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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
end_n breadth_n foot_n inch_n 1,538 5 11.4400 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A67154 Certain errors in navigation detected and corrected by Edw. Wright ; with many additions that were not in the former editions. Wright, Edward, 1558?-1615. 1657 (1657) Wing W3689; ESTC R16243 281,730 362

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or_o semidiameter_n of_o the_o circle_n be_v suppose_v to_o contain_v 10,000_o may_v serve_v for_o all_o such_o purpose_n for_o which_o the_o table_n of_o secans_fw-la may_v be_v use_v moreover_o as_o it_o serve_v for_o the_o make_n of_o the_o second_o column_n of_o the_o table_n of_o latitude_n as_o before_o be_v show_v in_o the_o second_o chapter_n page_n 11_o and_o 12_o so_o may_v it_o be_v of_o needful_a use_n for_o the_o more_o easy_a examination_n and_o correction_n thereof_o if_o any_o error_n have_v be_v commit_v therein_o hereby_o also_o may_v be_v know_v very_o exact_o the_o proportion_n of_o any_o parallel_n to_o the_o equinoctial_a for_o what_o proportion_n the_o difference_n answerable_a to_o any_o degree_n and_o minute_n in_o this_o table_n have_v to_o 10000_o the_o same_o proportion_n have_v the_o equinoctial_a to_o the_o parallel_n answer_v to_o that_o degree_n and_o minute_n the_o difference_n answerable_a to_o any_o degree_n and_o minute_n be_v that_o which_o be_v place_v next_o above_o the_o line_n of_o the_o same_o minute_n and_o consequent_o because_o the_o like_a part_n of_o circle_n be_v proportional_a to_o their_o whole_n you_o may_v hereby_o very_o easy_o and_o true_o find_v out_o how_o many_o league_n any_o arch_n of_o any_o parallel_n contain_v for_o as_o the_o difference_n answerable_a to_o the_o latitude_n of_o the_o parallel_n be_v to_o 10,000_o so_o be_v the_o minute_n contain_v in_o that_o arch_n to_o the_o mile_n thereof_o which_o divide_v by_o 3_o give_v the_o league_n as_o for_o example_n if_o you_o will_v know_v how_o many_o league_n make_v a_o degree_n in_o the_o parallel_n of_o london_n who_o latitude_n be_v 51_o degree_n 32_o minute_n as_o 16,075_o the_o difference_n answer_v to_o that_o latitude_n page_n 26_o be_v to_o 10,000_o so_o be_v 20_o the_o number_n of_o league_n contain_v in_o one_o degree_n of_o the_o equinoctial_a to_o 12_o 294_o ●43_n the_o number_n of_o league_n make_v one_o degree_n in_o the_o parallel_n of_o london_n thus_o the_o difference_n of_o longitude_n in_o any_o parallel_n be_v give_v in_o degree_n may_v easy_o be_v reduce_v into_o league_n multiply_v the_o same_o by_o the_o league_n contain_v in_o one_o degree_n but_o it_o may_v be_v do_v easy_a by_o multiply_v the_o difference_n of_o longitude_n reduce_v into_o minute_n by_o 10,000_o and_o divide_v the_o product_n by_o the_o difference_n of_o equal_a part_n in_o the_o table_n of_o latitude_n answerable_a to_o the_o latitude_n of_o the_o parallel_n wherein_o that_o difference_n of_o longitude_n be_v take_v for_o then_o the_o quotient_n show_v the_o mile_n in_o the_o difference_n of_o longitude_n which_o be_v divide_v by_o 3_o you_o have_v the_o league_n as_o for_o example_n admit_v the_o difference_n of_o longitude_n between_o the_o lizard_n and_o fayal_n be_v 22_o degree_n 52_o minute_n that_o be_v 1372_o minute_n which_o multiply_v by_o 10,000_o make_v 13,720,000_o and_o this_o divide_a by_o 12,898_o which_o be_v the_o difference_n of_o the_o equal_a part_n answerable_a to_o 39_o degree_n 10_o minute_n the_o latitude_n of_o the_o north-east_n corner_n of_o fayal_n island_n shall_v give_v you_o 1064_o mile_n almost_o that_o be_v 354_o ⅔_n league_n the_o difference_n of_o their_o longitude_n count_v in_o the_o parallel_n of_o fayal_n moreover_o by_o the_o difference_n set_v down_o in_o the_o three_o column_n may_v easy_o be_v find_v the_o sine_fw-la of_o any_o arch_n of_o the_o quadrant_a for_o as_o the_o difference_n answerable_a to_o any_o arch_n or_o number_n of_o degree_n and_o minute_n in_o this_o table_n be_v to_o 10,000_o so_o be_v 10,000_o to_o the_o sine_fw-la of_o the_o same_o arch_n the_o demonstration_n hereof_o may_v easy_o be_v conceive_v out_o of_o the_o diagramme_n set_v down_o in_o the_o second_o chapter_n page_n 11_o wherein_o ik_a to_o fk_v and_o ak_v to_o gk_v that_o be_v ae_z have_v all_o one_o and_o the_o same_o proportion_n and_o therefore_o it_o shall_v here_o be_v needless_a any_o further_a to_o insist_v hereupon_o chap._n viii_o how_o to_o describe_v the_o rumbe_n mechanical_o in_o any_o sea-chart_n globe_n or_o map_n of_o what_o form_n soever_o now_o because_o the_o nautical_a planisphaere_n as_o before_o have_v be_v show_v be_v nothing_o else_o but_o a_o plain_a parallellogramme_n superficies_n make_v by_o extension_n of_o a_o spherical_a superficies_n inscribe_v into_o a_o concave_n cylinder_n wherein_o the_o tumbe_n make_v equal_a angle_n with_o very_a meridian_n therefore_o in_o this_o nautical_a planisphaere_n if_o a_o circle_n be_v draw_v and_o divide_v into_o 32_o equal_a part_n begin_v at_o the_o meridian_n pass_v by_o the_o centre_n of_o that_o circle_n right_a line_n draw_v from_o the_o centre_n by_o those_o division_n shall_v be_v the_o rumbe_n or_o line_n which_o the_o ship_n describe_v in_o sail_v upon_o those_o point_n because_o they_o make_v equal_a angle_n with_o every_o meridian_n of_o the_o nautical_a planisphaere_n those_o meridian_n be_v every_o where_o equidistant_a one_o from_o another_o example_n hereof_o you_o have_v in_o the_o former_a figure_n and_o in_o the_o charts_n adjoin_v hereunto_o by_o help_v of_o this_o planisphaere_n with_o the_o meridian_n rumbe_n and_o parallel_n thus_o describe_v therein_o the_o rumbe_n may_v much_o more_o easy_o and_o true_o be_v draw_v in_o the_o globe_n then_o by_o those_o mechanical_a way_n which_o petrus_n nonius_n teach_v cap._n 26._o lib_n 2._o the_o obser_n reg._n &_o instr._n geom._n hereby_o also_o they_o may_v with_o no_o less_o facility_n be_v inscribe_v into_o any_o other_o chart_n or_o map_n of_o what_o form_n or_o projection_n soever_o if_o it_o be_v first_o divide_v by_o meridian_n and_o parallel_n into_o degree_n of_o longitude_n and_o latitude_n for_o by_o what_o point_v of_o longitude_n and_o latitude_n in_o this_o planisphaere_n the_o rumbe_n be_v describe_v by_o the_o same_o point_n must_v
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 be_v perform_v by_o mean_n of_o a_o instrument_n by_o i_o divise_v which_o may_v not_o unfit_o be_v call_v the_o sea-quadrant_n the_o description_n and_o use_n whereof_o here_o follow_v the_o figure_n of_o the_o sea-quadrant_a chap._n xxxv_o the_o description_n and_o part_n of_o the_o sea-quadrant_n this_o quadrant_n consist_v of_o many_o part_n whereof_o some_o may_v be_v call_v principal_a and_o some_o less_o principal_a the_o principal_a part_n of_o this_o quadrant_n be_v the_o semidiameter_n thereof_o and_o the_o archippus_n the_o semidiameter_n i_o call_v the_o straight_a square_a ruler_n the_o arch_n i_o call_v that_o part_n of_o the_o quadrant_n that_o be_v make_v crooked_a like_o a_o bow_n the_o less_o principal_a part_n be_v the_o double_a box_n or_o ●ocket_n and_o the_o sight_n or_o vane_n the_o double_a box_n or_o socket_n have_v two_o square_a hole_n make_v crosse-wise_a through_o it_o in_o such_o sort_n that_o the_o arch_n and_o semidiameter_n of_o the_o quadrant_n may_v be_v fit_o put_v through_o they_o the_o flat_a side_n of_o the_o one_o pass_v close_o by_o the_o flat_a side_n of_o the_o other_o by_o mean_n of_o this_o double_a cross_a socket_n the_o arch_n and_o semidiameter_n of_o the_o quadrant_n be_v so_o to_o be_v join_v together_o that_o the_o two_o angle_n make_v by_o the_o hollow_a side_n of_o the_o arch_n with_o the_o semidiameter_n may_v be_v equal_a each_o to_o other_o the_o sight_n or_o vane_n be_v either_o fix_v or_o movable_a there_o be_v two_o fix_a sight_n the_o one_o great_a the_o other_o lesser_a the_o great_a fix_v sight_n be_v fasten_v upon_o the_o double_a socket_n and_o have_v a_o narrow_a slit_n cut_v through_o the_o midst_n thereof_o the_o lesser_a fix_v sight_n be_v fasten_v to_o the_o end_n of_o the_o arch_n of_o the_o quadrant_n and_o have_v a_o small_a sight-hole_n bore_v through_o it_o even_o with_o the_o end_n of_o the_o archippus_n the_o movable_a sight_n be_v three_o in_o number_n whereof_o two_o be_v to_o be_v move_v up_o and_o down_o upon_o the_o arch_n of_o the_o quadrant_n as_o need_n shall_v require_v for_o observation_n the_o three_o be_v to_o be_v put_v on_o or_o take_v off_o that_o end_n of_o the_o semidiameter_n of_o the_o quadrant_n where_o the_o centre_n be_v which_o centre_n be_v show_v by_o the_o little_a round_a hole_n bore_v overthwart_o through_o the_o midst_n of_o the_o thickness_n of_o the_o square_a ruler_n near_o the_o end_n thereof_o which_o ruler_n we_o call_v the_o semidiameter_n of_o the_o quadrant_n this_o sight_n whensoever_o it_o be_v to_o be_v use_v must_v so_o be_v put_v on_o upon_o the_o end_n of_o that_o ruler_n that_o the_o flat_a side_n thereof_o which_o must_v be_v set_v towards_o the_o arch_n of_o the_o quadrant_n may_v divide_v the_o foresay_a round_a hole_n even_o by_o the_o midst_n thereof_o the_o sharp_a edge_n of_o that_o sight_n arise_v perpendicular_o from_o the_o very_a midst_n or_o centre_n of_o that_o hole_n which_o be_v also_o the_o centre_n of_o the_o quadrant_n when_o the_o other_o end_n of_o the_o square_a ruler_n or_o semidiameter_n thereof_o be_v put_v into_o his_o socket_n be_v thrust_v so_o far_o forward_o that_o the_o end_n thereof_o come_v to_o be_v even_o with_o the_o fore-end_n of_o the_o socket_n two_o side_n of_o the_o arch_n of_o the_o quadrant_n that_o be_v to_o say_v one_o of_o the_o straight_a or_o plain_a side_n and_o the_o hollow_a side_n thereof_o be_v divide_v into_o 90_o degree_n and_o every_o degree_n into_o 6_o part_n each_o part_n contain_v 10_o min._n and_o upon_o the_o straight_a side_n of_o the_o quadrant_n there_o be_v figure_n set_v to_o every_o five_o degree_n and_o that_o in_o two_o rank_n or_o limb_n the_o one_o beginning_n from_o that_o end_n of_o the_o arch_n where_o the_o small_a fix_a sight_n be_v place_v the_o other_o beginning_n and_o proceed_v from_o the_o other_o end_n of_o the_o arch_n where_o the_o nocturnal_a be_v to_o be_v fasten_v or_o put_v on_o that_o so_o the_o number_n of_o the_o 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 day_n you_o desire_v may_v the_o easy_o be_v find_v the_o small_a division_n contain_v but_o one_o day_n apiece_o the_o line_n show_v the_o beginning_n and_o end_n of_o the_o month_n be_v draw_v overthwart_o the_o whole_a breadth_n of_o this_o circle_n the_o beginning_n of_o january_n be_v know_v by_o the_o two_o line_n draw_v near_o together_o overthwart_a this_o circle_n whereof_o one_o show_v the_o end_n of_o the_o month_n of_o december_n and_o the_o other_o show_v the_o beginning_n of_o the_o month_n of_o january_n which_o be_v mark_v with_o two_o prick_n february_n be_v easy_o know_v in_o this_o circle_n because_o it_o have_v but_o only_o 28_o day_n march_n be_v by_o the_o little_a polestar_n circle_n and_o so_o all_o the_o rest_n of_o the_o month_n may_v easy_o be_v know_v by_o their_o order_n upon_o the_o centre_n of_o this_o arch_n which_o represent_v the_o pole_n of_o the_o world_n there_o be_v two_o indices_fw-la fasten_v the_o long_a of_o they_o may_v be_v call_v the_o guard-index_n whereto_o a_o short_a pin_n be_v fasten_v underneath_o which_o serve_v to_o set_v this_o index_n right_a upon_o the_o place_n of_o the_o middle_a guard_n in_o the_o day-circle_n by_o put_v it_o into_o the_o small_a hole_n that_o there_o be_v make_v in_o that_o circle_n the_o short_a index_n reach_v from_o the_o centre_n of_o the_o day-circle_n unto_o the_o limb_n or_o circumference_n thereof_o that_o be_v divide_v into_o day_n may_v be_v call_v the_o day-index_n this_o small_a circle_n place_v between_o the_o centre_n of_o the_o day-circle_n and_o the_o month_n of_o march_n may_v not_o unfit_o be_v call_v the_o polestar_n circle_n because_o the_o distance_n of_o the_o centre_n thereof_o from_o the_o centre_n of_o the_o day-circle_n be_v answerable_a to_o the_o distance_n of_o the_o polestar_n from_o the_o pole_n which_o at_o this_o time_n i_o have_v often_o find_v by_o exact_a observation_n not_o to_o be_v more_o than_o 2_o degree_n and_o 48_o minute_n chap._n xxxvii_o 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
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
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