Selected quad for the lemma: world_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
world_n circle_n point_n pole_n 2,440 5 11.6304 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A80180 The lighting colomne or sea-mirrour containing the sea-coasts of the northern, eastern and western navigation: setting forth in divers necessarie sea-cards all the ports, rivers, bayes, roads, depths and sands ... With the discoveries of the chief countries, and on what cours and distance they lay one from another ... As also the situation of the northernly countries, as islands, the strate Davids, the isle of Ian-Mayen, Bear-Island, Old-Greenland, Spitsbergen and Nova Zembla ... Gathered out of the experience and practice of divers pilots and lovers of the famous art of navigation. By Jan van Loon. Whereunto is added a brief instruction of the art of navigation, together vvith nevv tables of the suns declination, also an almanack extending untill the yeare 1661. Colom, Jacob Aertsz, 1599-1673. 1654 (1654) Wing C5401A; ESTC R230954 549,120 428

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of_o the_o globe_n we_o see_v the_o star_n as_o well_o on_o the_o one_o side_n as_o on_o the_o other_o in_o whatsoever_o part_n of_o the_o heaven_n that_o it_o be_v always_o of_o one_o greatness_n and_o it_o be_v find_v by_o experience_n that_o we_o always_o see_v the_o one_o half_a of_o the_o heaven_n and_o the_o other_o half_o be_v hide_v from_o our_o eye_n from_o thence_o it_o appear_v plain_o according_a to_o the_o expression_n in_o the_o three_o figure_n that_o the_o earth_n stand_v in_o the_o middle_n of_o the_o world_n from_o thence_o be_v likewise_o to_o be_v mark_v that_o the_o globe_n of_o the_o earth_n be_v no_o more_o to_o be_v liken_v by_o the_o heaven_n than_o a_o point_n without_o thickness_n for_o if_o the_o earth_n have_v any_o thickness_n in_o respect_n of_o heaven_n we_o shall_v stand_v upon_o the_o earth_n by_o that_o reason_n not_o see_v half_a of_o the_o heaven_n according_a to_o demonstration_n of_o the_o 4_o figure_n the_o four_o point_n of_o the_o greatness_n of_o the_o earth_n although_o the_o globe_n of_o the_o earth_n as_o be_v say_v in_o respect_n of_o the_o extraordinary_a wideness_n of_o the_o heaven_n be_v no_o more_o than_o a_o point_n nevertheless_o in_o respect_n of_o its_o self_n it_o be_v a_o great_a body_n have_v in_o its_o compass_n 5400_o dutch_a mile_n and_o that_o be_v know_v by_o this_o mean_n if_o you_o divide_v the_o whole_a circle_n of_o the_o compass_n of_o the_o earth_n into_o 360_o part_n or_o degree_n and_o we_o find_v as_o well_o by_o navigation_n as_o by_o measure_v of_o land_n that_o such_o a_o degree_n or_o part_n contain_v fifteen_o such_o dutch_a miles_n 360_o such_o part_n be_v multiply_v by_o fifteen_o make_v out_o 5400_o duth_o mile_n the_o five_o point_n of_o the_o axis_n and_o pole_n or_o axepoint_n of_o the_o world_n in_o the_o globe_n of_o the_o world_n be_v imagine_v to_o be_v a_o line_n go_v from_o one_o point_n on_o the_o side_n of_o the_o sphere_n as_o a_o diameter_n through_o the_o centre_n to_o 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b_o divide_v the_o whole_a sphere_n a_o c_o b_o e_o into_o two_o equal_a part_n as_o c_o a_o e_z the_o northern_a and_o c_o b_o e_o the_o southern_a part_n from_o hence_o be_v to_o be_v note_v see_v that_o the_o whole_a compass_n of_o the_o heaven_n be_v divide_v into_o 360_o degree_n that_o the_o pole_n stand_v from_o one_o another_o 180_o degree_n and_o between_o the_o pole_n and_o the_o aequinoctial_a remain_v every_o where_n on_o both_o side_n 90_o degree_n this_o line_n be_v mark_v in_o the_o sea-card_n with_o a_o red_a line_n from_o east_n to_o west_n through_o the_o begin_n of_o the_o degree_n according_a as_o they_o be_v reckon_v as_o well_o towards_o the_o north_n as_o to_o the_o south_n the_o seven_o point_n of_o the_o ecliptic_a line_n the_o ecliptic_a line_n lie_v awry_o over_o the_o equinoctial_a devide_v it_o in_o two_o point_n right_o over_o against_o one_o another_o in_o two_o equal_a part_n and_o be_v also_o divide_v by_o it_o in_o two_o equal_a part_n the_o one_o 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equinoctial_a and_o its_o self_n alsoo_o into_o two_o equal_a part_n in_o the_o points_z d_o and_o f_o which_o we_o call_v the_o equinoctial_a the_o one_o at_o d_o the_o spring_n equinoctial_a the_o other_o at_o f_o the_o autumn_n equinoctial_a the_o one_o half_n d_o h_o f_o the_o northern_a part_n lie_v between_o the_o equinoctial_a d_o e_z f_o and_o a_o the_o north_n pole_n at_o most_o decline_v towards_o f_o h_n 23_o degree_n and_o 31_o 2_o minute_n the_o other_o half_a f_o g_o d_o the_o southern_a part_n lie_v between_o the_o equinoctial_a f_o c_o d_o and_o the_o south_n pole_n b_o likewise_z at_z most_o decline_v as_o c_o g_z 23_o degree_n 31½_n minute_n the_o north_n part_n be_v divide_v into_o six_o sign_n which_o we_o call_v the_o northerly_a beginning_n at_o d_o with_o the_o kimbug_a sign_n towards_o the_o north._n aries_n taurus_n gemini_fw-la unto_o h._n the_o point_n of_o the_o far_a declination_n from_o thence_o with_o the_o descend_a sign_n of_o the_o north_n cancer_n leo_n virgo_fw-la to_o the_o equinoctial_a line_n in_o f._n the_o autumn_n equinoctial_a the_o southern_a part_n be_v also_o divide_v into_o six_o sign_n which_o we_o call_v the_o southerly_a beginning_n at_o f_o with_o the_o descend_a sign_n towards_o the_o south_n libra_n virgo_fw-la saggitarius_n until_o g_z the_o point_n of_o the_o sartk_a declination_n towards_o the_o south_n from_o thence_o further_o with_o klimb_v sign_n towards_o the_o north_n capricornus_fw-la aquarius_n pisces_fw-la as_o far_a as_o till_o you_o come_v to_o the_o equinoctial_a line_n in_o the_o spring_n equinoctial_a d._n the_o sun_n run_v through_o the_o three_o first_o northerly_a sign_n from_o the_o 21_o of_o march_n new_a style_n to_o the_o 21_o of_o june_n new_a still_o the_o other_o from_o the_o 21_o of_o june_n to_o the_o 23_o of_o september_n the_o first_o 3_o southerly_a sign_n from_o the_o 23_o of_o september_n to_o the_o 23_o of_o december_n and_o the_o other_o from_o the_o 23_o december_n till_o the_o 21_o of_o march_n again_o the_o pole_n of_o the_o ecliptic_a be_v m_o and_o n_o both_o of_o they_o stand_v every_o where_o alike_o distant_a from_o the_o ecliptic_a g_o h_n and_o so_o far_o from_o the_o pole_n of_o the_o world_n a_o and_z b_o as_o the_o ecliptic_a be_v far_a decline_v from_o the_o equinoctial_a at_o h_n e_o and_o c_o g._n the_o eight_o point_n of_o the_o coluri_n the_o coluri_n be_v two_o circkle_n go_v croswaye_v through_o both_o the_o pole_n of_o the_o world_n divide_v each_o other_o into_o two_o part_n in_o the_o pole_n and_o together_o with_o they_o the_o whole_a globe_n equinoctial_a zodiac_n or_o ecliptic_a and_o all_o the_o parallel_n in_o 4_o equal_a part_n the_o
one_o go_v through_o the_o point_n of_o the_o equinoctial_a be_v call_v the_o colurus_n of_o the_o equinoctial_o the_o other_o through_o the_o point_n of_o the_o solstice_n the_o colour_n of_o the_o solstice_n the_o son_n move_v these_o circle_n through_o its_o yearly_a course_n in_o the_o zodiac_n devide_v the_o year_n into_o four_o part_n as_o the_o spring_n summer_n autumn_n and_o winter_n demonstration_n in_o the_o forego_n figure_n a_o f_o b_o d_o be_v the_o colour_n of_o the_o equinoctial_o go_v trough_n d_o and_o f_o the_o point_n of_o the_o equinoctial_a in_o the_o beginning_n of_o aries_n &_o libra_n &_o through_o the_o pole_n a_o and_o b_o a_o c_o g_o b_o m_o e_o h_o the_o colurus_n of_o the_o solstice_n in_o the_o beginning_n of_o cancer_n &_o capricornus_fw-la where_o the_o ecliptic_a be_v far_a distant_a from_o the_o equinoctial_a line_n through_o the_o pole_n of_o the_o world_n a_o and_o b_o and_o through_o the_o pole_n of_o the_o zodiac_n m_o and_o n_o cut_n one_o another_o through_o crossewayes_o with_o right_a corner_n in_o the_o pole_n a_o and_o b_o and_o devide_v the_o zodiaque_fw-la or_o ecliptic_a in_o 4_o part_n as_o d_o h_n h_n f_o f_o g_o and_o g_o d_o the_o first_o of_o which_o the_o son_n wander_v through_o in_o the_o spring_n the_o second_o in_o the_o summer_n the_o three_o in_o the_o autumn_n and_o the_o four_o in_o the_o winter_n these_o foresay_a circle_n of_o the_o sphere_n be_v all_o great_a circle_n that_o be_v compass_v the_o sphere_n at_o the_o wide_a devide_v the_o same_o into_o two_o equal_a part_n there_o follow_v now_o 4_o small_a circle_n which_o divide_v the_o sphere_n into_o unequal_a part_n the_o nine_o point_n concern_v the_o tropicke_n and_o the_o arctic_a and_o antartique_n circle_n the_o tropique_n be_v two_o circle_n the_o one_o northwards_o and_o the_o other_o southwards_o from_o the_o equinoctial_a and_o alike_o wide_a with_o the_o same_o which_o through_o turn_v about_o of_o the_o sphere_n from_o the_o point_n of_o the_o ecliptic_a be_v far_a distant_a from_o the_o equinoctial_a and_o be_v place_v the_o one_o to_o the_o north_n and_o be_v call_v the_o tropic_n of_o cancer_n and_o the_o other_o to_o the_o south_n and_o be_v call_v the_o tropic_n of_o capricornus_fw-la circulus_fw-la articus_n the_o northern_a circle_n and_o circulus_fw-la antarticus_n the_o southern_a circle_n be_v reckon_v through_o the_o run_n about_o off_o the_o sphere_n from_o the_o pole_n off_o the_o ecliptic_a demonstration_n in_o this_o figure_n h_n i_o be_v the_o tropic_n of_o cancer_n which_o through_o the_o turn_n about_o of_o the_o sphere_n be_v write_v from_o the_o point_n h_o the_o beginning_n of_o cancer_n be_v also_o so_o call_v because_o that_o the_o son_n come_v to_o that_o point_n far_a from_o the_o equinoctial_a towards_o the_o north_n turn_v then_o again_o through_o the_o crabfish_n towards_o the_o equinoctial_a g_o k_n be_v the_o tropic_n of_o capricornus_fw-la so_o cause_v through_o the_o run_n about_o of_o the_o spear_n from_o the_o point_n g_o the_o beginning_n of_o capricornus_fw-la of_o the_o goat_n and_o be_v so_o call_v because_o the_o son_n come_v to_o that_o point_n in_o the_o far_a from_o the_o equinoctial_a towards_o the_o south_n then_o turn_v again_o through_o the_o goat_n towards_o the_o equinoctial_a n_o p_o be_v the_o arctic_a circle_n and_o m_o o_o the_o antartique_n circle_n they_o be_v so_o call_v through_o the_o run_n about_o of_o the_o spear_n from_o the_o pole_n of_o the_o zodiaque_fw-la n_n and_o m._n these_o be_v equal_o distant_a from_o the_o pole_n of_o the_o world_n a_o and_o b_o as_o the_o tropic_n be_v from_o the_o equinoctial_a line_n to_o wit_n 23_o degree_n and_o 31½_n minute_n the_o ten_o point_n of_o the_o sun_n declination_n the_o sun_n declination_n be_v its_o distance_n from_o the_o equinoctial_a line_n and_o that_o be_v two_o fold_n towards_o the_o north_n and_o south_n demonstration_n the_o sun_n declination_n be_v cause_v through_o his_o course_n alongst_o the_o ecliptic_a line_n thus_o let_v a_o be_v the_o northern_a and_o b_o the_o southern_a pole_n of_o the_o world_n c_o p_o e_o the_o equinoctial_a g_o h_n g_o the_o ecliptic_a line_n the_o son_n come_v in_o the_o begin_n of_o aries_n on_o the_o 21_o of_o march_n to_o d_o come_v also_o in_o the_o equinoctial_a line_n have_v beside_o no_o declination_n neither_o northwards_o nor_o southwards_o but_o go_v forward_o alongst_o the_o ecliptic_a from_o d_o to_o h_n and_o come_v to_o k_o in_o the_o begin_n of_o taurus_n it_o shall_v be_v distant_a and_o decline_v from_o the_o equinoctial_a line_n towards_o the_o north_n from_o i_o to_o k._n 11_o degree_n and_o 30_o minute_n go_v forward_o to_o h_n be_v then_o at_o most_o decline_v from_o p_o to_o h_n 23_o degree_n 31½_n minute_n from_o thence_o follow_v its_o course_n from_o h_n to_o f_o come_v in_o the_o begin_n of_o libra_n again_o to_o the_o line_n without_o declination_n go_v forward_o from_o f_o towards_o g_z until_o m_n in_o the_o begin_n of_o sagitarius_n it_o shall_v be_v distant_a or_o decline_v from_o the_o line_n f_o e_o towards_o the_o south_n from_o l_o to_o m_n 20_o degree_n 13_o minute_n come_v to_o g_o it_o be_v then_o at_o its_o far_a declination_n from_o e_z to_z g_z towards_o the_o south_n from_o thence_o it_o run_v again_o to_o d_o to_o the_o equinoctial_a line_n perfect_v its_o course_n in_o a_o year_n the_o eleaventh_n point_n how_o to_o find_v the_o son_n declination_n upon_o every_o day_n in_o the_o year_n the_o year_n of_o the_o son_n that_o be_v the_o time_n wherein_o the_o son_n go_v out_o of_o a_o certain_a point_n in_o the_o ecliptic_a and_o turn_v again_o into_o the_o same_o and_o be_v not_o just_a 365_o day_n but_o about_o 5_o hour_n and_o 49_o minute_n that_o be_v little_o less_o than_o 6_o hour_n more_o wherefore_o it_o be_v that_o we_o always_o add_v after_o three_o year_n to_o the_o south_n 4_o time_n 6_o hour_n that_o be_v a_o day_n to_o the_o month_n february_n thereby_o to_o count_v the_o year_n or_o revolation_n of_o the_o son_n into_o equal_a day_n therefore_o every_o such_o four_o year_n be_v call_v the_o leap-yeare_n if_o therefore_o you_o will_v then_o set_v the_o son_n declination_n by_o day_n table_n it_o be_v needful_a to_o make_v four_o sundry_a table_n of_o four_o such_o follow_a year_n the_o foresay_a difference_n of_o four_o revolution_n of_o the_o son_n come_v not_o equal_o alike_o with_o such_o four_o year_n be_v with_o length_n of_o time_n so_o much_o difference_n in_o the_o declination_n that_o it_o be_v needful_a to_o renew_v such_o table_n every_o twenty_o year_n now_o to_o find_v the_o declination_n of_o the_o son_n out_o of_o such_o table_n upon_o every_o day_n of_o the_o year_n it_o be_v needful_a to_o know_v two_o thing_n the_o first_o in_o what_o year_n you_o be_v either_o the_o leap-yeare_n or_o in_o the_o first_o second_v or_o three_o year_n after_o the_o second_o when_o you_o know_v the_o year_n which_o of_o the_o table_n you_o must_v use_v thereto_o for_o the_o first_o divide_v the_o year_n of_o our_o lord_n 1600_o by_o 4_o if_o the_o division_n come_v even_o out_o without_o remainder_n such_o a_o year_n be_v then_o a_o leap-year_n of_o 366_o day_n but_o if_o out_o of_o the_o division_n any_o number_n remain_v such_o remainder_n show_v you_o how_o much_o that_o such_o a_o propose_a year_n be_v after_o the_o leap-year_n the_o first_o example_n i_o desire_v to_o know_v what_o for_o a_o year_n 1644_o be_v leave_v the_o 1600_o take_v and_o divide_v the_o remain_v 44_o by_o 4_o that_o come_v even_o out_o without_o remainder_n for_o 11_o time_n 4_o be_v 44_o and_o from_o thence_o i_o find_v that_o the_o year_n 1644_o to_o be_v a_o leap-year_n the_o second_o example_n for_o to_o know_v what_o sort_n of_o year_n 1647._o be_v leave_v the_o 1600._o i_o divide_v the_o 47_o by_o 4_o and_o i_o find_v tha●_n there_o rest_v three_o for_o 11_o time_n 4_o be_v 44_o take_v that_o from_o 47_o and_o there_o remain_v 3_o and_o from_o thence_o i_o find_v that_o the_o year_n of_o 47_o be_v the_o three_o year_n after_o leap_v year_n to_o know_v the_o same_o without_o reckon_v consider_v this_o follow_a little_a table_n the_o first_o column_n be_v of_o the_o leape-yeare_n the_o second_o three_o &_o sourth_o column_n be_v the_o three_o year_n after_o the_o leape-yeare_n leap_v year_n 1_o year_n 2_o year_n 3_o year_n 1644_o 1645_o 1646_o 1647_o 1648_o 1649_o 1650_o 1651_o 1652_o 1653_o 1654._o 1655_o the_o second_o for_o to_o know_v which_o table_n you_o must_v use_v to_o every_o year_n that_o stand_v demonstrate_v above_o each_o of_o the_o follow_a table_n the_o first_o example_n in_o the_o second_o year_n follow_v
7_o 6_o 9_o  _fw-fr 7_o 5_o 29_o 7_o 16_o 22_o 7_o 22_o 42_o 8_o 22_o 35_o 8_o 16_o 15_o 8_o 5_o 46_o  _fw-fr 8_o 5_o 53_o 8_o 16_o 39_o 8_o 22_o 49_o 9_o 22_o 28_o 9_o 15_o 58_o 9_o 5_o 23_o  _fw-fr 9_o 6_o 16_o 9_o 16_o 57_o 9_o 22_o 55_o 10_o 22_o 20_o 10_o 15_o 40_o 10_o 5_o 0_o  _fw-fr 10_o 6_o 39_o 10_o 17_o 14_o 10_o 23_o 1_o 11_o 22_o 12_o 11_o 15_o 23_o 11_o 4_o 38_o  _fw-fr 11_o 7_o 2_o 11_o 17_o 31_o 11_o 23_o 6_o 12_o 22_o 4_o 12_o 15_o 5_o 12_o 4_o 16_o  _fw-fr 12_o 7_o 24_o 12_o 17_o 47_o 12_o 23_o 10_o 13_o 21_o 55_o 13_o 14_o 46_o 13_o 3_o 52_o  _fw-fr 13_o 7_o 47_o 13_o 18_o 3_o 13_o 23_o 15_o 14_o 21_o 47_o 14_o 14_o 28_o 14_o 3_o 29_o  _fw-fr 14_o 8_o 9_o 14_o 18_o 19_o 14_o 23_o 18_o 15_o 21_o 38_o 15_o 14_o 9_o 15_o 3_o 5_o  _fw-fr 15_o 8_o 32_o 15_o 18_o 35_o 15_o 23_o 21_o 16_o 21_o 28_o 16_o 13_o 51_o 16_o 2_o 42_o  _fw-fr 16_o 8_o 55_o 16_o 18_o 50_o 16_o 23_o 24_o 17_o 21_o 18_o 17_o 13_o 31_o 17_o 2_o 19_o  _fw-fr 17_o 9_o 17_o 17_o 19_o 5_o 17_o 23_o 27_o 18_o 21_o 7_o 18_o 13_o 12_o 18_o 1_o 55_o  _fw-fr 18_o 9_o 39_o 18_o 19_o 20_o 18_o 23_o 29_o 19_o 20_o 57_o 19_o 12_o 52_o 19_o 1_o 22_o  _fw-fr 19_o 10_o 0_o 19_o 19_o 34_o 19_o 23_o 30_o 20_o 20_o 46_o 20_o 12_o 33_o 20_o 1_o 9_o  _fw-fr 20_o 10_o 22_o 20_o 19_o 48_o 20_o 23_o 31_o 21_o 20_o 35_o 21_o 12_o 13_o 21_o 0_o 45_o  _fw-fr 21_o 10_o 44_o 21_o 20_o 2_o 21_o 23_o 31_o 22_o 20_o 23_o 22_o 11_o 53_o 22_o 0_o 22_o aequinoct_n 22_o 11_o 5_o 22_o 20_o 16_o 22_o 23_o 31_o 23_o 20_o 11_o 23_o 11_o 33_o 23_o 0_o 2_o 23_o 11_o 27_o 23_o 20_o 27_o 23_o 23_o 31_o 24_o 19_o 59_o 24_o 11_o 12_o 24_o 0_o 25_o  _fw-fr 24_o 11_o 48_o 24_o 20_o 40_o 24_o 23_o 30_o 25_o 19_o 46_o 25_o 10_o 51_o 25_o 0_o 49_o  _fw-fr 25_o 12_o 9_o 25_o 20_o 52_o 25_o 23_o 29_o 26_o 19_o 32_o 26_o 10_o 30_o 26_o 1_o 12_o  _fw-fr 26_o 12_o 30_o 26_o 21_o 3_o 26_o 23_o 27_o 27_o 19_o 19_o 27_o 10_o 9_o 27_o 1_o 36_o  _fw-fr 27_o 12_o 50_o 27_o 21_o 14_o 27_o 23_o 24_o 28_o 19_o 6_o 28_o 9_o 48_o 28_o 1_o 59_o  _fw-fr 28_o 13_o 10_o 28_o 21_o 25_o 28_o 23_o 21_o 29_o 18_o 51_o 29_o 9_o 27_o 29_o 2_o 23_o  _fw-fr 29_o 13_o 31_o 29_o 21_o 36_o 29_o 23_o 18_o 30_o 18_o 37_o 30_o 9_o 5_o 30_o 2_o 46_o  _fw-fr 30_o 13_o 52_o 30_o 21_o 45_o 30_o 23_o 14_o 31_o 18_o 22_o 31_o 8_o 44_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 31_o 14_o 11_o  _fw-fr  _fw-fr  _fw-fr 31_o 23_o 10_o the_o 12._o chapter_n of_o the_o length_n and_o the_o breadth_n of_o the_o fix_a star_n the_o star_n of_o the_o eigth_n heaven_n be_v call_v fix_v star_n because_o unlike_o the_o planet_n without_o motion_n they_o stand_v always_o fast_o and_o fix_v in_o one_o fashion_n and_o distance_n one_o from_o the_o other_o and_o be_v carry_v about_o altogether_o one_o with_o the_o other_o by_o the_o primum_fw-la mobile_n they_o be_v mark_v according_a to_o length_n and_o breadth_n their_o length_n be_v a_o part_n of_o the_o ecliptic_a contain_v between_o two_o half_a circle_n go_v both_o out_o of_o the_o pole_n of_o the_o ecliptic_a the_o one_o through_o the_o spring_n equinoctial_a or_o the_o begin_n of_o aries_n the_o other_o through_o the_o star_n themselves_o their_o breadth_n be_v a_o bow_n of_o the_o like_a half_a circle_n between_o the_o ecliptic_a line_n and_o the_o star_n that_o be_v two_o fold_v northerly_a &_o southerly_a the_o northerly_a which_o be_v northwards_o from_o the_o ecliptic_a and_o the_o southerly_a which_o stand_v southward_o from_o they_o demonstration_n let_v the_o ecliptic_a line_n be_v g_o d_o h._n let_v n_n be_v the_o northern_a and_o m_o the_o southern_a pole_n thereof_o f_o a_o certain_a star_n let_v two_o half_a circle_n be_v draw_v out_o of_o the_o foresay_a pole_n the_o one_o n_o d_o m_o through_o the_o spring_n equinoctial_a to_o d._n the_o other_o through_o the_o star_n f_o devide_v the_o ecliptic_a in_o k_o that_o part_n of_o the_o ecliptic_a d_o k_n be_v the_o length_n of_o such_o a_o star_n and_o the_o bow_n or_o part_n of_o the_o say_v half_a circle_n k_o f_o be_v his_o breadth_n towards_o the_o north_n because_o that_o it_o stand_v by_o north_n of_o the_o ecliptic_a the_o 13._o chapter_n concern_v the_o right_a ascension_n and_o declination_n of_o the_o fix_a star_n the_o right_a ascension_n of_o the_o star_n be_v a_o part_n of_o the_o equinoctial_a contain_v between_o two_o half_a circle_n go_v both_o out_o of_o the_o pole_n of_o the_o world_n the_o one_o through_o the_o spring_n equinoctial_a the_o other_o through_o the_o star_n their_o declination_n be_v a_o bow_n of_o the_o like_a half_a circle_n between_o the_o equinoctial_a and_o the_o say_a star_n this_o be_v also_o two_o fold_n northerly_a that_o which_o be_v by_o north_n the_o line_n and_o southerly_a which_o stand_v by_o south_n from_o it_o demonstration_n in_o the_o forego_n figure_n let_v c_o d_o e_o be_v the_o equinoctial_a line_n a_o the_o north_n and_o b_o the_o south_n pole_n of_o the_o world_n f_o a_o certain_a star_n draw_v two_o half_a circle_n out_o of_o the_o foresay_a pole_n the_o one_o a_o d_o b_o through_o the_o equinoctial_a or_o beginning_n of_o aries_n the_o other_o through_o the_o star_n mark_v with_o f_o which_o devide_v the_o equinoctial_a in_o l._n the_o part_n of_o the_o equinoctial_a l_o d_o be_v the_o right_a ascension_n of_o such_o a_o star_n and_o the_o bow_n or_o part_n of_o the_o same_o circle_n l_o f._n his_o declination_n towards_o the_o north_n or_o o_o i_o from_o the_o star_n to_o i_o towards_o the_o south_n the_o 14._o chapter_n concern_v the_o change_n of_o the_o declination_n of_o the_o fix_a star_n even_o as_o the_o starry_a heaven_n in_o our_o sight_n be_v drive_v about_o every_o 24_o hour_n by_o the_o primum_fw-la mobile_n upon_o the_o axepoint_v or_o pole_n of_o the_o world_n from_o east_n to_o west_n so_o be_v these_o also_o carry_v about_o upon_o the_o pole_n of_o the_o ecliptic_a line_n once_o in_o 25400_o year_n on_o the_o contrary_a from_o west_n to_o east_n even_o as_o the_o sun_n once_o every_o year_n by_o which_o the_o length_n of_o the_o star_n change_v every_o hondred_a year_n 1_o degree_n and_o 25_o minute_n or_o else_o every_o 20_o year_n 17_o minute_n but_o their_o breadth_n that_o be_v the_o distance_n from_o the_o ecliptic_a remain_v unchangeable_a always_o the_o same_o through_o the_o foresay_a change_n of_o the_o length_n by_o length_n of_o time_n change_v also_o the_o declination_n of_o the_o one_o more_o and_o also_o soon_o than_o of_o the_o other_o some_o be_v make_v less_o and_o some_o grow_v big_a some_o of_o they_o have_v northerly_a declination_n become_v souther_n and_o some_o other_o have_v southerly_a declination_n become_v on_o the_o contrary_a northerly_a demonstration_n let_v c_o d_o e_o be_v the_o equinoctial_a a_o the_o northern_a and_o b_o the_o southern_a pole_n of_o the_o world_n g_o d_o h_o the_o ecliptic_a line_n n_o m_o the_o pole_n thereof_o g_z the_o beginning_n of_o capricorn_n d_o of_o aries_n and_o h_n the_o end_n of_o gemini_fw-la or_o beginning_n of_o cancer_n let_v as_o be_v before_o say_v the_o star_n at_o f_o its_o length_n be_v in_o the_o ecliptic_a to_o l._n its_o breadth_n by_o north_n of_o it_o at_o l_o f_o its_o northerly_a declination_n be_v then_o five_o f._n if_o then_o the_o foresay_a star_n in_o many_o year_n run_v in_o length_n from_o f_o to_o l_o parallel_n with_o d_o h_n its_o breadth_n rest_v k_o t_o even_n until_o the_o soregoing_a f_o l_o but_o its_o declination_n i_o t_o be_v more_o than_o five_o f_o the_o first_o because_o that_o it_o be_v parallel_n with_o d_o h_n be_v more_o wend_v from_o the_o equinoctial_a line_n the_o star_n at_o o_o who_o length_n let_v it_o be_v in_o the_o ecliptic_a to_o q_o and_o its_o breadth_n q_o o._n have_v southerly_a declination_n p_o o_fw-fr but_o run_v in_o length_n from_o o_o to_o r_n parallel_n with_o q_o x_o its_o breadth_n remain_v x_o r_n even_o to_o q_n o_o but_o its_o southerly_a declination_n r_o s_n be_v less_o than_o o_o p_o because_o that_o it_o be_v parallel_n with_o g_z d_o be_v come_v near_o the_o equinoctial_a but_o if_o the_o same_o star_n come_v to_o run_v in_o length_n unto_o young_a its_o declination_n shall_v be_v y_z z_o by_o north_n the_o line_n that_o be_v speak_v of_o the_o 6_o first_o sign_n ♑_o ♒_o ♓_o ♈_o ♉_o ♊_o in_o the_o same_o
manner_n come_v to_o pass_v the_o contrary_a part_n in_o the_o other_o 6_o sign_n ♋_o ♌_o ♍_o ♎_o ♏_o and_o ♐_o thus_o in_o the_o same_o figure_n let_v h_n be_v the_o beginning_n of_o cancer_n d_o libra_n and_o g_o the_o end_n of_o sagitarius_n if_o a_o star_n at_o t_n have_v northerly_a declination_n t_o i_o run_v in_o length_n until_o f_o its_o declination_n f_o v_n be_v less_o than_o t_n i_o because_o it_o be_v come_v near_o the_o equinoctial_a then_o if_o so_o be_v that_o it_o run_v in_o length_n until_o b_o its_o deelination_n which_o be_v first_o northerly_a shall_v then_o be_v southerly_a from_o b_o to_z d._n through_o the_o foresay_a motion_n of_o the_o eigth_n sphere_n change_v also_o the_o declination_n of_o the_o northstarre_n which_o be_v every_o year_n great_a that_o be_v he_o depart_v the_o long_a the_o more_o from_o the_o equinoctial_a and_o come_v near_o the_o pole_n which_o shall_v endure_v to_o the_o year_n of_o our_o lord_n 2091_o then_o shall_v he_o be_v near_o and_o no_o more_o than_o 26_o minute_n and_o a_o half_a distant_a from_o it_o and_o after_o that_o time_n by_o little_a and_o little_o shall_v wend_v from_o it_o so_o that_o 12700_o year_n afterward_o it_o shall_v stand_v from_o the_o pole_n 47_o degree_n and_o 56_o minute_n how_o this_o come_v to_o pass_v may_v plain_o be_v conceive_v out_o of_o this_o manner_n of_o figure_n let_v a_o be_v the_o northern_a pole_n of_o the_o world_n in_o the_o middle_n of_o the_o equinoctial_a b._n d._n f._n c_o n_o the_o pole_n of_o the_o ecliptic_a in_o the_o middle_n of_o the_o ecliptic_a e_o d_o g_o c_o h_o the_o north-star_n its_o breadth_n from_o the_o ecliptic_a be_v q_o h_n 66_o degree_n and_o 2_o minute_n and_o its_o distance_n from_o the_o pole_n of_o the_o zodiaque_fw-la n_o h_n 23_o degree_n and_o 58_o minute_n they_o remain_v always_o alike_o even_o as_o the_o breadth_n and_o distance_n of_o all_o fix_a star_n from_o the_o pole_n of_o the_o zodiaque_fw-la n_o h_n 23_o degree_n and_o 58_o minute_n they_o remain_v always_o one_o and_o the_o same_o even_o as_o the_o breadth_n and_o distance_n of_o all_o fix_a star_n be_v from_o the_o zodiaque_fw-la pole_n as_o heretofore_o be_v say_v it_o be_v length_n from_o the_o spring_n equinoctial_a or_o beginning_n of_o aries_n for_o the_o year_n 1625._o be_v c_o qui_fw-fr 83_o degree_n and_o 24_o minute_n let_v there_o be_v draw_v a_o circle_n out_o of_o n_n the_o pole_n of_o the_o ecliptic_a as_o i_o l_o k_n o_o h_n who_o half_a diameter_n let_v be_v n_o h_n 23_o degree_n and_o 58_o minute_n even_o to_o the_o distance_n of_o the_o northstarre_n from_o the_o zodiaque_fw-la pole_n therein_o be_v close_v the_o northpole_n of_o the_o world_n at_o a_o as_o be_v less_o different_a from_o the_o zodiaque_fw-la pole_n then_o the_o northstarre_n upon_o the_o like_a circle_n the_o northstarre_n take_v his_o compass_n about_o the_o pole_n of_o the_o zodiaque_fw-la even_a as_o all_o the_o fix_a star_n in_o 25400_o year_n its_o distance_n from_o the_o world_n pole_n be_v for_o the_o year_n 1625_o a_o h_o 2_o degree_n 42_o minute_n and_o shall_v in_o the_o year_n of_o our_o lord_n 2091_o be_v come_v from_o h_n to_o i_o be_v then_o near_o to_o the_o world_n pole_n and_o stand_v no_o further_o of_o then_o 26_o ½_n minute_n go_v forward_o from_o i_o alongst_o to_o l_o until_o k_o it_o shall_v then_o be_v distant_a from_o the_o world_n pole_n mark_v with_o a_o k_o 27_o degree_n and_o 56_o minute_n but_o because_o the_o star_n keep_v not_o always_o one_o kind_n of_o declination_n we_o have_v for_o the_o furtherance_n of_o mariner_n prepare_v these_o two_o follow_a table_n the_o one_o show_v their_o declination_n for_o the_o year_n 1645._o and_o the_o second_o for_o the_o year_n 1654._o beside_o the_o declination_n there_o be_v adjoin_v the_o compliment_n of_o the_o declination_n that_o be_v how_o wide_o they_o stand_v from_o the_o pole_n a_o table_n of_o the_o declination_n of_o the_o chief_a of_o the_o fix_a star_n with_o their_o distance_n from_o the_o pole_n in_o the_o year_n 1645_o etc._n etc._n and_o 1655._o these_o star_n follow_v be_v all_o of_o they_o place_v in_o the_o southside_n of_o the_o equinoctial_a line_n and_o have_v southerly_a declination_n  _fw-fr anno_fw-la 1645._o anno_fw-la 1655._o  _fw-fr southerly_a declination_n degr_n min._n the_o distance_n from_o the_o s._n pole_n degr_n min._n southerly_a declination_n degr_n min._n the_o distance_n from_o the_o s._n pole_n degr_n min._n the_o northermost_a in_o the_o whale_n tail_n 10_o 46_o 79_o 14_o 10_o 43_o 79_o 17_o the_o southermost_a in_o the_o whale_n tail_n 19_o 57_o 70_o 3_o 19_o 54_o 70_o 6_o regel_n the_o left_a foot_n of_o orion_n 8_o 39_o 81_o 21_o 8_o 38_o 81_o 22_o the_o first_o of_o the_o three_o in_o the_o girdle_n of_o orion_n or_o the_o 3_o king_n 0_o 36_o 89_o 24_o 0_o 36_o 89_o 24_o the_o second_o in_o the_o girdle_n or_o 3_o king_n 1_o 27_o 88_o 33_o 1_o 27_o 88_o 33_o the_o three_o 2_o 10_o 87_o 50_o 2_o 10_o 87_o 50_o the_o great_a dog_n syrius_n 16_o 13_o 73_o 47_o 16_o 13_o 73_o 47_o the_o heart_n of_o the_o watersnake_n 7_o 8_o 82_o 52_o 7_o 10_o 82_o 50_o spica_fw-la virgin_n or_o the_o corneare_n 9_o 15_o 80_o 45_o 9_o 18_o 80_o 42_o the_o south_n balance_n 14_o 30_o 75_o 30_o 14_o 33_o 75_o 27_o the_o north_n balance_n 8_o 1_o 81_o 59_o 8_o 4_o 81_o 56_o the_o northermost_a and_o first_o at_o the_o lefthand_n of_o the_o snakebearer_n ophiuchus_n  _fw-fr 87_o 14_o 2_o 48_o 87_o 12_o 2_o 46_o  _fw-fr  _fw-fr  _fw-fr the_o left_a knee_n of_o ophiuchus_n 9_o 46_o 80_o 14_o 9_o 48_o 80_o 12_o the_o right_a knee_n of_o the_o snakebearer_n 15_o 12_o 74_o 48_o 15_o 13_o 74_o 47_o antare_n the_o heart_n of_o the_o scorpion_n 25_o 33_o 64_o 27_o 25_o 35_o 64_o 25_o the_o northermost_a of_o the_o 2_o in_o the_o horn_n of_o capricorn_n 13_o 33_o 76_o 27_o 13_o 32_o 76_o 28_o the_o southermost_a of_o the_o two_o 15_o 50_o 74_o 10_o 15_o 49_o 74_o 11_o the_o former_a or_o most_o westerly_a of_o the_o 2_o star_n in_o the_o tail_n of_o capricorn_n 18_o 10_o 71_o 50_o 18_o 8_o 71_o 52_o the_o second_o most_o easterly_a 17_o 39_o 72_o 21_o 17_o 37_o 72_o 23_o the_o leftshoulder_n of_o aquarius_n 7_o 4_o 82_o 56_o 7_o 2_o 82_o 58_o the_o right_a shoulder_n of_o aquarius_n 2_o 0_o 88_o 0_o 1_o 57_o 88_o 3_o the_o uttermost_a of_o aquarius_n name_v famahand_o 31_o 25_o 58_o 35_o 31_o 22_o 58_o 38_o these_o which_o follow_v be_v situate_a in_o the_o northside_n of_o the_o aequinoctial_a line_n and_o decline_v northward_o  _fw-fr anno_fw-la 1645._o anno_fw-la 1655._o  _fw-fr northerly_a declination_n degr_n min._n the_o distance_n from_o the_o n._n pole_n degr_n min._n northerly_a declination_n degr_n min._n the_o distance_n from_o the_o n._n pole_n degr_n min._n alrucuba_n the_o northstar_n 87_o 25_o 2_o 35_o 87_o 28_o 2_o 32_o the_o midlmost_o or_o bright_a of_o the_o watchman_n 75_o 40_o 14_o 20_o 75_o 37_o 14_o 23_o the_o breast_n of_o cassiopeia_n 54_o 37_o 35_o 23_o 54_o 40_o 35_o 20_o the_o hip_n of_o cassiopeia_n 58_o 49_o 31_o 11_o 58_o 52_o 31_o 8_o the_o knee_n of_o cassiopeia_n 58_o 22_o 31_o 38_o 58_o 25_o 31_o 35_o the_o bright_a in_o the_o clear_a of_o cassio_n 57_o 13_o 32_o 47_o 57_o 17_o 32_o 43_o the_o head_n of_o andromeda_n 27_o 9_o 62_o 51_o 27_o 12_o 62_o 48_o the_o girdle_n of_o andromeda_n 33_o 47_o 56_o 13_o 33_o 50_o 56_o 10_o the_o most_o southerly_a foot_n of_o andromeda_n 40_o 36_o 49_o 24_o 40_o 39_o 49_o 21_o the_o bright_a in_o the_o head_n of_o the_o ram._n 21_o 46_o 68_o 14_o 21_o 49_o 68_o 11_o the_o bright_a in_o the_o mouth_n of_o the_o whale_n 2_o 40_o 87_o 20_o 2_o 42_o 87_o 18_o the_o bright_a in_o the_o head_n of_o medusa_n 39_o 33_o 50_o 27_o 39_o 35_o 87_o 25_o the_o bright_a in_o the_o side_n of_o perseus_n 48_o 31_o 41_o 29_o 48_o 33_o 41_o 27_o aldebaran_n the_o south_n eye_n of_o the_o bull._n 15_o 48_o 74_o 12_o 15_o 50_o 74_o 10_o the_o north_n horn_n of_o the_o bull._n 28_o 16_o 61_o 44_o 28_o 17_o 16_o 43_o the_o south_n horn_n of_o the_o bull._n 20_o 54_o 69_o 6_o 20_o 54_o 69_o 6_o the_o left_a shoulder_n of_o the_o giant_n orion_n 5_o 59_o 84_o 1_o 6_o 0_o 84_o 0_o the_o right_a shoulder_n of_o orion_n 7_o 18_o 82_o 42_o 7_o 18_o 82_o 42_o hircus_fw-la or_o capella_n in_o the_o left_a shoulder_n of_o the_o carter_n erichtonius_fw-la 45_o 35_o 44_o 25_o 45_o 36_o 44_o 24_o the_o right_a shoulder_n of_o erichtonius_fw-la 44_o 52_o 45_o 8_o 44_o 52_o 45_o 8_o the_o bright_a
hour_n 8_o degree_n which_o make_v 36_o minute_n it_o be_v then_o 13_o hour_n 36_o minute_n from_o the_o noon_n tijde_v that_o be_v 1_o hour_n 36_o minute_n after_o midnight_n how_o to_o find_v the_o ascension_n on_o any_o day_n in_o the_o year_n of_o the_o sun_n and_o the_o star_n we_o have_v here_o adjoin_v 2_o table_n the_o one_o of_o the_o sun_n show_v from_o 5_o day_n to_o 5_o day_n the_o sun_n ascension_n out_o of_o which_o you_o may_v easy_o find_v the_o same_o in_o other_o day_n the_o other_o for_o thirty_o of_o the_o prime_a fix_a star_n both_o of_o they_o only_o by_o degree_n that_o be_v sufficient_a for_o this_o business_n the_o 18_o point_n a_o table_n of_o the_o right_n ascensum_fw-la of_o the_o sun_n the_o first_o number_n in_o the_o table_n show_v the_o day_n of_o the_o month_n the_o second_o of_o degree_n of_o the_o ascension_n of_o the_o sun_n on_o that_o day_n janu._n febr._n mart._n april_n may._n juni._n da._n deg_fw-la da._n deg_fw-la da._n deg_fw-la da._n deg_fw-la da._n deg_fw-la da._n deg_fw-la 5_o 287_o 5_o 319_o 5_o 346_o 5_o 14_o 5_o 42_o 5_o 73_o 10_o 292_o 10_o 324_o 10_o 351_o 10_o 19_o 10_o 47_o 10_o 78_o 15_o 297_o 15_o 329_o 15_o 355_o 15_o 24_o 15_o 52_o 15_o 83_o 20_o 303_o 20_o 334_o 20_o 360_o 20_o 28_o 20_o 57_o 20_o 88_o 25_o 308_o 25_o 339_o 25_o 4_o 25_o 33_o 15_o 62_o 25_o 94_o 31_o 314_o 28_o 342_o 31_o 10_o 30_o 38_o 31_o 68_o 31_o 99_o julius_n augu._n septe_n octo._n nove._n dece_fw-la da._n deg_fw-la da._n deg_fw-la da._n deg_fw-la da._n deg_fw-la da._n deg_fw-la da._n egg_n 5_o 104_o 5_o 135_o 5_o 164_o 5_o 191_o 5_o 220_o 5_o 251_o 10_o 109_o 10_o 140_o 10_o 168_o 10_o 195_o 10_o 225_o 10_o 257_o 15_o 114_o 15_o 145_o 15_o 173_o 15_o 200_o 15_o 231_o 15_o 263_o 20_o 119_o 20_o 149_o 20_o 177_o 20_o 205_o 20_o 236_o 20_o 268_o 25_o 124_o 25_o 154_o 25_o 182_o 25_o 210_o 25_o 241_o 25_o 274_o 31_o 130_o 31_o 159_o 30_o 187_o 31_o 215_o 30_o 246_o 31_o 281_o a_o table_n of_o the_o right_a ascension_n of_o the_o prime_a star_n the_o girdle_n of_o andromeda_n 12_o degree_n the_o clear_a in_o the_o head_n of_o the_o ram._n 27_o degree_n menkar_n the_o brtght_a in_o the_o mouth_n of_o the_o whale_n 41_o degr_n aldebaran_n the_o south_n eye_n of_o the_o bull._n 64_o degree_n capella_n in_o the_o left_a shoulder_n of_o erichtonius_fw-la 72_o degree_n regel_n the_o left_a foot_n of_o orion_n 74_o degree_n the_o star_n in_o the_o left_a shoulder_n of_o orion_n 84_o degree_n syrius_n the_o great_a dog_n 97_o degree_n the_o north_n head_n of_o gemini_fw-la 180_o degree_n the_o south_n head_n of_o gemini_fw-la 111_o degree_n procyon_n the_o little_a dog_n 110_o degree_n the_o bright_a in_o the_o watersnake_n corhydrae_n 137_o degree_n reguln_n the_o heart_n of_o the_o lyon_n 147_o degree_n the_o tail_n of_o the_o lyon_n 172_o degree_n vendemiatrix_fw-la the_o right_a wing_n of_o virgo_fw-la 191_o degree_n spica_fw-la virgin_n the_o ear_n of_o corn_n 196_o degree_n arcturus_n the_o bright_a in_o boötes_n 210_o degree_n arcturus_n the_o bright_a in_o boötes_n 218_o degree_n the_o south_n waight_n 210_o degree_n the_o north_n waight_n 224_o degree_n the_o bright_a in_o the_o north_n crown_n 230_o degree_n antare_v the_o hart_n of_o the_o scorpion_n 242_o degree_n the_o head_n of_o hercules_n 254_o degree_n the_o head_n of_o serpentarius_n 259_o degree_n the_o tail_n of_o the_o eagle_n 282_o degree_n vultur_n the_o clear_a in_o the_o eagle_n 293_o degree_n the_o star_n in_o the_o mouth_n of_o the_o horse_n pegasus_n 521_o degree_n formohant_v the_o bright_a in_o the_o end_n of_o aquarius_n 339_o degr_n marcab_n the_o sack_n or_o foot_n of_o pegasus_n 342_o degree_n the_o uttermost_a in_o the_o wing_n of_o pegasus_n 358_o degree_n the_o most_o northerly_a in_o the_o whale_n tail_n 360_o degree_n the_o 19_o point_n of_o the_o horizon_n or_o the_o circle_n that_o bound_v the_o sight_n where_o the_o heaven_n &_o the_o earth_n or_o the_o water_n seem_v in_o our_o sight_n to_o meet_v together_o that_o be_v call_v the_o horizon_n or_o the_o circle_n bound_v the_o sight_n because_o our_o sight_n end_v there_o &_o can_v go_v no_o further_o by_o our_o netherlands_n seafarers_a it_o be_v also_o call_v the_o kimmen_n this_o circle_n devide_v the_o heaven_n just_a in_o two_o even_a part_n so_o that_o just_o the_o one_o half_a be_v see_v by_o we_o here_o above_o and_o the_o other_o half_o can_v not_o be_v see_v by_o we_o because_o it_o be_v hide_v underneath_o we_o which_o happen_v in_o this_o manner_n the_o earth_n as_o in_o the_o first_o chapter_n be_v show_v stand_v as_o a_o centre_n in_o the_o middle_n of_o the_o heaven_n the_o which_o by_o reason_n of_o the_o unmeasurable_a quantity_n or_o largeness_n thereof_o be_v so_o far_o separate_v from_o the_o earth_n that_o the_o whole_a thickness_n of_o the_o earth_n in_o respect_n of_o the_o heaven_n be_v no_o more_o than_o a_o point_n or_o prick_v or_o at_o least_o so_o little_a that_o it_o can_v be_v perceive_v by_o our_o sight_n and_o that_o which_o by_o our_o sight_n along_o upon_o the_o earth_n or_o the_o water_n we_o can_v comprehend_v which_o can_v not_o reach_v further_o than_o about_o three_o dutch_a mile_n that_o be_v 10_o english_a mile_n seem_v in_o our_o eye_n by_o reason_n of_o the_o space_n so_o little_a to_o be_v no_o other_o than_o a_o half_a globe_n fall_v perpendicular_a upon_o a_o plain_a so_o that_o our_o sight_n fall_v in_o the_o heaven_n as_o if_o we_o stand_v in_o the_o middle_a point_n of_o the_o world_n and_o saw-right_a compass_n wise_a whereby_o it_o fall_v out_o that_o just_o the_o half_a of_o the_o heaven_n be_v see_v by_o we_o and_o the_o other_o half_o be_v not_o see_v by_o we_o in_o like_a manner_n as_o if_o a_o man_n shall_v lay_v a_o line_n over_o the_o centre_n of_o a_o circle_n than_o the_o one_o half_a of_o the_o circle_n be_v above_o and_o the_o other_o half_o be_v just_a under_o all_o the_o heavenly_a light_n as_o the_o sun_n moon_n and_o star_n by_o the_o turn_n of_o the_o heaven_n come_v above_o the_o horizon_n be_v see_v by_o we_o and_o go_v down_o under_o it_o go_v out_o of_o our_o sight_n the_o zenith_n be_v the_o point_n of_o the_o heaven_n direct_o over_o our_o head_n and_o be_v on_o all_o side_n equal_o distant_a from_o the_o horizon_n it_o be_v also_o call_v the_o pole_n of_o the_o horizon_n a_o explication_n the_o horizon_n be_v too_o be_v consider_v in_o the_o eye_n be_v elevate_v above_o the_o water_n the_o visible_a horizon_n be_v low_a than_o ●he_n true_v foot_n minute_n 2_o 1_o 4_o 2_o 8_o 3_o 14_o 4_o 20_o 5_o 27_o 6_o 37_o 7_o 39_o 8_o 53_o 9_o 66_o 10_o 82_o 11_o 100_o 12_o 140_o 13_o 163_o 14_o 186_o 15_o a_o twofold_a manner_n according_a to_o the_o true_a and_o the_o visible_a the_o true_a go_v every_o way_n right_o waterpasse_v from_o our_o sight_n that_o be_v pass_v through_o the_o centre_n of_o the_o sphere_n as_o be_v say_v devide_v it_o into_o equal_a part_n be_v every_o way_n from_o the_o zenith_n 90_o degree_n the_o just_a four_o part_n of_o a_o circle_n the_o visible_a be_v the_o uttermost_a part_n of_o the_o earth_n or_o water_n that_o our_o eye_n can_v reach_v or_o see_v when_o our_o eye_n be_v just_a on_o the_o flat_a or_o surface_n of_o the_o even_a water_n than_o the_o true_a and_o visible_a horizon_n be_v one_o and_o the_o same_o but_o our_o eye_n lift_v up_o above_o the_o surface_n of_o the_o water_n the_o sight_n fall_v over_o the_o globe_n of_o the_o earth_n every_o where_o low_o than_o waterpasse_a and_o thence_o it_o follow_v that_o the_o visible_a horizon_n be_v low_a than_o the_o true_a although_o this_o be_v not_o much_o material_a in_o the_o art_n of_o navigation_n for_o as_o much_o as_o it_o be_v recompense_v by_o the_o refraction_n of_o the_o visible_a horizon_n we_o have_v add_v this_o table_n for_o those_o that_o desire_v to_o be_v exact_a where_o man_n may_v see_v how_o much_o the_o visible_a differ_v from_o the_o true_a that_o be_v change_v or_o alter_v by_o foot_n example_n the_o sight_n be_v elevate_v above_o the_o surface_n of_o the_o water_n 14_o foot_n in_o the_o 1_o column_n in_o the_o 2_o column_n over_o against_o it_o you_o find_v 4_o min._n which_o the_o visible_a horizon_n be_v low_a than_o the_o true_a the_o sight_n be_v lift_v 140_o feetabout_o the_o horizon_n the_o visible_a will_v be_v 13_o mi._n lower_v then_o the_o true_a the_o 20_o point_n of_o the_o meridian_n or_o middle_a circle_n the_o meridian_n be_v a_o circle_n in_o the_o heaven_n which_o we_o must_v conceive_v to_o pass_v through_o both_o the_o pole_n of_o
themselves_o they_o be_v divers_a thing_n yet_o they_o be_v always_o one_o like_a unto_o the_o other_o any_o country_n be_v situate_v under_o the_o breadth_n of_o 30_o degree_n lie_v also_o in_o the_o height_n 30_o degree_n which_o by_o seafaring_a man_n be_v take_v without_o difference_n but_o what_o it_o be_v or_o what_o it_o have_v in_o it_o or_o signify_v few_o man_n understand_v and_o yet_o it_o behoove_v a_o seafaring_a man_n that_o seek_v for_o the_o height_n of_o any_o country_n to_o be_v expert_a therein_o for_o that_o no_o man_n without_o it_o can_v well_o understand_v how_o many_o instrument_n whether_o it_o be_v astrolabium_fw-la or_o cross_a staff_n no_o nor_o the_o sea-compasse_n itself_o shall_v well_o be_v use_v for_o that_o these_o thing_n be_v all_o build_v upon_o one_o foundation_n and_o like_o a_o chain_n hang_v one_o upon_o the_o other_o but_o it_o may_v be_v that_o some_o man_n will_v object_v and_o say_v that_o there_o be_v many_o pilot_n which_o do_v not_o 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