deg_n 40_o min_fw-mi with_o the_o pole_n elevation_n 57_o deg_n 10_o min._n we_o may_v find_v the_o difference_n assentionall_a to_o be_v 57_o deg_n 55_o min_fw-mi in_o time_n 3_o how_o 52_o min_fw-mi which_o add_v to_o 6_o how_o the_o sum_n be_v 9_o how_o 52_o min._n add_v to_o 4_o how_o in_o the_o morning_n the_o moon_n come_v to_o the_o meridian_n giveth_z 13_o how_o 52_o min._n or_o 52_o min._n past_o 1_o how_o afternoon_n and_o substract_v from_o 4_o leave_v 6_o how_o 8_o min._n at_o which_o time_n the_o moon_n will_v rise_v the_o former_a day_n in_o the_o afternoon_n as_o for_o the_o horizontall_a refraction_n and_o parallax_n be_v of_o no_o great_a concernment_n in_o this_o matter_n to_o handle_v any_o further_a i_o desist_v last_o i_o will_v advise_v seaman_n that_o be_v verse_v in_o the_o principle_n oâ—_n navigation_n as_o in_o the_o sphere_n and_o glob_n to_o furnish_v themselves_o with_o ephemerides_n either_o argol_n or_o john_n gadbury_n their_o ephemerides_n which_o will_v continue_v these_o 28_o year_n wherein_o they_o may_v have_v the_o true_a place_n of_o the_o luminary_n with_o the_o moon_n latitude_n for_o the_o meridian_n or_o 12_o a_o cloak_n each_o day_n sect_n ix_o a_o declaration_n for_o the_o better_a understanding_n of_o these_o everlasting_a table_n for_o the_o ebb_n and_o flood_n follow_v if_o you_o be_v desirous_a at_o any_o time_n to_o know_v when_o iâ—_n be_v a_o full-sea_n or_o high_a water_n at_o any_o port_n or_o haven_n either_o in_o scotland_n england_n france_n or_o ireland_n or_o any_o other_o part_n of_o the_o world_n if_o first_o by_o your_o own_o knowledge_n or_o the_o knowledge_n of_o any_o expert_a mariner_n you_o know_v when_o you_o see_v the_o moon_n in_o such_o a_o part_n of_o the_o firmament_n that_o then_o it_o be_v ful-sea_n at_o such_o a_o port_n or_o haven_n than_o these_o table_n shall_v be_v needless_a for_o you_o but_o if_o you_o can_v so_o do_v and_o will_v learn_v then_o resort_v to_o this_o table_n and_o first_o consider_v with_o yourself_o how_o many_o day_n old_a the_o moon_n be_v the_o day_n that_o you_o desire_v to_o know_v the_o tide_n and_o in_o the_o middle_n of_o this_o table_n you_o shall_v find_v in_o the_o uppermost_a part_n thereof_o this_o tittle_n the_o age_n of_o the_o moon_n and_o right_o against_o the_o day_n of_o the_o age_n of_o the_o moon_n you_o shall_v find_v on_o both_o side_n the_o place_n and_o point_n of_o the_o firmament_n as_o south_n south_n by_o west_n south_n south-west_n etc._n etc._n and_o next_o under_o that_o line_n be_v these_o letter_n ho._n and_o min._n which_o signify_v hour_n and_o minute_n then_o have_v in_o memory_n the_o age_n of_o the_o moon_n as_o aforesaid_a go_v direct_o to_o the_o tittle_n of_o that_o place_n of_o the_o firmament_n to_o the_o which_o when_o the_o moon_n come_v make_v a_o high_a water_n and_o there_o you_o shall_v find_v the_o exact_a hour_n and_o minute_n when_o it_o be_v ful-sea_n in_o that_o place_n as_o for_o example_n where_o it_o flow_v south_n by_o west_n as_o at_o aberdeen_n i_o desire_v to_o know_v at_o what_o time_n it_o will_v be_v full-sea_n at_o that_o place_n the_o 10_o day_n of_o the_o moon_n i_o apply_v myself_o to_o the_o table_n and_o i_o find_v the_o flow_n at_o aberdeen_n south_n by_o west_n then_o look_v in_o the_o column_n of_o the_o age_n of_o the_o moon_n i_o find_v the_o day_n of_o the_o moon_n 10_o and_o right_a against_o the_o same_o upon_o the_o left_a hand_n i_o find_v 8_o hour_n 45_o minute_n at_o which_o time_n in_o the_o evening_n it_o will_v be_v full-sea_n at_o that_o place_n but_o if_o it_o be_v the_o 25_o day_n of_o the_o moon_n you_o shall_v find_v the_o same_o flow_v to_o be_v at_o 8_o hour_n 45_o minute_n in_o the_o morning_n another_o example_n where_o it_o flow_v south-west_n by_o south_n as_o at_o lie_v i_o desire_v to_o know_v at_o what_o time_n it_o will_v be_v full-sea_n at_o that_o place_n the_o say_v 10_o day_n of_o the_o moon_n i_o apply_v myself_o to_o the_o table_n and_o i_o find_v the_o flow_n at_o lie_v south-west_n by_o south_n then_o look_v in_o the_o column_n of_o the_o age_n of_o the_o moon_n i_o find_v the_o day_n of_o the_o moon_n 10_o and_o right_a against_o the_o same_o upon_o the_o right_a hand_n i_o find_v 10_o hour_n 15_o minute_n at_o which_o time_n in_o the_o evening_n it_o will_v be_v full-sea_n at_o that_o place_n but_o if_o it_o be_v the_o 25_o day_n of_o the_o moon_n you_o shall_v find_v the_o same_o flow_v 10_o be_v at_o 10_o hour_n 15_o minute_n in_o the_o morning_n and_o according_o throughout_o these_o follow_a everlasting_a tyde-table_n at_o buchamness_n and_o all_o the_o southside_n of_o the_o murray-firth_n cromarty_n millorchy_n inverness_n findorne_v spey_n bamff_n peterhead_n isle_n of_o wight_n at_o deal_n at_o dover-peer_n on_o the_o coast_n of_o flanders_n etc._n etc._n at_o newbrugh_n aberdeen_n stoâ—hyve_n redbane_n at_o flushing_n within_o the_o maes_n at_o maldox_n at_o the_o west-end_n of_o the_o nower_n at_o blacktail_n at_o rochester_n at_o winchelsey_n and_o within_o terveer_n etc._n etc._n the_o age_n of_o the_o moon_n at_o montrose_n the_o out-end_n of_o â—ay_n st._n andrews_n cryle_n eâ—ster_n and_o all_o along_o the_o coast_n of_o â—isse_n to_o brunt_n island_n before_o gaurie_n and_o at_o gravesend_n under_o holy-island_n and_o at_o horn_n etc._n etc._n at_o lie_v in_o the_o firth_n at_o dundee_n brunt_n island_n holy-island_n st._n lucas_n without_o bluet_n at_o denby_n without_o fountnay_a at_o lisbon_n before_o the_o weiling_n etc._n etc._n south_n s._n by_o w._n ☽_o ☽_o s._n s._n w._n s._n w._n by_o s._n north._n n._n by_o e._n n._n n._n e._n n._n e._n by_o n._n ho._n min._n ho._n min._n in._n de._n ho._n min._n ho._n min._n 12_o 48_o 1_o 33_o 1_o 16_o 2_o 18_o 3_o 3_o 1_o 36_o 2_o 21_o 2_o 17_o 3_o 6_o 3_o 51_o 2_o 24_o 3_o 9_o 3_o 18_o 3_o 54_o 4_o 39_o 3_o 12_o 3_o 57_o 4_o 19_o 4_o 42_o 5_o 27_o 4_o 0_o 4_o 45_o 5_o 20_o 5_o 30_o 6_o 15_o 4_o 48_o 5_o 33_o 6_o 21_o 6_o 18_o 7_o 3_o 5_o 36_o 6_o 21_o 7_o 22_o 7_o 6_o 7_o 51_o 6_o 24_o 7_o 9_o 8_o 23_o 7_o 54_o 8_o 39_o 7_o 12_o 7_o 57_o 9_o 24_o 8_o 42_o 9_o 27_o 8_o 0_o 8_o 45_o 10_o 25_o 9_o 30_o 10_o 15_o 8_o 48_o 9_o 33_o 11_o 26_o 10_o 18_o 11_o 3_o 9_o 36_o 10_o 21_o 12_o 27_o 11_o 6_o 11_o 51_o 10_o 24_o 11_o 9_o 13_o 28_o 11_o 54_o 12_o 39_o 11_o 12_o 11_o 57_o 14_o 29_o 12_o 42_o 1_o 27_o 12_o 0_o 12_o 45_o 15_o 30_o 1_o 30_o 2_o 15_o at_o ennerkything_n quensferrie_n sy_n margarets-hoop_n borrowstonness_n lyme-kills_a &_o all_o above_o inâ—hgarvie_n except_o stirling-bridge_n at_o london_n and_o before_o newcastle_n at_o amsterdan_n &_o armentier_n etc._n etc._n from_o buchan-ness_a and_o all_o alongst_o the_o coast_n without_o above_o the_o may_v or_o highland_n in_o the_o south-firth_n and_o from_o flambrough-head_n to_o birdle_v tun_n bay_fw-mi without_o ostend_n at_o breast_n before_o the_o bass_n etc._n etc._n the_o age_n of_o the_o moon_n a_o little_a off_o the_o shore_n before_o humber_n between_o brid_n lington_a and_o lowerness_n at_o landsend_n of_o golph_n from_o ostend_n to_o st_n catherine_n at_o aberwark_n in_o the_o bree_n sound_n baltimore_n mousehole_n dungarvan_n etc._n etc._n at_o arbroth_n falmouth_n between_o silly_a and_o lizard_n in_o milford_n moonless_a st._n maloes_n at_o caldy_n and_o in_o the_o bay_n of_o canaruan_n at_o the_o mouth_n of_o severn_n foy_n humber_n newcastle_n garnsey_n and_o wales_n etc._n etc._n s._n w._n s._n w_n by_o w._n ☽_o ☽_o w._n s._n w._n w._n by_o s._n n._n e._n n._n e._n by_o e._n e_o n._n e._n e._n by_o n._n ho._n min._n ho._n min._n in._n de._n ho._n min._n ho._n min._n 3_o 48_o 4_o 33_o 1_o 16_o 5_o 18_o 6_o 3_o 4_o 36_o 5_o 21_o 2_o 17_o 6_o 6_o 6_o 51_o 5_o 24_o 6_o 9_o 3_o â—8_o 6_o 54_o 7_o 39_o 6_o 12_o 6_o 57_o 4_o 19_o 7_o 42_o 8_o 27_o 7_o 0_o 7_o 45_o 5_o 20_o 8_o 30_o 9_o 15_o 7_o 48_o 8_o 33_o 6_o 21_o 9_o 18_o 10_o 3_o 8_o 36_o 9_o 21_o 7_o 22_o 10_o 6_o 10_o 51_o 9_o 24_o 10_o 9_o 8_o 23_o 10_o 54_o 11_o 39_o 10_o 12_o 10_o 57_o 9_o 24_o 11_o 42_o 12_o 27_o 11_o 0_o 11_o 45_o 10_o 25_o 12_o 30_o 1_o 15_o 11_o 48_o 12_o 33_o 11_o 26_o 1_o 18_o 2_o 3_o 12_o 36_o 1_o 21_o 12_o 27_o 2_o 6_o 2_o 51_o 1_o 24_o 2_o 9_o 13_o 28_o 2_o 54_o 3_o 39_o 2_o 12_o 2_o 57_o 14_o 29_o 3_o 42_o 4_o 27_o 3_o 0_o 3_o 45_o 15_o 30_o 4_o 30_o 5_o 15_o at_o lin_n half-tyde_n weighmouth_n wells_n and_o waterford_n hull_n londey_n
the_o mariner_n everlasting_a almanac_n wherein_o be_v set_v down_o diverse_a motion_n of_o the_o moon_n with_o rule_n and_o table_n for_o find_v her_o age_n every_o day_n and_o when_o she_o come_v to_o the_o meridian_n also_o the_o time_n of_o her_o true_a rise_n and_o set_v full_o examplify_v and_o prove_v together_o with_o everlasting_a tyde-table_n contain_v the_o true_a ebb_n and_o flow_n throughout_o the_o most_o part_n of_o the_o seaport_n and_o town_n in_o europe_n as_o also_o a_o excellent_a table_n show_v the_o exact_a rise_n and_o set_v of_o the_o sun_n for_o every_o five_o day_n with_o the_o degree_n proper_a to_o the_o sun_n place_n and_o last_o a_o pleasant_a dialogue_n contain_v some_o orthographical_a and_o steriographicall_a question_n with_o several_a other_o useful_a thing_n most_o necessary_a for_o the_o good_a of_o this_o nation_n but_o more_o especial_o for_o the_o use_n of_o our_o gallant_a seaman_n calculate_v for_o the_o latitude_n of_o 57_o degree_n 10_o minute_n by_o john_n forbes_n printer_n to_o bon-accord_n &_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d the_o second_o edition_n much_o correct_v and_o enlarge_v aberdeen_n print_v by_o the_o author_n printer_n to_o the_o town_n and_o university_n anno_fw-la 1683._o god_n save_o king_n charles_n long_o may_v he_o live_v and_o reign_v with_o all_o that_o race_n by_o who_o we_o do_v enjoy_v much_o grace_n and_o peace_n insignia_fw-la vrbis_fw-la abredonie_n apelles_n stair_v long_o do_v look_v upon_o the_o learning_n policy_n and_o generous_a mind_n of_o that_o brave_a city_n place_v betwixt_o d_o you_o and_o do_v but_o how_o to_o paint_v it_o he_o can_v never_o find_v for_o still_o he_o stand_v in_o judge_v which_o of_o three_o a_o court_n a_o college_n or_o a_o burgh_n it_o be_v floreat_n bon-accordia_a to_o his_o worthy_a and_o much_o respect_a good_a friend_n captain_n john_n tyler_n at_o lie_v sir_n have_v hear_v of_o your_o fame_n and_o of_o your_o industrious_a and_o vigilant_a endeavour_n into_o the_o mathematical_a rare_a invention_n even_o in_o your_o young_a year_n and_o especial_o into_o that_o famous_a and_o noble_a art_n of_o navigation_n and_o that_o from_o the_o mouth_n of_o a_o credible_a person_n who_o be_v at_o that_o time_n a_o teacher_n of_o the_o mathematics_n at_o london_n have_v therefore_o make_v bold_a though_o unacquainted_a to_o present_v you_o with_o a_o second_o edition_n of_o this_o enchiridion_n or_o small_a treatise_n to_o be_v shelter_v under_o the_o protection_n of_o your_o patrociny_n who_o i_o trust_v be_v able_a to_o defend_v and_o assist_v i_o in_o truth_n and_o verity_n against_o all_o malevolent_a and_o backbiting_a opposer_n who_o through_o their_o blind_a ignorance_n do_v false_o check_v we_o of_o truth_n and_o some_o small_a oversight_n as_o may_v be_v see_v into_o the_o tyde-table_n of_o lie_v print_v into_o a_o almanac_n at_o edinburgh_n for_o this_o present_a year_n 1683_o set_v forth_o by_o james_n paterson_n mathematician_n wherefore_o expect_v your_o favourable_a acceptance_n of_o this_o small_a embryo_n which_o shall_v ere_o long_o encourage_v i_o to_o publish_v abroad_o a_o large_a treatise_n on_o that_o excellent_a art_n of_o navigation_n for_o the_o special_a use_n of_o all_o our_o loyal_a brave_a seaman_n and_o mariner_n who_o painful_a labour_n tend_v much_o for_o the_o good_a of_o this_o ancient_a kingdom_n thus_o wish_v you_o and_o all_o the_o worthy_a fraternity_n of_o master_n of_o the_o trinitie-house_n at_o lie_v all_o happiness_n here_o in_o this_o world_n and_o eternal_a mansion_n of_o joy_n in_o the_o world_n to_o come_v i_o ever_o remain_v sir_n your_o humble_a servant_n john_n forbes_n printer_n to_o bon-accord_n a_o introduction_n to_o the_o perpetual_a tyde-table_n or_o table_n of_o ebb_a and_o flow_v in_o the_o most_o special_a seaport_n in_o europe_n there_o be_v diverse_a motion_n of_o the_o moon_n be_v 15_o in_o number_n account_v by_o ricciolus_n in_o his_o almagesto_fw-la novo_fw-la astronomiae_n lib._n 4._o cap._n 18._o but_o here_o i_o intend_v to_o treat_v of_o those_o motion_n that_o be_v most_o useful_a for_o seaman_n and_o mariner_n according_a as_o their_o daily_a practice_n do_v require_v section_n i._n the_o first_o motion_n of_o the_o moon_n the_o first_o motion_n of_o the_o moon_n call_v the_o diurnal_a oâ—_n daily_a motion_n be_v the_o revolution_n of_o the_o moon_n from_o the_o east_n to_o the_o west_n and_o from_o thence_o to_o the_o east_n in_o 24_o hour_n or_o rather_o almost_o in_o 25_o hour_n so_o that_o the_o moon_n in_o this_o motion_n be_v slow_a of_o all_o the_o sideâ—iall_a body_n not_o follow_v altogether_o the_o motion_n of_o primum_fw-la mobile_n in_o 24_o hour_n for_o if_o the_o moon_n be_v observe_v to_o be_v in_o conjunction_n with_o any_o fix_a star_n this_o night_n the_o next_o night_n follow_v she_o shall_v be_v find_v to_o be_v distant_a from_o the_o same_o 13_o degree_n 10_o minute_n 35_o second_o to_o which_o in_o the_o aequator_fw-la answer_v to_o 52_o min_fw-mi of_o time_n this_o motion_n be_v her_o proper_a middle_a motion_n iâ—_n longitude_n perform_v under_o the_o zodiac_n because_o a_o former_o i_o have_v mention_v she_o perform_v 13_o degree_n 10_o minute_n 35_o second_o by_o her_o middle_a motion_n which_o be_v betwixt_o the_o slow_a and_o the_o swift_a and_o pass_v through_o the_o zodiac_n in_o 27_o day_n 7_o hour_n 43_o minute_n and_o this_o space_n of_o time_n be_v call_v the_o periodicall_a month_n but_o because_o the_o sun_n move_v daily_o in_o the_o eccliptick_a 59_o min_fw-mi 8_o sec_fw-la 20_o three_o towards_o the_o east_n therefore_o the_o sun_n motion_n be_v substract_v from_o the_o middle_a motion_n of_o the_o moon_n in_o longitude_n there_o shall_v remain_v the_o distance_n of_o the_o moon_n from_o the_o sun_n 12_o degree_n 11_o minute_n 26_o second_o 41_o three_o sect_n ii_o the_o second_o motion_n of_o the_o moon_n the_o synodical_a month_n or_o month_n of_o conjunction_n be_v long_o than_o the_o periodical_a month_n because_o the_o moon_n be_v in_o conjunction_n with_o the_o sun_n as_o admit_v in_o the_o first_o of_o aries_n the_o moon_n have_v prescribe_v her_o motion_n through_o the_o zodiac_n in_o 27_o day_n 7_o hour_n 43_o minute_n do_v not_o find_v the_o sun_n in_o this_o point_n of_o the_o zodiac_n because_o the_o sun_n since_o the_o last_o conjunction_n be_v pass_v towards_o the_o east_n therefore_o that_o there_o may_v be_v a_o conjunction_n of_o the_o sun_n with_o the_o moon_n she_o be_v to_o pass_v a_o whole_a sign_n almost_o before_o she_o can_v come_v to_o be_v in_o conjunction_n with_o the_o sun_n and_o this_o be_v call_v lunatio_fw-la vera_fw-la but_o if_o we_o have_v respect_n to_o the_o true_a motion_n the_o space_n of_o the_o middle_a lunation_n be_v 29_o day_n 12_o hour_n the_o long_a 30_o day_n the_o short_a 28_o day_n 23_o hour_n from_o hence_o it_o follow_v that_o 12_o synodical_a month_n make_v a_o lunar_a year_n to_o consist_v of_o 354_o day_n but_o the_o solar_a year_n consist_v of_o 365_o day_n 5_o hour_n 4â—_n minute_n make_v the_o difference_n 11_o day_n be_v call_v the_o epact_n which_o be_v 〈◊〉_d â—â—ference_n betwixt_o the_o solar_a and_o lunar_a year_n sect_n iii_o the_o three_o motion_n of_o the_o moon_n the_o three_o motion_n be_v the_o motion_n of_o the_o nod_n of_o the_o circle_n of_o the_o moon_n contrare_fw-la to_o the_o order_n of_o the_o sign_n for_o the_o orbite_n of_o the_o moon_n be_v incline_v to_o the_o plain_a of_o the_o eccliptick_a by_o a_o angle_n of_o 5_o degree_n in_o new_a and_o full-moon_n or_o 5_o deg_n 18_o min._n in_o the_o quarter_n which_o latitude_n of_o 5_o degree_n be_v the_o great_a be_v call_v the_o belly_n of_o the_o dragon_n because_o of_o the_o similitude_n they_o have_v with_o a_o dragon_n or_o serpent_n as_o be_v form_v by_o the_o peripherie_n of_o the_o lunar_a eccliptick_a with_o the_o peripherie_n of_o the_o orbite_n of_o the_o moon_n the_o one_o be_v call_v the_o north_n and_o the_o other_o the_o south_n the_o point_n wherein_o there_o be_v no_o latitude_n or_o where_o the_o orbite_n of_o the_o way_n of_o the_o moon_n cut_v the_o eccliptick_a be_v immediate_o oppose_v be_v call_v the_o nod_n whereof_o the_o one_o be_v call_v the_o northern_a and_o ascendent_a because_o to_o we_o that_o be_v to_o the_o north_n ward_n it_o be_v always_o high_o ascend_v towards_o our_o pole_n and_o zenith_n and_o therefore_o it_o be_v call_v caput_fw-la draconis_fw-la or_o head_n of_o the_o dragon_n mark_v thus_o ☊_o the_o other_a node_n or_o intersection_n be_v call_v southren_n descend_v or_o the_o tail_n of_o the_o dragon_n mark_v thus_o ☋_o these_o nod_n or_o point_n of_o the_o intersection_n near_o about_o which_o fall_v out_o the_o eclipse_n of_o the_o sun_n and_o moon_n be_v observe_v to_o move_v contrare_fw-la to_o the_o order_n
of_o the_o sign_n the_o middle_a motion_n of_o the_o same_o be_v 3_o minute_n 10_o second_o 38_o three_o at_o near_a so_o that_o they_o will_v absolve_v their_o period_n of_o motion_n through_o the_o eccliptick_a about_o 18_o year_n 228_o day_n 3_o hour_n 50_o minute_n but_o according_a to_o copernicus_n in_o 18_o year_n 223_o day_n 6_o hour_n 12_o minute_n this_o motion_n by_o some_o be_v think_v to_o be_v equal_a but_o tycho_n do_v find_v the_o same_o unequal_a where_o you_o be_v here_o to_o observe_v that_o your_o golden_a number_n be_v compose_v of_o this_o motion_n be_v the_o space_n of_o 19_o year_n that_o the_o nod_n do_v make_v their_o revolution_n in_o 19_o year_n and_o how_o to_o find_v the_o same_o as_o also_o the_o epact_n whereby_o we_o may_v find_v the_o age_n of_o the_o moon_n sect_n iv._o how_o to_o find_v the_o golden-number_n as_o also_o to_o know_v at_o what_o time_n the_o moon_n come_v to_o the_o meridian_n first_o find_v the_o golden-number_n which_o be_v have_v 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decreass_n of_o the_o moon_n age_n as_o also_o in_o the_o three_o and_o four_o â—he_v hour_n and_o minute_n that_o the_o moon_n do_v come_v to_o the_o meridian_n for_o if_o thâ—_n moon_n be_v increase_v aâ—_n you_o may_v see_v by_o the_o letter_n je_fw-fr at_o the_o head_n of_o thâ—_n first_o column_n the_o hourâ—_n and_o minute_n against_o thâ—_n same_o be_v the_o time_n of_o the_o moon_n come_v to_o the_o meridian_n in_o the_o afternoon_n but_o if_o the_o moonâ—_n be_v decrease_v as_o you_o may_v see_v at_o the_o head_n oâ—_n the_o second_o column_n by_o the_o letter_n de._n then_o the_o hour_n and_o minute_n show_v the_o time_n of_o the_o moon_n come_v to_o the_o meridian_n in_o the_o morning_n the_o moon_n be_v age_n â_o moon_n come_v to_o meridian_n moon_n be_v age_n ☽_o in._n ☽_o de._n ☽_o ho._n min._n 1_o 16_o 0_o 48_o 29_o 2_o 17_o 1_o 36_o 28_o 3_o 18_o 2_o 24_o 27_o 4_o 19_o 3_o 12_o 26_o 5_o 20_o 4_o 00_o 25_o 6_o 21_o 4_o 48_o 24_o 7_o 22_o 5_o 36_o 23_o 8_o 23_o 6_o 24_o 22_o 9_o 24_o 7_o 12_o 21_o 10_o 25_o 8_o 00_o 20_o 11_o 26_o 8_o 48_o 19_o 12_o 27_o 9_o 36_o 18_o 13_o 28_o 10_o 24_o 17_o 14_o 29_o 11_o 12_o 16_o 15_o 30_o 12_o 00_o 15_o example_n the_o 5_o day_n and_o the_o 20_o day_n of_o the_o moon_n i_o desire_v to_o know_v the_o moon_n come_v to_o the_o meridian_n i_o find_v for_o both_o these_o day_n 4_o hour_n show_v that_o the_o 5_o day_n the_o moon_n come_v to_o the_o meridian_n at_o 4_o hour_n afternoon_n and_o the_o 20_o day_n at_o 4_o hour_n in_o the_o morning_n the_o column_n of_o hour_n and_o minute_n be_v have_v by_o multiply_v the_o moon_n age_n by_o 4_o and_o divyde_v the_o product_n by_o 5_o and_o if_o any_o remain_v over_o the_o division_n be_v the_o numerator_n of_o the_o fraction_n and_o for_o every_o unite_v account_v 12_o minute_n so_o you_o shall_v have_v the_o hour_n and_o minute_n of_o the_o moon_n be_v come_v to_o the_o meridian_n as_o in_o the_o table_n you_o may_v find_v as_o for_o example_n the_o 7_o day_n of_o the_o 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2_o how_o 15_o min._n for_o 3_o point_n of_o the_o comâ—ass_n because_o westward_o flow_n to_z 5_o how_o 36_o min._n â—he_v sum_n shall_v be_v 7_o how_o 51_o min._n at_o which_o time_n it_o will_v be_v full-sea_n at_o lie_v sect_n vii_o how_o to_o find_v the_o rise_n and_o set_v of_o the_o moon_n last_o to_o know_v at_o what_o hour_n the_o moon_n set_v or_o rise_v for_o any_o day_n of_o her_o age_n for_o which_o purpose_n this_o small_a treatise_n be_v intend_v you_o may_v accept_v of_o the_o second_o use_n of_o this_o table_n in_o which_o first_o you_o may_v know_v how_o long_o the_o moon_n will_v shine_v or_o remain_v above_o the_o horizon_n from_o the_o conjunction_n or_o change_n to_o the_o full_a by_o know_v the_o moon_n age_n in_o the_o first_o column_n and_o against_o the_o same_o in_o the_o three_o and_o four_o column_n you_o shall_v have_v the_o hour_n and_o minute_n that_o the_o moon_n do_v shine_v or_o remain_v after_o the_o sun_n set_v which_o be_v add_v to_o the_o set_n 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8._o cap._n 12_o â—nd_v from_o other_o as_o be_v mention_v by_o ricciolus_n in_o his_o astronomy_n lib._n 4._o cap._n 4_o prob._n 12._o which_o rule_n although_o not_o exact_a yet_o may_v serve_v for_o vulgar_a use_n for_o â—s_a the_o learned_a kepler_n do_v observe_v concern_v this_o rule_n of_o plinius_n that_o medium_fw-la inter_fw-la ejus_fw-la enormia_fw-la tenet_fw-la a_o more_o exact_a and_o certain_a way_n may_v be_v have_v for_o the_o â—ime_n of_o rise_v and_o set_v of_o the_o moon_n by_o know_v â—he_n place_n of_o the_o moon_n in_o the_o ecliptic_a which_o be_v â—ad_v for_o the_o time_n you_o require_v the_o moon_n rise_v and_o â—etting_v you_o be_v to_o apply_v yourself_o to_o the_o last_o table_n of_o the_o sun_n rise_v and_o set_v and_o there_o find_v the_o sign_n and_o degree_n the_o moon_n be_v into_o at_o the_o time_n require_v â—r_o when_o the_o moon_n come_v to_o the_o meridian_n by_o the_o â—â—rst_a table_n with_o the_o sign_n and_o degree_n then_o look_v â—or_a the_o sun_n set_v be_v in_o the_o same_o sign_n and_o deâ—ree_n which_o be_v substract_v from_o her_o come_n to_o the_o meridian_n give_v the_o time_n of_o the_o moon_n rise_v and_o be_v add_v give_v the_o time_n of_o her_o set_n alsâ—_n which_o shall_v be_v evident_a by_o the_o follow_a example_n for_o which_o purpose_n i_o have_v add_v a_o second_o table_n show_v the_o moon_n motion_n in_o sign_n degree_n and_o minute_n for_o every_o day_n and_o hour_n of_o she_o age._n observe_v the_o 12_o sign_n with_o their_o mark_n and_o respective_a month_n the_o first_o 6_o being_n n._n northern_a and_o the_o last_o s._n southern_a also_o there_o be_v 12_o word_n in_o a_o verse_n for_o the_o 12_o month_n each_o of_o they_o beginning_n with_o a_o vowel_n except_o the_o last_o p._n in_o paradise_n a_o consonant_n be_v for_o february_n and_o signify_v the_o 8_o day_n of_o february_n that_o the_o ☉_o sun_n will_v enter_v ♓_o piscesâ—â—or_n â—or_z the_o rest_n add_v the_o number_n of_o the_o beginning_n vowel_n of_o each_o word_n to_o 8_o the_o sum_n shall_v be_v the_o day_n of_o the_o month_n that_o the_o ☉_o sun_n enter_v the_o respective_a sign_n as_o e_z in_o evil_a be_v the_o second_o vowel_n with_o 8_o giveth_z 10_o the_o day_n of_o march_n the_o sun_n enter_v ♈_o aries_n as_o also_o o_o in_o object_n be_v the_o 4_o vowel_n add_v to_o 8_o be_v 12_o show_v the_o sun_n to_o enter_v ♋_o cancer_n the_o 12_o of_o june_n and_o so_o according_o in_o all_o the_o rest_n the_o six_o northern_a sign_n march_v april_n may_n june_n july_n august_n ♈_o aries_n ♉_o taurus_n ♊_o gemini_fw-la ♋_o cancer_n ♌_o leo_n â™_o virgo_fw-la 2_o evil_a 1_o attend_v 3_o its_z 4_o object_n 5_o unvail_v 5_o vice_n the_o six_o southern_a sign_n septem_fw-la octo._n novem._n decem._n januar_fw-la februar_n ♎_o libra_n â™_o scorpio_n â™_o sagit_n ♑_o capri._n â™’_o aqua_n ♓_o pisces_fw-la 5_o vain_a 5_o villain_n 3_o jest_n 3_o into_z 1_o a_o 8_o paradise_n a_o table_n show_v the_o moon_n be_v motion_n in_o sign_n degree_n and_o minute_n for_o every_o day_n and_o hour_n of_o her_o age._n the_o day_n of_o the_o moon_n be_v age._n â_o age_n si._n deg._n min._n 1_o 0_o 13_o 11_o 2_o 0_o 26_o 21_o 3_o 1_o 9_o 32_o 4_o 1_o 22_o 42_o 5_o 2_o 5_o 53_o 6_o 2_o 19_o 3_o 7_o 3_o 2_o 14_o 8_o 3_o 15_o 25_o 9_o 3_o 28_o 35_o 10_o 4_o 11_o 46_o 11_o 4_o 24_o 56_o 12_o 5_o 8_o 7_o 13_o 5_o 21_o 18_o 14_o 6_o 4_o 28_o 15_o 6_o 17_o 39_o 16_o 7_o 0_o 49_o 17_o 7_o 14_o 0_o 18_o 7_o 27_o 11_o 19_o 8_o 10_o 21_o 20_o 8_o 23_o 32_o 21_o 9_o 0_o 42_o 22_o 9_o 19_o 53_o 23_o 10_o 3_o 3_o 24_o 10_o 16_o 14_o 25_o 10_o 29_o 25_o 26_o 11_o 12_o 35_o 27_o 11_o 29_o 46_o 28_o 0_o 8_o 56_o 29_o 0_o 22_o 7_o 30_o  _fw-fr  _fw-fr  _fw-fr the_o hour_n of_o the_o moon_n be_v age._n ho._n deg._n min._n 1_o 0_o 33_o 2_o 1_o 6_o 3_o 1_o 39_o 4_o 2_o 12_o 5_o 2_o 45_o 6_o 3_o 18_o 7_o 3_o 51_o 8_o 4_o 24_o 9_o 4_o 56_o 10_o 5_o 29_o 11_o 6_o 2_o 12_o 6_o 35_o 13_o 7_o 8_o 14_o 7_o 41_o 15_o 8_o 14_o 16_o 8_o 47_o 17_o 9_o 20_o 18_o 9_o 53_o 19_o 10_o 26_o 20_o 10_o 59_o 21_o 11_o 32_o 22_o 12_o 5_o 23_o 12_o 38_o 24_o 13_o 11_o the_o use_n of_o this_o table_n be_v as_o follow_v and_o first_o observe_v that_o the_o sun_n and_o moon_n be_v both_o in_o one_o sign_n and_o degree_n at_o the_o change_n and_o conjunction_n which_o you_o may_v have_v by_o your_o yearly_a almanac_n or_o ephemeris_fw-la as_o in_o the_o year_n 1683_o i_o find_v the_o conjunction_n or_o change_n to_o be_v the_o 14_o of_o july_n at_o 2_o in_o the_o morning_n the_o minute_n be_v omit_v as_o of_o no_o great_a concernment_n in_o this_o matter_n then_o from_o 2_o in_o the_o morning_n to_o 12_o at_o midday_n there_o be_v 10_o hour_n to_o the_o which_o answer_v the_o hour_n of_o the_o moon_n age_n 5_o degree_n 29_o minute_n which_o be_v add_v to_o 1_o degree_n 3_o minute_n of_o leo_n the_o sign_n and_o degree_n the_o sun_n and_o moon_n be_v into_o at_o the_o change_n the_o sum_n be_v 6_o degree_n 32_o minute_n and_o this_o be_v the_o place_n of_o the_o moon_n the_o 14_o of_o july_n at_o noon_n but_o with_o more_o certainty_n by_o a_o ephemeris_fw-la into_o the_o 7_o deg_n of_o leo_n the_o 14_o day_n at_o noon_n second_o i_o desire_v to_o know_v the_o moon_n place_n the_o 25_o of_o july_n so_o then_o between_o the_o 14_o of_o july_n and_o the_o 25_o be_v 11_o day_n inclusive_a
and_o in_o the_o table_n of_o the_o day_n of_o the_o moon_n age_n be_v 4_o sign_n 25_o degree_n last_o see_v the_o moon_n come_v to_o the_o meridian_n the_o 11_o day_n at_o 8_o hour_n 48_o minute_n to_o the_o which_o do_v answer_v near_o in_o the_o table_n of_o hour_n 4_o degree_n 56_o minute_n these_o four_o be_v add_v together_o  _fw-fr s._n d._n m._n first_o the_o ☽_o being_n in_o the_o 1_o deg_n 3_o min_fw-mi of_o ☊_o being_z 4_o 1_o 3_o second_o from_o 2_o morning_n to_o noon_n be_v 10_o hour_n 0_o 5_o 29_o three_o the_o 11_o day_n at_o noon_n 4_o 25_o 00_o last_o for_o 11_o day_n in_o the_o first_o table_n 8_o ho_o 48_o min._n be_v 0_o 4_o 56_o the_o sum_n be_v 9_o 6_o 28_o and_o this_o much_o for_o the_o first_o way_n these_o 9_o sign_n 6_o deg_n 28_o min._n show_v the_o moon_n to_o be_v in_o the_o year_n 1683_o july_n 25_o into_o the_o 6_o degree_n 28_o minute_n of_o capricorn_n minute_n be_v omit_v in_o both_o so_o the_o difference_n be_v but_o small_a and_o no_o wonder_n that_o there_o be_v a_o difference_n the_o ephemeris_fw-la by_o calculation_n be_v more_o exact_a than_o that_o which_o we_o can_v expect_v from_o this_o enchiridion_n where_o you_o be_v to_o observe_v have_v find_v the_o place_n of_o the_o moon_n which_o if_o it_o have_v exceed_v 12_o sign_n you_o be_v then_o to_o subtract_v 12_o and_o the_o remainder_n count_v from_o aries_n inclusive_a shall_v be_v the_o moon_n place_n but_o have_v find_v the_o same_o to_o be_v in_o the_o 7_o degree_n of_o capricorn_n and_o the_o sun_n in_o the_o same_o by_o the_o last_o table_n of_o the_o sun_n rise_v and_o set_v you_o shall_v find_v the_o sun_n be_v in_o the_o 7_o degree_n of_o capricorn_n to_o set_v in_o the_o latitude_n of_o 57_o deg_n 10_o min._n at_o 3_o how_o 15_o min._n which_o be_v add_v to_o 8_o how_o 48._o min._n the_o moon_n come_v to_o the_o meridian_n show_v the_o set_n of_o the_o moon_n to_o be_v at_o 12_o how_o 3_o min._n about_o midnight_n and_o be_v substract_v from_o 8_o how_o 48_o min._n the_o remainder_n be_v 5_o how_o 33_o min._n for_o the_o rise_n of_o the_o moon_n in_o the_o afternoon_n and_o according_o you_o may_v know_v the_o rise_n and_o set_v for_o any_o other_o day_n of_o her_o age_n either_o increase_a or_o decrease_v upon_o these_o ground_n a_o instrument_n may_v be_v make_v for_o perform_v of_o the_o same_o without_o table_n and_o this_o much_o for_o the_o second_o way_n the_o three_o way_n in_o the_o same_o year_n 1683_o december_n 17_o being_n the_o 10_o day_n of_o the_o moon_n and_o come_v to_o the_o meridian_n at_o 8_o a_o clock_n in_o the_o afternoon_n i_o find_v the_o moon_n to_o be_v in_o 23_o degree_n of_o aries_n have_v 5_o degree_n 16_o minute_n south-latitude_n which_o be_v substract_v from_o 8_o degree_n 58_o minute_n the_o sun_n declination_n be_v in_o 23_o of_o aries_n be_v 3_o degree_n 42_o minute_n which_o may_v be_v call_v the_o moon_n declination_n or_o distance_n from_o the_o equinoctial_a northerly_a though_o not_o propper_o because_o the_o latitude_n of_o the_o moon_n or_o star_n be_v say_v to_o be_v a_o arch_n of_o a_o great_a circle_n contain_v between_o the_o body_n of_o the_o moon_n or_o star_n and_o the_o eccliptick_a pass_v by_o the_o eccliptick_a pole_n and_o the_o declination_n a_o arch_n of_o a_o great_a circle_n contain_v between_o the_o body_n of_o sun_n moon_n or_o star_n and_o the_o equinoctial_a pass_v by_o the_o pole_n of_o the_o world_n but_o the_o difference_n between_o the_o two_o arch_n be_v small_a and_o of_o no_o great_a consequence_n to_o this_o matter_n we_o look_v in_o the_o table_n of_o declination_n for_o 3_o deg_n 42_o min._n in_o aries_n in_o which_o sign_n and_o degree_n the_o sun_n be_v set_v about_o 6_o how_o 10_o min._n which_o add_v to_o 8_o how_o the_o moon_n come_v to_o the_o meridian_n the_o sum_n be_v 14_o how_o 10_o min._n or_o 2_o how_o 10_o min._n in_o the_o morning_n the_o moon_n will_v set_v and_o be_v substract_v from_o 8_o how_o the_o remainder_n 1_o how_o 50_o min._n for_o her_o rise_a afternoon_n now_o by_o the_o second_o way_n wherein_o there_o be_v no_o respect_n have_v to_o the_o latitude_n of_o the_o moon_n we_o find_v the_o sun_n be_v in_o 23_o deg_n of_o aries_n to_o have_v his_o half_a semidiurnall_a arch_n 6_o how_o 56_o min._n which_o be_v add_v to_o 8_o how_o the_o moon_n come_v to_o the_o meridian_n give_v 14_o how_o 56_o min._n for_o her_o set_n and_o substract_v from_o 8_o how_o giveth_z 1_o how_o 4_o min._n this_o be_v a_o error_n ought_v to_o be_v serious_o consider_v as_o not_o be_v tollorable_a the_o half_a semidiurnall_a arch_n only_o be_v 6_o how_o 10_o min._n and_o not_o 6_o how_o 56_o min._n by_o consider_v the_o latitude_n have_v former_o make_v mention_n that_o the_o moon_n latitude_n be_v add_v or_o substract_v from_o the_o moon_n true_a declination_n of_o longitude_n the_o difference_n be_v of_o no_o great_a consequence_n as_o i_o shall_v illustrate_v in_o these_o follow_a case_n suppose_v the_o moon_n longitude_n to_o be_v in_o the_o 15_o degree_n of_o taurus_n sect_n viii_o a_o description_n of_o the_o follow_v spherical_a triangle_n let_v there_o be_v a_o oblique_a spherical_a triangle_n as_o a_o b_o c_o project_v in_o the_o plain_a of_o the_o solistitiallâ—olure_n either_o orthographice_n according_a to_o ptolemy_n analemma_n or_o steriographice_v according_a to_o gemma_fw-la â—risius_fw-la his_o astrolob_n the_o arch_a a_o b_o shall_v represent_v the_o distance_n between_o the_o two_o pole_n to_o wit_n of_o â—he_n diurnal_a and_o annual_a motion_n be_v 23_o deg_n 30_o min._n b_o c_o a_o arch_n of_o the_o co._n latitude_n of_o the_o moon_n â—nd_v a_o c_o of_o the_o co._n declination_n dat._n a_o b_o the_o angle_z at_z b_o and_o b_o c_o to_o find_v a_o c_o or_o compliment_n be_v the_o declination_n of_o the_o moon_n north_n ☽_o lat._n ☽_o decl._n decl._n 15_o ♉_o add_v diff_n deg._n deg_n min._n deg_n min._n min_fw-mi 5_o 21_o 8_o 21_o 24_o 16_o 4_o 20_o 11_o 20_o 24_o 13_o 3_o 19_o 14_o 19_o 24_o 10_o 2_o 18_o 16_o 18_o 24_o 8_o 1_o 17_o 19_o 17_o 24_o 5_o south_n ☽_o lat._n ☽_o decl._n substracted_a diff_n deg._n deg_n min._n deg_n min._n min_fw-mi 5_o 11_o 35_o 16_o 24_o 11_o 4_o 12_o 32_o 16_o 24_o 8_o 3_o 13_o 30_o 16_o 24_o 6_o 2_o 14_o 27_o 16_o 24_o 3_o 1_o 15_o 24_o 16_o 24_o 0_o these_o two_o table_n i_o have_v compose_v for_o show_v of_o the_o difference_n between_o the_o moon_n declination_n be_v have_v by_o the_o resolution_n of_o the_o former_a triangle_n and_o the_o place_n of_o the_o moon_n in_o the_o eccliptick_a have_v either_o n._n or_o s._n latitude_n as_o for_o example_n i_o have_v take_v the_o moon_n longitude_n to_o be_v in_o the_o 15_o deg_n of_o taurus_n who_o declination_n be_v 16_o deg_n 24_o min_fw-mi in_o the_o first_o table_n there_o be_v 5_o column_n first_o the_o moon_n latitude_n to_o 5_o deg_n of_o n._n latitude_n second_o the_o moon_n declination_n three_o the_o declination_n of_o the_o 15_o deg_n of_o taurus_n be_v 16_o deg_n 24_o min._n add_v to_o 5_o deg_n of_o n._n latitude_n give_v 21_o deg_n 24_o min._n the_o difference_n from_o the_o moon_n declination_n 21_o deg_n 8_o min._n be_v only_o 16_o min._n and_o â—hat_n for_o the_o five_o column_n and_o so_o according_o in_o all_o â—he_v rest_n the_o second_o table_n where_o the_o moon_n have_v south_n latitude_n the_o moon_n be_v in_o the_o same_o degree_n of_o â—he_n eccliptick_a according_a to_o her_o longitude_n you_o have_v â—n_v the_o first_o column_n as_o former_o the_o moon_n latitude_n s._n second_o the_o moon_n declination_n and_o three_o the_o declination_n of_o 15_o deg_n of_o taurus_n from_o which_o if_o you_o subtract_v â—he_v moon_n latitude_n the_o remainder_n shall_v be_v 11_o deg_n 24_o min_fw-mi differ_v from_o the_o moon_n declination_n 11_o min._n what_o i_o have_v say_v here_o concern_v n._n or_o s._n latitude_n in_o the_o northern_a sign_n may_v be_v apply_v to_o n._n or_o s._n latitude_n in_o southern_a sign_n but_o if_o it_o be_v require_v when_o the_o declination_n with_o the_o latitude_n add_v be_v more_o than_o 23_o deg_n 30_o min._n as_o i_o suppose_v the_o moon_n to_o be_v in_o the_o 25_o deg_n of_o gemini_fw-la have_v declination_n 23_o deg_n 26_o min._n north_n and_o the_o latitude_n 5_o deg_n 16_o min._n north_n the_o sum_n be_v 28_o deg_n 26_o min_fw-mi now_o to_o know_v the_o 20_o day_n of_o the_o moon_n at_o what_o time_n the_o moon_n rise_v and_o set_v have_v find_v the_o declination_n of_o the_o moon_n by_o what_o former_o have_v be_v say_v to_o be_v 28_o
at_o mathews_n and_o within_o mount_v bay_n at_o the_o cleft_n of_o the_o texel_n in_o the_o vourd_a at_o the_o bay_n within_o vshant_fw-mi in_o the_o sea_n of_o wales_n and_o severn_n at_o yough-hall_n before_o scarbrough_n at_o seven-isle_n without_o the_o haven_n in_o the_o broad_a sound_n at_o lawren_n in_o cork-haven_n w._n by_o s._n or_o e._n by_o n._n moon_n at_o arâ—roth_n at_o caldy_n and_o in_o the_o bay_n of_o canaruan_n at_o the_o fourn_n in_o foy_n at_o falmouth_n at_o garnsey_n at_o humber_n in_o all_o the_o havens_n on_o the_o south_n coast_n of_o ireland_n thwart_v of_o londey_n and_o before_o line_n in_o malford_n at_o moonless_a at_o st._n maloes_n at_o newcastle_n in_o plymouth_n and_o before_o st._n paul_n in_o ramsey_n at_o the_o mouth_n of_o severn_n between_o silly_a and_o the_o lizard_n at_o the_o spurn_n in_o wales_n at_o merles_n and_o all_o along_o the_o coast_n of_o bristol_n e._n or_o w._n moon_n at_o abermorick_n and_o antwerp_n before_o bremen_n and_o at_o blackney_n in_o the_o channel_n before_o bourdeaux_n and_o at_o bristol_n at_o concallo_n at_o dartmouth_n before_o hambrough_n at_o hull_n at_o the_o holms_n and_o before_o humber_n mouth_n at_o lin_n half_a side_n at_o londey_n at_o st_n paul_n in_o the_o haven_n without_o silly_a in_o the_o channel_n and_o at_o salcomb_n in_o torbay_n and_o before_o the_o tessell_n without_o vshant_n at_o well_n at_o weighmouth_n and_o at_o waterford_n and_o st._n davids-head_n e._n by_o saint_n or_o w._n by_o n._n moon_n at_o bristol-key_n between_o foy_n and_o falmouth_n in_o the_o channel_n and_o at_o foulness_n at_o lime_n before_o st._n nicolas_n before_o podessinsk_n in_o russia_n at_o sedmouth_n and_o at_o the_o start_n at_o weighmouth-key_n e._n s_o e._n or_o w._n n._n w._n moon_n at_o bridgwater_n at_o cape_n clear_a before_o the_o coast_n of_o friezland_n and_o the_o fly_n at_o kilduyn_n at_o the_o lizard_n by_o the_o land_n between_o musehole_n and_o falmouth_n and_o in_o milford_n haven_n thwart_v of_o plymouth_n off_o the_o start_n in_o the_o channel_n in_o the_o road_n of_o the_o texel_n at_o the_o ness_n by_o wieringben_n and_o at_o winterton_n at_o exwater_n at_o landsend_n s._n e._n by_o e._n or_o n._n w._n by_o w._n moon_n between_o beachy_a and_o the_o isle_n of_o wight_n without_o the_o casket_n in_o the_o channel_n at_o dublin_n without_o the_o fly_n at_o lambey_n in_o st._n magnes_n sound_v at_o machnells_n castle_n at_o the_o needle_n at_o isle_n of_o wight_n thwart_v of_o the_o isle_n of_o wight_n in_o the_o channel_n all_o within_o the_o isle_n of_o wight_n between_o the_o isle_n of_o wight_n and_o beachy_a by_o the_o shore_n at_o yarmouth_n at_o peterport_n at_o harflew_v at_o the_o hague_n s._n e._n or_o n._n w._n moon_n at_o penthland-firth_n at_o kirkwa_n at_o elwick_n at_o the_o mull-head_n at_o catness_n at_o orkney_n the_o bass-island_n at_o dumbar_n at_o kildren_n at_o the_o isle_n of_o man_n between_o garnsey_n and_o the_o casket_n before_o cromer_n before_o the_o casket_n and_o garnsey_n at_o seven-clift_n before_o the_o eastern_a and_o western_a emes_n and_o at_o egmont_n at_o frieze_n and_o fair-isle_n between_o garnsey_n and_o casket_n at_o harlem_n and_o at_o homehead_n at_o kildive_n at_o the_o race_n of_o portland_n within_o the_o seyn_n before_o schelbagh_n and_o at_o seven_o cliff_n at_o the_o east_n end_n of_o the_o weight_n and_o on_o wieringen-flat_n at_o pool_n at_o farro-head_n in_o the_o channel_n between_o farro_n head_n and_o the_o mull_n of_o kintire_n s._n e._n by_o s._n or_o n_o w._n by_o n._n moon_n at_o alborough_n at_o the_o casket_n and_o at_o chamberness_n at_o dungeness_n and_o dunnose_n thwart_v of_o garnsey_n in_o the_o channel_n at_o leystaff_n and_o thwart_v of_o it_o without_o the_o bank_n at_o orfordness_a at_o shoram_n at_o tergow_n at_o deep_a s._n s._n e._n or_o n._n n._n w._n moon_n bulleyn_n deep_a at_o cow_n in_o the_o foss_n of_o caen_n in_o calais_n ride_v and_o in_o chamberness-road_n at_o dover_n and_o in_o the_o down_n in_o the_o freith_n and_o at_o the_o south-foreland_n at_o st._n helen_n at_o harwich_n and_o without_o the_o bank_n of_o harwich_n in_o leystaff_n ride_v and_o at_o long-sand-head_n all_o the_o coast_n of_o normandy_n and_o picardy_n at_o orfordness_n without_o the_o bank_n and_o between_o orford_n and_o orwell-wave_n at_o seyn-head_n in_o yarmouth_n ride_v and_o in_o yarmouth-haven_n at_o brassie-sound_a at_o st._n johns-deluce_n at_o caâ—estoun_n and_o at_o scraâ—sler_n s._n by_o e._n or_o n._n by_o w._n moon_n before_o the_o haven_n of_o caven_n in_o the_o chamber_n between_o cripple_n sand_n and_o the_o creyl_n and_o at_o culshot_n in_o fair-isle_n roads_n and_o at_o the_o north-foreland_n in_o the_o chamber_n and_o goreâ—end_v at_o harwich_n within_o before_o margate_n between_o the_o naze_n and_o warhead_n of_o lower_n at_o orfordness_n within_o the_o sand_n at_o rye_n and_o into_o thames-road_n at_o calshot_n a_o table_n show_v the_o exact_a rise_n and_o set_v of_o the_o sun_n for_o every_o five_o day_n of_o each_o month_n with_o the_o degree_n of_o the_o twelve_o sign_n proper_a to_o the_o suns-place_n for_o the_o lat._n of_o 57_o degree_n janvary_n sun_n place_n day_n of_o the_o monoth_n the_o sun_n rise_v the_o sun_n set_v 22_o ♑_o 1_o 8_o hour_n 32_o min_n 3_o hour_n 28_o min._n 26_o 5_o 8_o hour_n 24_o min._n 3_o hour_n 36_o min_n 1_o â™’_o 10_o 8_o hour_n 18_o min_n 3_o hour_n 42_o min._n 6_o 15_o 8_o hour_n 6_o min._n 3_o hour_n 54_o min_n 11_o 20_o 7_o hour_n 55_o min._n 4_o hour_n 5_o min._n 16_o 25_o 7_o hour_n 46_o min._n 4_o hour_n 14_o min._n febrvary_n sun_n place_n day_n of_o the_o month_n the_o sun_n rise_v the_o sun_n set_v 22_o ♑_o 1_o 7_o hour_n 29_o min._n 4_o hour_n 31_o min._n 27_o 5_o 7_o hour_n 20_o min._n 4_o hour_n 40_o min._n 2_o â—â—_o 10_o 7_o hour_n 8_o min._n 4_o hour_n 52_o min._n 7_o 15_o 6_o hour_n 54_o min._n 5_o hour_n 6_o min._n 12_o 20_o 6_o hour_n 44_o min._n 5_o hour_n 16_o min._n 17_o 25_o 6_o hour_n 31_o min._n 5_o hour_n 29_o min._n march_n sun_n place_n day_n of_o the_o month_n the_o sun_n rise_v the_o sun_n set_v 21_o â—â—_o 1_o 6_o hour_n 22_o min._n 5_o hour_n 38_o min._n 25_o 5_o 6_o hour_n 12_o min._n 5_o hour_n 48_o min._n 1_o â—â—_o 10_o 6_o hour_n 0_o min._n 6_o hour_n 0_o min._n 5_o 15_o 5_o hour_n 48_o min._n 6_o hour_n 12_o min._n 10_o 20_o 5_o hour_n 36_o min._n 6_o hour_n 24_o min._n 15_o 25_o 5_o hour_n 23_o min._n 6_o hour_n 37_o min._n april_n sun_n place_n day_n of_o the_o month_n the_o sun_n rise_v the_o sun_n set_v 22_o ♈_o 1_o 5_o hour_n 7_o min._n 6_o hour_n 53_o min._n 26_o 5_o 5_o hour_n 0_o min._n 7_o hour_n 0_o min._n 1_o ♉_o 10_o 4_o hour_n 47_o min._n 7_o hour_n 13_o min._n 5_o 15_o 4_o hour_n 35_o min_n 7_o hour_n 25_o min._n 10_o 20_o 4_o hour_n 26_o min._n 7_o hour_n 34_o min._n 15_o 25_o 4_o hour_n 12_o min._n 7_o hour_n 48_o min._n may._n sun_n place_n day_n of_o the_o month_n the_o sun_n rise_v the_o sun_n set_v 21_o ♉_o 1_o 4_o hour_n 0_o min._n 8_o hour_n 0_o min._n 25_o 5_o 3_o hour_n 52_o min._n 8_o hour_n 8_o min._n 30_o 10_o 3_o hour_n 42_o min._n 8_o hour_n 18_o min._n 4_o ♊_o 15_o 3_o hour_n 36_o min_n 8_o hour_n 24_o min._n 6_o 20_o 3_o hour_n 27_o min._n 8_o hour_n 33_o min._n 14_o 25_o 3_o hour_n 20_o min._n 8_o hour_n 40_o min._n june_v sun_n place_n day_n of_o the_o month_n the_o sun_n rise_v the_o sun_n set_v 21_o ♊_o 1_o 3_o hour_n 15_o min._n 8_o hour_n 45_o min._n 24_o 5_o 3_o hour_n 13_o min._n 8_o hour_n 47_o min._n 27_o 10_o 3_o hour_n 12_o min_n 8_o hour_n 48_o min._n 4_o ♋_o 15_o 3_o hour_n 12_o min._n 8_o hour_n 48_o min._n 9_o 20_o 3_o hour_n 15_o min._n 8_o hour_n 45_o min._n 13_o 25_o 3_o hour_n 16_o min._n 8_o hour_n 42_o min._n july_n sun_n place_n day_n of_o the_o month_n the_o sun_n rise_v the_o sun_n set_v 19_o ♋_o 1_o 3_o hour_n 25_o min._n 8_o hour_n 35_o min._n 23_o 5_o 3_o hour_n 34_o min._n 8_o hour_n 26_o min._n 28_o 10_o 3_o hour_n 38_o min_n 8_o hour_n 22_o min._n 2_o ♌_o 15_o 3_o hour_n 47_o min._n 8_o hour_n 13_o min._n 7_o 20_o 3_o hour_n 56_o min_n 8_o hour_n 4_o min._n 12_o 25_o 4_o hour_n 6_o min._n 7_o hour_n 54_o min._n august_n sun_n place_n day_n of_o the_o month_n the_o sun_n rise_v the_o sun_n set_v 19_o ♌_o 1_o 4_o hour_n 21_o min._n 7_o hour_n 39_o min._n 23_o 5_o 4_o hour_n 33_o min._n 7_o hour_n 29_o min_n 27_o 10_o 4_o hour_n 40_o min_n 7_o hour_n 20_o min_n 2_o â™_o 15_o 4_o
hour_n 52_o min._n 7_o hour_n 8_o min_n 7_o 20_o 5_o hour_n 3_o min_n 6_o hour_n 57_o min._n 12_o 25_o 5_o hour_n 16_o min._n 6_o hour_n 44_o min._n september_n sun_n place_n day_n of_o the_o month_n the_o sun_n rise_v the_o sun_n set_v â—9_n â™_o 1_o 5_o hour_n 33_o min._n 6_o hour_n 27_o min._n 23_o 5_o 5_o hour_n 43_o min._n 6_o hour_n 17_o min._n 27_o 10_o 5_o hour_n 55_o min._n 6_o hour_n 5_o min._n 2_o ♎_o 15_o 6_o hour_n 4_o min_n 5_o hour_n 56_o min._n 7_o 20_o 6_o hour_n 17_o min._n 5_o hour_n 43_o min._n 12_o 25_o 6_o hour_n 29_o min._n 5_o hour_n 31_o min._n october_n sun_n place_n day_n of_o the_o month_n the_o sun_n rise_v the_o sun_n set_v 18_o ♎_o 1_o 6_o hour_n 44_o min._n 5_o hour_n 16_o min._n 22_o 5_o 6_o hour_n 53_o min._n 5_o hour_n 7_o min._n 27_o 10_o 7_o hour_n 6_o min._n 4_o hour_n 54_o min._n 2_o â™_o 15_o 7_o hour_n 15_o min._n 4_o hour_n 45_o min._n 7_o 20_o 7_o hour_n 29_o min._n 4_o hour_n 31_o min._n 12_o 25_o 7_o hour_n 41_o min._n 4_o hour_n 19_o min._n november_n sun_n place_n day_n of_o the_o month_n the_o sun_n rise_v the_o sun_n set_v 19_o â™_o 1_o 7_o ho._n 56_o min._n 4_o ho._n 4_o min._n 23_o 5_o 8_o ho._n 4_o min._n 3_o ho._n 56_o min._n 28_o 10_o 8_o ho._n 10_o min._n 3_o ho._n 50_o min._n 3_o â™_o 15_o 8_o ho._n 23_o min._n 3_o ho._n 37_o min._n 9_o 20_o 8_o ho._n 33_o min_n 3_o ho._n 27_o min._n 14_o 25_o 8_o ho._n 39_o min_n 3_o ho._n 21_o min._n december_n sun_n place_n day_n of_o the_o month_n the_o sun_n rise_v the_o sun_n set_v 20_o â™_o 1_o 8_o ho._n 4_o min._n 3_o ho._n 8_o min._n 24_o 5_o 8_o ho._n 47_o min_n 3_o ho._n 13_o min._n 29_o 10_o 8_o ho._n 48_o min._n 3_o ho._n 12_o min._n 1_o ♑_o 15_o 8_o ho._n 48_o min_n 3_o ho._n 12_o min._n 9_o 20_o 8_o ho._n 45_o min._n 3_o ho._n 15_o min._n 14_o 25_o 8_o ho._n 41_o min._n 3_o ho._n 19_o min._n thus_o courteous_a reader_n so_o much_o here_o be_v do_v which_o may_v please_v all_o save_v paterson_n alone_o therefore_o to_o our_o dialogue_n let_v we_o proceed_v in_o which_o i_o hope_v to_o clear_v myself_o indeed_o a_o mathematical_a dialogue_n betwixt_o james_n paterson_n mathematician_n at_o edinburgh_n and_o john_n forbes_n printer_n to_o aberdeen_n &_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d paterson_n i_o charge_v the_o printer_n with_o several_a error_n in_o his_o almanac_n set_v forth_o and_o print_v by_o he_o for_o the_o year_n 1683._o and_o first_o concern_v the_o eclipse_n which_o do_v fall_v out_o upon_o the_o 17_o day_n of_o januar_n in_o the_o afternoon_n wherein_o he_o be_v deficient_a in_o give_v the_o digit_n eclipse_v as_o also_o in_o reference_n to_o the_o time_n of_o the_o eclipse_n duration_n printer_n courteous_a reader_n i_o confess_v be_v about_o my_o serious_a employment_n in_o the_o print_n press_n i_o can_v not_o have_v leisure_n to_o calculate_v that_o eclipse_n but_o make_v use_v of_o several_a ephemerides_n as_o vincent_n wing_n and_o samuel_n morland_n etc._n etc._n and_o argolus_n do_v assert_v the_o digit_n eclipse_v to_o be_v 10_o and_o more_o john_n gadbury_n 9_o paterson_n 8_o dig_v 13_o min._n as_o for_o the_o time_n john_n gadbury_n say_v the_o middle_n will_v be_v at_o 3_o how_o afternoon_n the_o end_n at_o 4_o how_o 3_o min_fw-mi or_o after_o the_o go_v down_o of_o the_o sun_n for_o in_o the_o latitude_n of_o 57_o degree_n 10_o minute_n be_v for_o aberdeen_n the_o sun_n seat_v be_v in_o the_o 8_o degree_n of_o aquarius_n at_o 3_o how_o 57_o min._n but_o paterson_n say_v 10_o min._n before_o 4_o how_o at_o aberdeen_n which_o be_v near_o half_a a_o hour_n a_o prodigy_n which_o be_v never_o see_v the_o sun_n to_o set_v at_o 3_o how_o 30_o min._n at_o aberdeen_n but_o by_o reason_n of_o the_o refraction_n the_o sun_n may_v appear_v or_o show_v himself_o above_o the_o horizon_n when_o he_o be_v not_o if_o so_o the_o parallax_n be_v lesser_a than_o the_o refraction_n and_o so_o i_o may_v true_o and_o warrantable_o say_v the_o sun_n do_v set_v at_o aberdeen_n the_o 17_o day_n of_o januar_n at_o 4_o how_o 18_o min._n afternoon_n but_o grant_v i_o be_v redundant_fw-la in_o some_o minute_n but_o not_o so_o gross_o and_o as_o to_o say_v not_o so_o deficient_a as_o he_o be_v in_o say_v the_o sun_n be_v in_o the_o 8_o degree_n of_o aquarius_n seat_v at_o 3_o how_o 30_o min._n but_o in_o truth_n at_o 3_o how_o 57_o min._n but_o what_o do_v this_o concern_v i_o my_o antagonist_n can_v say_v there_o be_v any_o wrong_n do_v to_o the_o vulgar_a or_o horascopographier_n but_o as_o for_o that_o eclipse_n which_o by_o a_o telescope_n of_o 6_o foot_n long_o i_o do_v observe_v at_o the_o set_n of_o the_o sun_n and_o do_v not_o find_v above_o two_o digit_n of_o the_o sun_n body_n obscure_v with_o no_o apparent_a darkness_n or_o shadow_n of_o change_n by_o that_o eclipse_n it_o be_v as_o we_o all_o say_v to_o westward_o inhabitant_n but_o last_o i_o shall_v lay_v down_o some_o certain_a thing_n to_o be_v observe_v in_o go_v about_o this_o eclipse_n and_o some_o thing_n i_o shall_v demand_v of_o this_o mathematician_n in_o which_o i_o hope_v he_o will_v satisfy_v i_o except_o he_o be_v mathematicus_fw-la nomine_fw-la tenus_fw-la as_o i_o suppose_v for_o i_o shall_v be_v as_o laconic_a as_o i_o can_v intend_v not_o to_o trouble_v the_o reader_n with_o frivolous_a expression_n first_o suppose_v the_o middle_a time_n of_o the_o eclipse_n to_o be_v at_o 3_o a_o clock_n in_o the_o afternoon_n according_a to_o john_n gadbury_n first_o grant_v the_o true_a place_n of_o the_o luminary_n with_o the_o moâ—ns-latitude_n either_o by_o calculation_n or_o ephimerides_n second_o i_o find_v the_o right_a ascension_n of_o the_o sun_n in_o 8_o degree_n of_o aquarius_n to_o be_v 310_o degree_n add_v to_o 45_o degree_n or_o 3_o hour_n give_v 23_o how_o 42_o min._n which_o show_v the_o 25_o degree_n of_o pisces_fw-la to_o be_v on_o the_o meridian_n or_o medium_fw-la coeli_fw-la and_o the_o ascendent_n 28_o deg_n 28_o min._n of_o cancer_n and_o consequent_o the_o nonagisimo_fw-la degree_n fall_v in_o 28_o deg_n 28_o min._n of_o aries_n be_v east_n ward_n of_o the_o meridian_n 33_o deg_n 28_o min._n three_o the_o declination_n of_o the_o 25_o deg_n of_o pisces_fw-la add_v to_o 57_o deg_n 10_o min._n give_v 59_o deg_n 9_o min_fw-mi the_o arch_n of_o the_o meridian_n between_o the_o 25_o degree_n of_o pisces_fw-la and_o the_o zenith_n four_o the_o angle_n of_o the_o ecliptic_a with_o the_o meridian_n be_v 66_o deg_n 33_o min._n give_v the_o arch_n between_o the_o nonagesim_n and_o the_o zenith_n by_o say_v as_o r_o sine_fw-la 59_o deg_n 9_o minâ—â—_n sine_fw-la 66_o deg_n 33_o min_fw-mi sine_fw-la of_o 51_o deg_n 48_o min._n five_o have_v the_o true_a latitude_n of_o the_o moon_n with_o the_o parallax_n of_o altitude_n and_o have_v find_v the_o parallacticall_a angle_n that_o be_v to_o say_v the_o angle_n make_v by_o the_o ecliptic_a and_o vertical_a draw_v through_o the_o centre_n of_o the_o moon_n to_o be_v 52_o deg_n 11_o min._n sixthly_a the_o altitude_n of_o the_o sun_n be_v at_o 3_o hour_n in_o the_o afternoon_n in_o the_o latitude_n of_o 57_o deg_n 10_o min._n be_v 5_o deg_n 41_o min._n these_o be_v premise_v i_o desire_v to_o know_v of_o james_n paterson_n the_o parallax_n of_o altitude_n longitud_n right_a ascention_n and_o declination_n whereby_o we_o may_v know_v the_o time_n of_o the_o visible_a conjunction_n the_o beginning_n of_o the_o eclipse_n the_o middle_a and_o end_v end_n with_o the_o digit_n eclipse_v whither_o above_o or_o under_o the_o centre_n of_o the_o sun_n there_o be_v here_o require_v the_o resolution_n of_o several_a triangle_n wherein_o ex_fw-la tribus_fw-la datis_fw-la quartus_fw-la requiritur_fw-la either_o by_o calculation_n or_o projection_n paterson_n also_o he_o err_v again_o in_o his_o tyde-table_n at_o lie_v as_o if_o the_o moon_n be_v not_o able_a to_o rule_v the_o tide_n here_o as_o at_o aberdeen_n printer_n as_o for_o the_o flow_n at_o lie_v which_o he_o carp_v at_o they_o be_v not_o set_v down_o by_o myself_o at_o 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a_o degree_n upon_o the_o meridian_n to_o contain_v 367200_o foot_n english_a and_o a_o mile_n 6120_o so_o that_o a_o egyptian_a pace_n contain_v 6_o 15_o english_z and_o a_o egyptian_a foot_n 14_o 75_o english_a inch_n at_o near_a but_o pass_v the_o fraction_n we_o take_v in_o numero_fw-la roâ—undo_fw-la 6_o foot_n to_o the_o english_a pace_n and_o consequent_o 6000_o foot_n to_o a_o mile_n in_o english_a measure_n now_o let_v we_o compare_v scot_n with_o english_a and_o first_o you_o say_v that_o 37_o english_a inch_n according_a to_o your_o standard_n at_o edinburgh_n give_v a_o ell_n then_o a_o fall_v oâ—_n pole_n be_v 6_o ell_n give_v 2â—2_n inches_n 222_o by_o 4_o the_o length_n of_o a_o chain_n the_o product_n be_v 888_o which_o be_v multiply_v by_o 80_o give_v 71040_o and_o divyde_v by_o 12_o the_o quotient_n be_v 5920_o foot_n be_v short_a of_o 6000_o by_o 80_o foot_n again_o 42_o scots_a inch_n in_o a_o ell_n as_o of_o the_o old_a standard_n that_o be_v 3_o foot_n and_o a_o 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