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cause_n day_n equality_n zone_n 24 3 13.2192 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A29742 An account of the rotula arithmetica invented by Mr. George Brown. Brown, George, 1650-1730.; Dary, Michael. Dary's Miscellanies.; Cooke, Francis, fl. 1669. Principles of geometrie.; Georgius, Henisschius. Tables of the astronomical institutions. 1700 (1700) Wing B5019; ESTC R4627 82,687 247

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breadth_n and_o in_o colour_n the_o cause_n be_v diverse_a and_o those_o either_o fabulous_a or_o natural_a the_o fabulous_a cause_n be_v in_o number_n 4._o the_o first_o be_v take_v from_o the_o scorch_n of_o the_o ☉_o as_o if_o the_o ☉_o have_v sometime_o make_v his_o motion_n there_o and_o by_o his_o scorch_n have_v cause_v that_o place_n to_o be_v white_a the_o second_o be_v draw_v from_o the_o milk_n of_o juno_n that_o run_v plentiful_o out_o of_o her_o pap_n paint_v this_o circle_n of_o that_o colour_n the_o three_o be_v fetch_v from_o the_o seat_n and_o habitation_n of_o strong_a and_o valiant_a man_n who_o the_o poet_n have_v place_v in_o this_o circle_n the_o four_o be_v derive_v out_o of_o the_o way_n of_o the_o god_n as_o if_o they_o pass_v thereby_o unto_o the_o palace_n of_o jupiter_n the_o natural_a cause_n allege_v although_o they_o be_v many_o yet_o be_v principal_o but_o 3._o the_o first_o by_o theophrastus_n who_o say_v that_o it_o be_v that_o join_v together_o 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unto_o the_o other_o yet_o about_o the_o tropick_n their_o figure_n be_v limit_v with_o a_o great_a compass_n then_o toward_o the_o polare_fw-la circle_n the_o accidental_a nature_n of_o the_o zone_n be_v that_o in_o regard_n whereof_o they_o be_v say_v to_o be_v mean_a extreme_a and_o between_o mean_a and_o extreme_a the_o mean_a or_o burn_a zone_n be_v divide_v into_o 2._o part_n whereof_o the_o one_o be_v situate_v under_o the_o equator_fw-la the_o other_o about_o the_o tropicke_n that_o part_n which_o be_v situate_v under_o the_o equator_fw-la seem_v to_o be_v temperate_a and_o that_o for_o three_o cause_n 1._o by_o reason_n of_o the_o sudden_a and_o cross_a access_n and_o recess_n of_o the_o sun_n 2._o by_o reason_n of_o the_o continual_a equality_n of_o the_o night_n and_o day_n in_o that_o place_n 3._o by_o reason_n of_o the_o swift_a carry_v about_o of_o the_o ☉_o by_o the_o first_o motion_n that_o part_n which_o be_v situate_v under_o the_o tropicke_n be_v hard_o to_o be_v inhabit_v and_o that_o also_o for_o 3._o cause_n 1._o for_o the_o slow_a conversion_n of_o the_o ☉_o 2._o for_o the_o double_a projection_n of_o the_o sunbeam_n upon_o those_o place_n 3._o for_o the_o great_a increase_n of_o the_o summer_n day_n above_o the_o night_n the_o extreme_a zone_n be_v both_o of_o they_o freeze_a by_o reason_n of_o the_o too_o much_o cold_a that_o fall_v out_o there_o by_o mean_n of_o the_o oblique_a projection_n and_o reflection_n of_o the_o sun_n beam_n the_o zone_n between_o mean_a and_o extreme_a be_v both_o of_o they_o temperate_a and_o be_v divide_v into_o 3._o region_n whereof_o one_o be_v situate_v about_o the_o middle_a part_n thereof_o which_o we_o judge_v simple_o to_o be_v temperate_a by_o reason_n of_o the_o moderate_a heat_n of_o the_o ☉_o namely_o from_o 34._o gr_n unto_o 48._o gr_n distance_n from_o the_o equator_fw-la the_o other_o 2._o region_n be_v about_o the_o extreme_n thereof_o the_o one_o be_v about_o the_o tropick_n and_o so_o subject_a unto_o the_o intemperate_a heat_n of_o the_o burn_a zone_n the_o other_o nigh_o unto_o the_o polares_fw-la and_o therefore_o subject_a unto_o the_o intemperate_a cold_n of_o the_o freeze_a zone_n the_o reason_n how_o all_o place_n upon_o the_o earth_n may_v be_v refer_v unto_o those_o zone_n have_v two_o consideration_n 1._o if_o the_o place_n have_v septentrional_a latitude_n and_o that_o less_o than_o the_o great_a declination_n of_o the_o ☉_o they_o belong_v unto_o the_o burn_a zone_n if_o equal_a unto_o the_o trop_fw-fr of_o ♋_o if_o great_a and_o yet_o not_o exceed_v ♋_o gr_n 30._o mi._n they_o belong_v unto_o the_o temperate_a zone_n if_o the_o say_v septentrional_a latitude_n be_v equal_a unto_o the_o compliment_n of_o the_o great_a obliquation_n they_o must_v be_v place_v under_o the_o arctic_a circle_n if_o great_a under_o the_o freeze_a zone_n 2._o if_o the_o
general_a reason_n be_v either_o in_o respect_n of_o their_o name_n or_o their_o definition_n they_o be_v name_v by_o the_o greek_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d tropicke_n by_o the_o latin_v versiles_n conversius_fw-la vertentes_fw-la tourn_v and_o the_o solstitial_a parallel_n their_o definition_n contain_v their_o quantity_n and_o their_o circumference_n their_o quantity_n be_v note_v either_o in_o respect_n of_o the_o other_o circle_n these_o be_v count_v in_o the_o number_n of_o the_o less_o circle_n or_o in_o regard_n of_o themselves_o whereby_o they_o be_v count_v equal_a in_o asmuch_o as_o they_o be_v equal_o distant_a from_o the_o centre_n of_o the_o world_n be_v separate_v the_o one_o from_o the_o other_o by_o the_o double_a distance_n of_o the_o ☉_o great_a declination_n their_o circumference_n be_v that_o round_a compass_n which_o the_o ☉_o pass_v through_o the_o 2_o solstitial_a point_n do_v describe_v they_o be_v in_o number_n 2._o the_o one_o septentrional_a the_o other_o meridional_a the_o septentrional_a tropic_n be_v on_o this_o side_n of_o the_o equator_fw-la in_o respect_n of_o we_o which_o we_o call_v either_o the_o summer_n tropic_n for_o that_o it_o pass_v through_o the_o point_n of_o the_o summer_n solstice_n or●ls_v the_o tropic_n of_o ♋_o because_o it_o be_v describe_v through_o the_o end_n of_o ♊_o &_o the_o beginning_n of_o ♋_o the_o meridional_a tropic_n be_v situate_v on_o the_o other_o side_n of_o the_o equator_fw-la and_o be_v call_v either_o the_o winter_n tropic_n as_o pass_v through_o the_o point_n of_o the_o winter_n solstice_n or_o the_o tropic_n of_o ♑_o because_o it_o be_v draw_v through_o the_o head_n of_o ♑_o the_o office_n and_o commodity_n of_o they_o be_v in_o number_n 4._o 1_o they_o show_v the_o trope_n that_o be_v the_o conversion_n or_o tourning_n of_o the_o ☉_o aswell_o in_o summer_n happen_v in_o our_o age_n the_o 3._o and_o 2._o of_o the_o ides_n of_o june_n as_o also_o in_o winter_n the_o 3._o &_o 2._o of_o the_o ides_n of_o december_n 2_o they_o show_v in_o every_o situation_n of_o the_o sphere_n both_o the_o long_a day_n which_o be_v as_o long_o as_o the_o diurnal_a ark_n of_o the_o tropic_n of_o ♋_o contain_v hour_n and_o the_o short_a day_n which_o be_v as_o long_o as_o the_o space_n of_o hour_n contain_v within_o the_o diurnal_a ark_n of_o the_o tropic_n of_o ♑_o 3_o they_o point_n out_o the_o limit_n of_o the_o course_n of_o the_o ☉_o and_o his_o great_a declination_n which_o be_v 23._o gr_n 52._o mi._n as_o in_o the_o time_n of_o aristarchus_n &_o ptolemee_n or_o 23._o gr_n 28._o mi._n as_o it_o be_v now_o in_o our_o time_n 4_o they_o show_v the_o burn_a zone_n which_o they_o separate_v from_o the_o temperate_a and_o the_o midst_n of_o the_o second_o climate_n which_o they_o call_v dia-syenes_a and_o anti-dia-syenes_a of_o the_o 2._o polare_fw-la circle_n chap._n 26._o the_o two_o pole_n of_o the_o zodiac_n carry_v about_o by_o the_o regular_fw-la revolution_n of_o the_o universal_a frame_n describe_v about_o the_o pole_n of_o the_o world_n two_o circle_n whereof_o the_o general_a reason_n the_o number_n and_o the_o use_n be_v to_o be_v note_v the_o general_a reason_n offer_v to_o our_o consideration_n their_o name_n their_o definition_n and_o their_o accident_n they_o be_v call_v the_o polare_fw-la circle_n either_o because_o they_o be_v describe_v about_o the_o pole_n or_o by_o the_o pole_n their_o definition_n by_o the_o latin_n it_o be_v make_v by_o their_o quantity_n and_o their_o circumference_n and_o plane_n touch_v their_o quantity_n they_o be_v in_o the_o number_n of_o the_o less_o circle_n equal_a in_o all_o place_n their_o circumference_n and_o plane_n be_v describe_v either_o by_o line_n draw_v from_o the_o pole_n of_o the_o zodiac_n unto_o the_o axe_n of_o the_o world_n at_o right_a angle_n and_o have_v by_o the_o daily_a motion_n a_o perfect_a revolution_n or_o else_o they_o be_v describe_v by_o certain_a semidiameter_n draw_v from_o 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wind_v call_v boreas_n and_o arctic_a and_o septentrional_a because_o of_o the_o 2._o constellation_n the_o one_o of_o the_o great_a bear_v call_v arctos_n the_o other_o of_o the_o less_o bear_v call_v septentriones_fw-la which_o be_v nigh_o thereunto_o the_o meridional_a polare_fw-la circle_n be_v call_v australl_a or_o southern_a of_o the_o south_n wind_v call_v auster_n and_o antarcticke_a ●s_a opposite_a unto_o the_o arctic_a and_o meridional_a of_o the_o south_n part_n of_o heaven_n call_v meridy_n their_o use_n be_v note_v in_o that_o they_o comprehend_v the_o cold_a and_o freeze_a zone_n and_o the_o inhabitant_n of_o the_o earth_n call_v perison_n who_o shadow_n go_v round_o about_o they_o and_o on_o either_o side_n limit_v the_o the_o distance_n of_o the_o pole_n the_o polare_fw-la circle_n otherwise_o describe_v according_a to_o the_o grecian_n chap._n 27._o the_o polare_fw-la circle_n be_v describe_v either_o according_a to_o the_o great_a declination_n of_o the_o ☉_o or_o the_o altitude_n of_o the_o pole_n above_o the_o horizon_n the_o great_a declination_n of_o the_o ☉_o by_o mean_n of_o the_o motion_n of_o inclination_n of_o the_o eight_o sphere_n be_v diverse_a for_o it_o be_v one_o in_o time_n past_a and_o be_v find_v to_o be_v another_o now_o and_o of_o such_o circle_n the_o reason_n be_v declare_v in_o the_o chapter_n before_o the_o polare_fw-la circle_n describe_v according_a to_o the_o altitude_n of_o the_o pole_n require_v the_o consideration_n of_o their_o definition_n their_o variety_n their_o office_n and_o the_o manner_n of_o their_o description_n in_o define_v the_o arctic_a polate_a circle_n we_o say_v 1._o that_o it_o be_v the_o great_a of_o those_o circle_n which_o be_v always_o in_o our_o sight_n that_o be_v of_o those_o which_o we_o may_v see_v at_o the_o same_o instant_n 2._o that_o it_o touch_v the_o horizon_n in_o one_o point_n 3._o that_o it_o be_v altogether_o above_o the_o earth_n in_o define_v the_o antarctick_a polare_fw-la circle_n we_o say_v 1._o that_o it_o be_v equal_a and_o parallel_v unto_o the_o arctic_a 2._o that_o it_o touch_v the_o horizon_n in_o one_o point_n 3._o that_o it_o be_v altogether_o hide_a under_o the_o earth_n the_o variety_n be_v manifold_a according_a to_o the_o didiversitie_n of_o the_o climate_n for_o either_o they_o be_v not_o at_o àll_a as_o in_o a_o right_a sphere_n it_o happen_v where_o exclude_v altogether_o the_o polare_fw-la circle_n the_o greek_n recon_fw-mi 3._o parallel_n only_o or_o else_o they_o be_v and_o those_o sometime_o either_o less_o equal_a or_o great_a than_o the_o tropicke_n or_o else_o they_o be_v equal_a unto_o the_o equator_fw-la and_o the_o horizon_n for_o by_o how_o much_o the_o pole_n shall_v be_v high_o by_o so_o much_o shall_v these_o circle_n be_v great_a the_o office_n and_o use_n of_o the_o arctic_a circle_n be_v in_o that_o it_o show_v the_o star_n that_o never_o arise_v ●nor_n set_v of_o the_o antarcticke_a circle_n the_o con●trary_a be_v to_o be_v conceive_v the_o mean_n of_o their_o description_n be_v by_o those_o star_n that_o in_o any_o region_n do_v touch_v the_o horizon_n of_o the_o milky_a circle_n chap._n 28._o of_o all_o the_o circle_n there_o be_v none_o to_o be_v see_v beside_o the_o milky_a circle_n which_o for_o that_o the_o greek_n do_v recon_fw-mi among_o the_o other_o circle_n we_o will_v express_v the_o name_n the_o definition_n the_o cause_n thereof_o and_o the_o distinct_a star_n which_o make_v the_o same_o the_o name_n be_v diverse_a as_o galaxia_fw-la the_o milky_a orb_n or_o circle_n the_o milky_a zone_n or_o milky_a way_n the_o arabian_n dal_n it_o matarati_n as_o it_o be_v a_o broad_a space_n or_o ark_n that_o move_v it_o be_v define_v to_o be_v one_o of_o the_o great_a circle_n oblique_a draw_v or_o stretch_v towards_o both_o the_o pole_n most_o bright_o shine_v apparent_a unto_o the_o sense_n inequal_a both_o in_o
be_v call_v civil_a or_o natural_a the_o other_o artificial_a in_o the_o civil_a or_o natural_a day_n we_o may_v consider_v the_o definition_n the_o distinction_n and_o the_o cause_n of_o inequality_n the_o definition_n respect_v either_o the_o name_n or_o the_o thing_n itself_o it_o be_v call_v either_o natural_a as_o cause_v by_o the_o natural_a or_o regular_fw-la motion_n of_o the_o whole_a or_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d by_o prolemee_n as_o consist_v of_o the_o night_n and_o day_n together_o or_o else_o civil_a because_o all_o nation_n natural_o do_v term_v it_o a_o day_n the_o definition_n respect_v the_o thing_n be_v that_o according_a to_o which_o it_o be_v define_v to_o be_v the_o space_n of_o 24._o hour_n and_o certain_a minute_n consist_v of_o light_n and_o darkness_n the_o definition_n thereof_o be_v in_o respect_n of_o the_o continuance_n and_o length_n of_o the_o day_n and_o thereof_o one_o be_v call_v inequal_a or_o different_a also_o the_o true_a and_o apparent_a day_n the_o greek_n call_v it_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d irregulare_fw-la another_o the_o equal_a or_o mean_a day_n the_o inequal_a or_o different_a day_n be_v the_o space_n of_o 24._o hour_n and_o so_o many_o minute_n as_o be_v answerable_a unto_o each_o portion_n of_o the_o zodiac_n which_o the_o ☉_o do_v daily_a run_v over_o the_o equal_a or_o indifferent_a day_n be_v the_o space_n of_o 24._o hour_n and_o so_o many_o minute_n as_o be_v answerable_a unto_o the_o quatity_n of_o the_o mean_a motion_n of_o the_o ☉_o in_o one_o day_n which_o be_v 59_o gr_n 8._o mi._n the_o cause_n of_o the_o inequality_n happen_v unto_o the_o true_a natural_a day_n either_o in_o a_o right_n or_o in_o a_o oblique_a sphere_n the_o cause_n of_o the_o inequality_n happen_v in_o a_o right_a sphere_n be_v through_o the_o inequal_a augmentation_n by_o mean_n either_o of_o the_o equinoctial_a ascension_n inequal_o answer_v the_o same_o by_o reason_n of_o the_o obliquity_n of_o the_o zodiac_n orel_n of_o the_o motion_n of_o the_o ☉_o which_o about_o the_o centre_n of_o the_o world_n be_v inequal_a the_o cause_n of_o the_o inqualitye_n of_o the_o day_n happen_v in_o a_o oblique_a sphere_n be_v through_o the_o inequal_a augmentation_n appertein_v either_o to_o the_o equinoctial_a ascension_n inequal_o answer_v the_o same_o by_o reason_n of_o the_o obliquity_n aswell_o of_o the_o horizon_n as_o of_o the_o zodiac_n or_o else_o to_o the_o eccentricke_a circle_n of_o the_o ☉_o wherein_o the_o ☉_o run_v do_v in_o equal_a time_n perform_v a_o inequal_a motion_n the_o artificial_a day_n be_v handle_v in_o the_o chap._n follow_v of_o the_o artificial_a day_n and_o night_n and_o the_o diversity_n belong_v to_o they_o both_o chap._n 37._o the_o ☉_o carry_v about_o by_o the_o first_o motion_n distinguish_v the_o naturaall_a day_n into_o two_o part_n whereof_o the_o one_o be_v call_v the_o artificial_a day_n the_o other_o the_o artificial_a night_n concern_v the_o artificial_a day_n astronomy_n deliver_v the_o definition_n and_o the_o proportion_n thereof_o the_o definition_n contain_v the_o author_n and_o the_o term_n thereof_o the_o author_n of_o the_o artificial_a day_n be_v the_o ☉_o who_o carry_v about_o by_o the_o first_o motion_n describe_v in_o the_o day_n time_n a_o certain_a ark_n the_o term_n be_v either_o from_o whence_o that_o be_v from_o the_o easterlie_fw-mi part_n of_o the_o horizon_n or_o by_o what_o that_o be_v by_o the_o vertical_a meridian_n or_o unto_o what_o that_o be_v unto_o the_o westerly_a part_n of_o the_o horizon_n the_o proportion_n of_o the_o artificial_a day_n be_v deliver_v in_o so_o much_o as_o appertain_v unto_o the_o length_n thereof_o either_o in_o a_o right_a or_o in_o a_o oblique_a sphere_n in_o a_o right_a sphere_n it_o be_v always_o equal_a unto_o it_o self_n and_o to_o the_o night_n by_o reason_n of_o the_o equality_n both_o of_o the_o ascension_n for_o the_o one_o half_a of_o the_o equator_fw-la do_v always_o equal_o ascend_v and_o descend_v with_o six_o sign_n of_o the_o zodiac_n and_o of_o the_o diurnal_a and_o nocturnal_a segment_n in_o a_o oblique_a sphere_n the_o day_n to_o themselves_o and_o to_o the_o night_n be_v either_o equal_a or_o inequal_a the_o day_n be_v equal_a both_o to_o themselves_o and_o to_o the_o night_n in_o the_o equinoctial_a by_o reason_n of_o the_o equality_n both_o of_o the_o ascension_n for_o look_v how_o great_a the_o ascension_n of_o the_o diurnal_a ark_n be_v so_o great_a also_o be_v the_o descension_n of_o the_o nocturnal_a &_o of_o the_o segment_n which_o the_o ☉_o describe_v the_o say_a segment_n be_v incident_a with_o the_o equator_fw-la the_o day_n be_v inequal_a both_o among_o themselves_o and_o to_o the_o night_n when_o the_o ☉_o have_v pass_v the_o equinoctial_a point_n aswell_o by_o reason_n of_o the_o diversity_n of_o the_o ascension_n of_o the_o sign_n as_o also_o by_o reason_n of_o the_o sun_n inequal_a describe_v of_o the_o parallel_n by_o the_o motion_n of_o the_o world_n the_o artificial_a night_n geve_v we_o to_o consider_v the_o definition_n and_o the_o measure_n it_o be_v define_v to_o be_v the_o part_n remain_v of_o the_o natural_a day_n comprehend_v the_o space_n between_o the_o set_n of_o the_o ☉_o and_o the_o rise_n thereof_o the_o measure_n thereof_o be_v either_o equal_a or_o inequal_a the_o equality_n of_o measure_n fall_v out_o in_o the_o right_a sphere_n always_o in_o a_o oblique_a sphere_n two_o time_n in_o the_o year_n the_o inequality_n of_o measure_n have_v notwithstanding_o either_o a_o like_a diversity_n in_o the_o sign_n equidistant_a from_o the_o equator_fw-la or_o alternate_a in_o opposite_a point_n of_o the_o reason_n of_o the_o equal_a and_o inequal_a hour_n chap._n 38._o have_v thus_o set_v down_o the_o description_n of_o the_o day_n it_o fall_v out_o now_o to_o entreat_v of_o their_o part_n common_o call_v hour_n whereof_o we_o must_v consider_v the_o general_a reason_n and_o the_o division_n the_o general_a reason_n attend_v their_o definition_n their_o number_n and_o their_o subdivision_n they_o be_v define_v to_o be_v that_o space_n of_o time_n wherein_o the_o 24._o part_n or_o 15._o gr_n either_o of_o the_o equator_fw-la or_o of_o the_o ecliptic_a do_v full_o arise_v they_o be_v in_o number_n 24._o belong_v unto_o every_o natural_a day_n every_o hour_n be_v subdivide_v into_o 60._o minute_n every_o minute_n into_o 60._o second_n etc._n etc._n the_o division_n of_o the_o hour_n consist_v in_o this_o that_o either_o they_o be_v reckon_v in_o the_o ecliptic_a or_o else_o in_o the_o equator_fw-la those_o that_o be_v take_v in_o the_o ecliptic_a the_o ascension_n whereof_o do_v vary_v be_v call_v inequal_a hour_n whereof_o the_o name_n the_o definition_n and_o the_o number_n be_v to_o be_v note_v they_o be_v call_v natural_a by_o io._n de_fw-la sacro_fw-la bosco_fw-la and_o temporal_a and_o artificial_a and_o planetary_a they_o be_v define_v to_o be_v the_o space_n of_o time_n wherein_o the_o moiety_n of_o a_o sign_n of_o the_o zodiac_n count_v from_o the_o place_n of_o the_o ☉_o or_o the_o opposite_a thereof_o do_v ascend_v their_o number_n be_v as_o much_o by_o day_n as_o by_o night_n for_o 6._o sign_n of_o the_o ecl._n do_v always_o arise_v aswell_o by_o day_n as_o by_o night_n the_o hour_n that_o be_v reckon_v in_o the_o equator_fw-la which_o arise_v uniformelie_o be_v call_v equal_a hour_n whereof_o we_o be_v in_o like_a manner_n to_o note_v the_o name_n the_o definition_n and_o the_o number_n they_o be_v call_v natural_a by_o many_o and_o equinoctial_a hour_n they_o be_v define_v to_o be_v that_o space_n of_o time_n whe●_n in_o 15_o gr_n of_o the_o equator_fw-la do_v full_o arise_v their_o number_n be_v always_o inequal_a save_v in_o the_o 2._o equinoctial_a season_n for_o at_o other_o time_n 6._o sign_n of_o the_o equator_fw-la do_v not_o everye_o day_n complete_o arise_v and_o set_v of_o the_o diverse_a accident_n of_o diverse_a part_n of_o the_o earth_n according_a to_o the_o diverse_a situation_n of_o the_o sphere_n chap._n 39_o the_o situation_n of_o every_o place_n and_o region_n on_o the_o earth_n be_v in_o the_o space_n either_o of_o the_o burn_v or_o temperate_a or_o freeze_a zone_n the_o place_n situate_v in_o the_o burn_a zone_n be_v either_o in_o the_o mean_a space_n or_o between_o mean_a &_o extreme_a or_o in_o the_o extreme_n their_o situation_n that_o be_v in_o the_o mean_a space_n differ_v from_o the_o rest_n 1._o in_o the_o 4._o sort_n of_o shadow_n which_o they_o have_v viz._n septentrional_a meridional_a oriental_a and_o occidental_a 2._o in_o their_o 4._o solstice_n which_o they_o have_v two_o be_v high_a in_o ♈_o &_o ♎_o and_o two_o low_a in_o ♋_o &_o ♑_o 3._o in_o their_o continual_a equinoctialle_n 4._o in_o their_o two_o winter_n and_o two_o somers_n those_o that_o have_v their_o
do_v ascend_v therewith_o and_o then_o it_o be_v say_v to_o have_v a_o oblique_a ascension_n by_o reason_n of_o the_o more_o oblique_a angle_n that_o it_o make_v with_o the_o horizon_n the_o culmination_n be_v define_v either_o the_o pass_v of_o some_o point_n of_o the_o zodiac_n or_o of_o the_o world_n by_o the_o meridian_n circle_n or_o else_o the_o degree_n of_o the_o equator_fw-la which_o with_o the_o portion_n of_o the_o zodiac_n give_v pass_v through_o the_o meridian_n the_o set_n of_o a_o sign_n or_o of_o any_o point_n of_o the_o heaven_n offer_v 2._o thing_n unto_o our_o consideration_n the_o definition_n and_o the_o diversity_n thereof_o the_o definition_n be_v either_o according_a to_o the_o name_n or_o according_a to_o the_o matter_n according_a to_o to_o the_o name_n it_o be_v call_v the_o descension_n or_o set_n which_o we_o measure_v by_o the_o ark_n of_o the_o equator_fw-la descend_v therewith_o according_a to_o the_o matter_n it_o be_v define_v to_o be_v the_o ark_n of_o the_o equator_fw-la comprehend_v between_o the_o sign_n or_o point_n set_v and_o the_o head_n of_o ♈_o the_o consideration_n of_o the_o diversity_n of_o set_v be_v either_o that_o a_o great_a part_n of_o the_o equator_fw-la descend_v with_o the_o sign_n or_o point_n of_o the_o heaven_n and_o then_o it_o be_v say_v to_o have_v a_o right_n or_o along_o and_o slow_a descension_n or_o else_o that_o a_o less_o portion_n of_o the_o equator_fw-la setterh_fw-mi therewith_o and_o then_o it_o be_v say_v to_o have_v a_o oblique_a or_o a_o short_a and_o swift_a descension_n of_o the_o diversity_n of_o ascension_n descension_n and_o culmination_n in_o a_o right_a sphere_n chap._n 34._o the_o zodiac_n in_o a_o right_a sphere_n be_v fit_v unto_o the_o equal_a conversion_n of_o the_o equator_fw-la and_o together_o with_o the_o part_n thereof_o pass_v by_o the_o east_n or_o the_o west_n or_o the_o midst_n of_o heaven_n both_o in_o the_o quadrant_n or_o quarter_n and_o in_o the_o sign_n the_o quadrant_n in_o equal_a space_n of_o time_n do_v ascend_v and_o descend_v or_o do_v pass_v through_o the_o midst_n of_o heaven_n begin_v either_o at_o the_o solstitial_a point_n namely_o at_o the_o head_n of_o ♋_o &_o ♑_o and_o count_v to_o the_o end_n of_o ♍_o &_o ♓_o or_o else_o beginning_n at_o the_o equinoctial_a point_n which_o be_v the_o head_n of_o ♈_o &_o ♎_o and_o count_v to_o the_o end_n of_o ♊_o &_o ♐_o the_o sign_n apply_v unto_o the_o motion_n of_o the_o equinoctial_a be_v consider_v either_o whole_a or_o in_o part_n the_o sign_n consider_v whole_o have_v relation_n either_o unto_o the_o equator_fw-la or_o unto_o the_o zodiac_n the_o sign_n in_o their_o relation_n unto_o the_o equator_fw-la do_v ascend_v inequal_o for_o some_o of_o they_o do_v rise_v right_o and_o some_o oblique_o those_o that_o have_v right_a ascension_n be_v ♊_o ♋_o ♐_o ♑_o with_o the_o which_o there_o do_v coascende_v 32._o gr_n 11._o mi._n of_o the_o equator_fw-la those_o that_o have_v oblique_a ascension_n be_v ♈_o ♎_o ♓_o ♍_o wherewith_o there_o do_v coascende_v 27._o gr_n 54._o mi._n of_o the_o equator_fw-la and_o ♉_o ♏_o ♌_o ♒_o wherewith_o there_o arise_v 29._o gr_n 54._o mi._n thereof_o the_o sign_n in_o their_o relation_n unto_o the_o zodiac_n or_o consider_v several_o apart_o have_v ascension_n either_o equal_a or_o inequal_a one_o unto_o another_o they_o have_v equal_a ascension_n that_o come_v forth_o in_o equal_a time_n and_o they_o be_v either_o opposite_a in_o the_o diameter_n or_o equal_o distant_a from_o the_o equinoctial_a point_n as_o be_v ♓_o ♈_o ♒_o ♉_o ♑_o ♊_o ♐_o ♋_o ♏_o ♌_o ♎_o ♍_o they_o have_v inequal_a ascension_n that_o neither_o be_v opposite_a nor_o equal_o distant_a from_o the_o aforesaid_a point_n the_o sign_n consider_v in_o their_o part_n have_v also_o relation_n either_o unto_o the_o equator_fw-la or_o unto_o the_o zodiac_n the_o part_n have_v relation_n unto_o the_o equator_fw-la do_v as_o before_o ascend_v inequal_o and_o that_o either_o right_o or_o oblique_o the_o part_n have_v right_a ascension_n be_v comprehend_v within_o the_o four_o sign_n next_o unto_o the_o 2._o solstitialle_n the_o part_n have_v oblique_a ascension_n be_v contain_v within_o the_o sign_n next_o unto_o the_o equinoctial_a point_n on_o each_o side_n those_o part_n of_o the_o sign_n that_o have_v relation_n unto_o the_o zodiac_n have_v their_o ascension_n partly_o equal_a and_o partly_o inequal_a part_n have_v equal_a ascension_n be_v these_o the_o first_o degree_n be_v equal_a unto_o the_o first_o degree_n of_o the_o opposite_a sign_n and_o the_o first_o degree_n unto_o the_o last_o of_o another_o sign_n equidistant_a from_o the_o equinoctial_a point_n part_n have_v inequal_a ascension_n be_v those_o in_o who_o neither_o opposition_n fall_v out_o nor_o equidistancie_n of_o the_o diversity_n of_o ascension_n and_o descension_n in_o a_o oblique_a sphere_n chap._n 35._o in_o the_o oblique_a situation_n of_o the_o sphere_n we_o consider_v either_o the_o proportion_n of_o the_o ascension_n or_o of_o the_o descension_n of_o the_o zodiac_n the_o ascension_n be_v compare_v and_o apply_v either_o unto_o the_o equator_fw-la or_o one_o with_o another_o or_o unto_o the_o ascension_n of_o a_o right_a sphere_n be_v compare_v unto_o the_o equator_fw-la they_o be_v either_o equal_a or_o inequal_a unto_o the_o ascension_n thereof_o in_o their_o equality_n they_o be_v number_v either_o in_o the_o northern_a semicircle_n from_o the_o head_n of_o ♈_o unto_o the_o end_n of_o ♍_o or_o from_o the_o head_n of_o ♎_o unto_o the_o end_n of_o ♓_o in_o their_o inequality_n they_o be_v reckon_v either_o in_o the_o whole_a semicircle_n begin_v not_o in_o the_o equinoctial_a point_n but_o else_o where_o or_o else_o the_o reckon_n be_v make_v in_o some_o of_o their_o part_n in_o their_o comparison_n one_o with_o another_o they_o be_v either_o equal_a or_o inequal_a when_o they_o be_v equal_a they_o be_v reckon_v in_o some_o 2._o concordant_a arke_n of_o the_o ecliptic_a as_o in_o ♈_o ♓_o 14._o gr_n 50._o mi._n ♉_o ♒_o 18._o gr_n 51._o mi._n ♊_o ♑_o 27_o gr_n 16._o mi._n ♋_o ♐_o 36._o gr_n 58._o mi._n ♌_o ♏_o 40._o gr_n 57_o mi._n ♍_o ♎_o 40._o gr_n 58._o mi._n in_o the_o latitude_n of_o 40._o gr_n when_o they_o be_v inequal_a they_o be_v reckon_v either_o in_o part_n not_o equidistant_a or_o in_o the_o semicircle_n either_o ascendent_n or_o descendent_a the_o semicircle_n ascendent_a be_v from_o the_o head_n of_o ♑_o unto_o the_o end_n of_o ♊_o and_o that_o ascend_v more_o oblique_a and_o swift_a the_o descendent_a semicircle_n be_v from_o the_o head_n of_o ♋_o unto_o the_o end_n of_o ♐_o &_o it_o ascend_v more_o right_a and_o slow_a when_o the_o ascension_n be_v compare_v unto_o the_o ascension_n in_o a_o right_a sphere_n they_o be_v either_o less_o or_o more_o oblique_a or_o great_a or_o right_a than_o the_o say_a ascension_n in_o a_o right_a sphere_n the_o less_o or_o more_o oblique_a fall_n out_o in_o the_o north_n semicircle_n the_o great_a or_o more_o right_a happen_v in_o the_o south_n semicircle_n the_o distance_n between_o the_o ascension_n of_o each_o sphere_n be_v call_v the_o difference_n of_o ascension_n the_o descension_n of_o the_o zodiac_n be_v unto_o the_o ascension_n thereof_o either_o equal_a or_o inequal_a they_o be_v equal_a either_o in_o regard_n of_o the_o moity_n of_o the_o ecliptic_a comprehend_v between_o the_o equinoctial_a point_n or_o else_o according_a to_o the_o equidistant_n or_o opposite_a part_n of_o the_o zodiac_n the_o descension_n of_o the_o zodiac_n be_v inequal_a be_v compare_v either_o unto_o the_o right_a sphere_n or_o unto_o the_o same_o climate_n the_o descension_n of_o a_o oblique_a sphere_n be_v more_o oblique_a than_o the_o descension_n of_o a_o right_a sphere_n whereunto_o they_o be_v compare_v when_o as_o the_o ascension_n in_o a_o oblique_a sphere_n be_v more_o right_a than_o in_o a_o right_a sphere_n the_o descension_n of_o a_o oblique_a sphere_n be_v more_o right_a than_o the_o descension_n of_o a_o right_a sphere_n when_o as_o the_o ascension_n in_o a_o oblique_a sphere_n be_v more_o oblique_a then_o in_o a_o right_a sphere_n the_o inequal_a descension_n of_o the_o zodiac_n compare_v unto_o the_o same_o climate_n be_v to_o be_v note_v either_o in_o the_o part_n of_o the_o zodiac_n which_o descend_v oblique_a do_v rise_v right_a such_o as_o be_v the_o part_n of_o the_o descend_a semicircle_n or_o else_o in_o the_o part_n of_o the_o zodiac_n which_o descend_v right_o do_v rise_v oblique_a and_o such_o be_v the_o part_n of_o the_o ascend_a semicircle_n of_o the_o natural_a day_n and_o of_o the_o inequality_n and_o difference_n thereof_o chap._n 36._o out_o of_o the_o premise_n we_o may_v not_o unfit_o derive_v some_o matter_n concern_v the_o day_n whereof_o there_o be_v two_o sort_n the_o one_o