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end_n day_n month_n week_n 1,539 5 9.4455 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A34005 The sector on a quadrant, or A treatise containing the description and use of four several quadrants two small ones and two great ones, each rendred many wayes, both general and particular. Each of them accomodated for dyalling; for the resolving of all proportions instrumentally; and for the ready finding the hour and azimuth universally in the equal limbe. Of great use to seamen and practitioners in the mathematicks. Written by John Collins accountant philomath. Also An appendix touching reflected dyalling from a glass placed at any reclination. Collins, John, 1625-1683.; Lyon, John, professor of mathematics. Appendix touching reflective dialling.; Sutton, Henry, mathematical instrument maker. 1659 (1659) Wing C5382; ESTC R32501 226,510 415

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repair_n to_o the_o month_n you_o be_v in_o and_o those_o figure_n that_o stand_v against_o it_o show_v you_o what_o day_n of_o the_o say_a month_n the_o week_n day_n shall_v be_v the_o same_o as_o it_o be_v the_o first_o day_n of_o march._n example_n for_o the_o year_n 1660_o have_v find_v that_o the_o first_o day_n of_o march_n happen_v upon_o a_o thursday_n look_v into_o the_o column_n against_o june_n and_o february_n you_o will_v find_v that_o the_o seven_o 14_o 21th_o and_o 28_o day_n of_o those_o month_n be_v thursday_n whence_o it_o may_v be_v conclude_v if_o need_n be_v that_o the_o quarter_n day_n or_o 24_o day_n of_o june_n that_o year_n happen_v on_o the_o lord_n day_n of_o the_o epact_n the_o epact_n be_v a_o number_n carry_v on_o in_o account_n from_o year_n to_o year_n towards_o a_o new_a change_n and_o be_v 11_o day_n and_o some_o odd_a time_n beside_o cause_v by_o reason_n of_o the_o moon_n motion_n which_o change_v 12_o time_n in_o a_o year_n solar_a and_o run_v also_o this_o 11_o day_n more_o towards_o a_o new_a change_n the_o use_n of_o it_o serve_v to_o find_v the_o moon_n age_n and_o thereby_o the_o time_n of_o high_a water_n to_o know_v the_o moon_n age_n add_v to_o the_o day_n of_o the_o month_n the_o epact_n and_o so_o many_o day_n more_o as_o be_v month_n from_o march_n to_o the_o month_n you_o be_v in_o including_z both_o month_n the_o sum_n if_o less_o than_o 30_o be_v the_o moon_n age_n if_o more_o subtract_v 30_o and_o the_o residue_n in_o the_o moon_n age_n prope_fw-la verum_fw-la example_n the_o epact_n for_o the_o year_n 1658_o be_v 6_o and_o let_v it_o be_v require_v to_o know_v the_o moon_n age_n the_o 28_o of_o july_n be_v the_o five_o month_n from_o march_n both_o inclusive_a 6_o 28_o 5_o the_o sum_n of_o these_o three_o number_n be_v 39_o whence_o reject_v 30_o the_o remainder_n be_v 9_o for_o the_o moon_n age_n seek_v the_o former_a rule_n serve_v when_o the_o month_n have_v 31_o day_n but_o if_o the_o month_n have_v but_o 30_o day_n or_o less_o take_v away_o but_o 29_o and_o the_o residue_n be_v her_o age_n to_o find_v the_o time_n of_o the_o moon_n come_v to_o south_n multiply_v the_o moon_n age_n by_o 4_o and_o divide_v by_o 5_o the_o quotient_n show_v it_o every_o unit_fw-la that_o remain_v be_v in_o value_n twelve_o minute_n of_o time_n and_o because_o when_o the_o moon_n be_v at_o the_o full_a or_o 15_o day_n old_a she_o come_v to_o south_n at_o the_o hour_n of_o 12_o at_o midnight_n for_o ease_v in_o multiplication_n and_o division_n when_o her_o age_n exceed_v 15_o day_n reject_v 15_o from_o it_o example_n so_o when_o the_o moon_n be_v 8_o day_n old_a she_o come_v to_o south_n at_o 24_o minute_n past_o six_o of_o the_o clock_n which_o be_v know_v her_o rise_n or_o set_v may_v be_v rude_o guess_v at_o to_o be_v six_o hour_n more_o or_o less_o before_o she_o be_v south_n and_o her_o set_n as_o much_o after_o but_o in_o regard_n of_o the_o vary_a of_o her_o declination_n no_o general_a certain_a rule_n for_o the_o memory_n can_v be_v give_v here_o it_o may_v be_v note_v that_o the_o first_o 15_o day_n of_o the_o moon_n age_n she_o come_v to_o the_o meridian_n after_o the_o sun_n be_v to_o the_o eastward_o of_o he_o and_o the_o late_a 15_o day_n she_o come_v to_o the_o meridian_n before_o the_o sun_n be_v to_o the_o westward_n of_o he_o to_o find_v the_o time_n of_o high_a water_n to_o the_o time_n of_o the_o moon_n come_v to_o south_n add_v the_o time_n of_o high_a water_n on_o the_o change_n day_n proper_a to_o the_o place_n to_o which_o the_o question_n be_v suit_v the_o sum_n show_v the_o time_n of_o high_a water_n for_o example_n there_o be_v add_v in_o a_o table_n of_o the_o time_n of_o high_a water_n at_o london_n which_o any_o one_o may_v cast_v up_o by_o memory_n according_a to_o these_o rule_n it_o be_v to_o be_v note_v that_o spring_n tide_n high_a wind_n and_o the_o moon_n in_o her_o quarter_n cause_v some_o variation_n from_o the_o time_n here_o express_v moon_n age_n moon_n south_n tide_n london_n day_n ho._n mi._n ho._n mi_fw-mi 0 15_n 12_o 3_o 00_o 1 16_n 12_o 48_o 3_o 48_o 2 17_n 1_o 36_o 4_o 36_o 3 18_n 2_o 24_o 5_o 24_o 4 19_n 3_o 12_o 6_o 12_o 5 20_n 4_o  _fw-fr 7_o 00_o 6 21_n 4_o 48_o 7_o 48_o 7 22_n 5_o 36_o 8_o 36_o 8 23_n 6_o 24_o 9_o 24_o 9 24_n 7_o 12_o 10_o 12_o 10 25_n 8_o 00_o 11_o 00_o 11 26_n 8_o 48_o 11_o 48_o 12 27_n 9_o 36_o 12_o 36_o 13 28_n 10_o 24_o 1_o 24_o 14 29_n 11_o 12_o 2_o 12_o this_o rule_n may_v in_o some_o measure_n satisfy_v and_o serve_v for_o vulgar_a use_n for_o such_o as_o have_v occasion_n to_o go_v by_o water_n and_o but_o that_o there_o be_v spare_v room_n to_o grave_n on_o the_o epact_n nothing_o at_o all_o shall_v have_v be_v say_v thereof_o a_o table_n show_v the_o hour_n and_o minute_n to_o be_v add_v to_o the_o time_n of_o the_o moon_n come_v to_o south_n for_o the_o place_n follow_v be_v the_o time_n of_o high_a water_n on_o the_o change_n day_n  _fw-fr h._n m._n quinborough_n southampton_n portsmouth_n isle_n of_o wight_n beachie_n the_o spit_n kentish_a knock_n half_a tide_n at_o dunkirk_n 00_o  00_n rochester_n maulden_n aberdeen_n redban_n west_n end_n of_o the_o nowre_n black_a tail_n 00_o  45_n gravesend_n downes_n rumney_n silly_a half_a tide_n blackness_n ramkins_n semhead_n 1_o  30_n dundee_n st._n andrew_n lixborne_n st._n lucas_n bel_n isle_n holy_a isle_n 2_o  15_n london_n tinmouth_n hartlepoole_n whitby_n amsterdam_n gascoigne_n britain_n galizia_n 3_o  00_n barwick_n flamborough_n head_n bridlington_n bay_n ostend_n flushing_n bourdeaux_n fountnesse_n 3_o  45_n scarborough_n quarter_n tide_n lawrenas_n mountsbay_n severne_n king_n sale_n corke-haven_n baltamoor_n dungarvan_n calais_n creek_n bloy_v seven_o isle_n 4_o  30_n falmouth_n foy_n humber_n moonles_a newcastle_n dartmouth_n torbay_n caldy_n garnesey_n st._n mallow_n abrowrath_n lizard_n 5_o  15_n plymouth_n weymouth_n hull_n lin_n lundy_n antwerp_n holmes_n of_o bristol_n st._n david_n head_n concalo_fw-la saint_n malo_n 6_o  00_n bristol_n foulnes_n at_o the_o start_n 6_o  45_n milford_n bridg-water_n exwater_n land_n end_n waterford_n cape_n clear_a abermorick_n texel_n 7_o  20_n portland_n peterperpont_n harflew_v hague_n st._n magnus_n sound_v dublin_n lambay_n mackuels_n castle_n 8_o  15_n poole_n s._n helen_n man_n isle_n catnes_n orkney_n fair_a isle_n dunbar_n kildien_n basse_fw-fr island_n the_o casquer_n deep_o at_o half_a tide_n 9_o  _fw-fr needles_n oxford_n laysto_n south_n and_o north_n foreland_n 9_o  45_n yarmouth_n dover_n harwich_n in_o the_o frith_n bullen_n saint_n john_n de_fw-fr luce_fw-fr calais_n ride_v 10_o  30_n rye_n winchelsea_n gorend_a rivers_n mouth_n of_o thames_n fair_a isle_n rhodes_n 11_o  15_n to_o find_v the_o epact_n for_o ever_o in_o order_n hereto_o first_o find_v out_o the_o prime_a number_n divide_v the_o year_n of_o the_o lord_n by_o 19_o the_o residue_n after_o the_o division_n be_v finish_v be_v augment_v by_o a_o unit_fw-la be_v the_o prime_n seek_v and_o if_o nothing_o remain_v the_o prime_n be_v a_o unit._n to_o find_v the_o epact_n multiply_v the_o prime_n by_o 11_o the_o product_n be_v the_o epact_n seek_v if_o less_o than_o 30_o but_o if_o it_o be_v more_o the_o residue_n of_o the_o product_v divide_v by_o 30_o be_v the_o epact_n seek_v there_o note_v that_o the_o prime_n change_v the_o first_o of_o january_n and_o the_o epact_n the_o first_o of_o march_n otherwise_o have_v once_o obtain_v the_o epact_n add_v 11_o so_o it_o the_o sum_n if_o less_o than_o 30_o be_v the_o epact_n for_o the_o next_o year_n if_o more_o reject_v 30_o and_o the_o residue_n be_v the_o epact_n seek_v caution_n when_o the_o epact_n be_v find_v to_o be_v 29_o for_o any_o year_n the_o next_o year_n follow_v it_o will_v be_v 11_o and_o not_o 10_o as_o the_o rule_n will_v suggest_v a_o table_n of_o the_o epact_n belong_v to_o the_o respective_a prime_n pr._n 1_o 2_o 3_o 4_o 5_o 6_o 7_o 8_o 9_o 10_o 11_o 12_o 13_o 14_o 15_o 16_o 17_o 18_o 19_o ep._n 11_o 22_o 3_o 14_o 25_o 6_o 17_o 28_o 9_o 20_o 1_o 12_o 23_o 4_o 15_o 26_o 7_o 18_o 29_o the_o prime_a number_n call_v the_o golden_a number_n be_v the_o number_n of_o 19_o year_n in_o which_o space_n the_o moon_n make_v all_o variety_n of_o her_o change_n as_o if_o she_o change_v on_o a_o certain_a day_n of_o the_o month_n on_o a_o certain_a year_n she_o shall_v not_o change_v the_o same_o day_n of_o the_o month_n again_o till_o 19_o year_n after_o and_o then_o it_o do_v not_o happen_v upon_o the_o same_o hour_n of_o the_o day_n yet_o the_o difference_n do_v not_o cause_v
59_o 17_o 04_o 31_o 15_o 03_o 17_o 21_o day_n november_n ☉_o r._n a._n ☉_o decl._n h._n m._n d._n m._n 1_o 15_o 07_o 17_o 38_o 2_o 15_o 11_o 17_o 54_o 3_o 15_o 15_o 18_o 10_o 4_o 15_o 19_o 18_o 26_o 5_o 15_o 23_o 18_o 41_o 6_o 15_o 27_o 18_o 56_o 7_o 15_o 31_o 19_o 11_o 8_o 15_o 36_o 19_o 26_o 9_o 15_o 40_o 19_o 40_o 10_o 15_o 45_o 19_o 53_o 11_o 15_o 49_o 20_o 07_o 12_o 15_o 53_o 20_o 19_o 13_o 15_o 58_o 20_o 32_o 14_o 16_o 02_o 20_o 44_o 15_o 16_o 07_o 20_o 56_o 16_o 16_o 11_o 21_o 08_o 17_o 16_o 15_o 21_o 19_o 18_o 16_o 19_o 21_o 29_o 19_o 16_o 23_o 21_o 39_o 20_o 16_o 28_o 21_o 49_o 21_o 16_o 32_o 21_o 58_o 22_o 16_o 36_o 22_o 08_o 23_o 16_o 40_o 22_o 16_o 24_o 16_o 44_o 22_o 24_o 25_o 16_o 49_o 22_o 32_o 26_o 16_o 53_o 22_o 39_o 27_o 16_o 57_o 22_o 46_o 28_o 17_o 02_o 22_o 52_o 29_o 17_o 06_o 22_o 58_o 30_o 17_o 11_o 23_o 03_o 31_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr day_n december_n ☉_o r._n a._n ☉_o decl._n h._n m._n d._n m._n 1_o 17_o 15_o 23_o 08_o 2_o 17_o 20_o 23_o 13_o 3_o 17_o 25_o 23_o 17_o 4_o 17_o 29_o 23_o 20_o 5_o 17_o 34_o 23_o 23_o 6_o 17_o 38_o 23_o 26_o 7_o 17_o 42_o 23_o 28_o 8_o 17_o 47_o 23_o 29_o 9_o 17_o 51_o 23_o 30_o 10_o 17_o 56_o 23_o 31_o 11_o 18_o 00_o 23_o 31½_n 12_o 18_o 05_o 23_o 31_o 13_o 18_o 09_o 23_o 30_o 14_o 18_o 14_o 23_o 29_o 15_o 18_o 19_o 23_o 27_o 16_o 18_o 24_o 23_o 25_o 17_o 18_o 28_o 23_o 22_o 18_o 18_o 33_o 23_o 19_o 19_o 18_o 37_o 23_o 15_o 20_o 18_o 41_o 23_o 11_o 21_o 18_o 45_o 23_o 07_o 22_o 18_o 49_o 23_o 02_o 23_o 18_o 54_o 22_o 56_o 24_o 18_o 58_o 22_o 50_o 25_o 19_o 03_o 22_o 43_o 26_o 19_o 07_o 22_o 36_o 27_o 19_o 11_o 22_o 29_o 28_o 19_o 16_o 22_o 21_o 29_o 19_o 20_o 22_o 13_o 30_o 19_o 25_o 22_o 04_o 31_o 19_o 30_o 21_o 55_o a_o rectify_v table_n for_o the_o sun_n declination_n  _fw-fr year_n year_n year_n  _fw-fr 1657_o 1661._o 1665_o 1669_o 1673_o 1659._o 1663._o 1667_o 1671_o 1675_o 1660_o 1664_o 1668_o 1672_o 1676_o month_n min._n min._n min._n january_n 3_o s_o 2_o a_o 5_o a_o 4_o s_z 3_o a_o 7_o a_o 5_o s_z 4_o a_o 9_o a_o february_n 5_o s_z 5_o a_o 10_o a_o 5_o s_z 5_o a_o 11_o a_o 6_o s_z 5_o a_o 11_o a_o march_z 6_o s_z 5_o a_o 13_o s_z 5_o a_o 5_o s_z 12_o a_o 5_o a_o 5_o s_z 12_o a_o april_n 5_o a_o 5_o s_z 11_o a_o 5_o a_o 5_o s_z 10_o a_o 4_o a_o 4_o s_z 9_o a_o may_v 4_o a_o 4_o s_z 8_o a_o 3_o a_o 3_o s_z 6_o a_o 2_o a_o 2_o s_z 4_o a_o june_n 1_o a_o 1_o s_o 2_o a_o 0_o s_o 0_o a_o 0_o s_o 1_o s_z 1_o a_o 3_o s_o july_n 2_o s_z 2_o a_o 5_o s_z 3_o s_z 3_o a_o 7_o s_z 4_o s_z 4_o a_o 9_o s_o august_n 5_o s_z 5_o a_o 10_o s_z 5_o s_z 5_o a_o 11_o s_z 6_o s_z 5_o a_o 12_o s_o september_n 6_o s_z 5_o a_o 13_o s_z 6_o a_o 5_o s_z 13_o a_o 6_o a_o 5_o s_z 12_o a_o october_n 6_o a_o 5_o s_z 12_o a_o 5_o a_o 5_o s_z 11_o a_o 4_o a_o 5_o s_z 9_o a_o novem._n 3_o a_o 4_o s_z 7_o a_o 2_o a_o 3_o s_z 5_o a_o 1_o a_o 2_o s_z 3_o a_o decemb._n 0_o a_o 1_o s_z 1_o a_o 1_o s_o 0_o a_o 1_o s_z 2_o s_z 1_o a_o 3_o s_z the_o use_n of_o the_o rectify_v table_n note_v that_o the_o minute_n under_o the_o respective_a year_n be_v to_o be_v add_v or_o substract_v to_o or_o from_o the_o sun_n declination_n in_o the_o former_a table_n as_o be_v note_v with_o the_o letter_n a_o or_o s_o and_o also_o note_v that_o the_o first_o figure_n in_o each_o month_n stand_v for_o the_o first_o 10_o day_n of_o the_o month_n and_o the_o second_o for_o the_o second_o 10_o day_n &_o the_o three_o for_o the_o last_o 10_o day_n except_o in_o march_n or_o september_n which_o in_o march_n will_v be_v the_o first_o 9_o day_n only_o and_o in_o september_n the_o first_o 12_o day_n example_n i_o will_v know_v the_o sun_n declination_n the_o 15_o day_n of_o may_n 1668._o now_o because_o this_o day_n of_o the_o month_n fall_v in_o the_o second_o 10_o day_n i_o look_v in_o the_o table_n under_o the_o year_n 1663._o and_o right_a against_o may_v you_o shall_v find_v that_o in_o the_o second_o place_n of_o the_o month_n stand_v 6_o a_o which_o show_v i_o that_o i_o must_v add_v 6_o minute_n to_o the_o sun_n declination_n in_o the_o former_a table_n 21_o degree_n 5_o min._n that_o stand_v against_o the_o 15_o day_n of_o may_n and_o then_o i_o find_v that_o the_o sun_n will_v have_v 21_o deg_n 11_o min._n of_o north_n declination_n and_o so_o for_o the_o rest_n which_o will_v never_o differ_v above_o two_o minute_n from_o the_o truth_n but_o seldom_o so_o much_o and_o for_o the_o most_o part_n true_a note_v that_o the_o former_a table_n of_o the_o sun_n declination_n be_v fit_v exact_o for_o the_o year_n 1666._o by_o the_o rule_n mr._n wright_n give_v in_o his_o correction_n of_o error_n and_o from_o his_o table_n and_o may_v indifferent_o serve_v for_o the_o year_n 1658_o 1662._o 1670_o 1674_o without_o any_o sensible_a error_n and_o the_o table_n of_o right_a ascension_n will_v not_o vary_v a_o minute_n of_o time_n in_o many_o year_n finis_fw-la error_n in_o the_o horizontal_n quadrant_n page_n 5_o line_n 6_o in_o a_o italian_a letter_n shall_v not_o have_v be_v distinct_a nor_o 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