the_o southeast_n &_o it_o be_v then_o 20_o minute_n before_z 9_o a_o clock_n in_o the_o morning_n but_o if_o the_o moon_n have_v 5_o degree_n south_n latitude_n than_o it_o be_v 18_o minute_n past_o 8_o if_o the_o moon_n have_v 5_o deg_fw-la north_n latitude_n than_o it_o be_v 51_o min._n past_o 8_o a_o clock_n sun_n in_o the_o equator_fw-la the_o sun_n at_o the_o southeast_n it_o be_v then_o 28_o min._n past_o 9_o a_o clock_n in_o the_o morning_n but_o if_o the_o moon_n have_v 5_o degree_n south_n latitude_n than_o it_o be_v 18_o min._n past_o 9_o if_o the_o moon_n have_v 5_o degr_n north_n latitude_n than_o it_o be_v 38_o min._n past_o 9_o a_o clock_n sun_n in_o cancer_n the_o sun_n at_o the_o southeast_n it_o be_v then_o 18_o min_fw-mi past_o 10_o a_o clock_n in_o the_o morning_n but_o if_o the_o moon_n have_v 5_o degree_n south_n latitude_n than_o it_o be_v 6_o minute_n past_a 10._o if_o the_o moon_n have_v 5_o degree_n north_n latitude_n than_o it_o be_v 30_o min._n past_o 10_o a_o clock_n but_o at_o a_o east_n sun_n it_o be_v then_o 22_o min._n past_o 7_o a_o clock_n in_o the_o morning_n but_o if_o the_o moon_n have_v 5_o degree_n south_n latitude_n than_o it_o be_v 2_o minute_n past_o 7._o if_o the_o moon_n have_v 5_o degree_n north_n latitude_n than_o it_o be_v 42_o minute_n past_o seven_o a_o clock_n likewise_o in_o this_o north_n latitude_n 51_o degree_n 32_o minute_n there_o be_v difference_n of_o time_n in_o the_o moon_n be_v southeast_n 2_o hour_n 2_o minute_n and_o in_o this_o same_o latitude_n difference_n in_o the_o east_n from_o 6_o a_o clock_n 1_o hour_n 42_o minute_n the_o mistake_n of_o so_o much_o time_n from_o the_o high_a water_n may_v overthrow_v their_o charge_n in_o go_v into_o a_o harbour_n where_o it_o be_v to_o be_v respect_v 2_o and_o whereas_o they_o deliver_v in_o their_o tide_n table_n a_o hoy_n of_o the_o tide_n in_o conjunction_n aspect_n or_o opposition_n to_o 48_o m._n after_o the_o order_n in_o that_o tide_n table_n it_o be_v not_o so_o but_o in_o a_o river_n or_o in-draft_n where_o the_o tide_n in_o their_o prime_n run_v quick_a there_o tide_n of_o flood_n will_v run_v 48_o minute_n after_o high_a water_n and_o thus_o i_o will_v leave_v the_o delate_n of_o the_o tide_n concern_v the_o time_n such_o be_v the_o conceit_n or_o knowledge_n of_o the_o seaman_n in_o these_o time_n they_o take_v a_o common_a compass_n little_o respect_v the_o error_n thereof_o be_v touch_v with_o a_o stone_n of_o no_o strength_n and_o make_v wise_a by_o a_o man_n of_o no_o knowledge_n which_o compass_n they_o divide_v into_o 24_o hour_n to_o deliver_v unto_o they_o they_o observe_v the_o sun_n therewith_o the_o time_n they_o look_v for_o which_o be_v as_o lame_a a_o delivery_n of_o the_o time_n as_o may_v be_v and_o be_v somewhat_o touch_v before_o in_o the_o delivery_n of_o the_o tide_n and_o likewise_o as_o hereafter_o follow_v also_o they_o observe_v the_o time_n by_o a_o hour_n or_o half_a hour_n glass_n make_v by_o as_o careful_a a_o man_n as_o the_o compass_n before_o speak_v off_o who_o indeed_o care_v but_o little_o what_o error_n more_o or_o less_o be_v deliver_v in_o those_o glass_n in_o 24_o hour_n nay_o in_o half_a a_o hour_n with_o who_o as_o the_o proverb_n be_v a_o inch_n break_v no_o square_a which_o compass_n and_o glass_n have_v need_n to_o be_v careful_o respect_v nay_o rather_o to_o be_v reform_v for_o the_o security_n as_o aforesaid_a of_o the_o navy_n of_o england_n which_o be_v great_o endanger_v by_o they_o and_o although_o these_o appendance_n for_o navigation_n be_v mere_a false_a yet_o the_o marketfolk_n be_v not_o experience_v by_o they_o in_o consideration_n of_o the_o cheapenesse_n of_o they_o hold_v themselves_o thereby_o profitable_a servant_n to_o the_o owner_n and_o although_o the_o time_n general_o from_o one_o moon_n to_o the_o other_o can_v be_v perfect_o deliver_v by_o any_o man_n as_o hereafter_o shall_v be_v show_v yet_o by_o precise_a instrument_n careful_o make_v the_o time_n may_v be_v deliver_v more_o true_o which_o be_v the_o great_a help_n we_o have_v in_o longitude_n and_o for_o a_o man_n most_o careful_a in_o make_v of_o his_o compase_n and_o run_v glass_n i_o commend_v master_n emerie_n mollineux_n of_o lambeth_n while_o he_o live_v as_o for_o my_o conceit_n which_o i_o have_v learn_v concern_v the_o time_n it_o be_v as_o hereafter_o follow_v first_o for_o the_o confute_v of_o the_o time_n deliver_v by_o the_o compass_n as_o aforesaid_a which_o compass_n be_v deliver_v by_o 360_o degree_n which_o indeed_o be_v azimuth_n and_o they_o justify_v as_o many_o azimuth_n which_o be_v 15_o for_o one_o hour_n as_o for_o another_o which_o be_v contrary_a therefore_o i_o will_v deliver_v three_o example_n to_o that_o effect_n in_o the_o latitude_n 51_o degree_n 32_o minute_n as_o follow_v sun_n in_o capricornus_fw-la from_o the_o sun_n rise_v to_o one_o hour_n of_o time_n there_o be_v 12_o azimuth_n and_o a_o ¼_n and_o from_o a_o 11_o a_o clock_n to_o 12_o at_o noon_n there_o be_v 14_o azimuth_n sun_n in_o the_o equator_fw-la from_o the_o sun_n rise_v to_o one_o hour_n of_o time_n there_o be_v 12_o azimuthe_n and_o from_o a_o 11_o a_o clock_n to_z 12_o at_o noon_n there_o be_v 18_o azimuth_n and_o ¾_n sun_n in_o cancer_n from_o the_o sun_n rise_v to_o one_o hour_n of_o time_n there_o be_v a_o 11_o azimuth_n and_o ⅓_n and_o from_o a_o 11_o a_o clock_n to_o 12_o at_o noon_n there_o be_v 28_o azimuth_n also_o follow_v two_o example_n the_o one_o in_o the_o north_n latitude_n 51_o degree_n 32_o minute_n the_o other_o in_o the_o north_n latitude_n 66_o degree_n concern_v the_o difference_n of_o time_n as_o follow_v the_o 1_o example_n in_o latitude_n 51_o degr_n 32_o min._n aries_n whole_a sign_n have_v declination_n a_o 11_o degree_n 20_o min._n which_o reach_v in_o longitude_n eastward_o according_a to_o the_o degree_n on_o the_o equator_fw-la to_o the_o 28_o meridian_n likewise_o this_o whole_a sign_n of_o aries_n do_v lengthen_v the_o day_n 1_o hour_n and_o 58_o min._n taurus_n his_o whole_a sign_n have_v declination_n 8_o degree_n 50_o min._n which_o reach_v in_o longitude_n eastward_o according_a to_o the_o degree_n on_o the_o equator_fw-la to_o the_o 29_o and_o a_o half_a meridian_n also_o this_o whole_a sign_n of_o taurus_n do_v length_n the_o day_n one_o hour_n and_o 44_o minute_n gemini_fw-la his_o whole_a sign_n have_v declination_n 3_o degr_n 18_o min._n which_o reach_v in_o longitude_n eastward_o according_a to_o the_o degree_n on_o the_o equator_fw-la to_o the_o 32_o and_o a_o half_a meridian_n also_o this_o whole_a sign_n of_o gemini_fw-la do_v length_n the_o day_n 1_o hour_n 40_o minute_n the_o 2_o example_n in_o north_n latitude_n 66_o degr_n aries_n whole_a sign_n lengthen_v the_o day_n 3_o hour_n and_o 46_o min._n taurus_n whole_a sign_n lengthen_v the_o day_n 3_o hour_n and_o 38_o min._n gemini_fw-la his_o whole_a sign_n lengthen_v the_o day_n 3_o hour_n and_o 0_o min._n but_o see_v that_o general_a time_n from_o one_o noon_n to_o a_o other_o can_v be_v deliver_v certain_a but_o there_o shall_v be_v error_n so_o that_o one_o 24_o hour_n shall_v be_v long_o or_o short_a than_o a_o other_o by_o 1_o hour_n and_o 28_o min._n as_o hereafter_o shall_v be_v deliver_v what_o certain_a time_n then_o can_v be_v deliver_v by_o any_o instrument_n for_o that_o purpose_n which_o deliver_v but_o a_o second_o error_n now_o will_v i_o deliver_v some_o cause_n why_o the_o time_n from_o one_o noon_n to_o another_o can_v be_v of_o like_a time_n mesline_n in_o his_o astronomy_n deliver_v that_o there_o be_v three_o eclipticke_n as_o follow_v first_o the_o ecliptic_n of_o the_o 10_o sphere_n which_o be_v fix_v second_o the_o ecliptic_n of_o the_o 9_o sphere_n which_o be_v mooveable_a three_o the_o ecliptic_a of_o the_o 8_o sphere_n which_o be_v the_o true_a ecliptic_n of_o the_o starry_a firmament_n likewise_o he_o deliver_v that_o the_o sun_n in_o aries_n of_o the_o 9_o sphere_n be_v go_v to_o the_o eastward_o of_o the_o sun_n in_o aries_n of_o the_o 10_o sphere_n 27_o degree_n and_o better_a but_o direct_o under_o it_o in_o the_o same_o plain_a also_o that_o the_o sun_n in_o aries_n of_o the_o 8_o sphere_n never_o be_v near_a to_o the_o sun_n in_o aries_n of_o the_o 9_o sphere_n then_o by_o the_o semidiamiter_n of_o the_o small_a circle_n which_o be_v 9_o degree_n now_o mesline_n deliver_v the_o difference_n of_o the_o judgement_n of_o the_o astronomer_n and_o that_o ptolemy_n make_v the_o 8_o and_o 9_o sphere_n all_o one_o deliver_v the_o opinion_n of_o prolomy_n and_o other_o as_o follow_v the_o opinion_n of_o prolomie_n concern_v the_o motion_n of_o
the_o horizontall_a distance_n westward_o from_o the_o south_n to_o be_v 66_o deg_fw-la 53_o min._n so_o that_o i_o find_v this_o last_o observation_n to_o be_v far_o from_o the_o true_a meridian_n than_o the_o former_a by_o 15_o min._n but_o if_o the_o declination_n be_v decrease_v than_o the_o last_o observation_n will_v be_v near_o the_o true_a meridian_n than_o the_o former_a by_o 15_o minute_n which_o make_v a_o difference_n of_o variation_n sometime_o too_o much_o or_o sometime_o too_o little_a by_o 15_o minute_n good_a which_o be_v a_o error_n and_o therefore_o not_o the_o truth_n concern_v the_o tide_n even_o as_o man_n mind_n for_o the_o most_o part_n be_v settle_v in_o the_o absurdity_n of_o the_o card_n and_o compass_v according_o so_o be_v they_o settle_v likewise_o in_o a_o absurd_a reckon_n of_o their_o tide_n as_o hereafter_o by_o the_o grace_n of_o god_n shall_v appear_v divide_v into_o two_o part_n first_o by_o the_o delivery_n of_o the_o cpact_n next_o according_a to_o the_o time_n observe_v by_o the_o point_n of_o the_o compass_n as_o follw_v the_o first_o part_n these_o man_n do_v not_o only_o know_v the_o prime_n by_o the_o date_n of_o our_o lord_n and_o the_o epact_n by_o the_o prime_n and_o the_o day_n of_o conjunction_n by_o the_o epact_n which_o be_v tolerable_a according_a to_o the_o order_n of_o the_o epact_n allow_v 30_o day_n to_o every_o moon_n or_o on_o the_o 30_o day_n end_n to_o be_v conjunction_n which_o be_v notwithstanding_o partly_o at_o random_n be_v without_o respect_n of_o the_o precise_a time_n of_o the_o conjunction_n but_o they_o justify_v also_o the_o departure_n of_o sun_n and_o moon_n in_o 24_o hour_n to_o be_v continual_o 48_o min._n as_o though_o the_o motion_n of_o the_o sun_n and_o moon_n continue_v all_o one_o or_o that_o 48_o minute_n be_v their_o mean_a departure_n for_o they_o bring_v the_o 32_o point_n every_o point_n be_v a_o 11_o degr_n and_o 〈◊〉_d a_o sunder_o the_o whole_a be_v 260_o degr_n to_o 30_o whole_a day_n allow_v to_o every_o 24_o hour_n the_o departure_n to_o be_v as_o aforesaid_a 48_o min._n for_o 30_o time_n 48_o minute_n be_v 24_o hour_n and_o 4_o minute_n of_o time_n be_v answerable_a to_o one_o degree_n of_o the_o equator_fw-la therefore_o the_o departure_n be_v 12_o degree_n in_o 24_o hour_n allow_v the_o just_a revolution_n of_o the_o equator_fw-la to_o be_v in_o 24_o hour_n neither_o more_o nor_o less_o for_o 30_o time_n 12_o degree_n be_v 360_o degree_n in_o which_o their_o reckon_n in_o my_o conceit_n the_o course_n of_o the_o sun_n in_o those_o 30_o day_n which_o be_v about_o 29_o degree_n 30_o min._n be_v forget_v or_o not_o respect_v but_o either_o they_o must_v of_o necessity_n grant_v that_o the_o revolution_n of_o the_o equator_fw-la and_o the_o departure_n of_o the_o sun_n and_o moon_n to_o be_v as_o hereafter_o shall_v be_v deliver_v or_o else_o they_o must_v allow_v the_o moon_n error_n in_o her_o yearly_a course_n to_o be_v 5_o day_n 15_o hour_n 2_o minute_n too_o much_o which_o be_v a_o absurdity_n and_o make_v the_o sinodicall_a error_n more_o than_o it_o shall_v be_v by_o 11_o hour_n 15_o minute_n 56_o sec_fw-la 49_o three_o but_o if_o they_o do_v acknowledge_v which_o i_o take_v it_o be_v in_o few_o or_o none_o of_o their_o head_n that_o the_o whole_a revolution_n of_o the_o equator_fw-la be_v turn_v about_o in_o 24_o hour_n as_o hereafter_o wall_n be_v deliver_v and_o so_o do_v reckon_v the_o odd_a time_n to_o be_v for_o the_o mean_a course_n of_o the_o sun_n in_o the_o 30_o day_n yet_o they_o must_v acknowledge_v by_o that_o reckon_n that_o the_o conjunction_n of_o the_o sun_n and_o moon_n must_v happen_v almost_o at_o like_a time_n of_o every_o year_n or_o at_o leastwise_o make_v the_o difference_n soon_o of_o the_o yearly_a period_n of_o the_o conjunction_n to_o be_v but_o 5_o day_n 6_o hour_n 9_o minute_n which_o indeed_o shall_v be_v 10_o day_n 21_o hour_n 11_o minute_n as_o hereafter_o shall_v be_v deliver_v the_o 2_o part_n 1_o also_o these_o man_n i_o justify_v in_o reckon_v their_o tide_n in_o what_o place_n and_o time_n soever_o that_o where_o it_o flow_v a_o southeast_n moon_n in_o conjunction_n or_o opposition_n and_o possible_a by_o a_o false_a compass_n than_o it_o flow_v till_o 9_o a_o clock_n or_o where_o it_o flow_v a_o east_n moon_n in_o conjunction_n or_o opposition_n than_o it_o flow_v 6_o a_o clock_n &_o so_o it_o be_v their_o judgement_n general_o of_o all_o the_o rest_n of_o the_o point_n of_o the_o compass_n 2._o and_o to_o justify_v my_o say_n to_o be_v true_a they_o have_v set_v forth_o print_a tide_n table_n thereof_o and_o in_o those_o table_n also_o have_v set_v their_o judgement_n that_o in_o conjunction_n or_o opposition_n it_o flow_v 48_o min._n after_o the_o time_n upon_o any_o point_n as_o aforesaid_a which_o be_v absurd_a therefore_o these_o their_o judgement_n for_o the_o security_n of_o their_o charge_n have_v as_o much_o need_n of_o refine_n as_o the_o east_n and_o west_n of_o the_o compass_n as_o be_v say_v before_o to_o lead_v in_o parallel_n now_o to_o the_o matter_n for_o the_o refine_n of_o the_o first_o part_n as_o aforesaid_a let_v this_o first_o part_n follow_v suffice_v to_o know_v the_o time_n of_o the_o conjunction_n otherwise_o then_o by_o the_o epact_n be_v deliver_v by_o ephemerides_n or_o almanac_n but_o rather_o know_v by_o that_o man_n that_o have_v the_o knowledge_n himself_o in_o the_o theoricke_n of_o the_o sun_n and_o moon_n which_o knowledge_n ought_v to_o be_v in_o a_o man_n that_o will_v be_v artificial_a to_o refine_v these_o absurdity_n in_o meslâ—nes_n astronomy_n the_o metion_n of_o the_o sun_n and_o moon_n be_v distinguish_v into_o three_o part_n slow_a swift_a and_o mean_a that_o be_v to_o say_v in_o apogaeum_n slow_a when_o they_o be_v far_a from_o the_o earth_n in_o perigeun_n swift_a when_o they_o be_v near_a the_o earth_n and_o in_o their_o means_n between_o the_o apogaeum_n and_o perigenm_fw-la notwithstanding_o by_o these_o three_o motion_n there_o be_v knowledge_n understand_v that_o the_o motion_n of_o the_o sun_n and_o moon_n be_v always_o different_a that_o be_v to_o say_v the_o sun_n from_o this_o place_n in_o apogeum_n to_o his_o perigeum_n likewise_o the_o moon_n from_o her_o apogeum_n and_o perigeum_n of_o her_o epicicle_n &_o from_o her_o apogeum_n in_o she_o almost_o a_o oval_a form_n of_o the_o centre_n of_o her_o epicicle_n to_o her_o perigeum_n thereof_o be_v the_o like_a quality_v to_o justify_v the_o motion_n to_o be_v the_o true_a it_o be_v also_o deliver_v in_o this_o astrovomy_n that_o the_o sun_n have_v three_o orb_n or_o particular_a sphere_n as_o follow_v first_o a_o excentricke_a which_o be_v call_v the_o difference_n of_o the_o body_n of_o the_o sun_n second_o be_v call_v the_o difference_n of_o the_o apogeum_n of_o the_o eccentric_a the_o which_o 2_o do_v contain_v the_o eccentric_a between_o they_o and_o 3._o make_v the_o whole_a sphéere_n of_o the_o sun_n to_o be_v concentric_a i_o can_v delate_v more_o of_o this_o theoric_n than_o i_o purpose_v but_o it_o will_v be_v to_o small_a effect_n concern_v the_o tide_n only_o respect_v this_o that_o follow_v three_o reason_n to_o be_v deliver_v for_o this_o hypothesis_n as_o aforesaid_a to_o be_v true_a 1_o first_o reason_n which_o cause_v the_o sun_n to_o be_v in_o a_o excentricke_a be_v the_o difference_n of_o the_o sun_n motion_n which_o be_v prove_v sometime_o swift_a sometime_o slow_a as_o aforesaid_a 2_o second_o reason_n be_v because_o the_o diameter_n of_o the_o sun_n be_v prove_v sometime_o big_a as_o in_o perigeum_n 33_o min._n 44_o sec_fw-la then_o at_o some_o other_o time_n by_o 2_o minute_n 6_o second_o therefore_o near_o at_o sometime_o then_o at_o other_o time_n 3_o the_o three_o reason_n be_v the_o inequality_n of_o the_o epicicle_n because_o it_o be_v prove_v that_o the_o sun_n far_o from_o the_o earth_n cause_v the_o eclipse_n to_o be_v long_o and_o near_o the_o earth_n to_o be_v soon_o mesline_n deliver_v also_o in_o his_o astronomy_n that_o the_o great_a excentricity_n of_o the_o sun_n be_v 48_o semidiamiter_n of_o the_o earth_n and_o the_o least_o excentricity_n which_o be_v near_o in_o this_o our_o age_n about_o the_o 9_o degree_n of_o cancer_n be_v 37_o semidiamiter_n of_o the_o earth_n so_o the_o difference_n be_v a_o 11_o semidiamiter_n of_o the_o earth_n and_o the_o semediamiter_n of_o the_o earth_n be_v 3436_o mile_n and_o 〈◊〉_d so_o that_o the_o sun_n be_v near_a unto_o we_o at_o some_o time_n then_o at_o some_o other_o time_n by_o 74_o semediamiter_n of_o the_o earth_n mesline_n deliver_v likewise_o one_o yearly_a period_n of_o the_o sun_n to_o have_v 365_o day_n 6_o hour_n 9_o min._n 39_o sec_fw-la and_o
this_o year_n he_o call_v sideriall_a or_o starry_a the_o diurnal_a mean_a motion_n of_o the_o sun_n according_o to_o be_v 59_o min._n 8_o sec_fw-la 11_o three_o 22_o fourth_n 16_o fifth_n the_o motion_n of_o the_o sun_n as_o follow_v her_o swift_a motion_n in_o 24_o hour_n be_v 1_o deg_fw-la 1_o min._n 16_o second_v her_o mean_a motion_n in_o 24_o hour_n be_v 0_o 59_o 8_o her_o slow_a motion_n in_o 24_o hour_n be_v 0_o 57_o 0_o mesline_n deliver_v likewise_o in_o his_o astronomy_n that_o the_o moon_n have_v five_o orb_n or_o particular_a sphere_n as_o follow_v 1_o first_o a_o excentricity_n 2_o second_o the_o difference_n of_o the_o epicicle_n centre_n 3_o third_z the_o difference_n of_o the_o excentricity_n in_o apogeum_n and_o perigeum_n 4_o four_o be_v the_o epicicle_n which_o carry_v the_o body_n of_o luna_n 5_o fifth_z which_o be_v concentric_a call_v aequans_fw-la luna_fw-la four_o reason_n follow_v to_o prove_v this_o hypothesis_n to_o be_v true_a 1_o first_o reason_n which_o cause_v the_o moon_n to_o be_v in_o a_o eccentric_a be_v the_o difference_n of_o the_o moon_n motion_n which_o be_v prove_v sometime_o swift_a sometime_o slow_a 2_o second_o reason_n be_v because_o the_o diameter_n of_o the_o moon_n be_v prove_v sometime_o big_a as_o in_o perigeum_n 35_o miu_o 38_o second_n then_o at_o some_o other_o time_n by_o 5_o min._n 38_o sec_fw-la therefore_o near_o at_o some_o time_n then_o at_o other_o time_n 3_o three_o the_o inequality_n of_o the_o eclipse_n because_o the_o moon_n far_o from_o the_o earth_n cause_v the_o eclipse_n to_o be_v long_o and_o near_o the_o earth_n to_o be_v soon_o 4_o four_o the_o inequality_n of_o the_o paralax_n because_o the_o moon_n sarth_o from_o the_o earth_n cause_v the_o horizontali_fw-la paralax_n to_o be_v the_o less_o and_o near_a to_o be_v more_o and_o the_o great_a excentricity_n of_o the_o moon_n be_v 10_o semidiamiter_n of_o the_o earth_n and_o 〈◊〉_d a_o little_a less_o and_o the_o semidiamiter_n of_o the_o epicicle_n be_v 5_o semidiamiter_n of_o the_o earth_n and_o 〈◊〉_d so_o that_o the_o moon_n be_v near_a unto_o we_o at_o sometime_o then_o at_o some_o other_o time_n by_o 30_o semidiamiter_n of_o the_o earth_n and_o 〈◊〉_d and_o likewise_o by_o the_o whole_a diameter_n of_o the_o circulus_fw-la parvus_fw-la which_o be_v 20_o semidiamiter_n and_o 〈◊〉_d for_o the_o moon_n make_v a_o circulus_fw-la parvus_fw-la contrary_a to_o her_o own_o motion_n about_o the_o centre_n of_o the_o world_n according_a to_o the_o semidiamiter_n of_o the_o eccentric_a which_o be_v 10_o semidiamiter_n and_o 8_o min._n 30_o second_n likewise_o the_o moon_n have_v latitude_n of_o the_o ecliptic_a on_o either_o side_n 5_o degree_n which_o for_o the_o tide_n be_v great_o to_o be_v respect_v mesline_n deliver_v one_o mean_a periodicall_a period_n of_o the_o moon_n to_o have_v 27_o day_n 7_o hour_n 24_o minute_n also_o deliver_v the_o mean_a time_n to_o make_v up_o the_o periodicall_a period_n to_o a_o mean_a sinodicall_a period_n to_o have_v day_n 2_o day_n 5_o hour_n 20_o minute_n so_o that_o the_o mean_v sinodicall_a month_n of_o the_o moon_n to_o be_v in_o conjunction_n again_o with_o the_o sun_n have_v day_n 29_o day_n 12_o hour_n 44_o minute_n 3_o sec_fw-la 11_o three_o the_o motion_n of_o the_o moon_n as_o follow_v the_o swift_a motion_n of_o the_o moon_n sometime_o in_o 24_o hour_n be_v 15_o degree_n 0_o min._n the_o mean_a motion_n in_o 24_o hour_n be_v 13_o degree_n 30_o minute_n and_o her_o slow_a motion_n in_o 24_o hour_n be_v 12_o degree_n 0_o minute_n now_o have_v deliver_v so_o much_o as_o need_v of_o the_o theorick_n of_o the_o sun_n and_o moon_n concern_v the_o tide_n we_o be_v come_v to_o the_o point_n to_o know_v their_o departure_n which_o be_v as_o follow_v the_o departure_n of_o the_o sun_n and_o moon_n the_o moon_n present_o after_o the_o conjunction_n depart_v eastward_o from_o the_o sun_n in_o apogeum_n in_o 24_o hour_n 11_o deg_fw-la 3_o min._n which_o be_v answerable_a in_o min._n to_o 44_o min._n 12_o second_n the_o moon_n present_o after_o the_o conjunction_n depart_v from_o the_o sun_n in_o perigeum_n in_o 24_o hour_n 13_o degree_n 58_o minute_n 44_o second_n answerable_a in_o minute_n to_o 55_o min._n 55_o second_n the_o moon_n present_o after_o the_o conjunction_n depart_v from_o the_o sun_n in_o mean_a motion_n in_o 24_o hour_n 12_o degree_n 30_o min._n 52_o second_n answerable_a in_o min._n to_o 50_o min._n 3_o seconds_z 〈◊〉_d sometime_o the_o departure_n of_o the_o sun_n and_o moon_n when_o the_o sun_n be_v in_o her_o slow_a motion_n and_o the_o moon_n in_o her_o swift_a motion_n in_o 24_o hour_n be_v 14_o degree_n 3_o minute_n which_o make_v the_o departure_n in_o minute_n answerable_a to_o be_v 56_o min._n 12_o second_n and_o sometime_o the_o departure_n of_o the_o sun_n and_o moon_n when_o the_o sun_n be_v in_o his_o swift_a motion_n and_o the_o moon_n in_o her_o slow_a motion_n in_o 24_o hour_n be_v but_o 10_o degree_n 58_o min._n 44_o second_n which_o make_v the_o departure_n in_o min._n answerable_a to_o be_v 43_o min._n 55_o sec_fw-la and_o the_o mean_a motion_n between_o both_o these_o motion_n next_o above_o in_o 24_o hour_n be_v 50_o min_fw-mi 2_o second_o 30_o three_o which_o motion_n be_v justify_v twice_o as_o above_o therefore_o i_o conclude_v the_o mean_a departure_n of_o the_o sun_n and_o moon_n in_o 24_o hour_n to_o be_v 50_o min_fw-mi 3_o seconds_z 30_o three_o and_o the_o hourly_a departure_n according_o to_o be_v 2_o min._n 5_o secon_fw-mi 8_o three_o 45_o fourth_n stadius_n affirm_v in_o his_o ephemerides_n that_o in_o 24_o hour_n the_o whole_a equator_fw-la and_o 50_o minute_n 8_o second_n be_v turn_v about_o which_o be_v most_o certain_a likewise_o in_o a_o mean_a be_v affirm_v that_o the_o conjunction_n of_o the_o sun_n and_o moon_n in_o one_o period_n at_o any_o one_o time_n in_o the_o year_n shall_v differ_v from_o the_o same_o time_n the_o next_o year_n and_o be_v soon_o 10_o day_n 21_o hour_n 11_o min._n as_o for_o example_n in_o the_o 12_o mean_v sinodicall_a month_n the_o time_n that_o want_v of_o 12_o time_n 30_o day_n be_v 5_o day_n 15_o hour_n 2_o minute_n which_o make_v 360_o day_n the_o remainder_n of_o the_o day_n of_o the_o whole_a year_n be_v 5_o day_n 6_o hour_n 9_o minute_n which_o both_o together_o be_v 10_o day_n 21_o hour_n 11_o min._n now_o for_o the_o refine_n of_o the_o first_o 2_o part_n let_v these_o last_o 2_o part_n follow_v suffice_v concern_v their_o error_n in_o reckon_v their_o tide_n deliver_v the_o time_n by_o the_o point_n of_o the_o compass_n for_o the_o confute_v hereof_o i_o will_v deliver_v six_o example_n three_o example_n in_o the_o north_n latitude_n 30_o degr_n and_o the_o other_o 3_o example_n in_o the_o north_n latitude_n 51_o degree_n 32_o minute_n north_n latitude_n 30_o degree_n the_o sun_n in_o capricorn_n 1_o the_o sun_n at_o southeast_n it_o be_v then_o ¼_n before_z 9_o a_o clock_n in_o the_o morning_n but_o if_o the_o moon_n have_v 5_o degree_n south_n latitude_n than_o it_o be_v 24_o minute_n before_o 9_o a_o clock_n if_o the_o moon_n have_v 5_o deg_fw-la north_n latitude_n than_o it_o be_v 16_o min._n past_o 9_o a_o clock_n sun_n in_o the_o equator_fw-la the_o sun_n at_o southeast_n it_o be_v then_o 14_o min._n past_o 10_o aclock_o in_o the_o morning_n but_o if_o the_o moon_n have_v 5_o degree_n south_n latitude_n than_o it_o be_v 7_o min._n before_o 10_o if_o the_o moon_n have_v 4_o degree_n north_n latitude_n than_o it_o be_v 30_o minute_n past_o 10_o a_o clok_n sun_n in_o cancer_n the_o sun_n at_o southeast_n it_o be_v then_o 32_o min._n past_o a_o 11_o a_o clock_n in_o the_o morning_n but_o if_o the_o moon_n have_v 5_o degr_n south_n latitude_n than_o it_o be_v 15_o minute_n past_o a_o 11_o if_o the_o moon_n have_v 5_o degr_n north_n latitude_n than_o it_o be_v 54_o minute_n past_o a_o 11_o of_o the_o clock_n and_o at_o a_o east_n sun_n it_o be_v then_o 18_o min._n past_o 9_o a_o clock_n in_o the_o morning_n but_o if_o the_o moon_n have_v 5_o degree_n south_n latitude_n than_o it_o be_v 24_o min._n past_o 8_o a_o clock_n if_o the_o moon_n have_v 5_o degr_n north_n latitide_n than_o it_o be_v 40_o min_fw-mi past_o 10_o a_o clock_n so_o that_o in_o this_o north_n latitude_n of_o 30_o degree_n there_o be_v difference_n of_o time_n in_o the_o moon_n be_v sentheast_n &_o 3_o hour_n 18_o min._n and_o in_o the_o same_o latitude_n difference_n from_o 6_o a_o clock_n in_o the_o east_n 4_o hour_n 40_o min._n the_o other_o 3_o example_n in_o the_o north_n latitude_n 51_o deg_fw-la 32_o min._n the_o sun_n in_o capricornus_fw-la 1_o the_o sun_n at_o
the_o fixestarre_n compare_v the_o observation_n make_v 400_o year_n before_o he_o with_o his_o own_o he_o find_v thereby_o that_o the_o fix_a star_n have_v move_v in_o consequence_n 4_o deg_fw-la therefore_o prolomie_n all_o owe_v to_o the_o whole_a revolution_n of_o the_o fix_a star_n to_o accomplish_v one_o period_n according_a to_o the_o rate_n of_o 36000_o year_n that_o be_v for_o every_o 100_o year_n one_o deg_fw-la mesline_n deliver_v also_o that_o the_o opinion_n of_o the_o alfonfine_n concern_v our_o revolution_n or_o accomplish_v of_o one_o period_n of_o the_o 9_o spheere_n be_v in_o 49000_o year_n but_o according_a to_o copernicus_n his_o observation_n one_o periodicall_a revolution_n be_v in_o 25816_o year_n deliver_v that_o a_o hour_n of_o the_o long_a day_n be_v 63_o minute_n 40_o second_o such_o as_o a_o hour_n of_o the_o short_a day_n be_v only_o 60_o min._n copernicus_n make_v likewise_o the_o year_n 365_o day_n 5_o hour_n 49_o min._n 15_o second_n 46_o three_o which_o he_o call_v the_o year_n tropical_a equal_o supputate_v or_o count_v to_o the_o middle_n equinoctial_a the_o aifonsine_n in_o their_o account_n want_v in_o their_o yearly_a period_n 13_o three_o mesline_n make_v the_o year_n 365_o day_n 6_o hour_n 9_o minute_n 39_o second_n and_o this_o year_n he_o call_v syderiall_a or_o starry_a number_v under_o the_o spheere_n of_o the_o fix_a star_n which_o be_v more_o than_o the_o year_n deliver_v by_o copernicus_n by_o 20_o min._n 23_o second_o 14_o three_o deliver_v the_o cause_n of_o this_o difference_n to_o be_v this_o make_v these_o beginning_n of_o the_o year_n to_o be_v in_o one_o point_n of_o the_o 10_o and_o 9_o sphéere_n and_o the_o 9_o sphéere_n before_o the_o year_n end_n be_v remoove_v easterly_a from_o the_o 10_o spheere_n the_o year_n end_n come_v to_o that_o point_n of_o the_o 12_o sphere_n again_o be_v to_o proceed_v from_o it_o to_o that_o point_n of_o the_o 9_o sphere_n also_o before_o the_o year_n end_v mesline_n deliver_v the_o sun_n be_v in_o the_o apogeum_n part_n that_o from_o middle_a motion_n to_o middle_a motion_n the_o sun_n pass_v 176_o deg_fw-la 20_o min._n of_o the_o ecliptic_n and_o the_o sun_n be_v in_o the_o perigeum_n part_n from_o middle_a motion_n to_o middle_a motion_n pass_v 183_o degr_n 40_o minute_n of_o the_o ecliptic_n which_o make_v a_o difference_n of_o 7_o degr_n 20_o minute_n but_o from_o the_o point_n of_o true_a motion_n the_o half_n be_v equal_a each_o 180_o deg_fw-la of_o the_o ecliptic_a and_o the_o arch_n of_o time_n between_o the_o middle_n and_o middle_a motion_n of_o the_o sun_n in_o apogeum_n part_n be_v 182_o day_n and_o 6_o hour_n also_o the_o arch_n of_o time_n between_o the_o true_a motion_n and_o true_a motion_n of_o the_o sun_n in_o the_o perigeum_n part_n be_v 179_o day_n which_o make_v the_o arch_n of_o time_n between_o the_o middle_n &_o the_o middle_a motion_n of_o the_o sun_n in_o apogeum_n more_o than_o in_o perigeum_n by_o three_o day_n and_o 6_o hour_n also_o make_v the_o arch_n of_o time_n between_o the_o middle_n and_o true_a motion_n of_o the_o sun_n in_o both_o the_o mean_a motion_n to_o be_v 4_o day_n and_o the_o arch_n of_o time_n different_a from_o the_o true_a motion_n to_o the_o true_a motion_n of_o the_o sun_n in_o apogeum_n from_o the_o same_o point_n in_o his_o perigeum_n to_o be_v 7_o day_n and_o 6_o hour_n and_o as_o for_o the_o rest_n of_o the_o theorick_n of_o the_o sun_n and_o moon_n i_o have_v deliver_v sufficient_a in_o my_o delivery_n before_o concern_v the_o tide_n but_o to_o conclude_v stadius_n in_o his_o ephemerides_n folio_fw-la 57_o of_o the_o equation_n of_o the_o natural_a day_n deliver_v as_o follow_v concern_v the_o time_n we_o have_v compute_v all_o the_o place_n of_o all_o the_o planet_n and_o also_o of_o the_o sun_n and_o poone_n in_o this_o our_o ephemerides_n for_o the_o natural_a day_n to_o wit_n for_o the_o space_n in_o the_o which_o the_o whole_a equator_fw-la be_v turn_v about_o and_o moreover_o 59_o minute_n and_o 8_o second_n but_o because_o the_o apparent_a and_o true_a day_n now_o and_o then_o do_v exceed_v this_o time_n and_o now_o and_o then_o be_v less_o to_o wit_n partly_o when_o the_o sun_n go_v swift_a or_o flower_n by_o reason_n of_o his_o prosthopherisis_n partly_o for_o that_o equal_a time_n of_o the_o equator_fw-la in_o the_o diurnal_a coartation_n or_o revolution_n do_v not_o answer_v to_o equal_a sagment_n or_o part_n of_o the_o zodiac_n it_o come_v to_o pass_v that_o this_o inequality_n of_o time_n also_o need_v a_o prosthopherist_n the_o which_o notwithstanding_o can_v be_v always_o equal_a nor_o certain_a for_o the_o conversion_n of_o the_o circle_n of_o the_o equator_fw-la though_o unto_o the_o middle_n and_o equal_a equinoctium_n which_o be_v the_o year_n divide_v into_o four_o equal_a part_n be_v evermore_o equal_o constant_a yet_o nevertheless_o unto_o the_o apparent_a equinoctium_n which_o be_v the_o true_a equinoctiis_fw-la which_o the_o eccentric_a yield_v be_v find_v not_o equal_a neither_o do_v the_o sun_n apogeum_n occupy_v a_o stable_a seat_n because_o the_o apogeum_n flect_v in_o the_o ecliptic_a every_o 13_o year_n 1_o degree_n 27_o minute_n moreover_o the_o sun_n in_o his_o excentricity_n do_v some_o hurt_n by_o his_o shift_n for_o the_o excentricity_n be_v more_o and_o less_o by_o a_o eleven_o semidiamiter_n of_o the_o earth_n as_o aforesaid_a and_o go_v about_o with_o the_o ecliptic_n wherefore_o also_o no_o limit_n can_v be_v appoint_v perpetual_o to_o this_o insquallity_n but_o in_o this_o our_o age_n all_o these_o cause_n confer_v one_o with_o another_o and_o add_v together_o do_v show_v that_o the_o great_a day_n and_o less_o day_n do_v differ_v one_o from_o a_o other_o one_o hour_n and_o 28_o minute_n that_o be_v to_o say_v 22_o time_n or_o meridian_n and_o 20_o minute_n of_o the_o equator_fw-la but_o see_v that_o this_o inequality_n of_o day_n can_v missever_v the_o rest_n of_o the_o motion_n therefore_o it_o be_v necessary_a that_o we_o shall_v admit_v they_o to_o be_v equal_a unto_o the_o which_o equal_a day_n the_o table_n of_o the_o motion_n sâ—ould_v be_v both_o make_v and_o set_v together_o the_o which_o course_n we_o have_v take_v in_o this_o our_o ephemerides_n and_o for_o that_o cause_n we_o have_v borrow_v the_o canon_n of_o equation_n of_o day_n out_o of_o erasmus_fw-la rheinholdus_fw-la which_o agree_v near_a with_o our_o age_n until_o the_o year_n 1600._o therefore_o according_a as_o you_o find_v the_o number_n in_o that_o cannon_n to_o add_v or_o subtract_v that_o be_v the_o time_n that_o the_o day_n be_v either_o long_a or_o short_a than_o the_o equal_a day_n or_o the_o day_n of_o the_o ephemerides_n that_o be_v the_o first_o equated_a day_n or_o day_n equate_v upon_o the_o difference_n of_o 88_o minute_n whereas_o the_o second_o equation_n be_v of_o day_n once_o equate_v and_o now_o do_v equate_v they_o upon_o the_o difference_n of_o 44_o minute_n who_o half_a be_v 22_o minute_n the_o great_a number_n within_o the_o cannon_n see_v there_o be_v a_o first_o error_n concern_v the_o time_n delver_v even_o in_o the_o motion_n of_o the_o heaven_n as_o aforesaid_a therefore_o these_o run_a glass_n deliver_v but_o a_o second_o error_n the_o reason_n be_v this_o because_o they_o can_v be_v make_v without_o their_o imperfection_n have_v need_n to_o be_v most_o careful_o make_v and_o by_o the_o precise_a workman_n that_o the_o time_n deliver_v by_o they_o may_v be_v but_o according_a to_o the_o second_o error_n for_o the_o delivery_n of_o the_o longitude_n by_o which_o run_v glass_n next_o hereafter_o nominate_v the_o longitude_n be_v better_a deliver_v then_o by_o any_o other_o instrument_n a_o glass_n who_o sand_n be_v mettle_n and_o the_o metal_n say_v by_o some_o will_v not_o rust_v notwithstanding_o in_o my_o opinion_n it_o will_v rust_v somewhat_o and_o be_v sometime_o moist_a then_o at_o other_o time_n likewise_o the_o hole_n that_o the_o sand_n run_v thorough_a will_v grow_v wide_a with_o the_o force_n of_o the_o sand_n the_o rather_o be_v violate_v by_o the_o surge_n of_o the_o sea_n which_o impersection_n consider_v the_o glass_n must_v needs_o deliver_v the_o time_n sometime_o short_a and_o sometime_o long_o according_a to_o the_o weather_n therefore_o a_o second_o error_n yet_o this_o glass_n be_v more_o tolerable_a than_o the_o rest_n for_o this_o delivery_n and_o be_v to_o be_v use_v before_o all_o other_o of_o which_o glass_n there_o may_v be_v divers_a sort_n for_o the_o delivery_n of_o more_o and_o less_o at_o pleasure_n and_o because_o the_o run_a glass_n with_o sand_n be_v more_o grosser_n and_o that_o clock_n and_o watch_n have_v their_o more_o imperfection_n than_o the_o former_a glass_n i_o will_v omit_v they_o and_o leave_v the_o delivery_n