as_o every_o other_o circle_n great_a or_o lesser_a by_o reason_n of_o the_o facile_a division_n of_o this_o number_n into_o a_o moiety_n a_o three_o four_o five_o six_o or_o eight_o its_o six_o part_n be_v sixty_o which_o admit_v of_o many_o more_o division_n without_o any_o fraction_n ii_o the_o equinoctial_a when_o the_o sun_n be_v therein_o posit_v make_v the_o day_n and_o night_n even_o and_o divide_v the_o sphere_n into_o the_o northern_a and_o southern_a hemisphere_n who_o pole_n be_v the_o pole_n of_o the_o world_n fifteen_o degree_n of_o this_o circle_n hourly_o rise_v on_o one_o part_n and_o as_o many_o on_o the_o other_o hourly_o set_v so_o that_o one_o degree_n thereof_o rise_v every_o four_o minute_n of_o a_o hour_n wherefore_o the_o equinoctial_a be_v say_v to_o be_v the_o measure_n of_o the_o primum_fw-la mobile_n iii_o this_o circle_n show_v the_o equinoctial_a point_n which_o happen_v twice_o in_o a_o year_n at_o the_o sun_n entrance_n into_o aries_n and_o libra_n it_o divide_v the_o zodiac_n into_o two_o moiety_n the_o southern_a and_o the_o northern_a and_o thence_o the_o sign_n be_v distinguish_v into_o southern_a and_o northern_a it_o be_v the_o measure_n of_o time_n and_o shows_z what_o declination_n the_o star_n or_o the_o part_n of_o the_o ecliptic_a have_v either_o northern_a or_o southern_a moreover_o in_o this_o circle_n be_v observe_v the_o ascension_n and_o descension_n of_o the_o zodiacal_a sign_n iv._o a_o line_n perpendicular_a to_o the_o meridian_n line_n represent_v the_o equator_fw-la and_o so_o on_o the_o contrary_a which_o yet_o may_v be_v describe_v without_o the_o meridian_n line_n if_o a_o right_a line_n be_v draw_v from_o a_o style_n or_o gnomon_n by_o the_o point_n of_o the_o shadow_n extremity_n on_o the_o day_n of_o the_o vernal_a or_o autumnal_a equinox_n for_o the_o altitude_n of_o the_o pole_n be_v give_v the_o altitude_n of_o the_o equinox_n be_v likewise_o give_v as_o be_v the_o compliment_n of_o the_o quadrant_n of_o a_o circle_n as_o for_o example_n the_o altitude_n of_o the_o pole_n at_o london_n be_v 51°_n 32′_n therefore_o the_o altitude_n of_o the_o equinoctial_a and_o consequent_o of_o the_o sun_n in_o the_o first_o degree_n of_o aries_n or_o libra_n be_v 38°_n 28′_n and_o contrary_a wise_a the_o altitude_n of_o the_o equinoctial_a be_v give_v the_o elevation_n of_o the_o pole_n be_v likewise_o give_v moreover_o the_o state_n of_o the_o whole_a heaven_n and_o earth_n from_o the_o give_v elevation_n of_o any_o one_o of_o these_o circle_n may_v be_v know_v provide_v the_o longitude_n of_o the_o place_n be_v know_v v._o the_o equator_fw-la in_o a_o right_a sphere_n pass_v by_o the_o zenith_n or_o pole_n of_o the_o horizon_n in_o a_o parallel_n sphere_n sphere_n it_o be_v coincident_a with_o the_o horizon_n and_o be_v the_o horizon_n itself_o in_o a_o oblique_a sphere_n it_o make_v acute_a angle_n with_o the_o horizon_n and_o in_o a_o right_a sphere_n it_o make_v rectangle_v in_o which_o position_n of_o the_o sphere_n all_o the_o point_n of_o the_o heaven_n daily_o rise_v and_o set_v except_v the_o pole_n of_o the_o world_n wherefore_o to_o the_o inhabitant_n in_o a_o right_a sphere_n there_o be_v perpetual_a equinox_n a_o double_a summer_n and_o double_a winter_n and_o different_a meridian_n shadow_n to_o wit_n sometime_o northern_a sometime_o southern_a hence_o they_o be_v call_v amphiscii_n or_o amphiumbrae_fw-la which_o happen_v likewise_o to_o those_o in_o a_o oblique_a sphere_n who_o vertex_fw-la be_v between_o the_o equator_fw-la and_o one_o of_o the_o tropic_n vi_o in_o a_o oblique_a sphere_n who_o vertex_fw-la be_v in_o one_o of_o the_o tropic_n the_o equator_fw-la be_v raise_v 66°_n and_o â—…_n and_o consequent_o the_o pole_n 23°_n and_o ½_o and_o the_o polar_a circle_n constitute_v the_o great_a circle_n of_o the_o alwayes-apparent_a and_o the_o alwayes-latent_a the_o inhabitant_n of_o this_o sphere_n have_v one_o summer_n and_o one_o winter_n and_o one_o and_o the_o same_o meridian_n shadow_n that_o be_v to_o say_v always_o to_o the_o north_n under_o the_o northern_a always_o to_o the_o south_n under_o the_o southern_a tropic_n thence_o call_v heteroscii_n or_o alteriumbrae_fw-la these_o three_o sphere_n that_o be_v to_o say_v the_o right_a and_o the_o two_o last_o oblique_a be_v in_o the_o torrid_a zone_n which_o be_v terminate_v by_o either_o tropic_a and_o which_o the_o equator_fw-la cut_v in_o the_o middle_n as_o the_o ecliptic_a do_v the_o zodiac_n vii_o in_o a_o oblique_a sphere_n who_o vertex_fw-la be_v in_o the_o midst_n between_o the_o tropic_a and_o the_o polar_a circle_n the_o equator_fw-la and_o the_o pole_n have_v both_o equal_a elevation_n of_o 45°_n hence_o the_o heat_n of_o the_o summer_n be_v as_o great_a as_o be_v the_o cold_a of_o the_o winter_n the_o high_a the_o equator_fw-la be_v the_o great_a be_v the_o heat_n and_o the_o cold_a more_o intense_a by_z how_o much_o the_o pole_n be_v more_o elevate_v but_o in_o a_o oblique_a sphere_n who_o vertex_fw-la be_v in_o the_o polar_a circle_n the_o equator_fw-la be_v elevate_v 23°_n and_o ½_o and_o the_o pole_n 66°_n and_o ½_o and_o the_o length_n of_o the_o great_a day_n there_o be_v 24_o hour_n by_o which_o the_o temperate_a zone_n be_v terminate_v towards_o the_o pole_n as_o it_o be_v towards_o the_o equator_fw-la by_o the_o tropic_a viii_o the_o frigid_a zone_n begin_v from_o the_o polar_a circle_n in_o which_o the_o great_a night_n and_o day_n be_v make_v so_o much_o great_a by_o how_o much_o the_o vertex_fw-la of_o the_o several_a habitation_n therein_o approach_v near_o to_o the_o pole_n until_o such_o time_n as_o it_o become_v a_o parallel-sphere_n in_o which_o they_o in_o the_o northern_a part_n have_v this_o privilege_n that_o their_o long_a day_n be_v seven_o day_n and_o more_o long_o than_o the_o great_a day_n which_o they_o in_o the_o south_n enjoy_v by_o reason_n of_o the_o sun_n be_v long_a stay_n in_o the_o septentrional_a sign_n wherein_o he_o move_v more_o slow_o to_o the_o place_n of_o his_o apogaeum_n in_o cancer_n to_o which_o if_o we_o add_v the_o twilight_n which_o be_v make_v by_o the_o sun_n eighteen_o degree_n depress_v beneath_o the_o horizon_n as_o also_o the_o refraction_n the_o artificial_a day_n with_o the_o inhabitant_n of_o such_o a_o parallel-sphere_n will_v be_v nine_o month_n and_o twelve_o day_n but_o on_o the_o contrary_a they_o in_o the_o south_n have_v their_o night_n seven_o day_n long_o than_o they_o in_o the_o north._n these_o be_v call_v periscii_n or_o circumumbrae_fw-la ix_o the_o zodiac_n cut_v the_o equator_fw-la in_o two_o opposite_a point_n at_o 〈◊〉_d angle_n who_o latitude_n extend_v zodiac_n to_o near_a 20°_n through_o the_o midst_n whereof_o run_v the_o ecliptic_a so_o call_v because_o the_o two_o great_a luminary_n the_o sun_n and_o moon_n when_o in_o conjunction_n diametrical_o oppose_v to_o one_o another_o direct_o under_o the_o say_a line_n be_v then_o eclipse_v x._o the_o ecliptic_a indivisible_a as_o to_o latitude_n oblique_o intersect_v the_o aequator_fw-la in_o two_o point_n which_o ecliptic_a two_o point_n of_o intersection_n be_v call_v the_o equinoctial_a point_n of_o which_o that_o in_o the_o first_o degree_n of_o aries_n which_o give_v beginning_n to_o the_o northern_a semicircle_n of_o the_o ecliptic_a be_v call_v the_o vernal_a the_o other_o in_o the_o first_o degree_n of_o libra_n whence_o the_o southern_a semicircle_n of_o the_o ecliptic_a begin_v be_v call_v the_o autumnal_a equinoctial_a point_n the_o two_o point_n of_o its_o great_a declination_n from_o the_o equator_fw-la be_v call_v the_o solstitial_a point_n whereof_o the_o northern_a in_o the_o first_o degree_n of_o cancer_n be_v call_v the_o summer_n solstice_n the_o southern_a in_o the_o first_o degree_n of_o capricorn_n be_v call_v the_o winter_n solstice_n in_o regard_n of_o which_o the_o sign_n in_o the_o zodiac_n be_v say_v to_o be_v descendant_n from_o cancer_n to_o capricorn_n and_o ascendant_n from_o capricorn_n to_o cancer_n because_o the_o sun_n ascend_v in_o these_o and_o descends_z in_o those_o sign_n xi_o the_o twelve_o natural_a sign_n into_o which_o the_o zodiac_n be_v divide_v begin_v from_o the_o common_a section_n of_o the_o equator_fw-la the_o equinoctial_a colour_n and_o the_o ecliptic_a proceed_v eastward_o the_o first_o of_o which_o be_v aries_n the_o second_o taurus_n etc._n etc._n which_o order_n they_o call_v the_o succession_n or_o sequence_n of_o the_o sign_n as_o the_o contrary_a order_n the_o precedence_n of_o the_o sign_n the_o zodiac_n and_o the_o ecliptic_a measure_n the_o secondary_a motion_n of_o the_o planet_n as_o the_o equator_fw-la do_v the_o first_o the_o longitude_n of_o the_o star_n be_v number_v in_o the_o ecliptic_a from_o the_o begin_n of_o aries_n according_a to_o the_o sequence_n of_o the_o sign_n unto_o a_o great_a circle_n pass_v by_o the_o pole_n of_o the_o ecliptic_a and_o
head_n shave_v on_o one_o side_n and_o long_a hair_n on_o the_o other_o by_o the_o first_o intimate_v the_o time_n of_o the_o winter_n solstice_n cum_fw-la velut_fw-la abrasis_fw-la incrementis_fw-la angustâ_fw-la manente_fw-la exstantiâ_fw-la ad_fw-la minimum_fw-la diei_fw-la sol_fw-la pervenerit_fw-la spatium_fw-la by_o the_o late_a the_o summer_n solstice_n or_o his_o full_a grow_v splendour_n to_o which_o he_o arrive_v by_o degree_n emerge_v from_o those_o strait_n of_o light_n in_o his_o abode_n in_o this_o winter_n tropic_n or_o to_o express_v it_o in_o macrobius_n his_o own_o word_n exit_fw-la quibus_fw-la latebris_fw-la vel_fw-la angustiis_fw-la rursus_fw-la emergens_fw-la ad_fw-la aestivum_fw-la hemisphaerium_fw-la enascens_fw-la in_fw-la augmenta_fw-la porrigitur_fw-la niggard_n light_n by_o a_o short_a course_n but_o long_o over_o those_o he_o stay_v who_o land_n be_v warm_v by_o his_o direct_a ray_n the_o fetter_v the_o of_o this_o we_o have_v give_v the_o reason_n and_o explication_n in_o the_o note_n upon_o the_o tropic_a of_o cancer_n and_o shall_v here_o only_o add_v that_o the_o ancient_a egyptian_n when_o they_o will_v express_v the_o course_n of_o the_o sun_n in_o his_o solstice_n signify_v the_o same_o by_o the_o hieroglyphic_n of_o two_o foot_n fasine_v together_o as_o represent_v by_o pierius_n l._n 5._o c._n 41._o and_o casalius_n de_fw-fr veter_fw-la egypt_n rit_fw-fr c._n 20._o intimate_v thereby_o the_o slowness_n of_o his_o motion_n or_o rather_o stationary_a condition_n to_o which_o i_o know_v not_o whether_o our_o author_n in_o this_o place_n may_v allude_v when_o he_o say_v vixque_fw-la dies_fw-la transit_fw-la as_o if_o the_o foot_n of_o the_o day_n be_v fetter_v slow-paced_a day_n there_o hardly_o pass_v round_o this_o from_o the_o aequator_fw-la four_o degree_n be_v find_v one_o circle_n more_o yet_o rest_v who_o circle_n who_o the_o antarctic_a polas_fw-la circle_n site_n incline_v tow'rd_v the_o south_n pole_n and_o southern_a bear_n confine_n range_v from_o the_o winter_n tropic_n five_o degree_n and_o near_o its_o pole_n as_o the_o north_n far_o from_o he_o thus_o heaven_n in_o two_o divide_v pole_n from_o pole_n do_v by_o that_o double_a sum_n measure_v the_o whole_a equal_a f_z the_o antarctic_a or_o southern_a polar_a circle_n which_o be_v describe_v a_o small_a circle_n parallel_n to_o the_o aequator_fw-la pass_v about_o the_o axis_n of_o the_o world_n by_o the_o southern_a pole_n of_o the_o ecliptic_a comprehend_v the_o frigid_a southern_a zone_n and_o terminate_a the_o temperate_a and_o be_v call_v the_o antarctic_a polar_a circle_n in_o opposition_n to_o the_o arctic_a before_o describe_v to_o which_o it_o be_v equal_a and_o by_o parmenides_n by_o the_o four_o parallel_n lesser_a circle_n before_o describe_v that_o be_v to_o say_v the_o two_o tropic_n and_o two_o polar_a circle_n mark_v out_o the_o heaven_n into_o five_o zone_n which_o by_o the_o latin_n be_v call_v fasciae_fw-la cinguli_fw-la plagae_fw-la and_o by_o cicero_n maculae_fw-la and_o orae_n that_o include_v between_o the_o two_o tropic_n be_v call_v the_o torrid_a zone_n which_o polybius_n divide_v into_o two_o part_v by_o the_o aequator_fw-la but_o he_o be_v not_o follow_v therein_o by_o any_o the_o two_o include_v between_o the_o tropic_n and_o the_o polar_a circle_n be_v call_v the_o temperate_a the_o other_o two_o include_v within_o the_o polar_a circle_n be_v call_v the_o frigid_a zone_n of_o these_o thales_n be_v say_v to_o have_v be_v the_o inventor_n though_o posidonius_n cite_v by_o strabo_n without_o ground_n ascribe_v it_o to_o parmenides_n five_o bound_n distinguish_v into_o 3._o into_o the_o distinction_n of_o the_o zone_n not_o suffice_v the_o ancient_n to_o mark_n out_o the_o various_a position_n and_o situation_n of_o several_a region_n on_o either_o side_n of_o the_o aequator_fw-la they_o add_v divers_a other_o parallel_n circle_n which_o they_o call_v climate_n a_o climate_n be_v a_o little_a zone_n include_v between_o two_o circle_n parallel_n to_o the_o aequator_fw-la or_o between_o the_o aequator_fw-la and_o one_o circle_n parallel_v thereunto_o mutual_o distant_a from_o one_o another_o by_o the_o arch_n of_o a_o meridian_n answerable_a to_o a_o half_a hour_n difference_n by_o which_o the_o long_a day_n of_o the_o year_n under_o one_o parallel_n vary_v from_o the_o long_a day_n of_o the_o year_n under_o another_o they_o be_v call_v climata_fw-la quasi_fw-la inclinamenta_fw-la as_o it_o be_v deflexious_a from_o a_o right_a position_n of_o sphere_n or_o so_o many_o stâ—…ps_n and_o degree_n mount_v from_o the_o aequator_fw-la towards_o the_o pole_n the_o ancient_n reckon_v only_o seven_o which_o they_o distinguish_v by_o the_o name_n of_o the_o place_n over_o oâ—…_n through_o which_o they_o pass_v viz._n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d etc._n etc._n i._n e._n per_fw-la meroenâ—…per_fw-la syenenâ—…per_fw-la alexandriam_fw-la per_fw-la rhodum_fw-la per_fw-la romam_fw-la per_fw-la pontum_fw-la per_fw-la boristhenem_fw-la but_o modern_a astronomer_n and_o geographer_n reckon_v 48._o that_o be_v to_o say_v from_o the_o aequator_fw-la on_o each_o side_n to_o either_o of_o the_o polar_a circle_n 24._o at_o which_o the_o climate_n end_n the_o long_a day_n there_o exceed_v the_o ordinary_a horary_a measure_n unless_o by_o a_o kind_n of_o analogy_n we_o reckon_v month_n and_o half_a month_n for_o hour_n and_o half_a hour_n those_o climate_n be_v again_o by_o the_o modern_n subdivide_v by_o draw_v in_o the_o middle_a of_o each_o climate_n another_o parallel_n line_n divide_v the_o same_o into_o two_o small_a zone_n which_o by_o a_o peculiar_a name_n be_v term_v parallel_n of_o which_o the_o more_o remote_a from_o the_o aequator_fw-la have_v the_o long_a day_n of_o the_o year_n differ_v from_o that_o near_o to_o it_o by_o the_o space_n of_o ¼_n of_o a_o hour_n these_o be_v in_o number_n double_a to_o the_o climate_n vide_fw-la weigel_n method_n sphaeric_n l._n 1._o sect._n 1_o cap._n 3._o clime_n mark_v out_o the_o difference_n of_o place_n and_o time_n which_o parallel_n one_o course_n with_o heaven_n partake_v and_o equal_a rise_n with_o that_o and_o set_v make_v since_o in_o the_o aethereal_a texture_n they_o observe_v their_o state_v distance_n and_o thence_o never_o swerve_v pass_v across_o by_o either_o pole_n conversion_n pole_n these_o be_v the_o coluri_n which_o be_v two_o great_a circle_n cut_v each_o other_o at_o right_a angle_n in_o the_o pole_n of_o the_o world_n whereof_o one_o pass_v by_o the_o aequinoctial_a the_o other_o by_o the_o solstitial_a point_n of_o the_o zodiac_n they_o be_v call_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d i._n e._n mutili_fw-la because_o in_o our_o oblique_a position_n of_o sphere_n they_o never_o entire_o appear_v above_o the_o horizon_n either_o at_o once_o or_o by_o successive_a conversion_n two_o more_o there_o be_v which_o intersect_v all_o those_o before_o and_o themselves_o too_o concur_v in_o the_o extreme_n of_o the_o world_n axis_n at_o right-angled_n scheme_n which_o mark_v the_o season_n out_o and_o heaven_n beside_o into_o four_o quarter_n equal_o divide_v of_o these_o through_o high_a heaven_n its_o course_n libra_n course_n the_o colurus_n aequinoctiorum_fw-la be_v describe_v a_o great_a circle_n of_o the_o sphere_n pass_v by_o the_o pole_n of_o the_o world_n and_o cut_v the_o aequator_fw-la at_o right_a angle_n in_o the_o two_o equinoctial_a point_n or_o first_o degree_n of_o aries_n and_o libra_n who_o pole_n be_v in_o the_o first_o point_n of_o cancer_n and_o capricorn_n or_o otherwise_o who_o pole_n be_v 90_o degree_n distant_a from_o the_o first_o point_n of_o aries_n and_o libra_n one_o steer_n aequinoctiorum_fw-la colurus_n aequinoctiorum_fw-la part_v the_o serpent_n tail_n and_o undrenched_a bear_n and_o tip_n of_o scorpio_n claw_n bear_v through_o mid-sky_n of_o hydra_n cut_v the_o extremity_n and_o middle_a of_o the_o southern_a centaur_n then_o concur_v in_o the_o adverse_a pole_n again_o return_v by_o the_o huge_a whale_n who_o scaly_a chine_n bright_a trigon_n and_o the_o bound_n the_o ram_n confine_v it_o mark_n then_o by_o cepheïs_n waste_n do_v run_v her_o mother_n head_n and_o end_n where_o it_o begin_v by_o the_o midst_n of_o this_o the_o world_n extremity_n and_o the_o fore-feet_n and_o neck_n of_o helice_n solstitiocum_fw-la colurus_n solstitiocum_fw-la which_o first_o of_o all_o when_o sol_n withdraw_v his_o light_n with_o seven_o fair_a star_n illuminate_v the_o night_n the_o diebus_fw-la the_o the_o colurus_n 〈◊〉_d be_v a_o great_a circle_n pass_v by_o the_o pole_n of_o the_o world_n and_o pole_n of_o the_o zodiac_n cut_v both_o the_o aequator_fw-la and_o ecliptic_a at_o right_a angle_n in_o the_o soâ—…al_a point_n or_o first_o degree_n of_o cancer_n and_o capricorn_n and_o have_v its_o proper_a pole_n in_o the_o first_o degree_n of_o aries_n and_o libra_n to_o these_o two_o circle_n be_v to_o be_v apply_v this_o vulgar_a disâ—…ch_n haec_fw-la duo_fw-la solstitium_fw-la faciunt_fw-la cancer_n capricornus_fw-la sed_fw-la nâ—…ies_fw-la aeâ—…uant_fw-la aries_n &_o libra_n diebus_fw-la
modus_fw-la observandi_fw-la parallax_n his_o selenographia_fw-la his_o industrious_a and_o select_a observation_n of_o the_o motion_n of_o the_o moon_n spot_n and_o his_o detection_n of_o hevelius_n his_o double_a error_n touch_v the_o moon_n be_v libration_n all_o which_o with_o several_a other_o be_v mention_v in_o the_o first_o tome_n of_o ricciolus_n his_o almage_a he_o write_v likewise_o a_o treatise_n de_fw-fr lumine_fw-la coloribus_fw-la &_o iride_fw-la mention_v in_o the_o journal_n des_fw-fr scavans_n tom._n 3._o p._n 175._o johannes_n wendelinus_n writ_n de_fw-fr hora_n passionis_fw-la &_o triduo_fw-la mortis_fw-la 1651._o christi_fw-la print_v at_o leipick_a in_o the_o year_n 1651._o honoratus_n de_fw-fr meynier_n a_o frenchman_n beside_o his_o paradox_n 1652._o wherein_o he_o maintain_v that_o experience_n ought_v to_o precede_v science_n and_o theorical_a learning_n to_o be_v acquire_v by_o practice_n put_v forth_o a_o small_a treatise_n of_o the_o sphere_n petrus_n courcier_n a_o french_a jesuit_n put_v forth_o a_o treatise_n entitle_v 1653._o astronomia_fw-la practica_fw-la contain_v practical_a observation_n of_o the_o celestial_a motion_n by_o certain_a astrolabe_fw-la by_o which_o the_o place_n and_o motion_n of_o any_o star_n may_v easy_o at_o any_o time_n be_v know_v daniel_n lipstorpius_n professor_n of_o philosophy_n and_o the_o liberal_a christum_fw-la science_n at_o lubeck_n put_v forth_o a_o treatise_n entitle_v copernicus_n redivivus_fw-la seu_fw-la de_fw-la vero_fw-la 1653._o systemate_fw-la mundi_fw-la wherein_o his_o design_n be_v not_o by_o new_a astronomical_a calculation_n or_o geometrical_a demonstration_n to_o confirm_v and_o establish_v the_o copernican_n hypothesis_n but_o by_o rational_a explanatory_n and_o physico-astronomical_a argument_n to_o lead_v the_o lover_n of_o truth_n to_o a_o easy_a and_o clear_a understanding_n of_o what_o be_v deliver_v by_o copernicus_n galileo_n longomontanus_n kepler_n bulialdus_n in_o their_o more_o diffusive_a write_n answer_v all_o the_o objection_n of_o the_o adversary_n party_n and_o clear_v what_o ever_o may_v seem_v difficult_a in_o the_o doctrine_n propose_v by_o the_o assertor_n of_o that_o hypothesis_n and_o that_o chief_o to_o this_o end_n to_o use_v his_o own_o word_n ut_fw-la stabilitâ_fw-la &_o suppositâ_fw-la nova_fw-la hac_fw-la mundi_fw-la dispositione_n copernicanâ_fw-la verissimâ_fw-la &_o solidissimâ_fw-la omnes_fw-la promiscuè_fw-fr ad_fw-la veram_fw-la philosophandi_fw-la rationem_fw-la &_o nobilissima_fw-la cartesiana_n monumenta_fw-la legenda_fw-la invitentur_fw-la of_o which_o he_o give_v the_o specimina_fw-la in_o a_o particular_a tractate_n explain_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d philosophandi_fw-la ratione_fw-la whereunto_o be_v annex_v a_o appendix_n in_o which_o there_o be_v divers_a argument_n relate_v to_o astronomical_a hypothesis_n of_o no_o vulgar_a strain_n monsieur_fw-fr p._n petit_n surintendant_a of_o the_o fortification_n of_o his_o most_o 1654._o christian_n majesty_n lewis_n fourteen_o publish_v in_o his_o own_o language_n a_o dissertation_n touch_v comet_n and_o particular_a observation_n of_o the_o comet_n appear_v in_o the_o year_n 1654._o etc._n etc._n and_o upon_o the_o eclipse_n of_o the_o sun_n which_o happen_v in_o the_o same_o year_n 1654._o of_o the_o exact_a method_n of_o take_v the_o diameter_n of_o the_o planet_n in_o a_o letter_n to_o monsieur_n auzout_v mention_v in_o the_o journal_n des_fw-fr scavant_n the_o reverend_a doctor_n seth_n ward_n sometime_o savilian_a professor_n of_o 1654._o astronomy_n in_o the_o university_n of_o oxford_n afterward_o bishop_n of_o excester_n and_o at_o present_a lord_n bishop_n of_o salisbury_n and_o chancellor_n of_o the_o most_o noble_a order_n of_o the_o garter_n have_v honour_v and_o illustrate_v astronomy_n by_o his_o learned_a labour_n have_v publish_v first_o his_o prelection_n de_fw-fr cometis_n wherein_o the_o nature_n of_o comet_n be_v discourse_v of_o a_o new_a theory_n of_o they_o propose_v and_o the_o history_n of_o a_o late_a comet_n which_o appear_v between_o the_o 19_o the_o and_o the_o 30_o the_o of_o december_n 1652._o declare_v he_o put_v forth_o likewise_o a_o brief_a inquision_n into_o the_o ground_n of_o bulialdus_n his_o philolaical_a astronomy_n wherein_o be_v detect_v bulialdus_n error_n in_o the_o method_n of_o the_o calculate_v the_o double_a inequality_n of_o the_o planet_n motion_n geometrical_o evince_v but_o the_o work_n by_o which_o he_o have_v chief_o on_o this_o subject_a signalise_v his_o name_n be_v his_o astronomia_fw-la geometrica_fw-la wherein_o a_o method_n be_v propose_v of_o geometrical_o resolve_v the_o astronomy_n of_o the_o primary_n planet_n either_o elliptical_a or_o circular_a and_o have_v mention_v this_o learned_a prelate_n we_o can_v but_o here_o subjoin_v his_o worthy_a friend_n sir_n paul_n neile_n knight_n one_o of_o the_o gentleman_n usher_n of_o his_o majesty_n 1654._o privy_a chamber_n who_o by_o his_o liberal_a expense_n great_a ingenuity_n vigilant_a observation_n excellent_a erudition_n and_o indefatigable_a study_n for_o i_o can_v speak_v he_o better_o than_o by_o repeat_v this_o signal_n character_n already_o give_v he_o have_v exceed_o contribute_v towards_o the_o advancement_n of_o astronomy_n to_o which_o may_v be_v add_v his_o exquisite_a skill_n in_o fit_v and_o order_v of_o glass_n for_o telescope_n thereby_o discover_v many_o new_a phaenomena_n hitherto_o unknown_a to_o other_o his_o not_o content_v himself_o with_o the_o exact_a knowledge_n of_o the_o ancient_a system_n and_o hypothesis_n but_o endeavour_v a_o plus_fw-fr ultrae_fw-la by_o mould_v and_o frame_v new_a one_o of_o his_o own_o for_o the_o future_a benefit_n as_o be_v hope_v and_o improvement_n of_o astronomy_n if_o at_o least_o he_o shall_v be_v please_v by_o the_o publication_n of_o these_o and_o other_o his_o worthy_a endeavour_n in_o this_o kind_n to_o do_v himself_o that_o honour_n which_o can_v be_v give_v he_o by_o this_o imperfect_a commemoration_n leonardus_n du_n liris_n a_o frenchman_n and_o a_o recollect-fryar_n put_v 1655._o forth_o in_o the_o year_n 1655._o in_o his_o own_o language_n a_o treatise_n entitle_v ephemeride_v maritime_a christum_fw-la calculate_v for_o the_o observation_n of_o the_o latitude_n and_o longitude_n at_o sea_n with_o a_o new_a method_n of_o perpetuate_a the_o ephemeris_fw-la of_o the_o sun_n by_o which_o at_o all_o time_n his_o declination_n may_v be_v exact_o find_v to_o which_o be_v add_v the_o invention_n of_o a_o instrument_n term_v la_fw-fr spire_n solaire_n for_o find_v out_o at_o any_o hour_n of_o the_o day_n by_o the_o sunbeam_n the_o height_n of_o the_o equator_fw-la and_o the_o elevation_n of_o the_o pole_n doctor_z john_n pell_n sometime_o professor_n of_o mathematics_n in_o the_o college_n at_o 1655._o breda_n and_o before_o that_o in_o the_o college_n at_o amsterdam_n where_o his_o learned_a colleague_n ger._n io._n vossius_fw-la as_o he_o testify_v de_fw-fr scientiis_fw-la matth._n c._n 10._o hear_v he_o with_o admiration_n read_v his_o public_a lecture_n upon_o diophantus_n by_o who_o likewise_o he_o be_v style_v a_o person_n of_o various_a erudition_n and_o a_o most_o acute_a mathematician_n publish_v his_o refutation_n of_o longomontanus_n his_o quadrature_n of_o the_o circle_n in_o which_o he_o have_v a_o digression_n or_o exercise_n show_v the_o error_n or_o fail_n of_o the_o great_a part_n of_o astronomer_n for_o want_n of_o better_a knowledge_n in_o geometry_n he_o publish_v likewise_o a_o little_a anonymous_n exercitation_n concern_v easter_n and_o he_o will_v further_o extreme_o oblige_v the_o learned_a world_n by_o make_v good_a what_o he_o propound_v in_o his_o idea_n of_o mathematics_n viz._n by_o lay_v down_o such_o a_o method_n as_o by_o that_o in_o a_o orderly_a way_n to_o deduce_v not_o only_o all_o that_o ever_o be_v to_o be_v find_v in_o our_o antecessor_n write_n and_o whatsoever_o they_o may_v seem_v to_o have_v think_v on_o but_o also_o all_o the_o mathematical_a invention_n theorem_n problem_n or_o precept_n that_o it_o be_v possible_a for_o the_o work_a wit_n of_o our_o successor_n to_o light_v upon_o and_o that_o in_o one_o certain_a unchanged_a order_n from_o the_o first_o seed_n of_o mathematics_n to_o their_o high_a and_o noble_a application_n as_o well_o as_o to_o the_o mean_a and_o most_o ordinary_a see_v his_o idea_n of_o mathematics_n print_v at_o the_o end_n of_o durie_n and_o hartlib_n reform_a school_n in_o 12_o o_o johannes_n caramuel_n lobkowitz_n bishop_n of_o campagna_n 1655._o and_o satrianum_fw-la in_o the_o kingdom_n of_o naples_n have_v write_v large_o through_o the_o whole_a course_n of_o the_o mathematics_n particular_o as_o to_o our_o purpose_n the_o several_a tractate_v follow_v pandoxium_fw-la physico-ethicum_a in_o three_o tome_n in_o the_o second_o whereof_o beside_o philosophy_n physic_n and_o the_o law_n he_o treat_v of_o astronomy_n solis_fw-la &_o artis_fw-la adulteria_fw-la in_o which_o he_o treat_v of_o dial_v coelestes_fw-la metamorphosis_n wherein_o he_o resolve_v the_o circular_a theory_n of_o the_o planet_n into_o other_o form_n mathesis_n biceps_fw-la vetus_fw-la &_o nova_n in_o two_o volume_n fol._n wherein_o among_o other_o various_a mathematical_a
likewise_o different_a and_o opposite_a zenith_n what_o rise_v to_o the_o one_o set_v to_o the_o other_o what_o be_v apparent_a to_o these_o be_v hide_v to_o those_o the_o noon_n of_o one_o be_v midnight_n to_o the_o other_o as_o to_o their_o shadow_n they_o be_v distinguish_v into_o amphiscii_n periscii_n and_o heteroscii_n the_o amphiscii_n be_v those_o who_o inhabit_v the_o torrid_a zone_n within_o the_o tropic_n especial_o near_a or_o under_o the_o equator_fw-la these_o have_v their_o meridian_n shadow_n at_o different_a time_n of_o the_o year_n diverse_o project_v now_o to_o the_o north_n now_o to_o the_o south_n according_a to_o the_o course_n of_o the_o sun_n on_o this_o or_o that_o side_n of_o the_o equator_fw-la when_o the_o sun_n be_v in_o their_o zenith_n they_o have_v no_o noon_n shadow_n at_o all._n they_o have_v two_o summer_n and_o two_o winter_n the_o periscii_n be_v they_o which_o inhabit_v the_o frigid_a zone_n especial_o near_o the_o pole_n of_o the_o world_n who_o shadow_n be_v carry_v round_o about_o they_o upon_o the_o plain_a of_o their_o horizon_n the_o heteroscii_n be_v they_o which_o inhabit_v the_o temperate_a zone_n they_o in_o the_o northern_a temperate_a zone_n have_v their_o meridian_n shadow_n always_o project_v towards_o the_o north_n pole_n those_o in_o the_o southern_a always_o to_o the_o south_n and_o this_o may_v suffice_v to_o complete_a this_o cosmographical-astronomical_a synopsis_n to_o which_o yet_o for_o the_o further_a satisfaction_n of_o the_o more_o curious_a reader_n we_o have_v think_v fit_a to_o add_v the_o twelve_o proposition_n of_o theodosius_n de_fw-fr habitationibus_fw-la in_o english_a theodosius_n de_fw-fr habitationibus_fw-la propos_fw-fr i._o to_o those_o that_o inhabit_v under_o the_o north_n pole_n one_o and_o the_o same_o hemisphere_n of_o the_o world_n be_v always_o apparent_a but_o the_o other_o hemisphere_n be_v always_o hide_a nor_o do_v any_o star_n either_o rise_n or_o set_v to_o they_o but_o those_o which_o be_v in_o the_o apparent_a hemisphere_n be_v always_o conspicuous_a and_o contrary_o those_o in_o that_o which_o be_v hide_v never_o appear_v prop._n ii_o to_o those_o that_o inhabit_v under_o the_o equinoctial_a circle_n all_o the_o star_n both_o arise_v and_o set_v and_o be_v move_v in_o equal_a time_n of_o twelve_o hour_n above_o the_o horizon_n and_o beneath_o it_o prop._n iii_o in_o every_o place_n within_o the_o middle_a zone_n the_o zodiac_n circle_n be_v at_o some_o certain_a time_n of_o the_o day_n at_o right_a angle_n to_o the_o horizon_n of_o the_o place_n for_o the_o circle_n parallel_n to_o the_o equator_fw-la draw_v through_o the_o vertex_fw-la or_o zenith_n of_o the_o place_n cut_v the_o zodiac_n circle_n in_o two_o point_n when_o therefore_o the_o point_n of_o either_o intersection_n be_v co-unit_a with_o the_o zenith_n than_o the_o zodiac_n circle_n pass_v through_o the_o pole_n of_o the_o horizon_n and_o therefore_o by_o the_o xv_o of_o the_o first_o of_o theodosius_n sphaerics_n cut_v the_o horizon_n at_o right_a angle_n and_o this_o be_v do_v twice_o in_o one_o diurnal_a revolution_n but_o to_o those_o inhabit_v under_o either_o tropic_a only_o once_o in_o a_o day_n that_o be_v when_o the_o solstitial_a point_n in_o which_o the_o zodiac_n circle_n touch_v both_o the_o tropic_n come_v to_o the_o zenith_n of_o that_o place_n prop._n iu._n to_o those_o who_o zenith_n be_v as_o far_o distant_a from_o the_o pole_n as_o the_o tropic_a from_o the_o equator_fw-la six_o sign_n shall_v at_o once_o happen_v to_o rise_v and_o six_o to_o set_v in_o one_o diurnal_a revolution_n that_o be_v to_o those_o who_o zenith_n be_v in_o the_o arctic_a or_o antarctic_a circle_n for_o whereas_o the_o pole_n of_o the_o zodiac_n be_v carry_v in_o the_o periphery_n of_o those_o circle_n therefore_o in_o one_o diurnal_a revolution_n the_o pole_n be_v once_o co-unit_a with_o the_o zenith_n that_o be_v the_o pole_n of_o the_o zodiac_n with_o the_o pole_n of_o the_o horizon_n and_o therefore_o the_o zodiac_n also_o be_v co-unit_a with_o the_o horizon_n which_o co-union_n be_v make_v in_o a_o instant_n and_o after_o that_o instant_n the_o zodiac_n be_v forthwith_o divide_v into_o two_o part_n by_o the_o horizon_n so_o that_o in_o a_o instant_n one_o semicircle_n of_o the_o zodiac_n rise_v and_o the_o other_o semicircle_n set_v prop._n v._n to_o those_o inhabit_v under_o the_o equinoctial_a circle_n the_o meridian_n shall_v cut_v above_o the_o horizon_n the_o semicircle_n of_o the_o zodiac_n into_o two_o equal_a part_n when_o the_o point_n of_o contact_n of_o the_o tropic_n and_o zodiack_n come_v to_o be_v in_o the_o horizon_n and_o then_o also_o the_o zodiac_n shall_v be_v at_o right_a angle_n to_o the_o horizon_n for_o the_o horizon_n pass_v then_o through_o the_o pole_n of_o the_o tropic_n and_o the_o point_n of_o the_o contact_n of_o the_o tropic_n and_o zodiack_n shall_v by_o the_o vi_o of_o the_o second_o of_o theodosius_n his_o spherics_n pass_v likewise_o through_o the_o pole_n of_o the_o zodiac_n and_o therefore_o by_o tbe_n xv._n of_o the_o first_o â—…all_v cut_v the_o same_o at_o right_a angle_n and_o so_o likewise_o the_o zodiac_n shall_v passby_n the_o pole_n of_o the_o horizon_n by_o which_o the_o meridian_n also_o pass_v from_o whence_o the_o arch_n as_o well_o of_o the_o meridian_n as_o of_o the_o zodiac_n intercept_v between_o the_o pole_n of_o the_o horizon_n and_o the_o horizon_n be_v quadrant_n prop._n vi_o to_o those_o inhabit_v under_o the_o equinoctial_a all_o semicircle_n of_o the_o zodiac_n arise_v in_o equal_a time_n as_o likewise_o do_v their_o opposite_a periphery_n for_o there_o every_o semicircle_n of_o the_o zodiac_n arise_v with_o the_o diurnal_a arch_n of_o its_o beginning_n but_o by_o the_o second_o of_o this_o present_a all_o the_o diurnal_a arch_n be_v semicircle_n by_o which_o be_v manifest_v the_o first_o part_n of_o this_o proposition_n the_o other_o part_n be_v clear_a see_v not_o only_o the_o opposite_a periphery_n of_o the_o zodiac_n but_o those_o likewise_o equal_o distant_a from_o the_o equinoctial_a point_n ascend_v with_o equal_a arch_n of_o the_o equinoctial_a prop._n vii_o to_o those_o who_o orison_n differ_v by_o a_o more_o easterly_a position_n the_o star_n neither_o arise_v together_o nor_o set_v together_o but_o by_o how_o much_o soon_o they_o arise_v to_o those_o who_o live_v more_o easterly_a by_o so_o much_o soon_o do_v they_o set_v for_o the_o orison_n of_o such_o place_n by_o reason_n of_o the_o equal_a altitude_n of_o the_o pole_n touch_v the_o same_o parallel_n of_o the_o equator_fw-la wherefore_o by_o the_o xiii_o of_o the_o second_o of_o theodosius_n spherics_n the_o arch_n from_o any_o parallel_n of_o the_o semicircle_n of_o the_o orison_n interject_v as_o well_o between_o the_o place_n eastward_o as_o those_o westward_n be_v the_o same_o therefore_o every_o star_n in_o a_o place_n eastward_o by_o the_o same_o arch_n anticipate_v its_o rise_n and_o thence_o its_o set_n and_o consequent_o in_o the_o same_o interval_n of_o time_n prop._n viii_o to_o those_o inhabit_v under_o the_o same_o meridian_n whatever_o star_n be_v between_o the_o great_a of_o the_o always_o apparent_a parallel_n and_o the_o equinoctial_a appear_v long_o above_o the_o horizon_n to_o those_o inhabit_v northward_o than_o they_o do_v to_o those_o inhabit_v southward_o and_o how_o much_o soon_o they_o arise_v to_o those_o inhabit_v northward_o so_o much_o late_a they_o set_v but_o those_o star_n which_o be_v between_o the_o great_a of_o the_o parallel_n always_o latent_fw-la and_o the_o equinoctial_a appear_v long_o above_o the_o horizon_n to_o those_o inhabit_v southward_o than_o they_o do_v to_o those_o inhabit_v northward_o and_o how_o much_o soon_o they_o rise_v to_o those_o inhabit_v southward_o so_o much_o late_a they_o set_v for_o to_o one_o travel_v towards_o the_o apparent_a pole_n the_o diurnal_a arch_n of_o a_o star_n decline_v that_o way_n from_o the_o equator_fw-la increase_v and_o to_o one_o go_v towards_o the_o pole_n that_o be_v depress_v and_o unapparent_n the_o diurnal_a arch_n of_o a_o star_n decline_v thitherward_o increase_v likewise_o but_o by_o collate_v the_o arch_n increase_v on_o either_o side_n that_o be_v to_o say_v towards_o the_o east_n or_o towards_o the_o west_n the_o rest_n of_o the_o proposition_n be_v manifest_a prop._n ix_o but_o if_o the_o horizon_n be_v neither_o under_o one_o parallel_n nor_o under_o the_o same_o meridian_n there_o will_v follow_v only_o a_o inequality_n of_o the_o arch_n raise_v above_o the_o horizon_n after_o the_o manner_n as_o before_o express_v but_o no_o anticipation_n of_o rise_n or_o setting_n this_o as_o the_o premise_a be_v manifest_a by_o reason_n of_o the_o great_a or_o lesser_a inclination_n of_o the_o horizon_n prop._n x._o to_o those_o inhabit_v under_o either_o pole_n the_o sun_n be_v carry_v constant_o for_o six_o month_n above_o the_o horizon_n
he_o be_v the_o same_o with_o the_o author_n of_o this_o poem_n have_v be_v as_o he_o reckon_v 120_o year_n old_a when_o he_o begin_v to_o write_v a_o ill_a age_n to_o play_v the_o poet_n in_o this_o piece_n be_v write_v in_o the_o late_a year_n of_o augustus_n his_o reign_n but_o the_o author_n in_o the_o proem_n of_o this_o work_n wish_n for_o long_a life_n to_o complete_a his_o intend_a poem_n wherefore_o say_v scaliger_n certain_o he_o be_v not_o then_o old_a who_o wish_v he_o may_v live_v to_o be_v so_o but_o leave_v this_o argument_n at_o present_a to_o be_v anon_o reassume_v we_o shall_v go_v on_o in_o our_o further_a enquiry_n the_o same_o pliny_n l._n 36._o c._n 10._o speak_v of_o one_o manilius_n a_o mathematician_n who_o upon_o the_o obelisque_n which_o augustus_n erect_v in_o the_o campus_n martius_n for_o find_v out_o the_o hour_n of_o the_o day_n by_o the_o shadow_n of_o the_o sun_n with_o the_o increase_n or_o decrease_v of_o the_o day_n and_o night_n place_v a_o guild_a ball._n cujus_fw-la vertice_fw-la umbra_fw-la colligeretur_fw-la in_o seem_v tipsam_fw-la alia_fw-la incrementa_fw-la jaculantem_fw-la apice_fw-la ratione_fw-la ut_fw-la ferunt_fw-la à _fw-la capite_fw-la hominis_fw-la intellecta_fw-la say_v pliny_n who_o commend_v the_o design_n as_o a_o thing_n worthy_a of_o knowledge_n and_o the_o invention_n of_o a_o pregnant_a wit._n to_o this_o person_n scaliger_n conceive_v this_o work_n may_v with_o fair_a probability_n be_v ascribe_v than_o to_o the_o former_a which_o opinion_n be_v by_o divers_a other_o learned_a person_n likewise_o embrace_v the_o excellent_o learned_a doctor_n isaac_n vossius_fw-la conceive_v yet_o that_o the_o manilius_n antiochus_n and_o the_o manilius_n mathematicus_fw-la before_o mention_v be_v not_o two_o distinct_a person_n but_o one_o and_o the_o same_o under_o different_a title_n and_o appellation_n and_o the_o very_a author_n of_o the_o poem_n we_o now_o publish_v who_o particular_a sentiment_n upon_o this_o 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poem_n be_v write_v he_o urge_v by_o way_n of_o reply_n that_o suetonius_n from_o who_o scaliger_n take_v the_o ground_n of_o his_o argument_n do_v not_o say_v that_o staberius_n eros_n open_v his_o school_n in_o sylla_n time_n but_o that_o he_o teach_v gratis_o the_o child_n of_o those_o who_o in_o sylla_n time_n be_v proscribe_v the_o word_n of_o suetonius_n be_v these_o sunt_fw-la qui_fw-la tradunt_fw-la tantâ_fw-la eum_fw-la scilicet_fw-la staberium_fw-la honestate_fw-la praeditum_fw-la ut_fw-la temporibus_fw-la syllanis_n proscriptorum_fw-la liberos_fw-la gratis_n &_o sine_fw-la mercede_fw-la ullâ_fw-la in_o disciplinam_fw-la receperit_fw-la how_o long_o that_o be_v after_o the_o time_n of_o proscription_n will_v be_v needless_a here_o to_o declare_v and_o that_o manilius_n be_v not_o so_o old_a as_o scaliger_n conceive_v when_o this_o piece_n be_v write_v may_v be_v make_v out_o from_o this_o that_o he_o be_v the_o cousin_n german_n of_o publius_n syrus_n who_o that_o he_o be_v bring_v a_o young_a boy_n to_o his_o patron_n macrobius_n affirm_v from_o who_o likewise_o and_o from_o the_o verse_n of_o laberius_n it_o may_v not_o obscure_o be_v collect_v that_o he_o be_v but_o a_o youth_n when_o he_o come_v upon_o the_o stage_n against_o laberius_n which_o be_v a_o little_a before_o the_o death_n of_o julius_n caesar_n and_o of_o laberius_n also_o to_o who_o he_o succeed_v on_o the_o mimic_n stage_n in_o the_o second_o year_n of_o the_o clxxxiv_o olympiad_n that_o be_v in_o the_o year_n of_o rome_n dccxi_o as_o eusebius_n testify_v and_o therefore_o see_v it_o be_v manifest_a that_o manilius_n publish_v this_o poem_n soon_o after_o the_o varian_n defeat_n which_o happen_v in_o the_o dcclxii_o of_o rome_n it_o be_v as_o evident_a likewise_o that_o between_o the_o youth_n or_o adolescence_n of_o manilius_n and_o the_o time_n wherein_o he_o write_v this_o piece_n there_o can_v not_o pass_v above_o one_o and_o fifty_o year_n and_o consequent_o there_o be_v no_o reason_n to_o assign_v so_o great_a a_o age_n to_o manilius_n as_o scaliger_n here_o do_v since_o perhaps_o he_o be_v not_o seventy_o year_n old_a when_o he_o have_v finish_v this_o his_o astronomical_a poem_n as_o to_o what_o scaliger_n subjoin_v touch_v manilius_n his_o wish_n for_o long_a life_n together_o with_o a_o cheerful_a old_a age_n and_o the_o inference_n he_o thence_o make_v that_o he_o can_v not_o reasonable_o be_v then_o think_v to_o be_v old_a who_o wish_v he_o may_v live_v to_o be_v so_o the_o argument_n be_v but_o weak_a for_o senium_fw-la be_v one_o thing_n and_o senium_fw-la annosum_fw-la another_o nor_o do_v he_o simple_o wish_v vitam_fw-la annosam_fw-la but_o vitam_fw-la annosam_fw-la quae_fw-la conjuncta_fw-la sit_fw-la cum_fw-la molli_fw-la senecta_fw-la which_o may_v be_v wish_v for_o even_o by_o those_o who_o be_v very_o old_a as_o for_o the_o name_n of_o antiochus_n he_o seem_v to_o have_v take_v it_o from_o the_o famous_a philosopher_n antiochus_n ascalonita_n often_o mention_v by_o cicero_n plutarch_n sextus_n empiricus_n and_o other_o who_o school_n not_o only_a cicero_n but_z varro_z brutus_n and_o divers_z other_o be_v say_v to_o have_v frequent_v and_o in_o all_o probability_n this_o our_o manilius_n also_o as_o be_v not_o only_o of_o the_o same_o nation_n but_o happy_o bear_v in_o the_o same_o town_n ascalon_n so_o that_o it_o may_v seem_v no_o wonder_n if_o after_o the_o manner_n of_o those_o time_n he_o take_v upon_o he_o the_o name_n of_o his_o worthy_a tutor_n and_o instructor_n for_o that_o he_o be_v a_o syrian_a be_v not_o only_o manifest_v from_o his_o consanguinity_n with_o publius_n mimus_fw-la but_o may_v likewise_o be_v collect_v from_o the_o title_n or_o inscription_n of_o this_o work_n which_o in_o a_o ancient_a and_o excellent_a manuscript_n in_o the_o possession_n of_o the_o say_a doctor_n vossius_fw-la be_v this_o m._n mallii_n poeni_n astronomicon_n divo_fw-la octavio_n quirino_n aug_n that_o the_o phaenician_o be_v by_o the_o roman_n call_v poeni_n be_v manifest_a out_o of_o horace_n cicero_n a_o put_fw-mi nonium_n and_o our_o author_n in_o this_o very_a poem_n he_o conclude_v therefore_o that_o this_o our_o manilius_n or_o as_o he_o be_v rather_o please_v to_o call_v he_o manlius_n be_v a_o phaenician_a and_o in_o all_o probability_n native_a of_o the_o same_o town_n as_o antiochus_n his_o tutor_n who_o name_n he_o assume_v from_o this_o dedication_n of_o his_o work_n to_o augustus_n by_o the_o name_n of_o quirinus_n as_o the_o inscription_n show_v will_v appear_v the_o error_n of_o those_o who_o imagine_v the_o same_o to_o have_v be_v dedicate_v to_o tiberius_n or_o some_o late_a roman_a emperor_n and_o the_o reason_n of_o attribute_v the_o name_n of_o quirinus_n to_o augustus_n may_v be_v make_v clear_a from_o the_o word_n of_o suetonius_n censentibus_fw-la quibusdam_fw-la romulum_fw-la appellari_fw-la oportere_fw-la quasi_fw-la &_o ipsum_fw-la conditorem_fw-la vrbis_fw-la etc._n etc._n dion_z likewise_o tell_v we_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d that_o augustus_n caesar_n extreme_o desire_v to_o be_v call_v romulus_n and_o joannes_n philadelphensis_n scripto_fw-la de_fw-fr mensibus_fw-la in_o aug._n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d etc._n etc._n octavianus_n son_n of_o octavius_n be_v after_o his_o great_a victory_n honour_v with_o divers_a name_n for_o by_o some_o he_o be_v call_v quirinus_n as_o another_o romulus_n etc._n etc._n as_o to_o the_o other_o manilius_n by_o pliny_n style_v mathematicus_fw-la he_o conceive_v that_o titular_a distinction_n to_o make_v no_o difference_n in_o the_o person_n but_o that_o he_o be_v the_o same_o with_o the_o former_a further_o add_v omninò_fw-la existimo_fw-la &_o illum_fw-la quoque_fw-la de_fw-la nostro_fw-la manilio_fw-la accipi_fw-la debere_fw-la and_o whereas_o salmasius_n affirm_v that_o the_o name_n manlius_n or_o manilius_n be_v not_o to_o be_v find_v in_o that_o place_n of_o pliny_n in_o any_o ancient_a manuscript_n and_o therefore_o aught_o to_o be_v expunge_v out_o of_o the_o print_a copy_n he_o make_v
legend_n libr._n amator_fw-la reckon_v he_o among_o the_o most_o useful_a and_o instructive_a author_n i_o exhort_v say_v he_o that_o young_a person_n read_v such_o author_n as_o they_o may_v peruse_v without_o offence_n to_o good_a manner_n such_o as_o persius_n seneca_n silius_n lucan_n claudian_n and_o manilius_n of_o the_o same_o judgement_n be_v arnoldus_fw-la clapmarius_n in_o nobil_n triennio_fw-la where_o he_o thus_o advise_v the_o generous_a young_a student_n read_v and_o read_v over_o again_o homer_n with_o theocritus_n and_o virgil_n horace_n with_o pindar_n lucretius_n and_o manilius_n with_o aratus_n the_o most_o eminent_o learn_v and_o judicious_a hugo_n grotius_n in_o the_o preface_n to_o the_o edition_n of_o his_o own_o latin_a poem_n show_v we_o the_o esteem_n and_o value_n he_o set_v upon_o our_o author_n i_o acknowledge_v myself_o say_v he_o to_o be_v now_o and_o then_o full_a of_o lucan_n spirit_n sometime_o above_o measure_n studious_a of_o manilius_n the_o excellent_a gerrard_n jo._n vossius_fw-la l._n the_o 4._o artibus_fw-la popular_a speak_v of_o that_o part_n of_o philosophy_n which_o be_v comprise_v under_o the_o title_n of_o grammatica_fw-la exegetica_fw-la without_o this_o say_v he_o how_o can_v any_o interpret_v lucretius_n or_o manilius_n parmenides_n or_o melissus_n who_o besprinkle_v their_o write_n with_o many_o thing_n draw_v from_o the_o inmost_a recess_n of_o philosophy_n paganinus_n gaudentius_n sometime_o public_a professor_n of_o law_n and_o rhetoric_n at_o pisa_n in_o his_o treatise_n de_fw-fr initio_fw-la &_o progressu_fw-la philosophiae_fw-la apud_fw-la romanos_fw-la rank_n he_o among_o the_o eminent_a light_n of_o learning_n in_o the_o augustaean_a age_n conclude_v with_o a_o epigram_n which_o for_o brevity_n sake_n we_o forbear_v here_o to_o insert_v in_o honour_n of_o so_o great_a a_o poet_n and_o astronomer_n as_o he_o there_o style_v he_o and_o in_o his_o obstetrix_fw-la literaria_fw-la thus_o further_o discourse_v of_o he_o if_o any_o shall_v go_v about_o to_o describe_v art_n and_o science_n in_o a_o poetical_a style_n he_o take_v not_o more_o from_o poetry_n than_o the_o bare_a versify_n part_n for_o he_o than_o begin_v to_o assume_v from_o his_o subject_n the_o part_n either_o of_o a_o philosopher_n astronomer_n physician_n or_o such_o like_a in_o which_o kind_n certain_o empedocles_n lucretius_n and_o manilius_n be_v more_o than_o poet_n brietius_n in_o syntagmate_n de_fw-fr poet._n latin_n compare_v the_o latin_a poesy_n with_o the_o different_a age_n of_o man_n make_v the_o virile_a and_o perfect_a state_n thereof_o to_o consist_v of_o virgil_n horace_n ovid_n tibullus_n propertius_n and_o our_o manilius_n add_v we_o to_o these_o the_o opinion_n of_o the_o most_o ingenious_a mr._n abraham_n cowley_n who_o in_o his_o essay_n of_o constitute_v a_o college_n for_o the_o infuse_v into_o youth_n knowledge_n and_o language_n at_o the_o same_o time_n conceive_v the_o way_n to_o be_v by_o breed_v they_o up_o in_o author_n or_o piece_n of_o author_n that_o treat_v of_o solid_a and_o learned_a that_o be_v natural_a matter_n among_o which_o he_o commend_v virgil_n georgic_n gratius_n nemesianus_n and_o manilius_n to_o accumulate_v more_o encomium_n be_v superfluous_a hear_v himself_o now_o speak_v his_o own_o character_n of_o the_o two_o hemisphere_n of_o the_o star_n the_o one_o serve_v for_o the_o northern_a constellation_n the_o other_o for_o the_o southern_a the_o star_n be_v express_v according_a to_o their_o several_a magnitude_n as_o may_v be_v see_v in_o the_o scale_n thereof_o set_v down_o in_o the_o southern_a hemisphere_n and_o the_o constellation_n be_v only_o prick_v out_o wherein_o with_o galluccius_n the_o middle_a way_n be_v take_v betwixt_o not_o place_v they_o in_o any_o or_o represent_v they_o in_o too_o dark_a shadow_a figure_n as_o some_o have_v do_v in_o the_o projection_n the_o eye_n be_v suppose_v to_o touch_v the_o south_n pole_n for_o the_o project_v of_o the_o northern_a hemisphere_n upon_o the_o 〈◊〉_d of_o the_o equator_fw-la and_o contrary_o for_o the_o southern_a so_o that_o the_o star_n be_v place_v in_o either_o by_o the_o arch_n of_o right_a ascension_n measure_v upon_o the_o equator_fw-la and_o by_o their_o distance_n or_o declination_n from_o it_o set_v off_o from_o a_o scale_n of_o double_a tangent_n which_o this_o and_o all_o other_o stereographical_a projection_n require_v among_o which_o i_o account_v this_o the_o most_o proper_a and_o useful_a to_o be_v here_o place_v because_o by_o add_v a_o index_n make_v as_o above_o say_v and_o divide_v as_o you_o see_v one_o of_o the_o semidiameter_n do_v in_o either_o hemisphere_n any_o star_n may_v easy_o be_v find_v either_o on_o the_o projection_n or_o in_o the_o heaven_n and_o the_o way_n or_o course_n of_o a_o new_a star_n or_o comet_n may_v be_v trace_v upon_o they_o by_o any_o that_o have_v but_o ordinary_a skill_n in_o the_o sphere_n and_o may_v serve_v very_o well_o instead_o of_o a_o celestial_a globe_n and_o be_v hold_v up_o before_o one_o in_o the_o night_n place_v according_a as_o the_o heaven_n require_v will_v plain_o show_v the_o position_n at_o that_o time_n and_o be_v ready_a to_o those_o that_o be_v yet_o more_o curious_a by_o the_o put_n on_o a_o particular_a horizon_n for_o other_o several_a uses_n but_o yet_o these_o instrument_n be_v not_o true_a astroscope_n there_o be_v not_o any_o point_n to_o place_v the_o eye_n in_o for_o discern_v the_o star_n in_o the_o heaven_n as_o they_o be_v place_v in_o the_o hemisphere_n for_o that_o will_v require_v another_o polar_a projection_n much_o like_o this_o follow_n viz._n the_o eye_n be_v to_o be_v suppose_v at_o the_o centre_n of_o the_o sphere_n project_v on_o a_o plane_n touch_v the_o sphere_n at_o the_o pole_n point_v in_o which_o the_o right_a ascension_n be_v measure_v as_o before_o by_o the_o angle_n at_o the_o pole_n point_v and_o the_o polar_a distance_n be_v set_v off_o by_o the_o tangent_n of_o the_o say_a ark_n on_o which_o supposition_n a_o entire_a hemisphere_n can_v be_v project_v and_o this_o be_v no_o other_o than_o the_o plane_n of_o a_o equinoctial_a dyal_n which_o be_v place_v erect_v to_o the_o axis_n if_o the_o eye_n be_v suppose_v therein_o at_o the_o distance_n of_o the_o radius_fw-la from_o the_o plane_n and_o if_o at_o the_o situation_n of_o each_o star_n on_o the_o plane_n holes_n be_v suppose_v or_o make_v in_o the_o plane_n if_o the_o eye_n behold_v two_o know_a star_n shine_v through_o their_o proper_a holes_n at_o the_o same_o time_n it_o shall_v behold_v all_o the_o rest_n likewise_o shine_v through_o their_o holes_n to_o which_o their_o name_n be_v affix_v this_o projection_n become_v a_o astroscope_n to_o teach_v beginner_n to_o know_v the_o star_n and_o will_v also_o serve_v as_o a_o nocturnal_a for_o find_v the_o star_n hour_n and_o by_o consequence_n by_o aid_n of_o the_o sun_n be_v right_a ascension_n proper_a to_o the_o day_n of_o the_o month_n the_o true_a hour_n of_o the_o night_n likewise_o the_o polar_a dyal_n or_o meridional_a plane_n as_o kircher_n in_o his_o ars_fw-la magna_fw-la lucis_fw-la &_o umbrae_n affirm_v have_v be_v apply_v by_o griembergerus_n as_o a_o astroscope_n to_o teach_v tyros_n how_o to_o know_v the_o star_n in_o both_o hemisphere_n and_o to_o find_v the_o hour_n of_o the_o night_n by_o the_o rotation_n of_o the_o plane_n affix_v as_o it_o be_v to_o the_o handle_n of_o a_o carpenter_n wimble_n the_o axis_n thereof_o be_v conceive_v to_o be_v parallel_n to_o the_o axis_n of_o the_o world_n and_o the_o eye_n at_o a_o knot_n tie_v in_o a_o thread_n on_o the_o say_a axis_n to_o be_v the_o centre_n of_o the_o earth_n be_v suppose_v to_o behold_v the_o star_n shine_v through_o their_o proper_a holes_n as_o before_o the_o distance_n from_o the_o eye_n to_o the_o plane_n be_v the_o radius_fw-la of_o the_o projection_n but_o neither_o of_o these_o astroscope_n be_v the_o same_o as_o schickardus_n treat_v of_o he_o be_v suppose_v to_o be_v the_o surface_n of_o a_o cone_n in_o the_o circle_n of_o the_o base_a whereof_o conceive_v a_o thread_n to_o represent_v a_o diameter_n a_o knot_n in_o it_o the_o centre_n a_o perpendicular_a from_o that_o knot_n to_o the_o side_n of_o the_o conic_a surface_n the_o radius_fw-la and_o a_o line_n pass_v through_o the_o vertex_fw-la of_o the_o cone_n which_o represent_v the_o pole_n point_v and_o the_o foot_n of_o that_o perpendicular_a to_o be_v a_o tangent_fw-la line_n each_o way_n in_o which_o the_o star_n be_v to_o be_v place_v according_a to_o their_o distance_n from_o the_o pole_n count_v from_o the_o pole_n point_v in_o respect_n of_o the_o graduation_n of_o the_o say_v tangent_fw-la the_o arch_n of_o right_a ascension_n be_v measure_v by_o the_o periphery_a of_o the_o circle_n in_o the_o base_a of_o the_o cone_n and_o this_o surface_n be_v to_o be_v conceive_v to_o be_v direct_v to_o the_o pole_n
a_o god_n and_o the_o universal_a fusion_n or_o extension_n of_o that_o mind_n vide_fw-la etiam_fw-la lip_n philosoph_n stoic_n l._n â—…_n dissert_n 8._o govern_v by_o a_o deity_n and_o be_v itself_o a_o god_n nor_o casual_o together_o meet_v as_o he_o will_v once_o persuade_v who_o first_o the_o wall_n of_o this_o wide_a system_n make_v derive_v make_v democritus_n who_o follower_n be_v epicurus_n as_o be_v before_o note_v there_o be_v in_o derision_n of_o this_o opinion_n a_o epigram_n of_o lucilius_n in_o the_o greek_a anthology_n l._n 2._o wherein_o there_o be_v a_o jocular_a comparison_n between_o diophantus_n a_o very_a little_a dwarf_n and_o epicurus_n his_o atom_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d of_o atom_n epicurus_n do_v compose_v this_o world_n because_o nothing_o he_o think_v less_o than_o those_o have_v diophantus_n live_v then_o he_o this_o all._n have_v bring_v from_o he_o for_o he_o be_v yet_o more_o small_a or_o though_o he_o hold_v atom_n all_o else_o contrive_v from_o he_o yet_o sure_o he_o atom_n have_v derive_v of_o atom_n and_o to_o those_o resolve_v again_o of_o which_o the_o solid_a earth_n the_o float_a main_n the_o fiery_a star_n and_o aether_n that_o create_v infinite_a orb_n and_o other_o dissipate_v consist_v all_o which_o revert_v unto_o their_o spring_n and_o transmutate_v the_o various_a form_n of_o thing_n but_o who_o can_v think_v this_o world_n educe_v shall_v be_v from_o such_o blind_a ground_n without_o a_o deity_n if_o chance_n do_v give_v chance_n rule_v this_o all_o whence_o be_v the_o sign_n then_o in_o their_o course_n so_o regular_a rise_v by_o turn_v as_o if_o by_o law_n enjoin_v none_o post_v on_o whilst_o other_o stay_v behind_o the_o same_o star_n summer_n the_o same_o winter_n grace_n day_n take_v and_o leaf_n to_o heaven_n one_o certain_a face_n what_o time_n troy_n state_n be_v by_o the_o greek_n undo_v cite_v undo_v respect_v this_o place_n in_o homer_n iliad_n 6._o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d ursamque_fw-la quam_fw-la &_o plaustrum_fw-la cognomine_fw-la vocant_fw-la quae_fw-la ibidem_fw-la vertitur_fw-la &_o oriona_n observat_fw-la where_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d answer_v to_o manilius_n his_o adversis_fw-la frontibus_fw-la ibant_fw-la these_o two_o constellation_n be_v place_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d in_o a_o direct_a line_n against_o one_o another_o as_o two_o jealous_a prince_n mark_v each_o other_o motion_n according_a to_o mr._n selden_n his_o observation_n in_o his_o title_n of_o honour_n c._n 1._o for_o the_o bear_n be_v princess_n of_o the_o northern_a constellation_n observe_n and_o look_n at_o orion_n prince_n of_o the_o southern_a which_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d or_o position_n of_o these_o constellation_n casaubon_n in_o strabon_n l._n 1._o conceive_v manilius_n to_o have_v collect_v from_o the_o only_a authority_n of_o homer_n before_o cite_v oppose_v do_v arctos_n and_o orion_n run_v she_o the_o world_n top_n to_o circle_n still_o content_a he_o face_v she_o to_o round_o the_o whole_a firmament_n the_o time_n of_o obscure_a night_n be_v then_o 24._o then_o the_o observation_n of_o the_o time_n of_o night_n from_o the_o rise_n or_o position_n of_o the_o star_n be_v usual_a among_o the_o ancient_n in_o the_o time_n of_o the_o trojan_a war_n by_o which_o they_o order_v their_o watch_n as_o by_o those_o they_o divide_v the_o night_n instance_n whereof_o we_o have_v in_o euripides_n his_o iphigeneia_n in_o aulid_o and_o rhesus_n from_o the_o late_a of_o which_o take_v this_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d etc._n etc._n cujus_fw-la est_fw-la vigilia_fw-la quis_fw-la per_fw-la vice_n succedit_fw-la mihi_fw-la primùm_fw-la jam_fw-la occidunt_fw-la signa_fw-la &_o septemgradâ—…_n pleiades_n aetheriae_fw-la oriuntur_fw-la volat_fw-la autem_fw-la aquila_n in_fw-la medio_fw-la cali_n etc._n etc._n the_o manner_n and_o method_n of_o their_o observation_n be_v thus_o deliver_v by_o attalus_n a_o ancient_a scholiast_n upon_o aratus_n as_o cite_v by_o hipparchus_n since_o sunset_n be_v the_o begin_n of_o night_n and_o that_o the_o sun_n be_v in_o always_o one_o of_o the_o 12_o sign_n it_o be_v manifest_a that_o know_v in_o what_o sign_n the_o sun_n be_v and_o in_o what_o degree_n thereof_o it_o may_v be_v easy_o tell_v what_o sign_n and_o what_o degree_n will_v arise_v in_o the_o begin_n of_o night_n for_o the_o part_n of_o the_o zodiac_n which_o be_v diametrical_o opposite_a to_o that_o which_o the_o sun_n be_v in_o at_o his_o set_n will_v at_o the_o begin_n of_o night_n be_v see_v to_o rise_v which_o be_v observe_v and_o know_v for_o as_o much_o as_o every_o night_n six_o sign_n arise_v from_o the_o east_n it_o may_v be_v tell_v what_o part_n of_o night_n answer_v to_o their_o rise_n and_o how_o much_o be_v remain_v between_o that_o and_o the_o rise_n of_o the_o sun_n but_o the_o error_n of_o this_o rude_a observation_n hipparchus_n refute_v from_o the_o inequality_n of_o time_n in_o the_o ascension_n of_o the_o several_a sign_n some_o of_o they_o be_v less_o than_o their_o dodecatemoria_fw-la other_o extend_v beyond_o as_o for_o example_n cancer_n be_v much_o less_o than_o the_o 12_o part_n or_o division_n of_o the_o zodiac_n allot_v to_o it_o virgo_fw-la take_v up_o some_o part_n of_o leo_n and_o scorpio_n the_o southern_a fish_n be_v almost_o whole_o in_o the_o dodecatemorion_n of_o aquarius_n so_o that_o their_o unequal_a and_o different_a rise_n must_v needs_o beget_v a_o error_n in_o the_o computation_n of_o time_n and_o consequent_o the_o hour_n of_o night_n can_v thereby_o be_v true_o determine_v vide_fw-la hipparch_n in_o arat._n phâ—…nomen_fw-la l._n 2._o &_o marcianum_n capellam_fw-la l._n 8._o c._n 24._o devine_v from_o the_o bright_a star_n heaven_n hadit_v subject_a hadit_v the_o hour_n as_o they_o be_v now_o distinguish_v be_v by_o some_o conceive_v not_o to_o have_v be_v in_o use_n with_o the_o ancient_n for_o certain_a it_o be_v say_v casaubon_n animadvers_fw-la in_o athenaeum_n l._n 1._o c._n 1._o that_o neither_o in_o the_o time_n of_o plato_n or_o aristotle_n nor_o many_o year_n after_o they_o be_v the_o word_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d in_o use_n among_o the_o greek_n as_o we_o nâ—…w_v take_v it_o and_o therefore_o pollux_n reckon_v up_o the_o part_n by_o which_o the_o day_n and_o night_n be_v distinguish_v by_o the_o ancient_n make_v no_o mention_n thereof_o of_o this_o opinion_n likewise_o be_v salmasius_n in_o plin._n exercitat_fw-la tom._n 1._o p._n 650._o with_o who_o menagius_n seem_v to_o comply_v in_o observat._n ad_fw-la laertium_fw-la l._n 1._o p._n 44._o the_o contrary_a yet_o viz._n that_o the_o day_n be_v then_o by_o the_o greek_n divide_v into_o part_n analogical_a to_o the_o hour_n in_o use_n with_o we_o with_o clear_a argument_n be_v defend_v by_o petavius_n in_o uranölog_n dissertat_fw-la l._n 7._o c._n 8._o and_o the_o learned_a leo_n allatius_n dé_v mensurá_fw-fr temporum_fw-la antiquorum_fw-la c._n 4._o and_o that_o among_o the_o jew_n and_o other_o eastern_a nation_n the_o division_n of_o the_o day_n into_o hour_n be_v very_o ancient_a if_o not_o coaeval_n with_o the_o first_o division_n of_o time_n into_o day_n week_n month_n or_o year_n kircher_n in_o oedip._n egypt_n tom._n 2._o part_n 2._o p._n 225._o endeavour_v to_o demonstrate_v indeed_o as_o to_o the_o roman_n censorinus_n de_fw-fr die_fw-fr natal_n c._n 23._o plain_o affirm_v that_o the_o word_n hora_n be_v not_o know_v among_o they_o until_o 300_o year_n after_o the_o building_n of_o rome_n they_o divide_v the_o day_n into_o two_o part_n only_o which_o they_o call_v ortum_fw-la &_o occasum_fw-la afterward_o as_o pliny_n l._n 7._o c._n 60._o witness_v the_o noonstead_o be_v add_v call_v meridies_n quèd_a part_n diei_fw-la bifariam_fw-la tum_fw-la divisi_fw-la discernebat_fw-la say_v censorinus_n these_o part_n of_o the_o day_n they_o call_v tempestates_fw-la so_o in_o the_o 12_o table_n sol_fw-la occasus_fw-la suprema_fw-la tempestas_fw-la esto_fw-la the_o manner_n of_o signify_v the_o time_n of_o day_n be_v by_o a_o beadle_n or_o cryer_n at_o the_o command_n of_o the_o praetor_n or_o consul_n pliny_n describe_v it_o thus_o the_o consul_n beadle_n or_o cryer_n stand_v in_o the_o court_n when_o he_o behold_v the_o sun_n between_o the_o rostra_fw-la and_o the_o graegostasis_fw-la pronounce_v it_o be_v noon_n but_o when_o the_o sun_n incline_v downward_o from_o the_o column_n name_v moenia_fw-la to_o the_o common_a jailor_n prison_n than_o he_o give_v warning_n of_o the_o last_o quarter_n of_o the_o day_n and_o so_o pronounce_v nor_o have_v they_o any_o other_o mean_n to_o know_v how_o the_o day_n go_v until_o after_o the_o time_n of_o the_o first_o punick_o war._n afterward_o they_o divide_v the_o day_n and_o so_o the_o night_n likewise_o into_o 12_o part_n which_o they_o call_v hour_n not_o equal_a but_o vary_v according_a to_o the_o length_n or_o shortness_n of_o the_o day_n in_o summer_n or_o winter_n and_o therefore_o
call_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d seu_fw-la temporales_fw-la which_o division_n or_o distinction_n of_o time_n they_o receive_v from_o the_o greek_n who_o derive_v it_o from_o the_o egyptian_n as_o they_o from_o the_o babylonian_n or_o chaldaean_n according_a to_o herodotus_n the_o egyptian_n give_v to_o the_o several_a hour_n of_o the_o day_n these_o particular_a name_n to_o the_o first_o lampé_fw-fr to_o the_o second_o alexidi_n to_o the_o three_o terpsithi_o to_o the_o four_o phenon_n to_o the_o five_o erebe_n to_o the_o six_o diauge_n to_o the_o seven_o proka_n to_o the_o eight_o panphé_n to_o the_o nine_o loitia_n to_o the_o ten_o porphuré_n to_o the_o eleven_o panphout_n to_o the_o twelve_o truphé_n those_o of_o the_o night_n have_v likewise_o their_o distinct_a denomination_n but_o salmasius_n who_o in_o diatrib_n de_fw-fr antiq._n astrolog_n give_v we_o these_o say_z he_o can_v never_o meet_v with_o the_o other_o the_o chinese_n ancient_o and_o from_o they_o the_o turkish_a astronomer_n divide_v the_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d or_o natural_a day_n into_o 12_o equal_a part_n each_o part_n they_o call_v jagg_n answer_v to_o our_o bihoria_n and_o to_o every_o jagg_n they_o apply_v a_o particular_a name_n from_o some_o creature_n as_o to_o the_o chin._n turk_n 1._o zeh_n cescu_n mus._n 2._o jiu._n tut._n bos._n 3._o yem_n pars._n pardus_n 4._o mau._n tuscan_n lepus_fw-la 5._o jin._n lui_o crocodile_n 6._o siz_n yilang_n serpens_fw-la 7._o vou._n junad_n equus_n 8._o vi._n kui_fw-la ovis_fw-la 9_o shin_n pijin_n simia_fw-la 10._o you._n dakiâ—…k_n gallina_n 11._o su._n eit._n canis_n 12._o chai_n tungus_n porcus_fw-la every_o one_o of_o these_o jagg_n they_o divide_v into_o eight_o part_n which_o they_o call_v geh_a and_o may_v be_v term_v scrupula_fw-la horaria_fw-la again_o they_o divide_v every_o day_n into_o 10000_o particle_n call_v each_o particle_n fenac_n which_o may_v be_v interpret_v scrupula_fw-la diaria_fw-la vid._n epoch_n celebr_n ulugh_n beigh_o edit_n per_fw-la gravium_fw-la p._n 6._o of_o the_o oeconomical_a distribution_n of_o the_o 12_o hour_n of_o the_o day_n among_o the_o roman_n see_v martial_a lib._n 4._o epigr._fw-la 8._o and_o the_o particular_a explication_n thereof_o in_o stuckius_n de_fw-fr antiqu._n conviv_n l._n 1._o c._n 11._o and_o in_o galluccius_n in_o virgilian_n vindicat._n aeneid_n l._n 9_o loc_n 2._o the_o invention_n of_o sun-dyals_n for_o distinguish_v the_o hour_n be_v not_o know_v in_o rome_n until_o the_o time_n of_o the_o tarentine_n war_n of_o which_o see_v pliny_n and_o censorinus_n as_o before_o cite_v among_o the_o greek_n it_o be_v early_o be_v attribute_v by_o some_o to_o anaximenes_n by_o other_o to_o pherecydes_n of_o syrus_n of_o which_o laertius_n in_o his_o life_n bâ—…ebartus_fw-la in_o geogr._n sacr._n l._n 1._o c._n 14._o make_v the_o invention_n much_o ancient_a from_o the_o testimony_n of_o homer_n odyss_n ó._fw-mi with_o the_o jew_n it_o be_v 200_o year_n before_o the_o time_n of_o pherecydes_n as_o appear_v by_o king_n achaz_n his_o dyal_n the_o use_n of_o the_o clepsydra_n or_o water-hour-glass_n be_v first_o invent_v by_o cresibius_fw-la of_o alexandria_n who_o flourish_v in_o the_o time_n of_o ptolomaeus_n evergetes_n first_o bring_v into_o use_n among_o the_o roman_n by_o scipio_n nasica_n as_o vitruvius_n l._n 9_o c._n 9_o the_o use_n of_o clock_n or_o watch_n seem_v not_o to_o be_v very_o ancient_a there_o not_o appear_v any_o mention_n thereof_o early_o than_o in_o these_o verse_n of_o bato_n the_o comic_a poet_n cite_v in_o atbenaeus_n l._n 4._o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d ut_fw-la aliquis_fw-la putet_fw-la non_fw-la ampuliam_fw-la te_fw-la circumgestare_fw-la sed_fw-la horologium_fw-la which_o bato_n casaubon_n reckon_v inter_fw-la 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d poetas_fw-la though_o his_o conjecture_n be_v severe_o reprehend_v by_o allatius_n in_o his_o work_n before_o cite_v and_o believe_v that_o citation_n to_o be_v the_o only_a instance_n that_o be_v to_o be_v find_v in_o any_o monument_n of_o antiquity_n touch_v that_o subject_a hour_n design_v since_o when_o how_o many_o kingdom_n waste_v be_v lay_v how_o many_o nation_n have_v be_v captive_a make_v imperantem_fw-la make_v to_o this_o purpose_n ennius_n l._n 8._o mortalem_fw-la summum_fw-la fortunarepente_a reddidit_fw-la è_fw-la summo_fw-la regno_fw-la ut_fw-la famul_fw-la '_o infimus_fw-la esset_fw-la apposite_z likewise_o be_v that_o of_o juvenal_n satyr_n 7._o servis_n regna_fw-la dabant_fw-la captivis_fw-la fata_fw-la triumphos_fw-la and_o of_o seneca_n controver_n l._n 1._o e._n 1._o mutabilis_fw-la est_fw-la casus_fw-la dederunt_fw-la victis_fw-la terga_fw-la victores_fw-la &_o quos_fw-la provexerat_fw-la fortuna_fw-la destituit_fw-la quid_fw-la referam_fw-la marium_n sexto_fw-la consulatis_fw-la carthagine_v mendicantem_fw-la septimo_fw-la imperantem_fw-la empire_n and_o servitude_n how_o oft_o dissolve_v by_o fortune_n power_n and_o different_o revolve_v obvenit_fw-la revolve_v mean_v the_o roman_a state_n and_o people_n which_o rise_v from_o the_o ruin_n and_o ash_n of_o subvert_a troy_n which_o may_v be_v illustrate_v by_o this_o of_o cyprian_a de_fw-fr idol_n vanitat_fw-la regna_fw-la non_fw-la merito_fw-la accidunt_fw-la sed_fw-la sort_n variantur_fw-la imperium_fw-la antè_fw-la tenuerunt_fw-la &_o assyrii_fw-la &_o medi_fw-la &_o persae_n eâ—…_n graecos_n &_o aegyptios_n regnâ—…sse_n câ—…gnoviinus_fw-la ita_fw-la vicibus_fw-la petestatum_fw-la romanis_n quoque_fw-la ut_fw-la &_o caeteris_fw-la imperandi_fw-la tempus_fw-la obvenit_fw-la troy_n ash_n now_o to_o what_o a_o glorious_a state_n she_o reinspire_v aeneâ—…des_n reinspire_v the_o roman_n bring_v upon_o greece_n the_o same_o desolation_n which_o that_o once_o bring_v upon_o troy_n one_o of_o the_o most_o flourish_a city_n of_o asia_n to_o this_o place_n may_v not_o impertinent_o be_v apply_v that_o epigram_n of_o the_o emperor_n adrion_n in_o the_o greek_a anthology_n l._n 1._o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d hector_n thou_o blood_n of_o mars_n if_o word_n thy_o ear_n now_o in_o the_o grave_n may_v reach_v rise_v and_o appear_v see_v thy_o fame_a troy_n by_o a_o new_a race_n possess_v though_o not_o so_o stout_a as_o thou_o valiant_a at_o least_o foil_v be_v the_o myrmidon_n tell_v achilles_n these_z thessaly_n now_o stoop_v to_o the_o aeneâ—…des_n greece_n suffer_v asia_n fate_n it_o be_v tedious_a to_o recount_v the_o age_n past_a how_o oft_o the_o sun_n have_v see_v the_o world_n new_o cast_v all_o thing_n by_o humane_a law_n create_v change_n land_n to_o each_o other_o know_v in_o time_n grow_v strange_a nation_n in_o course_n of_o many_o year_n put_v on_o a_o various_a face_n but_o heaven_n wear_v always_o one_o grow_v not_o by_o length_n of_o day_n nor_o waste_v with_o age_n always_o in_o course_n yet_o faint_v not_o in_o its_o stage_n 〈◊〉_d stage_n the_o opinion_n of_o xenophaneâ—…_n as_o before_o note_v and_o of_o aristotle_n defend_v by_o averro_n borrow_v from_o ocellus_n lucanus_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d will_v ever_o be_v the_o same_o since_o such_o it_o be_v ever_o other_o than_o it_o be_v our_o 71._o our_o not_o unlike_a to_o this_o be_v that_o argument_n in_o st._n peter_n epistol_n 2._o take_v up_o by_o the_o libertine_n of_o that_o age_n exit_fw-la quo_fw-la patres_fw-la dormiâ—…runt_fw-la omnia_fw-la sic_fw-la permanent_a ab_fw-la initio_fw-la creâ—…nis_fw-la but_o against_o this_o unchangeable_a durability_n of_o the_o heaven_n seneca_n declare_v quid_fw-la mutationis_fw-la periculo_fw-la exceplum_fw-la non_fw-la terra_fw-la non_fw-la coelum_fw-la etc._n etc._n what_o be_v exâ—…pe_n from_o the_o danger_n of_o change_n not_o the_o earth_n not_o heaven_n not_o the_o universal_a context_n of_o all_o thing_n guide_v by_o the_o conduct_n of_o god_n himself_o it_o shall_v not_o always_o bold_a this_o order_n a_o day_n will_v come_v that_o shall_v throw_v it_o quite_o out_o of_o its_o course_n senec._n epistol_n 71._o father_n see_v it_o never_o nor_o shall_v our_o nephew_n it_o be_v a_o god_n and_o know_v nothing_o of_o change_n which_o age_n and_o time_n impose_v that_o the_o sun_n never_o start_v to_o the_o north_n aside_o nor_o change_a course_n back_o to_o the_o east_n do_v ride_v and_o to_o strange_a land_n a_o newborn_a day_n disclose_v that_o the_o moon_n always_o the_o same_o 3._o same_o apposite_o macrobius_n in_o somn._fw-la scip._n l._n 1._o c._n 6._o similibus_fw-la dispensationibus_fw-la hebdomadum_fw-la luna_fw-la sutluminis_fw-la vice_n sempiternd_a lege_fw-la variando_fw-la disponit_fw-la and_o statius_n sylu._n l._n 3._o seruit_fw-la &_o astrorum_fw-la velox_fw-la chorus_n &_o vaga_fw-la seruit_fw-la luna_fw-la nec_fw-la injussae_fw-la tâ—…ties_fw-la redit_fw-la orbita_fw-la lucis_fw-la these_o change_n of_o the_o moon_n the_o ancient_a greek_n call_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d and_o from_o they_o the_o latin_n phase_n sive_fw-la apparitiones_fw-la the_o name_n of_o the_o say_a phase_n or_o appearance_n especial_o of_o the_o four_o most_o notable_a be_v these_o the_o first_o reckon_v her_o increase_a change_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d i._n e._n corniculaâ—…a_o about_o 60_o degree_n distant_a from_o the_o sun_n
p._n 591._o pincierus_n in_o parerg._n otii_fw-la marp_n l._n 2._o c._n 13._o and_o grotius_n in_o arati_fw-la phaenomen_fw-la one_o tow'rd_v the_o north_n sustain_v the_o shine_a bear_n and_o from_o the_o pole_n circle_n pole_n the_o ancient_a greek_n divide_v the_o sphere_n into_o sixty_o part_n whereof_o one_o be_v equal_a to_o six_o of_o the_o common_a division_n of_o 360_o degree_n this_o manner_n of_o division_n our_o author_n as_o follow_v eudoxus_n and_o hipparchus_n here_o make_v use_v of_o though_o hereafter_o in_o describe_v the_o zodiac_n he_o take_v up_o the_o common_a way_n of_o divide_v a_o sphere_n or_o circle_n into_o 360_o part_n or_o degree_n which_o show_v the_o same_o to_o have_v be_v also_o usual_a with_o the_o ancient_n at_o least_o about_o his_o time_n according_a to_o the_o first_o division_n our_o author_n here_o make_v the_o arctic_a polar_a circle_n to_o be_v distant_a from_o the_o pole_n six_o of_o those_o sixty_o part_n make_v thirty_o six_o degree_n according_a to_o the_o late_a division_n which_o yet_o can_v be_v understand_v of_o the_o roman_a horizon_n wherein_o manilius_n then_o write_v but_o be_v to_o be_v apply_v to_o that_o of_o cnidus_n or_o rhodes_n according_a to_o the_o doctrine_n of_o eudoxus_n and_o hipparchus_n who_o manilius_n here_o follow_v as_o be_v right_o observe_v by_o scaliger_n upon_o this_o place_n and_o gassendus_fw-la as_o before_o cite_v and_o general_o the_o rest_n of_o the_o greek_n give_v the_o like_a situation_n of_o this_o circle_n in_o the_o athenian_a horizon_n and_o by_o a_o catachresis_fw-la universal_o in_o any_o other_o part_n of_o greece_n this_o be_v here_o premise_v and_o observe_v the_o reader_n will_v the_o better_o understand_v the_o follow_a measure_n and_o description_n which_o our_o author_n use_v in_o the_o position_n of_o the_o celestial_a circle_n six_o part_n of_o heaven_n retire_v the_o other_o touch_v laertius_n touch_v that_o be_v the_o tropic_a of_o cancer_n the_o tropic_n be_v so_o call_v from_o the_o word_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d which_o signify_v conversion_n or_o turn_n because_o the_o sun_n when_o it_o come_v at_o those_o circle_n turn_v back_o to_o the_o aequator_fw-la again_o nor_o ever_o go_v beyond_o those_o bound_n either_o to_o the_o north_n or_o south_n hence_o the_o egyptian_n as_o be_v note_v by_o clemens_n alexandrinus_n l._n 5._o stromat_n hieroglyphical_o decipher_v the_o tropic_n under_o the_o figure_n of_o two_o dog_n as_o if_o they_o be_v guard_n depute_v by_o nature_n to_o keep_v in_o and_o restrain_v the_o sun_n from_o run_v beyond_o his_o bound_n the_o first_o among_o the_o greek_n who_o find_v out_o these_o tropic_n be_v say_v to_o be_v thales_n the_o milesian_n of_o which_o he_o write_v a_o particular_a treatise_n according_a to_o the_o testimony_n of_o eudemus_n cite_v by_o laertius_n cancer_n utmost_a fire_n cancer_n the_o summer_n tropic_n or_o tropic_a of_o cancer_n where_o phoebus_n consummate_v his_o light_n and_o stay_v bear_v through_o solstice_n through_o not_o unlike_o be_v that_o of_o nemesianus_n postquam_fw-la phoebus_n candentem_fw-la fervidus_fw-la axem_fw-la contigerit_fw-la tardasque_fw-la vias_fw-la cancrique_fw-la morantis_fw-la sidus_n inest_fw-la where_o ulitius_n give_v the_o reason_n of_o that_o epithet_n morantis_fw-la quia_fw-la incrementa_fw-la dierum_fw-la tardè_fw-la adeo_fw-la consummantur_fw-la &_o 〈◊〉_d ut_fw-la vix_fw-la percipi_fw-la possit_fw-la &_o quasi_fw-la sistatur_fw-la sol_fw-la whence_o the_o solstice_n the_o explication_n whereof_o can_v be_v better_a give_v than_o in_o the_o word_n of_o julius_n scaliger_n in_o problemat_n gellian_n be_v circulus_fw-la quem_fw-la sol_fw-la quotidie_fw-la signat_fw-la non_fw-la est_fw-la circulus_fw-la sed_fw-la magâ—…s_fw-la quaedam_fw-la spira_n neque_fw-la enim_fw-la revolutionis_fw-la finis_fw-la eodemm_n committitur_fw-la unde_fw-la initium_fw-la habuerat_fw-la major_a enim_fw-la distantiae_fw-la est_fw-la à _fw-la puncto_fw-la unde_fw-la digressus_fw-la est_fw-la ad_fw-la punctum_fw-la ad_fw-la quem_fw-la horae_n 24_o eum_fw-la perduxere_fw-la ubi_fw-la propior_fw-la fit_a iis_fw-la signis_fw-la quae_fw-la propius_fw-la ad_fw-la aequinoctium_n accedunt_fw-la propter_fw-la obliquitatem_fw-la itaque_fw-la cum_fw-la tendit_fw-la ad_fw-la solstitia_fw-la propter_fw-la lineae_fw-la prope_fw-la rectitudinem_fw-la vix_fw-la variâ—…_n ideo_fw-la solstitia_fw-la dicta_fw-la that_o circle_n which_o the_o sun_n by_o its_o daily_a motion_n describe_v be_v not_o a_o circle_n but_o rather_o a_o spiral_n line_n for_o the_o end_n of_o its_o revolution_n be_v not_o terminate_v in_o the_o point_n whence_o it_o begin_v it_o be_v distance_n from_o that_o point_n whence_o he_o digress_v unto_o that_o to_o which_o he_o be_v bring_v by_o the_o revolution_n of_o 24_o hour_n be_v great_a when_o he_o be_v near_a those_o sign_n which_o be_v â—…ighest_a to_o the_o aequinoctial_a by_o reason_n of_o the_o obliquity_n of_o his_o course_n but_o when_o he_o approach_v the_o solstitial_a point_n by_o reason_n of_o the_o almost_o directness_n of_o the_o say_a line_n there_o appear_v no_o variation_n of_o his_o course_n whence_o it_o be_v call_v the_o solstice_n tedious_a round_n the_o tardy_a day_n do_v from_o the_o season_n and_o southward_o and_o this_o tropic_n be_v call_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d i._n e._n tropicus_fw-la aestivus_fw-la from_o the_o heat_n of_o summer_n which_o we_o in_o the_o northern_a hemisphere_n enjoy_v when_o the_o sun_n be_v near_o that_o circle_n it_o be_v describe_v a_o lâ—…sser_a circle_n parallel_v to_o the_o aequator_fw-la who_o distance_n from_o thence_o iâ—…_n equal_a to_o the_o sun_n be_v great_a declination_n or_o the_o obliquity_n of_o the_o zodiac_n which_o it_o touch_v in_o the_o first_o point_n of_o cancer_n it_o be_v office_n be_v on_o one_o side_n to_o terminate_v the_o torrid_a zone_n on_o the_o other_o the_o northern_a temperate_a one_o and_o to_o make_v the_o summer_n solstice_n and_o long_a day_n northward_o and_o the_o winter_n solstice_n or_o short_a day_n southward_o midsummer_n heat_n derive_v its_o name_n and_o to_o the_o sun_n race_n set_v the_o extreme_a bind_v which_o 19_o which_o that_o be_v 30_o degree_n according_a to_o the_o usual_a and_o receive_a division_n see_v the_o like_a distribution_n as_o to_o the_o distance_n of_o these_o parallel_n circle_n in_o geâ—…inus_n conform_v to_o this_o of_o manilius_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d p._n 19_o five_o part_n of_o the_o whole_a decline_v the_o circle_n of_o the_o northern_a pole_n the_o even_o the_o this_o circle_n be_v call_v by_o the_o greek_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d by_o the_o latin_n aequidialis_fw-la aequinoctialis_fw-la aequator_fw-la and_o cingulum_n mundi_fw-la mariner_n common_o call_v it_o the_o line_n it_o be_v one_o of_o the_o great_a circle_n of_o the_o sphere_n who_o pole_n be_v the_o same_o with_o the_o pole_n of_o the_o world_n from_o either_o of_o which_o it_o be_v equal_o distant_a divide_v the_o calestial_a globe_n into_o the_o northern_a and_o southern_a hemisphere_n it_o be_v describe_v according_a to_o clavin_n in_o sacrobose_n by_o a_o imaginary_a line_n draew_v from_o the_o centre_n of_o the_o world_n and_o extend_v to_o the_o first_o point_n either_o of_o aries_n or_o libra_n and_o thence_o carry_v about_o by_o the_o diurnal_a revolution_n of_o the_o primum_fw-la mobile_n in_o this_o the_o sun_n be_v posit_v which_o happen_v twice_o every_o year_n when_o he_o enter_v the_o first_o degree_n of_o aries_n and_o libra_n it_o make_v the_o day_n and_o night_n even_o three_o which_o the_o world_n be_v middle_a region_n hold_v circle_n the_o aequator_fw-la or_o aequinoctâ—…at_a circle_n olympus_n with_o a_o mighty_a bend_n infold_v on_o either_o hand_n view_v the_o pole_n the_o way_n in_o which_o the_o sun_n make_v even_o night_n and_o day_n when_o by_o the_o spring_n and_o autumn_n point_n he_o glide_v and_o heaven_n in_o the_o midst_n by_o equal_a part_n divide_v this_o from_o the_o solstice_n receive_v solstice_n that_o be_v four_o part_n of_o 60_o according_a to_o the_o ancient_a division_n or_o 24_o of_o 360_o according_a to_o the_o late_a and_o common_o receive_v four_o degree_n retreit_n capricorn_n the_o winter_n tropic_n or_o tropic_a of_o capricorn_n the_o next_o beyond_o name_v from_o the_o southward_o the_o this_o be_v call_v the_o trospick_n of_o capricorn_n and_o be_v decribe_v a_o small_a circle_n parallel_v to_o the_o aequator_fw-la who_o distance_n from_o thence_o be_v equal_a to_o the_o sun_n be_v great_a declination_n and_o touch_v the_o ecliptic_a in_o the_o first_o point_n of_o capricorn_n on_o one_o side_n bound_v the_o torrid_a southern_a zone_n on_o the_o other_o the_o southern_a temperate_a one_o make_v the_o winter_n solstice_n or_o short_a day_n northward_o and_o the_o summer_n solstice_n and_o long_a day_n southward_o winter_n set_v the_o utmost_a bind_v to_o the_o sun_n be_v backward_a flight_n oblique_o render_v we_o his_o porrigitur_fw-la his_o for_o this_o reason_n say_v macrobius_n saturnal_a l._n 1._o c._n 21._o the_o egyptian_n represent_v the_o statue_n of_o the_o sun_n with_o his_o
other_o run_v the_o crab_n and_o twin_n divide_v by_o the_o fierce_a dog_n and_o argo_n steerage_n glide_v then_o across_o the_o former_n traversed_a sign_n be_v bear_v by_o the_o south_n pole_n they_z touch_v capricorn_n part_v the_o eagle_n from_o its_o starry_a fire_n by_o the_o lyre_n run_v and_o the_o dragon_n spire_n then_o cut_v the_o less_o bear_v tail_n and_o hinder_v foot_n and_o make_v its_o end_n with_o its_o beginning_n meet_v the_o season_n thus_o have_v fix_v within_o these_o round_n their_o everlasting_a seat_n and_o changeless_a bound_n these_o two_o be_v movable_a whereof_o one_o bend_n meridian_n the_o meridian_n do_v through_o mid-heaven_n from_o horizon_n from_o the_o meridian_n circle_n by_o the_o greek_n call_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d by_o the_o latin_n meridianus_fw-la and_o by_o astronomer_n liâ—…a_fw-la mâ—…dii_fw-la coeli_fw-la and_o mâ—…ii_fw-la dâ—…i_fw-la cusâ—…is_fw-la reâ—…alis_fw-la cardo_n râ—…ius_n and_o mâ—…aium_fw-la coeli_fw-la it_o be_v describe_v a_o great_a circle_n pass_v by_o the_o pole_n of_o the_o world_n and_o the_o zenith_n and_o nâ—…dir_n point_n and_o have_v its_o proper_a pole_n in_o the_o aequinoctial_a point_n of_o east_n and_o west_n though_o scaliger_n upon_o this_o place_n defend_v therein_o by_o the_o learned_a mr._n isaac_n vossius_fw-la not._n in_o meâ—…am_n will_v have_v the_o pole_n of_o every_o meridian_n to_o be_v the_o pole_n of_o the_o world_n it_o be_v call_v meridian_n because_o when_o the_o centre_n of_o the_o sun_n reach_v it_o it_o be_v noon_n or_o midday_n to_o all_o such_o as_o be_v direct_o under_o that_o circle_n when_o the_o sun_n be_v above_o the_o horizon_n helice_n ascend_v the_o day_n distinguish_v the_o six_o hour_n try_v and_o at_o just_a distance_n east_n and_o west_n descry_v change_a the_o sign_n by_o turn_n still_o as_o we_o run_v or_o tow'rd_v the_o rise_n or_o the_o set_a sun_n cut_v heaven_n hightith_o '_o midst_n and_o with_o earth_n place_n vary_v the_o sky_n position_n and_o time_n race_n 2._o race_n the_o reason_n thus_o render_v by_o macrobius_n in_o som._n scip._n l._n i._o c._n 15._o quia_fw-la globosuas_fw-la terrae_fw-la habitationes_fw-la omnium_fw-la aequales_fw-la sibi_fw-la esse_fw-la non_fw-la patitur_fw-la non_fw-la eadem_fw-la paâ—…s_fw-la coeli_fw-la omnium_fw-la verticem_fw-la despicit_fw-la et_fw-la ideo_fw-la unus_fw-la omnibus_fw-la meridianus_fw-la esse_fw-la non_fw-la poterit_fw-la sed_fw-la singulis_fw-la gentibus_fw-la super_fw-la verticem_fw-la suum_fw-la prâ—…prius_fw-la meridianus_fw-la effâ—…citur_fw-la and_o therefore_o the_o meridian_n be_v distinguish_v into_o the_o general_n and_o particular_a the_o general_n be_v one_o and_o always_o the_o same_o the_o particular_a on_o the_o contrary_a mutable_a and_o diverse_a according_a to_o the_o change_n and_o diversity_n of_o place_n either_o eastward_o or_o westward_o and_o may_v be_v imagine_v as_o numerous_a as_o there_o be_v vertical_a point_n vide_fw-la bartschium_fw-la in_o planisphaer_n stellat_fw-la c._n 2._o all_o have_v not_o one_o meridian_n the_o hour_n fly_v round_o when_o first_o we_o see_v sol_n rise_v from_o the_o eastern_a sound_n it_o be_v their_o six_o hour_n by_o his_o meridian_n his_o stâ—…ler_a in_o his_o commentary_n upon_o proclus_n conceive_v that_o manilius_n here_o by_o the_o golden_a orb_n mean_v the_o meridian_n circle_n and_o imagine_v it_o to_o deserve_v that_o title_n because_o the_o island_n taprobana_n be_v as_o he_o say_v in_o meridiem_fw-la exposita_fw-la be_v famous_a for_o its_o plenty_n of_o gold_n and_o silver_n a_o ridiculous_a interpretation_n for_o aureus_fw-la orbis_n be_v not_o to_o be_v understand_v of_o the_o meridian_n circle_n but_o of_o the_o globe_n of_o the_o sun_n come_v to_o and_o press_v upon_o the_o meridian_n gold_n orb_n then_o press_v such_o they_o when_o he_o to_o we_o set_v in_o the_o west_n these_o two_o reader_n two_o this_o place_n have_v exercise_v and_o foil_v the_o wit_n of_o the_o great_a critic_n the_o verse_n in_o the_o latin_a be_v this_o nos_fw-la primam_fw-la &_o summam_fw-la sextam_fw-la numeramus_fw-la utramque_fw-la sâ—…aliger_n interpret_n primam_fw-la &_o summam_fw-la for_o one_o and_o the_o same_o hour_n quia_fw-la summâ_fw-la horâ_fw-la noctis_fw-la i._n e._n dvodecima_fw-la say_v he_o confecta_fw-la incipit_fw-la 〈◊〉_d as_o the_o athenian_n use_v to_o term_v the_o last_o day_n of_o the_o month_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d the_o old_a and_o the_o new_a but_o this_o be_v far_o from_o the_o 〈◊〉_d of_o manilius_n gassendus_fw-la endeavour_v to_o mend_v the_o matter_n instead_o of_o primam_fw-la &_o summam_fw-la conceive_v it_o ought_v to_o be_v read_v imâ—…m_n &_o summam_fw-la ab_fw-la 〈◊〉_d inter_fw-la imam_n &_o summam_fw-la antithesin_n say_v he_o by_o imâ—…m_n understand_v the_o hour_n of_o midnight_n by_o summam_fw-la that_o of_o midday_n but_o this_o be_v yet_o wide_a from_o the_o mark_n salmasius_n undertake_v to_o put_v a_o better_a sense_n upon_o the_o word_n than_o the_o former_a be_v himself_o gravâ—…led_v for_o thus_o he_o expound_v this_o and_o the_o 3_o forego_v verse_n cum_fw-la sol_fw-la oritur_fw-la romanis_n etc._n etc._n when_o the_o sun_n say_v he_o rise_v at_o rome_n it_o be_v their_o first_o hour_n of_o the_o day_n but_o to_o the_o indian_n their_o six_o or_o noon_n and_o again_o when_o it_o be_v noon_n to_o the_o roman_n it_o be_v sun_n set_v to_o the_o indian_n or_o their_o last_o hour_n of_o the_o day_n so_o either_o of_o these_o hour_n viz._n the_o first_o and_o the_o 〈◊〉_d say_v he_o by_o reason_n of_o the_o diversity_n of_o meridian_n be_v reckon_v for_o the_o six_o hour_n which_o interpretation_n reach_v not_o the_o meaning_n of_o 〈◊〉_d be_v just_o reprove_v by_o peâ—…avius_n in_o vranolâ—…g_v l._n 7._o who_o thus_o expound_v both_o this_o and_o the_o three_o forego_v verâ—…s_n 〈◊〉_d est_fw-la say_v he_o manilium_fw-la tractum_fw-la illum_fw-la terrarum_fw-la &_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d ubi_fw-la tum_fw-la degebat_fw-la in_fw-la medio_fw-la ponere_fw-la &_o quae_fw-la utrinque_fw-la distant_a 〈◊〉_d 〈◊〉_d 〈◊〉_d longituâ—…_n 90_o cum_fw-la habitatione_n suâ_fw-la confer_v qui_fw-la ad_fw-la ortum_fw-la siti_fw-la sunt_fw-la eoos_n appellare_fw-la qui_fw-la ad_fw-la ocâ—…asum_fw-la hesperiâ—…s_fw-la etc._n etc._n hence_o he_o infer_v when_o the_o sun_n seem_v to_o rise_v at_o rome_n it_o be_v in_o the_o meridian_n of_o those_o that_o be_v posit_v 90_o degree_n eastward_o from_o thence_o and_o again_o when_o the_o sun_n at_o rome_n seem_v to_o set_v it_o make_v the_o like_o six_o hour_n or_o noon_n to_o those_o so_o posit_v westward_o either_o of_o which_o six_o 〈◊〉_d â—…r_n nâ—…ontides_n to_o those_o eastward_o or_o westward_o they_o at_o rome_n count_v not_o their_o six_o hour_n but_o name_v the_o one_o the_o first_o the_o 〈◊〉_d the_o last_o hour_n of_o their_o day_n this_o exposition_n of_o petavius_n whereunto_o our_o interpretation_n be_v consonant_a speak_v the_o 〈◊〉_d of_o the_o word_n which_o i_o hold_v myself_o oblige_v thus_o to_o clear_v lest_o the_o authority_n of_o the_o other_o great_a person_n may_v be_v object_v against_o we_o or_o impoâ—…e_v upon_o the_o reader_n six_o hour_n we_o count_v our_o first_o and_o last_o when_o from_o the_o extreme_n of_o light_n 125._o light_n by_o reason_n of_o the_o obliquity_n and_o depression_n of_o the_o sun_n light_n at_o morning_n and_o evening_n the_o air_n likewise_o be_v then_o cool_v in_o regard_n of_o the_o chill_a brieze_n usual_o stir_v hence_o the_o evening_n in_o genesis_n 3._o ver_fw-la 8._o be_v call_v ruâ—…h_n i._n e._n spiritus_fw-la seu_fw-la ventus_fw-la diei_fw-la and_o what_o by_o the_o 〈◊〉_d be_v there_o render_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d or_o the_o evening_n be_v by_o other_o render_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d and_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d i._n e._n adspiritum_fw-la seuventum_fw-la diei_fw-la vide_fw-la salmas_n in_o epictet_n et_fw-fr simplic_n p._n 125._o chill_a beam_n be_v cast_v the_o horizon_n the_o this_o circle_n be_v call_v horizon_n from_o the_o greek_a 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d come_v from_o the_o verb_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d which_o signify_v to_o bound_v or_o terminate_v for_o which_o reason_n it_o be_v by_o the_o latin_n call_v finiens_fw-la and_o finiâ—…or_fw-la because_o it_o bound_v the_o sight_n it_o be_v divide_v into_o the_o rational_a which_o be_v likewise_o call_v the_o natural_a and_o astronomical_a and_o the_o sensible_a which_o be_v likewise_o call_v the_o physical_a apparent_a and_o artificial_a the_o rational_a horizon_n be_v describe_v a_o great_a circle_n of_o the_o sphere_n who_o pole_n be_v the_o zenith_n and_o nadir_n point_n though_o scaliger_n with_o the_o approbation_n of_o mr._n isaac_n vossius_fw-la make_v the_o pole_n of_o every_o horizon_n to_o be_v as_o well_o the_o aequinoctial_a point_n of_o east_n and_o west_n divide_v the_o globe_n equal_o into_o the_o upper_a and_o low_a hemisphere_n the_o sensible_a horizon_n be_v describe_v a_o small_a circle_n parallel_n to_o the_o rational_a divide_v the_o sphere_n into_o two_o unequal_a segment_n of_o
ever_o write_v and_o that_o equivalent_a to_o what_o of_o his_o might_n have_v be_v forty_o or_o fifty_o year_n since_o know_v be_v not_o ready_o to_o be_v expect_v for_o want_v of_o the_o like_a encouragement_n we_o have_v lose_v that_o most_o excellent_a piece_n of_o the_o incomparable_a vieta_n his_o harmonicon_n coeleste_fw-la as_o likewise_o the_o remain_n of_o alexander_n anderson_n the_o scot_n as_o his_o conic_n stereometria_fw-la solidorum_fw-la &_o triangul_n sphaery_a the_o want_n whereof_o guldinus_n much_o bewail_v and_o excite_v the_o ingenious_a to_o inquire_v after_o they_o on_o the_o same_o account_n the_o remain_v of_o griembergerus_n as_o his_o conic_n dial_a and_o projection_n of_o the_o sphere_n have_v not_o come_v to_o light_v and_o for_o the_o very_a same_o reason_n the_o second_o tome_n of_o galilaeus_fw-la in_o english_a do_v and_o be_v like_a to_o remain_v unprint_v with_o the_o like_a remora_n in_o france_n have_v meet_v the_o work_n of_o the_o excellent_a mounseur_fw-fr fermat_n viz._n euclidis_fw-la porismata_fw-la restituta_fw-la his_o treatise_n de_fw-fr locis_fw-la planis_fw-la solidis_fw-la linearibus_fw-la &_o ad_fw-la superficiem_fw-la and_o his_o treatise_n de_fw-fr contactibus_fw-la sphaericis_fw-la as_o also_o the_o remain_n of_o the_o much_o know_a lalovera_fw-fr as_o his_o geometrical_a dictionary_n sive_fw-la explieatio_fw-la vocum_fw-la geometricarum_fw-la four_o book_n problematum_fw-la illustrium_fw-la four_o book_n problematum_fw-la physico-mathematicorum_a and_o a_o collection_n of_o letter_n between_o he_o and_o the_o learned_a contain_v the_o solution_n of_o many_o problem_n of_o great_a curiosity_n and_o difficulty_n which_o see_v they_o be_v not_o like_a to_o get_v print_v there_o they_o have_v write_v over_o to_o know_v if_o they_o will_v be_v undertake_v here_o promise_v to_o send_v the_o ms._n copies_n and_o have_v hint_v thus_o much_o at_o the_o instance_n of_o this_o ingenious_a and_o industrious_a person_n to_o the_o curious_a and_o generous_o learn_v i_o come_v now_o again_o further_o to_o acquaint_v the_o reader_n that_o we_o have_v more_o particular_o obtain_v from_o he_o a_o account_n of_o two_o of_o his_o own_o design_n relative_a to_o the_o sphere_n and_o astronomy_n the_o one_o of_o geometrical_a dial_n whereby_o reflex_n dyall_v be_v render_v geometrical_a and_o reduce_v to_o a_o method_n of_o calculation_n so_o that_o if_o a_o glass_n be_v place_v at_o random_n and_o â—…ines_v draw_v on_o the_o plain_a by_o chance_n by_o either_o method_n point_n may_v be_v find_v in_o the_o say_a line_n which_o join_v shall_v be_v the_o hour_n line_n and_o the_o like_a when_o the_o glâ—…ss_n be_v so_o place_v that_o the_o hour_n line_n may_v be_v draw_v in_o that_o part_n of_o the_o room_n which_o be_v most_o capable_a of_o they_o and_o as_o a_o corollary_n of_o this_o doctrine_n a_o dial_n for_o any_o latitude_n may_v be_v sudden_o divide_v from_o a_o line_n of_o tangent_n parallel_v to_o any_o line_n propose_v and_o that_o without_o any_o calculation_n for_o the_o horary_a division_n the_o other_o a_o treatise_n of_o projection_n of_o the_o sphere_n and_o concern_v spherical_a trigonometry_n in_o which_o many_o extraordinary_a case_n will_v be_v solve_v those_o proportion_n mention_v before_o in_o the_o narrative_a concern_v mr._n william_n oughtre_v several_a way_n more_o easy_o demonstrate_v and_o all_o spherical_a triangle_n measure_v by_o a_o new_a method_n not_o by_o he_o former_o insist_v on_o after_o the_o manner_n of_o plain_a triangle_n all_o which_o perchance_o may_v be_v handle_v in_o some_o little_a tractate_v concern_v the_o use_n of_o print_n of_o several_a other_o instrument_n design_v to_o be_v cut_v past_v and_o varnish_v as_o before_o mention_v viz._n the_o analemma_n the_o double_a horizontal_n dial_n the_o logarithmical_a serpentine_a line_n print_v of_o logarithmical_a ruler_n whereof_o if_o there_o be_v three_o they_o may_v be_v so_o place_v as_o to_o lie_v still_o all_o day_n and_o as_o fast_o as_o the_o hight_n of_o the_o sun_n be_v give_v shall_v find_v either_o the_o hour_n or_o azimuth_n universal_o by_o bare_a inspection_n the_o hasty_a collection_n and_o uncorrect_a transcribe_v of_o the_o forego_n catalogue_n have_v occasion_v the_o omission_n of_o some_o considerable_a person_n and_o author_n which_o shall_v therein_o have_v be_v insert_v in_o their_o proper_a time_n and_o place_n the_o reader_n therefore_o be_v desire_v to_o take_v notice_n of_o they_o as_o we_o have_v here_o set_v epocham_n they_o down_o according_a to_o order_n of_o time_n in_o the_o follow_a supplement_n fohius_n the_o first_o emperor_n of_o china_n be_v great_o addict_v to_o the_o study_n of_o 2952._o astronomy_n and_o first_o of_o all_o the_o chinese_n reduce_v the_o motion_n of_o the_o celestial_a body_n into_o table_n as_o martinius_n in_o his_o history_n of_o china_n affirm_v tanaus_n chief_a minister_n of_o state_n to_o hoantgius_fw-la the_o three_o emperor_n of_o china_n 2697._o contemporary_a with_o methusalem_n as_o martinius_n in_o his_o history_n of_o china_n report_v compose_v a_o solar_a cycle_n of_o sixty_o year_n which_o the_o chineses_n use_v at_o this_o day_n yumchinius_n another_o chief_a minister_n of_o state_n to_o the_o former_a emperor_n 2513._o about_o the_o 28_o the_o year_n of_o his_o reign_n first_o of_o all_o observe_v the_o pole_n and_o the_o star_n about_o it_o and_o compose_v a_o sphere_n or_o globe_n represent_v that_o of_o the_o heaven_n chuenhious_a the_o five_o emperor_n of_o the_o chineses_n be_v the_o first_o who_o 2513._o publish_v a_o calendar_n for_o the_o common_a use_n of_o his_o subject_n he_o write_v likewise_o ephemerides_n of_o the_o five_o planet_n which_o he_o see_v at_o one_o time_n all_o in_o conjunction_n upon_o the_o same_o day_n that_o he_o observe_v a_o conjunction_n of_o the_o sun_n and_o moon_n which_o day_n he_o order_v to_o be_v observe_v as_o the_o first_o day_n of_o 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with_o jon_n or_o javan_n or_o jaon_n son_n of_o japhet_n be_v report_v to_o have_v be_v extreme_o addict_v to_o astronomical_a observation_n and_o to_o have_v correct_v the_o chinese_n calendar_n to_o have_v cause_v divers_a instrument_n to_o be_v make_v for_o observe_v the_o motion_n of_o the_o celestial_a body_n and_o to_o have_v exact_o note_v the_o winter_n solstice_n which_o the_o chinese_n writer_n affirm_v to_o have_v then_o be_v in_o the_o first_o degree_n of_o the_o sign_n or_o constellation_n hiu_n which_o at_o present_a be_v about_o the_o first_o degree_n of_o aquarius_n v._o martin_n histor._n sinic_n p._n 25._o xunus_n the_o eight_o emperor_n of_o china_n cause_v to_o be_v make_v out_o of_o the_o gold_n and_o 2258._o jewel_n of_o his_o imperial_a treasury_n a_o sphere_n of_o admirable_a workmanship_n show_v the_o motion_n of_o the_o seven_o planet_n each_o of_o which_o be_v represent_v by_o a_o precious_a stone_n resemble_v their_o respective_a nature_n in_o the_o midst_n 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to_o take_v the_o meridian_n altitude_n of_o the_o sun_n as_o likewise_o the_o elevation_n of_o the_o pole_n
gregoriani_n &_o ejus_fw-la facili_fw-la usu_n print_v at_o bologna_n 1633._o david_n goubard_n put_v forth_o perpetual_a table_n of_o the_o celestial_a motion_n 1634._o in_o french_a print_v at_o middleburgh_n 1634._o natalis_n duret_fw-la a_o frenchman_n publish_v new_a ephemerides_n of_o the_o 1637._o celestial_a motion_n to_o which_o he_o give_v the_o title_n of_o tabulae_fw-la richelianae_fw-la print_v at_o paris_n 1637._o ericus_n olaus_n tormius_fw-la public_a professor_n of_o mathematics_n 1648._o at_o copenhagen_n publish_v a_o small_a treatise_n with_o this_o specious_a title_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d sive_fw-la disquisitio_n mechanica_fw-la wherein_o he_o dispute_v of_o and_o assert_n the_o necessity_n and_o possibility_n of_o instrument_n their_o number_n and_o amplitude_n requisite_a in_o astronomical_a observation_n print_v hafniae_n 1643._o in_o 4_o o_o jacob_n ravensperg_n professor_n of_o mathematics_n in_o the_o university_n 1643._o of_o utretch_v publish_v 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1645._o mediis_fw-la quibusdam_fw-la ad_fw-la astronomiam_fw-la restituendam_fw-la necessariis_fw-la print_v at_o copenhagen_n 1642._o in_o 4_o o._n he_o publish_v likewise_o a_o answer_n to_o io._n baptista_n morinus_n his_o defence_n of_o his_o astronomia_fw-la restituta_fw-la print_v at_o the_o same_o place_n 1645._o in_o 4_o o_o joannes_n bechett_n professor_n of_o mathematics_n in_o the_o university_n of_o christum_fw-la paris_n to_o his_o theory_n of_o the_o planet_n before_o mention_v have_v add_v table_n of_o the_o mean_a 1650._o motion_n and_o a_o parecbasis_n explain_v the_o doctrine_n of_o direction_n according_a to_o the_o rational_a way_n as_o also_o a_o appendix_n for_o find_v out_o and_o compute_v the_o lunary_n period_n johannes_n jacobus_fw-la hainlinius_fw-la superintendant_n general_n 1653._o of_o the_o diocese_n of_o aldeberg_n in_o saxony_n put_v forth_o a_o mathematical_a synopsis_fw-la wherein_o the_o chief_a part_n of_o the_o whole_a mathematics_n both_o abstract_n and_o concrete_a that_o be_v to_o say_v arithmetic_n geometry_n astronomy_n geography_n optic_n etc._n etc._n be_v methodical_o propose_v by_o definition_n axiom_n postulate_v theorem_n problem_n etc._n etc._n very_o useful_a not_o only_o for_o young_a beginner_n but_o for_o those_o also_o who_o have_v already_o make_v some_o progress_n in_o those_o science_n in_o the_o astronomical_a part_n he_o treat_v particular_o and_o distinct_o de_fw-fr astronomia_fw-la sphaerica_fw-la theorica_fw-la &_o chronologica_fw-la add_v withal_o the_o praxis_fw-la and_o use_v of_o those_o part_n problematical_o lay_v down_o and_o brief_o and_o clear_o explain_v print_v at_o tubinge_v 1653._o in_o 8_o o_o jacobus_fw-la du_n bois_n publish_v by_o way_n of_o dialogue_n a_o theological-astronomical_a 1653._o treatise_n print_v at_o leiden_fw-mi 1653._o in_o 4_o o._n wherein_o he_o oppose_v copernicus_n his_o hypothesis_n and_o des_n cartes_n his_o philosophy_n against_o which_o a_o anonymus_fw-la 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put_v forth_o enchiridion_n progymnasmatum_fw-la mathematicorum_fw-la contain_v first_o apospasmation_n primi_fw-la elementi_fw-la euclidaei_fw-la gr._n lat._n second_o praecepta_fw-la sphaerica_fw-la three_o globi_fw-la coelestibus_fw-la &_o terrestris_fw-la explicatio_fw-la &_o usus_fw-la four_o geographiae_fw-la rudimonta_fw-la five_o computi_fw-la ecclesiastici_fw-la epitome_n print_v at_o copenhagen_n 1656._o in_o 12_o o_o petrus_n borellus_n counsellor_n and_o physician_n to_o the_o king_n of_o france_n 1656._o put_v forth_o a_o treatise_n de_fw-fr vero_fw-la telescopii_fw-la inventore_n wherein_o he_o treat_v of_o the_o history_n of_o telescope_n and_o other_o optic_a glass_n their_o matter_n fashion_n work_v several_a kind_n or_o species_n and_o uses_n as_o also_o of_o several_a discovery_n make_v by_o the_o say_a author_n as_o well_o with_o telescope_n as_o microscope_n of_o the_o late_a of_o which_o he_o give_v a_o century_n of_o observation_n and_o treat_v of_o what_o may_v yet_o be_v further_o find_v out_o by_o the_o mean_n of_o telescope_n where_o occasional_o he_o speak_v of_o the_o find_v out_o of_o longitude_n print_v at_o the_o hague_n 1655._o and_o 1656._o in_o 4_o o_o eustachio_n divini_fw-la a_o excellent_a worker_n of_o telescopical_a glass_n 1660._o at_o rome_n put_v forth_o something_o against_o mounseur_fw-fr hugens_fw-la he_o systema_fw-la saturnium_n print_v at_o the_o hague_n in_o holland_n in_o 4_o o_o the_o reverend_a and_o learned_a mr._n william_n beverege_n late_o of_o st._n 1669._o john_n college_n in_o cambridge_n be_v to_o be_v add_v to_o the_o number_n of_o those_o who_o mention_n give_v honour_n to_o this_o catalogue_n for_o his_o excellent_a piece_n of_o chronological_a institution_n in_o two_o book_n in_o the_o first_o whereof_o he_o treat_v of_o the_o nature_n of_o chronology_n and_o its_o christum_fw-la part_n of_o time_n and_o its_o various_a distribution_n into_o scruple_n hour_n day_n week_n month_n year_n in_o the_o 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place_n of_o the_o star_n as_o the_o longitude_n of_o a_o place_n on_o the_o earth_n be_v reckon_v in_o the_o equator_fw-la from_o the_o first_o western_a meridian_n unto_o the_o meridian_n pass_v by_o the_o place_n propose_v xii_o from_o the_o ecliptic_a to_o the_o pole_n be_v reckon_v the_o latitude_n of_o the_o star_n which_o latitude_n be_v a_o arch_n of_o a_o great_a circle_n pass_v by_o the_o pole_n of_o the_o ecliptic_a and_o centre_n of_o the_o star_n intercept_v between_o the_o ecliptic_a and_o the_o star_n those_o arch_n be_v call_v the_o circle_n of_o latitude_n the_o point_n between_o the_o equator_fw-la and_o the_o ecliptic_a in_o respect_n of_o the_o equator_fw-la be_v northern_a in_o respect_n of_o the_o ecliptic_a southern_a or_o contrariwise_o xiii_o the_o ecliptic_a contain_v the_o place_n of_o all_o the_o star_n for_o a_o star_n be_v say_v to_o be_v in_o that_o degree_n of_o the_o ecliptic_a through_o which_o the_o circle_n of_o latitude_n of_o the_o say_a star_n pass_v so_o the_o starâ—…_n be_v in_o the_o solstitial_a colour_n be_v say_v to_o be_v in_o the_o first_o degree_n of_o cancer_n or_o capricorn_n by_o which_o reason_n all_o the_o star_n in_o the_o firmament_n be_v refer_v to_o some_o one_o of_o the_o twelve_o sign_n fourteen_o the_o colour_n pass_v by_o the_o pole_n of_o the_o world_n and_o the_o four_o cardinal_n point_n of_o the_o zodiac_n colour_n intersect_v each_o other_o at_o spherical_a right_a angle_n in_o the_o pole_n of_o the_o world_n they_o be_v so_o call_v because_o in_o a_o oblique_a sphere_n they_o seem_v mutilate_v and_o defective_a since_o one_o part_n of_o they_o be_v always_o depress_v beneath_o whilst_o the_o other_o be_v elevate_v above_o the_o horizon_n one_o of_o thâ—…se_n be_v call_v the_o equinoctial_a colour_n which_o pass_v by_o the_o point_n of_o the_o intersection_n of_o the_o equator_fw-la and_o ecliptic_a constitute_v the_o equinoctial_a point_n of_o aries_n and_o libra_n the_o other_o be_v the_o colurâ—…_n of_o the_o solstice_n divide_v the_o equator_fw-la at_o right_a angle_n in_o the_o point_n wherein_o the_o sun_n commence_v winter_n and_o summer_n that_o be_v to_o say_v in_o the_o first_o degree_n of_o cancer_n and_o capricorn_n measure_v the_o sun_n be_v great_a declination_n have_v in_o it_o the_o pole_n of_o the_o zodiac_n and_o show_v the_o distance_n of_o thâ—…se_a pole_n from_o the_o pole_n of_o the_o world_n there_o may_v be_v likewise_o infinite_a colour_n suppose_v for_o the_o better_a demonstrate_v the_o particular_a declination_n of_o the_o star_n from_o the_o equator_fw-la xv._n the_o meridian_n in_o any_o position_n of_o sphere_n whatsoever_o make_v midday_n and_o midnight_n and_o have_v meridian_n in_o it_o the_o zenith_n and_o nadir_n point_n direct_o opposite_a to_o one_o another_o the_o first_o meridian_n be_v vulgar_o place_v in_o the_o fortunate_a island_n or_o the_o canary_n by_o other_o in_o the_o island_n call_v the_o azore_n there_o be_v reckon_v 36._o meridian_n or_o rather_o 18._o since_o the_o same_o meridian_n of_o one_o hemisphere_n may_v serve_v the_o other_o hemisphere_n likewise_o each_o be_v distant_a ten_o degree_n from_o one_o another_o but_o geometrical_o speak_v there_o be_v as_o many_o meridian_n as_o there_o be_v vertical_a point_n as_o there_o be_v on_o earth_n so_o many_o orison_n as_o there_o be_v divers_a point_n upon_o the_o terrestrial_a globe_n they_o who_o assign_v a_o meridian_n to_o every_o degree_n make_v of_o they_o 180._o xvi_o the_o meridian_n to_o those_o that_o travel_v direct_o north_n and_o south_n be_v still_o the_o same_o as_o to_o latitude_n it_o show_v likewise_o the_o great_a altitude_n of_o the_o sun_n and_o star_n their_o distance_n from_o the_o equator_fw-la the_o elevation_n of_o the_o pole_n and_o measure_v the_o latitude_n of_o all_o place_n upon_o earth_n of_o which_o in_o the_o two_o follow_a proposition_n xvii_o the_o latitude_n of_o a_o place_n be_v number_v in_o the_o meridian_n from_o the_o equator_fw-la towards_o either_o of_o the_o pole_n and_o show_v how_o much_o every_o point_n be_v distant_a from_o the_o equator_fw-la one_o pole_n be_v elevate_v the_o other_o depress_v the_o latitude_n of_o any_o place_n be_v the_o arch_n of_o a_o meridian_n intercept_v between_o the_o zenith_n of_o the_o say_a place_n and_o the_o equator_fw-la equal_a to_o the_o elevation_n of_o the_o pole_n above_o the_o horizon_n which_o elevation_n be_v a_o arch_n of_o a_o meridian_n draw_v from_o the_o horizon_n to_o the_o pole_n of_o the_o world_n xviii_o as_o the_o latitude_n of_o the_o earth_n be_v number_v in_o the_o prime_a meridian_n or_o any_o other_o more_o oriental_a so_o the_o declination_n of_o the_o star_n may_v be_v number_v in_o those_o meridian_n which_o be_v therefore_o call_v the_o circle_n of_o declination_n because_o they_o show_v how_o far_o the_o fix_a star_n or_o planet_n be_v distant_a from_o the_o equator_fw-la or_o decline_v from_o it_o to_o either_o of_o the_o pole_n they_o be_v likewise_o call_v vertical_a inasmuch_o as_o pass_v by_o the_o vertex_fw-la of_o any_o place_n and_o descend_v perpendicular_o by_o each_o point_n of_o the_o horizon_n they_o measure_v the_o altitude_n of_o the_o star_n above_o or_o their_o depression_n beneath_o the_o same_o and_o in_o arabic_a they_o be_v call_v azimuth_n because_o they_o show_v in_o what_o part_n of_o the_o world_n any_o star_n rise_v or_o set_v the_o beginning_n likewise_o of_o the_o astronomical_a day_n be_v compute_v from_o the_o meridian_n circle_n xix_o the_o astronomical_a or_o true_a horizon_n divide_v the_o sphere_n of_o the_o world_n into_o two_o equal_a part_n that_o horizon_n be_v to_o say_v the_o upper_a or_o the_o visible_a and_o the_o low_a or_o invisible_a hemisphere_n who_o centre_n be_v the_o same_o with_o the_o centre_n of_o the_o world_n and_o its_o pole_n the_o zenith_n and_o nadir_n point_v the_o physical_a or_o sensible_a and_o visible_a horizon_n equidistant_a from_o the_o astronomical_a be_v that_o part_n of_o the_o earth_n as_o far_o as_o can_v be_v discern_v by_o sight_n who_o semidiameter_n in_o a_o even_a plane_n the_o eye_n be_v place_v at_o six_o foot_n height_n above_o the_o level_n be_v about_o a_o league_n but_o if_o the_o eye_n be_v elevate_v a_o league_n high_a than_o the_o semidiameter_n of_o the_o sensible_a horizon_n will_v be_v 51._o league_n xx._n the_o horizon_n concur_v to_o the_o state_v of_o all_o the_o forename_a sphere_n that_o be_v to_o say_v either_o right_o oblique_a or_o parallel_v whence_o it_o be_v denominate_v and_o distinguish_v into_o right_n oblique_a and_o parallel_n it_o determine_v the_o rise_n and_o set_v of_o the_o star_n the_o ortive_a and_o occasive_a amplitude_n begin_v from_o the_o eastern_a and_o western_a equinoctial_a point_n show_v the_o quantity_n of_o day_n and_o night_n and_o the_o four_o cardinal_n point_n east_n west_n north_n and_o south_n as_o likewise_o the_o quantity_n of_o the_o two_o circle_n parallel_v to_o the_o equator_fw-la and_o tropic_n describe_v from_o the_o pole_n of_o the_o world_n touch_v the_o horizon_n in_o a_o point_n of_o which_o that_o draw_v from_o the_o pole_n to_o we_o conspicuous_a be_v term_v the_o great_a of_o the_o all-wayes-apparent_a the_o other_o opposite_a to_o it_o the_o great_a of_o the_o not-apparent_a that_o be_v to_o say_v the_o arctic_a and_o antarctic_a circle_n xxi_o the_o circle_n parallel_v to_o the_o horizon_n which_o show_v the_o altitude_n and_o depression_n of_o the_o star_n be_v in_o the_o astrolabe_n call_v almicantarah_n or_o circle_n of_o progression_n among_o which_o be_v number_v the_o crepuscular_a circle_n or_o circle_n of_o twilight_n which_o be_v parallel_n to_o the_o horizon_n and_o depress_v beneath_o it_o eighteen_o degree_n thus_o much_o of_o the_o great_a circle_n the_o lesser_a follow_v xxii_o the_o tropic_n be_v lesser_a circle_n parallel_v to_o the_o equator_fw-la from_o whence_o they_o be_v in_o this_o present_a tropic_n age_n distant_a 23._o degree_n and_o ½_o which_o distance_n according_a to_o the_o diversity_n of_o time_n be_v diverse_o compute_v the_o variation_n hitherto_o be_v reckon_v 24′_n these_o two_o tropic_n show_v the_o sun_n be_v or_o the_o ecliptick_n great_a declination_n from_o the_o equator_fw-la the_o tropic_a of_o cancer_n it_o be_v northern_a the_o tropic_a of_o capricorn_n its_o southern_a the_o former_a show_v the_o sun_n great_a the_o latter_a its_o least_o meridional_a altitude_n this_o the_o long_a day_n and_o short_a night_n in_o the_o summer_n solstice_n the_o other_o the_o long_a night_n and_o short_a day_n in_o the_o winter_n solstice_n which_o say_v quantity_n of_o day_n and_o night_n be_v not_o show_v by_o the_o tropic_n in_o a_o right_n or_o a_o oblique_a sphere_n beyond_o 66°_n and_o ½_o of_o the_o pole_n elevation_n for_o in_o the_o first_o the_o diurnal_a and_o nocturnal_a arch_n be_v always_o equal_a in_o the_o latter_a the_o
say_a quantity_n be_v show_v by_o the_o ecliptic_a and_o in_o the_o altitude_n of_o 66°_n and_o ½_o one_o of_o the_o tropic_n be_v raise_v whole_o above_o the_o horizon_n the_o other_o be_v whole_o depress_v beneath_o it_o xxiii_o the_o polar_a circle_n be_v make_v by_o the_o diurnal_a conversion_n of_o the_o pole_n of_o the_o ecliptic_a about_o those_o circle_n of_o the_o equator_fw-la from_o which_o they_o be_v distant_a 23°_n and_o ½_o be_v the_o same_o with_o the_o distance_n of_o the_o solsticial_a point_n or_o the_o tropic_n from_o the_o equator_fw-la from_o which_o the_o five_o zone_n may_v easy_o be_v apprehend_v as_o be_v contain_v within_o four_o circle_n parallel_n to_o the_o equator_fw-la that_o which_o be_v call_v the_o zone_n torrid_a zone_n be_v between_o the_o two_o tropic_n the_o two_o temperate_a zone_n be_v between_o the_o tropic_n and_o the_o polar_a circle_n the_o two_o frigid_a be_v comprehend_v within_o the_o two_o polar_a circle_n xxiv_o the_o parallel_n be_v circle_n on_o either_o side_n the_o equator_fw-la parallel_n thereto_o be_v seat_v at_o such_o a_o parallel_n distance_n from_o one_o another_o that_o the_o great_a day_n of_o one_o differ_v from_o the_o great_a day_n of_o another_o parallel_n by_o the_o quantity_n of_o one_o quarter_n of_o a_o hour_n they_o be_v reckon_v on_o either_o side_n of_o the_o equator_fw-la to_o the_o polar_a circle_n or_o the_o 66_o the_o degree_n of_o the_o pole_n elevation_n 24._o in_o all_o 48._o xxv_o the_o climate_n be_v space_n parallel_v to_o the_o equator_fw-la contain_v three_o parallel_n the_o middlemost_a divide_v climate_n the_o same_o into_o two_o part_n the_o latitude_n of_o each_o climate_n from_o its_o southren_n to_o its_o northern_a limit_v be_v of_o that_o extent_n that_o the_o long_a day_n increase_v half_o a_o hour_n the_o climate_n be_v denominate_v from_o the_o chief_a city_n and_o place_n by_o or_o through_o which_o they_o pass_v as_o the_o first_o by_o meroe_n the_o second_o by_o alexandria_n the_o three_o by_o rhodus_n and_o babylon_n the_o four_o by_o rome_n corsica_n and_o the_o hellespont_n the_o five_o by_o venice_n the_o six_o by_o podelâ—…a_n the_o seven_o by_o wâ—…teberg_n the_o eight_o by_o rostoch_n the_o nine_o by_o ireland_n the_o ten_o by_o bohuse_v in_o norway_n the_o eleven_o by_o gothland_n the_o twelve_o by_o wyburgh_n in_o finland_n the_o thirteen_o by_o arotia_n in_o sweden_n the_o fouâ—…eenth_n by_o the_o mouth_n or_o outlet_n of_o the_o river_n darecal_o in_o sweden_n and_o the_o rest_n by_o other_o place_n of_o norway_n sweden_n alba_n russia_n and_o the_o adjacent_a island_n and_o these_o be_v the_o northern_a climate_n the_o southren_n be_v distinguish_v by_o the_o title_n of_o anti_n as_o anti-meroes_a anti-alexandrias_a etc._n etc._n in_o regard_n of_o their_o opposite_a position_n to_o the_o northern_a climate_n but_o for_o the_o better_a understanding_n of_o the_o climate_n and_o what_o appertain_v to_o they_o see_v the_o follow_a table_n divide_v into_o five_o column_n the_o first_o show_v the_o number_n of_o the_o parallel_n the_o second_o of_o the_o climate_n the_o three_o the_o long_a day_n in_o every_o parallel_n the_o four_o the_o elevation_n of_o the_o pole_n or_o latitude_n of_o the_o respective_a region_n the_o five_o the_o amplitude_n of_o the_o climate_n parall_a climate_n long_a day_n in_o each_o par._n altitude_n of_o the_o pole_n amplitude_n of_o each_o cli._n hor._n min._n degr._fw-la min._n degr._fw-la min._n 1_o i_o 12_o 15_o 4_o 18_o 0_o 0_o 2_o  _fw-fr 12_o 30_o 8_o 34_o  _fw-fr  _fw-fr 3_o two_o 12_o 45_o 12_o 43_o 7_o 50_o 4_o  _fw-fr 13_o 00_o 16_o 43_o  _fw-fr  _fw-fr 5_o iii_o 13_o 15_o 20_o 33_o 7_o 3_o 6_o  _fw-fr 13_o 30_o 23_o 11_o  _fw-fr  _fw-fr 7_o iv_o 13_o 45_o 27_o 36_o 6_o 9_o 8_o  _fw-fr 14_o 0_o 30_o 47_o  _fw-fr  _fw-fr 9_o five_o 14_o 15_o 33_o 45_o 5_o 17_o 10_o  _fw-fr 14_o 30_o 36_o 30_o  _fw-fr  _fw-fr 11_o vi_o 14_o 45_o 39_o 20_o 4_o 30_o 12_o  _fw-fr 15_o 00_o 41_o 12_o  _fw-fr  _fw-fr 13_o vii_o 15_o 15_o 43_o 32_o 3_o 48_o 14_o  _fw-fr 15_o 30_o 44_o 29_o  _fw-fr  _fw-fr 15_o viii_o 15_o 45_o 47_o 20_o 3_o 13_o 16_o  _fw-fr 16_o 0_o 49_o 1_o  _fw-fr  _fw-fr 17_o ix_o 16_o 15_o 50_o 53_o 2_o 44_o 18_o  _fw-fr 16_o 30_o 51_o 58_o  _fw-fr  _fw-fr 19_o x_o 16_o 45_o 53_o 17_o 2_o 17_o 20_o  _fw-fr 17_o 0_o 54_o 29_o  _fw-fr  _fw-fr 21_o xi_o 17_o 15_o 55_o 34_o 2_o 0_o 22_o  _fw-fr 17_o 30_o 56_o 37_o  _fw-fr  _fw-fr 23_o xii_o 17_o 45_o 57_o 34_o 1_o 40_o 24_o  _fw-fr 18_o 00_o 58_o 26_o  _fw-fr  _fw-fr 25_o xiii_o 18_o 15_o 59_o 14_o 1_o 16_o 26_o  _fw-fr 18_o 30_o 59_o 59_o  _fw-fr  _fw-fr 27_o fourteen_o 18_o 45_o 60_o 40_o 1_o 13_o 28_o  _fw-fr 19_o 0_o 61_o 18_o  _fw-fr  _fw-fr 29_o xv_o 19_o 15_o 61_o 53_o 1_o 1_o 30_o  _fw-fr 19_o 30_o 62_o 25_o  _fw-fr  _fw-fr 31_o xvi_o 19_o 45_o 62_o 54_o 0_o 52_o 32_o  _fw-fr 20_o 0_o 63_o 22_o  _fw-fr  _fw-fr 33_o xvii_o 20_o 15_o 63_o 46_o 0_o 44_o 34_o  _fw-fr 20_o 30_o 64_o 6_o  _fw-fr  _fw-fr 35_o xviii_o 20_o 45_o 64_o 30_o 0_o 36_o 36_o  _fw-fr 21_o 0_o 64_o 49_o  _fw-fr  _fw-fr 37_o xix_o 21_o 15_o 65_o 9_o 0_o 29_o 38_o  _fw-fr 21_o 30_o 65_o 21_o  _fw-fr  _fw-fr 39_o xx_o 21_o 45_o 65_o 35_o 0_o 22_o 40_o  _fw-fr 22_o 0_o 65_o 47_o  _fw-fr  _fw-fr 41_o xxi_o 22_o 15_o 65_o 57_o 0_o 16_o 42_o  _fw-fr 22_o 30_o 66_o 6_o  _fw-fr  _fw-fr 43_o xxii_o 22_o 45_o 66_o 14_o 0_o 11_o 44_o  _fw-fr 23_o 0_o 66_o 20_o  _fw-fr  _fw-fr 45_o  _fw-fr 23_o 15_o 66_o 25_o 0_o 6_o 46_o  _fw-fr 23_o 30_o 66_o 28_o  _fw-fr  _fw-fr 47_o xxiii_o 23_o 45_o 66_o 30_o 0_o 0_o 48_o  _fw-fr 24_o 0_o 66_o 31_o  _fw-fr  _fw-fr and_o here_o it_o be_v to_o be_v note_v that_o the_o parallel_n circle_n grow_v lesser_a and_o lesser_a and_o the_o climate_n narrow_a and_o more_o contract_v by_o how_o much_o they_o recede_v from_o the_o equator_fw-la towards_o the_o pole_n for_o one_o degree_n which_o in_o the_o equator_fw-la contain_v 51_o german_a mile_n contain_v but_o 14_o of_o those_o mile_n in_o the_o latitude_n of_o 21_o degree_n and_o but_o 13_o in_o the_o latitude_n of_o 30._o 12._o in_o 37._o 11_o in_o 48_o and_o ½_o and_o 6_o in_o 66_o degree_n of_o latitude_n whence_o it_o be_v easy_a to_o compute_v how_o many_o german_a miles_n be_v contain_v in_o every_o parallel_n circle_n for_o the_o number_n of_o degree_n in_o any_o parallel_n viz._n 360._o be_v multiply_v by_o the_o miles_n comprise_v in_o every_o degree_n will_v give_v the_o number_n of_o miles_n seek_v it_o rest_v that_o something_o be_v say_v of_o the_o several_a terrestrial_a inhabitant_n as_o they_o be_v difference_v and_o distinguish_v by_o reason_n of_o their_o situation_n and_o their_o shadow_n as_o to_o their_o situation_n they_o be_v distinguish_v into_o perioeci_n antoeci_n and_o antipode_n the_o perioeci_n be_v those_o which_o inhabit_v under_o one_o and_o the_o same_o parallel_n and_o meridian_n but_o in_o point_n direct_o opposite_a these_o have_v the_o same_o elevation_n of_o the_o pole_n equal_a arch_n both_o diurnal_a and_o nocturnal_a the_o same_o appearance_n of_o the_o star_n and_o constellation_n the_o same_o occultation_n rise_v and_o set_v night_n and_o day_n but_o at_o contrary_a time_n have_v winter_n and_o summer_n alike_o the_o same_o meridian_n shadow_n the_o antoeci_n be_v those_o who_o inhabit_v under_o equal_a and_o opposite_a parallel_n that_o be_v equal_o distant_a from_o the_o equator_fw-la southward_n and_o northward_o under_o a_o portion_n of_o the_o same_o meridian_n to_o these_o the_o elevation_n of_o the_o different_a pole_n be_v equal_a as_o the_o opposite_a diurnal_a and_o nocturnal_a arch_n the_o same_o appearance_n of_o the_o star_n and_o sign_n but_o opposite_a the_o same_o occultation_n rise_v and_o set_v when_o it_o be_v summer_n to_o these_o it_o be_v winter_n to_o those_o and_o spring_n to_o the_o one_o when_o it_o be_v autumn_n to_o the_o other_o they_o have_v likewise_o equal_a meridian_n shadow_n but_o diverse_o and_o opposite_o project_v the_o antipode_n be_v those_o who_o dwell_v not_o only_o under_o equal_a but_o opposite_a parallel_n and_o in_o place_n diametrical_o oppose_v the_o one_o to_o the_o other_o the_o foot_n of_o the_o one_o be_v direct_o against_o the_o foot_n of_o the_o other_o insomuch_o that_o a_o right_a line_n draw_v from_o the_o one_o to_o the_o other_o must_v necessary_o pass_v through_o the_o centre_n of_o the_o earth_n therefore_o the_o same_o accident_n which_o happen_v to_o the_o antoeci_n happen_v likewise_o to_o the_o antipode_n only_o this_o be_v proper_a to_o the_o antipode_n that_o they_o have_v one_o common_a horizon_n and_o different_a hemisphere_n have_v
and_o as_o long_o underneath_o it_o this_o appear_v by_o the_o first_o propos._n of_o this_o present_a treatise_n since_o one_o half_a of_o the_o zodiac_n be_v always_o apparent_a and_o the_o other_o always_o latent_fw-la either_o of_o which_o by_o the_o sun_n in_o near_a about_o six_o month_n time_n be_v run_v through_o neither_o do_v the_o difference_n of_o the_o sun_n motion_n occasion_v by_o his_o excentricity_n here_o come_v to_o be_v consider_v for_o the_o motion_n of_o the_o sun_n be_v always_o suppose_v equal_a in_o reference_n to_o the_o ark_n of_o his_o first_o motion_n prop._n xi_o to_o those_o go_n from_o the_o pole_n towards_o the_o arctic_a or_o antarctic_a circle_n this_o constant_a stay_n of_o the_o sun_n either_o above_o or_o under_o the_o horizon_n for_o six_o month_n grow_v lesser_a and_o lesser_a until_o it_o be_v reduce_v to_o the_o space_n of_o twenty_o four_o hour_n either_o under_o the_o arctic_a or_o antarctic_a circle_n for_o the_o horizon_n of_o those_o habitation_n touch_v two_o parallel_n of_o the_o equator_fw-la great_a than_o the_o tropic_n which_o on_o either_o side_n cut_v from_o the_o zodiac_n two_o equal_a periphery_n and_o that_o periphery_n which_o the_o parallel_n always_o apparent_a cut_v off_o never_o set_v and_o that_o which_o the_o always_o latent_fw-la abscind_v never_o rise_v prop._n xii_o to_o those_o inhabit_v under_o the_o arctic_a or_o antarctic_a circle_n the_o long_a day_n be_v 24_o hour_n and_o the_o night_n but_o a_o instant_n and_o on_o the_o contrary_a the_o long_a night_n 24_o hour_n and_o the_o day_n but_o a_o instant_n the_o other_o ark_n increase_v and_o decrease_v until_o they_o come_v to_o the_o equality_n of_o the_o equinox_n the_o order_n of_o the_o poem_n lead_v we_o in_o the_o next_o place_n after_o have_v treat_v of_o the_o several_a mundane_a system_n the_o additional_a constellation_n the_o celestial_a circle_n and_o the_o appendage_n thereunto_o deliver_v and_o explain_v in_o the_o former_a 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rivulis_fw-la ut_fw-la unda_fw-la flammas_fw-la temperet_fw-la terrae_fw-la solum_fw-la nec_fw-la dissipent_fw-la etc._n etc._n where_o we_o find_v the_o reason_n why_o the_o water_n be_v place_v above_o the_o heaven_n viz._n to_o restrain_v and_o temper_v the_o excessive_a fervour_n of_o the_o sun_n and_o star_n again_o in_o hymn_n fer_fw-fr quarta_fw-la ad_fw-la vesper_n the_o same_o church_n thus_o sing_v coeli_fw-la deus_fw-la sanctissime_fw-la qui_fw-la lucidum_fw-la centrum_fw-la poli_fw-fr candore_fw-la pingis_fw-la igneo_fw-la of_o the_o same_o sentiment_n be_v most_o of_o the_o father_n not_o only_o of_o the_o latin_a but_o the_o greek_a church_n as_o cyrillus_n hierosolimitanus_n and_o caesarius_n who_o speak_v of_o the_o firmament_n say_v recepturum_fw-la erat_fw-la subjectorum_fw-la luminarium_fw-la splendorem_fw-la solemn_a inquam_fw-la &_o lunam_fw-la &_o reliquum_fw-la astrorum_fw-la caetum_fw-la ex_fw-la igne_fw-la naturam_fw-la habentem_fw-la theodoretus_n likewise_o to_o the_o same_o purpose_n bifariam_fw-la deus_fw-la omnium_fw-la divisit_fw-la aquarum_fw-la naturam_fw-la &_o quasdam_fw-la sursum_fw-la collocavit_fw-la quae_fw-la svo_fw-la liquore_fw-la ac_fw-la frigiditate_fw-la non_fw-la sinerent_fw-la corrumpi_fw-la firmamentum_fw-la ab_fw-la igne_fw-la luminarium_fw-la st._n chrysostom_n be_v positive_a for_o the_o fiery_a nature_n of_o the_o star_n with_o who_o concur_v gregory_n nissen_n procopius_n and_o anastasius_n sinaita_n conform_v to_o who_o opinion_n be_v that_o of_o tertullian_n st._n ambrose_n st._n augustin_n arnobius_n lactantius_n anselmus_fw-la alcuinus_fw-la beda_n conclude_v we_o therefore_o induce_v as_o well_o by_o the_o authority_n of_o these_o ancient_a father_n as_o persuade_v by_o the_o concordant_a sentiment_n of_o divers_a eminent_a modern_a philosopher_n and_o astronomer_n that_o the_o star_n be_v compound_v and_o not_o simple_a body_n make_v up_o of_o elementary_a matter_n form_v into_o fiery_a globe_n and_o consist_v ex_fw-la solido_fw-la &_o liquido_fw-la as_o this_o terraqueous_a globe_n of_o we_o and_o consequent_o subject_a to_o corruption_n and_o alteration_n see_v franciscus_n patricius_n l._n 15._o pancosmias_n ricciolus_n
obvious_a phaenomenon_n they_o observe_v she_o likewise_o to_o differ_v in_o magnitude_n appear_v sometime_o great_a sometime_o less_o sometime_o of_o a_o mean_a or_o middle_a size_n whence_o they_o conclude_v she_o to_o approach_v sometime_o near_o to_o the_o earth_n and_o to_o be_v in_o perigaeo_n at_o other_o time_n to_o recede_v further_o from_o it_o and_o to_o be_v in_o apogaeo_n and_o this_o be_v the_o second_o phaenomenon_n but_o not_o common_o observe_v or_o obvious_a to_o all._n as_o to_o her_o rise_n and_o set_v they_o observe_v that_o she_o be_v never_o so_o remote_a from_o the_o sun_n as_o that_o she_o ever_o set_v cosmical_o or_o rise_v acronychally_n that_o be_v that_o she_o the_o sun_n rise_v in_o the_o eastern_a horizon_n never_o set_v at_o the_o same_o time_n in_o the_o west_n or_o the_o sun_n set_v in_o the_o west_n never_o rise_v at_o the_o same_o time_n in_o the_o east_n for_o venus_n can_v be_v oppose_v diametrical_o to_o the_o sun_n in_o regard_n she_o never_o 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schottus_n in_o praelus_fw-la in_o vener_n in_o itiner_n exstat_fw-la kircheri_fw-la beside_o these_o observation_n of_o the_o ancient_n modern_a astronomer_n by_o the_o help_n of_o the_o telescope_n have_v note_v several_a other_o signal_n phaenomena_n as_o that_o she_o be_v liable_a to_o the_o same_o variety_n of_o change_n as_o the_o moon_n sometime_o almost_o full_a at_o other_o time_n gibbous_a and_o now_o and_o then_o horn_a as_o well_o when_o she_o be_v vespertine_n as_o matutine_v manifest_v by_o the_o various_a observation_n of_o galileo_n scheinerus_n fontana_n hortensius_n keplerus_n rheita_n gassendus_fw-la and_o hevelius_n she_o be_v sometime_o likewise_o see_v by_o day_n at_o which_o time_n according_a to_o galilaeus_fw-la and_o hevelius_n her_o true_a figure_n be_v best_a to_o be_v discern_v in_o regard_n she_o be_v despoil_a of_o those_o adventitious_a ray_n with_o which_o in_o the_o night_n time_n she_o be_v invest_v ricciolus_n and_o grimaldus_n in_o the_o year_n 1649._o on_o the_o first_o of_o april_n behold_v she_o of_o a_o gibbous_a figure_n and_o on_o the_o twenty_o of_o the_o same_o month_n bisect_v or_o dichotomise_v and_o on_o the_o first_o of_o may_n and_o first_o of_o september_n the_o same_o year_n horn_a and_o so_o continue_v until_o the_o four_o day_n two_o hour_n after_o noon_n and_o so_o to_o the_o eight_o day_n of_o the_o same_o month_n from_o the_o sun_n be_v rise_v till_o noon_n on_o the_o eighteen_o she_o be_v exact_o bisect_v or_o dichotomise_v on_o the_o twenty_o six_o grow_v towards_o a_o gibbous_a figure_n but_o the_o rare_a and_o most_o signal_n phaenomenon_n of_o venus_n say_v ricciolus_n be_v when_o she_o have_v great_a latitude_n near_o her_o low_a conjunction_n with_o the_o sun_n for_o be_v then_o see_v by_o a_o good_a telescope_n she_o appear_v horn_v as_o big_a as_o the_o new_a moon_n to_o the_o bare_a eye_n of_o the_o structure_n nature_n and_o substance_n of_o this_o planet_n from_o the_o phaenomena_n already_o 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complete_v within_o the_o space_n of_o fourteen_o hour_n according_a to_o rheita_n as_o to_o its_o apparent_a and_o true_a diameter_n its_o solidity_n and_o proportion_n to_o the_o body_n of_o the_o earth_n as_o likewise_o its_o distance_n from_o thence_o author_n extreme_o vary_v ricciolus_n in_o the_o seven_o book_n of_o his_o almage_a sect._n sixth_n have_v collect_v their_o several_a opinion_n into_o one_o table_n to_o which_o for_o brevity_n sake_n we_o refer_v the_o reader_n content_v ourselves_o only_a to_o note_v that_o according_a to_o the_o say_v ricciolus_n the_o apparent_a diameter_n of_o venus_n in_o its_o great_a distance_n from_o the_o earth_n be_v 0′_n 33″_n 30‴_n in_o its_o mean_a distance_n 1′_n 44″_n 12‴_n in_o its_o least_o 4′_n 8″_n 0‴_n it_o be_v true_a diameter_n contain_v of_o the_o earth_n diameter_n 1._o 15_o 1000_o it_o be_v circumference_n three_o diameter_n of_o the_o earth_n and_o â…—_n the_o area_n of_o its_o great_a circle_n square_a diameter_n of_o 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676_o in_o august_n last_v 3_o month_n see_v from_o cock-crowing_a to_o sunrising_n in_o the_o east_n  _fw-fr  _fw-fr casting_n forth_o a_o great_a flame_n like_o a_o fiery_a trabs_fw-la or_o pillar_n 684_o between_o christmas_n day_n and_o twelftide_n last_v 3_o month_n see_v as_o well_o by_o day_n as_o night_n in_o the_o east_n near_o the_o pleyade_n move_v from_o south_n to_o north_n of_o a_o duskish_a colour_n like_o the_o moon_n appear_v through_o a_o cloud_n  _fw-fr 729_o in_o january_n last_v 14_o day_n see_v in_o the_o morn_n before_o sunrising_n and_o in_o the_o evening_n after_o sunset_n  _fw-fr  _fw-fr  _fw-fr like_a to_o a_o flame_a torch_n or_o firebrand_n stream_v northward_o 745_o about_o the_o end_n of_o the_o year_n  _fw-fr  _fw-fr see_v in_o syria_n  _fw-fr  _fw-fr  _fw-fr 761_o  _fw-fr appear_v 10_o day_n and_o 21_o day_n  _fw-fr in_o the_o east_n in_o the_o west_n  _fw-fr  _fw-fr  _fw-fr 763_o  _fw-fr  _fw-fr  _fw-fr in_o the_o east_n  _fw-fr terrible_a to_o 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under_o the_o moon_n eclipse_v the_o same_o  _fw-fr like_o a_o two-handed_a sword_n 1456_o two_o comet_n in_o june_n last_v a_o month_n  _fw-fr in_o cancer_n and_o leo_n one_o towards_o the_o west_n the_o other_o towards_o the_o east_n  _fw-fr  _fw-fr their_o tail_n extend_v beyond_o sixty_o degree_n 1457_o in_o june_n last_v 30_o day_n  _fw-fr in_o the_o twenty_o degree_n of_o pisces_fw-la  _fw-fr black_a and_o dusky_a  _fw-fr 1458_o in_o july_n  _fw-fr  _fw-fr in_o tauruâ—…_n  _fw-fr  _fw-fr  _fw-fr 1460_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr a_o most_o bright_a shine_a and_o dreadful_a comet_n  _fw-fr 1463_o the_o day_n before_o the_o death_n of_o james_n the_o second_o king_n of_o scotland_n  _fw-fr  _fw-fr  _fw-fr  _fw-fr very_o clear_a and_o bright_a  _fw-fr 1467_o after_o michaelmas_n  _fw-fr seldom_n see_v by_o reason_n of_o rainy_a wether_n in_o pisces_fw-la oc_fw-la cancer_n perhaps_o instead_o of_o cancer_n shall_v be_v put_v capricorn_n  _fw-fr  _fw-fr it_o cast_v its_o ray_n towards_o the_o east_n the_o sun_n be_v in_o the_o midst_n of_o libra_n 1468_o two_o comet_n  _fw-fr last_v fifteen_o day_n each_o  _fw-fr  _fw-fr  _fw-fr the_o latter_a bright_o than_o the_o first_o  _fw-fr 1472_o about_o the_o end_n of_o december_n or_o beginning_n of_o january_n observe_v by_o regiomontanus_n last_v eighty_o day_n at_o the_o beginning_n it_o appear_v in_o the_o morning_n about_o the_o end_n in_o the_o evening_n at_o the_o middle_n shine_v all_o night_n it_o pass_v from_o virgo_fw-la by_o boötes_n the_o dragon_n ursa_fw-la major_n foot_n of_o cepheus_n breast_n of_o cassiopaea_n belly_n of_o andromeda_n the_o northern_a fish_n and_o come_v to_o the_o whale_n where_o set_v hellacal_o it_o disappear_v at_o first_o and_o at_o its_o end_n move_v slow_o in_o the_o middle_n extreme_o swift_a in_o so_o much_o as_o it_o run_v through_o in_o one_o day_n forty_o degree_n of_o the_o circle_n it_o move_v in_o  _fw-fr at_o the_o beginning_n its_o head_n be_v small_a and_o thin_a afterward_o grow_v to_o a_o wonderful_a greatness_n and_o then_o less_o and_o less_o sometime_o pale_a and_o white_a sometime_o of_o a_o flame_n colour_v its_o tail_n at_o the_o beginning_n short_a about_o the_o middle_n stretch_v about_o fifty_o degree_n in_o length_n resemble_v a_o pertica_n or_o javelin_n and_o direct_v at_o divers_a time_n to_o divers_a quarter_n of_o the_o world_n 1473_o january_n the_o seventeen_o last_v till_o the_o eighteen_o of_o february_n follow_v  _fw-fr towards_o the_o south_n in_o cancer_n  _fw-fr  _fw-fr  _fw-fr 1475_o  _fw-fr  _fw-fr  _fw-fr in_o libra_n as_o herlicicius_fw-la rockenbach_n and_o alstedius_n  _fw-fr  _fw-fr its_o tail_n always_o direct_v towards_o gemini_fw-la as_o lubieniecius_fw-la cite_v gassendus_fw-la 1476_o in_o june_n as_o lubieniecius_fw-la from_o schulerus_n in_o disquis_fw-la phiâ—…soph_n de_fw-fr comet_n  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 1477_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr of_o a_o pale_a caerulean_a colour_n incline_v to_o black_n  _fw-fr 1479_o  _fw-fr  _fw-fr  _fw-fr see_v in_o arabia_n  _fw-fr  _fw-fr in_o form_n of_o a_o sharp_a beam_n or_o pillar_n wherein_o divers_a point_n may_v be_v observe_v 1491_o about_o the_o feast_n of_o the_o epiphany_n  _fw-fr see_v in_o the_o evening_n in_o the_o three_o face_n or_o decanate_n of_o pisce_fw-la or_o beginning_n of_o aries_n with_o south_n latitude_n  _fw-fr be_v head_n not_o great_a its_o tail_n long_o but_o thin_a cast_v but_o a_o small_a light_n direct_v to_o the_o east_n 1492_o in_o december_n last_v two_o month_n see_v after_o sunset_n  _fw-fr  _fw-fr  _fw-fr  _fw-fr 1500_o two_o comet_n one_o in_o april_n the_o other_o in_o january_n last_v four_o month_n last_v ten_o day_n see_v as_o well_o by_o day_n as_o night_n in_o the_o north_n in_o pisces_fw-la as_o also_o in_o sagittarius_fw-la &_o aquarius_n  _fw-fr  _fw-fr  _fw-fr 1505_o about_o the_o feast_n of_o st._n michael_n last_v until_o shrovetide_n follow_v see_v from_o four_o in_o the_o morning_n until_o eight_o before_o sunrising_n or_o from_o four_o before_o sunrising_n until_o eight_o after_o sunset_n  _fw-fr move_a from_o the_o south_n towards_o the_o west_n very_o large_a and_o shine_a almost_o as_o bright_a as_o the_o moon_n  _fw-fr 1506_o two_o comet_n one_o on_o the_o twelve_o of_o april_n the_o other_o in_o the_o begin_n of_o august_n the_o first_o last_v twenty_o five_o day_n continue_a till_o the_o fifteen_o of_o august_n the_o latter_a see_v at_o first_o near_o the_o pole_n above_o ursa_n major_n the_o next_o day_n among_o the_o star_n of_o the_o wain_n till_o at_o length_n it_o come_v to_o touch_v the_o horizon_n and_o disappear_v  _fw-fr the_o first_o pass_v from_o west_n to_o east_n the_o other_o run_v through_o the_o sign_n cancer_n leo_n and_o virgo_fw-la of_o a_o hideous_a dark_a colour_n its_o tail_n bright_a and_o splendid_a and_o spread_v like_o that_o of_o a_o peacock_n whence_o it_o be_v so_o call_v 1510_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr from_o it_o fall_v certain_a small_a sulphurous_a stone_n of_o a_o ill_a scent_n as_o cardan_n relate_v say_v lubieniecius_fw-la cite_v kecherman_n system_fw-la phys._n l._n 6._o c._n 5._o  _fw-fr 1511_o or_o 1512_o may_v the_o eleven_o march_n and_o april_n last_v till_o the_o three_o of_o july_n  _fw-fr in_o leo_n  _fw-fr of_o a_o sanguine_a colour_n  _fw-fr 1513_o in_o december_n last_v from_o the_o end_n of_o december_n to_o the_o nineteen_o of_o 〈◊〉_d follow_v shine_v all_o night_n  _fw-fr moved_n from_o the_o end_n of_o cancer_n to_o the_o end_n of_o virgo_fw-la various_o colour_a its_o tail_n long_o 1515_o or_o 1516_o  _fw-fr  _fw-fr  _fw-fr see_v in_o italy_n roch._n and_o myzald_n run_v in_o a_o short_a space_n through_o the_o twelve_o sign_n of_o the_o nature_n of_o the_o moon_n  _fw-fr 1521_o in_o april_n  _fw-fr  _fw-fr in_o the_o end_n of_o cancer_n  _fw-fr clear_a and_o like_o the_o moon_n in_o its_o dichotomy_n have_v short_a ray_n or_o hair_n 1522_o  _fw-fr  _fw-fr  _fw-fr towards_o the_o west_n  _fw-fr of_o the_o nature_n of_o saturn_n  _fw-fr 1523_o in_o november_n  _fw-fr  _fw-fr see_v in_o the_o kingdom_n of_o naples_n  _fw-fr  _fw-fr  _fw-fr 1526_o august_n the_o twenty_o three_o last_v until_o the_o twenty_o three_o of_o september_n  _fw-fr  _fw-fr  _fw-fr  _fw-fr like_a to_o a_o flame_a sword_n 1528_o january_n the_o eighteen_o  _fw-fr  _fw-fr in_o pisces_fw-la in_o opposition_n with_o saturn_n  _fw-fr  _fw-fr  _fw-fr 1529_o four_o comet_n at_o ouâ—…_n  _fw-fr  _fw-fr  _fw-fr mutual_o oppose_v to_o each_o other_o  _fw-fr hevelius_n doubt_n whether_o they_o be_v genuine_a comet_n their_o tail_n point_v direct_o towards_o the_o four_o quarter_n of_o the_o world_n 1530_o in_o june_n  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 1531_o august_n the_o six_o observe_v by_o p._n apianus_n last_v till_o the_o three_o of_o september_n at_o first_o see_v in_o the_o morning_n before_o sunrising_n at_o last_o in_o the_o evening_n after_o sunset_n see_v all_o over_o germany_n italy_n and_o france_n run_v from_o the_o begin_n of_o leo_n to_o the_o begin_n of_o libra_n in_o north_n latitude_n of_o a_o ruddy_a or_o rather_o yellow_a colour_n  _fw-fr 1532_o september_n the_o twenty_o five_o observe_v by_o p._n apianus_n last_v till_o the_o twenty_o of_o november_n see_v in_o the_o morning_n before_o sunrising_n  _fw-fr ran_n from_o the_o begin_n of_o virgo_fw-la to_o the_o begin_n of_o scorpio_n at_o first_o in_o south_n at_o last_o in_o north_n latitude_n thrice_o big_a than_o jupiter_n but_o of_o a_o pale_a obscure_a colour_n its_o tail_n very_o long_o and_o radiant_a stretch_v southwest_n 1533_o in_o the_o begin_n of_o june_n observe_v by_o p._n apianus_n  _fw-fr  _fw-fr it_o appear_v first_o in_o gemini_fw-la near_o perseus_n thence_o move_v retrograde_a unto_o taurus_n increase_a daily_a bigger_n than_o jupiter_n its_o tail_n extend_v fifteen_o degree_n in_o length_n like_v to_o a_o military_a spear_n by_o other_o resemble_v to_o a_o two-handed_a sword_n 1538_o in_o january_n observe_v by_o p._n apianus_n last_v three_o week_n see_v in_o the_o evening_n in_o the_o west_n in_o the_o begin_n of_o pisces_fw-la in_o seventeen_o degree_n of_o northern_a latitude_n  _fw-fr of_o a_o fiery_a colour_n some_o yet_o make_v it_o obscure_a and_o pale_a its_o tail_n extend_v thirty_o degree_n in_o length_n towards_o the_o east_n 1539_o on_o may_v the_o six_o last_v till_o may_v the_o seventeen_o  _fw-fr in_o leo_n in_o north_n latitude_n at_o first_o at_o last_o in_o south_n latitude_n move_v according_a to_o the_o course_n of_o the_o sign_n direct_v but_o from_o north_n to_o south_n its_o head_n small_a and_o obscure_a its_o tail_n short_a 1541_o august_n the_o twenty_o first_fw-mi  _fw-fr  _fw-fr  _fw-fr  _fw-fr resemble_v the_o shape_n of_o a_o dragon_n with_o a_o fiery_a tail_n 1542_o  _fw-fr last_v forty_o day_n  _fw-fr see_v over_o constantinople_n  _fw-fr dreadful_a
to_o behold_v  _fw-fr 1545_o  _fw-fr last_v a_o few_o day_n  _fw-fr in_o the_o west_n  _fw-fr of_o a_o sanguine_a colour_n  _fw-fr 1554_o  _fw-fr last_v some_o few_o day_n  _fw-fr  _fw-fr  _fw-fr of_o the_o colour_n of_o fire_n its_o tail_n point_v to_o the_o west_n 1556_o the_o five_o of_o march_n  _fw-fr  _fw-fr from_o the_o left_a wing_n of_o virgo_fw-la it_o pass_v by_o boötes_n and_o ascend_v to_o the_o northern_a pole_n of_o the_o eclip_n tick_n thence_o by_o andromeda_n it_o come_v to_o the_o northern_a fish_n where_o it_o be_v extinguish_v in_o its_o middle_a course_n most_o swift_a run_v through_o fifteen_o degree_n daily_o at_o first_o its_o motion_n be_v retrograde_a at_o last_o direct_v  _fw-fr its_o ray_n and_o colour_n change_v it_o seem_v like_o a_o bright_a globe_n of_o flame_n equal_a to_o the_o half_a moon_n its_o tail_n rare_a and_o thin_a cast_v forth_o rather_o a_o pale_a than_o ruddy_a light_n straight_a near_o the_o head_n and_o extend_v westward_o 1557_o in_o the_o month_n of_o october_n  _fw-fr  _fw-fr see_v in_o the_o west_n in_o sagittarie_n  _fw-fr  _fw-fr in_o the_o form_n of_o a_o dagger_n of_o a_o pale_a colour_n and_o its_o light_n thin_a and_o weak_a 1558_o in_o august_n last_v till_o the_o nones_n of_o september_n see_v in_o the_o evening_n under_o coma_n berenice_n above_o leo_n in_o the_o east_n move_v eastward_o of_o a_o pallid_a colour_n  _fw-fr 1559_o about_o the_o end_n of_o may_n last_v to_o the_o second_o of_o june_n  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 1560_o december_n the_o twenty_o eight_o last_v twenty_o eight_o day_n  _fw-fr see_v over_o most_o part_n of_o france_n  _fw-fr  _fw-fr  _fw-fr 1564_o on_o the_o twenty_o five_o of_o july_n its._n duration_n not_o mention_v  _fw-fr  _fw-fr  _fw-fr its_o figure_n not_o describe_v  _fw-fr 1569_o about_o the_o begin_n of_o november_n last_v to_o the_o end_n of_o the_o month_n see_v in_o the_o evening_n in_o 5°_n of_o capricorn_n near_o the_o bright_a star_n of_o sagittary_n but_o ricciolus_n affirm_v it_o appear_v in_o serpentarâ—…s_n and_o in_o the_o sign_n sagittarie_a and_o capricorn_n it_o pass_v from_o cancer_n and_o decline_v from_o its_o right_a course_n go_v aside_o to_o the_o 4°_n of_o virgo_fw-la where_o it_o become_v stationary_a of_o a_o very_a bright_a colour_n stream_v with_o fiery_a ray_n direct_v to_o the_o east_n 1577_o on_o the_o nine_o of_o november_n say_v hevelius_n on_o the_o twelve_o rockenbach_n on_o the_o ten_o ecstorm_n last_v 3_o month_n appear_v about_o five_o of_o the_o clock_n in_o the_o evening_n about_o the_o begin_n of_o capricorn_n in_o the_o high_a heaven_n for_o its_o parallax_n at_o the_o beginning_n be_v 19′_n 12″_n at_o the_o end_n 2′_n so_o that_o its_o distance_n from_o the_o earth_n at_o first_o be_v 173._o at_o last_o 1733._o seinidiameter_n of_o the_o earth_n it_o move_v from_o the_o begin_n of_o capricorn_n by_o the_o contact_n of_o the_o equator_fw-la and_o the_o meridian_n line_n pass_v the_o pole_n of_o the_o zodiac_n between_o equiculus_n and_o the_o dolphin_n unto_o the_o breast_n of_o pegasus_n its_o motion_n continual_o decrease_v it_o run_v through_o capricorn_n and_o aquarius_n to_o the_o middle_n of_o pisces_fw-la its_o colour_n be_v like_o the_o pure_a silver_n a_o little_a glitter_a its_o apparent_a magnitude_n exceed_v that_o of_o venus_n or_o jupiter_n its_o tail_n be_v of_o the_o colour_n of_o blood_n project_v to_o a_o great_a length_n towards_o that_o part_n of_o the_o heaven_n opposite_a to_o the_o sun_n in_o the_o midâ—…_n crooked_a the_o convexity_n thereof_o respect_v the_o zenith_n it_o be_v concavity_n the_o horizon_n its_o length_n extend_v to_o thirty_o degree_n its_o breadth_n to_o five_o 1578_o on_o the_o sixteen_o of_o may_n  _fw-fr appear_v about_o nine_o hour_n after_o sunset_n at_o which_o time_n jupiter_n and_o the_o moon_n be_v in_o conjunction_n in_o libra_n towards_o southwest_n  _fw-fr  _fw-fr its_o tail_n long_o and_o direct_v to_o the_o north_n 1580_o october_n the_o second_o say_v heâ—…l_a eight_o at_o nortmberg_n ten_o at_o gorlic_n say_v bucolâ—…rus_n i_o a_v above_o three_o month_n in_o the_o evening_n about_o seven_o of_o the_o clock_n until_o the_o fourteen_o of_o november_n and_o then_o matutine_v till_o the_o six_o of_o december_n whence_o only_o see_v in_o the_o morning_n between_o the_o zodiac_n and_o the_o aequator_fw-la about_o the_o five_o degree_n of_o pisces_fw-la distant_a from_o the_o earth_n 157_o s._n d._n thereof_o so_o that_o as_o hevelius_n note_n it_o be_v in_o the_o orb_n of_o mercury_n or_o confine_n of_o that_o of_o venus_n at_o first_o move_v in_o a_o slow_a and_o retrograde_a motion_n afterward_o in_o a_o swift_a course_n it_o run_v through_o aquarius_n capricorn_n and_o sagittary_n at_o the_o end_v its_o motion_n be_v more_o remiss_a and_o almost_o stationary_a at_o length_n direct_v creep_v forward_o from_o aries_n by_o the_o aequator_fw-la behind_o the_o star_n in_o the_o left_a hand_n of_o aquarius_n to_o the_o head_n of_o pegasus_n by_o equiculus_n and_o the_o dolphin_n till_o in_o the_o constellation_n of_o serpentarius_n it_o disappear_v its_o look_n sad_a mournful_a obscure_a wan_a and_o dull_a exceed_v in_o magnitude_n as_o to_o appearance_n the_o star_n of_o the_o first_o magnitude_n for_o its_o apparent_a diameter_n on_o the_o fifteen_o of_o october_n be_v find_v to_o be_v 16′_n 30″_n at_o first_o it_o want_v a_o tail_n but_o afterward_o about_o the_o nine_o of_o october_n it_o acquire_v a_o tail_n but_o rare_a and_o thin_a and_o always_o extend_v precise_o against_o that_o part_n of_o the_o heaven_n oppose_v to_o the_o sun_n 1582_o on_o may_v the_o fourteen_o last_v to_o may_v the_o eighteen_o in_o the_o evening_n after_o sunset_n between_o west_n and_o north_n its_o motion_n retrograde_a and_o swift_a ascend_v towards_o the_o north_n of_o a_o vast_a magnitude_n and_o dreadful_a to_o behold_v its_o tail_n extend_v between_o the_o right_n and_o left_a shoulder_n of_o auriga_fw-la ascend_v towards_o the_o sun_n 1585._o october_n the_o eight_o last_v till_o the_o five_o of_o november_n in_o the_o evening_n about_o nine_o of_o the_o clock_n in_o the_o 23°_n 9′_n of_o pisces_fw-la and_o in_o 13°_n 52′_n of_o southern_a latitude_n it_o move_v continual_o in_o direct_a motion_n but_o something_o slow_a from_o pisces_fw-la to_o aries_n till_o towards_o the_o middle_n of_o taurus_n where_o about_o the_o eighteen_o degree_n of_o that_o sign_n it_o disappear_v its_o light_n obscure_a rare_a and_o cloudy_a form_v like_o a_o crab_n it_o be_v apparent_a magnitude_n equal_v that_o of_o jupiter_n in_o the_o middle_a part_n of_o its_o body_n shine_v a_o more_o compact_a light_n about_o the_o extremity_n thereof_o thin_a and_o less_o appear_v it_o have_v no_o tail_n or_o beard_n unless_o about_o the_o twenty_o and_o twenty_o second_o of_o october_n at_o which_o time_n there_o appear_v some_o slight_a mark_n thereof_o 1590._o february_n the_o twenty_o three_o last_v till_o the_o six_o of_o march_n see_v in_o the_o evening_n between_o the_o constellation_n of_o andromeda_n and_o the_o ram_n near_o the_o northern_a fish_n its_o place_n be_v in_o the_o high_a heaven_n and_o not_o near_o to_o the_o earth_n than_o the_o sun_n it_o describe_v by_o its_o motion_n a_o arch_n of_o a_o great_a circle_n and_o measure_v in_o its_o course_n a_o four_o part_n of_o the_o hemisphere_n its_o head_n small_a shine_v with_o a_o pale_a and_o obscure_a light_n at_o the_o first_o big_a but_o then_o not_o exceed_v 3′_n in_o diameter_n and_o successive_o diminish_v both_o in_o magnitude_n and_o light_n it_o cast_v forth_o some_o small_a ray_n but_o thin_a and_o rare_a and_o extend_v towards_o that_o part_n of_o the_o heaven_n opposite_a to_o the_o sun_n 1593._o july_n the_o ten_o last_v till_o the_o twenty_o first_o of_o august_n conspicuous_a before_o sunrising_n in_o the_o cardinal_n solstitial_a sign_n by_o its_o motion_n it_o go_v from_o the_o tropic_a of_o 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