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
equinoctial_a and_o these_o circle_n may_v be_v infinite_a between_o the_o equinoctial_a and_o the_o north_n and_o south_n pole_n and_o in_o the_o sea-chart_n some_o of_o they_o be_v represent_v by_o the_o line_n which_o be_v draw_v from_o east_n to_o west_n and_o two_o of_o these_o circle_n be_v the_o two_o tropic_n of_o cancer_n and_o capricorn_n which_o be_v the_o bound_n of_o the_o sun_n great_a declination_n likewise_o all_o those_o circle_n which_o the_o sun_n and_o the_o star_n in_o heaven_n do_v by_o the_o motion_n of_o the_o first_o or_o high_a movable_a heaven_n describe_v from_o east_n to_o west_n be_v parallel_n and_o serve_v in_o the_o sphere_n to_o show_v the_o latitude_n and_o when_o a_o ship_n sail_v in_o the_o same_o height_n of_o the_o pole_n than_o she_o sail_v in_o a_o parallel_n and_o run_v always_o east_n or_o west_n which_o manner_n of_o sail_v we_o use_v at_o all_o such_o time_n when_o we_o find_v our_o ship_n in_o the_o height_n of_o that_o land_n to_o which_o we_o be_v go_v chap._n xix_o of_o the_o degree_n every_o one_o of_o these_o circle_n be_v divide_v into_o 360_o equal_a part_n which_o they_o call_v degree_n and_o every_o degree_n be_v divide_v into_o other_o 60_o equal_a part_n which_o be_v call_v minute_n which_o degree_n and_o minute_n be_v the_o common_a measure_n that_o we_o use_v in_o navigation_n when_o we_o make_v any_o account_n in_o the_o heaven_n either_o in_o take_v the_o the_o height_n of_o the_o sun_n and_o star_n above_o the_o horizon_n or_o in_o measure_v the_o distance_n from_o our_o zenith_n to_o the_o equinoctial_a these_o degree_n be_v mark_v in_o a_o line_n draw_v from_o north_n to_o south_n in_o the_o most_o vacant_a part_n of_o the_o sea-chart_n this_o line_n in_o general_a sea-chart_n be_v divide_v into_o 90_o equal_a part_n which_o be_v count_v beginning_n at_o the_o equinoctial_a line_n from_o one_o to_o 90_o both_o northwards_o and_o southwards_o and_o in_o those_o chart_n which_o be_v not_o general_a this_o line_n have_v such_o division_n as_o it_o be_v capable_a of_o according_a to_o the_o largeness_n of_o the_o chart_n begin_v to_o make_v account_n from_o the_o equinoctial_a chap._n xx._n what_o be_v mean_v by_o longitude_n and_o latitude_n the_o longitude_n of_o any_o place_n be_v a_o part_n of_o the_o equinoctial_a or_o of_o some_o other_o parallel_n contain_v between_o two_o meridian_n whereof_o one_o pass_v by_o the_o canary_n island_n and_o the_o other_o by_o the_o place_n give_v but_o if_o neither_o of_o the_o say_v meridian_n pass_n by_o the_o foresay_a island_n it_o be_v call_v respective_a longitude_n and_o this_o respective_a longitude_n be_v call_v in_o the_o art_n of_o navigation_n the_o distance_n or_o length_n of_o the_o right_a line_n which_o be_v determine_v or_o bound_v by_o two_o other_o right_a line_n run_v north_n and_o south_n of_o which_o two_o the_o one_o pass_v by_o the_o port_n or_o haven_n from_o whence_o we_o set_v sail_n and_o the_o other_o by_o the_o place_n where_o our_o ship_n be_v and_o so_o shall_v the_o distance_n of_o the_o right_a line_n be_v the_o part_n of_o any_o right_a line_n whatsoever_o run_v east_n and_o west_n comprehend_v between_o the_o two_o foresay_a right_a line_n extend_v north_n and_o south_n the_o latitude_n of_o a_o place_n be_v a_o part_n of_o any_o meridian_n whatsoever_o contain_v between_o two_o parallel_n whereof_o one_o be_v the_o equinoctial_a and_o the_o other_o the_o parallel_n of_o the_o place_n give_v this_o latitude_n the_o mariner_n do_v call_v the_o distance_n from_o the_o line_n chart._n understand_v by_o the_o line_n the_o most_o principal_a of_o all_o other_o which_o be_v draw_v in_o the_o chart_n that_o be_v the_o equinoctial_a line_n they_o use_v also_o to_o call_v it_o the_o height_n which_o be_v as_o much_o to_o say_v as_o the_o height_n of_o the_o pole_n above_o the_o horizon_n and_o so_o the_o distance_n from_o the_o equinoctial_a shall_v be_v a_o part_n of_o any_o north_n and_o south_n line_n contain_v between_o the_o equinoctial_a and_o any_o line_n run_v from_o east_n to_o west_n which_o pass_v in_o the_o graduation_n of_o the_o chart_n by_o the_o same_o degree_n of_o latitude_n in_o which_o we_o find_v ourselves_o to_o be_v the_o second_o part_n of_o the_o art_n of_o navigation_n wherein_o be_v handle_v the_o practic_n part_n show_v the_o make_n and_o use_n of_o the_o principal_a instrument_n belong_v to_o this_o art_n chap._n 1._o the_o make_n of_o the_o astrolabe_n to_o know_v the_o latitude_n or_o distance_n from_o the_o equinoctial_a line_n there_o be_v require_v five_o thing_n whereof_o any_o one_o being_n want_v we_o can_v possible_o find_v out_o how_o far_o we_o be_v distant_a from_o the_o say_a line_n and_o these_o be_v the_o astrolabe_n or_o quadrant_n the_o height_n of_o the_o sun_n the_o shadow_n the_o declination_n the_o regiment_n or_o rule_n of_o the_o sun_n the_o astrolabe_n be_v to_o be_v make_v after_o this_o manner_n in_o the_o midst_n of_o a_o round_a plate_n or_o table_n of_o metal_n or_o wood_n be_v smooth_a and_o plain_a every_o where_o and_o about_o a_o finger_n thick_a you_o shall_v take_v the_o centre_n a_o wherein_o have_v place_v one_o foot_n of_o your_o compass_n you_o shall_v with_o the_o other_o draw_v as_o great_a a_o circle_n as_o convenient_o you_o can_v in_o the_o say_a table_n and_o within_o this_o circle_n must_v be_v draw_v two_o other_o circle_n the_o one_o distant_a from_o the_o other_o about_o the_o breadth_n of_o a_o grain_n of_o wheat_n and_o the_o three_o must_v be_v distant_a from_o the_o second_o twice_o so_o much_o as_o the_o second_o be_v from_o the_o first_o and_o your_o ruler_n be_v lay_v just_a to_o the_o centre_n a_o you_o shall_v draw_v the_o line_n bac_n which_o divide_v every_o one_o of_o the_o three_o circle_n into_o two_o equal_a part_n and_o put_v one_o point_n of_o your_o compass_n stand_v open_a according_a to_o the_o length_n of_o the_o line_n bc_n upon_o the_o point_n c_o where_o the_o great_a circle_n be_v divide_v by_o the_o line_n bc_n with_o the_o other_o point_n you_o shall_v draw_v above_o the_o point_n d_o a_o part_n of_o a_o circle_n and_o another_o under_o e._n and_o then_o put_v one_o foot_n of_o the_o compass_n thus_o open_v upon_o the_o point_n b_o you_o shall_v draw_v other_o two_o part_n of_o a_o circle_n which_o will_v cross_v the_o first_o in_o f_o and_o g._n and_o your_o ruler_n be_v lay_v to_o f_o and_o g_o you_o shall_v draw_v the_o line_n de_fw-fr which_o must_v pass_v by_o the_o centre_n a._n then_o let_v the_o quadrant_n db_fw-mi be_v divide_v into_o 3_o equal_a part_n and_o every_o one_o of_o those_o into_o three_o other_o part_n and_o each_o of_o those_o nine_o into_o two_o and_o every_o one_o of_o those_o 18_o into_o 5_o and_o so_o the_o say_a quadrant_n shall_v be_v divide_v into_o 90_o equal_a part_n or_o degree_n unto_o which_o degree_n shall_v be_v place_v the_o number_n belong_v to_o they_o from_o 5_o to_z 5_o between_o the_o second_o and_o the_o three_o circle_n beginning_z from_o b_o and_o end_v with_o 90_o at_o the_o point_n d._n then_o let_v there_o be_v make_v at_o the_o point_n d_o a_o little_a hole_n upon_o the_o line_n de_fw-fr through_o which_o may_v be_v put_v a_o little_a ring_n or_o some_o strong_a ribbon_n or_o string_n and_o you_o shall_v make_v a_o knot_n thereon_o whereby_o your_o finger_n may_v take_v hold_v and_o the_o astrolabe_n hang_v by_o that_o hole_n you_o shall_v put_v through_o a_o slender_a thread_n with_o a_o plummet_n of_o lead_n which_o may_v hang_v quite_o under_o the_o astrolabe_n which_o thread_n if_o while_o the_o astrolabe_n hang_v immovable_a it_o fall_v just_a upon_o the_o line_n de_fw-fr then_o be_v the_o astrolabe_n well_o rectify_v if_o not_o you_o must_v continue_v cut_v off_o some_o thing_n and_o lightning_n that_o side_n towards_o which_o the_o thread_n do_v fall_v until_o it_o hang_v even_o with_o the_o foresay_a line_n then_o must_v you_o draw_v upon_o a_o ruler_n of_o the_o same_o matter_n be_v about_o a_o finger_n and_o a_o half_a broad_a the_o right_a line_n he_o along_o through_o the_o very_a midst_n of_o the_o breadth_n thereof_o which_o ruler_n shall_v be_v make_v after_o the_o same_o fashion_n that_o here_o be_v set_v down_o cut_v away_o from_o one_o half_a of_o the_o length_n half_a of_o the_o breadth_n always_o save_v whole_a the_o line_n he_o and_o so_o likewise_o shall_v you_o cut_v off_o along_o the_o half_a of_o the_o length_n on_o the_o contrary_a part_n half_a of_o the_o breadth_n so_o that_o the_o line_n he_o may_v remain_v whole_a on_o that_o side_n also_o and_o near_o to_o the_o end_n of_o the_o say_a ruler_n you_o shall_v set_v two_o little_a square_a vane_n of_o the_o breadth_n
because_o they_o be_v equal_a this_o height_n of_o the_o pole_n be_v know_v by_o the_o help_n of_o four_o thing_n which_o be_v the_o ballâ—stilla_n or_o crosse-staffe_n the_o position_n of_o the_o north-star_n the_o height_n of_o the_o say_a star_n and_o certain_a rule_n chap._n xi_o the_o make_n of_o the_o crossstaff_n the_o mariner_n crosse-staff_n be_v that_o which_o by_o the_o astronomer_n be_v call_v radius_fw-la astronomicus_fw-la and_o the_o manner_n how_o to_o make_v it_o be_v as_o follow_v first_o upon_o a_o very_a plain_a and_o broad_a table_n you_o may_v draw_v a_o semicircle_n which_o from_o the_o centre_n to_o the_o circumference_n must_v contain_v at_o the_o least_o four_o hand_n breadth_n and_o have_v draw_v through_o the_o centre_n thereof_o the_o line_n abc_n divide_v the_o circumference_n into_o two_o equal_a part_n in_o the_o point_n e_o as_o likewise_o you_o must_v divide_v the_o quadrant_a aec_fw-la in_o the_o very_a midst_n by_o the_o point_n f._n then_o must_v you_o divide_v the_o arch_n of_o into_o 90_o equal_a part_n divide_v it_o first_o into_o three_o and_o every_o of_o these_o three_o into_o other_o three_o and_o every_o of_o those_o nine_o into_o two_o and_o each_o of_o those_o two_o into_o five_o which_o you_o must_v do_v with_o much_o preciseness_n and_o care_n then_o lay_v your_o ruler_n to_o the_o point_n b_o which_o be_v the_o centre_n through_o every_o one_o those_o 90_o division_n of_o the_o half_a quadrant_a you_o must_v draw_v 90_o line_n and_o keep_v this_o quadrant_a so_o divide_v it_o will_v serve_v you_o for_o a_o pattern_n to_o make_v we_o many_o crosse-stave_n as_o you_o think_v good_a of_o what_o bigness_n soever_o you_o will_n but_o to_o make_v the_o crosse-staff_n you_o must_v take_v a_o piece_n of_o wood_n of_o some_o three_o foot_n in_o length_n and_o a_o finger_n thick_a four_o square_a and_o very_o even_o and_o fit_v a_o transversary_n thereto_o which_o may_v with_o facility_n slide_v up_o and_o down_o upon_o the_o staff_n always_o right_o across_o take_v with_o your_o compass_n half_a the_o length_n of_o the_o transversary_n and_o place_v one_o foot_n of_o the_o compass_n upon_o the_o point_n b_o make_v with_o the_o other_o a_o mark_n in_o the_o line_n bc_n which_o may_v serve_v for_o the_o point_n g_o and_o draw_v through_o the_o point_n g_o the_o line_n give_v which_o may_v run_v equal_o distant_a from_o the_o line_n ebb_n final_o lay_v one_o end_n of_o the_o staff_n upon_o the_o point_n g_o let_v it_o lie_v all_o along_o just_a upon_o the_o line_n give_v and_o make_v your_o mark_n upon_o the_o edge_n of_o the_o staff_n by_o which_o you_o may_v draw_v 90_o line_n put_v the_o number_n of_o every_o line_n upon_o the_o say_a edge_n begin_n to_o place_n 90_o where_o the_o line_n be_v do_v cross_v the_o staff_n and_o from_o thence_o descend_v unto_o one_o or_o two_o which_o may_v be_v put_v down_o according_a to_o the_o length_n of_o the_o staff_n and_o the_o largeness_n of_o the_o transversary_n chap._n xii_o of_o the_o position_n of_o the_o north-star_n and_o the_o guard_n among_o the_o 48_o constellation_n which_o the_o astronomer_n place_n in_o the_o heaven_n the_o near_a unto_o the_o pole_n of_o the_o world_n be_v that_o which_o they_o call_v the_o lesser_a bear_n and_o the_o mariner_n bozina_fw-la or_o the_o horn_n in_o regard_n of_o the_o fashion_n thereof_o which_o constellation_n consist_v of_o 7_o star_n which_o be_v place_v after_o this_o manner_n and_o of_o these_o star_n the_o three_o great_a mark_v with_o the_o letter_n abc_n do_v serve_v especial_o for_o our_o purpose_n and_o so_o a_o be_v call_v the_o north-star_n b_o the_o the_o foremost_a guard_n c_z the_o other_z guard_z behind_z and_o they_o be_v so_o call_v because_o that_o by_o force_n of_o the_o motion_n of_o the_o first_o movable_a heaven_n the_o star_n b_o go_v always_o before_o and_o the_o star_n c_o behind_o every_o of_o these_o three_o star_n as_o well_o as_o all_o other_o in_o the_o heaven_n beside_o describe_v thâ—â—_n circle_n round_o about_o the_o pole_n with_o the_o motion_n of_o the_o first_o or_o high_a movable_a heaven_n 〈◊〉_d which_o motion_n sometime_o the_o 〈◊〉_d star_n ab_fw-la be_v just_a of_o 〈…〉_z above_o the_o horizon_n 〈…〉_z they_o be_v say_v to_o be_v east_n and_o west_n one_o from_o another_o sometime_o they_o be_v in_o a_o perpendicular_a line_n to_o the_o horizon_n according_a to_o our_o sight_n and_o then_o they_o be_v say_v to_o be_v north_n and_o south_n and_o sometime_o also_o the_o two_o guard_n bc_n be_v east_n and_o west_n one_o from_o another_o and_o then_o the_o former_a guard_n bear_v from_o the_o north-star_n north-east_n and_o south-west_n and_o when_o these_o two_o guard_n be_v in_o a_o perpendicular_a line_n one_o above_o another_o the_o former_a guard_n bear_v from_o the_o north_n star_n north-east_n and_o south-west_n insomuch_o that_o from_o these_o four_o position_n do_v arise_v eight_o rule_n for_o the_o eight_o rumb_n wherein_o the_o former_a guard_n may_v stand_v be_v consider_v in_o respect_n of_o the_o north_n star_n and_o so_o presuppose_v that_o the_o north_n star_n be_v distant_a from_o the_o pole_n three_o degree_n and_o a_o half_a according_a to_o the_o opinion_n of_o some_o mariner_n who_o love_v number_n that_o have_v not_o any_o fraction_n sometime_o the_o north_n star_n shall_v be_v as_o high_a as_o the_o pole_n itself_o sometime_o three_o degree_n and_o a_o half_a low_o or_o high_a than_o the_o pole_n and_o sometime_o three_o degree_n and_o sometime_o one_o and_o a_o half_a and_o sometime_o half_a a_o degree_n chap._n xiii_o of_o the_o height_n of_o the_o star_n take_v with_o the_o crosse-staffe_n to_o know_v how_o much_o the_o north_n star_n be_v elevate_v above_o the_o horizon_n you_o must_v take_v the_o height_n thereof_o only_o at_o such_o time_n when_o as_o in_o respect_n of_o the_o former_a guard_n it_o be_v in_o some_o one_o of_o these_o four_o rumb_n that_o be_v to_o say_v north_n and_o south_n east_n and_o west_n north-east_n and_o south-west_n and_o northwest_n and_o southeast_n wherefore_o see_n it_o place_v in_o any_o of_o the_o foresay_a rumb_n you_o shall_v put_v that_o end_n of_o the_o crosse-staffe_n which_o be_v next_o 90_o degree_n upon_o your_o cheekbone_n at_o the_o utter_a corner_n of_o your_o eye_n and_o hold_v it_o there_o steadfast_a you_o must_v move_v the_o transversarie_n till_o you_o see_v the_o horizon_n join_v with_o the_o low_a end_n thereof_o and_o the_o north_n star_n with_o the_o high_a end_n then_o mark_v the_o degree_n and_o part_n of_o the_o degree_n which_o the_o transuersarie_n show_v upon_o the_o staff_n for_o that_o be_v the_o height_n of_o the_o star_n chap._n xiiii_o the_o regiment_n or_o rule_n of_o the_o north_n star_n the_o first_o rule_n when_o the_o guard_n be_v in_o the_o east_n the_o former_a guard_n bear_v with_o the_o north_n star_n east_n and_o west_n and_o then_o the_o north_n star_n be_v a_o degree_n and_o half_a under_o the_o pole_n let_v we_o add_v this_o degree_n and_o half_a to_o the_o height_n which_o we_o observe_v with_o the_o crosse-staffe_n and_o the_o whole_a product_n show_v the_o number_n of_o degree_n which_o the_o pole_n be_v elevate_v above_o our_o horizon_n and_o so_o much_o be_v we_o distant_a from_o the_o equinoctial_a towards_o the_o north._n the_o second_o rule_n when_o the_o guard_n be_v in_o the_o north-east_n one_o guard_n bear_v from_o another_o east_n and_o west_n and_o the_o former_a guard_n stand_v from_o the_o north_n star_n north-east_n and_o south-west_n and_o then_o the_o north_n star_n be_v under_o the_o pole_n three_o degree_n and_o one_o half_a which_o be_v add_v to_o the_o height_n of_o the_o star_n will_v show_v you_o the_o height_n of_o the_o pole_n the_o three_o rule_n when_o the_o guard_n be_v at_o the_o high_a than_o the_o former_a guard_n bear_v from_o the_o north_n star_n north_n and_o south_n the_o north_n star_n be_v then_o three_o degree_n under_o the_o pole_n which_o three_o degree_n be_v add_v to_o the_o height_n of_o the_o star_n do_v show_v the_o true_a height_n of_o the_o pole_n the_o four_o rule_n when_o the_o guard_n be_v in_o the_o northwest_n they_o bear_v one_o from_o another_o north_n and_o south_n and_o the_o former_a guard_n lie_v from_o the_o north_n star_n north-east_n and_o south-west_n and_o then_o the_o north_n star_n be_v under_o the_o pole_n half_o a_o degree_n which_o half_a degree_n be_v add_v to_o the_o height_n of_o the_o star_n give_v you_o the_o height_n of_o the_o pole_n the_o five_o rule_n when_o the_o guard_n be_v in_o the_o east_n the_o former_a guard_n lie_v from_o the_o north_n star_n east_n and_o west_n and_o then_o the_o north_n star_n be_v a_o degree_n and_o a_o half_a above_o the_o pole_n which_o degree_n and_o
as_o you_o sail_v along_o how_o you_o may_v know_v the_o distance_n of_o your_o ship_n from_o they_o it_o be_v the_o custom_n of_o passenger_n when_o they_o first_o descry_v that_o land_n which_o they_o will_v arrive_v at_o to_o ask_v the_o pilot_n how_o far_o they_o be_v from_o land_n unto_o which_o question_n he_o may_v well_o answer_v if_o he_o know_v two_o cape_n or_o point_n or_o notable_a place_n thereupon_o which_o place_n the_o further_o they_o be_v asunder_o one_o from_o another_o the_o more_o certain_o may_v he_o answer_v to_o that_o question_n let_v he_o pitch_v therefore_o one_o foot_n of_o one_o pair_n of_o compass_n upon_o one_o of_o the_o two_o foresay_a cape_n and_o the_o other_o foot_n upon_o the_o rumb_n which_o in_o his_o compass_n point_v towards_o that_o cape_n and_o in_o like_a manner_n shall_v he_o do_v with_o another_o pair_n of_o compass_n place_v one_o foot_n thereof_o upon_o the_o other_o know_v cape_n and_o the_o other_o foot_n upon_o the_o rumb_n which_o stretch_v towards_o the_o say_v second_o cape_n and_o move_v the_o two_o compass_n so_o open_v by_o their_o two_o rumb_n off_o from_o the_o land_n the_o very_a same_o point_n where_o the_o two_o foot_n which_o come_v from_o the_o two_o cape_n do_v meet_v you_o may_v affirm_v to_o be_v the_o very_a point_n where_o your_o ship_n be_v and_o then_o take_v measure_n by_o the_o scale_n of_o league_n you_o may_v see_v what_o distance_n there_o be_v from_o the_o say_a point_n to_o either_o of_o the_o foresay_a cape_n or_o to_o any_o other_o place_n which_o you_o think_v good_a for_o it_o be_v a_o very_a easy_a matter_n if_o you_o know_v the_o point_n where_o your_o ship_n be_v chap._n xxxi_o of_o the_o account_n of_o the_o moon_n the_o account_n of_o the_o moon_n and_o of_o the_o tide_n be_v most_o necessary_a to_o be_v know_v of_o mariner_n to_o enter_v and_o depart_v from_o any_o havens_n rivers_n or_o bar_n and_o to_o pass_v by_o some_o bank_n and_o shoald_n a_o tide_n be_v a_o regular_a motion_n of_o the_o sea_n whereby_o at_o some_o time_n it_o seem_v more_o increase_v then_o at_o other_o and_o these_o tide_n be_v of_o two_o sort_n for_o some_o be_v such_o as_o we_o call_v springtide_n and_o neap-tide_n and_o the_o course_n of_o this_o motion_n happen_v from_o one_o half_a month_n to_o another_o half_a month_n other_o be_v those_o which_o we_o call_v more_o proper_o by_o the_o name_n of_o tide_n to_o wit_n a_o full_a sea_n and_o a_o low_a sea_n a_o swell_a and_o a_o fall_a sea_n and_o these_o be_v from_o the_o one_o half_a lunar_a day_n to_o the_o other_o half_a which_o tide_n as_o well_o the_o first_o as_o the_o second_o have_v their_o course_n and_o move_a from_o the_o motion_n of_o the_o moon_n which_o be_v of_o two_o sort_n one_o proper_a from_o west_n to_o east_n by_o mean_n whereof_o in_o thirty_o day_n almost_o it_o be_v in_o conjunction_n with_o the_o sun_n which_o we_o call_v the_o new_a moon_n and_o in_o opposition_n which_o we_o call_v the_o full_a of_o the_o moon_n and_o those_o we_o name_v the_o quarter_n when_o it_o shine_v half_a unto_o we_o the_o other_o motion_n be_v from_o east_n to_o west_n by_o the_o force_n of_o the_o primum_fw-la mobile_a or_o the_o first_o movable_a heaven_n whereby_o in_o one_o lunar_a day_n the_o moon_n pass_v over_o all_o the_o two_o and_o thirty_o point_n of_o the_o compass_n or_o to_o speak_v more_o plain_o it_o rise_v and_o set_v and_o return_v again_o to_o arise_v which_o two_o motion_n of_o the_o moon_n be_v know_v we_o may_v easy_o discern_v the_o manner_n of_o both_o kind_n of_o the_o foresay_a tide_n and_o because_o that_o to_o the_o knowledge_n hereof_o it_o be_v requisite_a that_o we_o know_v the_o middle_a motion_n of_o the_o moon_n i_o will_v first_o set_v down_o how_o it_o may_v be_v know_v and_o then_o how_o thereby_o we_o may_v discern_v the_o season_n of_o the_o tide_n for_o which_o purpose_n we_o be_v to_o note_v that_o the_o golden_a number_n as_o it_o be_v common_o call_v be_v a_o certain_a number_n of_o year_n wherein_o the_o moon_n have_v all_o the_o diversity_n of_o aspect_n with_o the_o sun_n that_o can_v happen_v between_o they_o which_o be_v do_v in_o every_o nineteen_o year_n almost_o as_o for_o example_n if_o in_o the_o year_n 1588._o there_o be_v a_o conjunction_n of_o the_o sun_n and_o moon_n upon_o the_o 26_o of_o april_n or_o a_o opposition_n upon_o the_o 11_o of_o april_n i_o say_v that_o there_o shall_v not_o happen_v a_o conjunction_n of_o the_o sun_n and_o moon_n upon_o the_o 26_o of_o april_n nor_o a_o opposition_n upon_o the_o 11_o of_o april_n till_o 19_o year_n be_v expire_v which_o will_v be_v in_o the_o year_n of_o our_o lord_n 1607._o and_o so_o be_v we_o to_o conceive_v likewise_o of_o the_o quarter_n and_o other_o aspect_n the_o second_o thing_n to_o be_v note_v be_v that_o from_o this_o golden_a number_n spring_v another_o which_o be_v call_v the_o concurrent_a be_v the_o day_n of_o the_o moon_n at_o the_o begin_n of_o the_o year_n which_o year_n according_a to_o that_o account_n begin_v from_o the_o last_o of_o february_n about_o twelve_o a_o clock_n at_o night_n which_o be_v the_o begin_n of_o march._n and_o the_o day_n of_o the_o moon_n which_o then_o remain_v beside_o all_o the_o whole_a lunare_fw-la month_n of_o the_o year_n past_a be_v call_v by_o calculator_n the_o concurrent_n because_o they_o serve_v to_o know_v the_o account_n of_o the_o moon_n throughout_o the_o whole_a year_n that_o be_v to_o come_v and_o they_o concur_v with_o other_o number_n to_o know_v the_o age_n of_o the_o moon_n now_o by_o these_o two_o number_n to_o be_v able_a to_o discern_v the_o day_n of_o the_o moon_n or_o the_o distance_n thereof_o from_o the_o sun_n you_o be_v to_o note_v the_o rule_n follow_v the_o first_o rule_n of_o the_o golden_a number_n from_o the_o present_a year_n of_o our_o lord_n you_o must_v deduct_v 1500._o and_o out_o of_o the_o remainder_n take_v one_o in_o every_o twenty_o we_o shall_v find_v the_o 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conjunction_n the_o number_n of_o the_o concurent_fw-fr being_n know_v you_o must_v add_v it_o unto_o the_o number_n of_o month_n which_o have_v pass_v from_o the_o begin_n of_o march_n last_o pass_v till_o the_o end_n of_o that_o month_n wherein_o you_o will_v know_v the_o same_o and_o if_o the_o whole_a product_n amount_v not_o to_o thirty_o mark_v how_o much_o it_o want_v of_o thirty_o and_o if_o it_o exceed_v thirty_o see_v what_o it_o lack_v of_o sixty_o and_o that_o which_o it_o want_v either_o of_o thirty_o or_o sixty_o be_v the_o number_n of_o the_o day_n of_o such_o a_o month_n wherein_o the_o conjunction_n happen_v the_o four_o rule_n of_o the_o full_a and_o quarter_n of_o the_o moon_n if_o the_o day_n of_o the_o conjunction_n be_v before_o the_o 15_o day_n of_o the_o month_n add_v 15_o unto_o the_o day_n of_o the_o conjunction_n and_o you_o shall_v find_v the_o day_n of_o the_o full_a moon_n and_o if_o the_o conjunction_n happen_v after_o the_o 15_o day_n take_v away_o 15_o from_o the_o number_n of_o the_o day_n of_o the_o conjunction_n and_o you_o shall_v have_v the_o full_a moon_n of_o that_o month_n the_o first_o quarter_n be_v seven_o day_n after_o the_o conjunction_n and_o the_o last_o quarter_n seven_o day_n after_o the_o full_a moon_n the_o five_o rule_n of_o the_o springtide_n and_o neap-tide_n upon_o the_o day_n of_o the_o conjunction_n and_o of_o the_o full_a moon_n be_v the_o springtide_n and_o upon_o the_o two_o quarter_n day_n be_v the_o neap-tide_n and_o so_o much_o the_o more_o do_v the_o water_n increase_v as_o the_o conjunction_n or_o full_a moon_n be_v near_o and_o so_o much_o the_o more_o they_o decrease_v also_o the_o near_a they_o come_v unto_o
the_o quarter_n a_o example_n whereby_o the_o foresay_a rule_n be_v make_v more_o plain_a suppose_v a_o fleet_n of_o ship_n lie_v within_o the_o heaven_n of_o san_n lucar_n de_fw-fr barrameda_fw-la expect_v a_o fit_a time_n to_o pass_v over_o the_o bar_n towards_o the_o indies_n it_o be_v evident_a that_o if_o the_o ship_n be_v great_a they_o have_v need_n of_o much_o water_n to_o pass_v the_o bank_n or_o the_o bar_n which_o quantity_n of_o water_n be_v only_o in_o the_o springtide_n and_o because_o they_o be_v twice_o in_o one_o month_n namely_o in_o the_o conjunction_n and_o in_o the_o full_a of_o the_o moon_n i_o desire_v to_o know_v when_o the_o springtide_n and_o neap-tide_n of_o the_o month_n of_o june_n in_o the_o year_n 1588._o be_v to_o be_v expect_v in_o which_o month_n i_o presuppose_v the_o fleet_n be_v to_o depart_v first_o therefore_o i_o cast_v away_o 1500_o and_o cut_v of_o the_o 88_o remain_v i_o take_v from_o each_o 20._o one_o which_o make_v four_o in_o all_o which_o be_v add_v to_o the_o 8_o that_o surmount_v 80._o they_o make_v the_o golden_a number_n to_o be_v 12_o according_a to_o the_o first_o rule_n i_o divide_v these_o twelve_o by_o three_o and_o the_o quotient_n be_v four_o and_o nothing_o remain_v and_o because_o there_o be_v no_o remainder_n i_o will_v take_v two_o more_o of_o the_o concurrent_a thâ—n_n of_o the_o golden_a number_n and_o there_o shall_v be_v two_o of_o the_o concurrent_a cast_v away_o thirty_o by_o the_o second_o rule_n add_v these_o two_o to_o the_o four_o month_n which_o be_v from_o the_o begin_n of_o march_n pass_v till_o this_o present_a month_n of_o june_n england_n i_o find_v that_o they_o make_v six_o and_o because_o six_o want_n twenty_o four_o to_o make_v up_o thirty_o i_o say_v that_o in_o the_o year_n 1588._o we_o have_v a_o conjunction_n of_o the_o moon_n upon_o the_o 24_o of_o june_n by_o the_o three_o rule_n and_o add_v seven_o unto_o the_o day_n of_o this_o conjunction_n you_o have_v the_o first_o day_n of_o july_n which_o be_v the_o day_n of_o the_o first_o quarter_n and_o take_v away_o 15_o from_o 24_o be_v the_o number_n of_o the_o conjunction_n day_n there_o remain_v nine_o and_o upon_o that_o day_n of_o the_o month_n you_o have_v the_o full_a moon_n and_o add_v other_o seven_o unto_o the_o nine_o day_n of_o the_o full_a moon_n you_o have_v the_o last_o quarter_n upon_o the_o sixteen_o of_o june_n by_o the_o four_o rule_n i_o say_v therefore_o that_o the_o springtide_n or_o great_a water_n of_o the_o month_n of_o june_n be_v in_o that_o year_n upon_o the_o nine_o and_o four_o and_o twenty_o day_n of_o june_n and_o the_o neap-tide_n or_o less_o water_n be_v upon_o the_o sixteenth-day_n of_o june_n and_o the_o first_o of_o july_n by_o the_o five_o rule_n chap._n xxxii_o of_o the_o daily_a tide_n now_o that_o we_o know_v the_o rule_n of_o the_o springtide_n and_o neap-tide_n let_v we_o say_v somewhat_o of_o the_o tide_n that_o happen_v every_o day_n which_o depend_v upon_o another_o swift_a motion_n of_o the_o moon_n whereby_o turn_v round_o about_o the_o world_n from_o east_n to_o west_n it_o pass_v every_o day_n by_o the_o 32_o point_n of_o the_o compass_n and_o this_o daily_a motion_n of_o the_o sea_n fall_v not_o every_o day_n at_o the_o same_o hour_n because_o the_o moon_n do_v not_o always_o keep_v one_o and_o the_o same_o distance_n from_o the_o sun_n for_o the_o moon_n move_v almost_o thirteen_o degree_n of_o her_o proper_a motion_n in_o one_o natural_a day_n whereas_o the_o sun_n move_v scarce_o one_o and_o so_o one_o be_v take_v from_o thirteen_o there_o remain_v 12._o and_o because_o the_o sun_n do_v give_v and_o mark_v out_o unto_o we_o hour_n and_o the_o moon_n tide_n it_o come_v to_o pass_v that_o a_o hour_n be_v that_o space_n of_o time_n wherein_o fifteen_o degree_n of_o the_o equinoctial_a pass_n by_o every_o point_n of_o the_o compass_n the_o part_n by_o which_o the_o moon_n be_v distant_a from_o the_o sun_n shall_v be_v twelve_o degree_n which_o twelve_o be_v â…˜_n of_o fifteen_o degree_n contain_v in_o each_o hour_n insomuch_o that_o the_o moon_n by_o her_o middle_a motion_n be_v every_o day_n distant_a from_o the_o sun_n about_o twelve_o degree_n which_o be_v reduce_v into_o time_n do_v make_v â…˜_n part_n of_o a_o hour_n whereby_o the_o moon_n be_v every_o day_n slow_a than_o the_o sun_n in_o come_v to_o each_o point_n of_o the_o heaven_n by_o the_o motion_n from_o east_n to_o west_n in_o regard_n of_o that_o which_o she_o have_v borrow_v for_o she_o own_o proper_a motion_n from_o west_n to_o east_n whereof_o it_o come_v to_o pass_v that_o so_o many_o day_n as_o the_o moon_n be_v old_a so_o many_o time_n â…˜_n part_n of_o a_o hour_n it_o be_v slow_a than_o the_o sun_n in_o pass_v by_o each_o rumb_n until_o the_o day_n of_o their_o conjunction_n when_o as_o they_o pass_v both_o by_o the_o same_o rumb_n in_o one_o and_o the_o same_o hour_n and_o so_o according_o because_o we_o be_v to_o set_v down_o the_o certain_a hour_n of_o every_o day_n wherein_o the_o tide_n happen_v we_o must_v diligent_o observe_v the_o rule_n follow_v the_o first_o rule_n in_o divers_a part_n of_o the_o sea_n coast_n the_o moon_n make_v a_o full_a sea_n every_o day_n be_v in_o divers_a rumb_n according_a to_o the_o disposition_n of_o the_o land_n but_o upon_o all_o the_o coast_n of_o spain_n in_o the_o ocean_n it_o be_v full_a sea_n when_o the_o moon_n be_v in_o the_o north-east_n and_o south-west_n the_o second_o rule_n upon_o the_o day_n of_o the_o conjunction_n and_o full_a moon_n you_o have_v a_o full_a sea_n at_o three_o a_o clock_n in_o the_o morning_n and_o at_o three_o in_o the_o after_o noon_n for_o at_o those_o hour_n the_o moon_n go_v with_o the_o sun_n at_o the_o north-east_n and_o at_o the_o south-west_n but_o upon_o other_o day_n of_o the_o moon_n the_o full_a sea_n fall_v out_o at_o the_o same_o hour_n when_o the_o moon_n come_v to_o those_o two_o point_n which_o be_v know_v by_o count_v the_o age_n of_o the_o moon_n the_o three_o rule_n that_o you_o may_v know_v at_o all_o time_n how_o many_o day_n old_a the_o moon_n be_v you_o must_v add_v three_o number_n together_o to_o wit_n the_o concurrent_a and_o the_o month_n from_o the_o begin_n of_o march_n to_o the_o month_n present_a and_o the_o day_n of_o the_o month_n wherein_o you_o will_v know_v this_o and_o if_o the_o whole_a product_n exceed_v not_o thirty_o it_o contain_v just_a the_o day_n of_o the_o moon_n but_o if_o it_o do_v exceed_v thirty_o the_o surplusage_n show_v the_o day_n of_o the_o moon_n age_n the_o four_o rule_n multiply_v the_o day_n of_o the_o moon_n age_n by_o four_o and_o divide_v the_o product_n by_o five_o and_o the_o remainder_n after_o division_n contain_v the_o hour_n whereby_o the_o moon_n come_v more_o slow_o than_o the_o sun_n to_o the_o north-east_n or_o south-west_n or_o to_o that_o rumb_n wherein_o it_o make_v a_o full_a sea_n which_o hour_n shall_v be_v add_v to_o the_o three_o hour_n of_o the_o morning_n and_o then_o you_o have_v the_o hour_n of_o the_o first_o tide_n or_o of_o the_o full_a and_o swell_a sea_n and_o six_o hour_n and_o almost_o a_o quarter_n after_o come_v the_o first_o ebb_n or_o low_a water_n and_o 12_o hour_n and_o â…•_n after_o the_o first_o full_a sea_n come_v the_o second_o tide_n and_o other_o six_o hour_n and_o â…•_n after_o the_o second_o tide_n come_v the_o second_o ebb_n the_o five_o rule_n when_o the_o day_n of_o the_o moon_n age_n be_v less_o than_o fifteen_o we_o may_v make_v by_o they_o our_o account_n for_o the_o tide_n but_o if_o they_o exceed_v fifteen_o we_o must_v make_v our_o account_n by_o the_o surplusage_n a_o example_n of_o the_o say_a rule_n upon_o the_o 29_o of_o july_n 1588._o i_o desire_v to_o know_v the_o hour_n of_o the_o full_a sea_n and_o of_o the_o ebb_n to_o make_v choice_n of_o that_o which_o may_v seem_v most_o expedient_a for_o my_o voyage_n by_o the_o forme_a example_n i_o find_v that_o the_o golden_a number_n of_o this_o year_n be_v 12_o and_o the_o concurrent_a 2_o according_a to_o the_o correction_n of_o the_o year_n by_o pope_n gregory_n the_o 13._o then_o i_o add_v this_o number_n of_o 2_o to_o the_o number_n of_o 5_o month_n which_o have_v pass_v from_o the_o begin_n of_o march_n and_o the_o 29_o day_n of_o the_o month_n of_o july_n all_o which_o 3_o number_n make_v 36_o then_o i_o cast_v away_o 30_o and_o there_o remain_v six_o day_n for_o the_o age_n of_o the_o moon_n and_o because_o they_o exceed_v not_o fifteen_o i_o multiply_v they_o by_o â…˜_n of_o a_o hour_n according_a to_o the_o four_o rule_n and_o they_o may_v make_v 24_o
the_o rock_n near_o lisbon_n 10_o 0_o n_o 38_o 55_o 24_o 30_o in_o the_o westermost_a part_n of_o ireland_n 11_o 0_o n_o 52_o 8_o 24_o 12_o in_o the_o west_n part_n of_o england_n 12_o 40_o n_o 50_o 21_o 28_o 0_o decrease_a about_o one_o mile_n eastward_o from_o plymouth_n 13_o 24_o n_o â—0_n 18_o 30_o 0_o by_o tin_n mouth_n in_o the_o sea_n 12_o 40_o n_o 55_o 0_o 33_o 0_o at_o london_n in_o england_n 11_o 30_o n_o 51_o 24_o 34_o 6_o in_o the_o foreland_n of_o england_n 11_o 0_o n_o 51_o 8_o 35_o 40_o in_o amsterdam_n 9_o 30_o n_o 52_o 20_o 39_o 30_o  _fw-fr  _fw-fr  _fw-fr northwesting_n  _fw-fr  _fw-fr  _fw-fr  _fw-fr the_o northwesting_a or_o the_o west_n variation_n of_o the_o second_o part_n or_o space_n towards_o the_o north_n increase_v at_o helmshade_n to_o the_o westward_a from_o the_o north_n cape_n of_o finmarke_n 0_o 0_o  _fw-fr  _fw-fr 60_o 0_o at_o the_o north_n cape_n of_o finmarke_n 0_o 55_o n_o 71_o 25_o 61_o 30_o at_o norquinda_n 2_o 0_o n_o 71_o 10_o 63_o 30_o at_o s._n michael_n or_o archangel_n in_o russia_n 12_o 30_o n_o 64_o 54_o 83_o 30_o in_o the_o south_n straight_o of_o vaigatz_n 24_o 30_o n_o 69_o 30_o 103_o 0_o at_o langeness_n in_o nova_n zembla_n 25_o 0_o n_o 73_o 20_o 100_o 30_o decrease_a in_o william_n island_n in_o nova_n zembla_n 33_o 0_o n_o 75_o 35_o 110_o 0_o at_o yshouck_n in_o nova_n zembla_n 27_o 0_o n_o 77_o 12_o 120_o 30_o at_o winter-house_n in_o nova_n zembla_n 26_o 0_o n_o 76_o 0_o 120_o 30_o the_o northea_n of_o the_o first_o part_n or_o space_n towards_o the_o south_n increase_v 105_o spanish_a league_n westward_n from_o cape_n s_o augustine_n in_o brasile_n 0_o 0_o saint_n  _fw-fr 0_o 0_o at_o cape_n s._n augustine_n in_o brasile_n 3_o 10_o saint_n 8_o 30_o 6_o 0_o north_n and_o south_n with_o cape_n das_fw-mi almas_n in_o guinea_n 12_o 15_o saint_n 0_o 0_o 29_o 0_o towards_o the_o northwest_o northerly_a from_o the_o land_n of_o tristan_n da_fw-mi cuneha_n 19_o 0_o saint_n 31_o 30_o 30_o 0_o decrease_v towards_o the_o northwest_o westerly_a from_o the_o same_o land_n 15_o 0_o saint_n 31_o 30_o 36_o 0_o north_n and_o south_n with_o the_o cape_n of_o good_a hope_n 2_o 30_o saint_n 35_o 30_o 57_o 0_o  _fw-fr  _fw-fr  _fw-fr northwesting_n  _fw-fr  _fw-fr  _fw-fr  _fw-fr the_o northwesting_a of_o the_o second_o part_n or_o space_n towards_o the_o south_n except_o go_v cochin_n &_o cantan_n increase_v 17_o german_a mile_n from_o cape_n das_fw-la aguillas_fw-la eastward_n 0_o 0_o saint_n  _fw-fr 60_o 0_o 5_o mile_n in_o the_o sea_n from_o terra_n de_fw-fr natal_n 4_o 30_o saint_n 33_o 0_o 66_o 0_o at_o the_o shoald_n of_o indie_n 11_o 0_o saint_n 22_o 0_o 79_o 30_o in_o mâ—sambique_n 11_o 0_o saint_n 14_o 50_o 81_o 40_o in_o the_o bay_n of_o s._n augustine_n in_o madaâ—gascar_n 13_o 0_o saint_n 23_o 30_o 83_o 0_o southwards_o from_o cape_n saint_n roman_a 16_o 0_o saint_n 28_o 0_o 86_o 20_o in_o anthony_n gills_n bay_n in_o madagascar_n 15_o 0_o saint_n 16_o 20_o 91_o 0_o decrease_a 34_o german_a mile_n southeast_n from_o brandaon_n 22_o 0_o saint_n 19_o 20_o 110_o 0_o in_o goa_n a_o famous_a mart_n town_n in_o indie_n 15_o 10_o n_o 25_o 30_o 120_o 0_o in_o cochin_n 15_o 0_o n_o 9_o 45_o 120_o 0_o 25_o german_a mile_n west_n a_o little_a northerly_a from_o the_o south-west_n corner_n of_o sumatra_n 6_o 0_o saint_n 5_o 28_o 147_o 0_o in_o bantam_n a_o mart_n town_n of_o java_n 4_o 45_o saint_n 6_o 0_o 150_o 0_o in_o the_o island_n lubocqua_n 2_o 25_o saint_n 6_o 10_o 155_o 0_o in_o the_o south-west_n corner_n from_o the_o i_o will_v of_o balij_fw-la 1_o 30_o saint_n 8_o 40_o 157_o 0_o in_o the_o mouth_n of_o the_o river_n cantan_n in_o china_n 0_o 0_o n_o 23_o 0_o 160_o 0_o in_o buâ—â—aâ—_n 46_o dutch_a mile_n eastward_n from_o the_o east_n part_n of_o java_n 0_o 0_o saint_n  _fw-fr 160_o 0_o a_o declaration_n of_o the_o form_n â—r_o table_n or_o view_n of_o variation_n before_o we_o come_v to_o the_o declaration_n of_o this_o table_n this_o first_o of_o all_o we_o will_v not_o have_v unknown_a namely_o that_o if_o perchance_o hereafter_o by_o more_o diligent_a and_o more_o exact_a experience_n any_o other_o variation_n longitude_n or_o latitude_n of_o place_n can_v be_v find_v then_o that_o which_o be_v set_v down_o in_o this_o table_n so_o as_o it_o shall_v be_v needful_a to_o change_v the_o difinition_n and_o exposition_n of_o some_o thing_n and_o word_n here_o set_v down_o yet_o we_o ought_v not_o therefore_o to_o be_v scare_v from_o this_o purpose_n but_o much_o rather_o ought_v we_o to_o strive_v with_o all_o our_o strength_n to_o attain_v thereto_o that_o by_o little_a and_o little_o we_o may_v come_v to_o a_o more_o certain_a knowledge_n of_o thing_n build_v upon_o these_o as_o upon_o foundation_n we_o therefore_o follow_v this_o opinion_n will_v prosecute_v that_o as_o true_a which_o at_o this_o time_n be_v most_o like_a to_o be_v true_a that_o if_o other_o also_o do_v the_o same_o when_o occasion_n be_v give_v we_o may_v always_o come_v near_o to_o that_o which_o be_v most_o true_a in_o the_o nature_n of_o thing_n which_o thing_n be_v omit_v that_o we_o may_v come_v to_o the_o declaration_n of_o the_o former_a table_n first_o of_o all_o we_o say_v that_o the_o first_o of_o the_o three_o column_n which_o thou_o see_v in_o the_o table_n show_v the_o variation_n of_o the_o place_n the_o second_o the_o latitude_n to_o which_o the_o three_o be_v adjoin_v contain_v the_o longitude_n as_o we_o can_v by_o conjecture_n attain_v unto_o they_o that_o the_o place_n may_v so_o much_o the_o more_o easy_o be_v find_v in_o the_o globe_n and_o the_o manner_n of_o the_o variation_n may_v more_o plain_o be_v show_v in_o that_o which_o follow_v hereafter_o the_o mark_n of_o the_o letter_n n_o in_o the_o second_o column_n signify_v north_n latitude_n and_o s_o south_n then_o because_o in_o they_o mention_n be_v make_v of_o the_o variation_n of_o the_o northea_n or_o the_o northwe_n increase_a or_o decrease_v all_o which_o as_o proper_a word_n of_o art_n have_v need_n of_o there_o several_a definiton_n first_o of_o all_o we_o must_v know_v that_o the_o magnetical_a needle_n in_o one_o and_o the_o same_o place_n do_v always_o show_v the_o same_o part_n of_o heaven_n but_o not_o the_o same_o part_n in_o all_o place_n for_o in_o some_o place_n it_o point_v due_a north_n in_o other_o place_n it_o decline_v more_o or_o less_o to_o the_o east_n or_o west_n therefore_o in_o manner_n of_o a_o definition_n we_o will_v say_v thus_o the_o first_o definition_n the_o declination_n of_o the_o magnetical_a needle_n from_o the_o north_n towards_o the_o east_n be_v call_v the_o northea_n towards_o the_o west_n northwe_v and_o with_o a_o general_a name_n it_o be_v call_v the_o variation_n but_o the_o variation_n and_o the_o north_n point_v of_o the_o needle_n that_o be_v the_o point_v of_o the_o needle_n due_a north_n may_v by_o a_o general_a name_n be_v call_v the_o needle_n point_v or_o point_v of_o the_o needle_n as_o concern_v those_o word_n 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