cast_v his_o point_n in_o manner_n follow_v and_o he_o shall_v errer_n as_o little_a as_o be_v possible_a let_v he_o examine_v according_a to_o the_o ordinary_a run_v of_o his_o ship_n how_o much_o way_n she_o may_v make_v every_o day_n that_o he_o have_v sail_v and_o the_o league_n that_o shall_v amount_v in_o all_o the_o day_n let_v he_o take_v between_o the_o point_n of_o one_o compass_n and_o let_v he_o place_v one_o point_n thereof_o upon_o the_o place_n from_o whence_o he_o depart_v and_o take_v another_o compass_n let_v he_o set_v one_o point_n thereof_o upon_o the_o graduation_n according_a to_o the_o height_n which_o he_o have_v take_v and_o the_o other_o point_n upon_o the_o next_o east_n and_o west_n rumb_n now_o let_v this_o compass_v run_v by_o his_o east_n and_o west_n rumb_n till_o the_o point_n come_v from_o the_o graduation_n meet_v with_o the_o second_o point_n of_o the_o other_o compass_n which_o he_o hold_v not_o upon_o the_o chart_n and_o in_o the_o place_n where_o they_o meet_v he_o may_v say_v that_o there_o be_v his_o point_n and_o his_o ship_n and_o because_o in_o this_o case_n all_o pilot_n do_v not_o use_v this_o point_n of_o imagination_n and_o height_n there_o grow_v great_a diversity_n among_o they_o concern_v their_o distance_n from_o land_n when_o as_o in_o long_a voyage_n they_o confer_v and_o communicate_v their_o opinion_n one_o with_o another_o insomuch_o that_o one_o according_a to_o his_o conjecture_n judge_v himself_o to_o be_v 50_o league_n from_o land_n another_o 100_o another_o 200_o and_o another_o think_v he_o be_v hard_a by_o the_o land_n the_o reason_n be_v because_o some_o of_o they_o cast_v their_o point_n by_o traverse_v other_o by_o imagination_n only_o and_o other_o by_o imagination_n and_o height_n who_o be_v always_o more_o certain_a than_o the_o rest_n chap._n xxiv_o what_o it_o be_v to_o increase_v or_o diminish_v in_o height_n the_o mariner_n call_v it_o increase_v in_o height_n when_o they_o go_v further_o and_o further_o from_o the_o equinoctial_a and_o diminish_v in_o height_n when_o they_o approach_v near_o to_o the_o equinoctial_a so_o that_o in_o our_o navigation_n we_o either_o sail_n from_o a_o great_a to_o a_o less_o altitude_n of_o the_o pole_n and_o then_o we_o go_v towards_o the_o equinoctial_a and_o then_o the_o height_n be_v say_v to_o be_v diminish_v or_o we_o sail_v from_o a_o less_o to_o a_o great_a height_n of_o the_o pole_n and_o then_o we_o go_v from_o the_o equinoctial_a and_o be_v say_v to_o increase_v our_o height_n and_o hence_o it_o be_v that_o cast_v our_o point_n by_o imagination_n and_o afterward_o have_v take_v the_o height_n amend_v it_o by_o traverse_v either_o the_o height_n wherein_o we_o find_v ourselves_o be_v take_v by_o the_o sun_n or_o star_n be_v great_a or_o else_o it_o be_v less_o than_o that_o which_o we_o make_v account_n of_o by_o imagination_n and_o hence_o do_v arise_v four_o rule_n the_o first_o be_v that_o when_o in_o sail_v we_o do_v increase_v the_o height_n if_o the_o point_n amend_v by_o traverse_v be_v of_o great_a height_n than_o the_o point_n of_o imagination_n the_o ship_n have_v go_v more_o than_o the_o point_n of_o imagination_n show_v we_o the_o second_o when_o we_o increase_v our_o height_n if_o the_o point_n amend_v by_o traverse_v be_v in_o less_o height_n than_o the_o point_n find_v by_o imagination_n then_o have_v the_o ship_n go_v less_o way_n than_o we_o imagine_v the_o three_o be_v when_o we_o diminish_v our_o height_n in_o sail_v if_o the_o point_n amend_v by_o traverse_v be_v in_o a_o great_a height_n than_o the_o point_n find_v by_o imagination_n then_o have_v the_o ship_n make_v less_o way_n than_o we_o guess_v by_o our_o imagination_n the_o four_o be_v when_o we_o diminish_v our_o height_n if_o the_o point_n amend_v by_o traverse_n be_v in_o less_o height_n than_o the_o point_n find_v by_o imagination_n then_o have_v the_o ship_n make_v more_o way_n than_o we_o imagine_v chap._n xxv_o how_o you_o may_v cast_v a_o traverse_n point_n without_o compass_n if_o a_o mariner_n chance_v to_o lose_v his_o compass_n he_o may_v cast_v his_o point_n of_o traverse_n after_o this_o manner_n let_v he_o take_v two_o slender_a thread_n and_o put_v the_o end_n of_o one_o of_o they_o upon_o the_o place_n from_o whence_o he_o depart_v let_v he_o stretch_v it_o in_o equal_a distance_n from_o the_o rumb_n by_o which_o he_o have_v sail_v and_o put_v another_o thread_n in_o equal_a distance_n from_o the_o next_o east_n and_o west_n rumb_n let_v he_o make_v it_o to_o pass_v by_o the_o degree_n of_o height_n in_o which_o he_o find_v himself_o and_o where_o the_o two_o thread_n cross_v one_o another_o there_o be_v the_o point_n of_o the_o ship_n and_o always_o the_o first_o thread_n if_o it_o have_v not_o change_v the_o course_n show_v the_o way_n which_o the_o ship_n have_v go_v and_o the_o second_o the_o parallel_n wherein_o the_o ship_n be_v chap._n xxvi_o of_o another_o kind_n of_o cast_v a_o point_n by_o traverse_n examine_v the_o difference_n of_o the_o degree_n of_o distance_n from_o the_o equinoctial_a which_o be_v between_o the_o place_n from_o whence_o the_o ship_n set_v forth_o and_o the_o place_n where_o the_o ship_n be_v then_o take_v the_o heighth_n of_o both_o place_n very_o precise_o and_o subtract_v the_o lesser_a out_o of_o the_o great_a that_o which_o remain_v be_v the_o difference_n which_o difference_n you_o must_v multiply_v by_o the_o league_n which_o answer_n to_o one_o degree_n in_o the_o rumb_n by_o which_o you_o have_v sail_v and_o those_o league_n which_o the_o degree_n and_o minute_n of_o difference_n shall_v make_v you_o shall_v take_v between_o the_o point_n of_o a_o pair_n of_o compass_n out_o of_o your_o scale_n of_o league_n and_o hold_v the_o say_a compass_n so_o open_a set_v one_o foot_n thereof_o upon_o the_o point_n from_o whence_o the_o ship_n depart_v and_o the_o other_o foot_n stretch_v towards_o the_o place_n whithre_o the_o ship_n have_v sail_v you_o must_v hold_v up_o a_o little_a from_o the_o chart_n and_o you_o must_v set_v one_o foot_n of_o the_o other_o compass_n at_o the_o degree_n of_o the_o distance_n wherein_o your_o ship_n be_v from_o the_o equinoctial_a when_o the_o say_a point_n be_v seek_v for_o and_o the_o other_o point_n you_o must_v place_n upon_o the_o next_o east_n and_o west_n parallel_v and_o let_v this_o second_o compass_n run_v by_o his_o next_o east_n and_o west_n rumb_n until_o the_o point_n of_o the_o first_o compass_n lift_v up_o be_v set_v down_o that_o point_n of_o the_o second_o compass_n which_o come_v from_o the_o say_a degree_n do_v meet_v therewithal_o and_o where_o those_o two_o point_n shall_v meet_v there_o be_v the_o true_a point_n of_o the_o ship_n chap._n xxvii_o of_o the_o league_n which_o in_o navigation_n answer_v to_o each_o degree_n of_o latitude_n in_o every_o rumb_n if_o we_o suppose_v as_o we_o have_v before_o say_v in_o the_o chap._n of_o the_o quantity_n of_o the_o earth_n that_o the_o great_a circle_n thereof_o conain_v in_o compass_n 6300_o common_a spanish_a league_n then_o unto_o every_o degree_n of_o the_o meridian_n which_o be_v the_o great_a circle_n do_v answer_v 17_o spanish_a leagus_n and_o a_o half_a so_o that_o sail_a north_n and_o south_n if_o your_o height_n of_o the_o pole_n or_o your_o distance_n from_o the_o equinoctial_a be_v vary_v one_o degree_n you_o may_v say_v that_o you_o have_v go_v seventeen_o league_n and_o a_o half_a but_o if_o you_o vary_v one_o degree_n and_o hold_v your_o course_n upon_o the_o first_o point_n then_o have_v you_o sail_v 17_o league_n and_o ⅙_n and_o you_o have_v decline_v from_o the_o meridian_n or_o right_a line_n which_o pass_v by_o the_o place_n from_o which_o you_o depart_v three_o leagus_n and_o a_o half_a and_o if_o you_o sail_v upon_o the_o second_o point_n from_o the_o north_n or_o south_n till_o your_o height_n of_o the_o pole_n be_v change_v one_o degree_n you_o have_v then_o go_v 19_o league_n and_o ⅜_n and_o be_v distant_a from_o your_o right_a line_n 7_o league_n and_o ¼_n and_o vary_v a_o degree_n upon_o the_o three_o point_n of_o the_o compass_n from_o north_n or_o south_n you_o have_v go_v 21_o league_n and_o be_v depart_v from_o your_o right_a line_n 11_o league_n and_o ⅔_n sail_v upon_o the_o four_o point_n of_o the_o compass_n there_o do_v answer_v unto_o every_o degree_n 24_o league_n and_o three_o fourth_n and_o you_o be_v distant_a from_o the_o right_a line_n or_o meridian_n 17_o league_n and_o a_o half_a upon_o the_o five_o point_n you_o must_v allow_v for_o one_o degree_n 31_o league_n and_o a_o half_a and_o then_o be_v you_o distant_a from_o your_o right_a line_n 26_o league_n and_o ⅕_n upon_o the_o six_o point_n do_v
mile_n from_o cape_n das_fw-la aguillas_fw-la as_o it_o appear_v by_o the_o table_n of_o variation_n which_o place_n be_v in_o the_o longitude_n of_o 60_o degree_n and_o in_o the_o midst_n betwixt_o both_o at_o 30_o degr_n as_o in_o the_o north_n part_n again_o there_o be_v the_o great_a northea_n of_o which_o place_n there_o be_v this_o mention_n make_v in_o the_o table_n or_o view_n of_o variation_n towards_o the_o northwest_o northerly_a from_o the_o land_n of_o tristan_n de_fw-fr cuncha_n where_o the_o variation_n be_v 19_o degree_n out_o of_o these_o we_o may_v conclude_v that_o the_o magnetical_a needle_n do_v point_n due_a north_n in_o every_o place_n situate_a in_o two_o meridian_n half_a circle_n draw_v from_o the_o one_o pole_n to_o the_o other_o by_o corvo_n and_o helmshudâ—_n and_o that_o the_o great_a northea_n be_v in_o all_o place_n situate_v in_o the_o meridian_n semicircle_n draw_v by_o that_o place_n which_o we_o say_v be_v distant_a one_o mile_n from_o plymouth_n towards_o the_o east_n so_o as_o that_o part_n of_o the_o earth_n which_o be_v contain_v between_o two_o meridian_n semicircle_n distant_a each_o from_o other_o 60_o degree_n in_o longitude_n be_v the_o space_n wherein_o the_o magnetical_a needle_n always_o decline_v from_o the_o north_n towards_o the_o east_n and_o the_o half_a of_o that_o part_n that_o be_v that_o portion_n of_o the_o earth_n which_o be_v include_v between_o two_o meridian_n semicircle_n the_o first_o of_o which_o be_v draw_v by_o the_o beginning_n the_o other_o by_o the_o 30_o degr_n of_o longitude_n be_v every_o where_o the_o place_n of_o the_o northea_n increase_a but_o the_o other_o half_o be_v the_o place_n of_o the_o northea_n decrease_a to_o wit_n when_o one_o go_v from_o the_o west_n eastward_o follow_v the_o order_n of_o the_o degree_n of_o longitude_n by_o this_o that_o have_v be_v speak_v of_o the_o first_o segment_n with_o the_o northea_n and_o his_o part_n in_o one_o of_o which_o part_v the_o northea_n be_v increase_v in_o the_o other_o decrease_v it_o may_v easy_o be_v understand_v what_o the_o manner_n of_o the_o second_o segment_n be_v with_o the_o northwe_n and_o what_o be_v the_o manner_n of_o the_o part_n thereof_o whereof_o one_o be_v the_o part_n of_o the_o northwe_n increase_a the_o other_o be_v the_o part_n of_o the_o northwe_n decrease_a for_o in_o the_o mouth_n of_o the_o river_n cantan_n in_o china_n at_o the_o longitude_n of_o 160_o degree_n distant_a from_o corvo_n the_o needle_n point_v due_a north_n the_o three_o time_n there_o therefore_o draw_v the_o three_o meridian_n semicircle_n the_o portion_n of_o the_o earth_n between_o the_o foresay_a second_o meridian_n semicircle_n and_o this_o three_o distant_a each_n from_o other_o 100_o degree_n in_o longitude_n shall_v be_v the_o space_n wherein_o the_o magnetical_a needle_n decline_v from_o the_o north_n towards_o the_o west_n and_o in_o the_o middle_n of_o both_o in_o the_o meridian_n semicircle_n 50_o degree_n distant_a from_o the_o second_o and_o as_o much_o from_o the_o three_o or_o otherwise_o 110_o degree_n remove_v from_o the_o first_o meridian_n draw_v by_o corvo_n shall_v be_v the_o great_a variation_n of_o the_o magnetical_a needle_n as_o it_o appear_v out_o of_o the_o table_n of_o variation_n in_o two_o place_n whereof_o one_o be_v in_o william_n island_n at_o nova_n zembla_n where_o the_o great_a northwe_n be_v find_v to_o be_v 33_o degree_n the_o other_o be_v distant_a 34_o dutch_n mile_n to_o the_o southeast_n from_o brandaon_n where_o the_o great_a variation_n be_v find_v to_o be_v 22_o degree_n and_o the_o longitude_n of_o each_o of_o those_o place_n be_v 110_o degree_n so_o as_o in_o the_o half_a of_o the_o second_o space_n which_o portion_n of_o the_o earth_n be_v contain_v between_o the_o meridian_n semicircle_n of_o 60_o degree_n longitude_n and_o of_o 110_o degr_n the_o northwe_n be_v every_o where_o increase_v in_o the_o other_o half_o decrease_v of_o these_o 160_o degree_n of_o longitude_n which_o arch_n want_v but_o 20_o degree_n of_o half_a the_o compass_n of_o the_o earth_n plancius_n have_v attain_v to_o the_o knowledge_n of_o the_o variation_n in_o such_o sort_n as_o now_o we_o have_v show_v as_o concern_v the_o other_o part_n of_o the_o world_n distant_a either_o towards_o the_o west_n from_o corvo_n or_o towards_o the_o east_n from_o cantan_n the_o experiment_n which_o hitherto_o the_o have_v get_v from_o the_o spaniard_n the_o englishman_n and_o our_o countryman_n the_o netherlander_n do_v not_o well_o agree_v neither_o be_v it_o any_o marvel_n see_v they_o have_v neither_o perfect_a knowledge_n nor_o needful_a instrument_n for_o that_o purpose_n yet_o he_o expect_v other_o experiment_n from_o the_o ship_n which_o have_v now_o be_v abroad_o 14_o month_n and_o more_o in_o the_o mean_a time_n we_o will_v bring_v forth_o that_o to_o public_a view_n which_o a_o man_n may_v without_o absurdity_n imagine_v if_o so_o be_v that_o the_o property_n of_o point_v due_a north_n take_v place_n not_o only_o in_o the_o three_o foresay_a semicircle_n which_o we_o conjecture_v to_o be_v meridian_n semicircle_n draw_v from_o the_o one_o pole_n to_o the_o other_o but_o in_o the_o whole_a circle_n also_o there_o shall_v then_o be_v six_o such_o semicircle_n upon_o the_o earth_n contain_v also_o between_o they_o six_o part_n or_o space_n of_o the_o upper_a face_n of_o the_o earth_n the_o first_o with_o the_o northea_n 60_o degree_n long_o the_o second_o with_o the_o northwe_v 100_o degr_n long_o the_o three_o with_o the_o northea_n 20_o degr_n long_o the_o four_o with_o the_o northwe_v 60_o degr_n long_o the_o five_o with_o the_o northea_n 100_o degr_n long_o the_o six_o with_o the_o northwe_v 20_o degr_n long_o that_o those_o thing_n which_o have_v be_v speak_v may_v by_o certain_a geometrical_a figure_n be_v more_o clear_o conceive_v let_v abcdefghiklm_n be_v the_o equinoctial_a of_o the_o earth_n let_v n_o be_v the_o poâ—e_n then_o let_v na_n be_v the_o half_a of_o the_o first_o meridian_n semicircle_n draw_v by_o corvo_n nc_n half_a of_o the_o second_o semicircle_n ne_fw-fr of_o the_o three_o ng_z of_o the_o four_o ni_fw-fr of_o the_o five_o nl_n of_o the_o six_o so_o as_o the_o arch_n ac_fw-la may_v make_v 60_o degree_n ce._n 100_o degr_n and_o so_o ae_n 160_o degr_n eglantine_n 20_o degr_n and_o so_o agnostus_n 180_o degr_n give_v 60._o degr·_fw-la and_o so_o ai_fw-fr 240._o il_fw-fr 100_o degree_n and_o so_o all_o 340_o degr_n la_fw-fr 20_o degr_n and_o so_o the_o whole_a circle_n 360_o degree_n then_o let_v the_o six_o point_n bdfhkm_v be_v the_o middle_n between_o ac_fw-la ce_fw-fr eglantine_n give_v il_fw-fr la._n which_o be_v suppose_v anc_n shall_v signify_v the_o first_o space_n with_o the_o northea_n anb_n the_o northea_n of_o the_o first_o space_n increase_v bnc_fw-la the_o northea_n of_o the_o first_o space_n decrease_v cne_n the_o second_o space_n with_o the_o northwe_n cnd_o the_o northwe_n of_o the_o second_o space_n increase_v dne_n the_o northwe_n of_o the_o second_o space_n decrease_v eng_n the_o three_o space_n with_o the_o northea_n enf_n the_o northea_n of_o the_o three_o space_n increase_v fng_v the_o northea_n of_o the_o three_o space_n decrease_v gni_n the_o four_o space_n with_o the_o northwe_n gnh_v the_o northwe_n of_o the_o 4_o space_n increase_v hni_n the_o northwe_n of_o the_o 4_o space_n decrease_v inl_n the_o five_o space_n with_o the_o northea_n ink_n the_o northea_n of_o the_o five_o space_n increase_v knl_n the_o northea_n of_o the_o five_o space_n decrease_v lna_n the_o six_o space_n with_o the_o northwe_n lnm_fw-la the_o northwe_n of_o the_o 6_o space_n increase_v mna_n the_o northwe_n of_o the_o 6_o space_n decrease_v the_o second_o definition_n the_o northea_n or_o northwe_v increase_v be_v that_o whereby_o the_o variation_n increase_v the_o magnetical_a needle_n be_v carry_v from_o the_o west_n eastward_n and_o the_o northea_n or_o the_o northwe_n decrease_a be_v that_o whereby_o it_o decrease_v the_o three_o definition_n the_o semicircle_n of_o the_o meridian_n in_o which_o the_o needle_n point_v due_a north_n we_o call_v the_o first_o and_o second_o meridian_n semicircle_n and_o so_o forward_o according_a to_o the_o order_n of_o the_o degree_n of_o longitude_n how_o many_o soever_o such_o semicircle_n there_o shall_v be_v beginning_n at_o the_o semicircle_n draw_v by_o corvo_n the_o four_o definition_n the_o portion_n of_o the_o spherical_a superficies_n or_o round_o upper_a face_n of_o the_o earth_n contain_v by_o the_o first_o and_o second_o meridian_n semicircle_n be_v call_v the_o first_o part_n or_o space_n and_o the_o rest_n in_o order_n the_o second_o the_o three_o and_o so_o forth_o unto_o the_o end_n have_v thus_o set_v down_o the_o manner_n of_o the_o variation_n it_o remain_v that_o we_o show_v by_o example_n that_o which_o
aequinoctial_a than_o the_o secans_fw-la of_o that_o parallel_n latitude_n have_v to_o the_o whole_a sine_z but_o in_o this_o table_n it_o be_v think_v sufficient_a to_o use_v such_o exactness_n as_o that_o thereby_o in_o draw_v the_o lineament_n of_o the_o nautical_a planisphaere_n sensible_a error_n may_v be_v avoid_v he_o that_o list_v to_o be_v more_o precise_a may_v make_v the_o like_a table_n to_o decade_n or_o ten_o of_o second_o out_o of_o joachimus_n rhaeticus_n his_o canon_n magnus_fw-la triangulorum_fw-la notwithstanding_o the_o geometrician_n that_o desire_v exact_a truth_n can_v be_v so_o satisfy_v neither_o for_o who_o sake_n and_o further_a satisfaction_n i_o think_v good_a to_o adjoyn_v also_o this_o geometrical_a conceit_n of_o divide_v a_o meridian_n of_o the_o nautical_a planisphaere_n let_v the_o aequinoctial_a and_o a_o meridian_n be_v draw_v upon_o a_o globe_n let_v the_o meridian_n divide_v into_o degree_n minute_n second_o etc._n etc._n roll_n upon_o a_o straight_a line_n beginning_n at_o the_o aequinoctial_a the_o globe_n swell_v in_o the_o mean_a time_n in_o such_o sort_n that_o the_o semidiameter_n thereof_o may_v be_v always_o equal_a to_o the_o secans_fw-la of_o the_o angle_n or_o arch_n contain_v between_o the_o aequinoctial_a and_o semediameter_n insist_v at_o right_a angle_n upon_o the_o foresay_a straight_a line_n the_o degree_n minute_n second_o etc._n etc._n of_o the_o meridian_n note_v in_o the_o straight_a line_n as_o they_o come_v to_o touch_v the_o same_o be_v the_o division_n of_o the_o meridian_n in_o the_o nautical_a planisphaere_n and_o this_o conceit_n of_o divide_v the_o meridian_n of_o the_o nautical_a planisphaere_n may_v satisfy_v the_o curious_a exactness_n of_o the_o geometritian_n but_o for_o mechanical_a use_n the_o table_n before_o mention_v which_o here_o now_o follow_v may_v suffice_v this_o table_n serve_v principal_o for_o the_o true_a divide_v of_o the_o meridian_n of_o the_o sea_n chartley_n in_o such_o sort_n that_o in_o any_o part_n thereof_o a_o minute_n of_o the_o meridian_n shall_v have_v the_o same_o proportion_n to_o a_o minute_n of_o the_o parallel_n thereto_o adjoin_v that_o it_o have_v in_o the_o globe_n may_v not_o unfit_o be_v call_v a_o table_n of_o latitude_n for_o as_o in_o geographie_n the_o latitude_n of_o a_o place_n be_v nothing_o else_o but_o the_o short_a distance_n thereof_o from_o the_o aequinoctial_a line_n measure_v upon_o the_o convexitie_n of_o the_o earth_n or_o sea_n in_o degree_n and_o minute_n and_o therefore_o table_n contain_v such_o distance_n be_v ordinary_o call_v table_n of_o latitude_n so_o this_o table_n show_v the_o distance_n of_o every_o minute_n of_o a_o meridian_n in_o the_o sea_n chartley_n from_o the_o aequinoctial_a line_n thereof_o towards_o the_o north_n or_o south_n in_o such_o equal_a part_n whereof_o one_o minute_n of_o the_o aequinoctial_a be_v suppose_v to_o contain_v 10,000_o may_v with_o like_a reason_n by_o a_o certain_a analogy_n and_o resemblance_n it_o hold_v with_o the_o foresay_a table_n be_v very_o well_o call_v a_o table_n of_o latitude_n of_o every_o minute_n of_o a_o meridian_n of_o the_o sea_n chartley_n in_o such_o part_n whereof_o each_o minute_n of_o the_o aequinoctial_a contain_v 10,000_o this_o table_n be_v divide_v into_o three_o column_n whereof_o the_o first_o contain_v in_o the_o head_n thereof_o the_o degree_n and_o in_o the_o rest_n of_o that_o column_n minute_n of_o a_o meridian_n of_o the_o nautical_a planisphaer_n begin_v at_o the_o aequinoctial_a line_n in_o the_o second_o column_n be_v place_v equal_a part_n of_o the_o same_o meridian_n begin_v likewise_o to_o be_v number_v from_o the_o aequinoctial_a of_o which_o part_v each_o minute_n of_o the_o aequinoctial_a be_v suppose_v to_o contain_v 10,000_o and_o show_v how_o many_o of_o these_o part_n each_o minute_n of_o latitude_n in_o the_o sea_n chartley_n must_v be_v distant_a from_o the_o aequinoctial_a the_o three_o column_n show_v the_o difference_n of_o the_o number_n set_v down_o in_o the_o second_o column_n the_o use_n hereof_o follow_v after_o this_o table_n a_o table_n of_o latitude_n etc._n etc._n min._n 0_o degr._fw-la  _fw-fr 1_o degr._fw-la  _fw-fr 2_o degr._fw-la  _fw-fr 3_o degr._fw-la  _fw-fr equal_a part_n of_o a_o merid._n difference_n of_o equ_n par_fw-fr equal_a part_n of_o a_o merid._n difference_n of_o equ_n par_fw-fr equal_a part_n of_o a_o merid._n difference_n of_o equ_n par_fw-fr equal_a part_n of_o a_o merid._n difference_n of_o equ_n par_fw-fr 0_o 00.000_o 10.000_o 600.012_o 10.001_o 1.200.196_o 10.006_o 1.800.749_o 10.013_o 1_o 10.000_o 10.000_o 610.013_o 10.001_o 1.210.202_o 10.006_o 1.810.762_o 10.014_o 2_o 20_o 000_o 10.000_o 620.014_o 10.001_o 1.220.208_o 10.006_o 1.820.776_o 10.014_o 3_o 30.000_o 10.000_o 630.015_o 10.001_o 1.230.214_o 10.006_o 1.830.790_o 10.014_o 4_o 40.000_o 10.000_o 640_o 016_o 10.001_o 1.240.220_o 10.006_o 1.840.804_o 10.014_o 5_o 50.000_o 10.000_o 650.017_o 10.001_o 1.250.226_o 10.006_o 1.850.818_o 10.014_o 6_o 60_o 000_o 10.000_o 660.018_o 10.001_o 1.260.232_o 10.006_o 1.860.832_o 10.014_o 7_o 70_o 000_o 10.000_o 670.019_o 10.001_o 1.270.238_o 10.006_o 1.870.846_o 10.014_o 8_o 80.000_o 10.000_o 680.020_o 10.002_o 1.280.244_o 10.007_o 1.888.860_o 10.015_o 9_o 90.000_o 10.000_o 690.022_o 10.002_o 1.290.251_o 10.007_o 1.890.875_o 10.015_o 10_o 100_o 000_o 10.000_o 700.024_o 10.002_o 1.300.258_o 10.007_o 1.900.890_o 10.015_o 11_o 110_o 000_o 10.000_o 710.026_o 10.002_o 1.130.265_o 10.007_o 1.910.905_o 10.015_o 12_o 120.000_o 10.000_o 720.028_o 10.002_o 1.320.272_o 10.007_o 1.920.920_o 10.015_o 13_o 130.000_o 10.000_o 730.030_o 10.002_o 1.330.279_o 10.007_o 1.931.935_o 10.015_o 14_o 140·000_n 10.000_o 740.032_o 10.002_o 1.340.286_o 10.007_o 1.940.950_o 10.016_o 15_o 150.000_o 10.000_o 750.034_o 10.002_o 1.350.293_o 10.007_o 1.950.966_o 10.016_o 16_o 160.000_o 10.000_o 760.036_o 10.002_o 1.360.300_o 10.007_o 1.960.982_o 10.016_o 17_o 170.000_o 10.000_o 770.038_o 10.002_o 1.370.307_o 10.008_o 1.970.998_o 10.016_o 18_o 180.000_o 10.000_o 780.040_o 10.002_o 1.380.315_o 10.008_o 1.981.014_o 10.016_o 19_o 190.000_o 10.000_o 790.042_o 10.002_o 1.390.323_o 10.008_o 1.991.030_o 10.016_o 20_o 200.000_o 10.000_o 800.044_o 10.002_o 1.400.331_o 10.008_o 2.001.046_o 10.017_o 21_o 210.000_o 10.000_o 810.046_o 10.002_o 1.410.339_o 10.008_o 2.011.063_o 10.017_o 22_o 220.000_o 10.000_o 820.048_o 10.002_o 1.420.347_o 10.008_o 2.021.080_o 10.017_o 23_o 230.000_o 10.000_o 830.050_o 10.002_o 1.430.355_o 10.008_o 2.031.097_o 10.017_o 24_o 240.000_o 10.000_o 840·052_n 10.003_o 1.440.363_o 10.008_o 2.041.114_o 10.017_o 25_o 250.000_o 10.000_o 850.055_o 10.003_o 1.450.371_o 10.009_o 2.051.131_o 10.017_o 26_o 260.000_o 10.000_o 860.058_o 10.003_o 1.460.380_o 10.009_o 2·061_n 148_o 10.018_o 27_o 270.000_o 10.000_o 870.061_o 10.003_o 1.470.389_o 10.009_o 2·071_n 166_o 10.018_o 28_o 280.000_o 10.000_o 880.064_o 10.003_o 1.480.398_o 10.009_o 2·081_n 184_o 10.018_o 29_o 290.000_o 10.000_o 8â—0_n 067_o 10_o 00â—_n 1.490.407_o 10.009_o 2·091_n 201_o 10.018_o 30_o 300.000_o 10.000_o 900.070_o 10.003_o 1.500.416_o 10.009_o 2.101.220_o 10.018_o 31_o 310.000_o 10.000_o 910.073_o 10.003_o 1.510.425_o 10.009_o 2.111.238_o 10.019_o 32_o 320.000_o 10.000_o 920.076_o 10.003_o 1.520.434_o 10.009_o 2.121.257_o 10.019_o 33_o 330.000_o 10.000_o 930.079_o 10.003_o 1.530.443_o 10.010_o 2.131.276_o 10.019_o 34_o 340.000_o 10.000_o 940.082_o 10.003_o 1.540.453_o 10.010_o 2.141.295_o 10_o 019_o 35_o 350.000_o 10.000_o 950.085_o 10.003_o 1.550.463_o 10.010_o 2.151.314_o 10.019_o 36_o 360_o 00â—_n 10_o 000_o 960.088_o 10.003_o 1.560.473_o 10.010_o 2.161.333_o 10.019_o 37_o 370_o 00â—_n 10.000_o 970.091_o 10.004_o 1.570.483_o 10.010_o 2.171.352_o 10.020_o 38_o 380.000_o 10.000_o 980.095_o 10_o 0â—4_n 1.580.493_o 10.010_o 2.181.372_o 10.020_o 39_o 390.000_o 10.000_o 990·099_n 10.004_o 1.590.503_o 10.010_o 2_o 191_o 392_o 10.020_o 40_o 400.000_o 10_o 0â—0_n 1.000.103_o 10.004_o 1.600.513_o 10.010_o 2.201.412_o 10.020_o 41_o 410.000_o 10.000_o 1.010.107_o 10.004_o 1.610.523_o 10.011_o 2.211.432_o 10.021_o 42_o 420.000_o 10.000_o 1.020.111_o 10.004_o 1.620.534_o 10.011_o 2_o 221.4â—2_n 10.021_o 43_o 430.000_o 10.000_o 1.030.115_o 10.004_o 1.630.545_o 10.011_o 2.231.473_o 10.021_o 44_o 440.000_o 10_o 000_o 1.040.119_o 10.004_o 1.640.556_o 10.011_o 2.241.494_o 10.001_o 45_o 450.000_o 10.000_o 1.050.123_o 10.004_o 1.650.567_o 10.011_o 2.251.515_o 12.021_o 46_o 460.000_o 10.000_o 1.060.127_o 10.004_o 1.660.578_o 10.011_o 2.261_o 536_o 12.021_o 47_o 470.000_o 10.000_o 1.070.131_o 10.004_o 1.670.589_o 10.011_o 2.271.557_o 11.002_o 48_o 480.000_o 10.001_o 1.080.135_o 10.005_o 1.680.600_o 10.012_o 2.281.570_o 10.022_o 49_o 490.000_o 10.001_o 1.090.140_o 10.005_o 1.690.612_o 10.012_o 2.291.601_o 10.022_o 50_o 500_o 00â—_n 10.001_o 1.100.145_o 10.005_o 1.709.624_o 10.012_o 2_o 301.62â—_n 10.022_o 51_o 510.000_o 10.001_o 1.110.150_o 10.005_o 1.710.636_o 10.012_o 2.311.645_o 10.022_o 52_o 520.000_o 10.001_o 1.120.155_o 10.005_o 1.720.648_o 10.012_o 2.321.667_o 10.023_o 53_o 530.000_o 10_o 001_o 1.130.160_o 10.005_o 1.730.660_o 10.012_o 2.331.690_o 10.023_o 54_o 540.000_o 10.001_o 1·140_n 165_o 10.005_o 1.740.672_o 10.012_o 2.341.713_o 10.023_o 55_o 550.000_o 10.001_o 1.150.170_o 10.005_o 1.750.684_o 10.013_o 2.351.736_o 10.023_o 56_o 560.000_o 10.001_o 1.160.175_o 10.005_o 1.760.697_o 10.013_o 2.361.759_o 10.023_o
with_o the_o regiment_n of_o the_o sun_n and_o of_o the_o star_n the_o rule_n of_o the_o moon_n and_o of_o the_o tide_n the_o declaration_n of_o the_o sea-chart_n and_o other_o thing_n appertain_v hereunto_o chap._n i._n the_o definition_n of_o the_o sphere_n a_o sphere_n be_v a_o solid_a or_o massy_a body_n without_o hollowness_n and_o perfect_o round_a in_o the_o midst_n whereof_o there_o be_v a_o prick_n call_v the_o centre_n by_o which_o there_o pass_v a_o right_a line_n name_v the_o axtree_n and_o the_o point_n where_o this_o line_n end_v upon_o the_o superficies_n of_o the_o whole_a body_n be_v call_v pole_n because_o upon_o they_o the_o sphere_n be_v move_v chap._n ii_o that_o the_o whole_a world_n be_v a_o sphere_n and_o so_o it_o be_v evident_a that_o the_o whole_a frame_n of_o the_o world_n wherein_o we_o live_v be_v a_o sphere_n be_v as_o it_o be_v solid_a so_o that_o in_o the_o whole_a world_n there_o be_v no_o empty_a place_n also_o it_o be_v perfect_o round_a upon_o the_o upper_a superficies_n of_o the_o high_a heaven_n and_o it_o have_v in_o the_o very_a midst_n a_o certain_a point_n to_o wit_n the_o centre_n of_o the_o earth_n by_o which_o we_o do_v imagine_v a_o right_a line_n or_o axtree_n to_o pass_v from_o one_o pole_n to_o another_o upon_o which_o the_o world_n be_v move_v about_o from_o east_n to_o west_n chap._n iii_o of_o the_o division_n of_o the_o sphere_n the_o whole_a sphere_n of_o the_o world_n be_v divide_v into_o two_o part_n or_o region_n the_o elementary_a and_o celestial_a the_o elementary_a part_n or_o region_n have_v four_o part_n the_o first_o whereof_o be_v the_o earth_n which_o together_o with_o the_o element_n of_o water_n which_o be_v the_o second_o make_v one_o perfect_a globe_n and_o round_o about_o both_o these_o be_v two_o other_o element_n namely_o the_o air_n and_o above_o that_o the_o fire_n which_o fill_v the_o space_n between_o the_o air_n and_o the_o sphere_n of_o the_o moon_n of_o which_o element_n by_o virtue_n of_o the_o heat_n of_o the_o heaven_n be_v make_v and_o compound_v all_o corruptible_a thing_n in_o the_o world_n the_o celestial_a region_n consist_v of_o other_o ten_o part_n the_o first_o whereof_o be_v the_o sphere_n of_o the_o moon_n the_o second_o the_o sphere_n of_o mercury_n the_o three_o of_o venus_n the_o four_o be_v the_o sphere_n of_o the_o sun_n the_o five_o of_o mars_n the_o six_o of_o jupiter_n the_o seven_o of_o saturn_n the_o eight_o be_v the_o sphere_n of_o the_o fix_a star_n which_o be_v call_v the_o firmament_n the_o nine_o be_v the_o crystalline_a heaven_n and_o last_o the_o ten_o and_o high_a be_v the_o sphere_n call_v the_o primum_fw-la mobile_a that_o be_v the_o first_o or_o high_a movable_a heaven_n that_o which_o remain_v call_v the_o empyreal_a heaven_n because_o it_o have_v no_o motion_n come_v not_o to_o be_v consider_v on_o in_o the_o art_n of_o navigation_n a_o figure_n wherein_o may_v be_v see_v the_o composition_n of_o the_o whole_a sphere_n of_o the_o world_n chap._n iu._n of_o the_o motion_n of_o the_o heaven_n the_o number_n of_o the_o heaven_n be_v know_v by_o the_o motion_n observe_v in_o they_o which_o be_v ten_o distinct_a one_o from_o another_o for_o the_o moon_n move_v her_o proper_a and_o peculiar_a motion_n in_o 27_o day_n and_o 8_o hour_n which_o be_v one_o revolution_n mercury_n venus_n and_o the_o sun_n finish_v their_o motion_n in_o one_o year_n which_o contain_v 365_o day_n and_o almost_o a_o quarter_n of_o a_o day_n mars_n run_v his_o course_n in_o two_o year_n jupiter_n in_o twelve_o year_n saturn_n in_o thirty_o year_n the_o eight_o sphere_n according_a to_o the_o opinion_n of_o some_o in_o seven_o thousand_o year_n the_o nine_o in_o five_o and_o twenty_o thousand_o and_o eight_o hundred_o year_n and_o the_o ten_o in_o four_o and_o twenty_o hour_n almost_o which_o ten_o motion_n be_v reduce_v unto_o three_o principal_a the_o first_o be_v that_o of_o the_o first_o movable_a upon_o the_o two_o end_n of_o the_o axletree_n which_o be_v call_v the_o pole_n of_o the_o world_n from_o east_n to_o west_n turn_v about_o again_o unto_o the_o east_n in_o 24_o hour_n and_o this_o sphere_n by_o the_o force_n of_o his_o motion_n carry_v about_o with_o it_o all_o the_o other_o low_a sphere_n in_o the_o space_n of_o 24_o hour_n howbeit_o they_o move_v also_o the_o contrary_a way_n with_o a_o second_o motion_n which_o be_v from_o west_n to_o east_n upon_o two_o other_o pole_n distant_a from_o the_o first_o about_o three_o and_o twenty_o and_o a_o half_a such_o part_n whereof_o the_o whole_a compass_n of_o heaven_n contain_v three_o hundred_o and_o sixty_o and_o this_o second_o motion_n be_v accomplish_v in_o each_o of_o the_o low_a heaven_n in_o divers_a space_n of_o time_n as_o be_v before_o say_v the_o three_o motion_n be_v proper_a to_o the_o eight_o heaven_n wherein_o the_o fix_a star_n be_v place_v which_o motion_n be_v the_o cause_n that_o the_o distance_n of_o the_o pole_n of_o the_o first_o motion_n from_o they_o of_o the_o second_o motion_n do_v vary_v be_v sometime_o great_a and_o sometime_o less_o chap._n v._o of_o the_o figure_n of_o the_o heaven_n that_o the_o heaven_n be_v round_o it_o be_v prove_v because_o roundness_n be_v the_o most_o perfect_a figure_n of_o all_o other_o be_v whole_a and_o entire_a have_v no_o need_n of_o any_o joint_n be_v also_o of_o the_o great_a capacity_n of_o all_o figure_n that_o have_v the_o same_o compass_n and_o in_o that_o respect_n most_o fit_a to_o contain_v all_o other_o thing_n also_o the_o principal_a body_n of_o the_o world_n as_o the_o sun_n the_o moon_n and_o the_o star_n be_v of_o this_o figure_n and_o we_o see_v the_o same_o likewise_o in_o those_o thing_n which_o be_v bound_v by_o themselves_o as_o it_o be_v manifest_a in_o drop_n of_o water_n and_o all_o other_o liquid_a thing_n chap._n vi_o that_o the_o earth_n and_o water_n make_v one_o perfect_a globe_n there_o be_v nothing_o that_o show_v more_o clear_o that_o the_o earth_n and_o water_n make_v one_o round_a globe_n than_o the_o shadow_n which_o they_o make_v in_o the_o eclipse_n of_o the_o moon_n which_o shadow_n we_o always_o see_v to_o be_v a_o part_n of_o a_o circle_n for_o if_o the_o body_n which_o be_v the_o cause_n of_o the_o same_o shadow_n be_v threesquare_a or_o foursquare_a the_o shadow_n itself_o also_o will_v appear_v in_o the_o same_o fashion_n wherefore_o the_o shadow_n of_o these_o two_o body_n together_o be_v round_o it_o be_v manifest_a that_o they_o be_v round_o also_o chap._n vii_o that_o the_o earth_n be_v in_o the_o centre_n of_o the_o world_n one_o sign_n we_o have_v to_o be_v assure_v that_o the_o earth_n be_v in_o the_o midst_n and_o centre_n of_o the_o world_n namely_o that_o wheresoever_o we_o be_v upon_o the_o face_n of_o the_o earth_n we_o always_o see_v one_o half_a of_o the_o heaven_n the_o other_o half_o be_v hide_v out_o of_o our_o sight_n moreover_o the_o star_n in_o what_o part_n of_o the_o heaven_n soever_o they_o be_v either_o in_o the_o east_n west_n or_o south_n we_o see_v that_o they_o be_v always_o of_o the_o very_a same_o bigness_n whereby_o we_o may_v easy_o perceive_v that_o they_o be_v always_o equal_o distant_a from_o our_o sight_n and_o whereas_o they_o move_v round_o about_o it_o it_o follow_v that_o we_o be_v upon_o the_o centre_n of_o that_o body_n on_o who_o superficies_n the_o say_a star_n describe_v their_o circle_n chap._n viii_o the_o whole_a quantity_n of_o the_o earth_n and_o albeit_o the_o globe_n of_o the_o earth_n and_o water_n compare_v with_o the_o sphere_n of_o the_o star_n be_v as_o it_o be_v a_o centre_n or_o prick_n yet_o be_v consider_v by_o itself_o it_o contain_v in_o the_o great_a circle_n thereof_o 6300_o common_a spanish_a league_n which_o a_o man_n may_v easy_o perceive_v by_o take_v two_o such_o point_n or_o headland_n of_o the_o earth_n as_o be_v under_o the_o same_o meridian_n and_o which_o differ_v in_o distance_n one_o from_o another_o so_o much_o as_o one_o of_o those_o part_n be_v whereof_o the_o compass_n of_o the_o whole_a world_n contain_v 360_o and_o it_o be_v find_v both_o by_o navigation_n at_o sea_n and_o also_o by_o travel_n on_o land_n that_o the_o two_o foresay_a point_n be_v distant_a each_o from_o other_o 17_o league_n and_o a_o half_a of_o which_o league_n each_o one_o contain_v 4000_o pace_n every_o pace_n 5_o foot_n every_o foot_n 16_o finger_n and_o every_o finger_n 4_o grain_n of_o barley_n chap._n ix_o of_o the_o equinoctial_a circle_n be_v to_o treat_v of_o the_o circle_n of_o the_o sphere_n of_o the_o world_n the_o first_o which_o offer_v itself_o to_o be_v speak_v of_o be_v the_o equinoctial_a circle_n by_o mean_n whereof_o we_o do_v know_v in_o