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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
world_n circle_n pass_v pole_n 1,949 5 11.4508 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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as_o the_o one_o nor_o so_o thick_a as_o the_o other_o it_o become_v of_o that_o whiteness_n which_o we_o see_v if_o you_o desire_v to_o read_v the_o poetical_a fable_n or_o other_o discourse_n touch_v this_o circle_n you_o shall_v have_v they_o also_o in_o my_o book_n of_o the_o globe_n in_o plano_n p._n what_o use_n have_v this_o circle_n in_o the_o heaven_n m._n first_o it_o limit_v the_o tropical_a point_n whereof_o w●_n shall_v speak_v hereafter_o second_o it_o be_v a_o argument_n unto_o we_o to_o prove_v that_o the_o star_n move_v not_o in_o the_o firmament_n as_o fish_n in_o the_o sea_n or_o as_o bird_n in_o the_o air_n for_o if_o that_o be_v so_o it_o be_v most_o certain_a that_o the_o star_n which_o be_v in_o this_o circle_n at_o this_o present_a will_v present_o shift_v the_o same_o and_o pass_v aut_fw-la of_o it_o into_o some_o other_o place_n of_o the_o 8._o sphere_n which_o never_o fall_v so_o out_o but_o common_a experience_n witness_v this_o that_o the_o star_n which_o 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this_o side_n the_o equator_fw-la m._n you_o must_v note_v this_o that_o north_n and_o south_n be_v not_o take_v after_o our_o manner_n of_o way_n neither_o east_n or_o west_n north_n and_o south_n be_v take_v three_o manner_n of_o way_n one_o way_n simple_o as_o i_o speak_v of_o it_o even_o now_o the_o other_o be_v in_o respect_n as_o first_o for_o example_n what_o soever_o be_v from_o our_o zenith_n towards_o the_o north_n pole_n be_v say_v to_o be_v northward_o and_o what_o soever_o be_v from_o thence_o towards_o the_o south_n pole_n i●_n say_v to_o be_v southward_o and_o in_o this_o respect_n be_v cape_n saint_n vincent_n call_v the_o southcape_n be_v compare_v with_o cape_n sinister_a because_o it_o be_v towards_o the_o south_n pole_n in_o respect_n of_o this_o again_o north_n and_o south_n be_v take_v in_o respect_n of_o the_o ecliptic_n whereupon_o every_o star_n distant_a from_o the_o ecliptic_a towards_o each_o pole_n be_v say_v to_o have_v north_n or_o south_n latitude_n 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unproper_o term_v so_o and_o in_o the_o use_n of_o the_o globe_n you_o must_v especial_o take_v heed_n that_o when_o there_o be_v mention_v make_v of_o any_o sign_n you_o have_v not_o recourse_n to_o these_o constellation_n but_o to_o the_o equal_a partition_n of_o the_o ecliptic_a which_o be_v proper_o call_v the_o sign_n p._n what_o other_o thing_n be_v to_o be_v note_v in_o the_o sign_n m._n their_o expression_n and_o their_o division_n the_o sign_n be_v express_v two_o manner_n of_o way_n either_o by_o character_n or_o else_o by_o name_n both_o of_o they_o be_v diligent_o to_o be_v observe_v for_o their_o use_n be_v manifold_a their_o name_n and_o character_n be_v these_o 1._o aries_n the_o ram_n ♈_o ●_o taurus_n the_o bull._n ♉_o 3_o gemini_fw-la the_o twin_n ♊_o ●_o cancer_n the_o crab_n ♋_o 5._o leo_n the_o lion_n ♌_o 6._o virgo_fw-la the_o virgin_n ♍_o 7._o libra_n the_o balance_n ♎_o 8._o scorpio_n the_o scorpion_n ♏_o 9_o sagittarius_fw-la the_o archer_n ♐_o 10._o capricornus_fw-la the_o goat_n ♑_o 11._o aquarius_n the_o waterman_n ♒_o 12._o pisces_fw-la the_o fish_n ♓_o every_o sign_n as_o you_o see_v except_v one_o receave_v his_o name_n from_o some_o live_a ●aeature_n and_o therefore_o that_o broad_a circle_n in_o the_o ring_a sphere_n which_o you_o mention_v before_o the_o which_o also_o be_v to_o be_v understand_v in_o the_o globe_n be_v call_v the_o zodiac_n by_o the_o grecian_n who_o in_o their_o language_n call_v a_o live_a creature_n zoon_o and_o zodion_n yet_o some_o will_v have_v it_o so_o call_v of_o zoe_n life_n because_o the_o sun_n pass_v to_o and_o fro_o in_o it_o procure_v life_n unto_o live_a creature_n p._n what_o be_v the_o reason_n why_o they_o choose_v these_o name_n and_o none_o other_o m._n name_n be_v best_a take_v from_o familiar_a thing_n wherewith_o we_o be_v best_a acquaint_v for_o somuch_o therefore_o as_o the_o effect_n of_o the_o sun_n in_o the_o course_n of_o the_o year_n be_v great_o correspondent_a so_o certain_a property_n find_v in_o these_o common_a thing_n therefore_o the_o astronomer_n think_v it_o good_a to_o entitle_v the_o sign_n by_o their_o name_n as_o for_o example_n we_o know_v the_o ram_n to_o be_v of_o nature_n hot_a and_o dry_a carry_v his_o chief_a credit_n in_o his_o forehead_n such_o be_v the_o effect_n of_o the_o sun_n in_o this_o sign_n therein_o he_o begin_v to_o make_v show_n of_o his_o heat_n &_o with_o his_o heat_n he_o infer_v a_o dryness_n as_o may_v be_v see_v by_o the_o march_n wind_n which_o then_o begin_v to_o blow_v when_o the_o sun_n enter_v into_o this_o sign_n the_o second_o sign_n be_v the_o bull_n who_o force_n be_v more_o than_o the_o ram_n and_o his_o complexion_n be_v melancholic_a even_o so_o be_v the_o heat_n of_o the_o sun_n augment_v and_o that_o melancholic_a humour_n begin_v to_o abound_v the_o third_o sign_n be_v gemini_fw-la the_o twin_n which_o express_v the_o double_a force_n of_o the_o sun_n and_o the_o natural_a inclination_n of_o each_o live_a thing_n unto_o copulation_n at_o that_o time_n of_o the_o year_n the_o four_o sign_n which_o be_v the_o crab_n express_v the_o return_n of_o the_o sun_n and_o his_o go_v backward_o as_o it_o be_v for_o the_o sun_n after_o he_o be_v come_v to_o the_o head_n of_o this_o sign_n decline_v no_o more_o from_o the_o equator_fw-la but_o return_v again_o near_o and_o near_o to_o that_o circle_n and_o here_o upon_o the_o head_n of_o this_o sign_n be_v call_v the_o tropical_a point_n and_o that_o tropic_n which_o touch_v the_o ecliptic_a in_o that_o point_n be_v call_v the_o tropic_n of_o cancer_n moreover_o forsomuch_o as_o the_o lion_n of_o all_o other_o creature_n be_v the_o strong_a and_o the_o hot_a and_o never_o free_v
to_o end_v the_o ●●●●●●es_n also_o call_v if_o finitor_n that_o be_v the_o end_a because_o it_o limi●●h_v our_o sight_n p._n you_o say_v it_o be_v a_o fix_a circle_n what_o mean_v that_o m._n my_o meaning_n be_v that_o it_o never_o stir_v nor_o mo●●●h_n as_o it_o may_v be_v prove_v by_o a_o most_o certain_a argument_n ●●ken_v from_o the_o pole_n thereof_o in_o this_o manner_n the_o horizon_n as_o you_o may_v perceive_v by_o the_o globe_n cut_v the_o meridian_n at_o right_a angle_n the_o pole_n therefore_o of_o the_o horizon_n by_o that_o general_a rule_n which_o i_o give_v you_o at_o the_o first_o must_v ●●edes_o be_v in_o the_o meridian_n the_o one_o of_o they_o be_v that_o point_n 〈◊〉_d the_o meridian_n or_o that_o point_n of_o the_o heaven_n which_o be_v ●●●ht_v over_o our_o head_n and_o be_v call_v the_o zenith_n the_o other_o be_v ●●e_z point_n right_a under_o our_o foot_n and_o be_v call_v the_o nadir_n 〈◊〉_d then_o the_o pole_n be_v the_o point_n direct_o above_o and_o direct_o beneath_o we_o where_o we_o stand_v and_o no_o pole_n can_v ●●me_n near_o to_o his_o circle_n in_o one_o place_n than_o in_o a_o other_o ●●t_n be_v always_o equal_o distant_a on_o every_o side_n from_o it_o it_o must_v needs_o follow_v that_o so_o long_o as_o we_o stand_v still_o the_o horizon_n must_v be_v fix_v for_o if_o it_o shall_v rise_v upward_o it_o ●ust_z come_v near_o if_o it_o shall_v move_v downward_o it_o ●ust_z fall_v far_o from_o the_o vertical_a point_n which_o be_v our_o zenith_n and_o the_o pole_n of_o that_o circle_n p._n what_o then_o do_v the_o horizon_n move_v when_o we_o move_v m._n not_o so_o but_o that_o horizon_n stand_v still_o and_o ●●u_n transport_v yourself_o into_o another_o so_o that_o you_o be_v ●●yd_v to_o change_v your_o horizon_n p._n be_v there_o then_o so_o many_o orison_n m._n herein_o be_v the_o difference_n between_o the_o other_o circle_n of_o the_o globe_n before_o name_v and_o the_o horizon_n they_o be_v but_o one_o in_o the_o heaven_n as_o one_o equator_fw-la one_o ecliptic_a etc._n etc._n but_o the_o orison_n be_v infinite_a not_o to_o be_v number_v every_o man_n have_v his_o horizon_n in_o truth_n yea_o a●_n many_o point_n as_o there_o can_v be_v conceive_v in_o the_o half_a 〈◊〉_d the_o heaven_n so_o many_o orison_n be_v to_o be_v understand_v though_o not_o sensible_o to_o be_v discern_v in_o a_o small_a space_n for_o the_o sensible_a alteration_n of_o our_o horizon_n can_v hard●●_n be_v perceave_v in_o 400._o furlong_n which_o amount_v unto_o 〈◊〉_d mile_n p._n you_o say_v that_o the_o horizon_n divide_v the_o heaven_n b●_n how_o do_v it_o divide_v it_o into_o equal_a or_o into_o unequal_a part_n m._n it_o be_v a_o great_a circle_n therefore_o it_o divide_v it_o in●●_n equal_a part_n p._n when_o i_o look_v round_o about_o i_o stand_v in_o 〈◊〉_d plain_a champion_n field_n do_v i_o see_v just_a the_o one_o half_a of_o th●_n heaven_n m._n here_o you_o must_v understand_v that_o the_o horizon_n be_v take_v two_o several_a way_n the_o one_o be_v call_v rational_a 〈◊〉_d natural_a because_o it_o be_v the_o true_a horizon_n represent_v by_o 〈◊〉_d horizon_n of_o the_o globe_n and_o not_o by_o sense_n but_o by_o geomet●●_n call_v reason_n to_o be_v comprehend_v to_o divide_v the_o heaume_n equal_o the_o other_o be_v sensible_a and_o apparent_a that_o i●_n it_o be_v that_o space_n of_o the_o land_n and_o sea_n which_o our_o eye_n sig●●_n behold_v and_o from_o thence_o run_v on_o unto_o the_o heaven_n and_o for_o so_o much_o as_o the_o centre_n of_o the_o horizon_n be_v 〈◊〉_d our_o sight_n the_o which_o be_v far_o distant_a from_o the_o centre_n 〈◊〉_d the_o world_n through_o which_o the_o diameter_n of_o the_o true_a horizon_n do_v pass_v therefore_o reason_n tell_v we_o this_o tha●_n it_o can_v be_v so_o great_a as_o the_o other_o be_v and_o consequent_o 〈◊〉_d can_v divide_v the_o heaven_n into_o two_o equal_a part_n ye●_n consider_v that_o the_o globe_n of_o the_o earth_n in_o respect_n of_o th●_n heaven_n be_v insensible_a so_o that_o our_o sight_n can_v make●_n sensible_a distinction_n between_o each_o horizon_n therefore_o although_o our_o reason_n affirm_v a_o unequalitie_n we_o acc●●nt_v they_o equal_a p._n have_v you_o any_o thing_n else_o to_o be_v add_v touch_v 〈◊〉_d horizon_n m._n as_o the_o equinoctial_a be_v the_o begin_n of_o all_o declination_n and_o the_o ecliptic_n be_v the_o begin_n of_o all_o latitude_n i●●he_fw-mi celestial_a globe_n so_o be_v the_o horizon_n the_o beginning_n of_o all_o elevation_n altitude_n or_o height_n whatsoever_o be_v in_o the_o horizon_n have_v no_o elevation_n whatsoever_o be_v above_o it_o have_v a●_n elevation_n more_o or_o less_o as_o hereafter_o you_o shall_v hear_v ●●s_o the_o beginning_n also_o of_o all_o depression_n in_o it_o be_v count_v the_o amplitude_n of_o every_o thing_n that_o rise_v or_o set_v in_o the_o heaven_n and_o the_o several_a coast_v of_o the_o sun_n or_o star_n which_o be_v call_v the_o azimuth_n or_o vertical_a circle_n etc._n etc._n but_o 〈◊〉_d we_o now_o come_v to_o the_o meridian_n you_o see_v that_o it_o cut_v the_o horizon_n at_o right_a angle_n and_o stand_v so_o upon_o 〈◊〉_d that_o it_o lean_v neither_o to_o the_o one_o hand_n nor_o to_o the_o o●●er_n therefore_o the_o pole_n of_o it_o must_v needs_o be_v in_o the_o horizon_n in_o the_o east_n and_o west_n point_v thereof_o in_o it_o be_v con●●ined_v the_o pole_n of_o the_o world_n and_o the_o pole_n of_o the_o horizon_n which_o i_o call_v before_o the_o zenith_n and_o the_o nadir_n the_o degree_n thereof_o be_v 360._o not_o continue_v as_o the_o degree_n of_o the_o equator_fw-la but_o be_v count_v from_o 1._o to_o 90._o for_o so_o it_o be_v most_o convenient_a for_o the_o raise_n of_o the_o pole_n and_o the_o equator_fw-la above_o the_o horizon_n the_o use_n of_o it_o simple_o consider_v in_o itself_o be_v the_o divide_n of_o the_o heaven_n into_o two_o equal_a part_n whereof_o the_o one_o be_v the_o east_n and_o the_o ●ther_n the_o west_n whatsoever_o be_v towards_o the_o rise_n of_o the_o sun_n be_v the_o east_n whatsoever_o be_v towards_o his_o set_n be_v the_o west_n part_n of_o the_o world_n and_o by_o it_o the_o day_n be_v distinguish_v equal_o from_o it_o as_o you_o hear_v before_o we_o begin_v to_o account_v the_o point_n of_o the_o compass_n and_o the_o variation_n thereof_o p._n be_v the_o meridian_n many_a in_o number_n or_o 〈◊〉_d there_o no_o more_o than_o one_o as_o we_o see_v in_o the_o globe_n m._n the_o meridian_n be_v not_o so_o many_o as_o the_o ho●●rons_n in_o number_n yet_o be_v they_o so_o many_o that_o we_o m●●_n term_v they_o infinite_a in_o respect_n which_o way_n soever_o yo●_n go_v the_o horizon_n differ_v because_o your_o vertical_a po●●●_n differ_v but_o the_o meridian_n differ_v only_o between_o 〈◊〉_d east_n and_o west_n if_o you_o go_v north_n or_o south_n your_o me●dian_n continual_o be_v the_o same_o because_o your_o zenith_n 〈◊〉_d vertical_a point_n be_v always_o in_o the_o selfsame_o line_n so_o th●●_n the_o meridian_n in_o truth_n be_v so_o many_o in_o number_n as_o the●_n be_v point_n between_o the_o south_n and_o north_n part_n of_o th●_n globe_n as_o you_o see_v it_o divide_v by_o the_o meridian_n though_o 〈◊〉_d sense_n they_o can_v be_v discern_v notwithstanding_o w●●_n common_o count_v those_o that_o be_v of_o one_o shire_n or_o ci●●●_n or_o town_n to_o be_v under_o one_o meridian_n because_o the_o se●sible_a distinction_n of_o one_o meridian_n be_v not_o perceave_v scarce_o in_o 300._o furlong_n which_o be_v 37._o mile_n ½_n thus_o mu●●_n touch_v the_o great_a circle_n of_o the_o globe_n as_o they_o be_v simple_o consider_v by_o themselves_o now_o of_o they_o joint_o on●_n with_o a_o other_o and_o first_o general_o without_o respect_n ha●●_n unto_o any_o certain_a position_n of_o the_o sphere_n here_o the●●_n thing_n do_v offer_v themselves_o to_o be_v consider_v 1._o the_o equal_a division_n of_o the_o great_a circle_n by_o the_o horizon_n 2._o th●_n uniform_a motion_n of_o the_o equator_fw-la 3._o the_o declination_n 4._o the_o longitude_n 5._o the_o latitude_n 6._o the_o four_o cardinal_a point_n o●_n the_o world_n 7._o the_o goodness_n of_o the_o globe_n howsoever_o the_o globe_n be_v situate_v in_o the_o horizon_n be_v the_o pole_n high_a o●_n low_a from_o it_o or_o just_a in_o the_o same_o the_o great_a circle_n of_o the_o globe_n be_v equal_o divide_v by_o the_o horizon_n except_o they_o be_v conicident_n and_o hide_v therewith_o p._n may_v they_o then_o be_v hide_v with_o the_o horizon_n m._n yea_o there_o be_v none_o of_o they_o except_v the_o meridian_n but_o in_o some_o position_n of_o the_o sphere_n it_o may_v be_v just_a in_o ●●e_z horizon_n and_o cover_v with_o
it_o as_o thus_o for_o example_n 〈◊〉_d the_o two_o pole_n of_o the_o globe_n be_v in_o the_o horizon_n the_o two_o ●●●ures_n interchangeablie_o be_v in_o the_o horizon_n if_o the_o pole_n 〈◊〉_d raze_v 66._o degree_n 30._o min_fw-mi above_o the_o horizon_n the_o ecliptic_a be_v sometime_o cover_v therewith_o namely_o when_o th●t_o tropical_a point_n which_o be_v next_o to_o the_o pole_n elevate_v ●●mmeth_v to_o the_o north_n side_n of_o the_o meridian_n last_o of_o all_o ●●en_o the_o pole_n be_v in_o the_o zenith_n equal_o distinct_a on_o every_o ●●e_v from_o the_o meridian_n then_o be_v the_o equator_fw-la continual_o in_o the_o horizon_n what_o be_v to_o be_v note_v thereby_o i_o will_v de●●●re_v unto_o you_o hereafter_o only_o mark_v you_o my_o word_n at_o 〈◊〉_d time_n otherwise_o the_o great_a circle_n be_v equal_o divide_v 〈◊〉_d the_o horizon_n whereby_o you_o shall_v note_v this_o touch_a 〈◊〉_d equator_fw-la that_o whensoever_o the_o sun_n come_v unto_o ●●●t_a circle_n the_o day_n and_o the_o night_n be_v of_o a_o equal_a length_n ●●●o_o concern_v the_o ecliptic_a you_o see_v this_o that_o there_o 〈◊〉_d always_o six_o sign_n above_o and_o six_o beneath_o save_v 〈◊〉_d that_o very_a moment_n of_o time_n which_o i_o speak_v of_o even_o ●●w_o and_o therefore_o when_o any_o sign_n do_v rise_v the_o opposi●●_n sign_n do_v always_o set_v as_o if_o ♈_o arise_v ♎_o do_v set_v if_o ♋_o 〈◊〉_d ♑_o do_v arise_v and_o contrary_a wise_a the_o second_o thing_n to_o be_v note_v be_v the_o uniform_a rise_n and_o set_v of_o the_o equa●●●_n which_o howsoever_o the_o globe_n be_v set_v rise_v and_o set●●●●_n neither_o fast_o nor_o slow_a at_o any_o one_o time_n more_o than_o 〈◊〉_d ●n_n other_o whereupon_o as_o i_o say_v before_o it_o be_v the_o measure_n of_o all_o time_n the_o entire_a revolution_n of_o it_o be_v the_o measure_n of_o ●4_n hour_n and_o the_o rise_n of_o every_o 15._o degree_n be_v the_o m●●_n sure_a of_o a_o hour_n p._n how_o shall_v i_o induce_v myself_o to_o believe_v this_o uniform_a motion_n of_o the_o equator_fw-la p._n first_o the_o situation_n of_o the_o equator_fw-la in_o the_o midst_n of_o the_o globe_n between_o the_o two_o pole_n may_v move_v you_o t●_n believe_v it_o even_o as_o therefore_o the_o motion_n of_o the_o heave●_n be_v certain_a &_o do_v not_o move_v but_o equal_o so_o do_v the_o 〈◊〉_d quinoctiall_a move_v also_o second_o it_o make_v the_o same_o angl●_n with_o the_o horizon_n in_o any_o certain_a position_n of_o the_o sphe●●_n without_o alteration_n which_o thing_n the_o ecliptic_n do_v not_o p._n how_o shall_v i_o know_v that_o m._n raise_v the_o the_o pole_n of_o the_o globe_n as_o high_a as_o yo●_n please_v above_o the_o horizon_n as_o for_o example_n 50._o degree●_n the_o angle_n which_o the_o equator_fw-la make_v with_o the_o horizon_n will_v be_v 40._o broad_a as_o you_o may_v perceive_v by_o the_o degree_n 〈◊〉_d the_o meridian_n intercept_v between_o they_o both_o the_o turn_n the_o globe_n round_o and_o that_o angle_n will_v still_o continu●_n of_o the_o same_o quantity_n but_o the_o angle_n which_o the_o eclptic●_n make_v with_o the_o horizon_n will_v vary_v diverslie_o last_o of_o 〈◊〉_d the_o uniform_a rise_n and_o set_v of_o the_o equator_fw-la may_v 〈◊〉_d perceive_v by_o the_o hour_n circle_n for_o if_o you_o place_v it_o as_o yo●_n be_v teach_v before_o and_o apply_v the_o index_n unto_o twelue●_o clock_n and_o then_o mark_v what_o degree_n of_o the_o equator_fw-la be_v 〈◊〉_d the_o east_n or_o west_n side_n of_o the_o meridian_n in_o move_v 〈◊〉_d globe_n until_o the_o index_n light_n upon_o one_o a_o clock_n you_o sh●●_n find_v 15._o degree_n of_o the_o equator_fw-la to_o rise_v and_o to_o set_v and_o consequent_o it_o will_v fall_v out_o from_o hour_n to_o hour_n a●_n here_o i_o must_v put_v you_o in_o mind_n of_o one_o thing_n that_o for_o 〈◊〉_d much_o as_o the_o equator_fw-la be_v the_o measure_n of_o time_n the_o you●_n student_n in_o astronomy_n ought_v diligent_o to_o endeavour_n th●_n self_n to_o be_v cunning_a and_o ready_a to_o convert_v the_o degree_n minute_n second_o etc._n etc._n of_o the_o equator_fw-la into_o part_n of_o tim●_n and_o contrariwise_o the_o part_n of_o time_n into_o degree_n of_o the_o ●quator_fw-la the_o which_o thing_n be_v most_o easy_a unto_o they_o that_o 〈◊〉_d skilful_a in_o the_o rule_n of_o proportion_n for_o if_o 15._o degr_n do_v ye●_n hour_n they_o may_v easy_o infer_v what_o 30._o or_o 40._o degr_n etc._n etc._n ●●l_v yield_v and_o again_o if_o 1._o hour_n give_v 15._o degr_n what_o shall_v 2.3_o or_o 4._o hour_n yield_v etc._n etc._n the_o three_o thing_n which_o crave_v no_o certain_a position_n of_o the_o sphere_n be_v the_o declination_n a_o thing_n to_o be_v note_v by_o all_o student_n in_o astronomy_n declination_n be_v the_o distance_n of_o any_o thing_n in_o the_o celestial_a globe_n from_o the_o equator_fw-la measure_v by_o the_o degree_n of_o a_o great_a circle_n draw_v from_o the_o pole_n of_o the_o world_n p._n but_o what_o great_a circle_n be_v that_o by_o who_o degree_n the_o declination_n be_v to_o be_v measure_v m._n it_o be_v that_o great_a circle_n which_o be_v draw_v from_o the_o pole_n of_o the_o world_n through_o the_o centre_n of_o that_o thing_n who_o declination_n i_o will_v know_v by_o the_o globe_n but_o for_o so_o much_o as_o it_o be_v a_o infinite_a and_o a_o impossible_a work_n to_o draw_v through_o every_o point_n assign_v a_o circle_n therefore_o we_o make_v 〈◊〉_d meridian_n the_o common_a instrument_n to_o find_v the_o declination_n so_o that_o whether_o we_o seek_v the_o declination_n ●●●ny_n star_n in_o the_o heaven_n or_o whether_o we_o seek_v the_o de●●●ation_n of_o any_o point_n assign_v in_o the_o ecliptic_n which_o forearm_v also_o the_o declination_n of_o the_o sun_n because_o the_o ●●●ne_n always_o possess_v one_o degree_n or_o other_o of_o the_o e●●pticke_a this_o be_v your_o rule_n if_o you_o bring_v the_o star_n or_o any_o assign_a degree_n of_o the_o ecliptic_n unto_o the_o meridian_n the_o degree_n of_o the_o meridian_n intercept_v between_o the_o equator_fw-la &_o the_o asigned_a star_n or_o degree_n express_v the_o declination_n p._n you_o say_v that_o i_o must_v bring_v the_o star_n or_o degree_n as●●●ned_v to_o the_o meridian_n but_o be_v it_o no_o matter_n unto_o which_o ●ide_v of_o the_o meridian_n i_o bring_v it_o m._n yes_o it_o be_v a_o great_a matter_n here_o therefore_o you_o must_v call_v to_o mind_n that_o which_o i_o tell_v you_o before_o concern_v the_o apply_v of_o the_o hour_n circle_n unto_o the_o meridian_n if_o the_o ●●elcree_n of_o the_o globe_n come_v through_o the_o midst_n of_o the_o meridian_n or_o be_v apply_v to_o the_o right_n or_o left_a side_n of_o the_o meridian_n the_o star_n or_o degree_n assign_v who_o declination_n yo●_n will_v know_v must_v be_v apply_v to_o the_o meridian_n accord_o either_o to_o the_o midst_n to_o the_o right_n or_o left_a side_n there●●_n p._n you_o say_v before_o that_o the_o equator_fw-la be_v the_o beginning_n of_o all_o declination_n and_o whatsoever_o be_v under_o th●_n circle_n have_v no_o declination_n whereupon_o i_o may_v infer●●_fw-la this_o that_o the_o head_n of_o ♈_o and_o ♎_o have_v no_o declination_n m._n it_o be_v true_a but_o what_o point_n soever_o be_v either_o 〈◊〉_d the_o one_o side_n or_o the_o other_o of_o the_o equator_fw-la it_o have_v a_o declination_n according_a to_o the_o denomination_n of_o the_o pole_n ●●ward_n which_o it_o decline_v p._n then_o all_o declination_n be_v either_o northern_a or_o southern_a whether_o it_o be_v of_o the_o sun_n or_o star_n but_o wh●_n be_v the_o great_a quantity_n that_o they_o may_v have_v m._n the_o term_n and_o limit_n of_o the_o declination_n as_o y●●_n have_v hear_v be_v the_o equator_fw-la and_o the_o thing_n propounde●_n who_o declination_n you_o will_v know_v the_o great_a dec●●●nation_n therefore_o of_o any_o thing_n propound_v can_v 〈◊〉_d more_o than_o 90._o degree_n because_o nothing_o can_v be_v farth●●_n distant_a from_o the_o equator_fw-la than_o 90_o degree_n the_o po●●_n therefore_o have_v the_o great_a declination_n and_o whatsoe●●_n it_o be_v that_o come_v near_a unto_o they_o have_v a_o gre●●_n declination_n than_o that_o which_o be_v far_o off_o from_o the●●_n whatsoever_o be_v near_a the_o equator_fw-la have_v the_o least_o declination_n the_o chief_a regard_n of_o the_o great_a declination_n be_v 〈◊〉_d the_o ecliptic_n wherein_o 2._o point_n have_v great_a declination_n than_o all_o the_o rest_n namely_o the_o head_n of_o ♋_o and_o ♑_o whi●●_n decline_v according_a to_o the_o latter_a observation_n 23._o d._n 28._o 〈◊〉_d p._n why_o have_v there_o be_v a_o difference_n find_v in_o tha●_n m._n as_o there_o have_v be_v a_o difference_n find_v in_o th●_n declination_n of_o the_o fix_a star_n
the_o degree_n begin_v there_o be_v a_o fault_n in_o the_o 〈◊〉_d be_v for_o it_o be_v a_o sign_n that_o it_o sinck_v down_o to_o much_o ●●●ard_n the_o nethermost_a pole_n or_o else_o be_v raise_v to_o high_a ●●●ard_n the_o uppermost_a pole_n if_o the_o equator_fw-la in_o the_o revo●●●on_n of_o the_o globe_n do_v not_o rise_v and_o fall_v just_a upon_o the_o 〈◊〉_d and_o west_n point_n of_o the_o horizon_n there_o be_v a_o fault_n as_o ●●●ore_o or_o else_o the_o paper_n be_v not_o past_v just_a in_o a_o circle_n 〈◊〉_d ●he_n just_o half_a of_o the_o meridian_n be_v not_o above_o and_o be●●●th_v the_o horizon_n there_o be_v a_o fault_n either_o in_o the_o hori●●●_n itself_o which_o warp_v or_o else_o in_o let_v of_o the_o me●●●an_n into_o the_o horizon_n which_o may_v be_v remedy_v either_o ●●raysing_v it_o high_o or_o let_v it_o sink_v low_a if_o the_o ho●●●on_n do_v not_o cut_v the_o equator_fw-la into_o two_o equal_a piece_n ●●●re_v be_v the_o same_o fault_n in_o the_o globe_n also_o except_o the_o ho●●●on_n warp_v thus_o have_v i_o deliver_v as_o brief_o as_o i_o ●●●ld_v those_o thing_n which_o be_v to_o be_v consider_v in_o the_o ●●at_a circle_n of_o the_o globe_n joint_o one_o with_o a_o other_o ●●hout_n regard_n have_v unto_o any_o certain_a position_n of_o the_o ●●ere_o it_o remain_v therefore_o now_o to_o speak_v of_o they_o ●●●ey_n require_v a_o certain_a position_n which_o we_o common_o 〈◊〉_d the_o rectify_v of_o the_o globe_n p._n what_o be_v it_o to_o rectify_v the_o globe_n m._n to_o rectify_v the_o globe_n be_v so_o to_o situate_v it_o that_o it_o ●●●y_v be_v answerable_a to_o the_o heaven_n so_o that_o the_o meridian_n 〈◊〉_d ●he_n globe_n the_o pole_n and_o axletree_n with_o the_o horizon_n 〈◊〉_d answerable_a to_o the_o same_o circle_n in_o the_o heaven_n whe●●●r_v it_o be_v a_o right_a sphere_n as_o we_o term_v it_o or_o a_o crooked_a p._n what_o mean_v you_o by_o a_o right_a sphere_n &_o a_o crooked_a m._n you_o see_v this_o that_o howsoever_o you_o place_v 〈◊〉_d globe_n in_o the_o horizon_n the_o equinoctial_a either_o make●_n a_o angle_n with_o the_o horizon_n or_o be_v parallel_v unto_o it_o a●_n fall_v just_a within_o it_o if_o it_o make_v a_o angle_n with_o the_o horizon_n the_o angle_n be_v either_o right_a or_o oblique_a according_a 〈◊〉_d this_o angle_n the_o sphere_n be_v call_v either_o right_a or_o obliqne_v a_o right_a sphere_n be_v that_o wherein_o the_o equinoctial_a and_o 〈◊〉_d horizon_n cut_v one_o a_o other_o at_o right_a angle_n therefore_o the_o pole_n of_o the_o equinoctial_a which_o be_v the_o pole_n of_o t●●_n world_n be_v in_o the_o horizon_n and_o contrariwise_o the_o pole_n 〈◊〉_d the_o horizon_n be_v in_o the_o equinoctial_a so_o that_o the_o equinoctial_a pass_v both_o direct_o over_o our_o head_n and_o under_o 〈◊〉_d foot_n the_o horizon_n in_o regard_n of_o this_o concourse_n at_o rig●●_n angle_n with_o the_o equator_fw-la be_v call_v also_o a_o right_a horizon_n and_o here_o you_o be_v to_o note_v this_o diligent_o for_o your_o ease●_n use_v of_o the_o globe_n that_o the_o meridian_n may_v supply_v 〈◊〉_d place_n of_o a_o right_a horizon_n because_o it_o have_v all_o the_o property_n thereof_o for_o as_o the_o horizon_n of_o a_o right_a sphere_n cu●teth_v the_o equinoctial_a at_o right_a angle_n so_o do_v the_o meridian_n as_o the_o pole_n of_o the_o world_n be_v in_o the_o right_a horizon_n so_o be_v they_o in_o the_o meridian_n as_o the_o right_a horizon_n di●deth_v all_o the_o circle_n of_o the_o globe_n be_v they_o great_a or_o li●●_n into_o two_o equal_a part_n so_o do_v the_o meridian_n whereupon_o we_o take_v this_o for_o a_o general_a rule_n that_o what_o conclusion●_n ever_o in_o the_o use_n of_o the_o globe_n be_v to_o be_v try_v by_o the_o horizon_n of_o the_o right_a sphere_n the_o same_o may_v with_o lesser_a trouble_n 〈◊〉_d try_v by_o the_o meridian_n p._n by_o that_o which_o you_o have_v speak_v of_o a_o right_a spher●●_n i_o may_v easy_o gather_v what_o a_o oblique_a or_o as_o we_o tearm●●_n it_o a_o crooked_a sphere_n be_v i_o think_v i_o may_v right_o define_v 〈◊〉_d oblique_a sphere_n to_o be_v that_o wherein_o the_o equator_fw-la make●●_n a_o oblique_a angle_n with_o the_o horizon_n whereupon_o th●_n 〈◊〉_d need_v follow_v as_o a_o consequent_a that_o one_o of_o the_o ●●s_o be_v always_o above_o the_o horizon_n and_o the_o other_o be●●h_n either_o more_o or_o less_o m._n you_o say_v true_a and_o therefore_o this_o also_o do_v ensue_v 〈◊〉_d a_o oblique_a sphere_n may_v admit_v all_o the_o degree_n of_o ●●●parison_n that_o be_v it_o may_v be_v oblique_a it_o may_v be_v more_o ●●●que_n it_o may_v be_v most_o oblique_a it_o be_v oblique_a when_o the_o 〈◊〉_d be_v raise_v never_o so_o little_a above_o the_o horizon_n it_o be_v most_o ●●●que_a when_o the_o pole_n be_v raise_v most_o above_o the_o horizon_n 〈◊〉_d be_v when_o the_o pole_n be_v in_o our_o zenith_n and_o the_o equi●●●tiall_a be_v coincident_a with_o the_o horizon_n the_o horizon_n in_o ●●●rd_n of_o this_o oblique_a angle_n make_v with_o the_o equator_fw-la be_v ●●ed_v also_o a_o oblique_a horizon_n moreover_o you_o must_v ●●e_v this_o that_o whether_o the_o sphere_n be_v right_a or_o crooked_a ●●arre_o as_o the_o equinoctial_a be_v distant_a from_o the_o horizon_n ●●●rre_o be_v the_o pole_n of_o the_o equinoctial_a distant_a from_o the_o 〈◊〉_d of_o the_o horizon_n which_o be_v our_o zenith_n and_o again_o ●●arre_o as_o the_o zenith_n be_v from_o the_o equator_fw-la so_o far_o be_v the_o ●●e_z from_o the_o horizon_n if_o the_o equinoctial_a be_v 90._o de●●es_n above_o the_o horizon_n the_o zenith_n be_v 90._o degree_n di●●t_v from_o the_o pole_n of_o the_o equator_fw-la if_o the_o equator_fw-la be_v 〈◊〉_d degree_n above_o the_o horizon_n the_o zenith_n be_v 30._o degree_n ●●●ue_v the_o pole_n if_o the_o equator_fw-la and_o the_o horizon_n do_v ●●●se_v one_o with_o a_o other_o the_o pole_n and_o the_o zenith_n be_v 〈◊〉_d ●he_v one_o point_n 〈◊〉_d what_o be_o i_o to_o learn_v by_o this_o for_o my_o instruction_n m._n hereby_o you_o may_v learn_v how_o to_o set_v the_o quadrant_a ●●altitude_n in_o his_o due_a place_n for_o if_o from_o the_o pole_n upward_o you_o count_v so_o many_o degree_n of_o the_o meridian_n as_o 〈◊〉_d contain_v between_o the_o equator_fw-la and_o the_o horizon_n 〈◊〉_d otherwise_o if_o from_o the_o equator_fw-la upward_o you_o count_v 〈◊〉_d many_o degree_n of_o the_o meridian_n as_o be_v contain_v between_o the_o pole_n and_o the_o horizon_n there_o be_v the_o 〈◊〉_d place_n unto_o which_o you_o must_v fasten_v the_o say_a quadran●_n p._n let_v we_o now_o return_v from_o whence_o we_o depart_v tell_v i_o i_o pray_v you_o be_v it_o always_o requisite_a that_o the_o glo●●_n shall_v be_v in_o situation_n just_a correspondent_a to_o the_o fac●_n the_o heaven_n m._n no._n in_o most_o conclusion_n it_o be_v only_o requisite_a that_o the_o pole_n of_o the_o globe_n shall_v be_v raise_v accord_n 〈◊〉_d to_o the_o pole_n of_o the_o heaven_n for_o otherwise_o we_o can_v ●●●taine_v to_o the_o truth_n of_o the_o question_n but_o the_o set_a of●●_n globe_n due_a north_n and_o south_n by_o the_o help_n of_o the_o nee●_n or_o the_o set_n of_o it_o level_v by_o the_o plommet_n line_n be_v 〈◊〉_d always_o necessary_a when_o they_o be_v necessary_a i_o will_v 〈◊〉_d you_o hereafter_o the_o height_n of_o the_o pole_n must_v either_o give_v or_o be_v seek_v out_o p._n i_o perceive_v your_o meaning_n now_o to_o the_o purp●●●_n concern_v the_o use_n of_o the_o circle_n of_o the_o globe_n when_o 〈◊〉_d globe_n require_v a_o certain_a position_n or_o as_o you_o calle●_n a_o rectify_v with_o which_o circle_n shall_v we_o begin_v m._n with_o the_o horizon_n for_o either_o in_o that_o or_o fro●_n that_o most_o of_o the_o proposition_n do_v arise_v first_o of_o all_o let_v 〈◊〉_d call_v in_o question_n the_o rise_n and_o set_v of_o the_o sun_n 〈◊〉_d star_n the_o rise_n and_o set_v of_o the_o star_n be_v to_o 〈◊〉_d gather_v by_o the_o star_n itself_o the_o rise_a the_o set_a 〈◊〉_d the_o sun_n be_v to_o be_v gather_v by_o the_o degree_n of_o the_o ecliptic_n p._n when_o be_v a_o star_n or_o the_o sun_n say_v to_o rise_v &_o se●●_n m._n if_o the_o centre_n of_o the_o sun_n or_o star_n commi●●_n from_o the_o inferior_a hemisphere_n do_v mount_v above_o our_o horizon_n he_o be_v say_v to_o arise_v if_o descend_v from_o the_o supper_n i●_n hemisphere_n his_o centre_n fall_v beneath_o our_o horizon_n 〈◊〉_d be_v say_v to_o set_v if_o mount_v upward_o or_o descend_v downward_o the_o centre_n do_v but_o touch_v the_o horizon_n 〈◊〉_d be_v say_v then_o neither_o to_o rise_v nor_o set_v but_o be_v rise_v p._n go_v to_o then_o answer_v i_o to_o this_o any_o
difference_n of_o longitude_n otherwise_o if_o you_o be_v not_o skilful_a in_o arithmetic_n the_o place_n which_o have_v the_o lesser_a longitude_n be_v as_o i_o tell_v you_o bring_v unto_o the_o meridian_n the_o degree_n of_o the_o equator_fw-la contain_v between_o it_o &c_n &c_n the_o longitude_n of_o the_o other_o place_n afford_v the_o difference_n of_o longitude_n p._n the_o difference_n of_o longitude_n be_v know_v what_o may_v i_o infer_v thereon_o m._n first_o you_o may_v infer_v your_o course_n from_o the_o one_o place_n to_o the_o other_o can_v never_o be_v north_n &_o south_n but_o upon_o some_o other_o point_n of_o the_o compass_n second_o they_o never_o have_v the_o same_o hour_n of_o the_o day_n or_o night_n for_o if_o it_o be_v noon_n or_o midnight_n to_o the_o one_o it_o be_v past_a or_o before_o noon_n or_o midnight_n unto_o the_o other_o yet_o in_o the_o opposite_a hour_n they_o may_v agree_v as_o if_o it_o be_v 6._o in_o the_o morning_n it_o may_v be_v 6._o at_o 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