Selected quad for the lemma: cause_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
cause_n	circle_n	describe_v	zone_n	18	3	13.2685	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A60283	The principles of astronomy and navigation, or, A clear, short, yet full explanation of all circles of the celestial and terrestrial globes and of their uses : being the whole doctrine of the sphere and hypotheses to the phenomena of the primum mobile : to which is added a discovery of the secrets of nature which are found in the mercurial-weather-glass &c. : as also a new proposal for buoying of a ship of any burden from the bottom of the sea / by George Sinclair.	Sinclair, George, d. 1696.; Sinclair, George, d. 1696. Proteus bound with chains, or, A discovery of the secrets of nature which are found in the mercurial-weather-glass.	1688 (1688)	Wing S3857; ESTC R26242	48,104	164

fix_v their_o first_o march-stone_n there_o whence_o they_o begin_v to_o reckon_v but_o the_o late_a geographer_n have_v remove_v this_o march-stone_n 10_o degree_n more_o westerly_a and_o have_v make_v the_o common_a beginning_n of_o the_o meridian_n to_o pass_v through_o one_o of_o the_o island_n call_v osore_n whence_o they_o begin_v to_o reckon_v from_o west_n to_o east_n imita●…ing_v the_o order_n of_o the_o 12_o sign_n the_o use_n of_o the_o meridian_n be_v these_o 1._o it_o distinguish_v the_o eastern_a part_n of_o the_o world_n from_o the_o western_a part_n the_o anterior_a part_n from_o the_o posterior_n part_n 2._o it_o let_v we_o know_v the_o south_n part_n of_o the_o world_n and_o the_o north_n part_n for_o when_o the_o sun_n be_v in_o the_o meridian_n ●…en_o be_v midday_n and_o when_o the_o sun_n be_v in_o the_o northern_a part_n of_o the_o meridian_n then_o be_v midnight_n 3._o it_o divide_v the_o nocturnal_a and_o diurnal_a time_n into_o two_o half_n that_o be_v when_o the_o sun_n be_v come_v to_o the_o meridian_n in_o our_o hemisphere_n as_o much_o of_o the_o day_n be_v past_a as_o what_o be_v to_o come_v and_o when_o the_o sun_n be_v come_v to_o the_o northern_a part_n of_o the_o meridian_n as_o much_o of_o the_o night_n be_v past_a as_o what_o be_v to_o come_v 4._o the_o meridian_n supply_v in_o every_o oblique_a sphere_n the_o place_n of_o the_o right_a horizon_n therefore_o as_o the_o star_n do_v ascend_v above_o the_o right_a horizon_n so_o they_o pass_v over_o the_o meridian_n and_o those_o ●…ransitions_n be_v call_v the_o right_a ascension_n of_o the_o middle_a heaven_n 5._o from_o the_o meridian_n astronomer_n begin_v their_o time._n 6._o in_o the_o meridian_n we_o find_v out_o the_o zenith_n therefore_o when_o the_o star_n come_v to_o it_o they_o be_v either_o high_a above_o the_o horizon_n and_o be_v say_v by_o astrologer_n to_o culminate_v or_o they_o be_v in_o the_o low_a and_o opposite_a part_n of_o it_o which_o be_v the_o nadir_n 7._o in_o the_o meridian_n we_o find_v out_o the_o distance_n between_o the_o tropic_n and_o the_o whole_a obliquity_n of_o the_o ecliptic_a 8._o upon_o the_o meridian_n we_o number_v the_o latitude_n of_o place_n upon_o the_o earth_n and_o likewise_o the_o elevation_n of_o the_o pole_n and_o equinoctial_a the_o elevation_n of_o the_o pole_n be_v define_v a_o arch_n of_o the_o meridian_n measure_v between_o the_o horizon_n and_o the_o apparent_a pole_n of_o the_o world_n which_o may_v be_v find_v out_o after_o the_o follow_a manner_n observe_v the_o great_a and_o least_o altitude_n of_o any_o of_o the_o star_n which_o do_v not_o set_v subtract_v the_o least_o altitude_n from_o the_o great_a and_o divide_v the_o difference_n this_o difference_n be_v subtract_v from_o the_o great_a elevation_n or_o add_v to_o the_o least_o give_v the_o true_a height_n of_o the_o pole._n december_n 17._o 1669_o i_o observe_v with_o a_o large_a quadrant_n half_o 9_o a_o clock_n at_o night_n the_o foremost_a guard-star_n when_o it_o be_v in_o the_o meridian_n and_o low_a to_o have_v 41_o degree_n 22_o have_v of_o altitude_n and_o on_o january_n 7._o 1670_o at_o 7_o a_o clock_n in_o the_o morning_n i_o find_v it_o when_o it_o be_v in_o the_o meridian_n and_o high_o to_o have_v 70_o degree_n 27_o minute_n i_o subtract_v 41_o degree_n 22_o have_v from_o 70_o degree_n 27_o have_v and_o the_o difference_n be_v 29_o degree_n 5_o minute_n divide_v this_o and_o you_o have_v 14_o degree_n 32_o have_v and_o 30_o second_o this_o be_v add_v to_o 41_o degree_n 22_o have_v give_v you_o 55_o degree_n 54_o have_v 30_o second_o or_o subtract_v 14_o degree_n 32_o have_v and_o 30_o second_o from_o 70_o degree_n 27_o have_v and_o there_o remain_v 55_o degree_n 54_o have_v and_o 30_o second_o for_o our_o height_n of_o the_o pole_n at_o edinburgh_n 9_o the_o meridian_n do_v terminate_v and_o bind_v the_o longitude_n of_o place_n as_o well_o in_o the_o terrestrial_a globe_n as_o in_o the_o map_n and_o card_n project_v in_o plano_n 10._o the_o meridian_n do_v terminate_v and_o bind_v the_o breadth_n and_o latitude_n of_o the_o zone_n and_o also_o of_o the_o climate_n 11._o we_o find_v out_o in_o the_o meridian_n the_o antipode_n the_o anteci_n and_o perieci_n chap._n vii_o of_o the_o tropic_n the_o tropic_n be_v lesser_a movable_a circle_n of_o the_o sphere_n describe_v from_o the_o solsticial_a point_n by_o the_o mo●…ion_n of_o the_o primum_fw-la mobile_n they_o be_v call_v lesser_a because_o there_o be_v in_o the_o sphere_n great_a circle_n than_o they_o be_v they_o be_v call_v movable_a that_o they_o may_v be_v distinguish_v chief_o from_o the_o paral●…els_n of_o their_o horizon_n call_v almican●…ars_n who_o live_v under_o the_o pole_n and_o ●…rom_o the_o ancient_a polar_n of_o those_o who_o ●…ive_v under_o the_o polar_n with_o who_o the_o tropic_n be_v equal_a to_o those_o circle_n which_o comprehend_v the_o star_n which_o never_o come_v above_o the_o horizon_n nor_o ever_o go_v under_o it_o they_o be_v two_o in_o number_n to_o wit_n the_o tropic_a of_o cancer_n and_o the_o tropic_a of_o capricorn_n the_o tropic_a of_o cancer_n be_v a_o lesser_a movable_a circle_n describe_v from_o the_o summer-solstitial-point_n of_o the_o ecliptic_a by_o the_o motion_n of_o the_o primum_fw-la mobile_n the_o tropic_a of_o capricorn_n be_v lesser_a movable_a circle_n describe_v fro●…_n the_o winter-solstitial-point_n of_o the_o ecliptic_a by_o the_o motion_n of_o the_o primum_fw-la mobile_n the_o use_n of_o the_o tropic_n be_v these_o 1._o they_o demonstrate_v to_o we_o in_o the_o ecliptic_a the_o two_o tropical_a or_o solstic_a point_n to_o wit_n the_o beginning_n of_o cancer_n and_o the_o beginning_n of_o capricorn_n 2._o they_o terminate_v and_o bound_v the_o sun_n great_a declination_n and_o consequent_o the_o great_a obliquity_n of_o the_o ecliptic_a 3._o when_o the_o sun_n come_v to_o either_o of_o th●…_n two_o tropic_n he_o be_v either_o near_a t●…_n our_o vertical-point_n or_o further_a remove_v from_o it_o 4._o in_o a_o oblique_a sphere_n they_o lie_v parallel_n to_o the_o long_a and_o shortes●…_n day_n 5._o between_o the_o tropic_n i●…_n comprehend_v the_o torrid_a zone_n as_o well_o in_o the_o heaven_n as_o in_o the_o earth_n and_o by_o the_o same_o tropic_n the_o torrid_a zone_n be_v divide_v from_o the_o temperate_a zone_n chap._n viii_o of_o the_o polar_n the_o polar_n be_v lesser_a circle_n of_o the_o sphere_n movable_a describe_v from_o the_o pole_n of_o the_o ecliptic_a by_o the_o motion_n of_o the_o primum_fw-la mobile_n for_o this_o cause_n they_o be_v call_v the_o polar_a circle_n they_o be_v two_o in_o number_n the_o polar_a arctic_a and_o the_o polar_a antarctic_a the_o polar_a arctic_a be_v a_o lesser_a circle_n of_o the_o sphere_n movable_a describe_v from_o the_o north_n pole_n of_o the_o ecliptic_a by_o the_o motion_n of_o the_o primum_fw-la mobile_n the_o polar_a antarctic_a be_v a_o lesser_a circle_n of_o the_o sphere_n movable_a describe_v from_o the_o south_n pole_n of_o the_o ecliptic_a by_o the_o motion_n of_o the_o primum_fw-la mobile_n they_o let_v we_o see_v first_o the_o pole_n of_o the_o zodiac_n and_o they_o measure_v their_o distance_n from_o the_o pole_n of_o the_o world._n 2._o they_o bind_v the_o temperate_a zone_n and_o separat_n they_o from_o the_o cold_a zone_n which_o be_v bound_v and_o enclose_v by_o their_o circumference_n it_o be_v to_o be_v observe_v that_o the_o ancient_a astronomer_n proclus_n cleomedes_n and_o the_o rest_n have_v not_o the_o same_o description_n of_o the_o polar_n which_o we_o have_v for_o the_o ancient_n do_v not_o describe_v they_o as_o pass_v through_o the_o pole_n of_o the_o ecliptic_a but_o through_o the_o common_a section_n of_o the_o meridian_n and_o horizon_n equidistant_a to_o the_o equinoctial_a and_o therefore_o so_o much_o be_v their_o distance_n from_o the_o pole_n of_o the_o world_n a●…_n the_o height_n of_o the_o pole_n be_v above_o the_o horizon_n and_o by_o this_o mean_n where_o there_o be_v no_o elevation_n of_o the_o pole_n as_o in_o a_o right_a sphere_n there_o be_v no_o polar_n but_o from_o thence_o they_o be_v more_o and_o more_o gradual_o augment_v and_o enlarge_v according_a to_o the_o increment_n of_o the_o pole_n elevation_n the_o use_n of_o the_o polar_n according_a to_o the_o ancient_n be_v these_o 1._o they_o comprehend_v the_o arch_n of_o the_o elevation_n of_o the_o pole._n 2._o of_o all_o the_o parallel_n of_o the_o equinoctial_a which_o be_v always_o see_v above_o the_o horizon_n they_o be_v the_o great_a and_o of_o all_o the_o parallel_n of_o the_o equinoctial_a which_o lie_v hide_v under_o the_o horizon_n they_o be_v the_o great_a also_o but_o contra●…iwise_o of_o all_o the_o parallel_n of_o the_o equinoctial_a which_o arise_v and_o set_v in_o twenty_o four_o hour_n they_o be_v the_o

do_v set_v and_o do_v not_o set_v be_v great_a than_o the_o tropic_n 2._o they_o have_v a_o equinoctial_a as_o other_o part_n of_o the_o earth_n but_o when_o the_o sun_n be_v in_o that_o parallel_n who_o declination_n from_o the_o equinoctial_a be_v equal_a to_o the_o distance_n of_o the_o pole_n of_o the_o world_n from_o the_o zenith_n the_o day_n be_v twenty_o and_o four_o hour_n and_o the_o artificial_a day_n excresce_v and_o shoot_v out_o into_o many_o natural_a day_n 3._o the_o sun_n be_v in_o the_o same_o parallel_n he_o light_o touch_v the_o border_n of_o the_o horizon_n and_o come_v to_o it_o she_o shine_v only_o with_o a_o half_a orb._n 4._o they_o have_v but_o only_o one_o solstice_n in_o the_o tropic_a of_o cancer_n for_o the_o other_o in_o the_o tropic_a of_o capricorn_n can_v be_v see_v but_o analogical_o and_o ●…n_a similitude_n there_o be_v six_o solstice_n two_o high_a when_o the_o sun_n be_v in_o the_o tropic_a of_o cancer_n for_o there_o as_o well_o to_o the_o ●…outh_n as_o to_o the_o north_n the_o height_n of_o ●…he_a sun_n in_o the_o meridian_n be_v high_a al●…eit_v the_o northern_a be_v great_a than_o the_o ●…outhern_a and_o four_o low_a when_o the_o ●…he_a sun_n touch_v light_o the_o horizon_n ●…_n they_o have_v one_o summer_n and_o one_o ●…inter_n but_o their_o summer_n may_v be_v so_o ●…alled_v only_o analogical_o for_o these_o ●…laces_n of_o the_o earth_n be_v perpetual_o stiff_a ●…ith_n snow_n and_o ice_n 6._o they_o have_v four_o different_a shadow_n one_o from_o the_o east_n one_o from_o the_o west_n one_o from_o the_o south_n and_o one_o from_o the_o north._n here_o be_v the_o periscii_n 7._o the_o gnomon_n and_o style_n of_o their_o dial_n describe_v with_o their_o point_n elliptical_a figure_n chap._n xxi_o of_o the_o phenomena_n of_o the_o seven_o and_o last_o position_n 1._o there_o be_v here_o no_o star_n which_o either_o rise_n or_o set_v but_o all_o of_o they_o be_v whirl_v about_o equal_o distant_a from_o the_o horizon_n the_o arctic_a and_o antarctic_a circle_n be_v one_o and_o the_o same_o with_o the_o horizon_n and_o equinoctial_a which_o be_v now_o unite_v understand_v this_o of_o the_o fix_a star_n only_o for_o the_o planet_n absolve_v their_o course_n rise_v and_o set_v in_o their_o appoint_a time_n 2._o the_o artificial_a day_n be_v extend_v to_o half_a a_o year_n so_o be_v the_o artificial_a night_n and_o therefore_o the_o quantity_n of_o the_o natural_a day_n and_o the_o whole_a year_n be_v one_o and_o the_o same_o 3._o when_o the_o sun_n be_v in_o the_o equinoctial_a he_o shine_v only_o with_o half_a his_o orb_n and_o touch_v light_o the_o horizon_n and_o there_o he_o rise_v and_o set_v only_o at_o those_o time_n 4._o no_o point_n of_o the_o heaven_n can_v be_v call_v either_o west_n east_n south_n or_o north_n see_v the_o pole_n of_o the_o world_n do_v not_o incline_v to_o any_o part_n of_o the_o horizon_n by_o which_o inclination_n the_o four_o point_n of_o the_o universe_n have_v their_o distinction_n 5._o they_o have_v only_o one_o solstice_n to_o wit_n in_o cancer_n but_o analogical_o two_o other_o may_v be_v add_v to_o wit_n when_o the_o sun_n be_v in_o the_o begin_n of_o aries_n and_o libra_n 6._o there_o be_v one_o summer_n and_o one_o winter_n but_o their_o summer_n be_v rather_o to_o be_v call_v a_o slender_a slake_n of_o the_o cold._n they_o have_v one_o winter_n because_o the_o sun_n be_v under_o their_o horizon_n a_o whole_a half_a year_n together_o 7._o the_o gnomon_n of_o their_o dial_n describe_v with_o the_o extremity_n of_o the_o shadow_n upon_o a_o horizontal_n plain_n perfect_a circle_n finis_fw-la proteus_n bind_v with_o chain_n or_o a_o discovery_n of_o the_o secret_n of_o nature_n which_o be_v find_v in_o the_o mercurial-weather-glass_n unfold_a the_o reason_n and_o cause_n why_o before_o fair_a wether_n the_o quicksilver_n ascend_v and_o before_o foul_a wether_n it_o fall_v down_o and_o descend_v a_o subject_n not_o hitherto_o treat_v of_o together_o with_o some_o brief_n observe_v upon_o the_o parisian_a weatherglass_n and_o a_o explanation_n of_o the_o seal_a weatherglass_n and_o common_a weatherglass_n to_o all_o which_o be_v add_v the_o theory_n of_o the_o wether_n according_a to_o the_o perpendicular_a weatherglass_n by_o george_n sinclar_n sometime_o professor_n of_o philosophy_n in_o the_o college_n of_o glasgow_n fellix_fw-la qui_fw-la potuit_fw-la rerum_fw-la cognoscere_fw-la causas_fw-la edinburgh_n print_v by_o the_o heir_n of_o andrew_n anderson_n printer_n to_o his_o most_o sacred_a majesty_n anno_fw-la dom._n 1688._o proteus_n bind_v with_o chain_n or_o a_o discovery_n of_o the_o secret_n of_o nature_n which_o be_v find_v in_o the_o mercurial_a weatherglass_n etc._n etc._n there_o be_v many_o excellent_a question_n to_o be_v refolve_v and_o cause_n of_o the_o various_a phenomena_n of_o nature_n to_o be_v render_v before_o a_o man_n can_v have_v knowledge_n to_o mount_v the_o mercurial-weather-glass_n yet_o there_o be_v many_o who_o rash_o adventure_v and_o bring_v upon_o that_o unerring_a and_o infallible_a masterpiece_n of_o nature_n the_o scandalous_a and_o odious_a character_n of_o falibility_n either_o by_o raise_v the_o mercury_n too_o high_a or_o fix_v it_o too_o low_a in_o the_o cylindrical-glass_n both_o which_o extreme_n must_v be_v cautious_o shun_v for_o if_o it_o be_v not_o order_v according_a to_o the_o authentic_a observation_n of_o the_o wether_n for_o many_o year_n past_a it_o can_v but_o err_v and_o herein_o its_o infallibility_n and_o perfection_n consist_v to_o give_v the_o theory_n of_o the_o wether_n a_o just_a and_o determinate_a height_n according_a to_o long_a observation_n and_o by_o consequence_n the_o top_n of_o the_o cylinder_n the_o same_o height_n none_o of_o which_o no_o ignorant_a person_n can_v do_v the_o question_n to_o be_v resolve_v be_v such_o as_o follow_v 1._o what_o sustain_v the_o mercury_n in_o the_o glass-tube_n whilst_o the_o orifice_n be_v always_o downward_o and_o open_a 2._o why_o the_o glass_n must_v exceed_v in_o length_n one_o and_o thirty_o inch_n 3._o why_o the_o mercury_n fall_v not_o down_o if_o it_o be_v short_a than_o twenty_o and_o eight_o 4._o why_o the_o mercury_n be_v carry_v up_o with_o violence_n to_o the_o top_n of_o the_o glass-tube_n whilst_o the_o orifice_n be_v raise_v above_o the_o surface_n of_o the_o stagnant_a mercury_n 5._o why_o as_o much_o mercury_n in_o height_n be_v sustain_v in_o the_o wide_a glass_n as_o in_o the_o narrow_a 6._o why_o though_o the_o glass_n be_v in_o height_n many_o foot_n yet_o the_o whole_a mercury_n fall_v down_o to_o twenty_o and_o nine_o or_o thirty_o inch_n above_o the_o cistern_n 7._o what_o fill_v up_o the_o space_n leave_v empty_a behind_o 8._o why_o the_o mercury_n subside_v by_o degree_n as_o the_o weatherglass_n be_v carry_v up_o some_o high_a mountain_n and_o why_o it_o rise_v again_o as_o it_o be_v carry_v down_o 9_o why_o a_o glass_n of_o thirty_o six_o foot_n high_a be_v require_v to_o make_v a_o wether_n glass_n with_o water_n in_o it_o 10._o what_o be_v the_o reason_n i_o do_v not_o find_v the_o weight_n of_o the_o mercury_n within_o the_o glass_n whilst_o i_o poise_v it_o between_o my_o finger_n and_o yet_o i_o find_v another_o weight_n exact_o the_o weight_n of_o it_o 11._o what_o that_o other_o weight_n be_v all_o these_o and_o many_o more_o be_v full_o and_o clear_o resolve_v in_o my_o philosophical_a experiment_n twenty_o year_n ago_o but_o there_o be_v a_o late_a question_n which_o trouble_v all_o the_o learned_a to_o resolve_v which_o now_o i_o intend_v short_o to_o explain_v viz._n what_o be_v the_o reason_n why_o the_o quicksilver_n in_o the_o weatherglass_n creep_v up_o before_o fair_a wether_n and_o fall_v down_o before_o foul_a wether_n for_o a_o answer_n to_o this_o considerable_a question_n it_o be_v to_o be_v observe_v that_o in_o the_o foul_a wether_n i_o have_v find_v the_o quicksilver_n fall_v down_o to_o twenty_o and_o eight_o and_o in_o the_o dry_v and_o fair_a wether_n i_o have_v find_v it_o up_o at_o thirty_o and_o one_o inch._n from_o this_o excellent_a phenomenon_n only_o it_o be_v call_v the_o weatherglass_n kat'exohen_n by_o way_n of_o excellency_n because_o before_o this_o alteration_n be_v find_v in_o it_o it_o be_v call_v by_o the_o most_o part_n of_o philosopher_n the_o torricellian_a experiment_n for_o clear_v the_o question_n in_o hand_n i_o suppose_v that_o in_o the_o beginning_n there_o go_v up_o a_o damp_n from_o the_o earth_n to_o water_v the_o whole_a face_n of_o the_o ground_n moses_n gen._n 2._o relate_v now_o the_o ordinary_a mean_n appoint_v by_o god_n in_o nature_n for_o bring_v forth_o of_o herb_n bush_n and_o tree_n out_o of_o the_o ground_n viz._n the_o damp_n which_o cause_v the_o rain_n and_o moisten_v the_o earth_n which_o damp_n being_n by_o the_o heat_n of_o

the_o oblique_a and_o right_a circle_n of_o the_o sphere_n it_o be_v call_v by_o divers_a name_n for_o sometime_o it_o be_v call_v the_o equator_fw-la sometime_o the_o equinoctial_a and_o sometime_o the_o middle_a and_o great_a of_o the_o parallel_n the_o use_v and_o office_n of_o the_o equinoctial_a be_v these_o 1._o it_o measure_v the_o first_o motion_n for_o this_o circle_n of_o all_o the_o circle_n of_o the_o sphere_n under_o any_o position_n whatsoever_o move_v equal_o and_o therefore_o it_o ought_v to_o be_v also_o the_o measure_n of_o time_n it_o be_v most_o fit_a for_o determine_v the_o quantity_n of_o the_o artificial_a and_o natural_a day_n for_o this_o cause_n it_o be_v that_o the_o degree_n of_o the_o equinoctial_a be_v call_v by_o some_o tempora_fw-la time_n 2._o it_o point_v forth_o to_o we_o in_o the_o ecliptic_a the_o two_o equinoctial_a point_n those_o point_n in_o which_o the_o equinoctial_a and_o ecliptic_a cut_v one_o another_o in_o the_o begin_n of_o aries_n and_o libra_n for_o when_o the_o sun_n come_v to_o these_o point_n the_o day_n and_o the_o night_n be_v of_o equal_a length_n over_o all_o the_o earth_n which_o fall_v out_o on_o the_o 10_o or_o 11_o of_o march_n and_o on_o the_o 13_o or_o 14_o of_o september_n 3._o that_o which_o be_v anomolous_a and_o irregular_a in_o the_o oblique_a motion_n of_o the_o zodiac_n be_v reduce_v to_o a_o sure_a rule_n by_o the_o help_n of_o the_o equinoctial_a 4._o it_o divide_v the_o sphere_n into_o two_o equal_a part_n the_o one_o call_v the_o north_n part_n in_o which_o be_v the_o pole_n name_v polus_n septentrionalis_n boreus_n or_o articus_n the_o other_o call_v the_o south_n part_n in_o which_o be_v the_o pole_n name_v polus_n australis_fw-la meridionalis_fw-la or_o antarticus_n 5._o by_o this_o mean_n it_o divide_v the_o zodiac_n into_o six_o sign_n call_v northern_a sign_n and_o into_o other_o six_o call_v southern_a sign_n 6._o from_o the_o equinoctial_a be_v number_v the_o declination_n of_o all_o and_o whatsoever_o point_v in_o heaven_n as_o well_o south_n as_o north._n the_o declination_n of_o any_o point_n or_o star_n be_v a_o arch_n of_o a_o circle_n of_o declination_n measure_v between_o the_o equinoctial_a and_o the_o say_a point_n or_o centre_n of_o the_o say_v star._n circle_n of_o declination_n be_v of_o the_o great_a circle_n in_o the_o sphere_n movable_a pass_v through_o the_o pole_n of_o the_o world_n and_o any_o point_n give_v 7._o upon_o the_o equinoctial_a we_o reckon_v the_o right_a ascension_n of_o any_o or_o whatsoever_o point_n in_o heaven_n right_o ascension_n be_v nothing_o else_o but_o a_o arch_n of_o the_o equinoctial_a measure_v between_o the_o first_o point_n of_o aries_n and_o that_o circle_n of_o declination_n which_o pass_v through_o the_o point_n give_v 8._o upon_o the_o same_o equinoctial_a we_o measure_v the_o oblique_a ascension_n and_o descension_n of_o any_o point_n in_o heaven_n whatsoever_o oblique_a ascension_n be_v a_o arch_n of_o the_o equinoctial_a measure_v between_o the_o first_o point_n of_o aries_n and_o that_o point_v of_o the_o equinoctial_a which_o rise_v in_o the_o same_o moment_n of_o time_n with_o the_o point_n give_v oblique_a descension_n be_v a_o arch_n of_o the_o equinoctial_a measure_v between_o the_o point_n foresay_a and_o that_o point_v of_o the_o equinoctial_a which_o set_v in_o the_o same_o moment_n of_o time_n with_o the_o point_n give_v 9_o upon_o the_o equinoctial_a we_o count_v and_o reckon_v the_o ascensional_a difference_n which_o be_v nothing_o else_o but_o a_o arch_n of_o the_o equinoctial_a by_o which_o right_a ascension_n differ_v from_o oblique_a 10._o upon_o the_o equinoctial_a we_o measure_v the_o rise_n and_o set_v amplitude_n this_o rise_n and_o set_v amplitude_n be_v nothing_o else_o but_o a_o arch_n of_o the_o horizon_n measure_v between_o the_o rise_n or_o set_v of_o the_o equinoctial_a and_o the_o rise_n or_o set_v of_o any_o star_n or_o point_v give_v 11._o upon_o the_o equinoctial_a we_o number_v the_o longitude_n of_o place_n and_o upon_o the_o same_o we_o reckon_v the_o latitude_n of_o place_n the_o longitude_n of_o a_o place_n be_v a_o arch_n of_o the_o equinoctial_a measure_v between_o the_o first_o meridian_n and_o the_o meridian_n of_o the_o place_n the_o latitude_n of_o a_o place_n be_v a_o arch_n of_o the_o meridian_n measure_v between_o the_o equinoctial_a and_o zenith_n of_o the_o place_n 12._o the_o equinoctial_a be_v most_o useful_a for_o make_v of_o sun-dials_n for_o there_o must_v be_v as_o many_o hour_n upon_o the_o plain_a as_o there_o be_v 15_o degree_n in_o the_o equinoctial_a four_o and_o twenty_o time_n number_v chap._n iii_o of_o the_o zodiac_n the_o zodiac_n be_v one_o of_o the_o great_a circle_n of_o the_o sphere_n movable_a under_o which_o the_o planet_n perpetual_o haunt_v the_o first_o and_o second_o difference_n be_v add_v as_o in_o the_o definition_n of_o the_o equinoctial_a the_o three_o which_o be_v in_o these_o word_n under_o which_o the_o planet_n perpetual_o haunt_v do_v distinguish_v the_o zodiac_n from_o all_o other_o circle_n for_o it_o may_v come_v to_o pass_v that_o this_o or_o that_o planet_n by_o his_o proper_a motion_n may_v be_v under_o the_o meridian_n may_v be_v under_o some_o horary_a circle_n may_v touch_v light_o the_o horizon_n but_o that_o be_v not_o always_o nor_o do_v they_o always_o abide_v in_o the_o same_o situation_n but_o their_o stay_n be_v perpetual_a under_o the_o zodiac_n and_o because_o the_o planet_n wander_v in_o the_o heaven_n viâ_fw-la obliquâ_fw-la therefore_o this_o circle_n be_v make_v oblique_a and_o see_v in_o this_o obliquity_n they_o make_v digression_n from_o this_o side_n to_o that_o side_n and_o from_o that_o to_o this_o therefore_o astronomer_n have_v grant_v to_o this_o circle_n latitude_n whereby_o also_o it_o may_v be_v difference_v from_o all_o other_o circle_n none_o of_o which_o ever_o claim_v latitude_n the_o zodiac_n be_v divide_v first_o in_o relation_n to_o its_o latitude_n into_o north_n latitude_n and_o south_n latitude_n north_n latitude_n be_v that_o half_a part_n of_o the_o zodiac_n which_o from_o the_o ecliptic_a the_o middle_a line_n of_o it_o decline_v towards_o the_o north._n south_n latitude_n be_v opposite_a to_o this_o each_o one_o of_o they_o contain_v eight_o degree_n whereof_o the_o equinoctial_a contain_v 360._o the_o ecliptic_a or_o middle_a line_n of_o the_o zodiac_n be_v one_o of_o the_o great_a circle_n of_o the_o sphere_n movable_a under_o which_o the_o sun_n from_o west_n to_o east_n move_v perpetual_o this_o line_n as_o likewise_o the_o zodiac_n be_v divide_v according_a to_o longitude_n into_o twelve_o part_n which_o be_v call_v in_o greek_a 〈◊〉_d every_o one_o of_o these_o twelve_o be_v subdivide_v into_o 30_o part_n so_o that_o the_o whole_a zodiac_n contain_v 360_o degree_n these_o twelve_o division_n be_v call_v aries_n taurus_n gemini_fw-la cancer_n leo_n virgo_fw-la libra_n scorpius_n sagittarius_fw-la cap●…s_fw-la aquarius_n pisces_fw-la but_o see_v there_o be_v four_o cardinal_n point_n two_o of_o the_o equinoctial_a and_o two_o solstice_n point_n it_o have_v please_v astronome●…_n to_o make_v the_o beginning_n of_o their_o reckon_n from_o the_o vernal_a equinoctial_a point_n because_o the_o sun_n be_v there_o he_o not_o only_o begin_v the_o spring_n but_o open_v the_o earth_n and_o give_v life_n to_o all_o vegetable_n and_o thing_n which_o grow_v which_o can_v be_v do_v either_o in_o any_o of_o the_o solstice_n or_o when_o he_o be_v in_o the_o autumnal_a equinoctial_a point_n next_o the_o distinction_n of_o the_o sign_n be_v manifold_a for_o some_o of_o they_o be_v call_v northern_a sign_n and_o other_o be_v call_v southern_a the_o northern_a decline_v from_o the_o equinoctial_a towards_o the_o north_n which_o be_v aries_n taurus_n gemini_fw-la cancer_n leo_n virgo_fw-la the_o southern_a decline_n from_o the_o equinoctial_a towards_o the_o south_n which_o be_v libra_n scorpius_n sagittarius_fw-la capricornus_fw-la aquarius_n pisces_fw-la second_o some_o of_o they_o be_v call_v sign_n ascend_v other_o be_v call_v sign_n descend_v the_o first_o sort_n be_v these_o wherein_o the_o sun_n and_o the_o rest_n of_o the_o planet_n do_v ascend_v from_o the_o south_n towards_o our_o zenith_n which_o be_v capricornus_fw-la aquarius_n pisces_fw-la aries_n taurus_n gemini_fw-la the_o descend_v be_v these_o wherein_o the_o sun_n and_o the_o rest_n of_o the_o planet_n do_v move_v from_o our_o zenith_n towards_o the_o south_n which_o be_v cancer_n leo_n virgo_fw-la libra_n scorpius_n sagittarius_fw-la three_o the_o sign_n of_o the_o zodiac_n be_v either_o vernal_a estival_n autumnal_a or_o hybernal_a the_o vernal_a be_v aries_n taurus_n gemini_fw-la the_o estival_n be_v cancer_n leo_n virgo_fw-la autumnal_a be_v libra_n scorpius_n sagittarius_fw-la and_o the_o hibernal_a be_v capricornus_fw-la aquarius_n pisces_fw-la four_o the_o sign_n be_v either_o cardinal_n middle_n or_o fix_v or_o common_a or_o

two-bodied_n the_o cardinal_n sign_n be_v aries_n cancer_n libra_n capricornus_fw-la so_o call_v because_o their_o beginning_n be_v the_o very_a cardinal_n point_n the_o middle_a or_o fix_a sign_n be_v taurus_n leo_n scorpius_n aquarius_n they_o be_v call_v middle_a or_o fix_v because_o they_o keep_v the_o middle_a place_n between_o the_o cardinal_n and_o common_a sign_n they_o be_v fix_v because_o when_o the_o sun_n be_v in_o they_o we_o have_v a_o perfect_a temperament_n of_o the_o air_n agree_v to_o the_o give_v quadrant_n of_o the_o heaven_n as_o when_o the_o sun_n be_v in_o taurus_n we_o have_v a_o perfect_a spring_n in_o leo_n a_o perfect_a summer_n in_o scorpius_n a_o perfect_a harvest_n and_o in_o aquarius_n we_o have_v a_o perfect_a winter_n they_o be_v call_v common_a or_o two_o body_v as_o gemini_fw-la virgo_fw-la sagittarius_fw-la and_o pisces_fw-la because_o each_o one_o of_o they_o have_v two_o body_n indeed_o for_o gemini_fw-la be_v two_o twin_n virgo_fw-la have_v a_o ear_n of_o corn_n in_o her_o hand_n sagittarius_fw-la be_v make_v up_o of_o a_o man_n and_o a_o horse_n and_o last_o the_o fish_n be_v double_a they_o be_v call_v common_a because_o astrologer_n find_v that_o they_o participate_v of_o the_o nature_n both_o of_o the_o fix_a sign_n and_o the_o cardinal_n which_o follow_v five_o the_o sign_n be_v divide_v into_o four_o triplicity_n which_o be_v call_v by_o astrologer_n trigon_n the_o first_o be_v call_v the_o fiery_a trigon_n which_o contain_v aries_n leo_n and_o sagittarius_fw-la the_o second_o be_v the_o earthy_a which_o contain_v taurus_n virgo_fw-la and_o capricorn_n the_o three_o be_v the_o aerial_a which_o contain_v gemini_fw-la libra_n and_o aquarius_n the_o four_o be_v the_o watery_a which_o contain_v cancer_n scorpius_n and_o pisces_fw-la if_o it_o happen_v that_o saturn_n and_o jupiter_n be_v in_o conjunction_n this_o year_n in_o leo_n their_o next_o conjunction_n will_v happen_v 20_o year_n after_o or_o true_o 19_o year_n 315_o day_n and_o 19_o hour_n after_o in_o sagittarius_fw-la from_o sagittarius_fw-la to_o aries_n from_o aries_n to_o leo_n and_o so_o in_o round_a till_o 198_o year_n and_o 236_o day_n pass_v they_o make_v a_o transit_fw-la into_o a_o new_a trigon_n so_o that_o the_o revolution_n of_o one_o trigon_n consume_v almost_o 200_o year_n the_o use_n of_o the_o zodiac_n and_o ecliptic_a be_v these_o 1._o as_o the_o equinoctial_a be_v the_o measure_n of_o the_o pri●…_n mobile_n so_o be_v the_o zodiac_n and_o ecliptic_a the_o square_a and_o rule_n of_o the_o second_o movable_n for_o as_o the_o sun_n be_v always_o in_o or_o under_o the_o ecliptic_a so_o be_v the_o rest_n of_o the_o planet_n always_o in_o or_o under_o the_o zodiac_n therefore_o as_o in_o the_o celestial_a globe_n the_o zodiac_n have_v the_o chief_a place_n so_o in_o the_o terrestrial_a globe_n the_o equinoctial_a 2._o upon_o the_o ecliptic_a we_o reckon_v the_o longitude_n of_o star_n and_o from_o the_o same_o ecliptic_a we_o count_v their_o latitude_n the_o longitude_n of_o a_o star_n be_v a_o arch_n of_o the_o ecliptic_a measure_v between_o ●●e_z true_a equinoctial_a point_n or_o beginning_n of_o aries_n and_o the_o circle_n of_o latitude_n pass_v through_o the_o centre_n of_o that_o ●tar_n circle_n of_o latitude_n be_v great_a movable_a circle_n pass_v through_o the_o pole_n of_o the_o ecliptic_a and_o the_o centre_n ●f_n the_o star_n give_v they_o be_v of_o that_o ●umber_n of_o circle_n which_o can_v be_v ●●aced_v artificial_o in_o the_o sphere_n ne●ertheless_o of_o that_o same_o number_n be_v the_o ●olurus_fw-la solstitiorum_fw-la fix_v in_o the_o sphere_n the_o latitude_n of_o a_o star_n be_v a_o arch_n of_o a_o circle_n of_o latitude_n measure_v between_o ●he_n ecliptic_a and_o the_o centre_n of_o the_o ●tar_n 3._o according_a to_o the_o degree_n and_o ●arts_n of_o the_o zodiac_n and_o ecliptic_a the_o whole_a heaven_n and_o the_o whole_a universe_n 〈◊〉_d divide_v into_o twelve_o sign_n nay_o every_o point_n contain_v in_o the_o sphere_n of_o the_o fix_a star_n be_v say_v to_o be_v in_o this_o or_o that_o sign_n though_o to_o be_v in_o a_o sign_n be_v say_v many_o way_n for_o first_o to_o be_v in_o a_o sign_n be_v nothing_o else_o but_o to_o be_v under_o any_o ●welfth_o part_n of_o the_o zodiac_n in_o this_o ●ense_n the_o sun_n be_v say_v to_o ●e_n in_o a_o sign_n because_o he_o be_v always_o under_o the_o ecliptic_a then_o the_o star_n be_v say_v to_o be_v in_o a_o sign_n which_o be_v indeed_o out_o of_o the_o ecliptic_a nevertheless_o be_v under_o the_o zodiac_n in_o this_o sense_n the_o planet_n which_o wander_v from_o the_o ecliptic_a be_v say_v to_o be_v in_o the_o sign_n of_o aries_n and_o taurus_n etc._n etc._n three_o any_o thing_n be_v say_v to_o be_v in_o a_o sign_n which_o be_v include_v in_o any_o of_o the_o twelve_o part_n which_o arise_v from_o the_o division_n of_o the_o whole_a heaven_n pass_v through_o the_o beginning_n of_o the_o dodekatemoria_fw-la or_o the_o pole_n of_o the_o ecliptic_a they_o be_v six_o great_a circle_n which_o mutual_o cut_v one_o another_o in_o the_o same_o pole_n in_o this_o sense_n any_o star_n as_o well_o fix_v as_o wander_v or_o new_o appear_v as_o a_o comet_n be_v say_v to_o be_v in_o the_o sign_n of_o aries_n taurus_n etc._n etc._n 4._o the_o obliquity_n of_o the_o ecliptic_a be_v the_o cause_n of_o the_o inequality_n of_o day_n for_o see_v it_o move_v unequal_o and_o not_o even_o the_o sun_n which_o be_v the_o true_a parent_n of_o time_n must_v of_o necessity_n make_v the_o day_n unequal_a 5._o the_o year_n the_o month_n and_o the_o four_o season_n of_o the_o year_n be_v determine_v by_o the_o ecliptic_a 6._o when_o the_o sun_n and_o moon_n be_v both_o of_o they_o in_o the_o ecliptic_a of_o necessity_n there_o must_v be_v eclipse_n and_o for_o this_o cause_n it_o be_v call_v the_o ecliptic_a 7._o how_o much_o be_v the_o obliquity_n of_o the_o ecliptic_a so_o much_o be_v the_o distance_n between_o the_o pole_n of_o the_o world_n and_o the_o pole_n of_o the_o ecliptic_a so_o much_o also_o be_v the_o distance_n between_o the_o equinoctial_a and_o either_o of_o the_o tropic_n chap._n iu._n of_o the_o colour_n the_o colour_n be_v nothing_o else_o but_o circle_n of_o declination_n define_v above_o in_o the_o second_o chapter_n of_o the_o equinoctial_a they_o be_v call_v colour_n from_o two_o greek_a word_n kolos_n or_o kolobos_n mancus_fw-la maim_v or_o defective_a and_o oura_n cauda_fw-la a_o tail_n because_o in_o a_o oblique_a sphere_n they_o have_v some_o part_n unseen_a as_o if_o they_o be_v maim_v or_o want_v but_o all_o the_o rest_n of_o the_o circle_n of_o the_o sphere_n while_o it_o be_v go_v about_o may_v be_v see_v but_o the_o colour_n have_v always_o some_o of_o their_o part_n towards_o either_o of_o the_o two_o pole_n lie_v hide_v and_o unseen_a there_o be_v only_o two_o of_o they_o which_o use_v to_o be_v place_v in_o the_o sphere_n one_o whereof_o be_v call_v the_o solstice_n colour_n the_o other_o the_o equinoctial_a colour_n the_o equinoctial_a colour_n be_v one_o of_o the_o great_a circle_n of_o the_o sphere_n movable_a pass_v through_o the_o pole_n of_o the_o sphere_n and_o the_o equinoctial_a point_n the_o first_o of_o aries_n and_o the_o first_o of_o libra_n which_o be_v call_v cardinal_n by_o the_o word_n movable_a the_o colour_n be_v difference_v first_o from_o the_o meridian_n second_o from_o the_o right_a horizon_n and_o three_o from_o the_o horary_a circle_n with_o all_o which_o by_o one_o turn_v about_o of_o the_o sphere_n they_o be_v twice_o unite_v but_o in_o this_o they_o differ_v that_o those_o do_v not_o move_v but_o these_o follow_v the_o motion_n of_o the_o primum_fw-la mobile_n the_o solstice_n colour_n be_v one_o of_o the_o great_a circle_n of_o the_o sphere_n movable_a draw_v through_o the_o pole_n of_o the_o sphere_n and_o the_o two_o solstice_n point_n by_o which_o difference_n they_o be_v distinguish_v from_o other_o colour_n the_o use_n of_o all_o the_o colour_n in_o common_a be_v these_o first_o we_o reckon_v upon_o they_o the_o declination_n of_o all_o the_o point_n of_o the_o heaven_n whatsoever_o 2._o they_o terminate_v and_o bound_v the_o right_a ascension_n 3._o they_o be_v like_a unto_o a_o right_a horizon_n and_o a_o meridian_n in_o any_o sphere_n whether_o right_o oblique_a or_o parallel_v the_o use_v of_o the_o colour_n which_o be_v set_v down_o in_o the_o sphere_n be_v these_o in_o common_a 1._o without_o they_o the_o parallel_n circle_n in_o the_o material_a sphere_n can_v stand_v 2._o by_o their_o mutual_a cut_n one_o another_o they_o show_v the_o pole_n of_o the_o sphere_n 3._o they_o divide_v the_o ecliptic_a into_o four_o quadrant_n the_o peculiar_a uses_n of_o the_o equinoctial_a colour_n be_v these_o 1._o it_o demonstrat_n to_o we_o the_o