Selected quad for the lemma: day_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
day_n degree_n hour_n longitude_n 5,383 5 13.5790 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A03576 The vse of both the globes, celestiall, and terrestriall most plainely deliuered in forme of a dialogue. Containing most pleasant, and profitable conclusions for the mariner, and generally for all those, that are addicted to these kinde of mathematicall instrumentes. VVritten by T. Hood mathematicall lecturer in the citie of London, sometime fellow of Trinitie Colledge in Cambridge. Hood, Thomas, fl. 1582-1598. 1592 (1592) STC 13698; ESTC S106231 107,894 188

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which_o the_o sun_n do_v possess_v or_o upon_o any_o place_n of_o the_o globe_n have_v a_o latitude_n answerable_a to_o the_o declination_n of_o that_o degree_n which_o the_o sun_n do_v possess_v then_o turn_v the_o globe_n towards_o the_o sun_n &_o the_o gnomon_n be_v right_o against_o he_o will_v cast_v no_o shadow_n or_o otherwise_o bring_v the_o gnomon_n close_o to_o the_o meridian_n and_o there_o set_v it_o fast_o until_o noon_n for_o then_o the_o sun_n will_v fall_v so_o just_a upon_o the_o point_n of_o the_o gnomon_n that_o it_o will_v yield_v no_o shadow_n p._n what_o be_v they_o who_o you_o call_v amphiscij_fw-la m._n they_o be_v such_o as_o have_v a_o shadow_n fall_v two_o several_a way_n one_o while_o to_o the_o northward_o and_o another_o while_n to_o the_o southward_n these_o dwell_v within_o the_o two_o tropicke_n as_o you_o may_v perceive_v by_o the_o terrestrial_a globe_n this_o you_o know_v stand_v with_o reason_n &_o common_a sense_n prove_v it_o true_a that_o the_o 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instrument_n belong_v to_o the_o globe_n now_o you_o may_v take_v wh●●●_n course_n you_o please_v for_o the_o circle_n and_o their_o use_n either_o si●●plie_n alone_o or_o joint_o together_o or_o as_o they_o crave_v the_o hel●_n of_o these_o instrument_n p._n i_o must_v needs_o confess_v my_o ignorance_n in_o the_o 〈◊〉_d matter_n to_o be_v great_a and_o therefore_o i_o be_o willing_a to_o ta●●_n the_o more_o pain_n i_o pray_v you_o give_v i_o leave_v to_o ask_v wh●●●_n i_o think_v good_a and_o i_o will_v take_v the_o globe_n unto_o i_o and_o begin_v with_o the_o equator_fw-la follow_v from_o one_o to_o one_o u●_n till_o i_o have_v run_v they_o over_o all_o you_o say_v that_o the_o equator_fw-la be_v a_o great_a circle_n lie_v just_a in_o the_o midst_n between_o th●_n two_o pole_n therefore_o first_o i_o conclude_v this_o that_o the_o po●●_n of_o the_o world_n be_v the_o pole_n of_o the_o equator_fw-la as_o for_o the_o degree_n of_o the_o equator_fw-la i_o see_v that_o they_o be_v 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to_o the._n 10._o sphere_n will_v light_v upon_o that_o circle_n in_o the_o which_o the_o sun_n be_v say_v to_o be_v wherefore_o to_o return_v to_o my_o former_a speech_n when_o soever_o the_o sun_n be_v 〈◊〉_d that_o be_v to_o say_v underneath_o this_o circle_n the_o day_n and_o the_o night_n through_o out_o the_o world_n be_v equal_a wheresoeu●_n the_o sun_n rise_v &_o set_v within_o the_o space_n of_o 24._o hour_n and_o therefore_o it_o be_v call_v the_o equator_fw-la the_o graecian_a call_v it_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d which_o word_n for_o word_n may_v be_v team_v the_o equidiall_n but_o the_o latin_n follow_v the_o pleasantness_n of_o the_o word_n have_v choose_v rather_o the_o equinoctial_a derive_v the_o name_n from_o the_o night_n &_o not_o from_o t●_n day_n as_o the_o grecian_n do_v this_o circle_n be_v also_o term_v 〈◊〉_d girdle_n of_o the_o world_n in_o regard_n that_o it_o possess_v the_o middle_a place_n between_o the_o pole_n as_o a_o girdle_n on_o the_o body_n a_o man_n the_o seafaring_a man_n for_o the_o excellent_a use_n there_o do_v call_v it_o the_o line_n p._n in_o that_o this_o circle_n lie_v in_o the_o midst_n between_o the_o two_o pole_n what_o have_v i_o to_o note_v thereby_o m._n hereby_o the_o globe_n be_v divide_v into_o 2._o halfa_n which_o we_o call_v hemisphere_n whereof_o the_o one_o be_v the_o no●_n hemisphere_n from_o the_o equator_fw-la to_o the_o northpole_n the_o oth●●_n be_v the_o south_n item_n the_o equator_fw-la lie_v as_o it_o do_v be_v the_o begin_n of_o all_o declination_n whensoever_o therefore_o you_o sh●_n hear_v hereafter_o of_o the_o declination_n of_o the_o star_n of_o 〈◊〉_d declination_n of_o the_o sun_n or_o of_o the_o sign_n it_o must_v be_v coun●●●_n from_o this_o circle_n and_o whatsoever_o be_v precise_o in_o or_o un●_n this_o circle_n have_v no_o declination_n last_o of_o all_o in_o that_o the_o 〈◊〉_d quator_fw-la lie_v just_a in_o the_o midst_n between_o the_o two_o pol●●_n of_o the_o world_n we_o be_v to_o note_v this_o that_o it_o must_v need_n move_v uniformal_o according_a to_o the_o motion_n of_o the_o heaven_n at_o no_o time_n fast_o than_o at_o a_o other_o but_o look_v how_o many_o degree_n thereof_o arise_v &_o set_v in_o one_o hour_n so_o many_o degree_n arise_v and_o set_v in_o every_o other_o hour_n as_o you_o you_o self_n may_v prove_v hereafter_o and_o therefore_o as_o i_o say_v it_o be_v th●_n measure_n and_o rule_v of_o all_o time_n thus_o much_o concern_v th●_n equator_fw-la simple_o consider_v in_o itself_o p._n in_o the_o ecliptic_a for_o that_o be_v the_o next_o i_o thin●●th_o there_o do_v many_o doubt_n arise_v you_o define_v it_o to_o be_v a_o great_a mooveable_a circle_n of_o the_o globe_n cut_v the_o equinoctial_a at_o oblique_a angle_n and_o decline_v from_o it_o 2d_o d._n 30_o m._n toward_o each_o pole_n of_o the_o world_n therefore_o by_o your_o general_n rule_v set_v down_o before_o concern_v the_o pole_n of_o the_o great_a circle_n i_o may_v conclude_v 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that_o whatsoever_o be_v distant_a from_o this_o circle_n either_o towards_o the_o one_o pole_n or_o towards_o the_o other_o be_v say_v to_o have_v a_o latitude_n as_o you_o shall_v see_v hereafter_o and_o whatsoever_o be_v in_o or_o under_o it_o have_v no_o latitude_n p._n then_o belike_o the_o sun_n never_o have_v any_o latitude_n for_o as_o you_o say_v even_o now_o the_o sun_n never_o swerve_v from_o the_o ecliptic_n line_n m._n you_o say_v true_a this_o circle_n also_o serve_v for_o the_o longitude_n of_o all_o star_n or_o what_o soever_o else_o be_v call_v in_o question_n in_o the_o heaven_n the_o which_o longitude_n how_o it_o be_v to_o be_v find_v i_o will_v declare_v unto_o you_o hereafter_o it_o serve_v also_o for_o the_o eclipse_n of_o the_o sun_n or_o moon_n as_o you_o may_v gather_v by_o the_o name_n for_o there_o be_v no_o eclipse_n but_o wh●●_n the_o sun_n or_o moon_n be_v both_o precise_o in_o or_o very_o near_o unto_o this_o circle_n to_o conclude_v whensoever_o there_o be_v a_o question_n move_v of_o the_o rise_n or_o set_v or_o any_o other_o thing_n else_o concern_v the_o sun_n we_o must_v have_v recou●●_n to_o this_o circle_n because_o it_o represent_v as_o i_o say_v even_o not_o the_o progress_n of_o the_o sun_n and_o there_o be_v no_o day_n but_o th●_n sun_n possess_v one_o degree_n or_o a_o other_o of_o this_o circle_n the_o which_o degree_n must_v always_o be_v seek_v out_o whensever_fw-fr there_o be_v any_o conclusion_n to_o be_v wrought_v concern_v the_o sun_n or_o the_o place_n of_o the_o sun_n p._n be_v the_o degree_n of_o the_o circle_n as_o many_o as_o the_o degree_n of_o the_o equator_fw-la m._n i_o tell_v you_o
be_v there_o any_o excellent_a thing_n to_o be_v gather_v by_o the_o meridian_n altitude_n of_o the_o sun_n or_o star_n m._n yea_o for_o it_o bring_v we_o to_o the_o elevation_n of_o the_o pole_n for_o consider_v that_o each_o several_a elevation_n of_o the_o pole_n have_v a_o several_a and_o peculiar_a elevation_n of_o the_o sun_n or_o star_n therefore_o by_o it_o we_o may_v know_v the_o elevation_n of_o the_o pole_n if_o the_o elevation_n of_o the_o sun_n or_o star_n be_v equal_a to_o the_o complement_n of_o their_o declination_n then_o be_v we_o just_a under_o the_o equator_fw-la and_o both_o the_o pole_n be_v in_o the_o horizon_n if_o the_o elevation_n be_v equal_a to_o their_o declination_n then_o be_v we_o just_a under_o the_o pole_n the_o other_o elevation_n of_o the_o pole_n be_v find_v by_o addition_n or_o subduction_n ●n_o this_o manner_n if_o the_o sun_n or_o star_n decline_v towards_o the_o pole_n elevate_v the_o declination_n be_v subduct_v from_o the_o meridian_n altitude_n leave_v the_o height_n of_o the_o equator_fw-la which_o be_v always_o the_o complement_n of_o the_o elevation_n of_o the_o pole_n therefore_o if_o you_o take_v the_o height_n of_o the_o equator_fw-la from_o 90._o you_o have_v the_o elevation_n of_o the_o pole_n if_o the_o sun_n or_o star_n decline_v from_o the_o pole_n elevate_v their_o declination_n add_v to_o the_o meridian_n altitude_n geve_v the_o height_n of_o the_o equator_fw-la and_o consequent_o the_o height_n of_o the_o pole_n p._n but_o what_o if_o the_o sun_n or_o star_n have_v no_o declination_n m._n then_o be_v this_o a_o general_a rule_n that_o the_o sun_n o●_n star_n be_v then_o in_o the_o equator_fw-la and_o therefore_o the_o meridian_n altitude_n express_v the_o height_n of_o the_o equator_fw-la which_o be_v subduct_v from_o 90_o geve_v the_o pole_n thus_o much_o concern_v the_o meridian_n altitude_n of_o the_o sun_n or_o starr●_n the_o intermeridian_n altitude_n be_v the_o distance_n of_o the_o sun_n or_o star_n from_o the_o horizon_n when_o they_o be_v in_o some_o other_o place_n of_o heaven_n and_o not_o in_o the_o meridian_n this_o altitude_n be_v either_o antemeridian_n or_o postmeridian_n the_o antemeridian_n altitude_n be_v the_o distance_n of_o the_o sun_n or_o star_n from_o the_o horizon_n at_o any_o time_n before_o noon_n the_o post_n meridian_n altitude_n be_v the_o distance_n of_o the_o sun_n or_o starr●_n from_o the_o horizon_n after_o noon_n and_o for_o so_o much_o as_o th●_n sun_n or_o star_n by_o their_o proper_a motion_n make_v but_o sma●_n difference_n in_o their_o place_n so_o that_o it_o can_v sensible_o be_v perceave_v in_o the_o after_o noon_n a_o that_o they_o have_v move_v from_o that_o place_n wherein_o they_o be_v in_o the_o forenoon_n therefore_o we_o say_v that_o the_o antemeridian_n &_o postmeridian_n altitude_n of_o the_o sun_n or_o star_n be_v all_o one_o this_o be_v suppose_v that_o they_o be_v equal_o distant_a from_o the_o meridian_n 〈◊〉_d search_v out_o the_o antemeridian_n or_o postmeridian_n altitude_n of_o the_o sun_n or_o star_n the_o rule_n be_v all_o one_o with_o that_o general_a rule_n which_o i_o give_v you_o before_o so_o that_o the_o sun_n o●_n star_n be_v suppose_v to_o be_v in_o any_o place_n above_o the_o horizon_n bet_v ween_v it_o and_o the_o meridan_n p._n but_o put_v case_n that_o i_o do_v not_o suppose_v the_o sun_n or_o star_n to_o be_v in_o any_o place_n may_v not_o i_o find_v out_o b●_n the_o globe_n their_o certain_a and_o true_a altitude_n which_o the_o have_v in_o heaven_n m._n this_o you_o must_v understand_v that_o some_o thing_n ar●_n find_v out_o immediate_o some_o thing_n mediate_o by_o certain_a mean_n if_o the_o sun_n shine_v he_o will_v bewray_v his_o own_o height_n by_o the_o help_n of_o the_o spherical_a gnomon_n but_o the_o height_n of_o the_o star_n can_v so_o be_v find_v out_o for_o they_o require_v the_o knowledge_n of_o the_o hour_n or_o some_o other_o such_o like_a thing_n as_o you_o shall_v perceive_v hereafter_o p._n tell_v i_o then_o how_o shall_v i_o find_v the_o height_n of_o the_o sun_n by_o the_o spherical_a gnomon_n m._n rectify_v your_o globe_n perfect_o in_o the_o open_a air_n where_o the_o sun_n shine_v so_o that_o it_o may_v stand_v precise_o north_n and_o south_n and_o that_o the_o horizon_n be_v level_a and_o the_o pole_n raise_v as_o it_o be_v convenient_a set_v your_o spherical_a gnomon_n upon_o the_o place_n of_o the_o sun_n on_o the_o east_n or_o west_n side_n of_o the_o globe_n according_a as_o the_o time_n require_v and_o turn_v the_o globe_n to_o and_o fro_o until_o the_o gnomon_n geve_v no_o shadow_n they_o if_o you_o fasten_v the_o globe_n that_o it_o move_v not_o &_o bring_v the_o quadrant_a of_o altitude_n over_o the_o place_n of_o the_o sun_n the_o degree_n thereof_o intercept_v between_o the_o place_n of_o the_o sun_n &_o the_o horizon_n will_v express_v the_o true_a height_n of_o the_o sun_n thus_o much_o concern_v the_o altitude_n of_o the_o 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climate_n with_o their_o limit_n etc._n etc._n as_o you_o see_v it_o set_v down_o in_o the_o front_n thereof_o g_o by_o this_o table_n as_o also_o by_o the_o globe_n you_o may_v gather_v philomathes_n the_o whole_a difference_n of_o time_n from_o the_o begin_n of_o the_o first_o climate_n to_o the_o last_o to_o be_v 4._o hour_n and_o a_o half_a but_o the_o diversity_n of_o the_o height_n of_o the_o pole_n be_v 42._o d._n 49._o m_o the_o breadth_n of_o they_o according_a to_o ptolemee_n be_v 2359._o mile_n ⅜_n but_o according_a to_o our_o account_n that_o ascribe_v to_o every_o degree_n of_o a_o great_a circle_n 60_o mile_n it_o amount_v unto_o 2569._o mile_n the_o other_o thing_n which_o may_v be_v say_v concern_v the_o climate_n as_o that_o the_o begin_n of_o the_o one_o climate_n be_v the_o end_n of_o the_o other_o and_o that_o the_o climate_n next_o unto_o the_o equator_fw-la be_v great_a than_o those_o which_o be_v further_a of_o etc._n etc._n i_o leave_v they_o to_o your_o own_o 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neve●_n change_v for_o than_o if_o the_o first_o day_n in_o the_o year_n be_v su●day_n the_o last_o day_n will_v be_v saturday_n and_o the_o first_o day_n 〈◊〉_d the_o next_o year_n continual_o will_v be_v sunday_n again_o an●_n a_o will_v still_o be_v the_o dominical_a letter_n but_o in_o respect_n 〈◊〉_d the_o odd_a day_n it_o fall_v so_o out_o in_o every_o common_a year_n that_o the_o year_n begin_v and_o end_v with_o the_o same_o day_n as_o if_o the_o first_o of_o january_n be_v sunday_n the_o last_o of_o decembe●_n that_o year_n be_v sunday_n also_o the_o first_o of_o the_o next_o year_n be_v monday_n the_o dominical_a letter_n must_v needs_o change_v and_o be_v a_o it_o become_v g_z thus_o much_o shall_v suffice_v for_o that_o matter_n p._n in_o that_o space_n where_o the_o number_n of_o the_o day_n be_v express_v i_o note_v certain_a letter_n to_o be_v write_v name_v k._n n._n and_o i._o to_o what_o use_n serve_v they_o m._n they_o signify_v the_o manner_n which_o the_o ancient_a 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draw_v a_o other_o day_n from_o february_n and_o join_v it_o 〈◊〉_d his_o month_n august_n to_o the_o end_n that_o it_o may_v not_o be_v ●●●rior_a to_o julie_n in_o the_o number_n of_o day_n p._n have_v these_o name_n of_o the_o month_n continue_v ●●●m_v the_o first_o beginning_n m._n no._n for_o the_o month_n of_o julie_n because_o it_o be_v the_o five_o from_o march_n be_v call_v in_o old_a time_n quintilis_n and_o august_n be_v the_o sixth_o be_v call_v sextilis_n moreover_o domitianus_n germanicus_n emperor_n of_o rome_n ●●●nged_v the_o name_n of_o september_n and_o call_v it_o ger●●●nicus_n because_o in_o that_o month_n he_o overthrewe_v the_o germans_n he_o change_v also_o the_o name_n of_o october_n and_o call_v it_o domitianus_n after_o his_o own_o name_n but_o after_o his_o decease_n those_o two_o month_n receive_v their_o ancient_a name_n again_o p._n what_o be_v the_o reason_n of_o these_o name_n m._n the_o month_n of_o januarie_n have_v his_o name_n of_o 〈◊〉_d latin_a word_n 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the_o mother_n of_o aeneas_n from_o who_o 〈◊〉_d roman_n fetch_v their_o descent_n the_o grecian_n call_v her_o 〈◊〉_d phrodite_n to_o signify_v that_o she_o be_v breed_v of_o the_o foam_v the_o sea_n which_o be_v by_o they_o call_v aphro_n and_o from_o the●●_n they_o fetch_v the_o name_n of_o this_o month_n strike_v out_o the●_n call_v it_o april_v as_o it_o be_v aphrill_a but_o varro_n think_v it_o more_o convenient_a to_o derive_v the_o name_n from_o the_o la●●_n word_n aperio_fw-la which_o signify_v to_o open_v because_o the_o ea●●_n begin_v then_o to_o be_v free_a from_o the_o bind_a force_n of_o 〈◊〉_d frost_n and_o to_o send_v forth_o the_o grass_n and_o other_o fruit_n 〈◊〉_d
month_n of_o may_n have_v his_o name_n derive_v sundry_a way●_n some_o will_v have_v it_o take_v from_o the_o word_n maius_n that_o 〈◊〉_d jupiter_n other_o derive_v it_o from_o the_o goddess_n maiest●●_n daughter_n as_o the_o poet_n will_v have_v of_o honour_n and_o re●●rence_n because_o in_o this_o month_n the_o first_o worship_n of_o the●●_n ●●ds_v begin_v other_o take_v the_o name_n from_o maia_n the_o 〈◊〉_d of_o vulcan_n unto_o who_o vulcan_n high_a priest_n 〈◊〉_d sacrifice_n in_o the_o kalend_n of_o may_n which_o be_v the_o first_o of_o 〈◊〉_d month_n other_o say_v this_o month_n be_v so_o call_v of_o ●●●ia_fw-la the_o daughter_n of_o atlas_n and_o mother_n of_o mercury_n 〈◊〉_d of_o merchant_n because_o in_o this_o month_n the_o mer●●●ts_n offer_v sacrifice_n to_o mercury_n and_o maia_n last_o of_o 〈◊〉_d i_o affirm_v that_o in_o this_o month_n romulus_n divide_v 〈◊〉_d people_n of_o rome_n in_o maiores_fw-la &_o minores_fw-la that_o be_v 〈◊〉_d the_o elder_a and_o young_a sort_n hinc_fw-la sva_fw-la maiores_fw-la tri●●●e_fw-la vocabula_fw-la maio._n so_o that_o this_o month_n receive_v 〈◊〉_d ●ame_n from_o the_o maiores_fw-la that_o be_v the_o elder_a sort_n 〈◊〉_d have_v his_o name_n also_o derive_v from_o sundry_a thing_n ●●e_v fetch_v the_o name_n from_o junius_n brutus_n by_o who_o ●●quinius_fw-la and_o the_o name_n of_o the_o king_n be_v expulse_v ●●me_n other_o derive_v the_o name_n from_o juno_n moneta_n 〈◊〉_d who_o for_o her_o good_a admonition_n and_o counsel_n in_o ●●●ng_v the_o fearful_a earthquake_n at_o rome_n the_o romance_n ●●cated_v a_o chapel_n the_o first_o of_o this_o month_n so_o that_o the_o ●●●eth_v be_v call_v junonius_n and_o afterward_o junius_n to_o ●●de_v the_o length_n of_o the_o word_n other_o call_v it_o june_n a_o ●●●endo_fw-la of_o join_v because_o in_o this_o month_n the_o ro●●es_n and_o sabine_n be_v join_v together_o in_o one_o city_n ●●ers_n take_v it_o from_o iwenta_fw-la the_o goddess_n of_o youth_n 〈◊〉_d wife_n of_o hercules_n ovid_n write_v thus_o junius_n a_o ●●●num_fw-la nomine_fw-la dictus_fw-la adest_fw-la that_o as_o may_n be_v deri●●_n from_o the_o maiores_fw-la that_o be_v the_o elder_a sort_n so_o june_n ●●ld_v be_v derive_v from_o the_o minores_fw-la that_o be_v the_o young_a 〈◊〉_d julie_n be_v derive_v from_o julius_n caesar_n who_o be_v bear_v 〈◊〉_d be_v month_n it_o be_v first_o call_v quintilis_n as_o i_o say_v ●●re_o august_n take_v his_o denomination_n from_o augu●●●_n because_o in_o that_o month_n he_o great_o augment_v the_o empire_n of_o rome_n and_o come_v three_o time_n triumph_v 〈◊〉_d the_o city_n september_n be_v so_o call_v because_o it_o be_v septi●●●_n a_o vere_n the_o seven_o from_o the_o spring_n time_n at_o which_o 〈◊〉_d as_o i_o note_v before_o the_o ancient_a roman_n begin_v t●●_n month_n likewise_o october_n be_v the_o eight_o novem●●●_n the_o nine_o december_n the_o ten_o from_o the_o spring_n t●●_n you_o hear_v the_o reason_n why_o every_o month_n be_v call_v by_o 〈◊〉_d name_n the_o great_a space_n which_o be_v next_o to_o the_o name●●_n the_o month_n contain_v the_o name_n of_o certain_a day_n the_o which_o those_o that_o be_v write_v in_o the_o great_a rom●_n letter_n be_v the_o name_n of_o the_o festival_n day_n observe_v 〈◊〉_d the_o church_n of_o england_n p._n what_o be_v the_o general_a use_n of_o place_v the_o sig●●_n and_o the_o month_n in_o the_o horizon_n m._n they_o serve_v to_o this_o purpose_n the_o day_n b●_n give_v to_o find_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a that_o be_v what_o sign_n of_o the_o ecliptic_a and_o what_o degre●●_n every_o sign_n he_o do_v possess_v with_o his_o entrance_n into_o 〈◊〉_d sign_n and_o contrariwise_o the_o degree_n which_o the_o su●_n possess_v be_v know_v and_o the_o sign_n to_o find_v the_o 〈◊〉_d of_o the_o month_n the_o which_o thing_n be_v very_o necessary_a the_o use_n of_o the_o globe_n for_o many_o question_n can_v e●●_n be_v answer_v except_o the_o place_n of_o the_o sun_n be_v know●_n the_o day_n therefore_o of_o the_o month_n be_v find_v out_o in_o 〈◊〉_d horizon_n the_o degree_n which_o stand_v right_a against_o 〈◊〉_d day_n be_v the_o place_n of_o the_o sun_n but_o consider_v that_o in_o 〈◊〉_d leap_v year_n there_o be_v a_o day_n more_o than_o in_o the_o other_o th●_n year_n that_o go_v before_o it_o and_o that_o day_n be_v put_v in_o 〈◊〉_d way_n immediate_o after_o the_o 24._o of_o february_n theref●●●_n in_o that_o year_n after_o the_o foresay_a 24._o day_n of_o februa●●_n if_o you_o seek_v the_o place_n of_o the_o sun_n you_o shall_v add_v 〈◊〉_d day_n more_o than_o the_o number_n of_o the_o day_n be_v in_o w●●_n ●●u_fw-la seek_v the_o place_n of_o the_o sun_n as_o for_o example_n if_o ●●u_n seek_v it_o the_o eight_o and_o twentieth_o of_o february_n you_o 〈◊〉_d all_o take_v the_o first_o of_o march_n and_o if_o you_o seek_v it_o 〈◊〉_d first_o of_o march_n you_o shall_v take_v the_o second_o of_o ●●rche_n etc._n etc._n for_o so_o shall_v you_o come_v near_a to_o the_o ●●●th_o p._n why_o then_o do_v not_o this_o table_n afford_v the_o pre●●●●_n place_n of_o the_o sun_n m._n no_o but_o it_o be_v do_v to_o help_v the_o novice_n in_o astronomy_n until_o he_o attain_v unto_o far_a know●●ge_n in_o that_o art_n and_o this_o be_v sufficient_a for_o he_o be●●●se_n in_o common_a practice_n he_o shall_v never_o by_o sense_n find_v ●●ifference_n between_o this_o and_o the_o exact_a place_n of_o the_o ●●nne_n p._n what_o mean_v the_o name_n of_o the_o month_n that_o ●●owe_v how_o chance_v it_o that_o they_o be_v twice_o set_v ●●wne_n m._n the_o first_o of_o they_o be_v the_o new_a reform_a al●●nacke_n of_o the_o roman_n proclaim_v by_o gregory_n pope_n 〈◊〉_d rome_n the_o other_o be_v that_o which_o our_o countryman_n 〈◊〉_d have_v late_o set_v forth_o contain_v the_o true_a compu●●on_n and_o reduction_n of_o the_o month_n to_o their_o first_o and_o ●●●cient_a seat_n the_o which_o be_v therefore_o set_v down_o in_o 〈◊〉_d horizon_n belong_v to_o this_o globe_n that_o thereby_o ●●●ght_v be_v see_v the_o difference_n that_o be_v between_o our_o calendar_n and_o that_o of_o the_o new_a stile_n and_o also_o that_o we_o may_v ●●●dily_o keep_v a_o account_n according_a to_o our_o own_o and_o ●●●ir_a calendar_n p._n i_o pray_v you_o geve_v i_o some_o instruction_n touch_v this_o matter_n for_o i_o see_v some_o globe_n that_o have_v ●●●yr_n horizon_n describe_v after_o the_o new_a roman_a al●●●nacke_n namely_o those_o globe_n which_o be_v make_v at_o amsterdame_n by_o jeame_n floris_n the_o which_o tro●bleth_v i_o many_o time_n because_o i_o can_v reduce_v they_o 〈◊〉_d our_o account_n m._n you_o see_v this_o that_o the_o new_a roman_a alm●nacke_n prevent_v our_o 10._o day_n and_o the_o other_o prevent_v our_o 15._o day_n one_o rule_n apply_v orderly_o to_o th●●_n both_o shall_v be_v your_o direction_n in_o they_o in_o this_o mann●●_n if_o the_o day_n of_o the_o month_n be_v assign_v according_a to_o 〈◊〉_d account_n and_o you_o have_v none_o other_o horizon_n butt_n t●●_n which_o be_v make_v after_o the_o new_a stile_n will_v notwithstanding_o know_v what_o degree_n and_o sign_n the_o sun_n possess_v add_v ten_o day_n unto_o the_o number_n of_o the_o day_n propound_v and_o seek_v that_o out_o in_o the_o horizon_n the_o degree_n of_o 〈◊〉_d sign_n which_o be_v correspondent_a to_o that_o day_n be_v the_o place_n 〈◊〉_d the_o sun_n as_o for_o example_n the_o 11._o of_o august_n i_o desire_v 〈◊〉_d know_v the_o place_n of_o the_o sun_n by_o the_o horizon_n make_v after_o the_o new_a stile_n i_o add_v 10._o to_o the_o number_n of_o the_o day_n it_o make_v 21._o which_o number_n i_o seek_v in_o the_o horizon_n and_o rig●_n against_o it_o i_o find_v the_o 27._o degree_n and_o 30._o min._n of_o ♌_o p._n but_o put_v case_n the_o question_n be_v propound_v concern_v the_o 24._o of_o august_n if_o i_o shall_v put_v 10._o to_o th●_n number_n it_o make_v 34._o how_o shall_v i_o make_v answer_n he●●_n consider_v that_o august_n have_v not_o so_o many_o day_n m._n if_o the_o two_o number_n add_v together_o excee_v the_o number_n of_o the_o day_n belong_v to_o the_o month_n assign_v take_v the_o day_n of_o the_o month_n assign_v from_o the_o total_a sum_n the_o number_n remain_v be_v the_o day_n of_o th●_n month_n follow_v as_o in_o your_o example_n 24._o and_o 10._o ma●●_n 34._o august_n have_v but_o 31._o day_n take_v they_o from_o 34._o the_o 〈◊〉_d mainder_n 3._o refer_v i_o to_o the_o three_o of_o september_n th●_n degree_n answer_v unto_o that_o day_n be_v the_o place_n of_o the_o su●_n contrary_a wise_a if_o you_o know_v what_o degree_n of_o the_o ecliptic_a the_o sun_n possess_v and_o by_o the_o horizon_n of_o the_o ●●●w_n style_v you_o will_v know_v
what_o day_n of_o the_o month_n it_o be_v 〈◊〉_d according_v to_o our_o account_n first_o seek_v in_o the_o say_a horizon_n 〈◊〉_d day_n opposite_a to_o that_o degree_n and_o if_o it_o be_v possible_a sub●●●ct_v 10._o from_o the_o number_n the_o remainder_n give_v the_o day_n 〈◊〉_d the_o month_n according_a to_o our_o account_n as_o for_o exaumple_n if_o against_o the_o degree_n of_o the_o sun_n you_o find_v the_o 〈◊〉_d day_n of_o any_o month_n the_o day_n upon_o which_o the_o sun_n possess_v that_o degree_n according_a to_o our_o account_n be_v the_o 11._o 〈◊〉_d of_o the_o same_o month_n p._n but_o put_v case_n i_o can_v subduct_v ten_o from_o the_o ●●●mber_n of_o the_o day_n which_o stand_v against_o the_o degree_n ●●●gned_v m._n then_o add_v that_o number_n to_o the_o number_n of_o the_o ●●●es_n belong_v to_o the_o month_n next_o before_o it_o and_o sub●●ct_v 10._o from_o the_o total_a sum_n the_o remainder_n be_v the_o 〈◊〉_d of_o the_o month_n immediate_o go_v before_o according_a ●●●our_n account_n as_o for_o example_n the_o day_n answer_v to_o 〈◊〉_d degree_n of_o the_o sun_n in_o the_o horizon_n of_o the_o new_a stile_n ●●●he_v sixth_o of_o august_n forsomuch_o as_o i_o can_v subduct_v 10._o ●●●m_v this_o number_n therefore_o i_o add_v it_o unto_o the_o 31._o day_n 〈◊〉_d julie_n the_o total_a sum_n be_v 37._o from_o whence_o i_o take_v 10._o 〈◊〉_d remainder_n be_v the_o 27._o of_o julie_n upon_o which_o day_n the_o ●●●ne_n possess_v the_o same_o degree_n namely_o the_o 13._o d._n 5._o m._n 〈◊〉_d ♌_o which_o he_o possess_v the_o sixth_o of_o august_n according_a 〈◊〉_d he_o new_a account_n this_o that_o i_o have_v say_v touch_v the_o 〈◊〉_d roman_a calendar_n may_v be_v say_v of_o the_o other_o next_o ●●●oyning_v to_o it_o take_v the_o number_n 15._o for_o 10._o to_o con●●●de_v this_o be_v a_o general_a rule_n for_o you_o to_o note_v that_o what_o ●●gree_n soever_o in_o the_o horizon_n you_o find_v the_o sun_n to_o possess_v the_o same_o degree_n must_v be_v seek_v out_o in_o the_o enigmatic_a the_o which_o degree_n we_o call_v many_o time_n simple_o the_o sun_n sometime_o we_o call_v it_o the_o place_n of_o the_o sunn●_n and_o therefore_o whensoever_o we_o say_v bring_v the_o sunne●_n the_o meridian_n or_o bring_v the_o place_n of_o the_o sun_n to_o 〈◊〉_d meridian_n etc._n etc._n our_o meaning_n be_v that_o you_o shall_v bri●●_n the_o degree_n of_o the_o ecliptic_n which_o the_o sun_n possess_v to_o the_o meridian_n or_o to_o the_o horizon_n p._n do_v these_o degree_n of_o the_o sign_n continual_o answer_v to_o the_o same_o day_n of_o the_o month_n m._n no_o but_o they_o may_v serve_v the_o turn_n 24._o year_n 〈◊〉_d 30._o without_o great_a inconvenience_n that_o they_o do_v 〈◊〉_d keep_v the_o same_o day_n of_o the_o month_n you_o may_v see●_n the_o entrance_n of_o the_o sun_n into_o the_o equinoctial_a poin●_n and_o into_o the_o solstitial_a point_n for_o the_o vernal_a eq●noctiall_a at_o the_o incarnation_n of_o christ_n be_v the_o 25._o 〈◊〉_d march_n and_o the_o summer_n solstice_n be_v the_o 24._o of_o ju●●●_n the_o nicene_n council_n find_v the_o vernal_a equinoctial_a 〈◊〉_d be_v the_o 21._o of_o march_n and_o now_o it_o be_v the_o eleven_o of_o 〈◊〉_d say_v month_n the_o reason_n of_o this_o difference_n be_v in_o 〈◊〉_d julius_n caesar_n almanac_n which_o we_o follow_v presupp●seth_v the_o year_n to_o be_v 365._o day_n and_o 6._o hour_n which_o ●●ing_n great_a than_o the_o year_n of_o the_o sun_n it_o comm●●_n hereby_o to_o pass_v that_o the_o solare_fw-la year_n prevent_v 〈◊〉_d year_n of_o julius_n caesar_n and_o draw_v by_o little_a and_o 〈◊〉_d near_o unto_o the_o first_o day_n of_o the_o month_n so_o that_o in_o 〈◊〉_d to_o come_v the_o entrance_n of_o the_o sun_n into_o the_o head_n of_o ●●ries_n which_o be_v the_o equinoctial_a point_n will_v be_v the_o first_o 〈◊〉_d march_n if_o there_o be_v not_o a_o correction_n use_v in_o the_o oth●●_n space_n that_o follow_v be_v set_v the_o name_n of_o the_o wind●●_n which_o common_o we_o call_v the_o 32._o point_n of_o the_o comp●●_n both_o in_o english_a and_o latin_a to_o the_o intent_n that_o not_o only_a 〈◊〉_d learned_a but_o the_o ignorant_a also_o may_v have_v use_n of_o they_o 〈◊〉_d the_o latin_a name_n the_o author_n think_v good_a to_o follow_v 〈◊〉_d lemnius_n both_o in_o respect_n of_o the_o learning_n of_o the_o ●ame_n and_o also_o because_o the_o name_n which_o be_v use_v by_o ●hers_n savour_n rather_o of_o the_o italian_a speech_n than_o of_o the_o ●●cient_a roman_a tongue_n the_o use_n of_o they_o be_v excellent_a as_o ●●al_v be_v declare_v hereafter_o both_o for_o the_o place_n of_o the_o rise_n and_o set_v of_o the_o fix_a star_n and_o the_o sun_n and_o also_o for_o their_o coast_v round_o about_o the_o heaven_n p._n this_o be_v one_o thing_n that_o i_o will_v fain_o be_v resolve_v 〈◊〉_d why_o in_o say_v the_o compass_n as_o the_o mariner_n term_v 〈◊〉_d they_o begin_v at_o the_o north_n point_n and_o so_o go_v on_o from_o ●●ence_n eastward_o be_v it_o not_o as_o good_a to_o begin_v at_o the_o ●●ast_n where_o the_o sun_n always_o rise_v m._n in_o deed_n if_o the_o sun_n do_v always_o rise_v full_a east_n 〈◊〉_d be_v convenient_a the_o compass_n shall_v begin_v there_o ●ut_v they_o follow_v the_o sun_n and_o for_o so_o much_o as_o the_o ut●rmost_a rise_n of_o the_o sun_n be_v at_o the_o north_n point_n of_o the_o ●●orizon_n and_o beyond_o that_o he_o can_v rise_v as_o you_o shall_v see_v ●●ereafter_o therefore_o they_o begin_v there_o thus_o much_o con●●erning_v those_o thing_n which_o be_v describe_v upon_o the_o horizon_n of_o the_o globe_n whereof_o the_o point_n of_o the_o compass_n ●ust_z be_v understand_v in_o the_o horizon_n of_o heaven_n and_o be●●des_v they_o certain_a degree_n for_o the_o quarter_n from_o the_o east_n to_o the_o south_n from_o the_o west_n to_o the_o south_n also_o from_o the_o east_n to_o the_o north_n and_o from_o the_o west_n to_o the_o north_n be_v to_o be_v un●●●ood_a to_o be_v divide_v into_o 90._o degree_n the_o number_n of_o which_o ●●egrees_n be_v not_o usual_o express_v because_o the_o degree_n of_o ●●e_z sign_n next_o unto_o the_o globe_n may_v easy_o supply_v they_o the_o reason_n why_o each_o quarter_n must_v be_v understand_v to_o be_v ●●us_o divide_v be_v the_o difference_n which_o be_v between_o the_o learned_a &_o the_o common_a mariner_n the_o common_a mariner_n see_v a_o star_n or_o the_o sun_n to_o rise_v and_o set_v usual_o name_v the_o point_n ●f_o the_o compass_n upon_o the_o which_o it_o appear_v as_o that_o it_o rise_v east_n northeast_n or_o east_n and_o by_o south_n the_o l●●ned_a astronomer_n he_o count_v how_o many_o degree_n th●_n rise_v from_o the_o east_n and_o how_o many_o degree_n they_o set_v fro●_n the_o west_n as_o that_o the_o sun_n rise_v 22._o degree_n 30._o min●●_n the_o northward_o or_o 11._o degree_n ¼_n to_o the_o south_n wa●●_n therefore_o that_o you_o may_v quick_o understand_v they_o both_o 〈◊〉_d you_o must_v accustom_v yourself_o to_o turn_v the_o degree_n 〈◊〉_d each_o quarter_n into_o the_o point_n of_o the_o compass_n and_o contrary_a wise_a the_o point_n of_o the_o compass_n into_o degree_n 〈◊〉_d this_o manner_n the_o whole_a circle_n be_v divide_v into_o 360._o degree_n therefore_o the_o 32_o point_n of_o the_o compass_n and_o 〈◊〉_d 360._o degree_n be_v equal_a the_o quarter_n of_o the_o circle_n cont●neth_v 90._o degree_n and_o 8._o point_n of_o the_o compass_n eu●●_n point_n of_o the_o compass_n therefore_o contain_v 11_o degr●●_n two_o point_n contain_v 22._o degr_n ½_n three_o point_n conta●●_n 33._o degree_n ¾_n four_o point_n contain_v 45._o degree_n n●●_n demand_v what_o you_o think_v good_a concern_v the_o horizon_n as_o it_o be_v to_o be_v conceive_v in_o the_o heaven_n p._n i_o have_v diverse_a thing_n to_o ask_v concern_v 〈◊〉_d circle_n i_o will_v fetch_v they_o out_o of_o the_o definition_n which_o 〈◊〉_d this_o the_o horizon_n be_v a_o great_a fix_a circle_n of_o the_o glo●●_n divide_v that_o part_n of_o the_o heaven_n which_o be_v see_v f●●●●_n that_o part_n of_o the_o heaven_n which_o be_v not_o see_v first_o tell_v 〈◊〉_d what_o be_v the_o reason_n of_o the_o name_n m._n you_o observe_v this_o that_o when_o you_o stand_v 〈◊〉_d plain_a champion_n country_n where_o there_o be_v nothing_o 〈◊〉_d hinder_v your_o sight_n that_o round_o about_o you_o there_o seeme●●_n circle_n to_o be_v describe_v which_o be_v a_o representation_n of_o 〈◊〉_d circle_n whereof_o we_o speak_v beyond_o this_o circle_n you●_n 〈◊〉_d nothing_o neither_o do_v your_o sight_n pass_v it_o but_o end●●_n there_o whereupon_o the_o grecian_n have_v call_v it_o the_o horizon_n of_o the_o word_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d which_o be_v finio_fw-la
by_o reason_n of_o the_o moti●●_n 〈◊〉_d the_o nine_o sphere_n so_o in_o regard_n of_o the_o motion_n of_o trepidation_n belong_v to_o the_o eight_o sphere_n the_o sun_n do_v ●●●nge_v his_o great_a declination_n ptolemee_n find_v the_o ●●atest_a declination_n to_o be_v 23._o d._n 51._o min_fw-mi 20._o s_o io._n regio●●●ntanus_n avouch_v it_o to_o be_v 23._o d._n 30._o min._n copernicus_n pronounce_v it_o to_o be_v 23._o d._n 28._o m._n all_o the_o other_o point_n of_o 〈◊〉_d ecliptic_a be_v of_o a_o lesser_a declination_n according_a as_o they_o be_v near_o to_o the_o equinoctial_a and_o in_o they_o this_o be_v a_o general_a rule_n that_o those_o point_n of_o the_o ecliptic_n which_o 〈◊〉_d opposite_a or_o equal_o distant_a from_o the_o equinoctial_a point_n have_v equal_a declination_n as_o ♉_o and_o ♏_o be_v opposite_a item_n ♉_o and_o ♓_o or_o ♉_o and_o ♍_o which_o be_v of_o equal_a ●●stance_n from_o the_o equinoctial_a point_n have_v equal_a declination_n p._n hitherto_o you_o have_v make_v the_o meridian_n the_o ●●mmon_a measurer_n of_o the_o declination_n but_o may_v i_o not_o ●●de_v it_o otherwise_o m._n yes_o you_o may_v find_v it_o by_o your_o compass_n more_o precise_o in_o this_o manner_n set_v one_o foot_n of_o your_o compass_n in_o any_o star_n propound_v or_o in_o any_o degree_n of_o the_o ecliptic_n who_o declination_n you_o desire_v and_o turn_v the_o other_o foot_n of_o they_o to_o the_o equator_fw-la or_o any_o other_o circle_n parallel_n unto_o the_o equator_fw-la put_v the_o say_a foot_n out_o or_o pull_v it_o in_o until_o you_o do_v but_o touch_v the_o circle_n then_o app●●e_v your_o compass_n to_o the_o equinoctial_a line_n and_o observe_v the_o number_n of_o degree_n intercept_v between_o they_o for_o they_o express_v the_o declination_n p._n what_o commodity_n do_v the_o knowledge_n of_o the_o declination_n bring_v m._n first_o it_o help_v we_o to_o find_v the_o height_n of_o the_o pole_n as_o i_o will_v teach_v you_o hereafter_o when_o i_o speak_v of_o the_o height_n of_o the_o star_n and_o sun_n second_o it_o bring_v we_o to_o the_o knowledge_n of_o the_o place_n of_o the_o sun_n last_o of_o a●●_n it_o bring_v forth_o the_o day_n of_o the_o month_n p._n tell_v i_o the_o declination_n be_v know_v as_o s●_n example_n suppose_v i_o know_v the_o sun_n to_o decline_v 11._o de●●_n 30._o m._n how_o shall_v i_o find_v the_o place_n of_o the_o sun_n m._n forsomuch_o as_o 4._o mean_a point_n of_o the_o ecliptio●_n have_v equal_a declination_n as_o i_o say_v even_o now_o there_o m●●●_n therefore_o consideration_n be_v have_v of_o the_o time_n of_o the_o yea●●_n as_o whether_o the_o sun_n be_v suppose_v to_o have_v this_o declination_n in_o the_o spring_n or_o in_o the_o summer_n etc._n etc._n for_o the_o declination_n propound_v must_v be_v seek_v out_o only_o in_o that_o p●●●_n of_o the_o ecliptic_n which_o be_v correspondent_a to_o the_o season_n than_o be_v your_o rule_n this_o if_o the_o quarter_n of_o the_o ecliptic_a 〈◊〉_d swerable_a to_o the_o season_n propound_v be_v apply_v to_o 〈◊〉_d meridian_n the_o degree_n of_o the_o ecliptic_n which_o fall_v 〈◊〉_d under_o the_o assign_a declination_n be_v the_o place_n of_o the_o sun●●_n so_o if_o it_o be_v spring_v time_n the_o sun_n decline_v 11._o d._n 30._o 〈◊〉_d must_v needs_o possess_v the_o head_n of_o ♉_o if_o it_o be_v summer_n 〈◊〉_d possess_v the_o head_n of_o ♍_o etc._n etc._n p._n hereby_o i_o think_v i_o can_v answer_v the_o 〈◊〉_d proposition_n myself_o m._n let_v i_o see_v the_o declination_n of_o the_o sun_n be●●_n give_v how_o can_v you_o find_v the_o day_n of_o the_o month_n p._n if_o the_o degree_n which_o the_o sun_n possess_v be_v fo●●_n out_o by_o the_o former_a proposition_n be_v seek_v for_o afterwards_o in_o the_o horizon_n of_o the_o globe_n the_o day_n of_o the_o mon●_n which_o stand_v right_a against_o it_o be_v the_o day_n require_v 〈◊〉_d for_o example_n the_o sun_n in_o the_o spring_n time_n decline_v 〈◊〉_d d._n 30._o m._n by_o the_o former_a proposition_n i_o find_v his_o place_n to_o 〈◊〉_d the_o head_n of_o ♉_o unto_o the_o which_o in_o the_o horizon_n of_o t●●_n globe_n i_o find_v the_o end_n of_o the_o ten_o of_o april_n to_o answer_v m._n you_o say_v true_a the_o four_o thing_n which_o crave●●_n 〈◊〉_d certain_a position_n of_o the_o globe_n be_v the_o longitude_n this_o ●ay_v belong_v to_o any_o point_n assign_v in_o the_o globe_n but_o general_o we_o seek_v the_o longitude_n either_o of_o the_o star_n or_o of_o the_o degree_n of_o the_o ecliptic_n whereby_o also_o we_o count_v ●●e_z longitude_n of_o the_o sun_n the_o beginning_n of_o longitude_n be_v the_o head_n of_o ♉_o the_o circle_n wherein_o it_o be_v count_v ●nd_v measure_v be_v the_o ecliptic_n the_o extremity_n or_o end_n of_o the_o longitude_n in_o respect_n of_o the_o star_n which_o be_v distant_a from_o the_o ecliptic_n towards_o either_o pole_n thereof_o be_v ●●at_a point_n of_o the_o ecliptic_n upon_o which_o that_o great_a ●●cle_n light_v which_o be_v draw_v from_o the_o pole_n of_o the_o ecliptic_n through_o the_o centre_n of_o the_o star_n but_o in_o re●●●ct_n of_o the_o ecliptic_n itself_o or_o in_o regard_n of_o any_o star_n 〈◊〉_d the_o sun_n suppose_v to_o be_v in_o the_o ecliptic_n the_o end_n or_o ●●●it_v of_o longitude_n be_v that_o degree_n which_o the_o sun_n or_o star_n be_v suppose_v to_o possess_v hereupon_o we_o define_v the_o ●●●gitude_n thus_o the_o longitude_n be_v a_o arcke_n of_o the_o ecliptic_n contain_v according_a to_o the_o natural_a succession_n of_o the_o sign_n between_o the_o head_n of_o ♈_o and_o that_o great_a circle_n ●hich_v be_v draw_v from_o the_o pole_n of_o the_o ecliptic_n through_o the_o point_n assign_v in_o the_o globe_n here_o you_o must_v note_v this_o that_o forsomuch_o as_o the_o head_n of_o ♈_o be_v the_o begin_n of_o all_o longitude_n therefore_o whatsoever_o be_v contain_v under_o the_o half_a of_o that_o great_a circle_n which_o be_v ●●●wen_v from_o the_o one_o pole_n of_o the_o ecliptic_n through_o that_o ●●int_n unto_o the_o other_o have_v no_o longitude_n at_o all_o the_o other_o ●●ints_v assign_v in_o the_o globe_n may_v increase_v in_o longitude_n ●●to_fw-la 360._o degree_n than_o the_o which_o there_o can_v be_v no_o greate●_n because_o they_o be_v the_o degree_n of_o the_o whole_a ecliptic_n p._n you_o say_v that_o the_o longitude_n be_v a_o arcke_n of_o the_o ecliptic_n but_o how_o shall_v i_o express_v it_o as_o for_o example_n 〈◊〉_d i_o be_v demand_v of_o the_o longitude_n of_o the_o star_n call_v the_o lion_n hart_n what_o shall_v i_o say_v that_o it_o be_v a_o ar●●●_n of_o the_o ecliptic_n &_o c_o i_o think_v that_o be_v somewh●●_n absurd_a m._n if_o you_o shall_v answer_v so_o your_o answer_n we●●_n true_a but_o for_o your_o instruction_n note_v this_o that_o when_o 〈◊〉_d be_v demand_v of_o the_o longitude_n of_o the_o sun_n or_o starr●_n we_o make_v answer_v two_o several_a way_n sometime_o by_o 〈◊〉_d degree_n of_o the_o sign_n upon_o which_o the_o great_a circle_n falle●_n which_o be_v draw_v from_o the_o pole_n of_o the_o ecliptic_a throu●●_n the_o centre_n thereof_o so_o we_o say_v that_o the_o longitude_n of_o 〈◊〉_d lion_n hart_n be_v the_o 23._o d._n 43._o m._n of_o leo._n sometime_o 〈◊〉_d answer_n by_o the_o continual_a succession_n of_o the_o degree_n contain_v in_o the_o arcke_n of_o the_o ecliptic_n for_o we_o say_v the_o lio●_n hart_n have_v longitude_n 143._o d._n 43._o m._n p._n but_o the_o degree_n of_o the_o ecliptic_n be_v not_o 〈◊〉_d down_o in_o continual_a succession_n upon_o the_o globe_n m._n it_o be_v true_a and_o therefore_o the_o longitude_n up●●_n the_o globe_n be_v not_o find_v but_o according_a to_o the_o sign_n 〈◊〉_d their_o degree_n yet_o if_o for_o every_o whole_a sign_n you_o co●●_n 30._o degree_n and_o unto_o that_o sum_n add_v the_o odd_a degre●_n and_o minute_n remain_v if_o there_o be_v any_o the_o total_a be_v 〈◊〉_d longitude_n according_a to_o the_o continual_a succession_n as_o 〈◊〉_d example_n the_o lion_n hart_n be_v in_o the_o 23._o d._n 43._o m._n of_o leo._n ●●fore_o leo_n there_o be_v 4._o whole_a sign_n therefore_o i_o take_v fo●_n time_n 30._o which_o make_v 120._o unto_o which_o i_o add_v the_o o●●_n degree_n and_o minute_n remain_v which_o be_v 23._o d._n 43._o 〈◊〉_d the_o total_a sum_n 143._o d._n 43._o m._n be_v the_o longitude_n accord_v to_o the_o continual_a succession_n of_o the_o degree_n p._n you_o say_v that_o in_o find_v the_o declination_n 〈◊〉_d meridian_n circle_n be_v a_o fit_a and_o convenient_a instrument_n 〈◊〉_d what_o shall_v we_o have_v to_o find_v the_o longitude_n m._n it_o be_v convenient_a for_o this_o purpose_n and_o for_o 〈◊〉_d latitude_n whereof_o i_o be_o to_o speak_v to_o
elevation_n 〈◊〉_d ●he_v pole_n be_v give_v how_o shall_v i_o find_v by_o the_o globe_n ●●at_a star_n do_v arise_v and_o set_v what_o star_n never_o set_v and_o ●●at_a star_n never_o rise_v m._n rectify_v your_o globe_n that_o be_v raise_v the_o pole_n of_o 〈◊〉_d globe_n according_a to_o the_o elevation_n assign_v so_o shall_v 〈◊〉_d present_o answer_v yourself_o by_o the_o revolution_n of_o 〈◊〉_d globe_n if_o both_o the_o pole_n be_v in_o the_o horizon_n you_o ●●ll_v see_v every_o star_n and_o every_o degree_n of_o the_o ecliptic_a 〈◊〉_d ●rise_n and_o set_v if_o one_o of_o the_o pole_n be_v in_o your_o zenith_n ●●u_o shall_v see_v all_o the_o star_n and_o degree_n of_o the_o ecliptic_a ●●●m_n the_o equator_fw-la upward_o never_o to_o set_v and_o contrariwise_o ●●●se_a that_o be_v from_o the_o equator_fw-la downward_o never_o to_o 〈◊〉_d if_o the_o pole_n be_v raise_v 66._o do_v 30._o m._n you_o shall_v see_v all_o the_o ●●●res_n from_o the_o one_o tropic_n upward_a never_o to_o set_v and_o ●●●m_o the_o other_o tropic_n downward_o never_o to_o rise_v and_o 〈◊〉_d sun_n be_v in_o the_o tropic_n next_o to_o the_o pole_n that_o be_v ●●●uated_v do_v but_o touch_v the_o horizon_n with_o his_o centre_n 〈◊〉_d be_v in_o all_o other_o place_n of_o the_o ecliptic_n he_o do_v 〈◊〉_d the_o rise_n and_o set_v to_o conclude_v this_o be_v a_o general_a rule_n to_o 〈◊〉_d gather_v out_o of_o the_o declination_n if_o the_o declination_n ●●●●er_v of_o the_o sun_n or_o star_n be_v lesser_a than_o the_o compleasant_n of_o the_o height_n of_o the_o pole_n the_o sun_n and_o star_n a●●●th_v and_o set_v if_o the_o declination_n be_v great_a they_o ne●●●_n set_v or_o else_o never_o arise_v if_o the_o declination_n be_v equal_a ●●ey_v touch_v the_o horizon_n but_o never_o set_v or_o else_o never_o a●●●●_n the_o next_o thing_n to_o be_v consider_v in_o the_o horizon_n be_v 〈◊〉_d ascension_n and_o descension_n of_o the_o sun_n or_o star_n ●●●h_v the_o difference_n thereof_o ascension_n be_v the_o portion_n of_o 〈◊〉_d equator_fw-la contain_v the_o orderly_a succession_n of_o the_o degree_n be_v observe_v between_o the_o head_n of_o ♈_o a●_n the_o horizon_n at_o the_o time_n of_o the_o rise_n of_o the_o sun_n 〈◊〉_d star_n descension_n be_v the_o portion_n of_o the_o equator_fw-la contain_v in_o like_a manner_n between_o the_o head_n of_o ♈_o and_o th●_n horizon_n at_o the_o time_n of_o the_o set_n of_o the_o sun_n 〈◊〉_d star_n therefore_o whatsoever_o be_v in_o the_o horizon_n wi●●_n the_o head_n of_o ♈_o have_v neither_o ascension_n or_o descension_n ascension_n and_o descension_n be_v either_o right_a or_o crooked_a otherwise_o call_v oblique_a right_o ascension_n be_v the_o portion_n of_o the_o equator_fw-la contain_v between_o the_o head_n of_o ari●●_n and_o the_o meridian_n at_o the_o time_n of_o the_o come_n of_o a●●_n either_o sun_n or_o star_n unto_o the_o meridian_n descension_n may_v be_v define_v in_o the_o same_o manner_n by_o the_o depart_n from_o the_o meridian_n p._n how_o come_v it_o to_o pass_v that_o you_o define_v th●_n right_a ascension_n by_o the_o meridian_n and_o not_o by_o the_o horizon_n as_o you_o do_v general_o define_v it_o before_o m._n i_o define_v it_o by_o the_o meridian_n because_o i_o will_v ha●●_n you_o remember_v that_o which_o i_o tell_v you_o before_o namel●_n that_o the_o meridian_n of_o the_o globe_n may_v very_o fit_o supply_v 〈◊〉_d place_n of_o the_o horizon_n in_o a_o right_a sphere_n therefore_o if_o y●●_n will_v know_v the_o right_a ascension_n of_o the_o sun_n or_o star_v bring_v the_o degree_n of_o the_o ecliptic_n which_o the_o sun_n possess_v or_o else_o bring_v the_o star_n assign_v to_o the_o meridian_n and_o there_o observe_v what_o portion_n of_o the_o equator_fw-la be_v contain_v between_o the_o head_n of_o ♈_o and_z the_o meridian_n 〈◊〉_d that_o be_v the_o right_a ascension_n here_o this_o be_v to_o be_v no●●_n that_o the_o right_a ascension_n and_o descension_n be_v always_o on●_n for_o the_o same_o degree_n of_o the_o equator_fw-la which_o come_v 〈◊〉_d the_o meridian_n the_o same_o degree_n go_v from_o the_o meridian_n with_o the_o sun_n or_o star_n moreover_o there_o be_v no_o degre●_n of_o the_o ecliptic_n nor_o no_o star_n but_o it_o have_v a_o right_a ascen●●●_n and_o descension_n except_v those_o which_o be_v gene●●●_n except_v before_o namely_o those_o which_o be_v just_a un●●●_n the_o meridian_n with_o the_o head_n of_o ♈_o p._n by_o your_o word_n i_o gather_v that_o the_o oblique_a ascen●●●●_n be_v the_o portion_n of_o the_o equator_fw-la contain_v between_o 〈◊〉_d head_n of_o ♈_o and_o the_o horizon_n of_o a_o oblique_a sphere_n at_o ●●●rising_v of_o the_o sun_n or_o star_n descension_n also_o may_v 〈◊〉_d ●efined_v in_o the_o same_o manner_n by_o the_o set_n so_o that_o if_o ●●sire_v to_o know_v the_o oblique_a ascension_n i_o must_v bring_v the_o ●●●●ee_n of_o the_o ecliptic_n or_o else_o the_o star_n assign_v to_o the_o ●●●●zon_n and_o there_o observe_v what_o portion_n of_o the_o equator_fw-la contain_v between_o the_o head_n of_o ♈_o and_z the_o horizon_n 〈◊〉_d that_o on_o the_o east_n side_n of_o the_o horizon_n be_v the_o oblique_a ●●●nsion_n on_o the_o west_n side_n it_o be_v the_o descension_n m._n you_o say_v right_a and_o here_o note_v this_o that_o the_o ●●●que_a ascension_n and_o descension_n be_v never_o the_o same_o 〈◊〉_d some_o star_n and_o the_o sun_n likewise_o have_v neither_o ●●●ension_n or_o descension_n namely_o when_o they_o neither_o rise_v 〈◊〉_d set_v p._n what_o be_v the_o difference_n of_o ascension_n which_o you_o ●●●red_a before_o m._n in_o search_v out_o the_o right_n and_o crooked_a as●●●sion_n you_o shall_v find_v this_o continual_o to_o be_v true_a that_o of_o ●ne_a and_o the_o same_o sign_n or_o star_n the_o several_a ascensi●●_n never_o agree_v the_o one_o be_v always_o either_o great_a or_o ●●●r_n than_o another_o therefore_o have_v find_v out_o the_o ●●●t_n and_o crooked_a ascension_n of_o any_o one_o star_n subduct_v 〈◊〉_d lesser_a from_o the_o great_a the_o degree_n of_o the_o equator_fw-la ●●●ch_n remain_v be_v call_v the_o difference_n of_o ascen●●●●_n p._n to_o what_o end_n serve_v this_o ascension_n and_o difference_n of_o ascension_n whereof_o you_o speak_v p._n it_o serve_v to_o diverse_a purpose_n whereof_o i_o sh●●_n make_v mention_n hereafter_o now_o let_v we_o follow_v the_o mat●●_n which_o we_o have_v in_o hand_n we_o use_v in_o the_o horizon_n to_o observe_v with_o what_o degree_n of_o the_o ecliptic_a any_o sta●●_n do_v arise_v or_o set_v which_o thing_n be_v do_v only_o by_o mou●●_n the_o globe_n up_o and_o down_o until_o the_o star_n assign_v co●meth_v to_o the_o east_n or_o west_n side_n of_o the_o horizon_n the_o degree_n of_o the_o ecliptic_n which_o be_v then_o in_o the_o horizon_n 〈◊〉_d the_o degree_n require_v p._n by_o this_o mean_n also_o i_o may_v know_v what_o degr●●_n come_v to_o the_o meridian_n for_o if_o i_o bring_v the_o star_n propound_v to_o the_o meridian_n the_o degree_n of_o the_o ecliptic_n which_o be_v under_o the_o meridian_n with_o the_o star_n be_v the_o ●●gree_n require_v but_o what_o do_v the_o knowledge_n of_o 〈◊〉_d avail_v i_o m._n hereby_o you_o may_v learn_v upon_o what_o day_n of_o 〈◊〉_d very_a month_n every_o star_n be_v to_o be_v see_v rise_a or_o s●●ting_v or_o in_o the_o meridian_n at_o midnight_n in_o this_o manne●_n bring_v the_o star_n propound_v to_o the_o east_n side_n of_o the_o horizon_n mark_v what_o degree_n of_o the_o ecliptic_n be_v in_o the_o horizon_n with_o it_o when_o the_o sun_n shall_v possess_v the_o oppo●●_n degree_n that_o day_n shall_v the_o assign_a star_n arise_v at_o the_o ●●ting_n of_o the_o sun_n p._n but_o how_o shall_v i_o know_v that_o day_n m._n i_o tell_v you_o before_o that_o whensoever_o there_o any_o degree_n of_o the_o ecliptic_n assign_v it_o must_v be_v sou●_n out_o in_o the_o horizon_n and_o right_a against_o it_o you_o shall_v fin●●_n the_o day_n of_o the_o month_n wherein_o the_o sun_n possess_v th●_n degree_n take_v a_o example_n the_o little_a dog_n arise_v in_o o●_n horizon_n with_o the_o 5._o d._n 30._o m._n of_o leo_n the_o degree_n oppose_v to_o this_o in_o the_o west_n side_n of_o the_o horizon_n be_v the_o 5._o d._n 30._o m_o aquarius_n the_o sun_n possess_v that_o degree_n as_o i_o perce●_n ●he_v horizon_n the_o 16._o of_o januarie_n therefore_o upon_o that_o ●●at_a the_o set_n of_o the_o sun_n the_o little_a dog_n arise_v ●●e_z horizon_n contrariwise_o bring_v any_o star_n to_o the_o 〈◊〉_d side_n of_o the_o horizon_n mark_v the_o degree_n of_o the_o e●●●icke_n which_o come_v to_o the_o horizon_n with_o it_o ●●●n_o the_o sun_n possess_v the_o opposite_a degree_n on_o that_o ●●at_a the_o rise_n of_o the_o sun_n the_o say_a star_n shall_v
set_v in_o 〈◊〉_d west_n and_o here_o be_v the_o first_o mean_n offer_v to_o find_v 〈◊〉_d elevation_n of_o the_o pole_n this_o be_v certain_a that_o there_o be_v 〈◊〉_d elevation_n wherein_o one_o and_o the_o same_o star_n arise_v or_o ●●●eth_v with_o the_o same_o degree_n of_o the_o ecliptic_n with_o ●●●ch_n it_o rise_v and_o set_v in_o a_o other_o elevation_n but_o a_o star_n in_o each_o several_a elevation_n of_o the_o pole_n have_v ●●uerall_a degree_n of_o the_o ecliptic_n with_o which_o it_o rise_v 〈◊〉_d set_v every_o day_n if_o the_o lesser_a dog_n arise_v in_o one_o ●●e_v with_o the_o head_n of_o leo_n in_o a_o other_o place_n he_o arise_v 〈◊〉_d the_o 10._o or_o 20._o of_o leo._n therefore_o if_o you_o can_v observe_v 〈◊〉_d star_n rise_v in_o the_o horizon_n when_o the_o sun_n do_v 〈◊〉_d or_o set_v in_o the_o horizon_n when_o the_o sun_n do_v a●●●●_n note_v the_o day_n of_o the_o month_n in_o the_o horizon_n and_o the_o degree_n of_o the_o ecliptic_n answerable_a to_o that_o day_n find_v out_o also_o the_o opposite_a degree_n then_o if_o you_o note_v the_o star_n to_o arise_v bring_v the_o star_n to_o the_o east_n side_n of_o the_o horizon_n and_o raise_v or_o depress_v the_o pole_n of_o the_o globe_n until_o the_o ●●●●re_n and_o the_o degree_n of_o the_o ecliptic_a fall_n both_o together_o in_o the_o horizon_n for_o than_o shall_v the_o pole_n of_o the_o ●●●be_n be_v at_o his_o true_a elevation_n p._n if_o i_o note_v the_o star_n to_o set_v i_o must_v work_v this_o conclusion_n on_o the_o west_n side_n of_o the_o globe_n m._n it_o be_v so_o moreover_o if_o you_o note_v with_o what_o degree_n any_o star_n come_v to_o the_o meridian_n seek_v out_o the_o opposite_a degree_n when_o the_o sun_n possess_v that_o degree_n then_o at_o midnight_n you_o shall_v see_v the_o star_n in_o the_o meridian_n but_o we_o can_v from_o hence_o infer_v the_o elevation_n of_o the_o pole_n because_o every_o where_n be_v the_o pole_n high_o or_o low_o the_o star_n continual_o come_v to_o the_o meridian_n with_o the_o selfsame_o degree_n of_o the_o ecliptic_n here_o be_v occasion_n offer_v to_o deliver_v unto_o you_o the_o cosmical_a achronicall_a and_o helicall_a rise_n and_o set_v of_o the_o sign_n and_o star_n which_o be_v not_o to_o be_v neglect_v of_o young_a student_n especial_o such_o as_o be_v conversant_a in_o read_v of_o the_o poet_n because_o in_o many_o place_n they_o can_v hardly_o be_v understand_v without_o the_o knowledge_n of_o these_o thing_n cosmical_a rise_n and_o set_v of_o the_o star_n general_o take_v be_v their_o ascend_a and_o descend_v at_o any_o hour_n of_o the_o day_n whatsoever_o likewise_o we_o define_v general_o the_o achronicall_a rise_n and_o set_v of_o the_o sign_n and_o star_n to_o be_v their_o ascend_a and_o descend_v in_o the_o night_n but_o proper_o they_o be_v apply_v to_o that_o time_n only_o at_o which_o the_o sun_n do_v arise_v or_o set_v therefore_o the_o degree_n which_o the_o sun_n possess_v be_v apply_v to_o the_o east_n side_n of_o the_o horizon_n the_o sign_n or_o star_n which_o be_v then_o on_o the_o east_n side_n of_o the_o horizon_n with_o the_o sun_n be_v say_v to_o arise_v cosmicallie_o and_o they_o which_o at_o the_o same_o time_n be_v in_o the_o west_n side_n of_o the_o horizon_n be_v say_v to_o set_v cosmicallie_o furthermore_o the_o degree_n which_o the_o sun_n possess_v be_v bring_v to_o the_o west_n side_n of_o the_o horizon_n the_o sign_n or_o star_n that_o be_v on_o that_o side_n with_o the_o say_a degree_n do_v set_v achronicallie_o that_o be_v by_o interpretation_n in_o the_o edge_n of_o the_o night_n and_o they_o on_o the_o other_o side_n arise_v achronicallie_o whereby_o this_o appear_v that_o what_o sign_n or_o star_n soever_o arise_v cosmicallie_o the_o same_o do_v set_v achronicallie_o and_o contrariwise_o likewise_o what_o star_n or_o sign_n soever_o rise_v achronicallie_o the_o same_o do_v set_v cosmicallie_o and_o contrariwise_o the_o helicall_a rise_n of_o the_o star_n be_v their_o appearance_n after_o they_o have_v be_v hide_v by_o the_o beam_n of_o the_o sun_n the_o helicall_a set_n of_o the_o star_n be_v the_o hide_v by_o the_o beam_n of_o the_o sun_n for_o this_o you_o must_v note_v that_o the_o sun_n move_v from_o the_o west_n to_o the_o east_n do_v by_o little_a and_o little_o gather_v upon_o the_o star_n which_o be_v eastward_o from_o he_o and_o come_v near_o unto_o they_o within_o some_o 15._o degree_n little_o more_o or_o less_o according_a to_o the_o quantity_n of_o the_o star_n by_o his_o brightness_n he_o obscure_v their_o light_n and_o then_o be_v they_o say_v to_o set_v helicallie_o afterward_o the_o sun_n keep_v on_o his_o course_n leave_v the_o star_n to_o be_v see_v towards_o the_o west_n then_o be_v they_o say_v to_o rise_v helicallie_o by_o the_o globe_n you_o shall_v gather_v the_o helicall_a rise_n and_o set_v thus_o turn_v the_o degree_n which_o the_o sun_n possess_v to_o the_o east_n side_n of_o the_o horizon_n the_o star_n which_o be_v alittle_o above_o it_o be_v those_o which_o be_v rise_v helicallie_o for_o the_o sun_n have_v leave_v they_o to_o be_v see_v before_o his_o rise_n again_o turn_v the_o degree_n which_o the_o sun_n possess_v to_o the_o west_n side_n of_o the_o horizon_n the_o star_n which_o be_v alittle_o above_o it_o be_v those_o which_o be_v ready_a to_o set_v helicallie_o for_o the_o sun_n will_v come_v upon_o they_o from_o the_o west_n the_o next_o thing_n to_o be_v note_v be_v the_o amplitude_n of_o the_o sun_n or_o star_n p._n tell_v i_o what_o it_o be_v how_o it_o be_v divide_v what_o use_v it_o have_v m._n the_o amplitude_n be_v to_o be_v consider_v at_o the_o instant_a time_n of_o the_o rise_n and_o set_v of_o the_o sun_n or_o star_n and_o not_o else_o the_o amplitude_n be_v the_o distance_n of_o the_o sun_n or_o star_n from_o the_o true_a east_n or_o west_n measure_v by_o the_o arcke_n of_o the_o horizon_n therefore_o you_o must_v bring_v the_o place_n of_o the_o sun_n that_o be_v the_o degree_n of_o the_o ecliptic_n which_o the_o sun_n possess_v or_o the_o star_n assign_v to_o the_o east_n or_o west_n side_n of_o the_o horizon_n according_a as_o the_o time_n require_v then_o mark_v how_o many_o degree_n of_o the_o horizon_n be_v contain_v between_o the_o sun_n or_o the_o star_n and_o the_o true_a east_n or_o west_n point_n of_o the_o horizon_n for_o those_o degree●_n express_v the_o amplitude_n amplitude_n be_v either_o north_n or_o south_n north_n amplitude_n be_v the_o arcke_n of_o the_o horizon_n count_v from_o the_o true_a east_n or_o west_n northward_o south_n amplitude_n be_v to_o the_o southward_n the_o seafaring_a man_n keep_v account_v as_o i_o tell_v you_o before_o by_o the_o point_n of_o the_o compass_n but_o it_o be_v better_a to_o observe_v the_o amplitude_n by_o degree_n the_o sun_n or_o star_n under_o the_o equator_fw-la have_v not_o amplitude_n because_o that_o circle_n always_o rise_v and_o set_v full_a east_n and_o west_n for_o the_o other_o point_n of_o heaven_n this_o be_v general_a that_o those_o which_o have_v equal_a declination_n have_v equal_a amplitude_n be_v it_o to_o the_o north_n or_o to_o the_o southward_n in_o a_o right_a sphere_n the_o declination_n and_o amplitude_n of_o the_o sun_n and_o star_n be_v of_o one_o quantity_n so_o that_o know_v the_o one_o i_o know_v the_o other_o therefore_o if_o at_o any_o time_n in_o travail_v we_o find_v the_o declination_n and_o amplitude_n of_o the_o sun_n or_o star_n to_o agree_v together_o it_o be_v a_o certain_a sign_n that_o we_o be_v then_o under_o the_o equator_fw-la and_o our_o zenith_n be_v just_a in_o that_o circle_n p._n then_o may_v i_o infer_v this_o also_o that_o for_o so_o much_o as_o the_o meridian_n of_o a_o right_a sphere_n &_o the_o horizon_n may_v be_v count_v as_o one_o if_o the_o distance_n of_o the_o sun_n or_o star_n from_o one_o zenith_n be_v equal_a unto_o their_o declination_n we_o be_v just_a under_o the_o equinoctial_a m._n you_o say_v true_a in_o any_o oblique_a sphere_n the_o declination_n and_o amplitude_n of_o the_o sun_n or_o star_n do_v always_o differ_v for_o the_o amplitude_n do_v exceed_v the_o declination_n yet_o be_v it_o never_o more_o than_o 90._o degree_n where_o the_o pole_n be_v elevate_v as_o you_o may_v perceive_v by_o the_o globe_n 66._o d._n 30._o min._n the_o amplitude_n of_o the_o sun_n in_o the_o tropical_a point_n be_v 90._o degree_n where_o the_o pole_n be_v in_o our_o zenith_n there_o be_v no_o account_n make_v of_o the_o amplitude_n because_o there_o be_v neither_o rise_n nor_o set_v of_o the_o star_n the_o use_n of_o the_o amplitude_n be_v in_o the_o find_n of_o the_o elevation_n of_o the_o pole_n
m._n that_o also_o be_v true_a but_o if_o both_o the_o longitude_n &_o the_o latitude_n of_o a_o place_n be_v give_v you_o can_v but_o find_v it_o out_o present_o in_o this_o manner_n bring_v the_o degree_n of_o longitude_n unto_o the_o meridian_n set_v the_o globe_n fast_o and_o in_o the_o meridian_n seek_v out_o the_o latitude_n you_o shall_v be_v sure_a to_o find_v the_o place_n or_o at_o leastwise_o where_o it_o shall_v be_v if_o it_o be_v not_o express_v in_o the_o globe_n thus_o much_o concern_v the_o longitude_n and_o latitude_n p._n then_o must_v i_o trouble_v you_o with_o a_o question_n propound_v before_o which_o be_v this_o what_o thing_n they_o have_v common_a and_o wherein_o they_o may_v differ_v that_o have_v on●_n longitude_n the_o which_o question_n you_o promise_v to_o satish_a i_o in_o when_o you_o have_v discourse_v of_o the_o latitude_n m._n i_o will_v do_v what_o i_o can_v especial_o becuse_v i_o know_v it_o be_v most_o pleasant_a you_o see_v by_o the_o globe_n 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find_v out_o the_o community_n and_o difference_n speak_v of_o before_o p._n i_o do_v partly_o perceive_v the_o matter_n i_o hope_v by_o practice_n 〈◊〉_d understand_v it_o the_o better_a proceed_v now_o i_o pray_v you_o in_o ●hat_n which_o i_o request_v at_o your_o hand_n m._n as_o some_o of_o those_o which_o inhabit_v either_o the_o north_n ●r_n south_n part_n of_o the_o earth_n may_v have_v the_o same_o latitude_n ●ut_v diverse_a longitude_n so_o again_o some_o may_v have_v the_o ●●me_n longitude_n but_o diverse_a latitude_n as_o they_o here_o in_o eng●●nd_n have_v the_o same_o longitude_n and_o be_v under_o the_o same_o meridian_n which_o the_o spaniard_n and_o those_o that_o dwell_v to_o ●he_n west_n side_n of_o africa_n yet_o do_v they_o all_o differ_v in_o longitude_n ●hese_n man_n have_v the_o self_n same_o hour_n of_o the_o day_n and_o ight_n with_o the_o four_o season_n of_o the_o year_n but_o in_o many_o ●ther_n thing_n they_o differ_v as_o they_o dwell_v near_o or_o 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13._o of_o september_n to_o the_o 11._o of_o march_n but_o from_o the_o eleven_o of_o march_n to_o the_o 13_o of_o september_n our_o day_n be_v always_o long_o than_o they_o again_o from_o the_o 13._o of_o september_n to_o the_o eleven_o of_o march_n their_o night_n be_v short_a than_o we_o but_o from_o the_o 11._o of_o march_n to_o the_o 13._o of_o september_n our_o night_n be_v short_a than_o they_o moreover_o the_o sun_n never_o rise_v unto_o these_o man_n at_o one_o hour_n ercept_v he_o be_v in_o the_o equator_fw-la as_o for_o example_n to_o we_o and_o the_o spaniard_n while_o the_o sun_n be_v in_o the_o north_n sign_n he_o rise_v more_o early_a and_o shine_v long_a to_o we_o than_o to_o they_o but_o the_o sun_n be_v in_o the_o south_n sign_n he_o rise_v more_o early_a and_o shine_v long_a to_o they_o than_o to_o we_o last_o of_o al●_n the_o sun_n never_o rise_v or_o set_v to_o they_o and_o we_o on_o the_o same_o point_n of_o the_o compass_n etc._n etc._n all_o which_o thing_n you_o may_v easy_o perceive_v to_o be_v true_a by_o those_o rule_n which_o you_o have_v hear_v before_o in_o the_o celestial_a globe_n if_o you_o do_v bu●_n find_v out_o by_o the_o terrestrial_a globe_n their_o feverall_a latitude_n that_o dwell_v under_o the_o same_o meridian_n and_o then_o raise_v the_o pole_n several_o work_v the_o conclusion_n aforesaid_a according_a as_o you_o have_v be_v teach_v p._n have_v not_o these_o people_n any_o peculiar_a name_n which_o dwell_v under_o one_o meridian_n but_o differ_v in_o latitude_n m._n no_o but_o there_o be_v another_o kind_n of_o people_n have_v one_o longitude_n which_o have_v a_o peculiar_a name_n and_o be_v call_v anteci_n they_o be_v such_o inhabitant_n of_o the_o earth_n as_o dwell_v under_o one_o meridian_n and_o have_v the_o same_o longitude_n &_o also_o the_o same_o latitude_n but_o towards_o diverse_a pole_n so_o that_o as_o far_o the_o one_o dwell_v from_o the_o equator_fw-la northward_o the_o other_o have_v the_o same_o 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which_o be_v to_o the_o southward_o see_v the_o sun_n arise_v and_o the_o heaven_n move_a fro●_n the_o right_a hand_n to_o the_o left_a beside_o these_o inhabitant_n before_o name_v there_o be_v other_o to_o be_v note_v which_o because_o they_o go_v foot_n to_o foot_n right_o opposite_a one_o to_o the_o other_o they_o be_v therefore_o call_v of_o the_o grecian_n antipode_n and_o antichthones_n because_o they_o dwell_v in_o opposite_a place_n of_o the_o earth_n p._n i_o think_v it_o be_v impossible_a that_o you_o speak_v o●_n how_o can_v they_o that_o be_v under_o we_o walk_v upon_o the_o ea●●_n without_o fall_v can_v two_o man_n walk_v the_o one_o on_o the_o to_o of_o a_o wheel_n the_o other_o on_o the_o nether_a side_n thereof_o with_o out_o tumble_v down_o m._n your_o reason_n be_v not_o alike_o in_o the_o wheel_n and_o 〈◊〉_d the_o earth_n all_o they_o that_o dwell_v upon_o the_o earth_n have_v o●_n common_a centre_n in_o the_o globe_n of_o th●_n earth_n unto_o whi●●_n they_o do_v natural_o tend_v in_o respect_n of_o their_o gravity_n an●_n therefore_o where_o soever_o they_o stand_v they_o can_v fall_v from_o the_o earth_n but_o bend_v natural_o unto_o the_o centre_n thereo●_n but_o they_o which_o stand_v upon_o a_o wheel_n or_o any_o such_o roun●_n thing_n else_o have_v not_o any_o one_o point_n in_o the_o wheel_n or_o 〈◊〉_d the_o round_a body_n unto_o the_o which_o they_o do_v natural_a bend_v and_o therefore_o whensoever_o he_o come_v unto_o an●_n such_o place_n of_o the_o wheel_n wherein_o his_o leg_n can_v keep_v th●_n weightines_n of_o his_o body_n perpendicular_a and_o imminent_a the_o centre_n of_o the_o wheel_n he_o must_v needs_o fall_v from_o th●_n wheel_n towards_o that_o centre_n unto_o which_o natural_o he_o i●_n cline_v which_o be_v the_o centre_n of_o the_o earth_n this_o be_v certain_a both_o by_o reason_n and_o experience_n of_o our_o own_o countries_n that_n there_o be_v antipode_n and_o therefore_o let_v the_o tru●_n prevail_v with_o we_o more_o than_o the_o opinion_n either_o of_o a●gustine_n or_o lactantius_n who_o have_v stout_o deny_v t●●_n antipode_n yea_o lactantius_n as_o i_o remember_v hold_v it_o heresy_n and_o count_v they_o accurse_v that_o say_v there_o be_v antipode_n p._n how_o do_v you_o define_v the_o antipode_n m._n they_o be_v certain_a inhabitant_n of_o the_o earth_n right_o opposite_a one_o to_o another_o in_o the_o extremity_n of_o the_o diameter_n of_o the_o globe_n therefore_o the_o antipode_n have_v the_o same_o meridian_n yet_o they_o differ_v in_o longitude_n one_o from_o the_o other_o 80_o degree_n they_o have_v the_o same_o horizon_n indeed_o but_o differ_v in_o reason_n namely_o thus_o that_o the_o zenith_n or_o vertical_a point_n of_o the_o one_o be_v the_o nadir_n to_o the_o horizon_n of_o the_o other_o and_o contrariwise_o they_o have_v also_o the_o same_o latitude_n but_o bend_v towards_o contrary_a pole_n p._n how_o shall_v i_o ready_o by_o the_o globe_n find_v out_o who_o ●e_a antipode_n one_o to_o another_o m._n bring_v any_o point_n or_o place_n assign_v in_o the_o globe_n into_o the_o meridian_n and_o note_v what_o latitude_n it_o have_v the_o ●oint_n or_o place_n have_v the_o self_n same_o latitude_n in_o the_o merdian_n under_o the_o horizon_n be_v the_o habitation_n of_o they_o that_o ●●e_v antipode_n to_o the_o former_a such_o be_v the_o inhabitant_n of_o trinideda_n and_o java_fw-la maior_fw-la also_o the_o inhabitant_n of_o old_a and_o new_a guinea_n with_o infinite_a other_o place_n of_o the_o earth_n who_o antipode_n be_v not_o yet_o discoveree_v the_o antipode_n have_v all_o thing_n contrary_a except_v those_o that_o dwell_v ●nder_o the_o equinoctial_a if_o the_o heaven_n move_v to_o the_o one_o ●●om_n the_o left_a hand_n to_o the_o right_n it_o move_v contrary_a way_n into_o the_o other_o if_o it_o be_v day_n to_o the_o one_o it_o be_v night_n to_o the_o ●ther_n if_o the_o sun_n rise_v to_o the_o one_o he_o set_v to_o the_o other_o 〈◊〉_d the_o 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many_o as_o dwell_v within_o the_o obliquity_n thereof_o between_o tropic_n and_o tropic_n must_v needs_o see_v the_o sun_n in_o their_o zenith_n the_o rest_n from_o either_o tropic_n to_o each_o pole_n never_o have_v the_o sun_n in_o their_o zenith_n p._n how_o often_o may_v the_o sun_n be_v in_o the_o zenith_n m._n not_o above_o twice_o to_o any_o nation_n and_o to_o some_o but_o once_o as_o many_o as_o have_v their_o latitude_n equal_a to_o the_o great_a declination_n of_o the_o sun_n they_o never_o see_v the_o sun_n in_o their_o zenith_n but_o once_o such_o be_v all_o they_o that_o dwell_v just_a under_o the_o tropicke_n but_o as_o many_o as_o dwell_v within_o the_o two_o tropicke_n have_v the_o sun_n perpendicular_a over_o their_o head_n twice_o in_o the_o year_n namely_o at_o that_o time_n when_o the_o declination_n of_o the_o sun_n and_o the_o latitude_n of_o the_o place_n be_v equal_a one_o to_o the_o other_o for_o then_o the_o sun_n decline_v from_o the_o equator_fw-la come_v 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the_o horizon_n subduct_v the_o lesser_a from_o the_o great_a the_o remainder_n convert_v into_o hour_n and_o minute_n if_o need_v require_v express_v the_o ascension_n of_o the_o sign_n propound_v by_o the_o hour_n circle_v the_o length_n of_o time_n wherein_o any_o sign_n arise_v be_v thus_o seek_v out_o bring_v the_o head_n of_o any_o sign_n to_o the_o east_n side_n of_o the_o horizon_n set_v the_o index_n upon_o 12._o a_o clock_n move_v the_o globe_n west_n ward_n until_o the_o end_n of_o the_o say_a sign_n come_v to_o the_o horizon_n the_o index_n in_o the_o hour_n circle_n will_v express_v the_o length_n of_o time_n wherein_o the_o sign_n do_v arise_v these_o be_v the_o chief_a question_n move_v concern_v those_o thing_n which_o happen_v under_o the_o horizon_n p._n i_o pray_v you_o have_v the_o circle_n of_o position_n no_o other_o use_n then_o to_o rectify_v a_o figure_n m._n yes_o for_o it_o find_v that_o circle_n whereof_o it_o receave_v his_o name_n that_o be_v the_o circle_n of_o position_n which_o be_v but_o a_o great_a circle_n draw_v from_o the_o one_o intersection_n of_o the_o horizon_n and_o meridian_n unto_o the_o other_o through_o the_o centre_n of_o some_o star_n or_o any_o point_n else_o assign_v in_o the_o heaven_n divide_v the_o sphere_n into_o 2._o piece_n by_o it_o in_o erect_v of_o the_o 12._o house_n we_o find_v what_o notable_a star_n or_o what_o planet_n be_v in_o any_o of_o the_o house_n the_o distance_n of_o any_o circle_n of_o position_n from_o the_o meridian_n be_v find_v thus_o the_o circle_n of_o position_n be_v raise_v from_o the_o horizon_n unto_o any_o point_n assign_v in_o the_o globe_n move_v the_o quadrant_a of_o altitude_n fix_v to_o the_o zenith_n to_o the_o east_n or_o west_n point_n of_o the_o horizon_n as_o occasion_n require_v the_o degree_n of_o the_o quadrant_a contain_v between_o the_o say_a circle_n of_o position_n &_o the_o meridian_n express_v the_o quantity_n of_o the_o angle_n which_o it_o make_v each_o 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