Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	course_n	north_n	south_n	1,698	5	10.0451	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A44885	A learned treatise of globes, both cœlestiall and terrestriall with their several uses / written first in Latine, by Mr. Robert Hues, and by him so published ; afterward illustrated with notes by Jo. Isa. Pontanus ; and now lastly made English ... by John Chilmead ...; Tractatus de globis et eorum usu. English	Hues, Robert, 1553-1632.; Chilmead, Edmund, 1610-1654.; Pontanus, Johannes Isacius, 1571-1639.; Molyneux, Emery.	1659 (1659)	Wing H3298; ESTC R1097	145,949	311

pass_v through_o both_o the_o pole_n and_o therefore_o they_o cross_v the_o aequator_fw-la and_o all_o circle_n parallel_v to_o it_o at_o right_a angle_n 2_o if_o we_o direct_v our_o course_n any_o other_o way_n then_o towards_o one_o of_o the_o pole_n we_o change_v ever_o and_o anon_o both_o our_o horizon_n and_o meridian_n 3._o the_o needle_n be_v touch_v with_o the_o loadstone_n point_v out_o the_o common_a intersection_n of_o the_o horizon_n and_o meridian_n and_o one_o end_n of_o it_o always_o respect_v the_o north_n in_o a_o manner_n and_o the_o other_o the_o south_n and_o here_o i_o can_v but_o take_v notice_n of_o a_o great_a error_n of_o gemma_fw-la frisius_n who_o in_o his_o corollary_n to_o the_o fifteen_o chapter_n of_o p._n appian_o cosmography_n affirm_v that_o the_o magnetical_a needle_n respect_v the_o north_n pole_n on_o this_o side_n of_o the_o equinoctial_a line_n but_o on_o the_o other_o side_n of_o the_o equinoctial_a it_o point_v to_o the_o south_n pole_n which_o opinion_n of_o he_o be_v contradict_v by_o the_o experience_n both_o of_o myself_o and_o other_o and_o therefore_o i_o believe_v his_o too_o much_o credulity_n deceive_v he_o giving_z credit_n perhaps_o to_o the_o fabulous_a relation_n of_o some_o vain_a head_n but_o howsoever_o it_o be_v the_o error_n be_v a_o ●owle_n one_o and_o unworthy_a so_o great_a a_o author_n this_o frivolous_a conceit_n have_v also_o be_v just_o condemn_v before_o by_o the_o illustrious_a jul_n scaliger_n instruct_v hereto_o out_o of_o the_o navigation_n of_o ludovicus_n vertomannus_n and_o ferdinand_n magellane_n 4_o the_o same_o rumbe_n cut_v all_o the_o meridian_n of_o all_o place_n at_o equal_a angle_n and_o respect_v the_o same_o quarter_n of_o the_o world_n in_o every_o horizon_n 5_o a_o great_a circle_n draw_v through_o the_o vertex_fw-la of_o any_o place_n that_o be_v any_o whit_n distant_a from_o the_o aequator_fw-la can_v cut_v divers_a meridian_n at_o equal_a angle_n and_o therefore_o i_o can_v 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one_o &_o the_o same_o rumb_n one_o of_o the_o pole_n be_v equal_o elevate_v and_o the_o other_o depress_v so_o that_o michael_n coignet_n be_v find_v to_o be_v in_o a_o error_n who_o out_o of_o some_o certain_a ill_a ground_a position_n endeavour_v to_o prove_v the_o contrary_n out_o of_o the_o 4_o proposition_n there_o arise_v h_o this_o consectary_n namely_o that_o rumbe_n though_o continue_v never_o so_o far_o do_v not_o pass_v through_o the_o pole_n for_o see_v that_o the_o same_o rumbe_n be_v equal_o incline_v to_o all_o meridian_n and_o all_o meridian_n do_v pass_v through_o the_o pole_n it_o will_v then_o follow_v that_o if_o a_o rumbe_n shall_v pass_v through_o the_o pole_n the_o same_o line_n in_o the_o same_o point_n will_v cross_v infinite_a other_o line_n which_o be_v impossible_a because_o that_o a_o part_n of_o any_o angle_n can_v be_v equal_a to_o the_o whole_a neither_o do_v that_o which_o we_o deliver_v in_o the_o last_o proposition_n make_v any_o thing_n against_o this_o consectary_n to_o wit_n that_o betwixt_o any_o two_o parallel_n of_o equal_a distance_n equal_a portion_n of_o the_o same_o rumbe_n may_v be_v intercept_v that_o so_o it_o shall_v thence_o follow_v that_o the_o segment_n of_o any_o rumbe_n intercept_v betwixt_o the_o parallel_n of_o 80._o gr_n of_o latitude_n and_o the_o pole_n be_v equal_a to_o a_o segment_n of_o the_o same_o rumbe_n intercept_v betwixt_o the_o aequator_fw-la and_o the_o parallel_n of_o ten_o gr_n of_o latitude_n and_o the_o reason_n be_v because_o the_o pole_n be_v no_o parallel_n and_o therefore_o it_o be_v a_o true_a position_n of_o nonius_n that_o the_o rumbe_n do_v not_o enter_v the_o pole_n although_o it_o be_v not_o demonstrate_v with_o the_o like_a happy_a success_n for_o he_o assume_v foundation_n contrary_a to_o the_o truth_n as_o we_o say_v before_o and_o gemma_fw-la frisius_n also_o be_v mistake_v when_o he_o affirm_v in_o his_o appedix_fw-la ad_fw-la 15._o cap._n appian_n cosmography_n that_o the_o rumbe_n do_v concur_v in_o the_o pole_n which_o be_v the_o opinion_n also_o of_o some_o other_o who_o be_v therefore_o just_o tax_v by_o michael_n coignet_n these_o thing_n be_v well_o consider_v it_o will_v be_v easy_a to_o understand_v what_o manner_n of_o line_n a_o ship_n follow_v the_o direction_n of_o the_o magnet_n do_v describe_v in_o the_o sea_n if_o the_o forepart_n of_o the_o ship_n be_v direct_v towards_o the_o north_n or_o south_n which_o be_v the_o quarter_n that_o the_o magnetical_a needle_n always_o point_v at_o your_o course_n will_v be_v always_o under_o the_o same_o meridian_n because_o as_o we_o show_v in_o our_o three_o proposition_n the_o needle_n always_o respect_v the_o intersection_n of_o the_o horizon_n and_o meridian_n and_o be_v situate_a in_o the_o plain_a of_o the_o same_o meridian_n if_o the_o before_o part_n of_o the_o ship_n be_v direct_v to_o that_o quarter_n that_o fast_o and_o west_n rumbo_n point_v out_o in_o your_o course_n you_o will_v then_o describe_v either_o the_o aequator_fw-la or_o a_o circle_n parallel_n to_o it_o for_o if_o at_o the_o begin_n of_o your_o set_n forth_o your_o zenith_n be_v under_o the_o aequator_fw-la your_o ship_n will_v describe_v a_o arch_n or_o segment_n of_o the_o aequator_fw-la but_o if_o your_o vertical_a point_n be_v distant_a from_o the_o aequator_fw-la either_o northward_o or_o southward_o your_o course_n will_v then_o describe_v a_o parallel_n as_o far_o distant_a from_o the_o aequator_fw-la as_o the_o latitude_n of_o the_o place_n be_v whence_o you_o set_v forward_o at_o first_o as_o suppose_v our_o intend_a course_n to_o be_v from_o some_o place_n lie_v under_o the_o aequator_fw-la by_o the_o rumbe_n of_o the_o east_n and_o west_n we_o shall_v go_v forward_o still_o under_o the_o aequator_fw-la for_o by_o this_o mean_n as_o we_o go_v on_o we_o always_o meet_v with_o a_o new_a meridian_n which_o the_o line_n of_o our_o course_n cross_v at_o right_a angle_n now_o no_o other_o line_n beside_o the_o aequator_fw-la can_v do_v this_o as_o appear_v manifest_o out_o of_o the_o corollary_n of_o the_o first_o proposition_n and_o therefore_o in_o this_o course_n our_o ship_n must_v describe_v a_o portion_n of_o the_o aequator_fw-la but_o if_o we_o steer_v our_o course_n by_o the_o east_n and_o west_n rumbe_n from_o any_o place_n that_o lie_v beside_o the_o aequator_fw-la we_o shall_v be_v always_o under_o the_o same_o parallel_n for_o all_o circle_n parallel_v to_o the_o aequator_fw-la do_v cut_v all_o the_o meridian_n at_o right_a angle_n by_o the_o corollary_n of_o the_o first_o proposition_n and_o although_o the_o before_o part_n of_o the_o ship_n always_o respect_v the_o equinoctial_a east_n or_o west_n or_o intersection_n of_o the_o aequator_fw-la and_o horizon_n yet_o in_o our_o progress_n we_o shall_v never_o come_v near_o the_o aequator_fw-la but_o shall_v keep_v always_o a_o equal_a distance_n from_o

the_o sun_n in_o the_o equinoctial_a from_o 90._o degree_n the_o remainder_n show_v the_o elevation_n of_o the_o pole_n as_o for_o example_n the_o elevation_n of_o the_o sun_n at_o noon_n when_o it_o be_v in_o the_o aequinoxe_n be_v about_o 38._o degree_n with_o we_o here_o at_o london_n which_o be_v deduct_v out_o of_o 90._o there_o remain_v 52._o which_o be_v the_o elevation_n of_o the_o pole_n with_o we_o so_o at_o rome_n the_o equinoctial_a altitude_n of_o the_o sun_n be_v about_o 48._o degree_n which_o be_v substract_v from_o 90_o degree_n which_o be_v a_o quadrant_n there_o remain_v 42._o for_o the_o elevation_n of_o the_o pole_n in_o two_o opposite_a point_n of_o this_o meridian_n be_v fasten_v the_o two_o end_n of_o a●…_n iron_n pin_n pass_v through_o the_o body_n of_o the_o globe_n and_o its_o centre_n axis_n one_o of_o which_o end_n be_v call_v the_o arctic_a o●…_n north_n pole_n of_o the_o world_n and_o the_o other_o the_o antarctick_a or_o south_n pole_n and_o the_o pin_n itself_o be_v call_v the_o axis_n for_o the_o axis_n of_o the_o world_n be_v the_o diameter_n about_o which_o it_o be_v turn_v and_o the_o extreme_a end_n of_o the_o axis_n be_v call_v the_o pole_n to_o either_o of_o these_o pole_n when_o need_n shall_v require_v there_o be_v a_o certain_a brass_n circle_n or_o ring_n of_o a_o reasonable_a strong_a make_n to_o be_v fasten_v which_o circle_n be_v divide_v into_o 24._o equal_a part_n according_a to_o the_o number_n of_o the_o hour_n of_o the_o day_n &_o night_n and_o it_o be_v therefore_o call_v the_o houre-circle_n and_o this_o circle_n be_v to_o be_v apply_v to_o either_o of_o the_o pole_n houre-circle_n in_o such_o sort_n as_o that_o the_o section_n where_o 12._o be_v describe_v ●…ay_o precise_o agree_v with_o the_o point_n of_o mid_a day_n and_o midnight_n in_o the_o superficies_n of_o the_o t●…ue_a meridian_n there_o be_v also_o another_o little_a pin_n or_o stile_n to_o be_v fasten_v to_o the_o end_n of_o the_o axis_n in_o the_o very_a centre_n of_o the_o houre-circle_n and_o this_o pin_n be_v call_v in_o latin_a index_n horarius_fw-la and_o be_v so_o make_v as_o that_o it_o turn_v about_o and_o point_v to_o every_o of_o the_o 24._o section_n in_o the_o houre-circle_n according_a as_o the_o globe_n itself_o be_v move_v about_o so_o that_o you_o may_v place_v the_o point_n of_o it_o to_o what_o hour_n you_o please_v pont_n the_o use_n of_o this_o houre-circle_n and_o index_n be_v to_o denote_v the_o hour_n of_o the_o rise_n and_o set_v of_o the_o sun_n and_o other_o star_n which_o must_v be_v practise_v after_o this_o manner_n first_o you_o must_v set_v the_o globe_n to_o your_o elevation_n or_o pole_n and_o then_o apply_v the_o degree_n of_o the_o sign_n in_o which_o the_o sun_n at_o the_o time_n be_v to_o the_o meridian_n and_o the_o index_n to_o the_o twelve_o hour_n which_o be_v uppermost_a and_o so_o have_v thus_o do_v you_o must_v turn_v the_o globe_n about_o till_o the_o degree_n wherein_o the_o sun_n be_v come_v to_o the_o eastern_a side_n of_o the_o horizon_n which_o do_v the_o index_n will_v point_v out_o the_o hour_n of_o his_o rise_n and_o if_o you_o turn_v it_o about_o to_o the_o west_n side_n you_o shall_v in_o like_a manner_n have_v the_o hour_n of_o his_o set_n there_o be_v also_o belong_v to_o the_o meridian_n a_o quadrant_n of_o altitude_n be_v make_v of_o a_o long_a thin_a plate_n of_o steel_n or_o brass_n and_o fashion_v crooked_a so_o that_o it_o may_v be_v apply_v to_o the_o convexs_n superficies_n of_o the_o globe_n and_o have_v the_o four_o part_n of_o the_o circle_n in_o length_n and_o this_o quadrant_n be_v make_v in_o such_o a_o sort_n as_o that_o altitude_n it_o may_v be_v fasten_v on_o the_o meridian_n and_o so_o be_v apply_v to_o the_o zenith_n of_o any_o place_n whatsoever_o be_v divide_v from_o one_o end_n to_o the_o other_o into_o 90._o equal_a part_n or_o degree_n there_o be_v beside_o at_o the_o foot_n of_o the_o globe_n a_o mariner_n compass_n place_v which_o serve_v to_o show_v how_o to_o place_v the_o globe_n right_o according_a to_o the_o four_o wind_n or_o quarter_n of_o the_o world_n chap_n ii_o of_o the_o circle_n which_o be_v describe_v upon_o the_o superficies_n of_o th●…_n globe_n and_o now_o in_o the_o next_o place_n we_o will_v show_v wh●…_n circle_n be_v describe_v upon_o the_o globe_n itself_o and_o first_o of_o all_o there_o be_v d●…awn_v a_o circle_n in_o a_o equal_a distance_n from_o both_o the_o pole_n that_o be_v 90._o degree_n which_o be_v call_v the_o equinoctial_a or_o aequator_fw-la aequator_fw-la because_o that_o when_o the_o su●…_n be_v in_o this_o circle_n day_n and_o night_n be_v of_o equal_a length_n in_o all_o place_n by_o the_o r●…volution_n of_o this_o circle_n be_v defend_v a_o natural_a day_n which_o the_o greek_n call_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d for_o a_o day_n be_v 〈◊〉_d natural_a and_o artificial_a a_o natural_a day_n be_v define_v to_o be_v the_o space_n of_o time_n wher●…_n in_o the_o whole_a aequator_fw-la artificial_a make_v a_o full_a revolution_n and_o this_o be_v do_v in_o 24._o hour_n a_o artific●…all_a day_n be_v the_o space_n wherein_o the_o sun_n be_v passi●…g_v through_o our_o upper_a hemisphere_n to_o which_o be_v oppose_v the_o artificial_a night_n while_o th●…_n sun_n be_v carry_v about_o in_o the_o low_a hemisphere_n so_o that_o a_o artificial_a day_n and_o night_n be_v comprehen●…ed_v within_o a_o natural_a day_n the_o part_n of_o a_o dav_fw-mi be_v call_v hour_n which_o be_v either_o equal_a or_o unequal_a a_o equal_a hour_n be_v the_o 24._o part_n of_o a_o natural_a day_n in_o which_o un●…quall_a space_n 15._o d●…grees_n of_o the_o aequator_fw-la do_v always_o rise_v and_o as_o m●…ny_n be_v depre●…ied_v on_o the_o opposite_a part_n a_o unequal_a hour_n be_v the_o 12._o part_n of_o a_o artificial_a day_n betw●…xt_v the_o ●…ime_n of_o the_o sun_n rise_v and_o set_v again_o th●…se_a hour_n be_v again_o divide_v into_o minute_n now_o a_o minute_n be_v the_o 60._o part_n of_o a_o hour_n in_o which_o space_n of_o time_n a_o quarter_n of_o a_o degree_n in_o the_o aequator_fw-la that_o be_v 15._o minute_n do_v ●…ise_a and_o a●…_n many_o set_v pont_n the_o use_n of_o the_o aequ●…tor_n consist_v chief_o in_o these_o thing_n first_o it_o show_v the_o time_n of_o the_o aequinox_n which_o be_v always_o when_o the_o sun_n faly_n upon_o the_o equinoctial_a circle_n and_o this_o be_v when_o as_o the_o sun_n enter_v into_o the_o first_o degree_n of_o aries_n and_o libra_n according_a to_o that_o of_o manil●…us_n libra_n ariesque_fw-la parem_fw-la reddunt_fw-la noctemque_fw-la diemque_fw-la in_o english_a thus_o the_o sun_n in_o libra_n and_o aries_n place_v each_o year_n the_o day_n and_o night_n be_v equal_a every_o where_o second_o ●…he_v aequator_fw-la divide_v the_o heaven_n into_o two_o equal_a part_n or_o hemisphaere_n whereof_o one_o be_v call_v the_o septeutrionall_a or_o northern_a hemisphere_n the_o other_o the_o meridional_a or_o southern_a three_o it_o show_v the_o ascension_n and_o descension_n of_o the_o part_n of_o the_o zodiac_n whence_o the_o length_n of_o the_o artificial_a day_n and_o night_n for_o any_o position_n of_o sphere_n may_v be_v know_v fou●…thly_a 〈◊〉_d show_v what_o star_n and_o part_n of_o the_o ecliptic_a have_v any_o declination_n the_o aequator_fw-la be_v cross_v or_o cut_v in_o two_o opposite_a point_n by_o a_o oblique_a circle_n which_o be_v call_v the_o zodiac_n the_o obliquity_n of_o this_o circle_n be_v say_v to_o have_v be_v first_o observe_v by_o anaximander_n milesius_n in_o the_o 58._o olympiad_n as_o pliny_n write_v in_o hi●…_n lib._n 2._o cap._n 8_o who_o also_o in_o the_o same_o place_n affi●…mes_v that_o it_o be_v first_o divide_v into_o 12_o part_n which_o they_o call_v sign_n by_o cleostretus_fw-la tenedius_n in_o like_a manner_n as_o we_o see_v it_o at_o this_o day_n each_o of_o these_o sign_n be_v again_o subdivide_v into_o 30._o part_n so_o that_o the_o whole_a zodiac_n be_v divide_v in_o all_o into_o 360._o part_n like_v as_o the_o orhe_a circle_n be_v the_o first_o twelve_o part_n whereof_o beginning_n at_o the_o vernal_a intersection_n when_o the_o aequator_fw-la and_o zodiack_n cross_v each_o other_o it_o assign_v to_o aries_n the_o second_o to_o taurus_n etc._n etc._n reckon_n from_o west_n to_o east_n but_o here_o a_o young_a beginner_n in_o astronomy_n may_v just_o doubt_v what_o be_v the_o reason_n that_o the_o first_o 30._o degree_n or_o 12_o part_n of_o the_o zodiac_n be_v attribute_v to_o aries_n whereas_o the_o first_o star_n of_o aries_n fall_v short_a of_o the_o intersection_n of_o the_o equinoctial_a and_o zodiac_n no_o less_o than_o 27._o degree_n the_o reason_n of_o this_o be_v because_o that_o in_o the_o time_n of_o the_o

be_v thus_o note_v in_o the_o horizon_n of_o the_o globe_n you_o must_v afterward_o translate_v they_o into_o your_o plain_n allot_v for_o your_o dial_n ground_n reckon_v in_o the_o circumference_n of_o it_o so_o many_o degree_n to_o each_o hour_n as_o be_v answerable_a to_o those_o point_v out_o by_o the_o colour_n in_o the_o horizon_n and_o last_o have_v thus_o do_v the_o gnomon_n or_o stile_n must_v be_v erect_v where_o you_o be_v to_o observe_v this_o one_o thing_n which_o be_v indeed_o in_o a_o manner_n the_o chief_a and_o only_a thing_n in_o this_o art_n to_o be_v careful_o look_v unto_o namely_o that_o that_o edge_n or_o line_n of_o the_o gnomon_n which_o be_v to_o show_v the_o hour_n by_o its_o shadow_n in_o all_o kind_n of_o dial_n must_v be_v set_v parallel_n to_o the_o axis_n of_o the_o world_n that_o so_o it_o may_v make_v a_o angle_n of_o inclination_n with_o its_o plain_a ground_n equal_a ●…o_o that_o which_o the_o axis_n of_o the_o world_n make_v with_o the_o horizon_n 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northward_o you_o must_v describe_v in_o that_o plain_a horizontall_a dial_n for_o the_o latitude_n of_o 62._o degree_n northward_o and_o if_o in_o the_o same_o latitude_n the_o dial_n ground_n do_v incline_v towards_o the_o north_n 16._o gr_n you_o must_v make_v a_o horizontall_a dial_n for_o the_o northern_a latitude_n of_o 36._o gr_n and_o thus_o much_o shall_v suffice_v to_o have_v be_v speak_v of_o the_o make_n of_o diall_n by_o the_o globe_n the_o five_o and_o last_o part._n of_o the_o rumbe_n that_o be_v describe_v in_o the_o terrestrial_a globe_n and_o their_o use_n those_o line_n which_o a_o ship_n follow_v the_o direction_n of_o the_o magnetical_a needle_n describe_v on_o the_o surface_n of_o the_o sea_n petrus_n nonius_n call_v in_o latin_a rumbos_fw-mi borrow_v the_o apellation_n of_o his_o countryman_n the_o portugal_n which_o word_n since_o it_o be_v now_o general_o receive_v by_o learned_a writer_n to_o express_v they_o by_o we_o also_o will_v use_v the_o same_o these_o rumbe_n be_v describe_v in_o the_o globe_n either_o by_o great_a or_o lesser_a circle_n or_o by_o certain_a crooked_a wind_a liine_n but_o seaman_n be_v wont_a to_o express_v the_o same_o in_o their_o nautical_a chart_n by_o right_n line_n but_o this_o practice_n of_o they_o be_v clean_o repugnant_a to_o the_o truth_n of_o the_o thing_n neither_o can_v by_o any_o mean_n be_v defend_v from_o error_n the_o invention_n of_o rumbe_n and_o practice_v of_o describe_v the_o same_o upon_o the_o globe_n be_v somewhat_o ancient_a petrus_n nonius_n have_v write_v much_o concern_v the_o use_n of_o they_o in_o two_o book_n which_o he_o intitule_v de_fw-fr navigand●…_n ratione_fw-la and_o mercator_n have_v also_o express_v they_o in_o his_o globe_n but_o the_o use_n of_o they_o be_v not_o as_o yet_o so_o well_o know_v to_o every_o body_n and_o therefore_o i_o think_v it_o not_o unfit_a to_o be_v the_o more_o large_a in_o the_o explication_n of_o the_o same_o begin_v therefore_o with_o the_o nature_n and_o original_n of_o they_o we_o shall_v afterward_o descend_v to_o the_o use_n there_o be_v to_o be_v make_v of_o they_o in_o the_o art_n of_o navigation_n and_o first_o we_o will_v begin_v with_o the_o original_n and_o nature_n of_o the_o nautical_a index_n or_o compass_n which_o be_v very_o well_o know_v to_o be_v of_o the_o fashion_n of_o a_o plain_a round_a box_n the_o circumference_n whereof_o be_v divide_v into_o 32._o equal_a part_n distinguish_v by_o certain_a right_a line_n pass_v through_o the_o centre_n thereof_o one_o point_n of_o it_o which_o that_o end_n of_o the_o needle_n that_o be_v touch_v with_o the_o magnet_n always_o respect_n be_v direct_v towards_o the_o north_n so_o that_o consequent_o the_o opposite_a point_n must_v necessary_o respect_v the_o south_n and_o so_o likewise_o all_o the_o other_o part_n in_o it_o have_v respect_n unto_o some_o certain_a fix_a point_n in_o the_o horizon_n for_o the_o compass_n must_v always_o be_v place_v parallel_n to_o the_o horizon_n now_o i_o call_v these_o point_n fix_v only_o for_o doctrine_n sake_n not_o forget_v in_o the_o mean_a time_n that_o the_o magnetical_a needle_n beside_o that_o it_o do_v of_o it_o own_o nature_n decline_v in_o divers_a place_n from_o the_o situation_n of_o the_o true_a meridian_n which_o be_v common_o call_v the_o variation_n of_o the_o compass_n according_a to_o the_o custom_n of_o divers_a country_n be_v also_o place_v after_o a_o divers_a manner_n in_o the_o compass_n for_o some_o there_o be_v that_o place_n it_o 5._o gr_n 37._o m._n more_o eastward_o then_o that_o point_n that_o answer_v to_o the_o north_n quarter_n of_o the_o world_n as_o do_v the_o spaniard_n and_o our_o englishman_n some_o place_n it_o 3._o gr_n and_o almost_o 18._o m._n decline_v from_o the_o north_n and_o some_o set_v it_o at_o 11._o gr_n 15._o minute_n distance_n from_o that_o point_n all_o which_o notwithstanding_o let_v we_o suppose_v the_o needle_n always_o to_o look_v direct_o north_n and_o south_n now_o these_o line_n thus_o express_v in_o the_o mariner_n compass_n as_o the_o common_a intersection_n of_o the_o horizon_n and_o vertical_a circle_n or_o rather_o parallel_v to_o these_o among_o which_o that_o wherein_o the_o needle_n be_v situate_a be_v the_o common_a intersection_n of_o the_o horizon_n &_o meridian_n and_o that_o which_o cross_v this_o at_o right_a angle_n be_v the_o common_a section_n of_o the_o horizon_n and_o a_o vertical_a circle_n draw_v through_o the_o equinoctial_a east_n and_o west_n and_o thus_o we_o have_v the_o 4_o cardinal_n wind_n or_o quarter_n of_o the_o world_n and_o the_o whole_a horizon_n divide_v into_o 4_o equal_a part_n each_o of_o they_o contain_v 90._o degree_n now_o if_o you_o divide_v again_o each_o of_o these_o into_o 8._o part_n by_o 7._o vertical_a circle_n draw_v on_o each_o side_n of_o the_o meridian_n through_o the_o zenith_n the_o whole_a horizon_n will_v be_v part_v into_o 32_o equal_a section_n each_o of_o which_o shall_v contain_v 11._o gr_n 15._o m._n these_o be_v the_o several_a quarter_n of_o the_o world_n observe_v by_o mariner_n in_o their_o voyage_n but_o as_o for_o any_o lesser_a part_n or_o division_n then_o these_o they_o look_v not_o after_o they_o and_o this_o be_v the_o original_n of_o the_o nautical_a compass_n by_o which_o seaman_n be_v guide_v in_o their_o voyage_n let_v we_o now_o in_o the_o next_o place_n consider_v what_o manner_n of_o line_n a_o ship_n follow_v the_o direction_n of_o the_o compass_n do_v describe_v in_o her_o course_n for_o the_o better_a understanding_n whereof_o i_o think_v it_o fit_a to_o praemise_v these_o few_o proposition_n which_o be_v right_o and_o thorough_o consider_v will_v make_v the_o whole_a business_n facile_a and_o perspicuous_a 1._o all_o meridian_n of_o all_o place_n do_v

53._o of_o the_o six_o 9_o and_o one_o cloudy_a one_o all_o which_o be_v in_o the_o general_a 316._o now_o the_o whole_a firmament_n reckon_v in_o the_o northern_a and_o southern_a hemi_a phaere_n together_o with_o the_o zodiaque_fw-la co●…taineth_v in_o all_o 1022._o star_n which_o make_v up_o 48_o aste●…ismes_n or_o constellation_n neither_o do_v either_o ptolemy_n or_o hipparchus_n before_o he_o know_v any_o more_o than_o these_o notwithstanding_o pliny_n as_o our_o author_n have_v advertise_v before_o in_o the_o second_o chapter_n make_v the_o number_n of_o star_n and_o constellation_n a_o great_a deal_n large_a but_o of_o this_o we_o shall_v spe●…k_v more_o in_o the_o end_n of_o the_o next_o chapter_n and_o concern_v those_o constellation_n which_o have_v be_v more_o late_o observe_v about_o the_o south_n pole_n by_o the_o portugal_n and_o hollander_n and_o by_o they_o name_v we_o intend_v to_o speak_v something_o in_o the_o end_n of_o t●…o_o chapter_n follow_v chap._n vii_o of_o 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of_o principal_n of_o the_o opti●…s_n and_o also_o by_o the_o sense_n of_o itself_o experience_n and_o authority_n of_o learned_a writer_n for_o first_o that_o the_o ray_n be_v refract_v through_o a_o gross_a medium_fw-la and_o diffuse_v as_o it_o be_v in_o certain_a canales_n do_v represent_v the_o image_n of_o the_o object_n great_a than_o indeed_o it_o be_v be_v plain_o affirm_v and_o that_o accordiong_a to_o the_o doctrine_n of_o the_o opticke_n by_o strabo_n himself_o out_o o●…_n posidonius_n and_o that_o through_o perspicil_z o●…_n sp●…ctacles_n thing_n appear_v more_o and_o 〈◊〉_d ●…hen_o otherwise_o they_o will_v be_v a_o thing_n well_o know_v to_o the_o most_o ignorant_a cleomodes_n also_o say_v that_o the_o sun_n be_v see_v by_o any_o in_o the_o bottom_n of_o a_o deep_a well_o s●…emes_v gr●…ater_a then_o when_o he_o be_v see_v from_o above_o and_o ●…hat_o by_o reason_n of_o ●…he_a moistness_n and_o 〈◊〉_d ●…f_o the_o air_n in_o the_o bottom_n of_o the_o well_o and_o if_o it_o be_v possible_a to_o see_v the_o sun_n through_o stone_n wall_n or_o other_o solid_a body_n as_o the_o old_a poet_n fabulous_o report_v of_o lynceus_n he_o will_v seem_v much_o big_a than_o he_o be_v as_o posidonius_n right_o teach_v and_o hence_o be_v it_o say_v strabo_n that_o we_o see_v the_o sun_n always_o gre●…ter_v at_o his_o rise_n and_o set_v especial_o to_o those_o that_o be_v at_o sea_n yet_o we_o do_v not_o say_v that_o he_o appear_v ten_o time_n great_a than_o he_o be_v as_o it_o be_v report_v he_o do_v in_o india_n out_o of_o the_o excerpt_n of_o etesias_n his_o indian_a h●…stories_n much_o less_o that_o he_o seem_v to_o be_v a_o hundred_o time_n great_a than_o he_o be_v in_o other_o place_n as_o he_o be_v feighn_v by_o artemidorus_n to_o be_v at_o his_o set_n to_o those_o that_o inhabit_v a_o promontory_n in_o the_o outmost_a part_n of_o spain_n which_o he_o call_v promontorium_n sacrum_n but_o be_v just_o tax_v for_o the_o same_o by_o posidonius_n alsraganus_fw-la will_v have_v the_o cause_n of_o this_o to_o be_v for_o that_o the_o vapour_n which_o be_v exhale_v out_o of_o the_o earth_n and_o elevate_v into_o the_o air_n and_o so_o interpose_v be_v betwixt_o our_o sight_n and_o the_o sun_n at_o his_o rise_n or_o set_v do_v make_v he_o appear_v greate●…_n than_o he_o be_v the_o same_o be_v the_o opinion_n of_o strabo_n and_o cleomedes_n also_o out_o of_o posid●…nius_n neither_o do_v this_o differ_v much_o from_o the_o opinion_n of_o the_o best_a of_o our_o opticall_a writer_n but_o of_o this_o enough_o there_o be_v also_o observe_v many_o star_n in_o the_o southern_a part_n of_o the_o world_n which_o because_o they_o can_v not_o be_v see_v by_o our_o artist_n in_o these_o part_n of_o the_o world_n we_o have_v therefore_o no_o certain_a knowledge_n leave_v we_o concern_v the_o same_o so_o in_o like_a manner_n among_o those_o which_o we_o have_v hitherto_o speak_v of_o many_o of_o they_o can_v be_v see_v by_o those_o that_o inhabit_v any_o whit_n near_o the_o north_n pole_n but_o concern_v those_o star_n that_o appear_v about_o the_o south_n pole_n of_o the_o world_n i_o will_v here_o set_v you_o down_o a_o very_a admirable_a story_n which_o franciscus_n patricius_n senensis_n relate_v in_o the_o end_n of_o his_o nova_fw-la philosophia_fw-la out_o of_o the_o navigation_n of_o americus_n vespuccius_n and_o it_o be_v thu●…_n coelum_fw-la decentissimè_fw-la exornatur_fw-la etc._n etc._n the_o heaven_n say_v he_o mean_v about_o the_o antarctique_a pole_n be_v various_o adorn_v with_o divers_a constellation_n which_o can_v be_v see_v here_o with_o we_o among_o which_o i_o do_v verywell_o remember_v that_o i_o reckon_v very_o near_o twenty_o which_o be_v as_o fair_a and_o bright_a as_o venus_n and_o jupiter_n here_o with_o we_o and_o a_o little_a after_o he_o say_v i_o be_v certain_a therefore_o that_o these_o star_n be_v of_o great_a magnitude_n than_o any_o man_n can_v conceive_v and_o especial_o three_o canobi_n which_o i_o see_v and_o observe_v two_o whereof_o be_v very_o bright_a one_o but_o the_o three_o be_v somewhat_o obscure_a and_o noth●…g_v like_o the_o rest_n and_o a_o little_a after_o he_o proceed_v but_o the_o pole_n itself_o be_v encompass_v about_o with_o three_o star_n which_o represent_v the_o figure_n of_o a_o right-angled_n triangle_n among_o which_o that_o which_o be_v in_o the_o midst_n be_v in_o circumference_n 9_o gr_n and_o a_o half_a and_o when_o these_o ●…ise_n there_o appear_v on_o the_o left_a hand_n of_o they_o another_o bright_a canobus_n of_o notable_a magn●…tude_n and_o a_o little_a after_o he_o say_v after_o these_o there_o follow_v three_o other_o very_a fair_a star_n the_o middlemost_a of_o which_o have_v in_o diameter_n 12._o degree_n and_o a_o half_a and_o in_o the_o midst_n among_o these_o there_o be_v see_v another_o canobus_n after_o this_o there_o follow_v 6._o other_o bright_a star_n which_o excel_v all_o the_o other_o star_n in_o the_o eight_o sphere_n for_o brightness_n the_o middlemost_a of_o they_o have_v 32._o gr_n in_o diameter_n these_o star_n be_v accompany_v by_o another_o great_a but_o dark_a canobus_n all_o which_o star_n be_v observe_v in_o the_o milky_a way_n to_o this_o he_o add_v out_o of_o corsalius_n his_o that_o follow_v andrea_n corsalius_n also_o affirm_v that_o there_o be_v two_o cloud_n of_o a_o reasonable_a brightness_n appear_v near_o the_o pole_n betwixt_o which_o there_o be_v a_o star_n distant_a from_o the_o pole_n about_o a_o 11_o gr_n over_o which_o he_o say_v there_o be_v see_v a_o very_a admirable_a figure_n of_o a_o cross_n stand_v in_o the_o midst_n of_o 5._o star_n that_o compass_v it_o about_o with_o some_o certain_a other_o that_o move_v round_o about_o ●…ith_n it_o be_v distant_a from_o the_o pole_n about_o 30._o degree_n which_o be_v of_o so_o great_a