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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
day_n moon_n point_n quarter_n 6,330 5 11.8068 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A13348 A very necessarie and profitable booke concerning nauigation, compiled in Latin by Ioannes Taisnierus, a publice professor in Rome, Ferraria, & other uniuersities in Italie of the mathematicalles, named a treatise of continuall motions. Translated into Englishe, by Richard Eden. The contents of this booke you shall finde on the next page folowyng Taisnier, Jean, 1508-ca. 1562.; Eden, Richard, 1521?-1576. 1575 (1575) STC 23659; ESTC S101247 53,484 76

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attraction_n of_o the_o fall_n draw_v down_o with_o it_o sudden_o the_o ship_n or_o ship_n which_o at_o that_o time_n approach_v near_o unto_o the_o place_n of_o that_o whyrelepoole_n furthermore_o any_o ignorant_a man_n will_v hardly_o believe_v that_o the_o salt_n water_n of_o the_o sea_n may_v be_v make_v fresh_a and_o potable_a to_o be_v drink_v which_o nevertheless_o may_v be_v do_v natural_o as_o have_v be_v often_o prove_v divers_a way_n fresh_a some_o do_v this_o as_o be_v write_v in_o gemma_fw-la philosophica_fw-la put_v the_o salt_n water_n in_o a_o vessel_n playstered_a or_o crust_v over_o with_o clean_a wax_n which_o distil_a through_o the_o straight_o and_o narrow_n pore_n thereof_o leave_v the_o salt_n way_n which_o for_o his_o grossness_n can_v not_o pass_v thereby_o the_o same_o may_v be_v do_v better_a by_o a_o canon_n or_o pipe_n fill_v with_o gravel_n or_o little_a stone_n and_o that_o the_o salt_n water_n pour_v thereon_o may_v diverse_a time_n pass_v through_o that_o pipe_n into_o a_o other_o vessel_n ¶_o of_o the_o flow_v and_o reflow_a that_o be_v increase_n and_o decrease_v of_o the_o sea_n with_o the_o cause_n thereof_o more_o exact_o than_o hitherto_o have_v be_v declare_v by_o any_o whereas_o heretofore_o mention_n have_v be_v make_v of_o the_o sea_n and_o flow_a of_o water_n and_o diverse_a other_o motion_n it_o may_v be_v convenient_a to_o add_v hereunto_o the_o say_n and_o writing_n of_o the_o most_o expert_a and_o learned_a man_n fredericus_fw-la delphinus_n doctor_n of_o art_n and_o physic_n and_o public_a professor_n of_o mathematical_a science_n in_o the_o famous_a university_n of_o milan_n touch_v the_o flow_a &_o reflow_a or_o increase_v and_o decrease_v otherwise_o also_o name_v access_n and_o recess_n that_o be_v come_n and_o go_v or_o ebb_v and_o flow_v of_o the_o water_n of_o the_o sea_n which_o flow_a and_o reflow_a some_o do_v also_o name_n the_o false_a rest_n or_o quietness_n or_o inordinate_a motion_n of_o the_o 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rest●wing_v as_o we_o have_v say_v before_o and_o when_o he_o sun_n by_o the_o motion_n of_o the_o first_o movable_a shall_v come_v to_o the_o strong_a point_n of_o reflow_a in_o the_o day_n quarter_n of_o reflow_a the_o moon_n by_o the_o same_o motion_n of_o the_o first_o movable_a shall_v be_v depart_v so_o much_o from_o the_o strong_a point_n of_o flow_a in_o the_o day_n quarter_n of_o flow_a come_n toward_o the_o weak_a point_n of_o the_o south_n reflow_a and_o then_o the_o moon_n shall_v be_v more_o distant_a from_o the_o strong_a point_n of_o flow_a then_o the_o sun_n from_o the_o strong_a point_n of_o reflow_a and_o so_o the_o sun_n shall_v be_v strong_a than_o the_o moon_n and_o therefore_o then_o shall_v begin_v the_o reflow_a and_o shall_v continue_v accord_v that_o the_o sun_n shall_v approach_v to_o the_o strong_a point_n of_o the_o reflow_a in_o the_o day_n quarter_n of_o reflow_a and_o the_o moon_n shall_v be_v depart_v from_o the_o strong_a point_n of_o the_o flow_a in_o the_o quarter_n of_o the_o day_n flow_a and_o when_o the_o son_n shall_v come_v to_o the_o strong_a point_n of_o the_o reflow_a the_o moon_n shall_v be_v depart_v from_o the_o strong_a point_n of_o the_o flow_a and_o therefore_o the_o reflow_a shall_v yet_o continue_v and_o when_o the_o moon_n shall_v come_v to_o the_o weak_a point_n of_o the_o south_n reflow_a the_o sun_n shall_v be_v depart_v from_o the_o strong_a point_n of_o the_o reflow_a in_o the_o day_n quarter_n of_o the_o reflow_a come_n towards_o the_o weak_a point_n of_o the_o west_n flow_a yet_o shall_v the_o sun_n be_v less_o distant_a from_o the_o strong_a point_n of_o the_o reflow_a then_o the_o moon_n from_o the_o strong_a point_n of_o
the_o flow_a and_o therefore_o the_o reflow_a shall_v yet_o continue_v and_o when_o the_o sun_n shall_v come_v to_o the_o weak_a point_n of_o the_o west_n flow_a the_o moon_n shall_v be_v near_a to_o the_o strong_a point_n of_o reflow_a which_o be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o reflow_a and_o shall_v be_v less_o distant_a from_o it_o than_o the_o sun_n from_o the_o strong_a point_n of_o the_o flow_a which_o be_v under_o the_o horizon_n in_o the_o night_n quarter_n of_o flow_a because_o she_o be_v distant_a from_o the_o sun_n less_o than_o a_o quarter_n or_o four_o part_n of_o heaven_n therefore_o the_o reflow_a shall_v yet_o continue_v until_o the_o sun_n shall_v be_v so_o much_o under_o the_o horizon_n on_o the_o west_n part_n in_o the_o quarter_n of_o the_o night_n flow_a how_o much_o the_o moon_n be_v above_o the_o horizon_n on_o the_o same_o part_n of_o the_o west_n in_o the_o day_n quarter_n of_o reflow_a and_o because_o then_o the_o sun_n shall_v be_v so_o much_o distant_a from_o the_o strong_a point_n of_o the_o flow_a which_o be_v under_o the_o horizon_n on_o the_o west_n part_n in_o the_o night_n quarter_n of_o flow_a as_o the_o moon_n from_o the_o strong_a point_n of_o reflow_a which_o be_v above_o the_o horizon_n on_o that_o part_n of_o the_o west_n in_o the_o day_n quarter_n of_o reflow_a then_o the_o sun_n and_o the_o moon_n shall_v be_v equipollent_a that_o be_v of_o equal_a strength_n and_o virtue_n and_o so_o shall_v there_o be_v neither_o flow_a nor_o reflow_a but_o when_o the_o sun_n by_o the_o move_a of_o the_o first_o movable_a shall_v come_v to_o the_o strong_a point_n of_o the_o flow_a which_o be_v under_o the_o horizon_n in_o the_o night_n quarter_n of_o the_o flow_a the_o moon_n by_o the_o same_o move_a of_o the_o first_o movable_a shall_v be_v depart_v as_o much_o from_o the_o strong_a point_n of_o reflow_a which_o be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o reflow_a and_o then_o the_o sun_n shall_v be_v less_o distant_a from_o the_o strong_a point_n of_o flow_a in_o the_o night_n quarter_n of_o the_o flow_a then_o the_o moon_n from_o the_o strong_a point_n of_o reflow_a in_o the_o day_n quarter_n of_o reflow_a and_o therefore_o the_o sun_n shall_v be_v strong_a than_o the_o moon_n and_o then_o again_o shall_v begin_v the_o flow_a and_o shall_v continue_v as_o be_v say_v before_o until_o the_o sun_n be_v so_o much_o beyond_o midnight_n toward_o the_o east_n in_o the_o night_n quarter_n of_o reflow_a how_o much_o the_o moon_n on_o this_o side_n midnight_n towards_o the_o west_n in_o the_o night_n quarter_n of_o flow_a and_o then_o the_o sun_n shall_v be_v so_o much_o distant_a from_o the_o strong_a point_n of_o the_o reflow_a as_o the_o moon_n from_o the_o strong_a point_n of_o the_o flow_a and_o then_o incontinent_a the_o sun_n and_o the_o moon_n shall_v be_v of_o equal_a strength_n and_o there_o shall_v be_v neither_o flow_a nor_o reflow_a but_o when_o the_o sun_n by_o the_o move_a of_o the_o first_o movable_a come_v to_o the_o strong_a point_n of_o the_o reflow_a in_o the_o night_n quarter_n of_o reflow_a the_o moon_n by_o the_o same_o move_a of_o the_o first_o movable_a go_v back_o &_o be_v depart_v as_o much_o from_o the_o strong_a point_n of_o the_o flow_a 〈◊〉_d night_n quarter_n of_o the_o flow_a come_v to_o the_o weak_a point_n of_o midnight_n reflow_a and_o then_o the_o sun_n shall_v be_v less_o distant_a from_o the_o strong_a point_n of_o the_o reflow_a in_o the_o night_n quarter_n of_o the_o flow_a then_o the_o moon_n from_o the_o strong_a point_n of_o flow_v in_o the_o night_n quarter_n of_o flow_a and_o then_o shall_v the_o flow_a be_v weaken_v and_o the_o reflow_a strengthen_v and_o the_o water_n of_o the_o sea_n shall_v then_o again_o begin_v to_o reflowe_v which_o reflow_a shall_v continue_v as_o be_v say_v before_o until_o the_o sun_n be_v so_o much_o above_o the_o horizon_n on_o the_o east_n part_n how_o much_o the_o moon_n under_o the_o horizon_n on_o the_o same_o part_n of_o the_o east_n and_o then_o the_o sun_n shall_v be_v so_o much_o distant_a from_o the_o strong_a point_n of_o the_o flow_a which_o be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o the_o flow_a how_o much_o the_o moon_n from_o the_o strong_a point_n of_o the_o reflow_a which_o be_v under_o the_o horizon_n in_o the_o night_n quarter_n of_o the_o reflow_a and_o then_o the_o sun_n and_o moon_n again_o shall_v be_v of_o equal_a strength_n and_o there_o shall_v be_v neither_o flow_a nor_o reflow_a then_o daily_o that_o be_v to_o say_v in_o every_o natural_a day_n shall_v return_v the_o like_a change_n to_o this_o aforesaid_a until_o the_o moon_n by_o her_o proper_a motion_n shall_v come_v to_o her_o first_o quadrature_n with_o the_o sun_n which_o the_o pilotte_n or_o mariner_n venetian_n call_v il_fw-fr quartirone_n as_o i_o have_v say_v before_o flow_a and_o when_o the_o moon_n shall_v come_v to_o her_o first_o quadrature_n with_o the_o sun_n then_o when_o the_o sun_n shall_v be_v in_o the_o weak_a point_n of_o the_o east_n for_o the_o flow_a the_o moon_n shall_v be_v in_o the_o weak_a point_n of_o midnight_n for_o the_o reflow_a and_o then_o the_o sun_n shall_v be_v so_o much_o distant_a from_o the_o strong_a point_n of_o the_o flow_a which_o be_v above_o the_o horizon_n on_o the_o east_n part_n in_o the_o day_n quarter_n of_o the_o flow_a how_o much_o the_o moon_n from_o the_o strong_a point_n of_o reflow_a which_o be_v under_o the_o horizon_n of_o the_o same_o part_n of_o the_o east_n in_o the_o night_n quarter_n of_o the_o reflow_a and_o so_o the_o sun_n and_o the_o moon_n again_o shall_v be_v of_o equal_a force_n and_o power_n flow_a and_o there_o shall_v be_v neither_o flow_a nor_o reflow_a notable_a but_o only_o small_a increase_v and_o diminish_v and_o when_o the_o sun_n by_o the_o motion_n of_o the_o first_o movable_a shall_v come_v to_o the_o strong_a point_n of_o the_o flow_a which_o be_v above_o the_o horizon_n on_o the_o east_n part_n in_o the_o day_n quarter_n of_o the_o flow_a the_o moon_n by_o the_o same_o motion_n of_o the_o first_o movable_a shall_v come_v likewise_o so_o much_o to_o the_o strong_a point_n of_o the_o reflow_a which_o be_v under_o the_o horizon_n on_o the_o same_o part_n of_o the_o east_n in_o the_o night_n quarter_n of_o the_o reflow_a and_o continual_o to_o the_o diurnal_a or_o day_n motion_n the_o sun_n shall_v be_v distant_a so_o much_o from_o the_o strong_a point_n of_o flow_a which_o be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o the_o flow_a how_o much_o the_o moon_n from_o the_o strong_a point_n of_o reflow_a which_o be_v under_o the_o horizon_n in_o the_o night_n quarter_n of_o the_o reflow_a and_o continent_o the_o sun_n and_o moon_n shall_v be_v again_o of_o equal_a power_n until_o the_o sun_n by_o the_o move_a of_o the_o first_o movable_a shall_v come_v to_o the_o strong_a point_n of_o flow_a which_o be_v above_o the_o horizon_n and_o then_o likewise_o the_o moon_n shall_v come_v to_o the_o strong_a point_n of_o reflow_a which_o be_v under_o the_o horizon_n because_o these_o point_n be_v distant_a one_o from_o the_o other_o by_o a_o quarter_n of_o heaven_n as_o the_o sun_n and_o moon_n be_v distant_a from_o themselves_o by_o a_o quarter_n of_o he_o and_o when_o the_o sun_n by_o the_o motion_n of_o the_o first_o movable_a shall_v depart_v from_o the_o strong_a point_n of_o the_o flow_a which_o be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o the_o flow_a come_n toward_o the_o weak_a point_n of_o the_o south_n reflow_a the_o moon_n by_o the_o same_o motion_n of_o the_o first_o movable_a shall_v likewise_o depart_v as_o much_o from_o the_o strong_a point_n of_o the_o reflow_a which_o be_v under_o the_o horizon_n come_n toward_o the_o weak_a point_n of_o the_o east_n flow_a and_o the_o sun_n shall_v be_v continual_o distant_a so_o much_o from_o the_o strong_a point_n of_o flow_a which_o be_v above_o the_o horizon_n how_o much_o the_o moon_n from_o the_o strong_a point_n of_o reflow_a which_o be_v under_o the_o horizon_n until_o the_o same_o come_v to_o the_o weak_a point_n of_o the_o south_n reflow_a and_o then_o the_o moon_n likewise_o shall_v come_v to_o the_o weak_a point_n of_o the_o east_n flow_a and_o the_o sun_n and_o the_o moon_n in_o all_o this_o time_n shall_v be_v of_o equal_a strength_n and_o incontinent_o shall_v be_v neither_o flow_a nor_o reflow_a notable_a and_o shall_v be_v after_o the_o same_o manner_n while_o the_o sun_n to_o the_o motion_n of_o the_o first_o movable_a
shall_v be_v move_v from_o the_o south_n to_o the_o west_n because_o then_o the_o moon_n by_o the_o same_o motion_n of_o the_o first_o movable_a shall_v be_v move_v from_o the_o east_n to_o the_o south_n and_o likewise_o while_o the_o sun_n shall_v be_v move_v from_o the_o west_n to_o midnight_n because_o then_o the_o moon_n shall_v be_v move_v from_o the_o south_n to_o the_o west_n and_o likewise_o while_o the_o sun_n shall_v be_v move_v from_o midnight_n to_o the_o east_n 〈…〉_o because_o the_o moon_n shall_v be_v move_v from_o the_o west_n to_o midnight_n and_o so_o in_o all_o the_o time_n of_o one_o revolution_n of_o heaven_n which_o be_v one_o day_n natural_a of_o four_o and_o twenty_o hour_n the_o sea_n shall_v neither_o flow_v nor_o reflowe_v sensible_o but_o shall_v seem_v to_o stand_v because_o the_o sun_n and_o the_o moon_n in_o all_o the_o time_n of_o that_o revolution_n of_o heaven_n shall_v be_v ever_o of_o equal_a power_n without_o any_o notable_a difference_n and_o this_o chance_v about_o the_o eight_o day_n after_o the_o conjunction_n of_o the_o moon_n with_o the_o sun_n and_o this_o false_a quietness_n of_o the_o water_n of_o the_o sea_n the_o venetian_n call_v acquae_fw-la de_fw-la feel_v and_o use_v this_o manner_n of_o say_v da_n gliotto_n à_fw-fr inove_n lacqua_n non_fw-la si_fw-la move_n from_o the_o eight_o day_n to_o the_o nine_o the_o water_n move_v not_o when_o the_o moon_n shall_v be_v depart_v from_o the_o sun_n beyond_o the_o first_o quadrature_n go_v toward_o her_o opposition_n with_o the_o sun_n than_o ever_o until_o the_o moon_n shall_v come_v unto_o her_o opposition_n with_o the_o sun_n when_o the_o sun_n shall_v be_v so_o much_o above_o the_o horizon_n on_o the_o east_n part_n in_o the_o day_n quarter_n of_o the_o flow_a how_o much_o the_o moon_n be_v under_o the_o horizon_n on_o the_o same_o part_n of_o the_o east_n in_o the_o night_n quarter_n of_o the_o reflow_a the_o sun_n shall_v be_v so_o much_o distant_a from_o the_o strong_a point_n of_o the_o flow_a which_o be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o flow_a depart_v from_o it_o by_o the_o motion_n of_o the_o first_o movable_a and_o come_n to_o the_o weak_a point_n of_o the_o reflow_a how_o much_o the_o moon_n from_o the_o strong_a point_n of_o the_o reflow_a which_o be_v under_o the_o horizon_n in_o the_o night_n quarter_n of_o the_o reflow_a come_n to_o it_o by_o the_o same_o motion_n of_o the_o first_o movable_a and_o then_o the_o sun_n and_o moon_n shall_v be_v again_o of_o equal_a power_n and_o there_o shall_v be_v neither_o flow_a nor_o reflow_a and_o when_o the_o sun_n by_o motion_n of_o the_o first_o movable_a shall_v come_v to_o the_o weak_a point_n of_o the_o south_n reflow_a the_o moon_n by_o the_o same_o motion_n of_o the_o first_o movable_a shall_v approach_v or_o come_v near_o as_o much_o to_o the_o strong_a point_n of_o the_o reflow_a which_o be_v under_o the_o horizon_n in_o the_o night_n quarter_n of_o the_o reflow_a and_o then_o the_o moon_n shall_v be_v near_a to_o the_o strong_a point_n of_o the_o reflow_a which_o be_v under_o the_o horizon_n in_o the_o night_n quarter_n of_o the_o reflow_a then_o the_o sun_n to_o the_o strong_a point_n of_o the_o flow_a which_o be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o flow_a because_o the_o moon_n shall_v be_v strong_a than_o the_o sun_n and_o according_a that_o the_o sun_n by_o the_o motion_n of_o the_o first_o movable_a shall_v approach_v to_o the_o weak_a point_n of_o the_o south_n reflow_a the_o moon_n by_o the_o same_o motion_n of_o the_o first_o movable_a shall_v approach_v as_o much_o to_o the_o strong_a point_n of_o the_o reflow_a which_o be_v under_o the_o horizon_n and_o so_o the_o reflow_a shall_v continue_v until_o the_o sun_n come_v to_o the_o weak_a point_n of_o the_o south_n reflow_a and_o when_o the_o sun_n by_o the_o motion_n of_o the_o first_o movable_a shall_v depart_v from_o the_o weak_a point_n of_o the_o south_n reflow_a and_o shall_v be_v move_v by_o the_o day_n quarter_n of_o the_o reflow_a approach_v to_o the_o strong_a point_n of_o the_o reflow_a the_o moon_n by_o the_o same_o motion_n of_o the_o first_o movable_a shall_v depart_v as_o much_o from_o the_o strong_a point_n of_o the_o reflow_a which_o be_v under_o the_o horizon_n in_o the_o night_n quarter_n of_o the_o reflow_a and_o she_o shall_v be_v also_o move_v by_o the_o quarter_n of_o reflow_a as_o the_o sun_n come_n to_o the_o weak_a point_n of_o the_o east_n flow_a because_o the_o sun_n and_o the_o moon_n be_v distant_a between_o themselves_o more_o then_o by_o a_o quarter_n of_o heaven_n and_o so_o both_o shall_v be_v move_v by_o the_o quarter_n of_o reflow_a and_o therefore_o the_o reflow_a shall_v continue_v until_o the_o sun_n shall_v be_v so_o much_o beyond_o the_o south_n toward_o the_o west_n in_o the_o day_n quarter_n of_o the_o reflow_a how_o much_o the_o moon_n on_o this_o side_n the_o south_n toward_o the_o east_n in_o the_o day_n quarter_n of_o the_o flow_a and_o then_o the_o sun_n shall_v be_v so_o much_o distant_a in_o the_o strong_a point_n of_o reflow_a in_o the_o day_n quarter_n of_o reflow_a depart_v from_o it_o by_o the_o motion_n of_o the_o first_o movable_a toward_o the_o west_n how_o much_o the_o moon_n from_o the_o strong_a point_n of_o flow_a which_o be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o the_o flow_a come_n to_o it_o and_o so_o the_o sun_n and_o the_o moon_n shall_v be_v of_o equal_a force_n and_o then_o shall_v be_v neither_o flow_a nor_o reflow_a and_o when_o the_o sun_n by_o the_o motion_n of_o the_o first_o movable_a shall_v be_v depart_v from_o the_o strong_a point_n of_o the_o reflow_a which_o be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o the_o flow_a come_n to_o the_o weak_a point_n of_o the_o west_n flow_a the_o moon_n by_o the_o same_o move_n of_o the_o first_o movable_a shall_v approach_v as_o much_o to_o the_o strong_a point_n of_o the_o flow_a which_o be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o the_o flow_a and_o then_o the_o moon_n shall_v be_v near_a to_o the_o strong_a point_n of_o the_o flow_a in_o the_o day_n quarter_n of_o the_o flow_a then_o the_o sun_n to_o the_o strong_a point_n of_o the_o reflow_a in_o the_o day_n quarter_n of_o the_o reflow_a and_o so_o the_o moon_n shall_v be_v strong_a than_o the_o sun_n and_o then_o shall_v begin_v the_o flow_a and_o as_o the_o sun_n shall_v continual_o be_v depart_v from_o the_o strong_a point_n of_o reflow_a in_o the_o day_n quarter_n of_o the_o reflow_a so_o the_o moon_n continual_o shall_v approach_v to_o the_o strong_a point_n of_o flow_a in_o the_o day_n quarter_n of_o the_o flow_a and_o so_o the_o flow_a shall_v continue_v and_o when_o the_o sun_n shall_v come_v to_o the_o weak_a point_n of_o the_o west_n flow_v the_o moon_n shall_v yet_o move_v by_o the_o day_n quarter_n of_o the_o flow_a because_o the_o sun_n and_o the_o moon_n be_v distant_a one_o from_o the_o other_o more_o than_o by_o a_o quarter_n of_o heaven_n and_o then_o the_o moon_n shall_v be_v near_a to_o the_o strong_a point_n of_o flow_a in_o the_o quarter_n of_o the_o day_n flow_v than_o the_o sun_n to_o the_o strong_a point_n of_o flow_v which_o be_v under_o the_o horizon_n in_o the_o night_n quarter_n of_o the_o flow_a and_o therefore_o the_o flow_a shall_v continue_v and_o when_o the_o moon_n shall_v come_v to_o the_o weak_a point_n of_o the_o south_n reflow_a the_o sun_n shall_v pass_v the_o weak_a point_n of_o the_o west_n flow_a approach_v to_o the_o strong_a point_n of_o the_o flow_a which_o be_v under_o the_o horizon_n in_o the_o night_n quarter_n of_o the_o flow_a and_o then_o the_o sun_n shall_v be_v near_o the_o strong_a point_n of_o the_o flow_a which_o be_v under_o the_o horizon_n in_o the_o night_n quarter_n of_o the_o flow_a then_o the_o moon_n to_o the_o strong_a point_n of_o the_o reflow_a which_o be_v above_o the_o horizon_n in_o the_o day_n 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movable_a from_o the_o weak_a point_n of_o the_o west_n flow_a by_o the_o night_n quarter_n of_o the_o flow_a unto_o the_o weak_a point_n of_o midnight_n reflow_a and_o then_o the_o moon_n in_o all_o that_o time_n by_o the_o same_o move_a of_o the_o first_o movable_a shall_v likewise_o be_v move_v from_o the_o weak_a point_n of_o the_o east_n flow_a by_o the_o day_n quarter_n of_o the_o flow_a unto_o the_o weak_a point_n of_o reflow_a and_o then_o the_o flow_a shall_v cease_v and_o the_o reflow_a begin_v and_o shall_v continue_v as_o long_o as_o the_o sun_n by_o the_o move_n of_o the_o first_o movable_a shall_v be_v move_v from_o the_o weak_a point_n of_o midnight_n reflow_a by_o the_o night_n quarter_n of_o the_o reflow_a unto_o the_o weak_a point_n of_o the_o east_n flow_a and_o then_o the_o moon_n in_o all_o this_o time_n by_o the_o same_o motion_n of_o the_o first_o movable_a shall_v be_v move_v likewise_o from_o the_o weak_a point_n of_o the_o south_n reflow_a by_o the_o day_n quarter_n of_o the_o reflow_a unto_o the_o weak_a point_n of_o the_o west_n flow_a and_o then_o the_o reflow_a shall_v cease_v and_o when_o the_o moon_n shall_v pass_v her_o opposition_n with_o the_o sun_n by_o her_o proper_a motion_n 〈…〉_o go_v to_o her_o second_o quadrature_n with_o the_o sun_n then_o when_o the_o moon_n shall_v be_v so_o much_o above_o the_o horizon_n on_o the_o east_n part_n in_o the_o day_n quarter_n of_o flow_a how_o much_o the_o sun_n under_o the_o horizon_n on_o the_o same_o part_n of_o the_o east_n in_o the_o night_n quarter_n of_o the_o reflow_a because_o then_o the_o moon_n shall_v be_v so_o much_o distant_a from_o the_o strong_a point_n of_o flow_v wh_z che_fw-mi be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o flow_a how_o much_o the_o sun_n from_o the_o strong_a point_n of_o reflow_a which_o be_v under_o the_o horizon_n on_o the_o same_o part_n of_o the_o east_n in_o the_o night_n quarter_n of_o reflow_a then_o the_o sun_n and_o the_o moon_n shall_v be_v of_o equal_a power_n and_o therefore_o shall_v be_v neither_o flow_a nor_o reflow_a and_o when_o the_o moon_n by_o motion_n of_o the_o first_o movable_a shall_v be_v depart_v from_o the_o strong_a point_n of_o flow_a which_o be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o flow_a come_n toward_o the_o weak_a point_n of_o the_o south_n reflow_a the_o sun_n by_o the_o same_o motion_n of_o the_o first_o movable_a shall_v approach_v as_o much_o to_o the_o strong_a point_n of_o reflow_a which_o be_v under_o the_o horizon_n of_o the_o night_n quarter_n of_o reflow_a come_n to_o it_o and_o then_o because_o
the_o sun_n shall_v be_v less_o distant_a from_o the_o strong_a point_n of_o reflow_a which_o be_v under_o the_o horizon_n on_o the_o east_n part_n in_o the_o night_n quarter_n of_o reflow_a then_o the_o moon_n from_o the_o strong_a point_n of_o flow_a which_o be_v above_o the_o horizon_n on_o the_o same_o part_n of_o the_o east_n in_o the_o day_n quarter_n of_o flow_a the_o reflow_a shall_v begin_v and_o continue_v and_o when_o the_o moon_n by_o the_o motion_n of_o the_o first_o movable_a shall_v come_v to_o the_o weak_a point_n of_o the_o south_n reflow_a the_o sun_n shall_v yet_o be_v under_o the_o horizon_n in_o the_o night_n quarter_n of_o reflow_a because_o the_o sun_n and_o the_o moon_n be_v distant_a from_o themselves_o more_o then_o by_o a_o quarter_n of_o heaven_n and_o then_o the_o moon_n to_o the_o move_n of_o the_o first_o movable_a shall_v be_v move_v by_o the_o day_n quarter_n of_o reflow_a as_o also_o the_o sun_n in_o like_a manner_n by_o the_o night_n quarter_n of_o 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then_o the_o moon_n shall_v be_v so_o far_o distant_a from_o the_o strong_a point_n of_o reflow_a in_o the_o day_n quarter_n of_o reflow_a how_o much_o the_o sun_n from_o the_o strong_a point_n of_o flow_a in_o the_o day_n quarter_n of_o flow_a and_o so_o the_o sun_n and_o the_o moon_n shall_v be_v of_o equal_a force_n and_o there_o shall_v be_v neither_o flow_a nor_o reflow_a and_o when_o the_o moon_n by_o the_o motion_n of_o the_o first_o movable_a shall_v depart_v from_o the_o strong_a point_n of_o reflow_a come_n toward_o the_o weak_a point_n of_o the_o west_n reflow_a the_o sun_n by_o the_o same_o motion_n of_o the_o first_o movable_a shall_v approach_v as_o much_o to_o the_o strong_a point_n of_o flow_a in_o the_o day_n quarter_n of_o flow_a and_o then_o because_o the_o sun_n shall_v be_v near_a to_o the_o strong_a point_n of_o flow_a which_o be_v in_o the_o day_n quarter_n of_o flow_a then_o the_o moon_n in_o the_o strong_a point_n of_o reflow_a which_o be_v in_o the_o day_n 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the_o moon_n shall_v be_v so_o much_o distant_a from_o the_o strong_a point_n of_o flow_a under_o the_o horizon_n in_o the_o night_n quarter_n of_o flow_a come_n toward_o the_o weak_a point_n of_o midnight_n reflow_a how_o much_o the_o sun_n from_o the_o strong_a point_n of_o reflow_a above_o the_o horizon_n in_o the_o day_n quarter_n of_o reflow_a come_n to_o it_o and_o so_o the_o sun_n and_o moon_n shall_v be_v of_o equal_a strength_n and_o then_o shall_v be_v neither_o flow_a nor_o reflow_a and_o when_o the_o moon_n by_o the_o motion_n of_o the_o first_o movable_a shall_v depart_v from_o the_o strong_a point_n of_o flow_a under_o the_o horizon_n in_o the_o night_n qu●●ter_v of_o flow_a come_n toward_o the_o weak_a point_n of_o midnight_n reflow_a the_o sun_n by_o the_o same_o motion_n of_o the_o first_o movable_a shall_v approach_v as_o much_o to_o the_o strong_a point_n of_o reflow_a which_o be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o reflow_a come_n to_o it_o and_o then_o the_o sun_n shall_v be_v near_a to_o the_o strong_a point_n of_o reflow_a which_o be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o reflow_a then_o the_o moon_n to_o the_o strong_a point_n of_o flow_a which_o be_v under_o the_o horizon_n in_o the_o night_n quarter_n of_o flow_a andrea_n therefore_o then_o shall_v begin_v the_o reflow_a and_o shall_v continue_v accord_v that_o the_o moon_n shall_v depart_v from_o the_o strong_a point_n of_o flow_a which_o be_v under_o the_o horizon_n in_o the_o night_n quarter_n of_o flow_a approach_v unto_o the_o weak_a point_n of_o midnight_n reflow_a and_o the_o sun_n shall_v approach_v to_o the_o strong_a point_n of_o reflow_a which_o be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o reflow_a and_o when_o the_o moon_n by_o the_o motion_n of_o the_o first_o movable_a shall_v come_v to_o the_o weak_a point_n of_o midnight_n reflow_a the_o sun_n shall_v yet_o be_v above_o the_o horizon_n on_o the_o west_n part_n in_o 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the_o night_n quarter_n of_o reflow_a towards_o the_o weak_a point_n of_o the_o east_n flow_a the_o sun_n by_o the_o same_o move_n of_o the_o first_o movable_a shall_v approach_v as_o much_o to_o the_o strong_a point_n of_o flow_a which_o be_v under_o the_o horizon_n on_o the_o west_n part_n in_o the_o night_n quarter_n of_o flow_a come_n to_o it_o and_o then_o because_o the_o moon_n shall_v be_v more_o distant_a from_o the_o strong_a point_n of_o reflow_a then_o the_o sun_n from_o the_o strong_a point_n of_o flow_a then_o shall_v begin_v the_o flow_a because_o the_o sun_n shall_v be_v strong_a than_o the_o moon_n and_o how_o much_o more_o the_o moon_n shall_v be_v distant_a from_o the_o strong_a point_n of_o reflow_a in_o the_o night_n quarter_n of_o reflow_a so_o much_o more_o the_o sun_n shall_v approach_v to_o the_o strong_a point_n of_o flow_v in_o the_o night_n quarter_n of_o flow_a and_o so_o the_o flow_a shall_v continue_v and_o when_o the_o moon_n shall_v come_v to_o the_o 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in_o the_o night_n quarter_n of_o reflow_a then_o the_o moon_n shall_v be_v so_o much_o distant_a from_o the_o strong_a point_n of_o flow_a which_o be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o flow_a come_n to_o it_o by_o the_o motion_n of_o the_o first_o movable_a how_o much_o the_o sun_n from_o the_o strong_a point_n of_o reflow_a which_o be_v under_o the_o horizon_n in_o the_o night_n quarter_n of_o reflow_a go_v from_o it_o by_o the_o same_o motion_n of_o the_o first_o movable_a toward_o the_o weak_a point_n of_o the_o east_n flow_a and_o then_o the_o sun_n and_o the_o moon_n shall_v be_v of_o equal_a power_n and_o there_o shall_v be_v neither_o flow_a nor_o reflow_a and_o when_o the_o moon_n by_o the_o motion_n of_o the_o first_o movable_a shall_v come_v to_o the_o strong_a point_n of_o flow_a which_o be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o flow_a the_o sun_n by_o the_o same_o motion_n of_o the_o first_o movable_a shall_v depart_v as_o much_o from_o the_o strong_a point_n of_o reflow_a which_o be_v under_o the_o horizon_n in_o the_o night_n quarter_n of_o reflow_a towards_o the_o weak_a point_n of_o the_o east_n flow_a and_o then_o because_o the_o moon_n shall_v be_v less_o distant_a from_o the_o strong_a point_n of_o flow_a which_o be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o flow_a then_o the_o sun_n from_o the_o strong_a point_n of_o reflow_a the_o moon_n shall_v be_v strong_a than_o the_o sun_n and_o therefore_o then_o shall_v begin_v the_o flow_a and_o how_o much_o more_o the_o moon_n shall_v approach_v to_o the_o strong_a point_n of_o flow_a so_o much_o more_o the_o sun_n shall_v be_v distant_a from_o the_o strong_a point_n of_o reflow_a approach_v to_o the_o weak_a point_n of_o the_o east_n flow_v and_o therefore_o the_o flow_a shall_v continue_v and_o when_o the_o sun_n by_o the_o move_n of_o the_o first_o movable_a shall_v come_v to_o the_o weak_a point_n of_o the_o east_n flow_a because_o the_o moon_n shall_v yet_o be_v in_o the_o day_n quarter_n of_o flow_a for_o that_o she_o be_v distant_a from_o the_o sun_n less_o than_o a_o four_o part_n of_o heaven_n she_o shall_v be_v less_o distant_a from_o the_o strong_a point_n of_o flow_a which_o be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o flow_a then_o the_o sun_n from_o the_o strong_a point_n of_o reflow_a which_o be_v under_o the_o horizon_n in_o the_o night_n quarter_n of_o reflow_a therefore_o the_o flow_a shall_v yet_o continue_v and_o when_o the_o moon_n shall_v come_v to_o the_o weak_a point_n of_o the_o south_n reflow_a the_o sun_n shall_v be_v above_o the_o horizon_n in_o the_o day_n quarter_n of_o flow_a and_o shall_v be_v near_a to_o the_o strong_a point_n of_o flow_a then_o the_o moon_n to_o the_o strong_a point_n of_o reflow_a which_o be_v after_o mydday_n or_o the_o south_n in_o the_o day_n quarter_n of_o reflow_a because_o the_o sun_n be_v distant_a from_o the_o moon_n less_o than_o the_o four_o part_n of_o heaven_n and_o therefore_o the_o flow_a shall_v continue_v until_o the_o moon_n be_v so_o much_o beyond_o the_o south_n toward_o the_o west_n in_o the_o day_n quarter_n of_o reflow_a how_o much_o the_o sun_n before_o the_o south_n toward_o the_o east_n in_o the_o day_n quarter_n of_o flow_a and_o then_o the_o moon_n shall_v be_v so_o much_o distant_a from_o the_o strong_a point_n of_o reflow_a in_o the_o day_n quarter_n of_o reflow_a come_n to_o it_o by_o the_o motion_n of_o the_o first_o movable_a how_o much_o the_o sun_n from_o the_o strong_a point_n of_o flow_a in_o the_o day_n quarter_n of_o flow_a depart_v from_o it_o by_o the_o same_o motion_n of_o the_o first_o movable_a and_o so_o the_o sun_n and_o the_o moon_n shall_v be_v of_o equal_a force_n and_o there_o shall_v be_v neither_o flow_a nor_o reflow_a and_o when_o the_o moon_n by_o the_o motion_n of_o the_o first_o movable_a shall_v approach_v to_o the_o strong_a point_n of_o reflow_a in_o the_o day_n quarter_n of_o reflow_a the_o sun_n by_o the_o same_o motion_n of_o the_o first_o movable_a shall_v go_v back_o and_o depart_v as_o much_o from_o the_o strong_a point_n of_o flow_a in_o the_o day_n quarter_n of_o flow_a and_o then_o the_o moon_n shall_v be_v near_a to_o the_o strong_a point_n of_o reflow_a in_o the_o day_n quarter_n of_o reflow_a then_o the_o sun_n to_o the_o strong_a point_n of_o flow_a in_o the_o day_n quarter_n of_o flow_a and_o so_o the_o moon_n shall_v be_v strong_a than_o the_o sun_n and_o therefore_o shall_v begin_v the_o reflow_a and_o the_o flow_a and_o reflow_a shall_v continue_v in_o the_o same_o manner_n as_o be_v say_v when_o the_o
moon_n depart_v from_o her_o conjunction_n with_o the_o sun_n and_o be_v not_o come_v to_o her_o first_o quadrature_n with_o the_o sun_n and_o be_v between_o the_o conjunction_n and_o first_o quadrature_n and_o when_o the_o moon_n shall_v come_v to_o her_o conjunction_n with_o the_o sun_n than_o again_o all_o the_o disposition_n before_o declare_v shall_v return_v in_o all_o point_n in_o like_a manner_n as_o be_v say_v premise_n therefore_o this_o motion_n of_o the_o water_n of_o the_o sea_n whereof_o we_o have_v speak_v be_v a_o motion_n follow_v the_o motion_n of_o the_o sun_n &_o moon_n to_o the_o motion_n of_o the_o first_o movable_a for_o if_o you_o shall_v well_o consider_v that_o we_o have_v say_v of_o the_o flow_a and_o reflow_a that_o be_v increase_n and_o decrease_v or_o access_n and_o recess_n of_o the_o water_n of_o the_o sea_n you_o shall_v understand_v that_o the_o beginning_n of_o such_o flow_a and_o reflow_a and_o likewise_o the_o rest_n and_o quietness_n chance_v diverse_o in_o the_o hour_n of_o the_o day_n and_o the_o night_n for_o they_o come_v not_o ever_o in_o the_o same_o hour_n of_o the_o day_n as_o be_v manifest_o know_v to_o such_o as_o observe_v such_o flow_a and_o reflow_a or_o false_a rest_n or_o quietness_n of_o the_o water_n of_o the_o sea_n and_o therefore_o by_o the_o aforesaid_a do_v appear_v that_o the_o water_n of_o the_o sea_n have_v motion_n of_o flow_a once_o in_o the_o day_n and_o once_o in_o the_o night_n and_o likewise_o of_o reflow_a once_o in_o the_o day_n and_o once_o in_o the_o night_n hour_n it_o be_v manifest_a also_o that_o the_o flow_a do_v not_o begin_v ever_o the_o same_o hour_n of_o the_o day_n or_o night_n but_o at_o diverse_a hour_n and_o likewise_o the_o reflow_a also_o the_o time_n of_o flow_a or_o reflow_a proceed_v inordinate_o when_o the_o moon_n be_v in_o her_o quadrature_n with_o the_o sun_n that_o be_v in_o the_o first_o or_o second_o there_o chance_v sometime_o great_a increase_n of_o water_n 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because_o in_o opposition_n of_o the_o moon_n with_o the_o sun_n the_o moon_n be_v full_a of_o light_n &_o her_o light_n be_v towards_o we_o therefore_o be_v it_o reasonable_a that_o then_o shall_v be_v cause_v great_a flow_n and_o reflowyng_n then_o in_o her_o conjunction_n with_o the_o sun_n nevertheless_o because_o that_o in_o her_o conjunction_n with_o the_o sun_n the_o sun_n &_o moon_n be_v both_o unite_v together_o and_o their_o virtue_n therefore_o also_o be_v great_a encreasynge_n and_o decreasyng_n of_o water_n because_o both_o their_o virtue_n be_v unite_v as_o i_o have_v say_v but_o yet_o great_a in_o the_o opposition_n then_o in_o the_o conjunction_n for_o cause_n before_o rehearse_v the_o moon_n be_v in_o her_o quadrature_n with_o the_o sun_n moon_n the_o water_n of_o the_o sea_n have_v no_o determinate_a time_n of_o flow_a or_o reflow_a and_o then_o be_v the_o less_o concourse_n of_o water_n &_o least_o flow_a and_o reflow_a and_o such_o motion_n of_o the_o sea_n the_o 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degree_n of_o the_o east_n sign_n and_o the_o space_n of_o the_o day_n that_o be_v to_o say_v at_o what_o hour_n the_o sun_n rise_v by_o the_o which_o every_o of_o the_o planet_n be_v carry_v in_o their_o rundel_n or_o circle_n by_o course_n in_o the_o day_n time_n to_o the_o east_n and_o in_o the_o night_n to_o the_o west_n again_o contrariwise_o the_o great_a rundel_z of_o all_o draw_v with_o it_o all_o the_o planet_n in_o the_o night_n to_o the_o east_n and_o in_o the_o day_n to_o the_o west_n in_o the_o space_n of_o .24_o hour_n at_o which_o to_o agree_v with_o the_o motion_n of_o heaven_n both_o reason_n and_o experience_n do_v confirm_v and_o therefore_o ought_v you_o not_o to_o marvel_v if_o these_o thing_n seem_v incredible_a to_o many_o for_o as_o say_v the_o wise_n proverve_v faith_n be_v slow_o give_v to_o great_a thing_n for_o even_o we_o scarce_o believe_v our_o own_o eye_n when_o we_o see_v such_o thing_n and_o therefore_o whereas_o in_o time_n past_a i_o read_v that_o such_o a_o like_a instrument_n be_v make_v by_o archimedes_n my_o faith_n yet_o fail_v i_o to_o geve_v credit_n to_o so_o great_a a_o author_n which_o thing_n nevertheless_o this_o our_o florentine_a have_v perform_v the_o work_n doubtless_o be_v of_o such_o excellence_n that_o all_o praise_n be_v inferior_a to_o it_o and_o can_v not_o therefore_o for_o the_o wo●●thyn●sse_n thereof_o be_v otherwise_o praise_v then_o to_o say_v that_o it_o pass_v all_o praise_n the_o artificer_n himself_o also_o be_v a_o man_n of_o such_o integrity_n of_o manner_n that_o the_o sun_n be_v nothing_o inferior_a to_o the_o excellency_n of_o his_o wit_n in_o so_o much_o that_o he_o may_v seem_v a_o man_n send_v from_o heaven_n where_o be_v learn_v the_o make_v of_o this_o heaven_n by_o the_o example_n of_o the_o other_o hitherto_o policianus_n of_o the_o like_a instrument_n roger_n bacon_n also_o make_v mention_n in_o his_o say_a book_n of_o the_o marvellous_a power_n of_o art_n and_o nature_n affirm_v the_o same_o to_o be_v worth_a a_o kingdom_n to_o a_o wise_n man_n but_o for_o as_o much_o as_o the_o subject_n which_o i_o have_v now_o in_o hand_n be_v chief_o touch_v invention_n partein_v to_o ship_n and_o the_o art_n of_o navigation_n i_o think_v good_a to_o speak_v somewhat_o of_o the_o invention_n of_o a_o certain_a italian_a writer_n name_v leonardo_n f●o●ananti_n who_o in_o his_o book_n entitle_v 18_o specchio_n discientia_fw-la universale_fw-la do_v great_o glory_n in_o the_o invention_n of_o ship_n which_o can_v not_o perish_v either_o on_o the_o sea_n or_o the_o land_n drown_v affirm_v that_o the_o like_a be_v never_o invent_v since_o the_o creation_n of_o the_o world_n but_o i_o fear_v i_o lest_o vain_a glory_n of_o discourse_v in_o the_o italian_a tongue_n have_v cause_v he_o more_o than_o needs_o to_o commend_v his_o own_o invention_n as_o for_o the_o most_o part_n be_v the_o manner_n of_o the_o italian_a writer_n therefore_o commit_v the_o judgement_n hereof_o to_o man_n of_o great_a experience_n and_o knowledge_n in_o these_o thing_n i_o will_v only_o translate_v his_o word_n whereby_o in_o the_o book_n before_o name_v he_o describe_v the_o say_a ship_n in_o this_o manner_n take_v beam_n of_o fir_n or_o pyne_n tree_n which_o of_o their_o own_o nature_n can_v never_o go_v down_o or_o sink_v or_o abide_v under_o the_o water_n and_o with_o these_o beam_n frame_v a_o e●●●ne_n machina_fw-la if_o i_o may_v so_o call_v it_o of_o the_o length_n of_o three_o score_n four_o and_o of_o the_o breadth_n of_o twenty_o foot_n and_o of_o the_o height_n of_o six_o foot_n lay_v the_o first_o rank_n in_o length_n and_o the_o other_o traverse_n or_o overthwart_o and_o the_o three_o again_o in_o length_n fashion_v the_o sore_a part_n like_o unto_o other_o ship_n and_o in_o like_a manner_n bring_v the_o poop_n or_o hinder_v part_n to_o good_a form_n then_o with_o such_o iron_n as_o ●pparteyne_a bound_v it_o and_o strengthen_v it_o in_o such_o manner_n that_o it_o can_v not_o break_v and_o upon_o this_o frame_n or_o foundation_n build_v your_o ship_n of_o such_o fashion_n as_o you_o think_v best_a etc_n etc_n it_o be_v here_o too_o long_o to_o rehearse_v with_o what_o proud_a word_n and_o ostentation_n he_o magnify_v this_o invention_n but_o whether_o this_o frame_n or_o engine_n shall_v be_v bylden_a upon_o the_o keel_n or_o bottom_n of_o the_o ship_n or_o otherwise_o i_o commit_v it_o to_o they_o of_o better_a judgement_n as_o i_o have_v say_v but_o whereas_o it_o may_v for_o this_o time_n suffice_v to_o have_v write_v thus_o much_o of_o these_o thing_n i_o will_v make_v a_o end_n with_o only_a a_o br●●te_a rehearsal_n of_o the_o invention_n and_o increase_n of_o the_o art_n of_o navigation_n after_o that_o the_o art_n of_o navigation_n be_v find_v every_o man_n begin_v to_o challenge_v unto_o he_o the_o dominion_n of_o the_o sea_n &_o there_o to_o dwell_v and_o keep_v war_n even_o as_o on_o the_o land_n minos_n as_o write_v strabo_n be_v the_o first_o that_o rule_v on_o the_o sea_n which_o nevertheless_o other_o ascribe_v to_o neptunus_n who_o first_o find_v the_o art_n of_o navigation_n and_o be_v therefore_o as_o write_v diodorus_n appoint_v by_o saturnus_n to_o be_v admiral_n of_o the_o first_o navy_n and_o thereby_o the_o posterity_n afterward_o ascribe_v to_o he_o the_o governance_n of_o the_o sea_n and_o name_v he_o the_o god_n thereof_o after_o who_o the_o cretense_n ever_o be_v esteem_v most_o expert_a in_o the_o art_n of_o navigation_n but_o as_o write_v plivie_a boat_n be_v first_o invent_v and_o with_o they_o be_v the_o first_o sail_a in_o the_o island_n of_o the_o red_a sea_n under_o king_n erythra_n as_o also_o witness_v quintilian_n say_v if_o none_o have_v proceed_v
r._n and_o l_o m_o q_o then_o by_o the_o four_o of_o the_o first_o the_o triangle_n f_o g_o e._n shall_v be_v of_o equal_a side_n and_o also_o of_o equal_a angle_n to_o the_o triangle_n f_o g_o r._n furthermore_o q_n m_o be_v equidistant_a g_o r._n by_o common_a science_n &_o by_o r_o g._n of_o the_o first_o the_o angle_n f_o q_o m._n equal_a to_o the_o angle_n f_o r_o g._n and_o the_o angle_n f_o r_o g._n equal_a to_o the_o angle_n f_o m_o q._n and_o whereas_o the_o angle_n f_o r_o g._n be_v common_a to_o either_o of_o they_o then_o by_o the_o 4._o of_o the_o six_o the_o same_o or_o all_o one_o shall_v be_v the_o proportion_n r_o g._n to_o queen_n m._n as_o be_v of_o g_o f._n to_o m_o f._n but_o as_o be_v g_o f._n to_o m_o f._n so_o be_v g_o f._n to_o m_o l._n wherefore_o by_o n._n of_o the_o five_o g_o f._n so_o have_v itself_o to_o m_o l._n as_o g_o r._n to_o q_n m._n but_o by_o the_o 16._o of_o the_o same_o m_o l._n to_o queen_n m._n have_v itself_o as_o g_z f._n to_o g_z r._n wherefore_o m_o l._n equal_a m_o q._n which_o m_o q._n i_o divide_v by_o equal_a in_o the_o point_n x_o by_o 10._o of_o the_o first_o &_o will_v do_v as_o before_o then_o by_o the_o reason_n aforesaid_a of_o the_o same_o the_o portion_n f_o x_o g._n shall_v be_v equal_a to_o the_o trigon_n a_o b_o h._n and_o the_o whole_a superficies_n f_o g._n n_o x._o shall_v be_v equal_a to_o the_o whole_a trigon_n a_o b_o c._n which_o be_v propose_v the_o contrary_n appear_v thus_o let_v be_v grant_v a_o superficies_n contain_v of_o two_o paraboll_n line_n as_o fletcher_n n_o g._n and_o f_o x_o g._n propose_v for_o example_n to_o find_v a_o superficial_a of_o right_a lynt_n triangule_a equal_a to_o the_o grant_v superficies_n i_o draw_v first_o fletcher_n g._n then_o after_o by_o 44._o of_o the_o second_o of_o apollonius_n pergeus_n i_o find_v the_o diameter_n of_o the_o parabol_n f_o n_o g._n which_o be_v m_o n._n which_o i_o draw_v to_o n_o l._n to_o be_v equal_a m_o n._n then_o i_o draw_v f_o l._n which_o shall_v touch_v the_o parabol_n f_o n_o g._n in_o the_o point_n f._n by_o 33._o of_o the_o first_o of_o the_o same_o then_o from_o the_o point_n g._n i_o draw_v a_o line_n g_o e._n equidistant_n from_o the_o diameter_n m_o n_o l._n by_o 31._o of_o the_o first_o of_o euclid_n which_o i_o draw_v until_o it_o join_v together_o with_o fletcher_n l._n the_o which_o doubtless_o shall_v be_v do_v by_o the_o second_o of_o the_o first_o of_o v●tellio_n the_o point_n of_o the_o concourse_n or_o join_v together_o be_v e._n then_o i_o divide_v fletcher_n e._n into_o three_o equal_a portion_n by_o the_o 11._o of_o the_o six_o of_o euclid_n in_o the_o point_n s._n and_o t._n which_o point_n i_o join_v with_o the_o point_n g._n by_o the_o line_n f_o g._n and_o g_o r._n now_o shall_v there_o be_v three_o angle_n all_o equal_a to_o themselves_o by_o 38._o of_o euclid_n after_o this_o i_o constitute_v a_o trigon_n b_o h_o c._n equal_a to_o the_o trigon_n f_o s_o g._n by_o this_o mean_v i_o draw_v forth_o h_o c._n to_o the_o equality_n g_o s._n by_o the_o 4._o of_o the_o first_o of_o euclid_n then_o at_o the_o point_n h._n i_o design_v a_o angle_n b_o h_o c._n equal_a to_o the_o angle_n f_o s_o g._n by_o 23._o of_o the_o first_o of_o euclid_n and_o by_o 3._o of_o the_o first_o of_o the_o same_o i_o draw_v h_o b._n until_o it_o be_v equal_a fletcher_n s._n afterward_o i_o join_v b_o c._n by_o a_o line_n then_o by_o 4._o of_o the_o first_o the_o triangle_n b_o h_o c._n shall_v be_v equal_a to_o the_o triangle_n f_o s_o g._n and_o shall_v be_v equal_a to_o the_o portion_n f_o n_o g._n by_o 17._o archimedes_n de_fw-fr quadratura_fw-la parabolae_fw-la by_o the_o help_n of_o the_o first_o conception_n of_o euclid_n i_o do_v the_o like_a of_o the_o portion_n f_o g_o x_o to_o who_o by_o a_o equal_a triangle_n o_o p_o r._n then_o i_o draw_v p_o q_n equal_o distant_a oh_o r._n and_o r_o v._n equal_o distant_a oh_o p._n by_o 31._o of_o the_o first_o of_o euclid_n then_o by_o 41._o of_o the_o same_o o_fw-fr p_o r._n shall_v be_v half_n of_o the_o superficies_n o_o v._n now_o then_o i_o somewhat_o protract_v c_z h._n then_o upon_o b_o h._n i_o constitute_v a_o superficial_a of_o equidistant_a side_n have_v a_o angle_n b_o h_o a._n by_o 44._o of_o the_o first_o of_o euclid_n twice_o assumpt_v the_o diameter_n of_o the_o which_o superficies_n be_v a_o p_o b._n then_o by_o 41._o of_o the_o same_o with_o the_o first_o conception_n of_o the_o trigon_n a_o b_o c._n shall_v be_v equal_a of_o the_o superficies_n f_o g_o n_o x._o grant_v which_o be_v the_o intent_n finis_fw-la exod._n xxxv_o bezaleel_n and_o ahaliab_n of_o this_o instrument_n read_v the_o cosmolabe_n of_o besson_n a_o instrument_n in_o motion_n agree_a with_o the_o motion_n of_o heaven_n anno_fw-la dom._n 1584._o lib._n 3._o ca._n 18_o the_o invention_n of_o a_o ship_n which_o can_v not_o be_v drown_v a_o perpetual_a or_o continual_a motion_n michael_n angelo_n five_o kind_n of_o lode_n stone_n lode_n stone_n male_a and_o female_a the_o best_a loadstone_n of_o hew_v colour_n lode_n stone_n s●●d_v for_o the_o weight_n of_o silver_n one_o loadstone_n draw_v another_o lode_n stone_n m●d●cin●●_n 〈◊〉_d for_o the_o 〈◊〉_d the_o stone_n theamedes_n put_v iron_n from_o it_o iron_n nail_n draw_v out_o of_o ship_n by_o the_o stone_n be_v in_o many_o thing_n pass_v and_o amend_v nature_n the_o stone_n magnes_n be_v know_v by_o colour_n virtue_n weight_n and_o equality_n colour_n virtue_n equality_n how_o to_o find_v the_o pole_n by_o the_o stone_n a_o question_n of_o attraction_n of_o humour_n etc_n etc_n scammonea_n and_o choler_n a_o vire_fw-la or_o a_o needle_n how_o the_o stone_n draw_v ●ron_n or_o arrive_v it_o away_o agent_n and_o patient_a the_o stone_n divide_v in_o the_o midst_n from_o whence_o the_o stone_n have_v his_o virtue_n the_o north_n star_n be_v not_o the_o pole._n every_o part_n of_o this_o stone_n respect_n 〈◊〉_d some_o part_n of_o heau●●●_n the_o great_a miracle_n in_o natural_a thing_n denticle_n 〈◊〉_d little_a 〈…〉_o that_o it_o 〈◊〉_d the_o 〈◊〉_d calculus_fw-la a_o little_a round_a stone_n or_o small_a weight_n like_o a_o pellet_n or_o plomm●●_n a_o strange_a experiment_n practise_v the_o river_n of_o tagus_n &_o danubius_n marvellous_a swiftness_n of_o a_o ship_n swift_a spe●●●_n after_o m●●ning_n prayer_n another_o experience_n of_o swift_a sayly●●_n the_o difference_n of_o sh●ppe●_n in_o sa●●●ng_n the_o prop●●●●●●_n in_o ●●aming_v of_o ship_n ●●nes_n and_o 〈◊〉_d it_o be_v easy_a to_o add_v to_o invention_n then_o to_o invent_v the_o new_a river_n from_o antwerp_n to_o brussels_n a_o no●●●le_a experiment_n the_o water_n intend_v to_o ●●●bus_fw-la form●_n why_o t●e_z water_n 〈◊〉_d about_o overflow_v the_o land_n a_o experiment_n the_o drow_n of_o certain_a ●●gio●_n this_o experiment_n may_v be_v prove_v with_o a_o great_a bell_n an_o other_o example_n of_o the_o foresay_a experiment_n a_o secret_a know_v be_v no_o more_o a_o miracle_n ignorance_n cause_v admiration_n whirlpool_n devour_n ship_n the_o like_a of_o earthquake_n ●●●me_n and_o undermine_v the_o spirit_n of_o de●●gorgon_n to_o make_v say_v water_n fresh_a there_o be_v a_o better_a way_n eight_o p●in●●●s_n of_o ●●u●n_n for_o 〈◊〉_d and_o res●●●ing_n a_o right_a horizon_n be_v when_o both_o the_o pole_n lie_v in_o the_o horizon_n &_o that_o be_v to_o they_o only_o which_o dwell_v under_o the_o equinoctial_a point_n of_o equal_a virtue_n in_o move_a the_o water_n of_o the_o sea_n the_o aspect_n which_o the_o moon_n make_v with_o the_o sun_n every_o month_n the_o sun_n &_o moon_n be_v in_o con●●●ction_n what_o effect●●s_v they_o ha●●_n in_o mo●●●●_n the_o w●●●●_n the_o sea_n a_o quarter_n of_o heaven_n be_v three_o sign_n a_o time_n wherein_o be_v neither_o ebb_n nor_o flow_a the_o moon_n be_v in_o quartile_a aspect_n or_o at_o the_o first_o with_o the_o ●●arter_n some_o what_o effect_n it_o cause_v in_o ebb_n and_o flow_a a_o very_a little_a ebb_n or_o flow_a eight_o day_n ●●ter_v 〈…〉_o a_o long_a time_n of_o flow_a the_o moon_n be_v in_o opposition_n with_o the_o sun_n what_o effect_n they_o have_v in_o move_a the_o water_n of_o the_o sea_n the_o moon_n 〈…〉_o the_o moon_n be_v in_o the_o last_o quarter_n cause_v the_o same_o effect_n as_o in_o the_o first_o a_o brief_a collection_n of_o all_o the_o premise_n ebh_v and_o flow_a begin_v not_o always_o at_o one_o hour_n great_a motio_fw-la be_v of_o the_o water_n in_o the_o conjunction_n of_o the_o sun_n and_o moon_n great_a motion_n in_o opposition_n of_o the_o sun_n and_o moon_n small_a motion_n of_o the_o water_n without_o determinate_a time_n always_o in_o the_o quadrature_n of_o the_o sun_n and_o moon_n note_n the_o moon_n follow_v the_o sun_n in_o rise_v when_o flow_a s_o all_o e_o 〈◊〉_d ●●ares_v after_o sun_n rise_v eb_v after_o noon_n the_o moon_n rise_v before_o the_o sun_n note_n a_o general_a observation_n for_o the_o begin_n of_o ebb_n and_o flow_a note_n in_o what_o horizon_n this_o discourse_n take_v place_n the_o begin_n 〈…〉_o of_o 〈…〉_o i_o he_o beginning_a of_o eb●●●_n 〈◊〉_d by_o re●●_n 〈◊〉_d the_o 〈◊〉_d ch●●●_n two_o flowyng_n in_o one_o day_n and_o none_o in_o the_o night_n note_n the_o ●●●●●enes_n ●f_n other_o 〈…〉_o ●●●e_a cause_n 〈…〉_o in_o ●●l_o by_o 〈◊〉_d and_o 〈…〉_o and_o like_o 〈…〉_o narrowness_n of_o place_n may_v cause_v disorder_n thomas_n de_fw-fr aquino_n motion_n of_o the_o body_n 〈…〉_o and_o silver_n the_o 〈◊〉_d of_o fire_n motion_n of_o heaven_n 〈◊〉_d the_o great_a body_n the_o quick_a motion_n the_o great_a fire_n the_o swyft_a motion_n perspective_n &_o error_n of_o vitellio_n archimedes_n motion_n violent_a and_o natural_a apollonius_n pergeus_n