right_a side_n 41_o 38_o 2_o 56_o 2_o the_o goat_n or_o wagoner_n leave_v shoulder_n 44_o 30_o 4_o 49_o 1_o the_o wagoner_n right_a shoulder_n 45_o 11_o 5_o 30_o 2_o the_o first_o in_o the_o great_a bear_v forefoot_n 40_o 30_o 8_o 24_o 3_o the_o second_o in_o the_o same_o foot_n 41_o 28_o 8_o 32_o 3_o in_o her_o former_a left_a knee_n 36_o 37_o 8_o 58_o 3_o the_o great_a bear_v side_n 31_o 26_o 10_o 58_o 2_o the_o great_a bear_n back_o 26_o 05_o 10_o 40_o 2_o the_o end_n of_o the_o dragon_n tail_n 18_o 26_o 11_o 08_o 3_o the_o great_a bear_v thigh_n 34_o 03_o 11_o 32_o 2_o the_o great_a bear_v rump_n 30_o 41_o 11_o 54_o 2_o the_o next_o to_o the_o end_n of_o the_o dragon_n tail_n 17_o 57_o 12_o 14_o 3_o the_o first_o in_o the_o great_a bear_v tail_n next_o her_o rump_n 31_o 49_o 12_o 32_o 2_o the_o middlemost_a in_o her_o tail_n 32_o 55_o 13_o 06_o 2_o in_o the_o end_n of_o her_o tail_n 38_o 37_o 13_o 32_o 2_o the_o next_o before_o the_o turn_n of_o the_o dragon_n tail_n 23_o 40_o 13_o 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33_o 3_o 27_o 5_o 31_o 6_o 19_o 52_o 21_o 58_o 23_o 44_o 1_o 36_o 3_o 30_o 5_o 36_o 7_o 19_o 56_o 22_o 02_o 23_o 47_o 1_o 40_o 3_o 34_o 5_o 40_o 8_o 20_o 00_o 22_o 06_o 23_o 51_o 1_o 43_o 3_o 38_o 5_o 45_o 9_o 20_o 04_o 22_o 09_o 23_o 55_o 1_o 47_o 3_o 42_o 5_o 49_o 10_o 20_o 08_o 22_o 14_o 23_o 58_o 1_o 51_o 3_o 46_o 5_o 53_o 11_o 20_o 13_o 22_o 18_o 0_o 02_o 1_o 55_o 3_o 50_o 5_o 57_o 12_o 20_o 17_o
excuse_v for_o find_v a_o fault_n herein_o and_o not_o amend_v it_o at_o this_o time_n and_o that_o so_o much_o the_o rather_o because_o that_o according_a to_o promise_v make_v in_o the_o first_o edition_n of_o this_o book_n i_o will_v now_o show_v the_o mean_n how_o by_o observation_n of_o the_o polestar_n and_o guard_n to_o find_v present_o the_o height_n of_o the_o pole_n not_o only_a when_o the_o fore-guard_n be_v in_o some_o one_o of_o those_o eight_o principal_a position_n beforementioned_a as_o the_o manner_n have_v be_v hitherto_o but_o in_o any_o other_o position_n also_o and_o at_o any_o time_n of_o the_o night_n when_o the_o polestar_n and_o guard_n may_v be_v see_v and_o that_o without_o any_o allowance_n or_o abatement_n give_v or_o take_v by_o addition_n or_o subtraction_n of_o any_o equation_n in_o regard_n of_o the_o pole-star_n be_v high_o or_o low_a than_o the_o pole_n all_o which_o beside_o divers_a other_o pleasant_a and_o profitable_a conclusion_n may_v easy_o 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degree_n and_o minute_n may_v the_o easy_o be_v reckon_v from_o either_o end_n of_o the_o arch_n as_o need_n shall_v require_v chap._n xxxvi_o of_o the_o nocturnal_a or_o night-dial_n the_o nocturnal_a contain_v three_o circle_n that_o be_v the_o hour_n circle_n the_o day_n circle_n and_o the_o polestar_n circle_n the_o big_a of_o these_o circle_n which_o be_v to_o be_v fasten_v to_o the_o end_n of_o the_o arch_n of_o the_o quadrant_n i_o call_v the_o hour-circle_n and_o it_o be_v divide_v into_o 24_o hour_n and_o half_a hour_n with_o figure_n set_v to_o every_o hour_n for_o the_o easy_a reckon_n of_o they_o next_o within_o this_o be_v the_o day-circle_n or_o circle_n of_o day_n because_o it_o contain_v the_o day_n of_o all_o the_o month_n of_o the_o year_n which_o day_n be_v signify_v by_o the_o small_a division_n round_o about_o at_o the_o circumference_n of_o this_o circle_n every_o five_o day_n have_v his_o stroke_n draw_v a_o little_a long_o than_o the_o rest_n that_o so_o any_o 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the_o use_n of_o the_o sea-quadrant_n and_o that_o first_o in_o observe_v the_o height_n of_o the_o sun_n look_v only_o by_o the_o sight_n at_o the_o centre_n to_o the_o horizon_n at_o sea_n turn_v the_o centre_n of_o the_o quadrant_n towards_o the_o sun_n so_o as_o the_o shadow_n of_o the_o vane_n or_o sight_n place_v at_o the_o centre_n may_v fall_v upon_o the_o hollow_a side_n of_o the_o arch_n of_o the_o quadrant_n then_o look_v through_o the_o little_a sight_n fasten_v in_o the_o end_n of_o the_o arch_n of_o the_o quadrant_n lay_v the_o upper_a edge_n of_o the_o sight_n place_v at_o the_o centre_n even_o with_o the_o horizon_n and_o at_o the_o same_o instant_n let_v one_o that_o stand_v by_o mark_v deligent_o upon_o what_o degree_n and_o minute_n of_o the_o quadrant_n the_o edge_n of_o the_o shadow_n
after_o it_o be_v touch_v with_o the_o loadstone_n by_o mean_n whereof_o it_o seem_v something_o probable_a that_o seaman_n may_v have_v some_o help_n to_o know_v their_o height_n or_o latitude_n in_o dark_a and_o cloudy_a weather_n when_o neither_o sun_n nor_o star_n for_o many_o day_n appear_v to_o be_v observe_v i_o think_v it_o shall_v not_o be_v impertinent_a to_o this_o place_n to_o set_v down_o the_o theoric_n that_o have_v be_v devise_v of_o this_o magnetical_a inclination_n together_o with_o a_o demonstration_n for_o the_o make_n of_o a_o table_n thereof_o to_o every_o degree_n of_o latitude_n according_a to_o that_o theoric_n to_o the_o end_n that_o such_o of_o our_o seaman_n as_o mean_v to_o be_v diligent_a observer_n hereof_o may_v make_v heedful_a trial_n of_o that_o incline_a property_n and_o compare_v the_o same_o with_o this_o table_n in_o all_o part_n of_o the_o world_n where_o they_o shall_v travel_v especial_o in_o those_o long_a voyage_n to_o the_o east_n and_o west_n indies_n and_o in_o their_o north-east_n or_o northwest_o discovery_n the_o three_o part_n may_v be_v call_v geometrical_a entreat_v of_o the_o crosse-staffe_n and_o show_v how_o such_o error_n may_v be_v avoid_v as_o have_v be_v common_o commit_v in_o the_o use_n thereof_o either_o by_o reason_n of_o the_o parallax_n or_o eccentricitie_n of_o the_o eye_n or_o by_o the_o height_n of_o the_o eye_n above_o the_o water_n or_o by_o the_o parallax_n or_o refraction_n of_o the_o sun_n and_o because_o for_o find_v the_o quantity_n of_o the_o angle_n that_o be_v to_o be_v abate_v out_o of_o the_o apparent_a altitude_n of_o the_o sun_n or_o star_n observe_v by_o this_o staff_n for_o any_o height_n of_o the_o eye_n above_o the_o water_n it_o be_v needful_a to_o know_v the_o quantity_n of_o the_o earth_n semidiameter_n concern_v which_o there_o be_v great_a variety_n of_o opinion_n among_o learned_a author_n i_o have_v therefore_o in_o this_o part_n of_o this_o treatise_n now_o show_v divers_a way_n for_o the_o more_o certain_a find_v thereof_o one_o of_o which_o way_n i_o have_v also_o for_o my_o more_o assurance_n exemplify_v by_o observation_n as_o mean_n and_o opportunity_n serve_v i_o near_o plymouth_n sound_n anno_fw-la 1589._o the_o four_o and_o last_o part_n may_v be_v call_v astronomical_a wherein_o my_o chief_a intent_n be_v to_o correct_v the_o error_n that_o be_v in_o the_o ordinary_a table_n of_o declination_n of_o the_o sun_n and_o fix_v star_n to_o which_o end_n there_o be_v first_o set_v down_o a_o table_n of_o the_o declination_n of_o every_o minute_n of_o the_o ecliptic_a in_o degree_n minute_n and_o second_n calculate_v for_o the_o great_a obliquity_n of_o the_o zodiac_n as_o it_o be_v find_v by_o observation_n in_o this_o age_n 23_o degree_n 21_o minute_n and_o a_o half_a whereto_o be_v adjoin_v the_o use_n thereof_o for_o the_o ready_a find_n of_o the_o place_n of_o the_o sun_n by_o his_o declination_n give_v or_o contrariwise_o for_o find_v the_o sun_n declination_n his_o place_n be_v first_o know_v after_o this_o be_v show_v the_o way_n and_o mean_n i_o use_v for_o exact_a observation_n of_o the_o sun_n meridian_n altitude_n with_o a_o table_n of_o those_o observation_n for_o four_o year_n together_o that_o so_o the_o more_o certainty_n may_v be_v have_v of_o the_o declination_n and_o place_n and_o consequent_o of_o the_o whole_a course_n and_o motion_n of_o the_o sun_n and_o that_o by_o compare_v together_o so_o many_o observation_n the_o sun_n eccentricitie_n and_o apogaeum_n may_v the_o more_o assure_o be_v know_v by_o knowledge_n whereof_o the_o way_n be_v lay_v open_a for_o the_o correct_v and_o true_a make_n of_o the_o table_n of_o the_o sun_n middle_a motion_n and_o prosthaphaereses_n which_o be_v necessary_a help_n and_o mean_n for_o calculate_v the_o ephemerides_n of_o the_o sun_n there_o set_v down_o without_o which_o the_o regiment_n or_o table_n of_o declination_n of_o the_o sun_n next_o follow_v which_o i_o may_v commend_v as_o free_v from_o error_n observable_a at_o sea_n and_o seldom_o differ_v one_o minute_n from_o observation_n on_o land_n and_o for_o which_o principal_o all_o the_o former_a pain_n be_v undertake_v can_v not_o so_o easy_o have_v be_v make_v now_o if_o any_o shall_v think_v that_o most_o of_o this_o four_o part_n go_v before_o this_o regiment_n may_v have_v be_v omit_v as_o be_v impertinent_a to_o the_o use_n of_o mariner_n and_o exceed_v their_o capacity_n i_o answer_v that_o it_o be_v not_o my_o purpose_n neither_o can_v i_o in_o all_o place_n apply_v myself_o to_o the_o most_o part_n of_o seaman_n capacity_n know_v many_o that_o will_v not_o be_v content_a with_o this_o regiment_n alone_o but_o that_o desire_a more_o to_o know_v the_o ground_n and_o root_n from_o whence_o this_o fruit_n grow_v who_o desire_n i_o be_v also_o willing_a to_o satisfy_v as_o i_o can_v for_o the_o present_a have_v seldom_o have_v a_o more_o inconvenient_a season_n for_o such_o a_o purpose_n then_o after_o some_o caution_n give_v concern_v the_o use_n of_o this_o table_n of_o declination_n and_o the_o equation_n thereof_o in_o place_n far_o differ_v in_o longitude_n from_o hence_o there_o follow_v a_o table_n of_o 32_o principal_a fix_a star_n about_o the_o aequinoctial_a that_o have_v be_v most_o common_o know_v and_o observe_v by_o seaman_n with_o their_o declination_n correct_v and_o another_o table_n of_o as_o many_o more_o of_o the_o notable_a star_n about_o the_o north_n pole_n be_v thereto_o annex_v with_o their_o distance_n from_o the_o pole_n correct_v also_o and_o verify_v by_o diligent_a observation_n on_o land_n to_o these_o be_v add_v a_o table_n of_o the_o sun_n right_a ascension_n resolve_v into_o hour_n and_o minute_n for_o every_o day_n of_o the_o year_n with_o the_o use_n thereof_o for_o find_v at_o what_o hour_n any_o of_o those_o star_n come_v to_o the_o meridian_n at_o any_o time_n of_o the_o year_n that_o hereby_o the_o mariner_n may_v find_v at_o all_o time_n when_o they_o come_v to_o the_o meridian_n and_o so_o the_o easy_o learn_v to_o know_v and_o observe_v they_o hereunto_o i_o have_v new_o adjoin_v the_o description_n and_o use_n of_o a_o instrument_n which_o way_n not_o unfit_o be_v call_v a_o sea-quadrant_a whereby_o be_v show_v how_o the_o height_n of_o the_o sun_n at_o sea_n may_v by_o two_o observer_n be_v much_o more_o exct_o observe_v then_o by_o any_o other_o mean_v before_o publish_v and_o how_o the_o height_n of_o the_o pole_n may_v ready_o be_v find_v at_o any_o time_n of_o the_o night_n by_o observation_n of_o the_o polestar_n and_o guard_n without_o make_v any_o abatement_n or_o allowance_n as_o the_o manner_n have_v be_v in_o regard_n of_o the_o point_n of_o the_o compass_n whereupon_o the_o guard_n be_v situate_a but_o now_o for_o further_a satisfaction_n in_o every_o one_o of_o these_o particular_n i_o refer_v the_o friendly_a reader_n to_o the_o treatise_n itself_o here_o follow_v which_o simon_n stevins_n inconsiderate_a desire_n of_o find_v fault_n with_o my_o table_n of_o rumb_n have_v cause_v i_o to_o conclude_v with_o a_o answer_n to_o he_o plain_o show_v himself_o and_o not_o i_o to_o be_v in_o the_o same_o fault_n that_o he_o will_v find_v with_o i_o to_o this_o treatise_n for_o the_o benefit_n of_o the_o young_a and_o unskilfull_a sort_n of_o seaman_n it_o be_v think_v not_o unmeet_a to_o adjoyn_v the_o short_a treatise_n follow_v contain_v the_o sum_n of_o the_o whole_a art_n of_o navigation_n first_o set_v forth_o in_o spanish_a by_o roderigo_n samorano_n and_o since_o translate_v into_o english_a by_o a_o friend_n of_o i_o for_o the_o benefit_n of_o our_o nation_n which_o treatise_n i_o will_v wish_v all_o they_o that_o be_v but_o new_a beginner_n in_o that_o art_n first_o to_o peruse_v and_o understand_v well_o before_o they_o come_v to_o the_o read_n of_o the_o former_a which_o for_o the_o read_n thereof_o with_o the_o great_a profit_n require_v such_o a_o one_o as_o be_v already_o reasonable_o well_o acquaint_v with_o the_o rule_n and_o principle_n of_o that_o art_n which_o i_o have_v not_o hitherto_o know_v to_o be_v more_o brief_o and_o plain_o nor_o yet_o more_o full_o set_v down_o and_o publish_v in_o any_o other_o book_n than_o they_o be_v in_o that_o little_a treatise_n this_o notwithstanding_o i_o must_v admonish_v the_o reader_n that_o in_o stead_n of_o the_o sea-chart_n therein_o describe_v according_a to_o the_o common_a error_n with_o equal_a degree_n of_o latitude_n he_o follow_v that_o manner_n of_o make_v the_o same_o which_o i_o have_v in_o the_o former_a treatise_n set_v down_o chap._n 3_o 4_o 5_o and_o 6._o and_o that_o in_o stead_n of_o the_o rule_n and_o allowance_n for_o find_v the_o latitude_n by_o the_o height_n of_o the_o polestar_n which_o be_v many_o way_n and_o much_o
41_o 12_o 49_o 53_o 26_o 11_o 36_o 26_o 5_o 0_o 6_o 36_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 3_o 36_o 9_o 9_o ♎_o 3_o 26_o 8_o ♎_o 57_o 0_o 6_o 26_o 6_o 42_o 5_o 16_o 59_o 57_o 16_o 51_o 0_o 8_o 57_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 8_o 57_o 54_o 22_o 58_o 13_o 22_o 48_o 0_o 10_o 13_o 11_o 8_o 15_o 28_o 56_o 34_o 28_o 46_o 0_o 10_o 34_o 11_o 50_o 55_o 0_o â™_o 57_o 28_o 0_o â™_o 45_o 0_o 12_o 28_o 15_o 12_o 37_o 11_o 5_o 41_o 10_o 46_o 0_o 19_o 41_o 16_o 17_o 10_o 14_o 4_o 23_o 13_o 46_o 0_o 18_o 23_o 16_o 43_o 19_o 16_o 7_o 30_o 15_o 47_o 0_o 20_o 30_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 8_o 5_o 58_o 21_o 6_o 26_o 20_o 48_o 0_o 18_o 26_o 16_o 9_o 0_o 25_o 16_o 16_o 24_o 50_o 0_o 26_o 16_o 22_o 7_o 55_o 10_o â™_o 42_o 36_o 10_o â™_o 1_o 0_o 41_o 36_o chap._n xx._n the_o find_n of_o the_o sun_n apogeum_n and_o eccentricitie_n out_o of_o the_o former_a observation_n now_o by_o the_o whole_a course_n of_o these_o observation_n it_o manifest_o appear_v that_o the_o declination_n set_v down_o in_o the_o regiment_n of_o the_o sun_n that_o be_v and_o have_v be_v hitherto_o ordinary_o use_v by_o our_o seaman_n do_v for_o the_o most_o part_n notable_o err_v from_o the_o truth_n of_o the_o heaven_n which_o error_n as_o they_o may_v most_o true_o be_v correct_v by_o observation_n only_o in_o those_o day_n wherein_o certain_a observation_n be_v make_v so_o for_o find_v out_o the_o declination_n of_o the_o middle_a day_n between_o the_o observation_n i_o think_v it_o the_o best_a way_n first_o to_o make_v the_o ephemerides_n of_o the_o sun_n hereafter_o follow_v agreeable_a to_o the_o former_a observation_n and_o then_o to_o find_v out_o the_o declination_n answerable_a to_o the_o place_n of_o the_o sun_n for_o every_o day_n of_o four_o year_n together_o because_o that_o after_o that_o number_n of_o year_n the_o same_o place_n of_o the_o sun_n and_o the_o same_o declination_n return_v again_o without_o sensible_a error_n which_o also_o by_o a_o certain_a equation_n may_v be_v correct_v and_o for_o the_o easy_a find_v out_o of_o this_o equation_n i_o have_v continue_v these_o table_n for_o one_o year_n more_o make_v they_o for_o five_o year_n and_o so_o include_v two_o leap_v year_n by_o the_o difference_n of_o which_o year_n we_o may_v easy_o find_v the_o say_a equation_n by_o mean_n whereof_o these_o table_n may_v be_v make_v serviceable_a for_o many_o year_n first_o therefore_o for_o make_v these_o ephemerides_n it_o be_v needful_a to_o know_v the_o time_n of_o the_o sun_n entrance_n into_o certain_a principal_a point_n of_o the_o zodiac_n as_o also_o the_o time_n of_o the_o sun_n continuance_n in_o the_o arch_n of_o the_o zodiac_n contain_v between_o those_o point_n whereby_o the_o proportion_n of_o the_o sun_n motion_n may_v geometrical_o be_v find_v out_o his_o eccentricitie_n and_o place_n of_o his_o apogeum_n be_v hereby_o know_v to_o know_v the_o time_n of_o the_o sun_n commnig_v to_o any_o point_n of_o the_o ecliptic_a ecliptick·_n it_o be_v best_o to_o observe_v exact_o the_o meridian_n altitude_n of_o the_o sun_n not_o only_o the_o same_o day_n wherein_o he_o be_v like_a to_o enter_v into_o the_o point_n desire_v but_o every_o day_n also_o for_o two_o or_o three_o day_n together_o both_o before_o and_o after_o that_o day_n that_o both_o by_o the_o testimony_n of_o so_o many_o observation_n compare_v together_o you_o may_v have_v the_o more_o assure_a truth_n as_o also_o that_o if_o the_o day_n you_o most_o desire_n fall_v not_o out_o to_o be_v so_o clear_a as_o you_o will_v wish_v you_o may_v notwithstanding_o by_o the_o observation_n of_o the_o day_n go_v before_o and_o follow_v after_o or_o either_o of_o they_o obtain_v your_o desire_n have_v thus_o observe_v the_o meridian_n altitude_n of_o the_o sun_n and_o thereby_o also_o find_v his_o declination_n for_o every_o one_o of_o those_o day_n wherein_o you_o observe_v you_o shall_v easy_o know_v also_o the_o true_a place_n of_o the_o sun_n in_o every_o each_o one_o of_o the_o same_o day_n with_o help_n of_o the_o former_a table_n of_o the_o declination_n of_o every_o minute_n of_o the_o ecliptic_a in_o such_o sort_n as_o before_o be_v declare_v when_o i_o show_v the_o use_n of_o that_o table_n now_o if_o it_o fall_v out_o so_o happy_o that_o both_o the_o day_n be_v clear_a when_o the_o sun_n enter_v into_o the_o desire_a point_n of_o the_o ecliptic_a and_o that_o the_o place_n of_o the_o sun_n answerable_a to_o the_o declination_n of_o that_o day_n be_v all_o one_o with_o the_o point_n desire_v you_o have_v already_o that_o you_o seek_v for_o without_o any_o more_o ado_n viz._n that_o the_o sun_n enter_v that_o day_n at_o noon_n into_o the_o point_n desire_v otherwise_o subtract_v the_o observe_v place_n of_o the_o sun_n next_o before_o the_o point_n desire_v out_o of_o the_o observe_v place_n of_o the_o sun_n next_o follow_v that_o point_n and_o the_o remainder_n shall_v show_v you_o the_o true_a motion_n of_o the_o sun_n answerable_a to_o the_o time_n between_o those_o observation_n subtract_v also_o the_o former_a place_n of_o the_o sun_n from_o his_o place_n in_o the_o point_n desire_v and_o note_v the_o difference_n for_o as_o the_o former_a remainder_n that_o be_v the_o apparent_a motion_n of_o the_o sun_n between_o the_o observation_n be_v to_o the_o time_n between_o those_o observation_n so_o be_v this_o difference_n to_o the_o time_n between_o the_o first_o observation_n and_o the_o sun_n entrance_n into_o the_o point_n desire_v example_n of_o the_o first_o i_o desire_v to_o know_v the_o time_n of_o the_o sun_n entrance_n into_o 17_o degree_n 0_o min._n of_o ♌_o in_o the_o year_n 1595._o i_o observe_v therefore_o at_o london_n the_o apparent_a height_n of_o the_o sun_n at_o noon_n the_o 31_o of_o july_n the_o same_o year_n and_o find_v it_o to_o be_v 54_o degree_n 14_o minute_n out_o of_o which_o his_o true_a height_n correct_v by_o his_o parallax_n be_v find_v to_o be_v 54_o degr_n 15_o min._n 46_o sec._n whereby_o his_o declination_n be_v gather_v to_o be_v 15._o degree_n 47_o minute_n 46_o sec._n and_o consequent_o his_o place_n in_o 17_o degree_n 0_o minute_n of_o ♌_o that_o day_n at_o noon_n example_n of_o the_o second_o admit_v the_o year_n follow_v 1596_o you_o will_v know_v the_o time_n of_o the_o sun_n entrance_n into_o the_o midst_n of_o taurus_n have_v therefore_o to_o this_o end_n observe_v the_o apparent_a meridian_n altitude_n of_o the_o sun_n the_o 24_o 25_o and_o 26._o day_n of_o april_n in_o that_o year_n within_o the_o space_n of_o which_o day_n i_o be_o sure_a the_o sun_n must_v needs_o be_v in_o that_o point_n to_o be_v 54_o degree_n 35_o minute_n 54_o degree_n 51_o min._n ½_o 55_o degree_n 8_o min._n ½_o and_o consequent_o the_o true_a height_n 54_o degr_n 36_o min._n 44_o sec._n 54_o degr_n 53_o min._n 13_o sec._n 55_o degree_n 10_o min._n 13_o sec_fw-la and_o out_o of_o these_o the_o true_a declination_n 16_o degr_n 8_o min._n 44_o sec._n 16_o degr_n 25_o min._n 13_o sec._n 16._o degr_n 52_o min._n 13._o sec._n hereby_o i_o find_v the_o true_a place_n of_o the_o sun_n the_o same_o day_n to_o be_v 14_o degr_n 9_o min._n 40_o sec._n of_o taurus_n 15_o degr_n 5_o min._n 20_o sec._n of_o taurus_n 16_o degr_n 3_o min._n 42_o sec._n of_o taurus_n subtract_v therefore_o 14_o degr_n 9_o min_fw-mi 40_o sec._n of_o taurus_n that_o be_v the_o place_n of_o the_o sun_n the_o 24_o day_n out_o of_o 15_o degr_n 5_o min._n 20_o sec._n of_o taurus_n the_o place_n of_o the_o sun_n the_o 25_o day_n the_o remainder_n shall_v be_v 55_o min._n 40_o sec._n which_o be_v the_o true_a motion_n of_o the_o sun_n between_o the_o 24_o and_o 25._o day_n at_o noon_n that_o be_v the_o diurn_n motion_n of_o the_o sun_n at_o that_o time_n subtract_v also_o 14_o degr_n 9_o min._n 40_o sec._n of_o taurus_n out_o of_o 15_o degr_v 0_o min._n of_o taurus_n the_o difference_n be_v 50_o min._n 20_o sec._n now_o as_o 55_o min._n 40_o sec_fw-la be_v to_o 50_o min._n 20_o sec._n so_o be_v 24_o hour_n to_o 21_o hour_n 42_o min._n and_o 2_o sec_fw-la it_o appear_v therefore_o by_o subtract_v 21_o hour_n 42_o min._n 2_o sec._n out_o of_o 24_o hour_n that_o the_o sun_n shall_v enter_v into_o the_o midst_n of_o taurus_n the_o 25_o day_n about_o two_o hour_n and_o almost_o 18_o min._n before_o noon_n that_o be_v at_o nine_o a_o clock_n and_o 42_o minute_n now_o suppose_v i_o have_v not_o or_o can_v not_o have_v observe_v the_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
certain_a error_n in_o navigation_n detect_v and_o correct_v by_o edw._n wright_n with_o many_o addition_n that_o be_v not_o in_o the_o former_a edition_n london_n print_a by_o joseph_n moxon_n and_o sell_v at_o his_o shop_n at_o the_o atlas_n on_o cornhill_n 1657._o addition_n to_o this_o edition_n that_o be_v not_o in_o the_o former_a the_o table_n for_o the_o true_a divide_v of_o a_o meridian_n of_o the_o sea-chart_n here_o call_v the_o table_n of_o latitude_n make_v to_o every_o minute_n of_o the_o quadrant_n which_o in_o the_o former_a edition_n be_v to_o every_o ten_o minute_n from_o page_n 14_o to_o the_o 36._o 2_o divers_a addition_n concern_v the_o true_a graduate_n and_o make_v both_o of_o a_o general_a and_o particular_a sea-chart_n and_o touch_v the_o use_n of_o the_o table_n of_o latitude_n in_o the_o 4_o 5_o 6_o and_o 7_o chapter_n 3_o the_o angle_n of_o any_o rumb_n or_o helisphaerical_a line_n with_o the_o equinoctial_a be_v give_v to_o find_v present_o the_o latitude_n thereof_o for_o any_o longitude_n give_v page_n 46._o 4_o the_o table_n of_o rumb_n more_o exact_o calculate_v then_o before_o and_o a_o table_n of_o the_o eight_o rumb_n calculate_v to_o every_o ten_o minute_n and_o add_v to_o the_o former_a from_o page_n 25_o to_o 54._o 5_o the_o use_n and_o make_n of_o the_o searings_a from_o page_n 75_o to_o 79._o 6_o a_o table_n of_o the_o magnetical_a inclination_n calculate_v to_o every_o degree_n of_o the_o quadrant_n together_o with_o the_o geometrical_a demonstration_n of_o the_o make_v thereof_o 7_o to_o find_v the_o angle_n of_o the_o true_a horizontal_n line_n with_o the_o visual_a line_n touch_v the_o roundness_n of_o the_o sea_n at_o any_o height_n of_o the_o eye_n above_o the_o water_n and_o to_o this_o end_n a_o observation_n and_o demonstration_n for_o the_o find_n of_o the_o quantity_n of_o the_o earth_n semidiameter_n from_o page_n 87_o to_o 96._o 8_o a_o table_n of_o refraction_n of_o the_o sun_n and_o fix_a star_n pag._n 97._o 9_o the_o table_n of_o declination_n of_o every_o minute_n of_o the_o ecliptic_a new_o and_o exact_o calculate_v in_o degr_n min._n and_o second_o to_o the_o great_a obliquity_n of_o 23_o degree_n 31_o min._n 30_o second_n from_o pag._n 100_o to_o 115._o 10_o the_o table_n of_o observation_n of_o the_o sun_n correct_v by_o his_o parallax_n from_o pag._n 124_o to_o 141._o 11_o the_o eccentricitie_n of_o the_o sun_n the_o place_n of_o his_o apogaeum_n and_o table_n of_o his_o middle_a motion_n find_v out_o and_o correct_v according_a to_o the_o say_a observation_n in_o chap._n 20_o 21._o 12_o a_o new_a theoric_n of_o the_o sun_n and_o the_o manner_n of_o make_v the_o table_n of_o the_o sun_n prosthaphaereses_n thereby_o from_o pag._n 154.158_o 13_o new_a ephemerides_n of_o the_o sun_n for_o five_o year_n and_o how_o to_o make_v they_o and_o continue_v they_o for_o many_o year_n past_a or_o to_o come_v from_o pag._n 159_o to_o 168._o 14_o a_o new_a table_n of_o the_o sun_n declination_n for_o the_o mariner_n use_v and_o how_o by_o certain_a prosthaphaereses_n to_o continue_v the_o same_o for_o many_o year_n from_o pa._n 170_o to_o 181._o 15_o the_o error_n of_o simon_n stevin_n in_o find_v fault_n with_o my_o table_n of_o rumb_n from_o the_o 214_o pag._n to_o the_o 224._o 16_o a_o short_a treatise_n of_o the_o whole_a art_n of_o navigation_n 17_o a_o â—ew_a and_o exact_a table_n of_o the_o sun_n declination_n make_v and_o to_o be_v use_v according_a to_o the_o ordinary_a manner_n wherewith_o english_a mariner_n have_v be_v most_o acquaint_v from_o pag._n â—7_n to_o 80._o 18_o a_o most_o easy_a and_o exact_a way_n to_o find_v the_o true_a height_n of_o the_o pole_n in_o any_o north_n latitude_n by_o knowledge_n of_o the_o height_n of_o the_o polestar_n when_o the_o guard_n be_v in_o any_o of_o those_o 8_o ordinary_a position_n common_o note_v among_o seaman_n from_o pag._n 81_o to_o 90._o 19_o a_o table_n of_o observation_n of_o the_o variation_n of_o the_o compass_n take_v in_o all_o part_n of_o the_o world_n almost_o whither_o any_o navigation_n have_v be_v make_v in_o our_o age_n from_o pag._n 91_o to_o 101_o 20_o the_o haven_n find_v art_n or_o the_o way_n to_o find_v any_o haven_n or_o place_n at_o sea_n by_o the_o latitude_n and_o variation_n to_o the_o worshipful_a captain_n thomas_n whetstone_n esquire_n much_o honour_a sir_n the_o love_a respect_n which_o your_o pain_n express_v to_o me-ward_n when_o some_o occasion_n urge_v i_o to_o make_v application_n to_o your_o worship_n have_v so_o far_o oblige_v i_o that_o i_o shall_v not_o acquit_v myself_o of_o ingratitude_n if_o i_o shall_v let_v slip_v the_o opportunity_n i_o have_v to_o render_v your_o worship_n thanks_o and_o with_o all_o sir_n know_v your_o good_a affection_n to_o and_o perfection_n in_o science_n mathematical_a and_o especial_o that_o most_o necessary_a most_o profitable_a and_o honourable_a branch_n thereof_o navigation_n i_o further_o make_v bold_a to_o dedicate_v this_o the_o three_o edition_n of_o mr_n edward_n wright_n correction_n of_o error_n in_o the_o art_n of_o navigation_n to_o the_o acceptance_n and_o patronage_n of_o you_o most_o honour_a sir_n the_o author_n in_o his_o time_n think_v it_o a_o present_a for_o a_o prince_n nay_o a_o splendent_a and_o illustrious_a prince_n and_o therefore_o dedicate_v it_o to_o the_o elder_a son_n of_o james_n king_n of_o great_a britain_n viz._n henry_n than_o prince_n of_o wales_n who_o bud_v virtue_n grow_v in_o you_o who_o heroic_a spirit_n act_n in_o you_o and_o who_o hopeful_a valour_n and_o courage_n powerful_o and_o effectual_o manifest_v its_o self_n in_o you_o but_o sir_n its_o patron_n be_v dead_a and_o so_o be_v the_o elementary_a part_n of_o its_o author_n and_o a_o shame_n it_o be_v so_o worthy_a a_o work_n shall_v again_o enter_v on_o the_o stage_n of_o the_o world_n without_o either_o author_n to_o own_o it_o or_o patron_n to_o protect_v it_o and_o therefore_o sir_n as_o this_o motive_n move_v i_o 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bring_v it_o to_o that_o pass_n the_o motion_n of_o the_o sun_n and_o moon_n and_o place_n of_o the_o fix_a star_n be_v verify_v whereof_o that_o noble_a tycho_n brahe_n have_v afford_v great_a hope_n that_o the_o industrious_a and_o willing_a mind_a mariner_n may_v be_v capable_a thereof_o in_o such_o sort_n that_o for_o the_o most_o part_n when_o the_o moon_n and_o fix_a star_n appear_v he_o may_v be_v able_a hereby_o to_o know_v what_o longitude_n he_o be_v in_o yea_o even_o at_o sea_n more_o true_o than_o many_o have_v do_v by_o their_o dead_a reckon_n in_o sail_v out_o of_o the_o bay_n of_o mexico_n to_o the_o azore_n or_o from_o newfoundland_n to_o england_n or_o almost_o from_o the_o azore_n to_o england_n but_o on_o land_n the_o longitude_n may_v by_o this_o mean_n be_v find_v exact_o as_o the_o latitude_n have_v be_v by_o many_o observer_n at_o sea_n and_o so_o opportunity_n of_o observation_n with_o meet_a instrument_n on_o shore_n not_o be_v neglect_v especial_o in_o long_a 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come_v from_o the_o say_a edge_n of_o the_o sight_n fall_v for_o that_o edge_n of_o the_o shadow_n upon_o the_o hollow_a side_n of_o the_o arch_n of_o the_o quadrant_n show_v the_o height_n of_o the_o upper_a edge_n of_o the_o sun_n from_o this_o therefore_o subtract_v 16_o minute_n and_o so_o much_o also_o as_o be_v answerable_a to_o the_o height_n of_o your_o eye_n above_o the_o water_n in_o such_o sort_n as_o i_o have_v show_v in_o the_o use_n of_o the_o crosse-staff_n in_o the_o 15_o chapter_n of_o this_o book_n and_o so_o you_o shall_v have_v the_o apparent_a height_n of_o the_o sun_n above_o the_o true_a horizon_n chap._n xxxviii_o how_o with_o this_o quadrant_n to_o observe_v the_o height_n of_o the_o sun_n with_o your_o back_n turn_v towards_o the_o sun_n set_v the_o edge_n of_o one_o of_o the_o broad_a movable_a sight_n or_o vane_n even_o with_o that_o end_n of_o the_o quadrant_n where_o the_o little_a sight_n be_v fix_v then_o look_v through_o the_o slit_n which_o be_v make_v 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minute_n and_o so_o i_o think_v it_o convenient_a to_o set_v down_o the_o account_n which_o ought_v now_o to_o be_v make_v thereof_o book_n according_a to_o the_o foresay_a distance_n to_o the_o end_n that_o from_o henceforth_o the_o height_n of_o the_o pole_n take_v by_o the_o star_n may_v agree_v just_o with_o the_o distance_n from_o the_o equinoctial_a take_v by_o the_o sun_n which_o two_o thing_n have_v hitherto_o disagree_v and_o cause_v no_o small_a confusion_n unto_o the_o pilot_n and_o some_o error_n in_o navigation_n the_o guard_n be_v in_o the_o east_n you_o shall_v add_v unto_o the_o height_n take_v by_o the_o crosse-staffe_n 1_o degree_n 20_o minute_n north-east_n 3_o degree_n 8_o minute_n north_n 2_o degree_n 41_o minute_n northwest_o 0_o degree_n 27_o minute_n in_o the_o contrary_a rumb_n to_o these_o you_o must_v deduct_v these_o degree_n from_o the_o height_n of_o the_o star_n which_o you_o take_v with_o your_o crosse-staffe_n and_o then_o you_o shall_v have_v the_o 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southeast_n south_n north_n northeast_n east_n southeast_n northwest_o north_n north-east_n east_n west_n northwest_o north_n north-east_n southwest_n west_n northwest_o north_n south_n southwest_n west_n northwest_o southeast_n south_n southwest_n west_n in_o this_o table_n the_o first_o column_n serve_v for_o the_o guard_n the_o second_o for_o the_o three_o star_n the_o three_o column_n for_o the_o six_o star_n and_o the_o four_o for_o the_o nine_o star_n insomuch_o as_o if_o you_o seek_v the_o rumb_n see_v any_o of_o these_o four_o star_n in_o this_o table_n right_a against_o the_o same_o do_v answer_v those_o rumb_n where_o the_o other_o three_o be_v although_o we_o can_v see_v they_o in_o the_o heaven_n chap._n xvi_o of_o the_o crosier_n when_o the_o mariner_n pass_v the_o equinoctial_a line_n towards_o the_o south_n so_o that_o they_o can_v see_v the_o north-star_n they_o make_v use_v of_o another_o staâ—_n which_o be_v in_o the_o constellation_n call_v by_o the_o astronomer_n the_o centaur_n which_o star_n with_o other_o three_o notable_a star_n which_o be_v in_o the_o same_o constellation_n make_v the_o figure_n of_o a_o cross_n for_o which_o cause_n they_o call_v it_o the_o crosier_n and_o it_o be_v hold_v for_o certain_a that_o when_o the_o star_n a_o which_o of_o all_o four_o come_v near_a to_o the_o south_n pole_n be_v north_n and_o south_n with_o the_o star_n b_o that_o than_o it_o be_v right_o situate_a to_o take_v the_o height_n by_o and_o because_o this_o star_n a_o which_o they_o call_v the_o cock_n foot_n be_v thirty_o degree_n from_o the_o south_n pole_n it_o come_v to_o pass_v that_o if_o be_v situate_a as_o be_v aforesaid_a we_o take_v the_o height_n thereof_o which_o be_v then_o the_o great_a that_o it_o can_v have_v this_o height_n will_v true_o show_v how_o far_o we_o be_v distant_a from_o the_o equinoctial_a for_o if_o the_o say_a height_n be_v thirty_o degree_n than_o we_o be_v in_o the_o very_a equinoctial_a and_o if_o it_o be_v more_o than_o thirty_o degree_n then_o be_v we_o by_o so_o much_o past_o the_o equinoctial_a towards_o the_o south_n and_o if_o it_o be_v less_o than_o 30_o degree_n so_o much_o as_o it_o want_v be_v we_o to_o the_o north_n of_o the_o equinoctial_a and_o here_o it_o be_v to_o be_v note_v that_o when_o the_o guard_n be_v in_o the_o north-east_n then_o be_v the_o star_n in_o the_o crosier_n fit_o situate_a for_o observation_n because_o than_o they_o be_v in_o the_o meridian_n chap._n xvii_o of_o the_o sea-compass_n the_o sea-compass_n be_v one_o of_o the_o most_o necessary_a instrument_n which_o be_v use_v in_o navigation_n for_o day_n and_o night_n in_o clear_a and_o dark_a weather_n it_o show_v always_o the_o right_a way_n through_o the_o sea_n and_o therefore_o it_o be_v meet_v that_o this_o instrument_n be_v make_v with_o much_o care_n to_o the_o end_n that_o it_o may_v be_v most_o certain_a and_o true_a and_o the_o manner_n of_o make_v it_o be_v that_o upon_o a_o piece_n of_o pasteboard_n you_o draw_v a_o circle_n so_o big_a as_o you_o will_v have_v your_o compass_n to_o be_v which_o be_v divide_v into_o 32_o equal_a part_n as_o we_o have_v already_o show_v in_o the_o chapter_n of_o the_o wind_n with_o sixteen_o line_n cross_v one_o another_o in_o the_o centre_n than_o you_o shall_v adorn_v the_o eight_o principal_a wind_n as_o be_v to_o be_v see_v in_o the_o figure_n follow_v end_v in_o the_o north_n with_o a_o flower_n deluis_fw-la and_o you_o shall_v paint_v the_o north_n and_o south_n and_o east_n and_o west_n with_o blue_a and_o the_o north-east_n and_o south-west_n and_o the_o northwest_n and_o southeast_n with_o red_a and_o then_o take_v two_o steel_n wire_n which_o be_v to_o be_v place_v like_o the_o head_n of_o a_o lance_n you_o must_v fasten_v they_o on_o the_o back_n side_n of_o the_o say_a circle_n in_o such_o sort_n that_o one_o meet_v of_o the_o point_n of_o those_o steel_n wire_n be_v right_a under_o the_o north_n allow_v half_o a_o point_n towards_o the_o north-east_n in_o regard_n of_o the_o north-easting_a of_o the_o needle_n at_o sevil_n and_o the_o other_o meet_v at_o the_o opposite_a point_n which_o be_v south_n and_o half_a a_o point_n towards_o the_o south-west_n and_o touch_v or_o rub_v those_o two_o point_n of_o the_o wire_n with_o the_o end_n of_o the_o loadstone_n which_o look_v to_o the_o north_n and_o to_o the_o south_n to_o wit_n the_o north_n point_v of_o the_o wire_n with_o the_o south_n of_o the_o stone_n &_o the_o south_n point_n of_o the_o wire_n with_o the_o north_n of_o the_o stone_n this_o be_v do_v you_o must_v place_n upon_o the_o centre_n of_o the_o say_a circle_n a_o capitel_a which_o must_v be_v very_o well_o bore_v in_o from_o off_o a_o round_a pyramid_n to_o the_o end_n
5_o i_o divide_v these_o 24_o by_o 5_o and_o i_o find_v the_o quotient_a to_o be_v four_o and_o the_o remainder_n four_o and_o so_o i_o say_v that_o the_o moon_n come_v to_o the_o north-east_n four_o hour_n and_o ⅘_n late_a than_o the_o sun_n and_o because_o the_o sun_n come_v to_o the_o north-east_n at_o three_o a_o clock_n in_o the_o morning_n i_o add_v those_o 4_o hour_n and_o ⅘_n unto_o the_o 3_o hour_n last_o mention_v and_o they_o make_v seven_o hour_n and_o ⅘_n which_o be_v the_o hour_n of_o the_o morning_n wherein_o the_o tide_n or_o full_a sea_n happen_v and_o add_v unto_o these_o seven_o hour_n and_o ⅘_n other_o six_o hour_n and_o ⅕_n they_o make_v in_o all_o fourteen_o hour_n which_o fall_v out_o at_o two_o a_o clock_n in_o the_o afternoon_n which_o be_v the_o hour_n of_o the_o first_o low_a water_n or_o ebb_v and_o add_v unto_o the_o say_a hour_n of_o the_o full_a sea_n twelve_o hour_n and_o ⅖_n it_o will_v amount_v unto_o eight_o of_o the_o clock_n and_o ⅕_n part_v of_o a_o hour_n which_o be_v the_o hour_n of_o the_o night_n wherein_o the_o second_o tide_n or_o high_a water_n be_v and_o add_v unto_o this_o second_o tide_n other_o six_o hour_n and_o ⅕_n and_o they_o make_v two_o of_o the_o clock_n in_o the_o morning_n and_o ⅕_n at_o which_o time_n there_o come_v the_o second_o ebb_n or_o low_a sea_n chap._n xxxiii_o of_o a_o certain_a instrument_n whereby_o you_o may_v in_o general_a judge_n of_o the_o tide_n because_o the_o tide_n it_o be_v suppose_v that_o in_o all_o place_n they_o proceed_v from_o the_o motion_n of_o the_o moon_n run_v not_o in_o every_o part_n of_o the_o world_n by_o one_o and_o the_o same_o rumb_n as_o it_o be_v manifest_a in_o the_o channel_n of_o flanders_n and_o in_o all_o the_o coast_n of_o the_o northern_a sea_n which_o be_v a_o matter_n of_o great_a confusion_n and_o difficulty_n to_o mariner_n i_o think_v good_a here_o to_o set_v down_o a_o instrument_n whereby_o the_o day_n of_o the_o moon_n and_o the_o rumb_n whereupon_o the_o moon_n cause_v the_o tide_n in_o every_o part_n be_v know_v they_o may_v judge_v of_o the_o ebb_n and_o flood_n with_o great_a facility_n draw_v upon_o a_o sheet_n of_o paper_n or_o upon_o a_o plate_n of_o tinn_n or_o any_o other_o matter_n a_o circle_n as_o big_a as_o the_o palm_n of_o a_o man_n hand_n and_o half_a a_o finger_n breadth_n within_o that_o circle_n draw_v another_o circle_n and_o have_v divide_v they_o both_o into_o 32_o equal_a part_n with_o line_n draw_v from_o the_o centre_n to_o the_o circumference_n of_o the_o great_a circle_n upon_o the_o upper_a end_n of_o one_o of_o those_o line_n place_v a_o flowerdeluis_a and_o the_o number_n of_o 12_o and_o in_o the_o next_o line_n thereunto_o towards_o the_o left_a hand_n set_v down_o 12_o and_o ¾_n and_o in_o the_o three_o line_n 1_o ½_o and_o so_o proceed_v forward_o put_v down_o upon_o every_o line_n follow_v ¾_n of_o a_o hour_n more_o until_o you_o come_v again_o to_o the_o number_n of_o 12_o in_o the_o low_a line_n and_o from_o thence_o forward_o set_v down_o the_o same_o number_n that_o you_o do_v at_o the_o first_o these_o 32_o line_n so_o draw_v do_v represent_v the_o 32_o wind_n whereby_o the_o sun_n and_o moon_n pass_v every_o day_n and_o so_o you_o may_v set_v down_o the_o name_n of_o the_o principal_a wind_n to_o the_o end_n that_o you_o may_v know_v they_o and_o those_o that_o be_v next_o they_o and_o then_o in_o like_a manner_n make_v another_o round_a and_o slender_a table_n as_o big_a as_o the_o innermost_a circle_n of_o those_o two_o which_o you_o draw_v in_o the_o first_o table_n and_o divide_v it_o into_o thirty_o equal_a part_n first_o into_o two_o by_o a_o line_n divide_v it_o in_o the_o midst_n and_o then_o either_o of_o those_o two_o into_o three_o and_o every_o of_o those_o three_o into_o five_o these_o division_n will_v represent_v the_o day_n of_o the_o moon_n and_o leave_v upon_o 1_o of_o those_o part_n a_o index_n or_o small_a point_n which_o may_v reach_v without_o the_o circle_n set_v down_o the_o number_n thereof_o beginning_n with_o 30_o in_o that_o part_n where_o that_o point_n end_v and_o the_o number_n of_o 1_o in_o the_o line_n follow_v towards_o the_o left_a hand_n and_o then_o 2_o etc._n etc._n till_o you_o end_n at_o the_o same_o point_n with_o 30_o this_o be_v do_v fasten_v with_o a_o thread_n or_o nail_n the_o second_o table_n or_o circle_n upon_o the_o centre_n of_o the_o first_o so_o that_o it_o may_v free_o without_o impediment_n turn_v round_o about_o the_o use_n of_o this_o instrument_n the_o use_n of_o this_o instrument_n be_v that_o know_v in_o every_o port_n or_o part_n of_o any_o coast_n the_o rumb_n or_o quarter_n on_o which_o the_o moon_n make_v full_a sea_n or_o high_a water_n you_o must_v note_v upon_o the_o outward_a circle_n of_o the_o wind_n that_o quarter_n or_o rumb_n and_o place_v the_o tooth_n or_o point_n of_o the_o inner_a circle_n be_v the_o number_n of_o 30_o be_v upon_o that_o quarter_n or_o rumb_n make_v it_o there_o fast_o put_v a_o little_a wax_n underneath_o that_o it_o may_v not_o move_v then_o account_v the_o day_n of_o the_o moon_n age_n in_o the_o inner_a circle_n and_o over_o against_o the_o end_n of_o your_o account_n you_o shall_v see_v in_o the_o uttermost_a circle_n the_o hour_n of_o the_o full_a sea_n of_o that_o day_n together_o with_o the_o rumb_n where_o the_o sun_n be_v at_o that_o hour_n and_o at_o the_o same_o hour_n when_o it_o be_v in_o the_o contrary_a part_n it_o will_v make_v a_o full_a sea_n the_o place_n of_o the_o moon_n at_o the_o hour_n of_o the_o tide_n be_v always_o either_o where_o the_o point_n be_v or_o at_o the_o point_n right_o over_o against_o it_o and_o hence_o you_o may_v easy_o find_v both_o ebb_n also_o this_o little_a instrument_n although_o it_o be_v but_o of_o small_a invention_n be_v of_o great_a use_n and_o profit_n for_o the_o navigation_n of_o flanders_n france_n england_n ireland_n and_o all_o the_o northern_a region_n where_o you_o have_v much_o variety_n in_o the_o tide_n chap._n xxxiiii_o of_o the_o make_n of_o a_o universal_a dial_n which_o may_v serve_v general_o all_o the_o world_n over_o draw_v upon_o a_o table_n or_o pastboord_n the_o circle_n abcd_v upon_o the_o centre_n e_o and_o half_o a_o finger_n breadth_n within_o that_o circle_n upon_o the_o same_o centre_n draw_v another_o circle_n and_o about_o the_o breadth_n of_o a_o wheat_n corn_n within_o the_o second_o circle_n draw_v a_o three_o and_o place_v your_o ruler_n upon_o the_o centre_n e_o by_o the_o right_a line_n ac_fw-la divide_v the_o two_o inner_a circle_n in_o the_o midst_n abc_n and_o cda_n in_o the_o point_n bd_o upon_o which_o and_o upon_o the_o centre_n e_o the_o ruler_n be_v place_v you_o may_v draw_v the_o line_n bd_o whereby_o every_o one_o of_o the_o foresay_a circle_n shall_v be_v divide_v into_o four_o equal_a part_n and_o divide_v every_o one_o of_o those_o four_o quadrant_n of_o the_o inner_a circle_n to_o wit_n ab_fw-la bc_n cd_o da_n into_o 90_o part_n as_o the_o manner_n be_v in_o the_o make_n of_o a_o astrolabe_n set_v number_n thereto_o from_o 5_o to_o 5._o begin_n your_o account_n from_o the_o two_o point_n ac_fw-la and_o so_o procede_v both_o way_n till_o you_o end_v your_o account_n in_o 90_o at_o the_o point_n bd_o and_o this_o inner_a circle_n thus_o divide_v represent_v the_o meridian_n and_o the_o point_n c_o be_v the_o north_n a_o the_o south_n and_o the_o point_n b_o d_o be_v those_o where_o the_o equinoctial_a cut_v the_o meridian_n then_o count_v 23_o degree_n and_o a_o half_a from_o the_o point_n b_o to_o f_o and_o to_o g_o on_o both_o side_n and_o so_o much_o account_n also_o from_o the_o point_n d_o to_o h_n and_o to_o i._o and_o then_o draw_v two_o right_a line_n fh_n and_o give_v the_o line_n fh_n shall_v represent_v the_o tropic_a of_o cancer_n and_o give_v the_o tropic_a of_o capricorn_n and_o those_o two_o line_n shall_v cut_v the_o line_n ca_n which_o be_v the_o axtree_n of_o the_o world_n and_o the_o circle_n of_o six_o of_o the_o clock_n in_o the_o morning_n and_o evening_n upon_o the_o point_v lm_o then_o count_v fifteen_o degree_n from_o c_o towards_o b_o and_o other_o fifteeen_n from_o a_o towards_o b_o and_o place_v your_o ruler_n on_o either_o side_n upon_o the_o end_n of_o your_o account_n you_o shall_v cut_v the_o equinoctial_a bd_o upon_o a_o certain_a point_n which_o shall_v represent_v unto_o you_o seven_o a_o clock_n in_o the_o morning_n and_o five_o of_o the_o clock_n at_o evening_n and_o count_v other_o fifteen_o degree_n on_o both_o side_n more_o towards_o the_o point_n b_o and_o place_v
the_o ruler_n as_o before_o you_o shall_v cut_v the_o line_n bd_o in_o another_o point_n which_o shall_v represent_v eight_o of_o the_o clock_n in_o the_o morning_n and_o four_o in_o the_o afternoon_n and_o account_v high_o fifteen_o degree_n more_o one_o both_o side_n and_o place_v your_o ruler_n upon_o the_o end_n of_o your_o account_n it_o will_v divide_v the_o line_n bd_o at_o another_o point_n which_o shall_v be_v nine_o a_o clock_n in_o the_o morning_n and_o three_o in_o the_o afternoon_n and_o so_o you_o shall_v proceed_v from_o fifteen_o to_o fifteen_o degree_n till_o you_o come_v to_o eleven_o of_o the_o clock_n in_o the_o morning_n and_o one_o in_o the_o afternoon_n and_o if_o you_o will_v have_v the_o half_a hour_n also_o you_o must_v account_v from_o seven_o degree_n and_o a_o half_a to_o seven_o and_o a_o half_a and_o do_v as_o you_o do_v with_o the_o fifteen_o degree_n you_o shall_v have_v the_o half_a hour_n also_o then_o place_v your_o compass_n upon_o the_o centre_n e_o and_o upon_o every_o division_n of_o the_o line_n ebb_v you_o shall_v draw_v the_o same_o division_n likewise_o upon_o the_o line_n ed_z which_o be_v do_v draw_z certain_z obscure_a line_n from_o the_o point_n a_o to_o the_o division_n of_o the_o line_n ebb_v and_o draw_v the_o right_a line_n gf_n see_v where_o gf_n be_v cut_v at_o the_o high_a of_o the_o obscure_a line_n which_o must_v be_v at_o the_o point_n n_o from_o whence_o the_o line_n no_o be_v to_o be_v draw_v equal_o distant_a from_o the_o line_n be._n and_o this_o line_n no_o shall_v be_v divide_v proportional_o by_o the_o obscure_a line_n even_o as_o the_o line_n be._n then_o let_v the_o division_n of_o the_o line_n no_o be_v transfer_v into_o the_o line_n mg_n mi_fw-mi lf_n lh_n and_o then_o the_o tropic_n also_o shall_v be_v divide_v then_o by_o every_o three_o point_n answerable_a in_o the_o equinoctial_a and_o the_o two_o tropic_n you_o shall_v draw_v certain_a part_n of_o circle_n seek_v the_o centre_n of_o those_o three_o point_n in_o the_o equinoctial_a line_n extend_v forth_o on_o either_o side_n and_o these_o part_n of_o circle_n represent_v the_o hour_n then_o make_v a_o account_n of_o the_o degr_n of_o declination_n from_o the_o point_n b_o and_o from_o d_o on_o both_o side_n by_o every_o 2_o degr_n and_o draw_v line_n parallel_v to_o the_o equinoctial_a from_o one_o to_o another_o and_o those_o shall_v be_v the_o parallel_n of_o the_o sun_n declination_n moreover_o you_o shall_v make_v a_o horizon_n as_o large_a as_o the_o diameter_n of_o the_o inner_a circle_n which_o shall_v be_v divide_v after_o this_o manner_n count_n from_o the_o point_n ac_fw-la towards_o b_o five_o degree_n and_o put_v your_o ruler_n upon_o the_o end_n of_o the_o account_n of_o both_o part_n see_v where_o it_o cut_v the_o line_n ebb_n and_o there_o make_v a_o mark_n and_o then_o count_v on_o both_o side_n other_o five_o degree_n and_o put_v the_o ruler_n once_o again_o at_o the_o end_n of_o your_o account_n make_v another_o mark_n where_o it_o cut_v the_o line_n ebb_n and_o so_o the_o line_n ebb_n must_v be_v divide_v from_o five_o to_o five_o degree_n which_o division_n shall_v be_v remove_v into_o the_o say_a horizon_n fasten_v it_o to_o the_o centre_n and_o lay_v it_o to_o the_o line_n bd_o and_o divide_v it_o both_o way_n as_o the_o line_n ebb_n be_v divide_v and_o set_v number_n thereinto_o from_o 5_o to_o 5_o which_o may_v begin_v in_o the_o midst_n and_o end_n with_o 90_o at_o the_o end_n of_o the_o horizon_n and_o let_v every_o one_o of_o these_o part_n be_v divide_v into_o five_o other_o part_n or_o degree_n then_o account_v from_o the_o centre_n e_o in_o the_o horizon_n eleven_o degree_n and_o ¼_n you_o shall_v set_v there_o a_o mark_n which_o shall_v be_v the_o seven_o point_n from_o north_n and_o south_n that_o be_v it_o shall_v represent_v the_o point_n which_o be_v next_o to_o the_o east_n and_o west_n in_o the_o compass_n and_o account_v another_o eleven_o degree_n and_o a_o quarter_n and_o make_v there_o a_o mark_n it_o shall_v represent_v the_o six_o point_n from_o north_n and_o south_n and_o so_o you_o must_v do_v with_o the_o other_o point_n and_o then_o your_o instrument_n be_v finish_v chap._n xxxv_o of_o the_o part_n of_o this_o instrument_n in_o this_o instrument_n the_o first_o thing_n be_v a_o circle_n divide_v into_o 360_o degree_n which_o be_v the_o meridian_n and_o the_o line_n of_o twelve_o a_o clock_n the_o second_o be_v the_o right_a line_n of_o which_o that_o in_o the_o midst_n be_v the_o equinoctial_a and_o the_o two_o other_o be_v the_o tropic_n of_o cancer_n and_o capricorn_n and_o the_o other_o line_n between_o those_o be_v the_o parallel_n of_o the_o sun_n declination_n which_o have_v their_o number_n agreeable_a to_o they_o and_o those_o that_o be_v between_o the_o equinoctial_a and_o the_o tropic_a of_o cancer_n do_v serve_v from_o the_o 11_o of_o march_n to_o the_o 13_o of_o september_n and_o the_o other_o for_o the_o residue_n of_o the_o year_n the_o crooked_a line_n which_o cross_v those_o parallel_n be_v the_o hour_n line_n and_o the_o point_n of_o the_o meridian_n which_o in_o 90_o degree_n distant_a from_o the_o equinoctial_a towards_o the_o left_a hand_n be_v the_o north_n pole_n and_o the_o point_n opposite_a to_o that_o be_v the_o south_n pole_n in_o the_o horizon_n there_o be_v first_o the_o degree_n and_o then_o the_o point_n of_o the_o compass_n distinguish_v by_o the_o small_a prick_v line_n chap._n xxxvi_o how_o you_o may_v know_v what_o a_o clock_n it_o be_v by_o this_o instrument_n at_o any_o time_n of_o the_o day_n when_o you_o will_v know_v what_o a_o clock_n it_o be_v take_v the_o height_n of_o the_o sun_n with_o your_o astrolabe_n and_o seek_v the_o table_n of_o the_o sun_n declination_n what_o declination_n it_o have_v the_o same_o day_n and_o the_o height_n of_o the_o pole_n which_o a_o good_a mariner_n know_v at_o all_o time_n because_o he_o must_v direct_v his_o course_n thereby_o this_o be_v know_v place_v the_o horizon_n instrument_n on_o the_o one_o side_n under_o the_o north_n and_o on_o the_o other_o side_n above_o the_o south_n so_o many_o degree_n as_o his_o distance_n from_o the_o equinoctial_a be_v the_o same_o day_n and_o fasten_v it_o there_o with_o a_o little_a wax_n that_o it_o may_v not_o move_v then_o count_v in_o the_o meridian_n on_o either_o side_n from_o the_o horizon_n which_o now_o stand_v firm_a the_o height_n of_o the_o sun_n above_o the_o horizon_n take_v with_o your_o astrolabe_n and_o by_o the_o end_n of_o the_o account_n draw_v a_o line_n or_o thread_n overthwart_o which_o shall_v be_v equal_o distant_a from_o the_o horizon_n then_o reckon_v the_o sun_n declination_n in_o the_o parallel_n begin_v from_o the_o equinoctial_a of_o the_o instrument_n that_o way_n which_o the_o sun_n decline_v and_o mark_v the_o line_n or_o parallel_v at_o which_o the_o account_n of_o the_o declination_n end_v where_o and_o at_o what_o hour_n it_o be_v cross_v by_o the_o thread_n for_o that_o hour_n be_v the_o hour_n of_o the_o day_n but_o note_v this_o that_o if_o the_o cross_n of_o the_o thread_n and_o parallel_n do_v fall_v upon_o the_o division_n of_o the_o parallel_n and_o of_o the_o hour_n it_o be_v a_o just_a hour_n but_o if_o it_o fall_v beside_o the_o common_a meeting_n of_o the_o parallel_n and_o of_o the_o hour-line_n upon_o that_o side_n where_o it_o fall_v see_v how_o much_o more_o there_o be_v then_o a_o hour_n whether_o ¼_n or_o 1_o â—_o or_o ½_o etc._n etc._n now_o although_o every_o hour_n line_n have_v two_o number_n one_o of_o the_o morning_n and_o another_o of_o the_o afternoon_n yet_o it_o be_v a_o easy_a matter_n to_o distinguish_v which_o of_o they_o will_v serve_v your_o turn_n if_o you_o know_v whether_o your_o observation_n be_v before_o high_a noon_n or_o after_o which_o be_v to_o be_v know_v by_o your_o astrolabe_n for_o if_o the_o sun_n ascend_v it_o be_v before_o noon_n but_o if_o it_o descend_v it_o be_v afternoon_n chap._n xxxvii_o of_o the_o variation_n of_o the_o compass_n by_o this_o instrument_n if_o you_o will_v know_v by_o this_o instrument_n the_o variation_n of_o the_o compass_n you_o must_v do_v thus_o when_o the_o sun_n rise_v or_o go_v down_o at_o the_o horizon_n observe_v he_o with_o your_o compass_n note_v very_o diligent_o upon_o what_o rumb_n and_o part_n of_o the_o rumb_n he_o rise_v or_o fall_v and_o if_o the_o compass_n be_v divide_v into_o 360_o part_n begin_v to_o reckon_v they_o from_o the_o east_n and_o from_o the_o west_n on_o either_o side_n and_o end_v in_o the_o north_n and_o south_n with_o 90_o degree_n it_o shall_v be_v the_o fit_a for_o this_o purpose_n because_o than_o you_o shall_v see_v