because_o 12_o time_n 30_o do_v make_v 360_o whereas_o from_o the_o first_o of_o january_n to_o the_o twenty_o of_o december_n inclusive_o there_o be_v but_o 354_o day_n you_o must_v know_v that_o to_o gain_v the_o other_o six_o day_n the_o number_n 25_o and_o 24_o be_v in_o every_o other_o month_n both_o place_v against_o one_o day_n namely_o to_o february_n 5_o april_n 5_o june_n 3_o august_n 1_o september_n 29_o and_o november_n 27._o but_o why_o these_o two_o number_n be_v choose_v rather_o than_o any_o other_o and_o why_o in_o these_o 6_o month_n the_o number_n 25_o be_v sometime_o write_v to_o xvi_o sometime_o to_o xxv_o in_o a_o common_a character_n and_o why_o the_o number_n 19_o be_v set_v to_o the_o last_o day_n of_o december_n in_o a_o common_a character_n shall_v be_v declare_v hereafter_o 7._o here_o only_a note_n that_o this_o asterisk_n *_o be_v set_v instead_o of_o the_o epact_n 30_o because_o the_o epact_n show_v the_o number_n of_o day_n which_o do_v remain_v after_o the_o lunation_n in_o the_o month_n of_o december_n it_o may_v sometime_o fall_v out_o that_o 2_o lunation_n may_v so_o end_v that_o the_o one_o may_v require_v 30_o for_o the_o epact_n and_o the_o other_o 0_o which_o will_v if_o both_o be_v write_v cause_v some_o inconvenience_n and_o therefore_o this_o *_o asterisk_n be_v there_o set_v that_o it_o may_v indifferent_o serve_v to_o both_o and_o the_o epact_n 29_o be_v therefore_o set_v to_o the_o second_o day_n of_o january_n because_o after_o the_o complete_a lunation_n in_o the_o second_o of_o december_n there_o be_v 29_o day_n and_o for_o the_o like_a reason_n the_o epact_n 28_o be_v set_v against_o the_o three_o of_o january_n because_o after_o the_o complete_a lunation_n in_o the_o three_o of_o december_n there_o be_v then_o 28_o day_n over_o and_o so_o the_o rest_n in_o order_n till_o you_o come_v to_o the_o thirty_o of_o january_n where_o you_o find_v the_o epact_n 1._o because_o after_o the_o complete_a lunation_n on_o the_o thirty_o day_n there_o be_v only_o one_o day_n over_o 8._o and_o beside_o the_o show_n of_o the_o new_a moon_n in_o every_o month_n which_o be_v and_o may_v be_v do_v by_o the_o golden_a number_n the_o epact_n have_v this_o advantage_n that_o they_o may_v be_v perpetual_a and_o keep_v the_o same_o place_n in_o the_o calendar_n in_o all_o future_a age_n which_o can_v hardly_o be_v effect_v with_o the_o golden_a number_n for_o in_o little_a more_o than_o 700_o year_n the_o new_a moon_n do_v make_v a_o anticipation_n of_o one_o day_n and_o then_o it_o will_v be_v necessary_a to_o set_v the_o golden_a number_n one_o degree_n backward_o and_o so_o the_o golden_a number_n which_o at_o the_o time_n of_o the_o nicene_n council_n be_v set_v to_o the_o first_o of_o january_n shall_v in_o 300_o year_n be_v set_v to_o the_o last_o of_o december_n and_o so_o of_o the_o rest_n but_o the_o epact_n be_v once_o fix_v shall_v not_o need_v any_o such_o retraction_n or_o commutation_n for_o as_o often_o as_o the_o new_a moon_n do_v change_v their_o day_n either_o by_o anticipation_n or_o by_o suppression_n of_o the_o bissextile_a year_n you_o shall_v not_o need_v to_o do_v any_o more_o than_o to_o take_v another_o rank_n of_o 19_o epact_n instead_o of_o those_o which_o be_v before_o in_o use_n for_o instance_n the_o epact_n which_o be_v and_o have_v be_v in_o use_n in_o the_o church_n of_o rome_n since_o the_o year_n of_o reformation_n 1582_o and_o will_v continue_v till_o the_o year_n 1700_o be_v these_o 10_o follow_v 1._o 12._o 23._o 4._o 15._o 26._o 7._o 18._o 29._o 10._o 21._o 2._o 13._o 24._o 5._o 16._o 27._o 8._o 19_o and_o from_o the_o year_n 1700_o the_o epact_n which_o will_v be_v in_o use_n be_v these_o *_o 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 and_o shall_v continue_v not_o only_o to_o the_o year_n 1800_o but_o from_o thence_o until_o the_o year_n 1900_o also_o and_o although_o in_o the_o year_n 1800_o the_o bissextile_a be_v to_o be_v suppress_v yet_o be_v there_o a_o compensation_n for_o that_o suppression_n by_o the_o moon_n anticipation_n to_o make_v this_o a_o little_a more_o plain_a the_o motion_n of_o the_o moon_n which_o do_v occasion_n the_o change_n of_o the_o epact_n must_v be_v more_o full_o consider_v chap._n v._n of_o the_o moon_n mean_a motion_n and_o how_o the_o anticipation_n of_o the_o new_a moon_n may_v be_v discover_v by_o the_o epact_n the_o moon_n according_a to_o her_o middle_a motion_n do_v finish_v her_o course_n in_o the_o zodiac_n in_o 29_o day_n 12_o hour_n 44_o minute_n three_o second_n or_o thereabouts_o and_o therefore_o a_o common_a lunar_a year_n do_v consist_v of_o 354_o day_n 8_o hour_n 48_o minute_n 38_o second_o and_o some_o few_o three_o but_o a_o embolismical_a year_n do_v consist_v of_o 383_o day_n 21_o hour_n 32_o minute_n 41_o second_o and_o somewhat_o more_o and_o therefore_o in_o 19_o year_n it_o do_v exceed_v the_o motion_n of_o the_o sun_n 1_o hour_n 27_o minute_n 33_o second_n feré_fw-la 2._o hence_o it_o come_v to_o pass_v that_o although_o the_o new_a moon_n do_v after_o 19_o year_n return_n to_o the_o same_o day_n yet_o be_v there_o a_o anticipation_n of_o 1_o hour_n 27_o minute_n 33_o second_n and_o in_o twice_o 19_o year_n that_o be_v in_o 38_o year_n there_o be_v a_o anticipation_n of_o 2_o hour_n 55_o minute_n 6_o second_o and_o after_o 312_o year_n and_o a_o half_a there_o be_v a_o anticipation_n of_o one_o whole_a day_n and_o some_o few_o minute_n and_o therefore_o after_o 312_o year_n no_o new_a moon_n can_v happen_v upon_o the_o same_o day_n it_o do_v 19_o year_n before_o but_o a_o day_n soon_o hence_o it_o come_v to_o pass_v that_o in_o the_o julian_n calendar_n in_o which_o no_o regard_n be_v have_v to_o this_o anticipation_n the_o new_a moon_n find_v out_o by_o the_o golden_a number_n must_v needs_o be_v erroneous_a and_o from_o the_o time_n of_o the_o nicene_n council_n 4_o day_n after_o the_o new_a moon_n by_o a_o regular_a computation_n 3._o and_o hence_o it_o follow_v also_o that_o if_o the_o golden_a number_n after_o 312_o be_v upon_o due_a consideration_n remove_v a_o day_n forward_a or_o near_o the_o begin_n of_o the_o month_n they_o will_v show_v the_o new_a moon_n for_o 312_o year_n to_o come_v and_o be_v again_o remove_v after_o those_o year_n a_o day_n more_o will_v by_o the_o like_a reason_n do_v the_o same_o again_o but_o it_o be_v think_v more_o convenient_a so_o to_o dispose_v 30_o epact_n that_o they_o keep_v their_o constant_a place_n 19_o of_o they_o shall_v perform_v the_o work_n of_o the_o golden_a number_n until_o by_o this_o mean_n there_o shall_v be_v a_o anticipation_n of_o one_o day_n and_o when_o such_o a_o anticipation_n shall_v happen_v those_o 19_o epact_n be_v let_v alone_o other_o 19_o shall_v be_v use_v which_o do_v belong_v to_o the_o precede_a day_n without_o make_v any_o alteration_n in_o the_o calendar_n 4._o and_o if_o this_o anticipation_n will_v do_v the_o whole_a work_n nothing_o be_v more_o plain_a then_o to_o make_v that_o commutation_n of_o the_o 19_o epact_n once_o in_o 312_o year_n but_o because_o the_o detraction_n of_o the_o bissextile_a day_n do_v various_o interpose_v and_o cause_v the_o 19_o epact_n sometime_o to_o be_v change_v into_o these_o that_o do_v precede_v sometime_o into_o these_o that_o follow_v sometime_o into_o neither_o but_o to_o continue_v still_o the_o same_o therefore_o some_o table_n be_v to_o be_v make_v by_o which_o we_o may_v know_v when_o the_o commutation_n be_v to_o be_v make_v and_o into_o what_o epact_n 4._o first_o therefore_o there_o be_v make_v a_o table_n call_v tabula_fw-la epactarum_fw-la expansa_fw-la in_o this_o manner_n first_o on_o the_o top_n be_v place_v the_o 19_o golden_a number_n in_o order_n begin_v with_o the_o number_n 3_o which_o in_o the_o old_a calendar_n be_v place_v against_o the_o calends_o of_o january_n and_o under_o every_o one_o of_o these_o golden_a number_n there_o be_v place_v 30_o epact_n all_o constitute_v from_o the_o low_a number_n in_o the_o first_o rank_n in_o which_o the_o epact_n be_v 1_o and_o in_o that_o first_o rank_n the_o golden_a number_n be_v 3_o the_o rest_n from_o thence_o towards_o the_o right_a hand_n be_v make_v by_o the_o constant_a addition_n of_o it_o and_o the_o cast_v away_o of_o 30_o as_o often_o as_o they_o shall_v exceed_v that_o number_n only_o when_o you_o come_v to_o the_o 27_o the_o epact_n under_o the_o golden_a number_n 19_o there_o must_v be_v add_v 12_o instead_o of_o 11_o that_o so_o the_o epact_n follow_v may_v be_v 9_o not_o 8_o for_o the_o reason_n already_o give_v in_o this_o discourse_n concern_v the_o
t._n 72._o 195._o 10.49327695_o t_o ½_o x_o cru_n 69._o 306._o 10.42281009_o 2._o operation_n c_n ½_o z_o 80._o 49596._o comp._n arith._n 0.78170174_o c_n ½_o x_o 56._o 97096._o 9.73628614_o their_o sum_n 10.51798788_o to_o ½_o ♈_o t._n 72._o 195._o 10.49327695_o t_o ½_o z_o cru_n 84._o 34._o 11.01126483_o 1._o arch._n 69._o 306._o their_o sum_n be_v 53.740_o be_v the_o point_n of_o the_o ecliptic_a for_o the_o second_o house_n for_o the_o cusp_n of_o the_o three_o house_n in_o the_o oblique_a angle_a spherical_a triangle_n ♈_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d we_o have_v 1._o ♈_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 174._o 39_o the_o half_a whereof_o be_v 87._o 195._o the_o angl_n ♈_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d and_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d ♈_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d be_v the_o same_o with_o those_o of_o the_o eleven_o house_n s_o ½_o z._n 72._o 85437._o comp._n arith._n 0.01977580_o s_o ½_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 49._o 32937._o 6.88000800_o their_o sum_n 9.89978389_o to_o ½_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 87._o 195._o 11.30984054_o for_o the_o eleven_o house_n for_o the_o cusp_n of_o the_o twelve_o house_n in_o the_o oblique_a angle_a spherical_a triangle_n ♈_o kf_n we_o have_v give_v 1._o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d k._n 84._o 39_o the_o half_a whereof_o be_v 42._o 195._o 2._o ♈_o kt._n 137.46692_o  _fw-fr 3_o k_o ♈_o t._n 23.525_o to_o find_v ♈_o t._n z._n 160.99192_o ½_o z._n 80.49596_o x._o 113.94192_o ½_o x._o 56.97096_o s_o ½_o z._n 80._o 49596._o comp._n arith._n 0.00601663_o s_o ½_o x._o 56._o 97096._o 9.92351651_o t_o ½_o ♈_o k._n 42._o 195._o 9.95740882_o t_o ½_o x_o cru_n 37._o 625._o 9.88694196_o 2._o operation_n cs_n ½_o z._n 80._o 49596._o comp._n arith._n 0.78170174_o c_n ½_o x._o 56._o 97096._o 9.73628614_o t_o ½_o ♈_o k._n 42._o 195._o 9.95740882_o t_o ½_o z_o cru_n 71._o 496._o 10.47539670_o 1._o arch._n 37._o 625._o their_o sum_n 113.6691_o be_v the_o point_n of_o the_o ecliptic_a for_o the_o twelve_o house_n for_o the_o cusp_n of_o the_o ascendant_n in_o the_o oblique_a angle_a spherical_a triangle_n ♈_o agnostus_n we_o have_v 1._o ♈_o a._n 114._o 39_o the_o half_a whereof_o be_v 57_o 195._o 2._o ♈_o az_n 141._o 5333._o the_o compliment_n of_o haae_n 38._o 46667._o 3._o a_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d y._n 23._o 525._o  _fw-fr z._n 165.05833_o ½_o z._n 82.51916_o x._o 118.00833_o ½_o x._o 59.00416_o s._n ½_o z._n 82._o 51916._o comp._n arith._n 0_o 0037162â—_n s._n ½_o x._o 59_o 00416._o 9.93313477_o t_o ½_o ♈_o a._n 57_o 195._o 10.19072348_o t_o ½_o x._o 53._o 296._o 10.12757454_o 2._o operation_n t_o ½_o x_o cru_n 86._o 468._o 11.20962043_o 2._o operation_n c_n ½_o z._n 72._o 85437._o comp._n arith._n 0.53012277_o c_n ½_o x._o 49._o 32937._o 9.81395860_o their_o sum_n 10.34408137_o to_o ½_o ♈_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 87._o 195._o 11.39984054_o t_o ½_o x_o cru_n 88_o 729._o 11.65392191_o 1._o arch._n 86._o 468._o their_o sum_n 175.197_o be_v the_o point_n of_o the_o ecliptic_a for_o the_o three_o house_n and_o thus_o we_o have_v not_o only_o erect_v a_o figure_n for_o the_o time_n give_v but_o compose_v a_o table_n for_o the_o general_a erect_n of_o a_o figure_n in_o that_o beatitude_n for_o by_o add_v together_o the_o first_o and_o second_o number_n in_o each_o proportion_n for_o the_o first_o second_o and_o three_o house_n there_o be_v compose_v two_o number_n for_o each_o house_n to_o each_o of_o which_o the_o artificial_a tangent_fw-la of_o half_a the_o ascension_n of_o each_o house_n be_v add_v their_o aggregate_n be_v the_o tangent_n of_o two_o arch_n which_o be_v add_v together_o do_v give_v the_o distance_n of_o the_o cusp_n of_o the_o house_n from_o the_o first_o point_n of_o aries_n as_o in_o the_o precede_a operation_n have_v be_v show_v only_o note_n that_o if_o the_o ascension_n of_o any_o house_n be_v more_o than_o a_o semicircle_n you_o must_v take_v the_o tangent_fw-la of_o half_a the_o compliment_n to_o a_o whole_a circle_n and_o to_o find_v the_o cusp_n of_o the_o house_n you_o must_v also_o take_v the_o compliment_n of_o the_o sum_n of_o the_o arch_n add_v together_o the_o number_n according_a to_o the_o former_a operation_n which_o do_v constitute_v a_o table_n of_o house_n for_o the_o latitude_n of_o london_n 51._o 53_o be_v as_o follow_v  _fw-fr 11_o and_o 3_o house_n ascendant_n 12_o and_o 2_o house_n 1._o oper._n 9.89978389_o 9.93685106_o 9.92953314_o 2._o oper._n 10.34408137_o 10.59682651_o 10.51798788_o the_o six_o oriental_a house_n by_o the_o precede_a operation_n the_o opposite_a house_n be_v in_o the_o opposite_a sign_n and_o degree_n 10_o house_n ♈_o 26.311_o 11_o house_n ♊_o 10.803_o 12_o house_n ♋_o 23.691_o ascendant_n ♌_o 11.693_o 2_o house_n â™_o 3.740_o 3_o house_n â™_o 25.197_o 4_o house_n ♎_o 26.311_o 5_o house_n â™_o 10.803_o 9_o house_n ♑_o 23.691_o 7_o house_n â™’_o 11.693_o 8_o house_n ♓_o 3.740_o 9_o house_n ♓_o 25.197_o a_o figure_n of_o the_o twelve_o celestial_a house_n astronomy_n the_o second_o part_n or_o a_o account_n of_o the_o civil_a year_n with_o the_o reason_n of_o the_o difference_n between_o the_o julian_n &_o gregorian_a calendar_n and_o the_o manner_n of_o compute_v the_o place_n of_o the_o sun_n and_o moon_n london_n print_v for_o thomas_n passenger_n at_o the_o three_o bibles_n on_o london-bridge_n 1679._o a_o introduction_n to_o astronomy_n the_o second_o book_n chap._n i._n of_o the_o year_n civil_a and_o astronomical_a have_v show_v the_o motion_n of_o the_o primum_fw-la mobile_n or_o doctrine_n of_o the_o sphere_n which_o i_o call_v the_o absolute_a part_n of_o astronomy_n i_o come_v now_o unto_o the_o comparative_a that_o be_v to_o show_v the_o motion_n of_o the_o star_n in_o reference_n to_o some_o certain_a distinction_n of_o time_n 2._o and_o the_o distinction_n of_o time_n be_v to_o be_v consider_v either_o according_a to_o nature_n or_o according_a to_o institution_n 3._o the_o distinction_n of_o time_n according_a to_o nature_n be_v that_o space_n of_o time_n in_o which_o the_o planet_n do_v finish_v their_o periodical_a revolution_n from_o one_o certain_a point_n in_o the_o zodiac_n to_o the_o same_o again_o and_o this_o in_o reference_n to_o the_o sun_n be_v call_v a_o year_n in_o reference_n to_o the_o moon_n a_o month._n 4._o the_o sun_n do_v pass_v through_o the_o zodiac_n in_o 365_o day_n 5_o hour_n and_o 49_o minute_n and_o the_o moon_n do_v finish_v her_o course_n in_o the_o zodiac_n and_o return_v into_o conjunction_n with_o the_o sun_n in_o 29_o day_n 12_o hour_n 44_o minute_n and_o 4_o second_o and_o from_o the_o motion_n of_o these_o two_o planet_n the_o civil_a year_n in_o every_o nation_n do_v receive_v its_o institution_n 5._o twelve_o moon_n or_o month_n be_v the_o measure_n of_o the_o common_a year_n in_o turkey_n in_o every_o month_n they_o have_v 29_o or_o 30_o day_n in_o the_o whole_a year_n 354_o day_n and_o in_o every_o three_o year_n 355_o day_n 6._o the_o persian_n and_o egyptian_n do_v also_o account_v 12_o month_n to_o their_o year_n but_o their_o month_n be_v proportion_v to_o the_o time_n of_o the_o sun_n continuance_n in_o every_o of_o the_o twelve_o sign_n in_o their_o year_n therefore_o which_o be_v solar_a there_o be_v always_o 365_o day_n that_o be_v eleven_o day_n more_o than_o the_o lunar_a year_n 7._o and_o the_o julian_n year_n which_o be_v the_o account_n of_o all_o christendom_n do_v differ_v from_o the_o other_o in_o this_o that_o by_o reason_n of_o the_o sun_n excess_n in_o motion_n above_o 365_o day_n which_o be_v 5_o hour_n 49_o minute_n it_o have_v a_o day_n intercalate_v once_o in_o 4_o year_n and_o by_o this_o intercalation_n it_o be_v more_o agreeable_a to_o the_o motion_n of_o the_o sun_n than_o the_o former_a and_o yet_o there_o be_v a_o considerable_a difference_n between_o they_o which_o have_v occasion_v the_o church_n of_o rome_n to_o make_v some_o further_a amendment_n of_o the_o solar_a year_n but_o have_v not_o bring_v it_o to_o that_o exactness_n which_o may_v be_v wish_v 8._o this_o intercalation_n of_o one_o day_n once_o in_o 4_o year_n do_v occasion_n the_o sunday_n letter_n still_o to_o alter_v till_o 28_o year_n be_v go_v about_o the_o day_n of_o the_o week_n which_o use_n to_o be_v sign_v by_o the_o seven_o first_o letter_n in_o the_o alphabet_n do_v not_o fall_v alike_o in_o every_o common_a year_n but_o because_o the_o year_n consist_v of_o 52_o week_n and_o one_o day_n sunday_n this_o year_n will_v fall_v out_o upon_o the_o next_o year_n monday_n and_o so_o forward_o for_o seven_o year_n but_o every_o four_o year_n consist_v of_o 52_o week_n and_o two_o day_n do_v occasion_n the_o sunday_n letter_n to_o alter_v till_o four_o time_n seven_o year_n that_o be_v till_o 28_o year_n
christi_fw-la 622._o you_o must_v convert_v these_o year_n into_o day_n also_o 600_o julian_n year_n give_v day_n 219150_o 20_o year_n give_v day_n 7305_o 1_o year_n give_v day_n 365_o june_n complete_a 181_o day_n 15_o the_o sum_n be_v 227016_o which_o be_v substract_v from_o 602088_o there_o rest_v day_n 375072_o 900_o turkish_a year_n give_v day_n 318930_o there_o rest_v 56142_o 150_o turkish_a year_n give_v day_n 53155_o there_o rest_v 02987_o 8_o turkish_a year_n give_v day_n 2835_o there_o rest_v 152_o giumadi_n 4._o 148_o there_o rest_v 4_o therefore_o the_o five_o of_o june_n 1649._o in_o our_o english_a account_n do_v fall_v in_o the_o year_n 1058._o of_o mahomet_n or_o the_o turkish_a hegira_n the_o four_o day_n of_o the_o month_n giumadi_n 11_o 2._o example_n i_o desire_v to_o know_v upon_o what_o day_n of_o our_o julian_n year_n the_o 17_o day_n of_o the_o month_n in_o the_o 1069_o year_n complete_a of_o the_o persian_a account_n from_o jeshagile_a do_v fall_v the_o beginning_n of_o this_o epocha_n be_v from_o the_o epocha_n of_o christ_n in_o complete_a day_n 230639_o 1000_o persian_a year_n give_v 365000_o 60_o year_n give_v 21900_o 9_o year_n give_v 3285_o chortal_a complete_a 90_o day_n complete_a 16_o the_o sum_n 620930_o 1000_o julian_n year_n substract_v 365250_o there_o rest_v 255680_o 700_o julian_n year_n 255675_o there_o rest_v 5_o therefore_o it_o fall_v out_o in_o the_o julian_n year_n from_o christ_n 1700._o the_o five_o day_n of_o january_n he_o that_o understand_v this_o may_v by_o the_o like_a method_n convert_v the_o year_n of_o other_o epochas_n into_o our_o julian_n year_n and_o the_o contrary_n the_o anticipation_n of_o the_o gregorian_a calendar_n be_v more_o easy_o obtain_v for_o if_o you_o enter_v the_o table_n with_o the_o year_n of_o christ_n complete_a you_o have_v the_o day_n to_o be_v add_v to_o the_o time_n in_o the_o julian_n account_v to_o make_v it_o answer_v to_o the_o gregorian_a which_o will_v be_v but_o ten_o day_n difference_n till_o the_o year_n 1700._o and_o then_o the_o difference_n will_v be_v a_o day_n more_o until_o the_o year_n 1800._o and_o so_o forward_o three_o day_n difference_n more_o in_o every_o 400_o year_n to_o come_v unless_o our_o year_n shall_v be_v reform_v as_o well_o as_o they_o chap._n ii_o of_o the_o cycle_n of_o the_o moon_n what_o it_o be_v how_o place_v in_o the_o calendar_n and_o to_o what_o purpose_n that_o the_o civil_a year_n in_o use_n with_o we_o and_o all_o christian_n do_v consist_v of_o 365_o day_n and_o every_o four_o year_n of_o 366_o have_v be_v already_o show_v with_o the_o return_n of_o the_o sunday_n letter_n in_o 28_o year_n in_o which_o time_n the_o moon_n do_v finish_v her_o course_n in_o the_o zodiac_n no_o less_o than_o twelve_o time_n which_o twelve_o moon_n or_o 354_o day_n do_v fall_v short_a of_o the_o sun_n year_n eleven_o day_n in_o every_o common_a year_n and_o twelve_o in_o the_o bissextile_a or_o leap-year_n and_o by_o observation_n of_o meton_n a_o athenian_a it_o be_v find_v out_o about_o 432_o year_n before_o christ_n that_o the_o moon_n in_o nineteen_o year_n do_v return_v to_o be_v in_o conjunction_n with_o the_o sun_n on_o the_o self_n same_o day_n and_o this_o circle_n of_o nineteen_o year_n be_v call_v the_o cycle_n of_o the_o moon_n which_o be_v write_v in_o the_o calendar_n against_o the_o day_n in_o every_o month_n in_o which_o the_o moon_n do_v change_v in_o letter_n of_o gold_n be_v also_o call_v the_o golden_a number_n or_o from_o the_o excellent_a use_n thereof_o which_o be_v at_o first_o only_o to_o find_v the_o new_a moon_n in_o every_o month_n for_o ever_o but_o among_o christian_n it_o serve_v for_o another_o purpose_n also_o even_o the_o find_n of_o the_o time_n when_o the_o feast_n of_o easter_n be_v to_o be_v observe_v the_o new_a moon_n by_o this_o number_n be_v thus_o find_v in_o the_o first_o year_n of_o the_o circle_n or_o when_o the_o golden_a number_n be_v 1_o where_o the_o number_n 1_o be_v set_v in_o the_o calendar_n in_o any_o month_n that_o day_n be_v new_a moon_n in_o the_o second_o year_n where_o you_o find_v the_o golden_a number_n 2_o in_o the_o three_o year_n where_o you_o find_v the_o golden_a number_n 3_o and_o so_o forward_o till_o the_o whole_a circle_n be_v expire_v then_o you_o must_v begin_v with_o one_o again_o and_o run_v through_o the_o whole_a circle_n as_o before_o 2._o and_o the_o reason_n why_o the_o calendar_n begin_v with_o the_o golden_a number_n 3_o not_o 1_o be_v this_o the_o christian_n in_o alexandria_n have_v use_v this_o circle_n of_o the_o moon_n two_o year_n before_o the_o nicene_n council_n and_o in_o the_o first_o of_o these_o year_n the_o new_a moon_n next_o to_o the_o vernal_a equinox_n be_v upon_o the_o 27_o day_n of_o the_o egyptian_a month_n phamenoth_n answer_v to_o the_o 23d_o of_o our_o march_n against_o that_o day_n therefore_o they_o place_v the_o golden_a number_n 1._o and_o because_o there_o be_v 29_o day_n and_o a_o half_a from_o one_o new_a moon_n to_o another_o they_o make_v the_o distance_n between_o the_o new_a moon_n to_o be_v interchangeable_o 29_o and_o 30_o day_n and_o so_o they_o place_v the_o same_o golden_a number_n against_o the_o 26_o day_n of_o phurmuthi_n the_o month_n follow_v and_o against_o the_o 26_o day_n of_o the_o month_n pachon_n and_o so_o forward_o and_o upon_o this_o ground_n by_o the_o like_a progression_n be_v the_o golden_a number_n set_v in_o the_o roman_a calendar_n and_o so_o the_o golden_a number_n 1_o by_o their_o example_n be_v set_v against_o march_n 23._o april_n 21._o june_n 19_o july_n 19_o august_n 17._o september_n 16._o october_n 15._o november_n 14._o december_n 13._o but_o then_o because_o in_o the_o follow_a year_n the_o golden_a number_n be_v 2._o reckon_v 30_o day_n from_o the_o 13_o of_o december_n the_o golden_a number_n 2_o be_v set_v to_o innuary_n 12._o february_n 10._o march_n 12._o april_n 10._o may_v 10._o june_n 8._o july_n 8._o august_n 6._o september_n 5._o october_n 4._o november_n 3_o december_n 2._o from_o whence_o reckon_n 13_o day_n as_o before_o the_o golden_a number_n 3_o come_v in_o course_n for_o the_o three_o year_n to_o be_v set_v against_o the_o first_o of_o january_n but_o that_o you_o may_v know_v how_o the_o golden_a number_n come_v to_o be_v distribute_v in_o the_o calendar_n according_a to_o the_o form_n in_o which_o it_o now_o be_v you_o must_v consider_v that_o in_o 19_o solar_a year_n there_o be_v not_o only_o 228_o lunar_a month_n or_o 12_o time_n 19_o lunar_a month_n but_o 235_o for_o the_o 11_o day_n which_o the_o common_a solar_a year_n do_v exceed_v the_o lunar_a do_v in_o 19_o year_n arise_v to_o 209_o day_n out_o of_o which_o there_o may_v be_v appoint_v 7_o month_n 6_o whereof_o will_v contain_v 30_o day_n apiece_o and_o one_o month_n 29_o day_n and_o these_o 7_o month_n be_v call_v embolismical_a month_n because_o by_o a_o kind_n of_o injection_n or_o interposition_n they_o be_v reckon_v in_o some_o of_o the_o 19_o year_n and_o those_o year_n in_o which_o they_o be_v reckon_v be_v call_v embolismical_a year_n to_o distinguish_v they_o from_o the_o common_a year_n which_o always_o contain_v 354_o day_n whereas_o 6_o of_o these_o embolismical_a year_n do_v each_o of_o they_o contain_v 384_o day_n and_o the_o seven_o embolismical_a year_n in_o which_o the_o month_n of_o 29_o day_n be_v reckon_v do_v contain_v 383_o day_n 3._o the_o embolismical_a year_n in_o the_o cycle_n of_o the_o moon_n be_v proper_o these_o seven_o 3_o 6_o 9_o 11_o 14_o 17_o 19_o because_o in_o the_o three_o year_n 11_o day_n be_v thrice_o reckon_v do_v amount_v to_o 33_o day_n that_o be_v one_o month_n of_o 30_o day_n and_o 3_o day_n over_o again_o in_o the_o six_o year_n the_o 11_o day_n which_o the_o solar_a exceed_v the_o lunar_a be_v thrice_o number_v do_v amount_v to_o 33_o day_n which_o with_o the_o 3_o day_n former_o reserve_v do_v make_v 36_o day_n that_o be_v one_o month_n of_o 30_o day_n and_o 6_o day_n over_o again_o in_o the_o nine_o year_n there_o be_v also_o 33_o day_n to_o which_o the_o 6_o day_n reserve_v be_v add_v there_o will_v arise_v one_o month_n more_o and_o 9_o day_n over_o but_o in_o the_o eleven_o year_n twice_o 11_o day_n be_v add_v to_o the_o 9_o day_n reserve_v do_v make_v 31_o day_n that_o be_v one_o month_n of_o 30_o day_n and_o one_o day_n over_o which_o be_v add_v to_o the_o supernumerary_a day_n in_o the_o fourteen_o year_n do_v make_v another_o month_n of_o 30_o day_n and_o 4_o day_n over_o and_o these_o be_v add_v to_o the_o supernumerary_a day_n in_o the_o sevententh_fw-mi year_n do_v make_v another_o month_n of_o 30_o and_o 7_o day_n over_o
order_n e_o f_o g_o a_o b_o etc._n etc._n and_o when_o you_o come_v to_o the_o golden_a number_n 8_o set_v the_o letter_n c_o and_o there_o continue_v the_o letter_n till_o you_o come_v to_o c_o again_z because_o when_o the_o golden_a number_n be_v 16_o which_o in_o the_o calendar_n be_v set_v to_o the_o eight_o day_n of_o march_n be_v new_a moon_n and_o the_o fourteen_o day_n of_o that_o moon_n do_v fall_v upon_o the_o twenty_o first_o to_o which_o the_o dominical_a letter_n be_v c_o upon_o which_o the_o feast_n of_o easter_n can_v happen_v and_o therefore_o in_o the_o three_o column_n contain_v the_o day_n in_o which_o the_o feast_n of_o easter_n be_v to_o be_v observe_v be_v also_o void_a but_o in_o the_o next_o place_n immediate_o follow_v to_o wit_n against_o the_o letter_n d_o be_v set_v march_n 22_o because_o if_o the_o fourteen_o day_n of_o the_o moon_n shall_v fall_v upon_o the_o twenty_o first_o of_o march_n be_v saturday_n the_o next_o day_n be_v sunday_n shall_v be_v the_o feast_n of_o easter_n to_o the_o letter_n follow_v e_z f_o g_o a_o b_o etc._n etc._n be_v set_v 23_o 24_o 25_o and_o so_o orderly_o to_o the_o last_o of_o march_n and_o so_o forward_o till_o you_o come_v to_o the_o twenty_o five_o of_o april_n by_o which_o table_n thus_o make_v the_o feast_n of_o easter_n may_v be_v find_v until_o the_o calendar_n shall_v be_v reform_v for_o have_v find_v the_o golden_a number_n in_o the_o first_o column_n the_o dominical_a letter_n for_o the_o year_n next_o after_o it_o do_v show_v the_o feast_n of_o easter_n as_o in_o the_o former_a example_n the_o golden_a number_n be_v 3_o and_o the_o dominical_a letter_n d_o therefore_o easter_n day_n be_v upon_o april_n 19_o the_o other_o movable_a feast_n be_v thus_o find_v advent_v sunday_n be_v always_o the_o near_a sunday_n to_o st._n andrews_n whether_o before_o or_o after_o septuagesima_fw-la sunday_n be_v nine_o week_n before_o easter_n sexagesima_fw-la sunday_n be_v eight_o week_n before_o easter_n qainquagesima_fw-la sunday_n be_v seven_o week_n before_o easter_n quadragesima_fw-la sunday_n be_v six_o week_n before_o easter_n rogation_n sunday_n be_v five_o week_n after_o easter_n ascension_n day_n be_v forty_o day_n after_o easter_n whitsunday_n be_v seven_o week_n after_o easter_n trinity_n sunday_n be_v eight_o week_n after_o easter_n g._n n._n d._n l._n easter_n xvi_o  _fw-fr  _fw-fr v_n d_o 22_o march_v  _fw-fr e_o 23_o xiii_o f_o 24_o two_o g_z 25_o  _fw-fr at_fw-fr 26_o x_o b_o 27_o  _fw-fr c_o 28_o xviii_o d_o 29_o vii_o e_z 30_o  _fw-fr f_o 31_o xv_o g_o 1_n april_n iv_o a_o 2_o  _fw-fr b_o 3_o xii_o c_o 4_o i_o d_o 5_o  _fw-fr e_z 6_o ix_o f_o 7_o  _fw-fr g_o 8_o xvii_o a_o 9_o vi_o b_o 10_o  _fw-fr c_z 11_o fourteen_o d_o 12_o iii_o e_o 13_o  _fw-fr f_o 14_o xi_o g_o 15_o  _fw-fr at_fw-fr 16_o xix_o b_o 17_o viii_o c_o 18_o  _fw-fr d_o 19_o  _fw-fr e_o 20_o  _fw-fr f_o 21_o  _fw-fr g_o 22_o  _fw-fr at_fw-fr 23_o  _fw-fr b_o 24_o  _fw-fr c_o 25_o chap._n iu_o of_o the_o reformation_n of_o the_o calendar_n by_o pope_n gregory_n the_o thirteen_o and_o substitute_v a_o cycle_n of_o epact_n in_o the_o room_n of_o the_o golden_a number_n hitherto_o we_o have_v speak_v of_o the_o calendar_n which_o be_v in_o use_n with_o we_o we_o will_v now_o show_v you_o for_o what_o reason_n it_o be_v alter_v in_o the_o church_n of_o rome_n and_o how_o the_o feast_n of_o easter_n be_v by_o they_o observe_v the_o year_n by_o the_o appointment_n of_o julius_n caesar_n consist_v of_o 365_o day_n 6_o hour_n whereas_o the_o sun_n do_v finish_v his_o course_n in_o the_o zodiac_n in_o 365_o day_n 5_o hour_n 49_o minute_n or_o thereabouts_o it_o come_v to_o pass_v that_o in_o 134_o year_n or_o less_o there_o be_v a_o whole_a day_n in_o the_o calendar_n more_o than_o there_o aught_o in_o 268_o year_n 2_o day_n more_o in_o 4002_o year_n 3_o day_n and_o so_o since_o julius_n caesar_n time_n the_o vernal_a equinox_n have_v go_v backward_o 13_o or_o 14_o day_n namely_o from_o the_o 24_o of_o march_n to_o the_o ten_o now_o because_o the_o equinox_n be_v at_o the_o time_n of_o the_o nicene_n council_n upon_o the_o twenty_o first_o of_o march_n when_o the_o time_n for_o the_o observe_n of_o easter_n be_v first_o universal_o establish_v they_o think_v it_o sufficient_a to_o bring_v the_o equinox_n back_o to_o that_o time_n by_o cut_v off_o 10_o day_n in_o the_o calendar_n as_o have_v be_v declare_v and_o to_o prevent_v any_o anticipation_n for_o the_o time_n to_o come_v have_v appoint_v that_o the_o leap-year_n shall_v be_v thrice_o omit_v in_o every_o 400_o year_n to_o come_v and_o for_o memory_n sake_n appoint_v the_o first_o omission_n to_o be_v account_v from_o the_o year_n 1600_o not_o from_o 1582_o in_o which_o the_o reformation_n be_v make_v because_o it_o be_v not_o only_o near_o the_o time_n in_o which_o the_o emendation_n be_v begin_v but_o also_o because_o the_o equinox_n have_v not_o full_o make_v a_o anticipation_n of_o 10_o day_n from_o the_o place_n thereof_o at_o the_o time_n of_o the_o nicene_n council_n which_o be_v march_v 21._o the_o year_n then_o 1700_o 1800_o 1900_o which_o shall_v have_v be_v bissextile_a year_n be_v to_o he_o account_v common_a year_n but_o the_o year_n 2000_o must_v be_v a_o bissextile_a in_o like_a manner_n the_o year_n 2100_o 2200_o 2300_o shall_v be_v common_a year_n and_o the_o year_n 2400_o bissextile_a and_o so_o forward_o 2._o again_o because_o it_o be_v suppose_v that_o the_o cycle_n of_o the_o moon_n or_o golden_a number_n be_v so_o fix_v that_o the_o new_a and_o full_a moon_n will_v in_o every_o 19_o year_n return_n to_o the_o same_o day_n again_o whereas_o their_o not_o return_v the_o same_o hour_n but_o make_v a_o anticipation_n of_o one_o hour_n 27_o minute_n or_o thereabouts_o it_o must_v needs_o be_v that_o in_o 17_o cycle_n or_o little_o more_o than_o 300_o year_n there_o will_v be_v a_o anticipation_n of_o a_o whole_a day_n and_o hence_o it_o be_v evident_a that_o in_o 1300_o year_n since_o the_o nicene_n council_n the_o new_a and_o full_a moon_n do_v happen_v more_o than_o 4_o day_n soon_o than_o the_o cycle_n of_o the_o moon_n or_o golden_a number_n do_v demonstrate_v whence_o also_o it_o come_v to_o pass_v that_o the_o fourteen_o day_n of_o the_o moon_n by_o the_o cycle_n be_v in_o truth_n the_o eighteen_o day_n and_o so_o the_o feast_n of_o easter_n shall_v be_v observe_v not_o from_o the_o fifteen_o day_n of_o the_o moon_n to_o the_o twenty_o first_o but_o from_o the_o nineteen_o to_o the_o twenty_o five_o 3._o that_o the_o moon_n therefore_o be_v once_o bring_v into_o order_n may_v not_o make_v any_o anticipation_n for_o the_o time_n to_o come_v it_o be_v appoint_v that_o a_o cycle_n of_o 30_o epact_n shall_v be_v place_v in_o the_o calendar_n instead_o of_o the_o golden_a number_n answer_v to_o every_o day_n in_o the_o year_n to_o show_v the_o new_a moon_n in_o these_o day_n not_o only_o for_o 300_o year_n or_o thereabouts_o but_o that_o there_o may_v be_v new_a epact_n without_o alter_v the_o calendar_n to_o perform_v the_o same_o thing_n upon_o other_o day_n as_o need_n shall_v require_v 4._o for_o the_o better_a understanding_n whereof_o to_o the_o calendar_n in_o use_n with_o we_o we_o have_v annex_v the_o gregorian_a calendar_n also_o in_o the_o first_o column_n whereof_o you_o have_v 30_o number_n from_o 1_o to_o 30_o save_v only_o that_o in_o the_o place_n of_o 30_o you_o have_v this_o asterisk_n *_o but_o they_o begin_v with_o the_o calends_o of_o january_n and_o we_o continue_v and_o repeat_v after_o a_o retrograde_a order_n in_o this_o manner_n *_o 29_o 28_o 27_o etc._n etc._n and_o that_o for_o this_o cause_n especial_o that_o the_o number_n be_v give_v which_o show_v the_o new_a moon_n in_o every_o month_n for_o one_o year_n you_o may_v by_o number_v 11_o upward_o exclusive_o find_v the_o number_n which_o will_v show_v the_o new_a moon_n the_o year_n follow_v to_o wit_n the_o number_n which_o fall_v in_o the_o eleven_o place_n 5._o and_o these_o number_n be_v call_v epact_n because_o they_o do_v in_o order_n show_v those_o 11_o day_n which_o be_v yearly_a to_o be_v add_v to_o the_o lunar_a year_n consist_v of_o 354_o day_n that_o it_o may_v be_v in_o conformity_n with_o the_o solar_a year_n consist_v of_o 365_o day_n to_o this_o purpose_n as_o have_v be_v say_v concern_v the_o golden_a number_n these_o epact_n be_v repeat_v 12_o time_n and_o end_v upon_o the_o twenty_o day_n of_o december_n the_o same_o number_n must_v be_v add_v to_o the_o 11_o remain_a day_n which_o be_v add_v to_o the_o first_o 11_o day_n in_o the_o month_n of_o january_n 6._o and_o
worse_a of_o the_o two_o yet_o not_o so_o bad_a but_o that_o our_o dissent_v brethren_n have_v i_o hope_v some_o better_a argument_n to_o justify_v their_o nonconformity_n than_o what_o i_o see_v publish_v in_o a_o little_a book_n without_o any_o name_n to_o it_o concern_v two_o easters_n in_o one_o year_n by_o the_o general_n table_n say_v this_o learned_a man_n who_o ow_v the_o feast_n of_o easter_n be_v to_o be_v observe_v anno_fw-la 1674._o upon_o the_o 19_o day_n of_o april_n so_o the_o almanac_n for_o that_o year_n as_o well_o as_o the_o general_n table_n set_v before_o the_o book_n of_o common_a prayer_n but_o by_o the_o rule_n in_o the_o say_a book_n of_o common_a prayer_n give_v the_o feast_n of_o easter_n shall_v have_v be_v upon_o the_o twelve_o of_o april_n for_o easter-day_n must_v always_o be_v the_o first_o sunday_n after_o the_o first_o full_a moon_n which_o happen_v next_o after_o the_o one_o and_o twenty_o day_n of_o march_n and_o if_o the_o full_a moon_n happen_v upon_o a_o sunday_n easter-day_n be_v the_o sunday_n after_o now_o in_o the_o year_n 1674._o the_o 19_o of_o april_n be_v friday_n be_v full_a moon_n therefore_o by_o this_o rule_n easter-day_n shall_v be_v the_o twelve_o and_o by_o the_o table_n and_o the_o common_a almanac_n april_v the_o ten_o but_o this_o learned_a man_n must_v know_v that_o the_o mistake_n be_v in_o himself_o and_o not_o in_o the_o rule_n or_o table_n set_v down_o in_o the_o book_n of_o common_a prayer_n for_o if_o he_o please_v to_o look_v into_o the_o calendar_n he_o will_v find_v that_o the_o golden_a number_n three_o which_o be_v the_o golden_a number_n for_o that_o year_n be_v place_v against_o the_o last_o day_n of_o march_n and_o therefore_o according_a to_o the_o suppose_a motion_n of_o the_o moon_n that_o day_n be_v new_a moon_n and_o then_o the_o full_a moon_n will_v fall_v upon_o the_o fourteen_o day_n of_o april_n and_o not_o upon_o the_o ten_o and_o so_o by_o consequence_n the_o sunday_n follow_v the_o first_o full_a moon_n after_o the_o 21_o day_n of_o march_n be_v the_o nineteen_o of_o april_n and_o not_o the_o twelve_o and_o thus_o the_o rule_n and_o the_o table_n in_o the_o book_n of_o common_a prayer_n for_o find_v the_o feast_n of_o easter_n be_v reconcile_v and_o when_o authority_n shall_v think_v sit_v the_o calendar_n may_v be_v correct_v and_o all_o the_o movable_a feast_n be_v observe_v upon_o the_o day_n and_o time_n at_o first_o appoint_v but_o till_o that_o be_v a_o great_a difference_n than_o one_o week_n will_v be_v find_v in_o the_o feast_n of_o easter_n between_o the_o observation_n thereof_o according_a to_o the_o moon_n true_a motion_n and_o that_o upon_o which_o the_o table_n be_v ground_v for_o by_o the_o father_n of_o the_o nicene_n council_n it_o be_v appoint_v that_o the_o feast_n of_o easter_n shall_v be_v observe_v upon_o the_o sunday_n follow_v the_o first_o full_a moon_n after_o the_o vernal_a equinox_n which_o then_o indeed_o be_v the_o 21_o of_o march_n but_o now_o the_o ten_o and_o in_o the_o year_n 1674._o wednesday_n the_o 11_o of_o march_n be_v full_a moon_n and_o therefore_o by_o this_o rule_n easter-day_n shall_v have_v be_v upon_o march_n the_o fifteen_o whereas_o according_a to_o the_o rule_n we_o go_v by_o it_o be_v not_o till_o april_n the_o nineteen_o the_o table_n of_o the_o sun_n and_o moon_n middle_a motion_n be_v neither_o make_v according_a to_o the_o usual_a sexagenary_a form_n nor_o according_a to_o the_o usual_a degree_n of_o a_o circle_n and_o decimal_n part_n but_o according_a to_o a_o circle_n divide_v into_o 100_o degree_n and_o part_n and_o this_o i_o think_v good_a to_o do_v to_o give_v the_o world_n a_o taste_n of_o the_o excellency_n of_o decimal_a number_n which_o if_o a_o canon_n of_o sines_n and_o tangent_n be_v fit_v to_o it_o will_v be_v find_v much_o better_o as_o to_o the_o compute_v the_o place_n of_o the_o planet_n but_o as_o to_o the_o primum_fw-la mobile_n by_o reason_n of_o the_o general_a divide_v a_o circle_n into_o 360_o degree_n i_o shall_v think_v such_o a_o canon_n with_o the_o decimal_n part_v most_o convenient_a and_o in_o some_o case_n the_o common_a sexagenary_a canon_n may_v be_v very_o useful_a and_o indeed_o shall_v wish_v and_o shall_v endeavour_v to_o have_v all_o print_v together_o one_o table_n of_o logarithm_n will_v serve_v they_o all_o and_o two_o such_o canon_n one_o for_o the_o study_n and_o another_o for_o the_o pocket_n will_v be_v sufficient_a for_o all_o mathematical_a book_n in_o that_o kind_n and_o then_o man_n may_v use_v they_o all_o or_o either_o of_o they_o as_o they_o shall_v have_v occasion_n or_o as_o every_o one_o be_v persuade_v in_o his_o own_o mind_n what_o i_o have_v do_v in_o this_o particular_a as_o it_o be_v for_o my_o own_o satisfaction_n so_o i_o be_o apt_a to_o believe_v that_o it_o will_v be_v please_v to_o many_o other_o and_o although_o i_o shall_v leave_v every_o one_o to_o abound_v in_o his_o own_o sense_n yet_o i_o can_v think_v that_o custom_n shall_v be_v such_o a_o tyrant_n as_o to_o force_v we_o always_o to_o use_v the_o sexagenary_a form_n if_o so_o i_o wonder_v that_o man_n do_v not_o always_o use_v the_o natural_a canon_n if_o no_o alteration_n may_v be_v admit_v what_o reason_n can_v be_v give_v for_o the_o use_n of_o logarithm_n and_o if_o that_o be_v find_v more_o ready_a than_o the_o natural_a in_o thing_n of_o this_o kind_n where_o none_o but_o particular_a student_n be_v concern_v i_o shall_v think_v it_o reasonable_a to_o reduce_v all_o thing_n hereafter_o into_o that_o form_n which_o shall_v be_v find_v most_o ready_a and_o exact_a now_o the_o part_n proportional_a in_o the_o artificial_a sin_n and_o tangent_n in_o the_o three_o first_o degree_n can_v be_v well_o take_v by_o the_o common_a difference_n and_o the_o way_n of_o find_v they_o otherwise_o will_v not_o be_v so_o easy_a in_o the_o sexagenary_a canon_n as_o in_o either_o of_o the_o other_o and_o this_o i_o think_v shall_v render_v that_o canon_n which_o divide_v each_o degree_n into_o 100_o part_n more_o acceptable_a but_o thus_o to_o retain_v the_o use_n of_o sines_n degree_n and_o decimal_a part_n do_v not_o to_o i_o seem_v convenient_a and_o to_o reckon_v up_o a_o planet_n middle_a motion_n by_o whole_a circle_n will_v sometime_o cause_v a_o division_n of_o degree_n by_o 60_o which_o have_v some_o trouble_n in_o it_o also_o but_o if_o a_o circle_n be_v divide_v into_o 100_o degree_n this_o inconvenience_n be_v avoid_v and_o be_v there_o no_o other_o reason_n to_o be_v give_v this_o i_o think_v shall_v make_v such_o a_o canon_n to_o be_v desirable_a but_o till_o i_o can_v find_v a_o opportunity_n of_o publish_v such_o a_o one_o i_o shall_v forbear_v to_o show_v any_o further_a use_n of_o it_o and_o for_o what_o be_v want_v here_o in_o this_o subject_n i_o therefore_o refer_v thou_o to_o mr._n street_n astronomia_fw-la carolina_n and_o the_o several_a book_n write_v in_o english_a by_o mr._n wing_n the_o four_o part_n of_o this_o treatise_n be_v a_o introduction_n unto_o geography_n in_o which_o i_o have_v give_v general_a direction_n for_o the_o understanding_n how_o the_o habitable_a part_n of_o the_o world_n be_v divide_v in_o respect_n of_o longitude_n and_o latitude_n in_o respect_n of_o clime_n and_o parallel_n with_o such_o other_o particular_n as_o will_n be_v find_v useful_a unto_o such_o as_o shall_v be_v willing_a to_o understand_v history_n in_o which_o three_o thing_n be_v require_v the_o time_n when_o and_o this_o depend_v upon_o astronomy_n the_o place_n where_o and_o this_o depend_v upon_o geography_n and_o the_o person_n by_o who_o any_o memorable_a act_n be_v do_v and_o this_o must_v be_v have_v from_o the_o historical_a narration_n thereof_o and_o he_o that_o read_v history_n without_o some_o knowledge_n in_o astronomy_n and_o geography_n will_v find_v himself_o at_o a_o loss_n and_o be_v able_a to_o give_v but_o a_o lame_a account_n of_o what_o he_o read_v but_o after_o the_o learning_n of_o these_o art_n of_o grammar_n i_o mean_v so_o much_o thereof_o as_o tend_v to_o the_o understanding_n of_o every_o one_o native_a language_n arithmetic_n geometry_n and_o astronomy_n a_o child_n may_v proceed_v profitable_o to_o rhetoric_n and_o logic_n the_o read_n of_o history_n and_o the_o learning_n of_o the_o tongue_n and_o sure_o there_o be_v no_o studious_a and_o ingenious_a man_n but_o will_v stand_v in_o need_n of_o some_o recreation_n and_o therefore_o if_o music_n in_o the_o worship_n and_o service_n of_o god_n be_v not_o argument_n enough_o to_o allow_v that_o a_o place_n among_o the_o art_n let_v that_o poor_a end_n of_o delight_n and_o pleasure_n be_v her_o advocate_n and_o although_o that_o all_o man_n have_v not_o voice_n yet_o i_o can_v
from_o one_o another_o a_o full_a part_n of_o time_n or_o a_o hour_n for_o see_v that_o the_o sun_n be_v carry_v 15_o degree_n of_o the_o equinoctial_a every_o hour_n the_o meridian_n set_v at_o that_o distance_n must_v make_v a_o hour_n difference_n in_o the_o rise_n or_o set_v of_o the_o sun_n in_o those_o place_n which_o differ_v 15_o degree_n in_o longitude_n and_o to_o this_o purpose_n also_o upon_o the_o north_n end_n of_o the_o globe_n without_o the_o brass_n meridian_n there_o be_v a_o small_a circle_n of_o brass_n set_v and_o divide_v into_o two_o equal_a part_n and_o each_o of_o they_o into_o twelve_o that_o be_v twenty_o four_o all_o to_o show_v the_o hour_n of_o the_o day_n and_o night_n in_o any_o place_n where_o the_o day_n and_o night_n exceed_v not_o 24_o hour_n for_o which_o purpose_n it_o have_v a_o little_a brass_n pin_n turn_v about_o upon_o the_o pole_n and_o point_v to_o the_o several_a hour_n which_o be_v therefore_o the_o index_n horarius_fw-la or_o hour_n index_n 33._o have_v describe_v the_o great_a circle_n frame_v without_o and_o draw_v upon_o the_o globe_n we_o will_v now_o describe_v the_o lesser_a circle_n also_o and_o these_o lesser_a circle_n be_v call_v parallel_n that_o be_v such_o as_o be_v in_o all_o place_n equal_o distant_a from_o the_o equator_fw-la and_o these_o circle_n how_o little_a soever_o be_v suppose_v to_o be_v divide_v into_o 360_o degree_n but_o these_o degree_n be_v not_o so_o large_a as_o in_o the_o great_a circle_n but_o do_v proportionable_o decrease_v according_a to_o the_o radius_fw-la by_o which_o they_o be_v draw_v 34._o these_o lesser_a circle_n be_v either_o the_o tropic_n or_o the_o polar_a circle_n 35._o the_o tropic_n be_v two_o small_a circle_n draw_v upon_o the_o globe_n one_o beyond_o the_o equator_fw-la towards_o the_o north_n pole_n and_o the_o other_o towards_o the_o south_n show_v the_o way_n which_o the_o sun_n make_v in_o his_o diurnal_a motion_n when_o he_o be_v at_o his_o great_a distance_n from_o the_o equator_fw-la either_o north_n or_o south_n these_o circle_n be_v call_v tropic_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d that_o be_v from_o the_o sun_n return_v for_o the_o sun_n come_v to_o these_o circle_n he_o be_v at_o his_o great_a distance_n from_o the_o equator_fw-la and_o in_o the_o same_o moment_n of_o time_n slope_v as_o it_o be_v his_o course_n he_o return_v near_a and_o near_o to_o the_o equator_fw-la again_o 36._o these_o tropical_a circle_n do_v show_v the_o point_n of_o heaven_n in_o which_o the_o sun_n do_v make_v either_o the_o long_a day_n or_o the_o short_a day_n in_o the_o year_n according_a as_o he_o be_v in_o the_o northern_a or_o the_o southern_a tropic_n and_o be_v draw_v at_o 23_o degree_n and_o a_o half_a distant_a from_o the_o equator_fw-la 37._o the_o polar_a circle_n be_v two_o lesser_a circle_n draw_v upon_o the_o globe_n at_o the_o radius_fw-la of_o 23_o degree_n and_o a_o half_a distant_a from_o the_o pole_n of_o the_o world_n show_v thereby_o the_o pole_n of_o the_o zodiac_n which_o be_v so_o many_o degree_n distant_a from_o the_o equator_fw-la on_o both_o side_n thereof_o 38._o these_o polar_a circle_n be_v 66_o degree_n and_o a_o half_a distant_a from_o the_o equator_fw-la and_o 43_o degree_n distant_a from_o his_o near_a tropic_n they_o be_v call_v the_o arctic_a and_o antarctick_a circle_n 39_o the_o arctic_a circle_n be_v that_o which_o be_v describe_v about_o the_o arctic_a pole_n and_o pass_v almost_o through_o the_o middle_n of_o the_o head_n of_o the_o great_a bear_n it_o be_v call_v the_o arctic_a circle_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d from_o the_o two_o conspicuous_a star_n towards_o the_o north_n call_v the_o great_a and_o the_o lesser_a bear_n 40._o the_o antarctick_a circle_n be_v that_o which_o be_v describe_v about_o the_o antarctick_a or_o south_n pole_n it_o be_v so_o call_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d that_o be_v from_o be_v opposite_a to_o the_o great_a and_o lesser_a bear_n have_v thus_o describe_v the_o globe_n or_o astronomical_a instrument_n by_o which_o the_o frame_n of_o the_o world_n be_v represent_v to_o our_o view_n i_o will_v proceed_v to_o show_v the_o use_n for_o which_o it_o be_v intend_v chap._n ii_o of_o the_o distinction_n and_o affection_n of_o spherical_a line_n or_o arch_n the_o use_n of_o the_o globe_n as_o to_o practise_v be_v either_o such_o as_o concern_v the_o heaven_n or_o the_o earth_n in_o either_o of_o which_o if_o we_o shall_v descend_v unto_o particular_n the_o use_n will_v be_v more_o in_o number_n than_o a_o short_a treatise_n will_v contain_v see_v therefore_o that_o all_o problem_n which_o concern_v the_o globe_n may_v be_v best_a and_o most_o accurate_o resolve_v by_o the_o doctrine_n of_o spherical_a triangle_n we_o will_v contract_v these_o use_n of_o the_o globe_n which_o otherwise_o may_v prove_v infinite_a to_o such_o problem_n as_o come_v within_o the_o compass_n of_o the_o 28_o case_n of_o right_n and_o oblique_a angle_a spherical_a triangle_n 2._o and_o that_o the_o nature_n of_o spherical_a triangle_n may_v be_v the_o better_o understand_v and_o by_o which_o of_o the_o 28_o case_n the_o particular_a problem_n may_v be_v best_a resolve_v i_o will_v set_v down_o some_o general_n definition_n and_o affection_n which_o do_v belong_v to_o such_o line_n or_o arch_n of_o which_o the_o triangle_n must_v be_v frame_v with_o the_o part_n and_o affection_n of_o those_o triangle_n and_o how_o the_o thing_n give_v and_o require_v in_o they_o may_v be_v represent_v and_o resolve_v upon_o and_o by_o the_o globe_n as_o also_o how_o they_o may_v be_v represent_v and_o resolve_v by_o the_o projection_n of_o the_o sphere_n and_o by_o the_o canon_n of_o triangle_n 3._o a_o spherical_a triangle_n than_o be_v a_o figure_n consist_v of_o three_o arch_n of_o the_o great_a circle_n upon_o the_o superficies_n of_o a_o sphere_n or_o globe_n every_o one_o being_n less_o than_o a_o semicircle_n 4._o a_o great_a circle_n be_v that_o which_o divide_v the_o sphere_n or_o globe_n into_o two_o equal_a part_n and_o thus_o the_o horizon_n equator_fw-la zodiac_n and_o meridian_n before_n describe_v be_v all_o of_o they_o great_a circle_n and_o of_o these_o circle_n or_o any_o other_o there_o must_v be_v three_o arch_n to_o make_v a_o triangle_n and_o every_o one_o of_o these_o arch_n several_o must_v be_v less_o than_o a_o semicircle_n to_o make_v this_o plain_a in_o fig._n 1._o the_o straight_a line_n har_n do_v represent_v the_o horizon_n pr._n the_o height_n of_o the_o pole_n above_o the_o horizon_n pm_v a_o meridian_n and_o these_o three_o arch_n by_o their_o intersect_v one_o another_o do_v visible_o constitute_v four_o spherical_a triangle_n 1._o pmr_n 2._o pmh_o 3._o shm._n 4._o smr_n and_o every_o arch_n be_v less_o than_o a_o semicircle_n as_o in_o the_o triangle_n pmr_n the_o arch_n pr._n be_v less_o than_o the_o semicircle_n pr_n the_o arch_a mr_n be_v less_o than_o the_o semicircle_n amr_n and_o the_o arch_n pm_n be_v less_o than_o the_o semicircle_n pm_v the_o like_a may_v be_v show_v in_o the_o other_o triangle_n 5._o spherical_a or_o circular_a line_n be_v parallel_n or_o angular_a 6._o parallel_v arch_n or_o circle_n be_v such_o as_o be_v draw_v upon_o the_o same_o centre_n within_o without_z or_o equal_a to_o another_o arch_n or_o circle_n thus_o in_o fig._n 1._o the_o arch_n ♋_o m_o ♋_o and_o ♑_o o_o ♑_o are_z though_o lesser_a circle_n parallel_n to_o the_o equinoctial_a ae_n a_o q_o and_o do_v in_o that_o scheme_n represent_v the_o tropic_n of_o cancer_n and_o capricorn_n the_o manner_n of_o describe_v they_o or_o any_o other_o parallel_n circle_n be_v thus_o set_v off_o their_o distance_n from_o the_o great_a circle_n to_o which_o you_o be_v to_o draw_v a_o parallel_n with_o your_o compass_n by_o help_n of_o your_o line_n of_o chord_n which_o in_o this_o example_n be_v 23_o degree_n and_o a_o half_a from_o ae_n to_o ♋_o then_o draw_v the_o line_n a_o ♋_o and_o upon_o the_o point_n ♋_o erect_v a_o perpendicular_a where_o that_o perpendicular_a shall_v cut_v the_o axis_n pas_n extend_v be_v the_o centre_n of_o that_o parallel_n 7._o a_o spherical_a angle_n be_v that_o which_o be_v contain_v by_o two_o arch_n of_o the_o great_a circle_n upon_o the_o superficies_n of_o the_o globe_n intersect_v one_o another_o angle_n make_v by_o the_o intersection_n of_o two_o little_a circle_n or_o of_o a_o little_a circle_n with_o a_o great_a we_o take_v no_o notice_n of_o in_o the_o doctrine_n of_o spherical_a triangle_n 8._o a_o spherical_a angle_n be_v either_o right_a or_o oblique_a 9_o a_o spherical_a right_a angle_n be_v that_o which_o be_v contain_v by_o two_o arch_n of_o the_o great_a circle_n in_o the_o superficies_n of_o the_o sphere_n cut_v one_o another_o at_o right_a angle_n that_o be_v
and_o these_o 7_o day_n be_v add_v to_o the_o 22_o supernumerary_a day_n in_o the_o ninteenth_n year_n of_o the_o moon_n cycle_n do_v make_v another_o month_n of_o 29_o day_n 4._o but_o because_o there_o be_v 6939_o day_n and_o 18_o hour_n in_o 19_o solar_a year_n that_o be_v 4_o day_n 18_o hour_n more_o than_o in_o the_o common_a and_o embolismical_a lunar_a year_n in_o which_o the_o excess_n between_o the_o lunar_a and_o the_o solar_a year_n be_v suppose_v to_o be_v no_o more_o than_o 11_o day_n in_o each_o year_n whereas_o in_o every_o four_o year_n the_o excess_n be_v one_o day_n more_o that_o be_v 12_o day_n that_o be_v in_o 16_o year_n 4_o day_n and_o in_o the_o remain_v 3_o year_n three_o fourth_n of_o a_o day_n more_o and_o that_o the_o new_a moon_n after_o 19_o lunar_a year_n or_o 235_o lunation_n do_v not_o return_v to_o the_o same_o day_n again_o but_o want_v almost_o 5_o day_n it_o be_v evident_a that_o the_o civil_a lunation_n do_v not_o agree_v with_o the_o astronomical_a and_o that_o there_o must_v be_v yet_o some_o kind_n of_o intercalation_n use_v 5._o now_o therefore_o in_o distribute_v the_o golden_a number_n throughout_o the_o calendar_n if_o the_o new_a moon_n shall_v interchangeable_o consist_v of_o 30_o and_o 29_o day_n and_o so_o but_o 228_o lunation_n in_o 19_o year_n we_o may_v proceed_v in_o the_o same_o order_n in_o which_o we_o have_v begin_v and_o by_o which_o as_o have_v be_v show_v the_o three_o year_n of_o the_o golden_a number_n fall_v upon_o the_o calends_o of_o january_n but_o for_o as_o much_o as_o there_o be_v first_o six_o lunation_n of_o 30_o day_n apiece_o and_o one_o of_o 29_o day_n to_o be_v interpose_v therefore_o there_o must_v be_v 6_o time_n 2_o lunation_n together_o consist_v of_o 30_o day_n and_o once_o three_o lunation_n of_o 29_o day_n and_o that_o respect_n may_v be_v also_o have_v to_o the_o bissextile_a day_n although_o they_o be_v not_o express_v in_o the_o calendar_n that_o lunation_n which_o do_v contain_v the_o bissertile_a day_n if_o it_o shall_v have_v be_v 29_o day_n it_o must_v be_v 30_o if_o it_o shall_v have_v consist_v of_o 30_o day_n it_o must_v consist_v of_o 31._o 6._o and_o because_o it_o be_v think_v convenient_a as_o have_v be_v show_v to_o begin_v with_o the_o three_o year_n of_o the_o cycle_n of_o the_o moon_n because_o the_o golden_a number_n 3_o be_v set_v to_o the_o calends_o of_o january_n therefore_o in_o this_o cycle_n the_o embolismical_a year_n be_v 2_o 5_o 8_o 11_o 13_o 16_o 19_o but_o yet_o that_o it_o may_v appear_v that_o these_o year_n be_v in_o effect_n the_o same_o as_o if_o we_o have_v begin_v with_o the_o first_o year_n of_o the_o golden_a number_n save_v only_o that_o the_o eight_o year_n instead_o of_o the_o nine_o be_v to_o be_v account_v embolismical_a i_o have_v add_v the_o table_n follw_v in_o which_o it_o be_v apparent_a that_o the_o former_a embolismical_a year_n do_v agree_v with_o these_o last_o mention_v 7._o but_o as_o i_o say_v before_o it_o be_v think_v more_o convenient_a to_o begin_v the_o account_n from_o the_o number_n 3_o set_v to_o the_o calends_o of_o january_n because_o by_o so_o reckon_v 30_o and_o 29_o day_n to_o each_o lunation_n interchangeable_o the_o same_o number_n 3_o fall_n upon_o january_n 31._o march_z 1_o and_o 31._o april_n 29._o may_v 29._o june_n 27._o july_n 27._o august_n 25._o september_n 14._o october_n 23._o november_n 22._o december_n 21._o as_o if_o the_o lunar_a year_n be_v complete_v upon_o the_o 20_o of_o december_n there_o remain_v just_a 11_o day_n which_o the_o solar_a year_n do_v exceed_v the_o lunar_a 8._o and_o by_o rank_v on_o and_o account_v 4_o for_o the_o golden_a number_n of_o the_o next_o year_n you_o will_v find_v it_o set_v on_o january_n 20_o february_n 18_o march_v 20_o april_n 18_o may_v 18_o june_n 16_o july_n 16_o august_n 14_o september_n 13_o octob._n 12_o novemb_v 11_o decemb._n 10._o cycle_n of_o the_o moon_n cycle_n of_o the_o moon_n embolismical_a year_n number_n of_o day_n 1_o 3_o  _fw-fr 354_o 2_o 4_o  _fw-fr 354_o 3_o 5_o embol_n 384_o 4_o 6_o  _fw-fr 354_o 5_o 7_o  _fw-fr 354_o 6_o 8_o embol_n 384_o 7_o 9_o  _fw-fr 354_o 8_o 10_o  _fw-fr 354_o 9_o 11_o embol_n 384_o 10_o 12_o  _fw-fr 354_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 11_o 13_o embol_n 384_o 12_o 14_o  _fw-fr 354_o 13_o 15_o  _fw-fr 354_o 14_o 16_o embol_n 384_o 15_o 17_o  _fw-fr 354_o 16_o 18_o  _fw-fr 354_o 17_o 19_o embol_n 384_o 18_o 1_o  _fw-fr 354_o 19_o 2_o embol_n 384_o 9_o but_o in_o go_v on_o and_o take_v 5_o for_o the_o golden_a number_n in_o the_o three_o year_n we_o must_v remember_v that_o that_o be_v a_o embolismical_a year_n and_o therefore_o that_o somewhere_o there_o must_v be_v 2_o month_n together_o of_o 30_o day_n and_o for_o this_o reason_n the_o golden_a number_n 5_o be_v set_v to_o january_n 9_o february_n 7_o march_z 9_o april_n 7_o may_v 7_o june_n 5_o july_n 5_o august_n 3_o september_n 2_o as_o also_o upon_o the_o second_o day_n of_o october_n and_o not_o upon_o the_o first_o that_o so_o there_o may_v be_v 2_o lunation_n together_o of_o 30_o and_o the_o same_o number_n 5_o be_v also_o set_v to_o the_o thirty_o first_o of_o october_n to_o make_v the_o lunation_n to_o consist_v of_o 29_o day_n and_o to_o the_o thirty_o of_o november_n instead_o of_o the_o twenty_o nine_o that_o so_o a_o lunation_n of_o 30_o may_v again_o succeed_v as_o it_o ought_v 10._o in_o like_a manner_n in_o the_o six_o year_n have_v go_v through_o the_o four_o and_o five_o as_o common_a year_n you_o may_v see_v the_o golden_a number_n 8_o set_v to_o the_o five_o of_o april_n which_o shall_v have_v be_v upon_o the_o four_o and_o in_o the_o nine_o year_n the_o golden_a number_n 11_o be_v set_v to_o the_o second_o of_o february_n which_o shall_v have_v be_v upon_o the_o first_o and_o there_o be_v a_o particular_a reason_n for_o which_o these_o number_n be_v otherwise_o place_v from_o the_o eight_o of_o march_n to_o the_o five_o of_o april_n namely_o that_o all_o the_o paschal_n lunation_n may_v consist_v of_o 29_o day_n for_o thus_o from_o the_o eight_o of_o march_n to_o the_o six_o of_o april_n to_o both_o which_o day_n the_o golden_a number_n be_v 16_o there_o be_v but_o 29_o day_n and_o from_o the_o nine_o of_o march_n to_o the_o seven_o of_o april_n to_o both_o which_o day_n the_o golden_a number_n be_v 5_o there_o be_v also_o 29_o day_n and_o so_o of_o the_o rest_n till_o you_o come_v to_o the_o five_o of_o april_n which_o be_v the_o last_o paschal_n lunation_n as_o the_o eight_o of_o march_n be_v the_o first_o but_o at_o any_o other_o time_n of_o the_o year_n the_o length_n of_o the_o month_n in_o the_o embolismical_a year_n may_v be_v fix_v as_o you_o please_v 12._o and_o in_o this_o manner_n in_o the_o 17_o year_n in_o which_o the_o lunation_n of_o the_o whole_a circle_n be_v finish_v and_o in_o which_o the_o golden_a number_n be_v 19_o the_o month_n of_o july_n be_v take_v at_o pleasure_n to_o the_o thirty_o day_n whereof_o be_v set_v the_o golden_a number_n 19_o which_o shall_v have_v be_v upon_o the_o thirty_o first_o and_o the_o same_o number_n be_v notwithstanding_o place_v upon_o the_o twenty_o eight_o of_o august_n that_o by_o the_o two_o lunation_n of_o 29_o day_n together_o it_o may_v be_v understand_v that_o the_o seven_o embolismical_a month_n consist_v of_o 29_o day_n be_v there_o insert_v instead_o of_o a_o month_n of_o 30_o day_n in_o which_o place_n the_o embolismical_a or_o leap_a year_n of_o the_o moon_n may_v plain_o be_v observe_v for_o that_o year_n be_v one_o day_n less_o than_o the_o rest_n which_o the_o moon_n do_v as_o it_o be_v pass_v over_o the_o which_o one_o day_n be_v again_o add_v to_o the_o 29_o day_n of_o the_o last_o month_n that_o we_o may_v by_o that_o mean_n come_v as_o in_o other_o year_n to_o the_o golden_a number_n which_o show_v the_o new_a moon_n in_o january_n follow_v and_o for_o this_o reason_n the_o epact_n than_o do_v not_o consist_v of_o 11_o but_o of_o 12_o day_n and_o thus_o you_o see_v the_o reason_n for_o which_o the_o golden_a number_n be_v thus_o set_v in_o the_o calendar_n as_o here_o you_o see_v in_o which_o we_o may_v also_o observe_v that_o every_o follow_a number_n be_v make_v by_o add_v 8_o to_o the_o number_n precede_v and_o every_o precede_a number_n be_v also_o make_v by_o add_v 11_o to_o the_o number_n next_o follow_v and_o cast_v away_o 19_o when_o the_o addition_n shall_v exceed_v it_o for_o example_n if_o you_o add_v 8_o to_o the_o golden_a number_n 3_o set_v against_o the_o first_o of_o january_n it_o make_v 11_o
to_o which_o add_v 8_o more_o and_o it_o make_v 19_o to_o which_o add_v 8_o it_o make_v 27_o from_o which_o substracting_a 19_o the_o remainder_n be_v 8_o to_o which_o again_o add_v 8_o the_o sum_n be_v 19_o to_o which_o add_v 8_o the_o sum_n be_v 24_o from_o which_o deduct_v 19_o the_o remainder_n be_v 5_o and_o so_o of_o the_o rest_n in_o like_a manner_n recede_v backward_o to_o the_o 5_o add_v 11_o they_o make_v 16_o to_o the_o 16_o add_v 11_o they_o make_v 27_o from_o which_o deduct_v 19_o the_o remainder_n be_v 8_o to_o which_o 11_o be_v add_v the_o same_o be_v 19_o to_o which_o 11_o be_v add_v the_o sum_n be_v 30_o from_o which_o deduct_v 19_o the_o remainder_n be_v 11_o to_o which_o 11_o be_v add_v the_o sum_n be_v 22_o from_o which_o deduct_v 19_o the_o remainder_n be_v 3._o and_o by_o this_o we_o may_v see_v that_o every_o follow_a number_n will_v be_v in_o use_n 8_o year_n after_o the_o precede_a and_o every_o precede_a number_n will_v be_v in_o use_n 11_o year_n after_o the_o follow_a that_o be_v the_o same_o will_v return_v to_o be_v in_o use_n after_o 8_o year_n and_o 11_o and_o the_o other_o after_o 11_o year_n and_o 8_o or_o once_o in_o 19_o year_n chap._n iii_o of_o the_o use_n of_o the_o golden_a number_n in_o find_v the_o feast_n of_o easter_n the_o cycle_n of_o the_o moon_n or_o golden_a number_n be_v a_o circle_n of_o 19_o year_n as_o have_v be_v say_v already_o which_o be_v distribute_v in_o the_o calendar_n as_o have_v be_v show_v in_o the_o last_o chapter_n do_v show_v the_o day_n of_o the_o new_a moon_n for_o ever_o though_o not_o exact_o but_o the_o use_n for_o which_o it_o be_v chief_o intend_v be_v to_o find_v the_o paschal_n new_a moon_n that_o be_v those_o new_a moon_n on_o which_o the_o feast_n of_o easter_n and_o other_o movable_a feast_n depend_v to_o this_o purpose_n we_o must_v remember_v 1._o that_o the_o vernal_a equinox_n be_v suppose_v to_o be_v fix_v to_o the_o twenty_o first_o day_n of_o march._n 2._o that_o the_o fourteen_o day_n of_o the_o moon_n on_o which_o the_o feast_n of_o easter_n do_v depend_v can_v never_o happen_v before_o the_o equinox_n though_o it_o may_v fall_v upon_o it_o or_o upon_o the_o day_n follow_v 3._o that_o the_o feast_n of_o easter_n be_v never_o observe_v upon_o the_o fourteen_o day_n of_o the_o moon_n but_o upon_o the_o sunday_n follow_v so_o that_o if_o the_o fourteen_o day_n of_o the_o moon_n be_v sunday_n the_o sunday_n follow_v be_v easter_n day_n 4._o that_o the_o feast_n of_o easter_n may_v fall_v upon_o the_o fifteen_o day_n of_o the_o moon_n or_o upon_o any_o other_o day_n unto_o the_o twenty_o first_o inclusive_o 5._o that_o the_o paschal_n sunday_n be_v discover_v by_o the_o proper_a and_o dominical_a letter_n for_o every_o year_n the_o which_o may_v be_v find_v as_o have_v be_v already_o declare_v or_o by_o the_o proper_a table_n for_o that_o purpose_n hence_o it_o follow_v 1._o that_o the_o new_a moon_n immediate_o precede_v the_o feast_n of_o easter_n can_v be_v before_o the_o eight_o day_n of_o march_n for_o if_o you_o suppose_v it_o to_o be_v upon_o march_z 6_o the_o moon_n will_v be_v 14_o day_n old_a march_n 19_o which_o be_v before_o the_o equinox_n contrary_a to_o the_o second_o rule_n before_o give_v and_o upon_o the_o seven_o day_n of_o march_n there_o be_v no_o golden_a number_n fix_v and_o therefore_o the_o golden_a number_n 16_o which_o stand_v against_o march_n 8_o be_v the_o first_o by_o which_o the_o paschal_n new_a moon_n may_v be_v discover_v 2._o it_o follow_v hence_o that_o the_o last_o paschal_n new_a moon_n can_v happen_v beyond_o the_o five_o day_n of_o april_n because_o all_o the_o 19_o golden_a number_n be_v express_v from_o the_o eight_o of_o march_n to_o that_o day_n and_o if_o a_o new_a moon_n shall_v happen_v upon_o the_o six_o of_o april_n there_o will_v be_v two_o paschal_n new_a moon_n that_o year_n one_o upon_o the_o eight_o of_o march_n and_o another_o upon_o the_o six_o of_o april_n the_o same_o golden_a number_n 16_o be_v proper_a to_o they_o both_o but_o this_o be_v absurd_a because_o easter_n can_v be_v observe_v twice_o in_o one_o year_n 3._o it_o follow_v hence_o that_o the_o feast_n of_o easter_n can_v never_o happen_v before_o the_o twenty_o second_o day_n of_o march_n nor_o after_o the_o twenty_o five_o day_n of_o april_n for_o if_o the_o first_o new_a moon_n be_v upon_o the_o eight_o of_o march_n and_o that_o the_o feast_n of_o easter_n must_v be_v upon_o the_o sunday_n follow_v the_o fourteen_o day_n of_o the_o moon_n it_o be_v plain_a that_o the_o fourteen_o day_n of_o the_o moon_n must_v be_v march_n 21_o at_o the_o soon_o so_o that_o suppose_v the_o next_o day_n to_o be_v sunday_n easter_n can_v not_o be_v before_o march_v the_o twenty_o second_o and_o because_o the_o fourteen_o day_n of_o the_o last_o moon_n fall_v upon_o the_o eighteen_o day_n of_o april_n if_o that_o day_n be_v saturday_n and_o the_o dominical_a letter_n d_o easter_n shall_v be_v upon_o the_o nineteen_o day_n but_o if_o it_o be_v sunday_n easter_n can_v be_v till_o the_o twenty_o five_o 4._o it_o follow_v hence_o that_o although_o there_o be_v but_o 19_o day_n on_o which_o the_o fourteen_o day_n of_o the_o moon_n can_v happen_v as_o there_o be_v but_o 19_o golden_a number_n yet_o there_o be_v 35_o day_n from_o the_o twenty_o second_o of_o march_n to_o the_o twenty_o five_o of_o april_n on_o which_o the_o feast_n of_o easter_n may_v happen_v because_o there_o be_v no_o day_n within_o those_o limit_n but_o may_v be_v the_o sunday_n follow_v the_o fourteen_o day_n of_o the_o moon_n and_o although_o the_o feast_n of_o easter_n can_v never_o happen_v upon_o march_n 22_o but_o when_o the_o fourteen_o day_n of_o the_o moon_n be_v upon_o the_o twenty_o first_o and_o the_o sunday_n letter_n d_o nor_o upon_o the_o twenty_o five_o of_o april_n but_o when_o the_o fourteen_o day_n of_o the_o moon_n be_v upon_o april_n 18_o and_o the_o dominical_a letter_n c._n yet_o easter_n may_v fall_v upon_o march_n 23_o not_o only_a when_o the_o fourteen_o day_n of_o the_o moon_n be_v upon_o the_o twenty_o second_o day_n which_o be_v saturday_n but_o also_o if_o it_o fall_v upon_o the_o twenty_o first_o which_o be_v friday_n in_o like_a manner_n easter_n may_v fall_v upon_o april_n 24_o not_o only_a when_o the_o fourteen_o day_n of_o the_o moon_n be_v upon_o the_o eighteen_o day_n which_o be_v monday_n but_o also_o if_o it_o happen_v upon_o the_o seventeen_o be_v sunday_n and_o for_o the_o same_o reason_n it_o may_v fall_v often_o upon_o other_o day_n that_o be_v further_a distant_a from_o the_o say_v twenty_o second_o of_o march_n and_o twenty_o five_o of_o april_n 5._o it_o follow_v hence_o that_o the_o feast_n of_o easter_n may_v be_v easy_o find_v in_o any_o year_n propound_v for_o the_o golden_a number_n in_o any_o year_n be_v give_v if_o you_o look_v the_o same_o between_o the_o eight_o of_o march_n and_o five_o of_o april_n both_o inclusive_o and_o reckon_v 14_o day_n from_o that_o day_n which_o answer_v to_o the_o golden_a number_n give_v where_o your_o account_n do_v end_n be_v the_o fourteen_o day_n of_o the_o moon_n then_o consider_v which_o be_v the_o dominical_a letter_n for_o that_o year_n and_o that_o which_o follow_v next_o after_o the_o fourteen_o day_n of_o the_o moon_n be_v easter_n day_n example_n in_o the_o year_n 1674_o the_o golden_a number_n be_v 3_o and_o the_o sunday_n letter_n d_o which_o be_v seek_v in_o the_o calendar_n between_o the_o aforesaid_a limit_n the_o fourteen_o day_n of_o the_o moon_n be_v upon_o april_n the_o thirteen_o and_o the_o d_o next_z following_z be_v april_n 19_o and_o therefore_o easter_n day_n that_o year_n be_v april_n 19_o otherwise_o thus_o in_o march_n after_o the_o first_o c_z look_v the_o prime_n wherever_o it_o be_v the_o three_o sunday_n after_o easter_n day_n shall_v be_v and_o if_o the_o prime_n on_o sunday_n be_v reckon_v that_o for_o one_o of_o the_o three_o 6._o thus_o the_o feast_n of_o easter_n may_v be_v find_v in_o the_o calendar_n and_o from_o thence_o a_o brief_a table_n show_v the_o same_o may_v be_v extract_v in_o this_o manner_n write_v in_o one_o column_n the_o several_a golden_a number_n in_o the_o calendar_n from_o the_o eight_o of_o march_n to_o the_o five_o of_o april_n in_o the_o same_o order_n observe_v the_o same_o distance_n in_o the_o second_o column_n set_v the_o dominical_a letter_n in_o number_n 35_o so_o dispose_v as_o that_o no_o dominical_a letter_n may_v stand_v against_o the_o golden_a number_n 16_o but_o set_v the_o letter_n d_o against_o the_o golden_a number_n 5_o write_v the_o rest_n in_o this_o
golden_a number_n and_o embolismical_a year_n and_o this_o rank_n be_v thus_o make_v the_o other_o epact_n be_v dispose_v in_o their_o natural_a order_n ascend_v upward_o and_o the_o number_n once_o again_o resume_v after_o the_o epact_n 30_o or_o rather_o this_o asterisk_n *_o set_v in_o the_o place_n thereof_o only_o observe_v that_o under_o the_o golden_a number_n 12._o 13._o 14._o 15._o 16._o 17._o 18._o 19_o in_o the_o place_n of_o xx_o there_o be_v yet_o 25_o in_o the_o common_a character_n and_o to_o the_o epact_n under_o the_o golden_a number_n 19_o 12_o must_v still_o be_v add_v to_o make_v that_o epact_n under_o the_o golden_a number_n 1._o as_o be_v say_v before_o concern_v the_o low_a rank_n 5._o and_o on_o the_o left_a hand_n of_o these_o epact_n before_o those_o under_o the_o golden_a number_n 3._o be_v set_v 30_o letter_n of_o the_o alphabet_n 19_o in_o a_o small_a character_n and_o 11_o in_o a_o great_a in_o which_o some_o be_v pass_v by_o for_o no_o other_o reason_n save_v only_o this_o that_o their_o similitude_n with_o some_o of_o the_o small_a letter_n shall_v not_o occasion_v any_o mistake_n in_o their_o use_n which_o shall_v be_v show_v in_o its_o place_n 6._o beside_o this_o table_n there_o be_v another_o table_n make_v which_o be_v call_v tabula_fw-la aequationis_fw-la epactarum_fw-la in_o which_o there_o be_v a_o series_n of_o year_n in_o which_o the_o moon_n by_o reason_n of_o her_o mention_a anticipation_n do_v need_v aequation_n and_o in_o which_o the_o number_n of_o epact_n sign_v with_o the_o letter_n of_o the_o alphabet_n be_v to_o be_v change_v be_v otherwise_o aequate_v where_o it_o need_v by_o the_o suppression_n of_o the_o bissextile_a day_n 7._o but_o it_o suppose_v that_o it_o be_v convenient_a to_o suppress_v the_o bissextiles_fw-la once_o only_o in_o 100_o year_n and_o the_o moon_n to_o be_v aequate_v or_o as_o far_o as_o concern_v herself_o the_o rank_n of_o epact_n to_o be_v change_v once_o only_o in_o 300_o year_n and_o the_o 12_o year_n and_o a_o half_a more_o to_o be_v refer_v till_o after_o the_o year_n 2400_o they_o do_v amount_v unto_o 100_o year_n and_o then_o a_o aequation_n to_o be_v make_v but_o than_o it_o must_v be_v make_v by_o reason_n of_o the_o interpose_v this_o hundred_o not_o in_o the_o three_o hundred_o but_o the_o hundred_o year_n moreover_o this_o aequation_n be_v to_o be_v make_v as_o in_o referece_n to_o the_o moon_n only_o because_o as_o the_o suppression_n of_o the_o bissextiles_fw-la intervene_v the_o order_n of_o change_v the_o rank_n of_o epact_n be_v vary_v as_o shall_v be_v show_v hereafter_o 8._o again_o this_o table_n suppose_v that_o see_v the_o new_a moon_n at_o the_o time_n of_o the_o nicene_n council_n be_v upon_o the_o calends_o of_o january_n the_o golden_a number_n 3_o be_v there_o place_v that_o it_o will_v have_v be_v the_o same_o if_o the_o epact_n *_o have_v be_v set_v to_o the_o same_o calends_o that_o be_v if_o the_o epact_n have_v be_v then_o in_o use_n and_o therefore_o at_o that_o time_n the_o high_a or_o last_o rank_n of_o epact_n be_v to_o be_v use_v who_o index_n be_v p_o and_o then_o after_o 300_o year_n the_o low_a or_o first_o rank_n shall_v succeed_v who_o index_n be_v a_o for_o the_o letter_n return_v in_o a_o circle_n and_o after_o 300_o year_n more_o the_o follow_a rank_n who_o index_n be_v b_o and_o so_o forward_o but_o that_o it_o be_v conceive_v that_o the_o new_a moon_n in_o the_o calends_o of_o january_n be_v more_o agreeable_a to_o the_o year_n of_o christ_n 500_o than_o the_o time_n of_o the_o nicene_n council_n and_o therefore_o as_o if_o the_o rank_n of_o epact_n under_o the_o letter_n l_o be_v suitable_a to_o the_o year_n 500_o it_o seem_v good_a to_o make_v use_n of_o that_o rank_n under_o the_o letter_n a_o in_o the_o year_n of_o christ_n 800_o and_o those_o under_o the_o letter_n b_o in_o the_o year_n 1100_o and_o those_o under_o the_o letter_n e_o in_o the_o year_n 1400._o 9_o which_o be_v grant_v because_o in_o the_o year_n 1582_o ten_o day_n be_v cut_v off_o from_o the_o calendar_n we_o must_v run_v backward_o or_o in_o a_o invert_v order_n count_v 10_o series_n design_v suppose_v by_o the_o letter_n b._n a._n p._n n._n m._n h._n g._n f._n e._n d._n so_o that_o from_o the_o year_n 1582_o the_o series_n of_o epact_n who_o literal_a index_n be_v d_o be_v to_o be_v use_v and_o this_o be_v that_o rank_n of_o epact_n which_o be_v now_o use_v in_o the_o church_n of_o rome_n 10._o and_o therefore_o as_o if_o this_o table_n have_v its_o beginning_n from_o that_o year_n the_o first_o number_n in_o the_o second_o column_n be_v 1582_o and_o then_o in_o order_n under_o it_o 1600._o 1700._o 1800._o 1900._o 2000_o etc._n etc._n and_o in_o the_o three_o column_n every_o four_o hundred_o year_n be_v mark_v for_o a_o bissextile_a that_o be_v 1600._o 2400._o 2800_o etc._n etc._n and_o in_o the_o four_o column_n to_o every_o three_o hundred_o year_n be_v set_v this_o character_n c_o to_o show_n in_o what_o year_n the_o moon_n by_o her_o anticipation_n of_o one_o day_n do_v need_v aequation_n but_o in_o the_o year_n 1800_o the_o double_a character_n be_v set_v cc_o to_o signify_v that_o then_o another_o hundred_o year_n be_v get_v by_o the_o 12_o year_n and_o a_o half_a reserve_v beside_o and_o above_o the_o other_o 300_o year_n and_o this_o character_n be_v also_o set_v to_o the_o year_n 4300._o 6800_o and_o for_o the_o same_o reason_n but_o in_o the_o first_o column_n or_o on_o the_o left_a hand_n of_o these_o year_n be_v place_v the_o letter_n or_o indices_fw-la of_o those_o rank_n of_o epact_n in_o the_o former_a table_n which_o be_v to_o be_v use_v in_o those_o year_n and_o when_o the_o letter_n be_v charge_v thus_o against_o the_o year_n 1600_o the_o letter_n d_o be_v continue_v to_o show_v that_o from_o that_o year_n to_o the_o year_n 1700_o the_o rank_n of_o epact_n be_v still_o to_o be_v use_v which_o do_v belong_v to_o that_o letter_n and_o for_o as_o much_o as_o the_o letter_n c_o be_v set_v to_o the_o year_n 1700_o it_o show_v that_o that_o rank_n of_o epact_n be_v then_o to_o be_v use_v which_o do_v belong_v thereto_o and_o so_o of_o the_o rest_n 11._o the_o reason_n why_o these_o letter_n in_o the_o first_o column_n be_v sometime_o change_v in_o 100_o year_n sometime_o in_o 200_o sometime_o not_o in_o less_o than_o 300_o year_n and_o that_o they_o be_v sometime_o take_v forward_o sometime_o backward_o according_a to_o the_o order_n of_o the_o alphabet_n be_v because_o the_o suppression_n of_o the_o bissextiles_fw-la do_v intervene_v with_o the_o lunar_a aequation_n for_o if_o the_o bissextile_a be_v only_o to_o be_v suppress_v in_o these_o 300_o or_o sometime_o 400_o year_n in_o which_o the_o moon_n need_v aequation_n the_o rank_n of_o epact_n in_o that_o case_n will_v need_v no_o commutation_n but_o will_v continue_v the_o same_o for_o ever_o and_o the_o golden_a number_n will_v have_v be_v sufficient_a if_o the_o suppression_n of_o the_o bissextile_a and_o anticipation_n of_o the_o moon_n do_v by_o a_o perpetual_a compensation_n cause_v the_o new_a moon_n still_o to_o return_v to_o the_o same_o day_n but_o because_o the_o bissextile_a be_v ofttimes_o suppress_v when_o the_o moon_n have_v no_o aequation_n the_o moon_n have_v sometime_o a_o aequation_n when_o the_o bissextile_a be_v not_o suppress_v sometime_o also_o both_o be_v to_o be_v do_v and_o sometime_o neither_o all_o which_o variety_n may_v yet_o be_v reduce_v to_o these_o three_o rule_n 1._o as_o often_o as_o the_o bissextile_a be_v suppress_v without_o any_o aequation_n of_o the_o moon_n than_o the_o letter_n which_o serve_v to_o that_o time_n shall_v be_v change_v to_o the_o next_o below_o it_o contrary_a to_o the_o order_n of_o the_o alphabet_n and_o the_o new_a moon_n shall_v be_v remove_v one_o day_n towards_o the_o end_n of_o the_o year_n 2._o as_o often_o as_o the_o moon_n need_v aequation_n without_o suppression_n of_o the_o bissextile_a than_o the_o letter_n which_o be_v in_o use_n to_o that_o time_n shall_v be_v change_v to_o the_o next_o above_o it_o according_a to_o the_o order_n of_o the_o alphabet_n that_o the_o new_a moon_n may_v again_o return_v one_o day_n towards_o the_o beginning_n of_o the_o year_n 3._o as_o often_o as_o there_o be_v a_o suppression_n and_o a_o aequation_n both_o or_o when_o there_o be_v neither_o the_o letter_n be_v not_o change_v at_o all_o but_o that_o which_o serve_v for_o the_o former_a centenary_n shall_v also_o continue_v in_o the_o succeed_a because_o the_o compensation_n so_o make_v the_o new_a moon_n do_v neither_o go_v forward_o nor_o backward_a but_o happen_v in_o the_o compass_n of_o the_o same_o day_n 1._o and_o this_o
be_v enough_o to_o show_v for_o what_o reason_n the_o letter_n be_v so_o place_v in_o the_o table_n as_o there_o you_o see_v they_o for_o in_o the_o year_n 1600_o the_o bissextile_a be_v neither_o suppress_v nor_o the_o moon_n aequate_v the_o letter_n d_o use_v in_o the_o former_a centenary_n or_o in_o the_o latter_a part_n thereof_o from_o the_o year_n 1582_o be_v still_o the_o same_o in_o the_o year_n 1700_o because_o there_o be_v a_o suppression_n but_o no_o aequation_n the_o commutation_n be_v make_v to_o the_o letter_n c_o descending_z in_o the_o year_n 1800_o because_o there_o be_v both_o a_o suppression_n and_o a_o aequation_n the_o same_o letter_n c_o do_v still_o continue_v in_o the_o year_n 2400_o because_o there_o be_v a_o aequation_n and_o no_o suppression_n there_o be_v a_o ascension_n to_o the_o letter_n a._n and_o thus_o you_o see_v not_o only_o the_o construction_n of_o this_o table_n but_o how_o it_o may_v be_v continue_v to_o any_o other_o year_n as_o long_o as_o the_o world_n shall_v last_v 12._o and_o by_o these_o two_o table_n we_o may_v easy_o know_v which_o rank_n of_o the_o 30_o epact_n do_v belong_v to_o or_o be_v proper_a for_o any_o particular_a age_n for_o as_o in_o our_o age_n that_o be_v from_o the_o year_n 1600_o to_o the_o year_n 1700_o exclusive_o that_o series_n be_v proper_a who_o index_n be_v d._n namely_o 23_o 4_o 15_o 26_o etc._n etc._n so_o in_o the_o two_o age_n follow_v that_o be_v from_o the_o year_n 1700_o to_o the_o year_n 1900_o exclusive_o that_o series_n be_v proper_a who_o index_n be_v c_o namely_o these_o 22_o 3_o 14_o 25._o and_o in_o the_o three_o age_n follow_v thence_o that_o be_v from_o the_o year_n 1900_o to_o the_o year_n 2100_o exclusive_o that_o series_n be_v proper_a who_o index_n be_v b_o namely_o these_o 21_o 2_o 13_o 24_o etc._n etc._n and_o so_o for_o any_o other_o hence_o also_o it_o may_v be_v know_v which_o of_o the_o 19_o do_v belong_v to_o any_o particular_a year_n for_o which_o no_o more_o be_v necessary_a than_o only_o to_o know_v the_o golden_a number_n for_o the_o year_n give_v which_o be_v seek_v in_o the_o head_n of_o the_o table_n and_o the_o index_n of_o that_o age_n in_o the_o side_n the_o common_a angle_n or_o meet_v of_o these_o two_o will_v show_v you_o the_o epact_n desire_v as_o in_o the_o year_n 1674_o the_o golden_a number_n be_v 3_o and_o the_o index_n d_o therefore_o in_o the_o common_a angle_n i_o find_v 23_o for_o the_o epact_n that_o year_n and_o show_v the_o new_a moon_n in_o every_o month_n thereof_o and_o here_o it_o will_v not_o be_v unseasonable_a to_o give_v the_o reason_n for_o which_o the_o epact_n 25_o not_o xxv_o be_v write_v under_o the_o golden_a number_n 12_o 13_o 14_o 15_o 16_o 17_o 18_o 19_o namely_o because_o the_o rank_n of_o epact_n which_o under_o these_o great_a number_n have_v this_o epact_n 25_o have_v also_o xxiv_o it_o will_v follow_v that_o in_o these_o age_n in_o which_o any_o of_o these_o rank_n be_v in_o use_n the_o new_a moon_n in_o 19_o year_n will_v happen_v twice_o upon_o the_o same_o day_n in_o those_o six_o month_n in_o which_o the_o epact_n xxv_o and_o xxiv_o be_v set_v to_o the_o same_o day_n whereas_o the_o new_a moon_n do_v not_o happen_v on_o the_o same_o day_n till_o 19_o year_n be_v go_v about_o to_o avoid_v this_o inconvenience_n the_o epact_n 25_o not_o xxv_o be_v set_v under_o these_o great_a number_n and_o the_o epact_n 25_o be_v in_o the_o calendar_n in_o these_o month_n set_v with_o the_o epact_n xxvi_o but_o in_o the_o other_o month_n with_o the_o epact_n xxv_o 14._o hence_o it_o come_v to_o pass_v 1._o that_o in_o these_o year_n the_o epact_n 25_o and_o xxiv_o do_v never_o meet_v on_o the_o same_o day_n 2._o that_o there_o be_v no_o danger_n that_o the_o epact_n 25_o and_o xxvi_o shall_v in_o these_o 6_o month_n cause_n the_o same_o inconvenience_n see_v that_o the_o epact_n 25_o and_o xxvi_o be_v never_o both_o find_v in_o the_o same_o rank_n 3._o that_o the_o epact_n 25_o may_v in_o other_o month_n without_o inconvenience_n be_v set_v to_o the_o same_o day_n with_o the_o epact_n xxvi_o because_o in_o these_o there_o be_v no_o danger_n of_o their_o meeting_n with_o the_o epact_n xxiv_o on_o the_o same_o day_n 4._o that_o there_o be_v no_o fear_n that_o the_o epact_n xxv_o and_o xxiv_o be_v set_v on_o the_o same_o day_n shall_v in_o future_a age_n cause_v the_o same_o inconvenience_n because_o the_o epact_n xxv_o and_o xxiv_o be_v not_o find_v together_o in_o any_o of_o the_o other_o rank_n but_o that_o either_o one_o or_o both_o of_o they_o be_v want_v beside_o when_o one_o of_o these_o epact_n be_v in_o use_n the_o other_o be_v not_o and_o that_o only_a which_o be_v in_o use_n be_v proper_a to_o the_o day_n as_o in_o this_o our_o age_n until_o the_o year_n 1700_o the_o epact_n in_o use_n be_v those_o in_o the_o rank_n who_o index_n be_v d._n in_o which_o these_o two_o xxiv_o and_o xxv_o be_v not_o both_o find_v and_o in_o the_o two_o follow_a age_n because_o the_o rank_n of_o epact_n in_o use_n be_v that_o who_o index_n be_v c_o in_o which_o there_o be_v the_o epact_n xxv_o not_o xxiv_o the_o new_a moon_n be_v show_v by_o the_o epact_n xxv_o not_o by_o xxiv_o but_o because_o in_o three_o follow_a age_n the_o rank_n of_o epact_n in_o use_n be_v that_o who_o index_n be_v b_o in_o which_o 25_o and_o xxiv_o be_v both_o find_v the_o new_a moon_n be_v show_v by_o the_o epact_n xxiv_o when_o the_o golden_a number_n be_v 6._o and_o by_o the_o epact_n 25_o when_o the_o golden_a number_n be_v 17_o and_o not_o by_o the_o epact_n xxv_o 15._o and_o if_o it_o be_v ask_v why_o the_o epact_n 19_o in_o the_o common_a character_n be_v set_v with_o the_o epact_n xx_o against_o the_o last_o day_n of_o december_n know_v that_o for_o the_o reason_n before_o declare_v the_o last_o embolismical_a month_n within_o the_o space_n of_o 19_o year_n aught_o to_o be_v but_o 29_o day_n and_o not_o 30_o as_o the_o rest_n be_v and_o therefore_o when_o the_o epact_n 19_o do_v concur_v with_o the_o golden_a number_n 19_o the_o last_o month_n or_o last_o lunation_n begin_v the_o second_o of_o december_n shall_v end_v upon_o the_o 30_o and_o not_o upon_o the_o 31_o of_o that_o month_n and_o the_o new_a moon_n shall_v be_v suppose_v to_o happen_v upon_o the_o 31_o under_o the_o same_o epact_n 19_o that_o 12_o be_v add_v to_o 19_o and_o not_o 11_o you_o may_v have_v one_o for_o the_o epact_n of_o the_o year_n follow_v which_o may_v be_v find_v upon_o the_o 30_o of_o january_n as_o if_o the_o lunation_n of_o 30_o day_n have_v be_v accomplish_v the_o day_n before_o chap._n vi_o how_o to_o find_v the_o dominical_a letter_n and_o feast_n of_o easter_n according_a to_o the_o gregorian_a account_n have_v show_v for_o what_o reason_n and_o in_o what_o manner_n the_o epact_n be_v substitute_v in_o the_o place_n of_o the_o golden_a number_n and_o how_o the_o new_a moon_n may_v be_v by_o they_o find_v in_o the_o calendar_n for_o ever_o i_o shall_v now_o show_v you_o how_o to_o find_v the_o feast_n of_o easter_n and_o the_o other_o movable_a feast_n according_a to_o the_o gregorian_a or_o new_a account_n and_o to_o this_o purpose_n i_o must_v first_o show_v you_o how_o to_o find_v the_o dominical_a letter_n for_o that_o the_o cycle_n of_o 28_o year_n will_v not_o serve_v the_o turn_n because_o of_o the_o suppression_n of_o the_o bissextile_a once_o in_o a_o hundred_o year_n but_o do_v require_v 7_o cycle_n of_o 28_o year_n apeice_n the_o first_o whereof_o begin_v with_o cb_n and_o end_v in_o d._n the_o second_o begin_v with_o dc_o and_o end_v in_o e._n the_o three_o begin_v with_o ed_z and_o end_v in_o f_o etc._n etc._n the_o first_o of_o these_o cycle_n begin_v to_o be_v in_o use_n 1582_o in_o which_o year_n the_o dominical_a letter_n according_a to_o the_o julian_n account_n be_v g_z but_o upon_o the_o fifteen_o day_n of_o october_n that_o year_n be_v change_v to_o c_o for_o the_o five_o of_o october_n be_v friday_n and_o then_o call_v the_o fifteen_o the_o letter_n a_o become_v friday_n b_o saturday_n and_o c_o sunday_n the_o remain_a part_n of_o the_o year_n in_o which_o the_o cycle_n of_o the_o sun_n be_v 23_o and_o the_o second_o after_o the_o bissextile_a or_o leap_v year_n and_o so_o make_v c_z which_o answer_v to_o the_o fifteen_o year_n of_o that_o circle_n to_o be_v 23_o the_o circle_n will_v end_v at_o d_o and_o consequent_o cb_n which_o in_o the_o old_a account_n do_v belong_v to_o the_o 21_o year_n of_o the_o circle_n have_v ever_o since_o be_v call_v the_o first_o and_o so_o shall_v
continue_v until_o the_o year_n 1700_o in_o which_o the_o bissextile_a be_v suppress_v the_o next_o cycle_n will_v begin_v with_o dc_o as_o have_v be_v say_v already_o under_o the_o first_o rank_n or_o order_n of_o dominical_a letter_n be_v write_v the_o year_n 1582_o and_o 1600_o under_o the_o second_o 1700_o under_o the_o three_o 1800_o under_o the_o four_o 1900_o and_o 2000_o under_o the_o five_o 2100_o under_o the_o six_o 2200_o and_o under_o the_o seven_o 2300_o and_o 2400._o and_o again_o under_o the_o first_o order_n 2500_o under_o the_o second_o 2600_o under_o the_o three_o 2700_o and_o 2800_o and_o so_o forward_o as_o far_o as_o you_o please_v always_o observe_v the_o same_o order_n that_o the_o 100_o bissextile_a year_n may_v still_o be_v join_v with_o the_o not_o bissextile_a immediate_o precede_v 1._o and_o hence_o it_o appear_v that_o the_o seven_o order_n of_o dominical_a letter_n be_v so_o many_o table_n successive_o serve_v all_o future_a generation_n for_o as_o the_o first_o order_n serve_v from_o the_o year_n 1582_o and_o 1600_o to_o the_o year_n 1700_o exclusive_o and_o the_o second_o order_n from_o thence_o to_o the_o year_n 1800_o exclusive_o so_o shall_v all_o the_o rest_n in_o like_a manner_n which_o here_o be_v set_v down_o and_o to_o be_v set_v down_o at_o pleasure_n and_o hence_o the_o dominical_a letter_n or_o letter_n may_v be_v find_v for_o any_o year_n propound_v as_o if_o it_o be_v require_v to_o find_v the_o dominical_a letter_n for_o the_o year_n 1674_o because_o the_o year_n give_v be_v contain_v in_o the_o centenary_a 1600._o i_o find_v the_o cycle_n of_o the_o sun_n by_o the_o rule_n already_o give_v to_o be_v 3._o in_o the_o first_o order_n against_o the_o number_n 3_o i_o find_v g_o for_o the_o sunday_n letter_n of_o that_o year_n in_o like_a manner_n because_o the_o year_n 1750_o be_v contain_v under_o the_o centenary_n 1700_o the_o cycle_n of_o the_o sun_n be_v 27_o i_o find_v in_o the_o second_o rank_n the_o letter_n d_o answer_v to_o that_o number_n and_o that_o be_v the_o dominical_a letter_n for_o that_o year_n and_o so_o of_o the_o rest_n 3._o again_o for_o as_o much_o as_o the_o five_o order_n be_v the_o same_o with_o that_o table_n which_o serve_v for_o the_o old_a account_n therefore_o that_o order_n will_v serve_v the_o turn_n for_o ever_o where_o that_o calendar_n be_v in_o use_n and_o so_o this_o last_o will_v be_v of_o perpetual_a use_n to_o both_o the_o calendar_n 4._o now_o then_o to_o find_v the_o time_n in_o which_o the_o feast_n of_o easter_n be_v to_o be_v observe_v there_o be_v but_o little_a to_o be_v add_v to_o that_o which_o have_v be_v already_o say_v concern_v the_o julian_n calendar_n for_o the_o paschal_n limit_n be_v the_o same_o in_o both_o the_o difference_n be_v only_o in_o the_o epact_n which_o here_o be_v use_v instead_o of_o the_o golden_a number_n 5._o for_o the_o term_n of_o the_o paschal_n new_a moon_n be_v always_o the_o eight_o of_o march_n and_o the_o five_o of_o april_n but_o whereas_o there_o be_v 11_o day_n within_o these_o limit_n to_o which_o no_o golden_a number_n be_v affix_v there_o be_v now_o one_o day_n to_o which_o a_o epact_n be_v not_o appoint_v because_o there_o be_v no_o day_n within_o those_o limit_n on_o which_o in_o process_n of_o time_n a_o new_a moon_n may_v not_o happen_v and_o the_o reason_n for_o which_o the_o two_o epact_n xxv_o and_o xxiv_o be_v both_o set_v to_o the_o five_o of_o april_n be_v first_o general_n which_o be_v show_v before_o nam_o that_o by_o do_v the_o same_o in_o 5_o other_o month_n the_o 12_o time_n 30_o epact_n may_v be_v contract_v to_o the_o limit_n of_o the_o lunar_a year_n which_o consist_v of_o 354_o day_n but_o there_o be_v a_o particular_a reason_n also_o for_o it_o that_o the_o ancient_n have_v appoint_v that_o all_o the_o paschal_n lunation_n shall_v consist_v of_o 29_o day_n it_o be_v necessary_a that_o some_o two_o of_o the_o epact_n shall_v be_v set_v to_o one_o of_o these_o day_n in_o which_o the_o paschal_n lunation_n may_v happen_v the_o epact_n be_v 30_o in_o number_n and_o it_o be_v think_v convenient_a to_o choose_v the_o last_o day_n to_o which_o the_o epact_n xxv_o belong_v the_o epact_n xxiv_o shall_v also_o be_v set_v and_o hence_o by_o imitation_n it_o come_v to_o pass_v that_o these_o and_o not_o other_o epact_n be_v set_v to_o that_o day_n in_o other_o month_n in_o which_o two_o epact_n be_v to_o be_v set_v to_o the_o same_o day_n 6._o the_o use_n of_o these_o epact_n in_o find_v the_o feast_n of_o easter_n be_v the_o same_o with_o that_o which_o have_v be_v show_v concern_v the_o golden_a number_n for_o the_o epact_n and_o the_o sunday_n letter_n for_o that_o year_n propound_v be_v give_v the_o feast_n of_o easter_n may_v be_v find_v in_o the_o calendar_n after_o the_o same_o manner_n thus_o in_o the_o year_n 1674_o the_o epact_n be_v 23_o and_o the_o sunday_n letter_n g_o and_o therefore_o reckon_v fourteen_o day_n from_o the_o eight_o of_o march_n to_o which_o the_o epact_n be_v set_v the_o sunday_n follow_v be_v march_v 25_o which_o be_v the_o day_n on_o which_o the_o feast_n of_o easter_n be_v observe_v 7._o and_o hence_o as_o have_v be_v show_v in_o the_o three_o chapter_n concern_v the_o julian_n calendar_n a_o brief_a table_n may_v be_v make_v to_o show_v the_o feast_n of_o easter_n and_o the_o other_o movable_a feast_n for_o ever_o in_o which_o there_o be_v no_o other_o difference_n save_v only_o that_o the_o epact_n as_o they_o be_v in_o this_o new_a calendar_n be_v to_o be_v use_v as_o the_o golden_a number_n be_v which_o stand_v in_o the_o old_a calendar_n and_o a_o table_n have_v the_o golden_a number_n of_o the_o old_a calendar_n set_v in_o one_o column_n and_o the_o epact_n as_o they_o be_v in_o the_o new_a calendar_n set_v in_o another_o will_v indifferent_o show_v the_o movable_a feast_n in_o both_o account_n as_o in_o the_o year_n 1674_o the_o golden_a number_n be_v 3_o and_o the_o sunday_n letter_n according_a to_o the_o julian_n account_n be_v d_o according_a to_o the_o gregorian_a g_z and_o the_o epact_n 23_o and_o therefore_o according_a to_o this_o table_n our_o easter_n be_v april_n 19_o and_o the_o other_o to_o wit_n the_o gregorian_a be_v march_n 25._o the_o like_a may_v be_v do_v for_o any_o other_o year_n past_a or_o to_o come_v chap._n vii_o how_o to_o reduce_v sexagenary_a number_n into_o decimal_n and_o the_o contrary_a every_o circle_n have_v ancient_o and_o be_v yet_o general_o suppose_v to_o be_v divide_v into_o 300_o degree_n each_o degree_n into_o 60_o minute_n each_o minute_n into_o 60_o second_o and_o so_o forward_o as_o far_o as_o need_v shall_v require_v but_o this_o partition_n be_v somewhat_o troublesome_a in_o addition_n and_o subtraction_n much_o more_o in_o multiplication_n and_o division_n and_o the_o table_n hitherto_o contrive_v to_o ease_v that_o manner_n of_o computation_n do_v scarce_o sufficient_o perform_v the_o work_n for_o which_o they_o be_v intend_v and_o although_o the_o canon_n publish_v by_o the_o learned_a h._n gellibrand_n in_o which_o the_o division_n of_o the_o circle_n into_o 360_o degree_n be_v retain_v but_o every_o degree_n be_v divide_v into_o 100_o part_n be_v much_o better_a than_o the_o old_a sexagenary_a canon_n yet_o some_o be_v of_o opinion_n that_o if_o the_o ancient_n have_v divide_v the_o whole_a circle_n into_o 100_o or_o 1000_o part_n it_o will_v have_v prove_v much_o better_o then_o either_o only_o they_o think_v custom_n such_o a_o tyrant_n that_o the_o alteration_n of_o it_o now_o will_v not_o be_v perhaps_o so_o advantageous_a leave_v they_o therefore_o to_o enjoy_v their_o own_o opinion_n they_o will_v not_o i_o hope_v be_v offend_v if_o other_o be_v of_o another_o mind_n for_o their_o sake_n therefore_o that_o do_v rather_o like_o the_o decimal_n way_n of_o calculation_n having_n make_v a_o canon_n of_o artificial_a sign_n and_o tangent_n for_o the_o degree_n and_o part_n of_o a_o circle_n divide_v into_o 100_o part_n i_o shall_v here_o also_o show_v you_o how_o to_o reduce_v sexagenary_a number_n into_o decimal_n and_o the_o contrary_a as_o well_o in_o time_n as_o motion_n 2._o the_o part_n of_o a_o circle_n consist_v of_o 360_o degree_n may_v be_v reduce_v into_o the_o part_n of_o a_o circle_n divide_v into_o 100_o degree_n or_o part_n by_o the_o rule_n of_o three_o in_o this_o manner_n as_o 360_o be_v to_o 100_o so_o be_v any_o other_o number_n of_o degree_n in_o the_o one_o to_o the_o correspondent_a degree_n and_o part_n in_o the_o other_o but_o if_o the_o sexagenary_a degree_n have_v minute_n and_o second_o join_v with_o they_o you_o must_v reduce_v the_o whole_a circle_n as_o well_o as_o the_o part_n propound_v into_o the_o
or_o 146_o day_n 53_o revolution_n 0_o sign_n 7_o degree_n 56_o minute_n 45_o second_o and_o the_o apogaeon_fw-mi from_o the_o aequinox_n 5_o sign_n 12_o degree_n 46_o minute_n and_o hence_o the_o daily_a motion_n of_o her_o mean_a anomaly_n will_v be_v find_v to_o be_v 13_o d._n 03′_n 53″_n 57‴_n 09_o four_o 58_o v._n 46_o vi_fw-la of_o her_o apogaeon_fw-mi 0._o 06._o 41._o 04._o 03._o 25._o 33._o and_o according_a to_o these_o measure_n if_o you_o deduct_v the_o motion_n of_o the_o ☽_o mean_a anomaly_n for_o 1641_o year_n april_n 4._o hour_n 13._o 37′_n viz._n 8._o 22._o 02._o 00._o from_o 3._o 121._o 35._o 26_o the_o remainder_n be_v 6._o 201._o 33._o 26_o from_o which_o abate_v 20′_n 41″_n the_fw-fr ☽_o mean_a anom_n aera_fw-la chr._n 6._o 20._o 12._o 45._o  _fw-fr in_o like_a manner_n the_o motion_n of_o she_o apogaeon_fw-mi for_o the_o same_o time_n be_v 6._o 05._o 311._o 57_o which_o be_v deduct_v from_o 3._o 17._o 25._o 57_o the_o remainder_n be_v 9_o 11._o 55._o 56_o to_o which_o if_o you_o add_v 21.04_o the_o sum_n 91._o 121._o 15200_o be_v the_o place_n of_o the_o ☽_o apogaeon_n in_o the_o begin_n of_o the_o christian_a aera_fw-la  _fw-fr chap._n xvi_o of_o the_o find_n of_o the_o place_n and_o motion_n of_o the_o moon_n nodes_fw-la anno_fw-la christi_fw-la 1652_o march_v 28_o hour_n 22._o 16′_n the_o sun_n and_o moon_n be_v in_o conjunction_n mr._n street_n in_o page_n 33_o compute_v the_o ☽_o true_a place_n in_o the_o meridian_n of_o london_n to_o be_v in_o ♈_o 19_o 14._o 18_o with_o latitude_n north_n 46′_n 15″_n and_o anno_fw-la christi_fw-la 1654._o august_n 1._o hour_n 21._o 19′_n 30″_n be_v the_o middle_a of_o a_o solar_a eclipse_n at_o london_n at_o which_o time_n the_o moon_n true_a place_n be_v find_v to_o be_v in_o ♌_o 18._o 58′_n 12″_n with_o north_n latitude_n 32′_n 01″_n 1654._o august_n 1._o 21._o 19′_n 30″_n ☽_o place_n ♌_o 18._o 58._o 12_o 1652_o march_n 28._o 22._o 16._o 00_o ☽_o place_n ♈_o 19_o 14._o 18_o from_o the_o first_o observation_n to_o the_o second_o there_o be_v 27_o year_n 4_o month_n 5_o day_n 23_o hour_n 03′_n 30″_n mean_a motion_n of_o the_o nodes_fw-la in_o that_o time_n deg_n 45._o 19_o 41_o the_o true_a motion_n of_o the_o ☽_o 119._o 43._o 54_o their_o sum_n be_v in_o fig._n 11._o the_o angle_n dpb_n 165._o 03._o 35_o therefore_o in_o the_o oblique_a angle_a spherical_a triangle_n dpb_v we_o have_v give_v bp_o 89._o 13._o 45_o the_o compliment_n of_o the_o moon_n latitude_n in_o the_o first_o observation_n 2._o pd_v 89._o 27._o 50_o the_o compliment_n of_o the_o moon_n latitude_n in_o the_o second_o observation_n and_o the_o angle_n dpb_fw-mi 165._o 03._o 35_o who_o compliment_n to_o a_o semicircle_n be_v dpf_n 14._o 56._o 25._o the_o angle_n pbd_v be_v require_v 1._o proportion_n as_o the_o cotangent_fw-la of_o pd_v 89._o 27._o 50_o 9.97114485_o be_v to_o the_o radius_fw-la 10.00000000_o so_n be_v the_o cousin_n of_o dpf_n 14._o 56._o 25_o 9.98506483_o to_o the_o tang_n of_o pf_n 89._o 26._o 42_o 12.01191998_o bp_o 89._o 13._o 45_o  _fw-fr their_a z_o be_v fpb_a 178._o 40._o 27._o who_o compliment_n be_v the_o arch_n fg_v 1._o 19_o 33._o 2._o proportion_n as_o the_o sine_fw-la of_o fp_n 89._o 26._o 42._o co._n be_v 0.00002037_o be_v to_o the_o cotang_n of_o dpf_n 14._o 56._o 25_o 10.57376158_o so_o be_v the_o sine_fw-la of_o fg_v 1._o 19_o 33_o 8.36418419_o to_o the_o cotang_n of_o fgd_a 85._o 02._o 56_o 8.93796614_o fgd_v =_o pbd_a inquire_v  _fw-fr and_n in_o the_o right_n angle_v spherical_a triangle_n basilius_n ☊_o right_v angle_v at_o a_o we_o have_v give_v ab_fw-la 046′_n 15″_n the_o latitude_n in_o the_o first_o observation_n and_o the_o angle_n ab_fw-la ☊_o =_o pbd_a 85._o 02._o 56._o to_o find_v a_o ☊_o the_o longitude_n of_o the_o moon_n from_o the_o ascend_a node_n as_o the_o cot._n of_o ab_fw-la ☊_o 85._o 02._o 56_o 8.93796614_o be_v to_o the_o radius_fw-la 10.00000000_o so_n be_v the_o sine_fw-la of_o ab_fw-la 0_o 46′_n 15″_n 8.12882290_o to_o the_o tang_n of_o a_o ☊_o 8._o 49._o 17_o 9.19085676_o 2._o to_o find_v the_o angle_n a_o ☊_o b._n as_o the_o tang_n of_o ab_fw-la 0._o 46._o 15_o 8.12886212_o be_v to_o the_o radius_fw-la 10.00000000_o so_n be_v the_o sine_fw-la of_o a_o ☊_o 8._o 49._o 17_o 9.18569718_o to_o the_o cotang_n of_o a_o ☊_o b_o 5._o 0._o 41_o 11.05682506_o the_o angle_n of_o the_o ☽_o orbite_n with_o the_o ecliptic_a  _fw-fr the_o first_o observe_v place_n of_o the_o ☽_o ♈_o 19_o 14._o 18_o a_o ☊_o subtract_v 8._o 49._o 17_o there_o rest_v the_o true_a place_n of_o the_o ☊_o ♈_o 10._o 25._o 01_o the_o retrograde_a motion_n whereof_o in_o 4_o julian_n year_n or_o 2461_o day_n be_v by_o other_o observation_n find_v to_o be_v sign_n 2._o deg_n 17._o 22′_n 06″_n and_o therefore_o the_o daily_a motion_n deg_n 0._o 03′_n 10″_n 38‴_n 11_o four_o 35_o v._n and_o the_o motion_n thereof_o for_o 1651_o year_n march_v 28._o h._n 22._o 16′_n viz._n sign_n 8._o deg_n 18._o 26′_n 58″_n be_v add_v to_o the_o place_n of_o the_o node_n before_o find_v sig._n 0._o 10._o 25_o 01._o their_o sum_n be_v the_o place_n thereof_o in_o the_o begin_n of_o the_o christian_a aera_fw-la sign_n 8._o deg_n 28._o 51′_n 59″_n but_o the_o rudolphin_n table_n as_o they_o be_v correct_v by_o mr._n horron_n and_o reduce_v to_o the_o meridian_n of_o london_n do_v differ_v a_o little_a from_o these_o measure_n for_o according_a to_o these_o table_n the_o moon_n mean_v motion_n be_v aera_fw-la christi_fw-la the_o moon_n mean_a longitude_n be_v sign_n 04._o deg_n 02._o 25._o 55_o the_o moon_n apogaeon_fw-mi sign_n 09._o deg_n 13._o 46._o 59_o the_o moon_n mean_a anomaly_n sign_n 06._o deg_n 18._o 38._o 56_o the_o moon_n node_n retrograde_a sign_n 08._o deg_n 28._o 33._o 16_o and_o according_a to_o these_o measure_n the_o moon_n mean_v motion_n in_o decimal_a number_n be_v aera_fw-la christi_fw-la the_o moon_n mean_a longitude_n deg_n 34._o 00887.345677_o the_o moon_n apogaeon_fw-mi deg_n 78._o 82862.654320_o the_o moon_n mean_a anomaly_n deg_n 55._o 18024.691357_o the_o moon_n node_n retrograde_a deg_n 74._o 69845.679010_o the_o ☽_o mean_v motion_n for_o one_o year_n the_o moon_n mean_a longitude_n deg_n 35._o 94001._o 44893._o 1_o the_o moon_n apogeaon_n deg_n 11._o 29551._o 126365_o the_o moon_n mean_a anomaly_n deg_n 24._o 64450._o 322566_o the_o moon_n node_n retrograde_a deg_n 05._o 36900._o 781604_o the_o ☽_o mean_v motion_n for_o one_o day_n the_o moon_n mean_a longitude_n deg_n 03._o 66010._o 962873_o the_o moon_n apogaeon_fw-mi deg_n 00._o 03094._o 660620_o the_o moon_n mean_a anomaly_n deg_n 03._o 62916._o 302253_o the_o moon_n node_n retrograde_a deg_n 00._o 01470._o 961045_o and_o according_a to_o these_o measure_n be_v the_o table_n make_v show_v the_o moon_n mean_a longitude_n apogaeon_n anomaly_n and_o node_n retrograde_a for_o year_n month_n day_n and_o hour_n and_o hence_o to_o compute_v the_o moon_n true_a place_n in_o she_o orbit_n i_o shall_v make_v use_n of_o the_o method_n which_o mr._n horron_n in_o his_o posthumas_fw-la work_v last_o publish_v by_o mr._n flamsted_n in_o which_o from_o the_o rudolphin_n table_n he_o set_v down_o these_o dimension_n the_o moon_n mean_a semidiameter_n deg_n 00._o 15′_n 30″_n her_o mean_a distance_n in_o semid_n of_o the_o earth_n deg._n 11._o 47._o 22_o the_o half_a whereof_o deg_n 5._o 53._o 41._o he_o add_v 45_o the_o whole_a be_v deg_n 50._o 53._o 41_o who_o be_v artificial_a cotangent_fw-la be_v 9.91000022_o and_o the_o double_a thereof_o make_v this_o stand_a numb_a 9.82000044_o  _fw-fr great_a 6685._o 44_o  _fw-fr the_o moon_n mean_v 5523._o 69_o excentricity_n  _fw-fr least_o 4361._o 94_o  _fw-fr and_o her_o great_a variation_n 00._o 36′_n 27″_n these_o thing_n premise_v his_o direction_n for_o compute_v the_o moon_n place_n be_v as_o follow_v chap._n xvii_o how_o to_o calculate_v the_o moon_n true_a place_n in_o she_o orbit_n to_o the_o give_a time_n find_v the_o true_a place_n of_o the_o sun_n or_o his_o longitude_n from_o the_o vernal_a aequinox_n as_o have_v be_v already_o show_v 2._o from_o the_o table_n of_o the_o moon_n mean_v motion_n write_v out_o the_o epocha_n next_o before_o the_o give_v time_n and_o several_o under_o that_o set_v the_o motion_n belong_v to_o the_o year_n month_n and_o day_n complete_a and_o to_o the_o hour_n and_o scruple_n current_a every_o one_o under_o his_o like_a only_o remember_v that_o in_o the_o bissextile_a year_n after_o the_o end_n of_o february_n the_o day_n must_v be_v increase_v by_o one_o unite_n then_o add_v they_o all_o together_o the_o sum_n shall_v be_v the_o moon_n mean_v motion_n for_o the_o time_n give_v but_o in_o her_o node_n retrograde_a you_o must_v leave_v out_o the_o radix_fw-la or_o
according_a to_o the_o title_n the_o sum_n or_o difference_n be_v the_o true_a place_n of_o the_o node_n which_o be_v deduct_v from_o the_o place_n of_o the_o moon_n in_o her_o orb_n the_o remainder_n shall_v be_v the_o augment_v of_o latitude_n or_o distance_n of_o the_o moon_n from_o the_o node_n or_o leg_n a_o ☊_o 2._o with_o the_o augment_v of_o latitude_n enter_v the_o table_n of_o the_o moon_n be_v latitude_n and_o take_v thence_o her_o simple_a and_o latitude_n and_o increase_n answer_v to_o it_o then_o say_v as_o the_o whole_a excess_n of_o latitude_n 18′_n or_o in_o decimal_n 30._o be_v to_o the_o inclination_n of_o the_o monthly_a limit_n so_o be_v the_o increase_n of_o latitude_n to_o the_o part_n proportional_a which_o be_v add_v to_o the_o simple_a latitude_n will_v give_v you_o the_o true_a latitude_n of_o the_o moon_n 3._o with_o the_o same_o augment_v of_o latitude_n enter_v the_o table_n of_o reduction_n and_o take_v thence_o the_o reduction_n and_o inclination_n answer_v thereto_o then_o say_v again_o as_o 18′_n 00″_n or_o 0._o 30._o be_v to_o the_o inclination_n of_o the_o monthly_a limit_n so_o be_v the_o increase_n of_o reduction_n to_o the_o part_n proportional_a which_o be_v add_v to_o the_o simple_a reduction_n shall_v give_v the_o true_a to_o be_v add_v to_o or_o subtract_v from_o the_o place_n of_o the_o moon_n in_o the_o ecliptic_a example_n by_o the_o former_a chapter_n we_o find_v the_o mean_a motion_n of_o the_o node_n to_o be_v 95._o 96094_o which_o reduce_v to_o the_o degree_n and_o part_n of_o the_o common_a circle_n be_v 345.459384_o and_o the_o sun_n true_a place_n to_o be_v 345.291334_o their_o difference_n be_v the_o distance_n ☉_o à _fw-fr ☊_o 168050_o with_o which_o enter_v the_o table_n entitle_v tabula_fw-la aequationis_fw-la nodorum_n lunae_fw-la i_o find_v the_o node_n to_o need_v no_o equation_n and_o the_o inclination_n limitis_fw-la menstrui_fw-la to_o be_v deg_n 00._o 30._o the_o place_n of_o the_o ☽_o in_o her_o orbit_n 55.698954_o the_o nodes_fw-la true_a place_n subtract_v 345.459384_o the_o augment_v of_o latitude_n 70.239570_o 2._o with_o this_o augment_v of_o latitude_n i_o enter_v the_o table_n show_v the_o moon_n simple_a latitude_n and_o thereby_o find_v her_o simple_a latitude_n to_o be_v degree_n 04._o 70476._o north_n and_o the_o increase_n 00.28234_o and_o therefore_o the_o moon_n true_a latitude_n be_v deg_n 4.98610_o 3._o with_o the_o same_o augment_v of_o latitude_n i_o enter_v the_o table_n of_o reduction_n and_o thereby_o find_v the_o reduction_n to_o be_v 00.06955_o and_o the_o increase_n of_o reduction_n to_o be_v deg_n 00.00855_o and_o therefore_o the_o whole_a reduction_n to_o be_v sub_fw-la 00.07810_o from_o the_o ☽_o place_n in_o she_o orbit_n 55.69895_o the_o ☽_o true_a place_n in_o the_o ecliptic_a 55.62085_o that_o be_v in_o sexagenary_a number_n 8._o 25._o 37′_n 15″_n chap._n xix_o to_o find_v the_o mean_a conjunction_n and_o opposition_n of_o the_o sun_n and_o moon_n to_o this_o purpose_n we_o have_v here_o exhibit_v a_o table_n show_v the_o moon_n mean_a motion_n from_o the_o sun_n the_o construction_n whereof_o be_v this_o by_o the_o table_n of_o the_o moon_n mean_v motion_n her_o mean_a longitude_n aera_fw-la christi_fw-la be_v 34.0088734567_o the_o ☉_o mean_a anomaly_n 56.6997085185_o praecession_n of_o the_o aequinox_n 20.4976851851_o their_o sum_n be_v the_o ☉_o mean_z longit_fw-la aera_fw-la a_o christi_fw-la 77.4973937036_o which_o be_v deduct_v from_o the_o ☽_o mean_a longitude_n the_o remainder_n be_v the_o moon_n mean_v 56.8114797531_o distance_n from_o the_o sun_n in_o the_o begin_n of_o the_o christian_a aera_fw-la  _fw-fr in_o like_a manner_n the_o moon_n mean_a distance_n from_o the_o sun_n in_o a_o year_n or_o a_o day_n be_v thus_o find_v ☉_o anomaly_n for_o a_o year_n 99.9297857316_o praecession_n of_o the_o aequinox_n 0038580246_o their_o sum_n subtract_v 99.9336437562_o from_o the_o ☽_o mean_a longitude_n 35.9400144893_o moon_n distance_n from_o the_o ☉_o 36.0063707331_o moon_n distance_n from_o the_o sun_n in_o a_o day_n time_n ☉_o mean_a anomaly_n 27378.02348_o praecession_n of_o the_o aequinox_n 1.05699_o their_o sum_n subtract_v 27379.08047_o from_o the_o ☽_o mean_a longitude_n 03._o 66010.96287_o ☽_o daily_n motion_n from_o the_o ☉_o 03._o 38631.88240_o and_o according_a to_o these_o measure_n be_v the_o table_n make_v show_v the_o moon_n mean_a motion_n from_o the_o sun_n by_o which_o the_o mean_a conjunction_n of_o the_o ☽_o and_o moon_n may_v be_v thus_o compute_v to_o the_o give_v year_n and_o month_n gather_v the_o middle_a motion_n of_o the_o moon_n from_o the_o sun_n and_o take_v the_o compliment_n thereof_o to_o a_o whole_a circle_n from_o which_o subtract_v continual_o the_o near_a lesser_a middle_a motion_n the_o day_n hour_n and_o minute_n enfue_v thereto_o be_v the_o mean_a time_n of_o the_o conjunction_n example_n anno_fw-la christi_fw-la 1676._o i_o will_v know_v the_o time_n of_o the_o mean_a conjunction_n or_o new_a moon_n in_o october_n epocha_n 1660_o 32.697283_o year_n compl._n 15._o 50.254463_o septemb_n compl._n 24.465038_o 1._o day_n for_o leap-year_n 03.386318_o their_o sum_n be_v the_o moon_n motion_n from_o the_o ☉_o 10.803102_o compliment_n to_o a_o whole_a circle_n 89.196898_o day_n 26_o subtract_v 88.044289_o hour_n 8._o subtract_v 1.152609_o 1.128772_o minute_n 10_o subtract_v 0.023837_o 0.023516_o the_o remainder_n give_v 8″_n .00321_o therefore_o the_o mean_a conjunction_n in_o october_n 1676._o be_v the_o 26_o day_n 10_o min._n 8_o second_n after_o 8_o at_o night_n and_o to_o find_v the_o mean_a opposition_n to_o the_o compliment_n of_o the_o middle_a motion_n add_v a_o semicircle_n and_o then_o subtract_v the_o near_o lesser_a middle_a motion_n as_o before_o the_o day_n hour_n and_o minute_n ensue_v thereto_o shall_v be_v the_o mean_a opposition_n require_v example_n anno_fw-la christi_fw-la 1676._o i_o desire_v to_o know_v the_o mean_a opposition_n in_o november_n epocha_n 1660_o 32.697283_o year_n compl._n 15_o 50.254463_o october_n compl._n 29.440922_o 1_o day_n for_o leap-year_n 03.386318_o the_o ☽_o mean_v motion_n from_o the_o ☉_o 15.778986_o compliment_n to_o a_o whole_a circle_n 84.221014_o to_o which_o add_v a_o semicircle_n 50._o the_o sum_n be_v 34.221014_o day_n 10_o subtract_v 33.863188_o hour_n 2._o .357826_o .282193_o minute_n 32._o .075633_o .075251_o the_o remainder_n give_v 9_o second_n .000382_o therefore_o the_o full_a moon_n or_o mean_a opposition_n of_o the_o sun_n and_o moon_n be_v november_n the_o 10_o hour_n 2_o 32′_n 09″_n the_o like_a may_v be_v do_v for_o any_o other_o and_o here_o i_o shall_v proceed_v to_o show_v the_o manner_n of_o find_v the_o true_a conjunction_n or_o opposition_n of_o the_o sun_n and_o moon_n but_o there_o be_v no_o decimal_n canon_n yet_o extant_a suitable_a to_o the_o table_n of_o middle_a motion_n here_o exhibit_v i_o choose_v rather_o to_o refer_v my_o reader_n to_o mr._n street_n astronomia_fw-la carolina_n for_o instruction_n in_o that_o particular_a and_o what_o else_o shall_v be_v find_v want_v in_o this_o subject_n a_o introduction_n to_o geography_n or_o the_o four_o part_n of_o cosmography_n chap._n i._n of_o the_o nature_n and_o division_n of_o geography_n geography_n be_v a_o science_n concern_v the_o measure_n and_o distinction_n of_o the_o earthly_a globe_n as_o it_o be_v a_o spherical_a body_n compose_v of_o earth_n and_o water_n for_o that_o both_o these_o do_v together_o make_v but_o one_o globe_n 2._o and_o hence_o the_o part_n of_o geography_n be_v two_o the_o one_o concern_v the_o earthy_a part_n and_o the_o other_o the_o water_n 3._o the_o earthy_a part_n of_o this_o globe_n be_v common_o divide_v into_o continent_n and_o island_n 4._o a_o continent_n be_v a_o great_a quantity_n of_o land_n not_o separate_v by_o any_o sea_n from_o the_o rest_n of_o the_o world_n as_o the_o whole_a continent_n of_o europe_n asia_n and_o africa_n or_o the_o continent_n of_o france_n spain_n and_o germany_n 5._o a_o island_n be_v a_o part_n of_o earth_n environ_v round_o about_o with_o some_o sea_n or_o other_o as_o the_o isle_n of_o britain_n with_o the_o ocean_n the_o isle_n of_o sicily_n with_o the_o mediterranean_a and_o therefore_o in_o latin_a it_n be_v call_v insula_n because_o it_o be_v situate_a in_o salo_n in_o the_o sea_n 6._o both_o these_o be_v subdivide_v into_o peninsula_n isthmus_n promontorium_n 7._o peninsula_n quasi_fw-la pene_fw-la insula_fw-la be_v a_o tract_n of_o land_n which_o be_v almost_o encompass_v round_o by_o water_n be_v join_v to_o the_o main_a land_n by_o some_o little_a part_n of_o earth_n 8._o isthmus_n be_v that_o narrow_a neck_n of_o land_n which_o join_v the_o peninsula_n to_o the_o continent_n 9_o promontorium_n be_v a_o high_a mountain_n which_o shoot_v itself_o into_o the_o sea_n the_o outmost_a end_n whereof_o be_v call_v a_o cape_n or_o foreland_n as_o the_o cape_n of_o good_a hope_n in_o africa_n 10._o the_o
earth_n contain_v between_o three_o parallel_n the_o middlemoâ—_n whereof_o divide_v it_o into_o two_o equal_a part_n serve_v for_o the_o set_n out_o the_o length_n and_o shortness_n of_o the_o day_n in_o every_o country_n 10._o these_o climate_n and_o the_o parallel_n by_o which_o they_o be_v contain_v be_v none_o of_o they_o of_o equal_a quantity_n for_o the_o first_o clime_n as_o also_o the_o parallel_n beginning_n at_o the_o aequator_fw-la be_v large_a than_o the_o second_o and_o the_o second_o be_v likewise_o great_a than_o the_o three_o 11._o the_o ancient_n reckon_v but_o seven_o climate_n at_o the_o first_o to_o which_o number_n there_o be_v afterward_o add_v two_o more_o so_o that_o in_o the_o first_o of_o these_o number_n be_v comprehend_v fourteen_o parallel_n but_o in_o the_o latter_a eighteen_o 12._o ptolemy_n account_v the_o parallel_n 38_o each_o way_n from_o the_o equator_fw-la that_o be_v 38_o towards_o the_o north_n and_o as_o many_o towards_o the_o south_n 24_o of_o which_o he_o reckon_v by_o the_o difference_n of_o one_o quarter_n of_o a_o hour_n 4_o by_o the_o difference_n of_o half_a a_o hour_n 4_o by_o a_o whole_a hour_n difference_n and_o 6_o by_o a_o month_n difference_n but_o now_o the_o parallel_n be_v reckon_v by_o the_o difference_n of_o a_o quarter_n of_o a_o hour_n the_o climate_n be_v 24_o in_o number_n till_o you_o come_v to_o the_o latitude_n of_o 66_o degree_n 31_o minute_n to_o which_o be_v afterward_o add_v 6_o climate_n more_o unto_o the_o pole_n itself_o where_o the_o artificial_a day_n be_v 6_o month_n in_o length_n 13._o the_o distance_n of_o all_o both_o climate_n and_o parallel_n together_o with_o their_o latitude_n from_o the_o aequator_fw-la and_o difference_n of_o the_o quantity_n of_o the_o long_a day_n be_v here_o full_o express_v in_o the_o table_n follow_v a_o table_n of_o the_o climate_n belong_v to_o the_o three_o sort_n of_o inhabitant_n inhabitant_n belong_v to_o the_o several_a clime_n clime_n parallel_n length_n of_o the_o day_n poles_n elevation_n beaumont_n of_o the_o clime_n  _fw-fr  _fw-fr 0_o 12.0_o 0.0_o  _fw-fr  _fw-fr 0_o  _fw-fr  _fw-fr  _fw-fr 4.18_o  _fw-fr  _fw-fr 1_o 12.15_o 4.18_o  _fw-fr  _fw-fr  _fw-fr 2_o 12.30_o 8.34_o  _fw-fr  _fw-fr 1_o  _fw-fr  _fw-fr  _fw-fr 8.25_o amphiscii_n  _fw-fr 3_o 12.45_o 12.43_o  _fw-fr  _fw-fr  _fw-fr 4_o 13.0_o 16.43_o  _fw-fr  _fw-fr 2_o  _fw-fr  _fw-fr  _fw-fr 7.50_o  _fw-fr  _fw-fr 5_o 13.15_o 20.33_o  _fw-fr  _fw-fr  _fw-fr 6_o 13.30_o 23.10_o  _fw-fr  _fw-fr 3_o  _fw-fr  _fw-fr  _fw-fr 7.3_o  _fw-fr  _fw-fr 7_o 13.45_o 27.36_o  _fw-fr  _fw-fr  _fw-fr 8_o 14.0_o 30.47_o  _fw-fr  _fw-fr 4_o  _fw-fr  _fw-fr  _fw-fr 6.9_o  _fw-fr  _fw-fr 9_o 14.15_o 33.45_o  _fw-fr  _fw-fr  _fw-fr 10_o 14.30_o 36.30_o  _fw-fr  _fw-fr 5_o  _fw-fr  _fw-fr  _fw-fr 5.17_o  _fw-fr  _fw-fr 11_o 14.45_o 39.02_o  _fw-fr  _fw-fr  _fw-fr 12_o 15.0_o 41.22_o  _fw-fr  _fw-fr 6_o  _fw-fr  _fw-fr  _fw-fr 4.30_o  _fw-fr  _fw-fr 13_o 15.15_o 43.32_o  _fw-fr  _fw-fr  _fw-fr 14_o 15.30_o 45.29_o  _fw-fr  _fw-fr 7_o  _fw-fr  _fw-fr  _fw-fr 3.48_o  _fw-fr  _fw-fr 15_o 15.45_o 47.20_o  _fw-fr  _fw-fr  _fw-fr 16_o 16.0_o 49.21_o  _fw-fr  _fw-fr 8_o  _fw-fr  _fw-fr  _fw-fr 3.13_o  _fw-fr  _fw-fr 17_o 16.15_o 50.13_o  _fw-fr  _fw-fr  _fw-fr 18_o 16.30_o 51.58_o  _fw-fr  _fw-fr 9_o  _fw-fr  _fw-fr  _fw-fr 2.44_o  _fw-fr  _fw-fr 19_o 15.45_o 53.17_o  _fw-fr  _fw-fr clime_n parallel_n length_n of_o the_o day_n pole_n elevation_n breadth_n of_o the_o clime_n  _fw-fr  _fw-fr 20_o 17.00_o 54.29_o  _fw-fr  _fw-fr 10_o  _fw-fr  _fw-fr  _fw-fr 2.17_o heteroscii_n  _fw-fr 21_o 17.15_o 55.34_o  _fw-fr  _fw-fr  _fw-fr 22_o 17.30_o 56.37_o  _fw-fr  _fw-fr 11_o  _fw-fr  _fw-fr  _fw-fr 2.0_o  _fw-fr  _fw-fr 23_o 17.45_o 57.34_o  _fw-fr  _fw-fr  _fw-fr 24_o 18.00_o 58.26_o  _fw-fr  _fw-fr 12_o  _fw-fr  _fw-fr  _fw-fr 1.40_o  _fw-fr  _fw-fr 25_o 18.15_o 59.14_o  _fw-fr  _fw-fr  _fw-fr 26_o 18.30_o 59.59_o  _fw-fr  _fw-fr 13_o  _fw-fr  _fw-fr  _fw-fr 1.26_o  _fw-fr  _fw-fr 27_o 18.45_o 60.40_o  _fw-fr  _fw-fr  _fw-fr 28_o 19.00_o 61.18_o  _fw-fr  _fw-fr 14_o  _fw-fr  _fw-fr  _fw-fr 1.13_o  _fw-fr  _fw-fr 29_o 19.15_o 61.53_o  _fw-fr  _fw-fr  _fw-fr 30_o 19.30_o 62.25_o  _fw-fr  _fw-fr 15_o  _fw-fr  _fw-fr  _fw-fr 1.0_o  _fw-fr  _fw-fr 31_o 19.45_o 62.54_o  _fw-fr  _fw-fr  _fw-fr 32_o 20.00_o 63.22_o  _fw-fr  _fw-fr 16_o  _fw-fr  _fw-fr  _fw-fr 0.52_o  _fw-fr  _fw-fr 33_o 20.15_o 63.46_o  _fw-fr  _fw-fr  _fw-fr 34_o 20.30_o 64.06_o  _fw-fr  _fw-fr 17_o  _fw-fr  _fw-fr  _fw-fr 0.44_o  _fw-fr  _fw-fr 35_o 20.45_o 64.30_o  _fw-fr  _fw-fr  _fw-fr 36_o 21.00_o 64.49_o  _fw-fr  _fw-fr 18_o  _fw-fr  _fw-fr  _fw-fr 0.36_o  _fw-fr  _fw-fr 37_o 21.15_o 65.06_o  _fw-fr  _fw-fr  _fw-fr 38_o 21.30_o 65.21_o  _fw-fr  _fw-fr 19_o  _fw-fr  _fw-fr  _fw-fr 0.29_o  _fw-fr  _fw-fr 39_o 21.45_o 65.35_o  _fw-fr  _fw-fr  _fw-fr 40_o 22.00_o 65.47_o  _fw-fr  _fw-fr 20_o  _fw-fr  _fw-fr  _fw-fr 0.22_o  _fw-fr  _fw-fr 41_o 22.15_o 65.57_o  _fw-fr  _fw-fr  _fw-fr 42_o 22.30_o 66.00_o  _fw-fr  _fw-fr 21_o  _fw-fr  _fw-fr  _fw-fr 0.17_o  _fw-fr  _fw-fr 43_o 22.45_o 66.14_o  _fw-fr clime_n parallel_n length_n of_o the_o day_n poles_n elevation_n breadth_n of_o the_o clime_n  _fw-fr  _fw-fr 44_o 23.00_o 66.20_o  _fw-fr  _fw-fr 22_o  _fw-fr  _fw-fr  _fw-fr 0.11_o  _fw-fr  _fw-fr 45_o 23.15_o 66.25_o  _fw-fr  _fw-fr  _fw-fr 46_o 23.30_o 66.28_o  _fw-fr  _fw-fr 23_o  _fw-fr  _fw-fr  _fw-fr 0.5_o  _fw-fr  _fw-fr 47_o 23.45_o 66.30_o  _fw-fr  _fw-fr 24_o 48_o 24.00_o 66.31_o 0.0_o periscii_n here_o the_o climate_n begin_v to_o be_v account_v by_o month_n from_o 66._o 31_o where_o the_o day_n be_v 24_o hour_n long_o unto_o the_o pole_n itself_o where_o it_o be_v 6_o month_n in_o length_n 1_o 67.15_o 2_o 69.30_o 3_o 73.20_o 4_o 78.20_o 5_o 84.0_o 6_o 90.0_o 14._o hitherto_o we_o have_v consider_v the_o inhabitant_n of_o the_o earth_n in_o respect_n of_o the_o several_a zone_n and_o clime_n into_o which_o the_o whole_a globe_n be_v divide_v there_o be_v yet_o another_o distinction_n behind_o into_o which_o the_o inhabitant_n of_o the_o earth_n be_v divide_v in_o respect_n of_o their_o site_n and_o position_n in_o reference_n to_o one_o another_o and_o thus_o the_o inhabitant_n of_o the_o earth_n be_v divide_v into_o the_o perioeci_n antoecâ—_n and_o antipode_n 15._o the_o perioeci_n be_v such_o as_o dwell_v in_o the_o same_o parallel_n on_o the_o same_o side_n of_o the_o aequator_fw-la how_o far_o distant_a soever_o they_o be_v east_n and_o west_n the_o season_n of_o the_o year_n and_o the_o length_n of_o the_o day_n be_v to_o both_o alike_o only_o the_o midnight_n of_o the_o one_o be_v the_o moon_n to_o the_o other_o 16._o the_o antoeci_n be_v such_o as_o dwell_v under_o the_o same_o meridian_n and_o in_o the_o same_o latitude_n or_o parallel_v distance_n from_o the_o aequator_fw-la the_o one_o northward_o and_o the_o other_o southward_o the_o day_n in_o both_o place_n be_v of_o the_o same_o length_n but_o differ_v in_o the_o season_n of_o the_o year_n for_o when_o it_o be_v summer_n in_o the_o one_o it_o be_v winter_n in_o the_o other_o 17._o the_o antipode_n be_v such_o as_o dwell_v foot_n to_o foot_n so_o as_o a_o right_a line_n draw_v from_o the_o one_o unto_o the_o other_o pass_v from_o north_n to_o south_n through_o the_o centre_n of_o the_o world_n these_o be_v distant_a 180_o degree_n or_o half_a the_o compass_n of_o the_o earth_n they_o differ_v in_o all_o thing_n as_o season_n of_o the_o year_n length_n of_o day_n rise_v and_o set_v of_o the_o sun_n and_o such_o like_a a_o matter_n reckon_v so_o ridiculous_a and_o impossible_a in_o former_a time_n that_o boniface_n archbishop_n of_o mentz_n see_v a_o treatise_n concern_v these_o antipode_n write_v by_o virgilius_n bishop_n of_o salisburg_n and_o not_o know_v what_o damnable_a doctrine_n may_v be_v couch_v under_o that_o strange_a name_n make_v complaint_n first_o to_o the_o duke_n of_o bohemia_n and_o after_o to_o pope_n zachary_n anno_fw-la 745_o by_o who_o the_o poor_a bishop_n unfortunate_a only_o in_o be_v learn_v in_o such_o a_o time_n of_o ignorance_n be_v condemn_v of_o heresy_n but_o god_n have_v blessed_v this_o latter_a age_n of_o the_o world_n with_o more_o understanding_n whereby_o we_o clear_o see_v those_o thing_n which_o either_o be_v unknown_a or_o but_o blind_o guess_v at_o by_o the_o ancient_n 18._o the_o second_o part_n of_o the_o terrestrial_a globe_n be_v the_o water_n which_o be_v common_o divide_v into_o these_o part_n or_o distinguish_v by_o these_o name_n oceanus_n mare_n fretum_n sinus_n lacus_n and_o flumen_n 19_o and_o first_o oceanus_n or_o the_o ocean_n be_v that_o general_a collection_n of_o all_o water_n which_o encompass_v the_o earth_n on_o every_o side_n 20._o mare_fw-la the_o sea_n be_v a_o part_n of_o the_o main_a ocean_n to_o which_o we_o can_v come_v but_o through_o some_o fretum_n or_o strait_n as_o mare_n
to_o reduce_v her_o place_n from_o she_o orbit_n to_o the_o ecliptic_a chap._n 19_o to_o find_v the_o mean_a conjunction_n and_o opposition_n of_o the_o sun_n and_o moon_n the_o four_o part_n or_o a_o introduction_n to_o geography_n chap._n 1._o of_o the_o nature_n and_o division_n of_o geography_n chap._n 2._o of_o the_o distinction_n or_o dimension_n of_o the_o earthly_a globe_n by_o zone_n and_o climate_n chap._n 3._o of_o europe_n chap._n 4._o of_o asia_n chap._n 5._o of_o africa_n chap._n 6._o of_o america_n chap._n 7._o of_o the_o description_n of_o the_o terrestrial_a globe_n by_o map_n universal_a and_o particular_a a_o table_n of_o the_o view_n of_o the_o most_o notable_a epochas_n the_o julian_n calendar_n page_n 461_o the_o gregorian_a calendar_n 466_o a_o table_n to_o convert_v sexagenary_a degree_n and_o minute_n into_o decimal_n and_o the_o contrary_n 476_o a_o table_n convert_v hour_n and_o minute_n into_o degree_n and_o minute_n of_o the_o aequator_fw-la 480_o a_o table_n of_o the_o longitude_n and_o latitude_n of_o some_o of_o the_o most_o eminent_a city_n and_o town_n in_o england_n and_o ireland_n 482_o a_o table_n of_o the_o sun_n mean_a longitude_n and_o anomaly_n in_o both_o egyptian_a and_o julian_n year_n month_n day_n hour_n and_o minute_n 484_o table_n of_o the_o moon_n mean_a motion_n 493_o a_o catalogue_n of_o some_o of_o the_o most_o notable_a fix_a star_n according_a to_o the_o observation_n of_o tycho_n brahe_n rectify_v to_o the_o year_n 1601._o 511_o book_n print_v for_o and_o sell_v by_o thomas_n passenger_n at_o the_o three_o bibles_n on_o the_o middle_n of_o london-bridge_n the_o element_n of_o the_o mathematical_a art_n common_o call_v algebra_n expound_v in_o four_o book_n by_o john_n kersey_n in_o two_o vol._n fol._n a_o mirror_n or_o looking-glass_n for_o saint_n and_o sinner_n show_v the_o justice_n of_o god_n on_o the_o one_o and_o his_o mercy_n towards_o the_o other_o set_v forth_o in_o some_o thousand_o of_o example_n by_o sam._n clark_n in_o two_o vol._n fol._n the_o mariner_n magazine_n by_o capt._n sam._n sturmy_n fol._n military_a and_o maritime_a discipline_n in_o three_o book_n by_o capt._n tho._n kent_n fol._n dr._n cudworth_n universal_a systeme_n the_o triumph_n of_o god_n revenge_n against_o the_o cry_v and_o execrable_a sin_n of_o wilful_a and_o premeditate_a murder_n by_o john_n reynolds_n fol._n royal_a and_o practical_a chemistry_n by_o oswaldus_n crollius_n and_o john_n hartman_n faithful_o render_v into_o english_a fol._n practical_a navigation_n by_o john_n seller_n quarto_fw-la the_o history_n of_o the_o church_n of_o great_a britain_n from_o the_o birth_n of_o our_o saviour_n until_o the_o year_n of_o our_o lord_n 1667._o quarto_fw-la the_o ecclesiastical_a history_n of_o france_n from_o the_o first_o plantation_n of_o christianity_n there_o unto_o this_o time_n quarto_fw-la the_o book_n of_o architecture_n by_o andrea_n palladio_n quarto_fw-la the_o mirror_n of_o architecture_n or_o the_o ground_n rule_v of_o the_o art_n of_o building_n by_o vincent_n scammozi_n quarto_fw-la trigonometry_n on_o the_o doctrine_n of_o triangle_n by_o rich._n norwood_n quarto_fw-la markham_n masterpiece_n revive_v contain_v all_o knowledge_n belong_v to_o the_o smith_n farrier_n or_o horse-leach_n touch_v the_o cure_n of_o all_o disease_n in_o horse_n quarto_fw-la collins_n sector_n on_o a_o quadrant_n quarto_fw-la the_o famous_a history_n of_o the_o destruction_n of_o troy_n in_o three_o book_n quarto_fw-la safeguard_v of_o sailor_n quarto_fw-la norwood_n seaman_n companion_n quarto_fw-la geometrical_a seaman_n quarto_fw-la a_o plain_a and_o familiar_a exposition_n of_o the_o ten_o commandment_n by_o john_n dod_n quarto_fw-la the_o mariner_n new_a calendar_n quarto_fw-la the_o seaman_n calendar_n quarto_fw-la the_o seaman_n practice_n quarto_fw-la the_o honour_n of_o chivalry_n do_v the_o famous_a and_o delectable_a history_n of_o don_n belianus_fw-la of_o greece_n quarto_fw-la the_o history_n of_o amadis_n de_fw-fr gaul_n the_o five_o part_n quarto_fw-la the_o seaman_n dictionary_n quarto_fw-la the_o complete_a cannonier_n quarto_fw-la seaman_n glass_n quarto_fw-la complete_a shipwright_n quarto_fw-la the_o history_n of_o valentine_n and_o orson_n quarto_fw-la the_o complete_a modellist_n quarto_fw-la the_o boat-swain_n art_n quarto_fw-la pilot_n sea-mirror_n quarto_fw-la the_o famous_a history_n of_o montelion_fw-mi knight_n of_o the_o oracle_n quarto_fw-la the_o history_n of_o palladine_n of_o england_n quarto_fw-la the_o history_n of_o cleocretron_n and_o cloriâ—ma_n quarto_fw-la the_o arralgnment_n of_o low_a idle_a froward_a and_o unconstant_a woman_n quarto_fw-la the_o pleasant_a history_n of_o jack_n of_o newbâ—â—y_n quarto_fw-la fillip_v mathematical_a manual_n octavo_n a_o prospect_n of_o heaven_n or_o a_o treatise_n of_o the_o happiness_n of_o the_o saint_n in_o glory_n oct_n etymologicunt_fw-la parvum_fw-la oct_n thesaurus_fw-la astrologiae_fw-la or_o a_o astrological_a treasury_n by_o john_n gadbury_n oct_n gellibrand_n '_o be_v epitome_n oct_n the_o english_a academy_n or_o a_o brief_a introduction_n to_o the_o seven_o liberal_a art_n by_o john_n newton_n d._n d._n oct_n the_o best_a exercise_n for_o christian_n in_o the_o worst_a time_n by_o i._o h._n oct_n a_o seasonable_a discourse_n of_o the_o right_a use_n and_o abuse_v of_o reason_n in_o matter_n of_o religion_n oct_n the_o mariner_n compass_n rectify_v oct_n norwood_n '_o s_o epitome_n oct_n chemical_a essay_n by_o john_n beguinus_n oct_n a_o spiritual_a antidote_n against_o sinful_a contagion_n by_o tho._n doolittle_n oct_n monastieon_n fevershamiense_n or_o a_o description_n of_o the_o abbey_n of_o feversham_n oct_n scarborough_n '_o s_o spa_n oct_n french_a schoolmaster_n oct_n the_o poem_n of_o ben._n johnson_n junior_a oct_n a_o book_n of_o knowledge_n in_o three_o part_n oct_v the_o book_n of_o palmistry_n oct_n farnaby_n '_o s_z epigramm_v oct_n the_o huswife_n companion_n and_o the_o husbandman_n guide_n oct_v jovial_a garland_n oct_n cocker_n '_o s_o arithmetic_n twelve_o the_o path_n way_n to_o health_n twelve_o hall_n '_o s_z soliloquy_n twelves_o the_o complete_a servant_n maid_n or_o the_o young_a maiden_n tutor_n twelve_o newton_n introduction_n to_o the_o art_n of_o logic_n twelve_o newton_n introduction_n to_o the_o art_n of_o rhetoric_n twelve_o the_o anatomy_n of_o popery_n or_o a_o catalogue_n of_o popish_a error_n in_o doctrine_n and_o corruption_n in_o worship_n twelve_o the_o famous_a history_n of_o the_o five_o wise_a philosopher_n contain_v the_o life_n of_o jehosophat_n the_o hermit_n twelves_o the_o exact_a constable_n with_o his_o original_a and_o power_n in_o all_o case_n belong_v to_o his_o office_n twelve_o the_o complete_a academy_n or_o a_o nursery_n of_o compliment_n twelves_o heart_n salve_n for_o a_o wound_a soul_n and_o eye_n salve_v for_o a_o blind_a world_n by_o tho._n calvert_n twelve_o pilgrim_n port_n or_o the_o weary_a man_n rest_n in_o the_o grave_a twelve_o christian_n devotion_n or_o a_o manual_a of_o prayer_n twelves_o the_o mariner_n divine_a mate_n twelve_o at_o cherry_n garden_n stair_n on_o rotherhith_n wall_n be_v teach_v these_o mathematical_a science_n viz._n arithmetic_n algebra_n geometry_n trigonometry_n survey_v navigation_n dyall_v astronomy_n gauge_v gunnery_n and_o fortification_n the_o use_n of_o the_o globe_n and_o other_o mathematical_a instrument_n the_o projection_n of_o the_o sphere_n on_o any_o circle_n etc._n etc._n he_o make_v and_o sell_v all_o sort_n of_o mathematical_a instrument_n in_o wood_n and_o brass_n for_o sea_n and_o land_n with_o book_n to_o show_v the_o use_n of_o they_o where_o you_o may_v have_v all_o sort_n of_o map_n plait_n sea-chart_n in_o plain_a and_o mercator_n on_o reasonable_a term_n by_o james_n atkinson_n finis_fw-la