the_o moon_n age_n example_n january_n 20._o 1656._o according_a to_o the_o account_n of_o the_o church_n of_o england_n who_o begin_v the_o year_n with_o march_n 25._o which_o be_v the_o equinoctial_a day_n about_o christ_n time_n the_o epact_n be_v 14._o january_n be_v the_o 11_o month_n and_o the_o 20_o day_n be_v propose_v now_o add_v 14_o 11_o and_o 20._o together_o they_o make_v 45._o out_o of_o which_o i_o take_v 30._o and_o there_o remain_v 15._o the_o moon_n age_n this_o rule_n be_v of_o good_a use_n not_o only_o to_o find_v the_o age_n of_o the_o moon_n and_o so_o her_o change_n to_o a_o day_n but_o also_o for_o examine_v of_o chronologie_n where_o the_o time_n be_v most_o certain_o reckon_v by_o eclipse_n but_o you_o must_v note_v that_o if_o you_o apply_v this_o rule_n to_o the_o year_n pass_v before_o anno_fw-la dom_fw-la 1600._o then_o for_o every_o 312._o year_n that_o the_o year_n propose_v precede_v anno_fw-la dom._n 1600._o you_o must_v subtract_v one_o day_n out_o of_o the_o age_n of_o the_o moon_n find_v by_o this_o rule_n example_n â—icius_fw-la lib._n 1._o report_n that_o in_o the_o begin_n of_o tiberius_n caesar_n reign_n there_o be_v a_o eclipse_n of_o the_o moon_n and_o temporarius_n say_v that_o whereas_o augustus_n die_v aug._n 29._o i_o think_v he_o shall_v say_v 19_o this_o eclipse_n happen_v sep._n 27._o i_o will_v know_v whether_o it_o be_v possible_a for_o a_o eclipse_n to_o happen_v that_o day_n suppose_v the_o beginning_n of_o tiberius_n to_o be_v in_o august_n anno_fw-la dom._n 14._o and_o anno_fw-la periodi_fw-la julianae_n 4727._o the_o prime_n for_o that_o year_n be_v 15_o and_o the_o epact_n 15._o by_o book_n 1._o 11._o add_v now_o to_o the_o epact_n for_o september_n 7._o and_o for_o the_o day_n of_o the_o month_n 27._o and_o the_o sum_n be_v 49._o out_o of_o which_o subduct_v 30._o i_o leave_v the_o moon_n age_n 19_o but_o because_o anno_fw-la dom._n 14._o precede_v anno_fw-la dom._n 1600._o 5._o time_n 312._o year_n therefore_o out_o of_o 19_o i_o subduct_v 5._o and_o there_o remain_v 14._o the_o age_n of_o the_o moon_n correct_v for_o september_n 27._o anno_fw-la dom._n 14._o therefore_o it_o be_v about_o the_o full_a moon_n and_o it_o be_v possible_a the_o moon_n may_v be_v eclipse_v then_o as_o temporarius_n say_v but_o it_o can_v not_o be_v eclipse_v september_n 27._o anno_fw-la dom._n 13._o for_o then_o the_o epact_n be_v 4._o the_o age_n of_o the_o moon_n by_o the_o same_o rule_n be_v 3._o neither_o can_v it_o happen_v sep._n 27._o anno_fw-la dom._n 15._o for_o then_o by_o the_o same_o rule_n the_o age_n of_o the_o moon_n be_v 25._o at_o what_o age_n the_o moon_n be_v far_o from_o her_o opposition_n to_o the_o sun_n and_o therefore_o can_v not_o be_v eclipse_v chap._n lxviii_o to_o find_v in_o what_o parallel_n and_o climate_n a_o place_n be_v by_o the_o latitude_n give_v parallel_n in_o geography_n be_v lesser_a circle_n parallel_v to_o the_o equator_fw-la and_o pass_v through_o the_o zenith_n of_o a_o place_n and_o succeed_v one_o another_o at_o such_o distance_n that_o at_o every_o parallel_n the_o length_n of_o the_o day_n be_v vary_a a_o quarter_n of_o a_o hour_n a_o climate_n be_v such_o a_o parallel_n as_o alter_v the_o length_n of_o the_o day_n half_a a_o hour_n the_o parallel_n and_o climate_n begin_v from_o the_o equator_fw-la under_o which_o the_o day_n be_v always_o equal_a to_o the_o night_n and_o each_o 12_o hour_n long_o hence_o they_o count_v the_o parallel_n and_o climate_n northward_o and_o southward_o but_o because_o the_o earth_n be_v not_o so_o far_o know_v to_o ptolemy_n and_o the_o ancient_a geographer_n as_o it_o have_v be_v to_o those_o of_o late_a time_n therefore_o there_o be_v great_a difference_n between_o the_o ancient_n and_o late_a geographer_n about_o the_o number_n and_o quantity_n of_o the_o space_n contain_v by_o they_o as_o among_o other_o kerkerman_n sy_v geography_n lib._n 1._o have_v show_v yet_o may_v they_o easy_o be_v find_v to_o every_o man_n mind_n by_o the_o planisphear_n in_o the_o meridional_a projection_n thus_o find_v by_o 4._o 17._o what_o be_v the_o semi-diurnal_a arch_n of_o the_o sun_n in_o ♋_o out_z of_o which_o take_v 6_o hour_n and_o look_v how_o many_o quarter_n of_o a_o hour_n the_o double_a of_o the_o residue_n contain_v so_o many_o geographical_a parallel_n be_v the_o place_n remove_v from_o the_o equator_fw-la and_o half_a so_o many_o climate_n example_n i_o find_v the_o semi-diurnal_a arch_n in_o our_o latitude_n to_o be_v 8_o hour_n 16_o minute_n in_o the_o tropic_n of_o cancer_n out_o of_o which_o taking_n 6._o and_o double_v the_o residue_n i_o have_v 4._o 33._o which_o be_v more_o than_o 9_o half_a hour_n or_o more_o than_o 18._o quarter_n so_o much_o our_o long_a day_n exceed_v 12_o hour_n therefore_o we_o shall_v be_v pass_v the_o 18_o parallel_n and_o 9_o climate_n viz._n in_o the_o begin_n of_o the_o 10_o climate_n and_o 19_o parallel_n chap._n lxix_o the_o longitude_n and_o latitude_n of_o two_o place_n give_v to_o find_v their_o distance_n what_o longitude_n and_o latitude_n in_o geography_n be_v and_o how_o they_o differ_v from_o longitude_n and_o latitude_n in_o astronomy_n have_v be_v show_v book_n 4_o 5.11_o if_o the_o place_n differ_v only_o in_o latitude_n and_o have_v one_o longitude_n bear_v full_a north_n or_o south_n one_o from_o another_o then_o take_v their_o difference_n of_o latitude_n by_o subduct_v the_o less_o out_o of_o the_o great_a if_o the_o place_n have_v both_o north_n latitude_n or_o both_o south_n latitude_n or_o take_v the_o sum_n of_o their_o latitude_n if_o one_o be_v north_n and_o the_o other_o south_n then_o for_o every_o degree_n of_o this_o difference_n or_o aggregate_v number_n you_o may_v reckon_v 69_o ½_n english_a mile_n of_o the_o statute_n which_o ordain_v 1760._o yard_n to_o be_v a_o mile_n but_o of_o english_a mile_n measure_v by_o common_a estimation_n there_o go_v not_o above_o 60._o to_o a_o degree_n so_o that_o every_o such_o mile_n that_o you_o travel_v north_n or_o south_n shall_v alter_v your_o latitude_n about_o one_o minute_n if_o they_o differ_v in_o longitude_n only_o and_o have_v no_o latitude_n but_o be_v both_o under_o the_o equator_fw-la you_o shall_v reckon_v in_o like_a manner_n for_o every_o degree_n they_o differ_v in_o longitude_n 69_o ½_n miles_n of_o distance_n in_o all_o other_o case_n you_o have_v a_o triangle_n soluble_a by_o the_o second_o problem_n of_o obliquangled_a triangle_n of_o which_o triangle_n the_o compliment_n of_o latitude_n make_v the_o two_o comprehend_v side_n and_o the_o difference_n of_o the_o longitude_n of_o the_o place_n be_v the_o angle_n comprehend_v between_o they_o and_o the_o three_o side_n be_v the_o arch_n of_o the_o distance_n of_o the_o place_n which_o when_o you_o have_v find_v in_o degree_n and_o minute_n of_o a_o great_a circle_n you_o may_v turn_v into_o miles_n as_o before_o mark_v how_o the_o distance_n of_o two_o star_n be_v find_v by_o their_o longitude_n and_o latitude_n give_v chapter_n 37._o in_o the_o same_o manner_n may_v you_o find_v the_o distance_n of_o two_o city_n or_o to_n example_n i_o will_v know_v the_o distance_n of_o london_n from_o jerusalem_n the_o compliment_n of_o the_o latitude_n of_o london_n be_v 38._o 28_o minute_n the_o compliment_n of_o the_o latitude_n of_o jerusalem_n be_v 58._o 05_o minute_n the_o difference_n of_o their_o longitude_n 46._o 0_o minute_n i_o set_v the_o zenith_n to_o the_o latitude_n of_o london_n in_o the_o limb_n that_o be_v 38._o 28_o minute_n from_o the_o pole_n so_o the_o limb_n be_v the_o circle_n of_o longitude_n in_o which_o london_n stand_v than_o i_o seek_v the_o 46_o meridian_n from_o that_o side_n of_o the_o limb_n where_o zenith_n be_v set_v for_o london_n for_o that_o 46_o méridian_n be_v the_o circle_n of_o jerusalem_n longitude_n because_o the_o difference_n of_o longitude_n be_v 46._o now_o because_o jerusalem_n latitude_n be_v 31._o 55._o and_o the_o compliment_n thereof_o or_o distance_n from_o the_o pole_n 58._o 5_o minute_n i_o walk_v on_o in_o the_o 46_o meridian_n till_o i_o come_v where_o the_o 58th_o parallel_n from_o the_o pole_n cross_v he_o and_o there_o be_v the_o place_n of_o jerusalem_n the_o azimuth_n that_o go_v hence_o to_o the_o zenith_n be_v the_o near_a way_n from_o jerusalem_n to_o london_n what_o azimuth_n this_o be_v i_o regard_v not_o for_o i_o inquire_v not_o the_o angle_n at_o london_n but_o i_o observe_v by_o the_o parallel_n how_o many_o degree_n there_o be_v in_o he_o between_o the_o place_n of_o jerusalem_n and_o the_o zenith_n and_o i_o find_v 38_o degree_n 20_o minute_n which_o be_v resolve_v into_o miles_n be_v 2300._o mile_n of_o common_a estimation_n but_o miles_n of_o the_o statute_n 2664._o the_o distance_n of_o
plumb-line_n cut_v 10_o degree_n from_o b_o towards_o c_o i_o say_v then_o be_v the_o sun_n 5_o degree_n high_a and_o 30_o degree_n more_o in_o all_o 35_o degree_n in_o like_a manner_n you_o may_v place_v the_o sight_n at_o any_o other_o number_n of_o degree_n from_o d_o towards_o a_o as_o you_o shall_v find_v most_o convenient_a for_o the_o present_a altitude_n remember_v always_o that_o how_o many_o degree_n soever_o you_o remove_v the_o sight_n half_o so_o many_o be_v to_o be_v add_v to_o the_o altitude_n find_v but_o if_o your_o reet_n happen_v to_o run_v so_o far_o under_o the_o limb_n that_o you_o can_v make_v a_o center-hole_n for_o the_o plumbet_n through_o the_o limb_n and_o mater_n without_o hinder_v the_o reet_n motion_n then_o may_v you_o have_v a_o small_a plate_n of_o sheet_n brass_n in_o fashion_n of_o a_o arm_n or_o tongue_n in_o the_o point_n whereof_o you_o shall_v have_v a_o center-hole_n drill_v and_o this_o plate_n shall_v be_v so_o join_v with_o a_o sluice_n or_o screw_v about_o the_o limb_n near_o a_o that_o the_o center-hole_n make_v in_o this_o plate_n may_v lie_v close_o to_o the_o point_n where_o the_o centre_n shall_v have_v be_v bore_v in_o the_o limb_n in_o the_o line_n a_o b_o and_o thus_o you_o may_v put_v it_o on_o and_o take_v it_o off_o at_o pleasure_n that_o it_o hinder_v not_o the_o motion_n of_o the_o reet_n or_o label_n of_o the_o fashion_n of_o the_o sight_n see_v more_o book_n 4.2_o chap._n xi_o of_o the_o perpetual_a calendar_n on_o the_o backside_n on_o the_o backside_n of_o your_o planisphear_n you_o may_v set_v the_o calendar_n follow_v which_o consist_v of_o three_o table_n gather_v round_o the_o long_a will_v be_v set_v outtermost_a the_o first_o be_v the_o table_n of_o the_o cycle_n of_o the_o sun_n that_o be_v of_o the_o sunday_n letter_n this_o be_v here_o place_v in_o the_o middle_n it_o be_v a_o cycle_n of_o 28._o year_n in_o which_o time_n the_o dominical_a letter_n run_v all_o his_o change_n cause_v by_o the_o one_o odd_a day_n above_o 52_o week_n in_o every_o common_a year_n and_o two_o odd_a day_n which_o run_v over_o the_o even_a week_n in_o the_o leap_v year_n to_o find_v the_o begin_n of_o this_o cycle_n add_v to_o the_o year_n of_o our_o lord_n 9_o because_o the_o first_o year_n of_o our_o lord_n as_o we_o common_o acount_v be_v the_o 10_o of_o this_o cycle_n and_o divide_v the_o sum_n by_o 28._o the_o remainder_n be_v the_o year_n of_o the_o cycle_n run_v and_o if_o nothing_o remain_v than_o it_o be_v the_o 28._o or_o last_o year_n so_o you_o shall_v find_v that_o the_o cycle_n now_o run_v shall_v end_v with_o the_o julian_n year_n 1671_o as_o in_o the_o table_n and_o shall_v begin_v again_o with_o the_o year_n of_o our_o lord_n 1672._o thus_o may_v you_o renew_v the_o table_n when_o it_o be_v expire_v or_o make_v this_o very_a table_n serve_v you_o for_o ever_o example_n enter_v this_o table_n with_o the_o year_n of_o our_o lord_n 1656._o now_o run_v and_o you_o shaall_v find_v over_o against_o this_o year_n in_o the_o next_o space_n inward_o 13._o show_v you_o that_o it_o be_v the_o 13_o year_n of_o the_o sun_n cycle_n so_o shall_v the_o 28_o year_n forward_o viz._n 1684_o be_v again_o the_o 13_o year_n of_o the_o cycle_n next_o come_v in_o the_o next_o space_n within_o you_o have_v the_o dominical_a letter_n f_o and_o e_o because_o it_o be_v leap_v year_n f_o shall_v be_v the_o dominical_a letter_n till_o you_o come_v pass_v the_o intercalary_n day_n which_o be_v the_o day_n follow_v the_o 24_o of_o february_n and_o for_o the_o rest_n of_o this_o year_n the_o dominical_a letter_n shall_v be_v e_z for_o the_o letter_n always_o change_v backward_o also_o you_o shall_v note_v here_o that_o the_o day_n insert_v in_o every_o four_o year_n be_v not_o february_n 29_o but_o february_n 25._o for_o february_n 24._o be_v 6_o cal._n martij_fw-la be_v repeat_v again_o in_o the_o leap_n year_n and_o they_o write_v again_o february_n 25.6_o cal._n martij_fw-la and_o the_o 25_o of_o february_n in_o the_o leap_n year_n be_v mark_v with_o the_o same_o letter_n f_o wherewith_o the_o 24_o of_o february_n happen_v always_o to_o be_v mark_v hence_o the_o leap_n year_n be_v call_v annus_fw-la bissextilis_fw-la and_o note_v that_o by_o the_o eclesiasticall_a law_n s._n mathias_n day_n which_o be_v february_n 24_o in_o common_a year_n in_o the_o bissextile_a year_n be_v to_o be_v observe_v on_o february_n 25._o nevertheless_o in_o our_o secular_a law_n not_o the_o 24_o and_o 25_o of_o february_n but_o the_o 28_o and_o 29_o in_o the_o leap_n year_n be_v ordain_v to_o be_v one_o day_n in_o the_o account_n of_o law_n as_o by_o statutum_n de_fw-fr anno_fw-la bissextili_fw-la make_v in_o 21_o year_n henry_n 3_o may_v appear_v the_o second_o table_n be_v of_o the_o cycle_n of_o the_o moon_n consist_v of_o the_o prime_n or_o golden_a number_n and_o the_o epact_n this_o table_n contain_v 19_o year_n which_o be_v the_o annus_fw-la metonicus_fw-la in_o which_o space_n of_o time_n meton_n a_o astronomer_n about_o 430_o year_n before_o christ_n observe_v the_o moon_n to_o finish_v all_o her_o variation_n so_o that_o every_o 19_o year_n the_o mean_a conjunction_n or_o change_n shall_v happen_v upon_o the_o same_o day_n of_o the_o month_n that_o they_o do_v happen_v upon_o 19_o year_n before_o only_o a_o hour_n and_o half_a soon_o yet_o because_o every_o 19_o year_n contain_v not_o the_o same_o number_n of_o leap_v year_n but_o sometime_o there_o come_v five_o leap_n year_n in_o 19_o year_n and_o sometime_o but_o four_o therefore_o there_o may_v happen_v in_o this_o period_n of_o meton_n a_o error_n of_o a_o whole_a day_n beside_o the_o hour_n and_o half_o above_o mention_v for_o remedy_v whereof_o calippus_n about_o the_o 330_o year_n before_o christ_n devise_v to_o quadruple_a this_o period_n of_o meton_n make_v periodâ—s_v calippica_fw-la of_o 76_o year_n which_o contain_v just_a 19_o quaternion_n of_o year_n so_o contain_v always_o the_o same_o number_n of_o leap_v year_n and_o day_n this_o period_n be_v therefore_o more_o perfect_a than_o metons_n for_o after_o this_o period_n of_o 76_o year_n the_o moon_n run_v over_o the_o same_o course_n for_o her_o conjunction_n and_o opposition_n change_v in_o the_o same_o year_n of_o the_o period_n always_o upon_o the_o same_o day_n of_o the_o month_n save_v only_o that_o she_o change_v soon_o by_o six_o hour_n in_o the_o latter_a period_n then_o in_o the_o former_a but_o the_o church_n still_o retain_v the_o period_n of_o meton_n call_v the_o prime_n or_o golden_a number_n because_o it_o use_v to_o be_v set_v in_o golden_a letter_n in_o the_o calendar_n in_o a_o certain_a artificial_a order_n throughout_o every_o month_n to_o guide_v you_o to_o the_o day_n of_o the_o moon_n prime_a or_o change_a so_o may_v you_o find_v it_o in_o red_a letter_n thus_o set_v to_o the_o calendar_n print_v in_o large_a folio_n with_o the_o book_n of_o common_a prayer_n in_o the_o time_n of_o the_o late_a queen_n elizabeth_n to_o find_v the_o year_n of_o the_o prime_n add_v to_o the_o year_n of_o our_o lord_n 1_o and_o divide_v the_o sum_n by_o 19_o the_o remainder_n be_v the_o year_n of_o the_o prime_n or_o if_o nothing_o remain_v it_o be_v the_o 19_o or_o last_o year_n thus_o you_o may_v find_v the_o present_a year_n 1656_o to_o be_v the_o four_o year_n of_o the_o prime_n and_o so_o you_o find_v it_o in_o the_o table_n the_o cycle_n or_o period_n now_o run_v end_v with_o 1671._o and_o begin_v again_o with_o the_o year_n follow_v the_o epact_n or_o concurrent_a be_v set_v against_o the_o prime_n in_o the_o next_o space_n inward_o and_o finish_v his_o cycle_n in_o the_o same_o time_n it_o be_v devise_v to_o find_v more_o ready_o the_o day_n of_o the_o change_n and_o age_n of_o the_o moon_n the_o way_n to_o find_v it_o be_v this_o multiply_v the_o golden_a number_n serve_v for_o your_o year_n by_o 11_o and_o divide_v the_o product_n by_o 30_o the_o residue_n be_v the_o epact_n for_o your_o year_n or_o have_v the_o epact_n know_v for_o any_o year_n you_o may_v make_v it_o from_o year_n to_o year_n by_o add_v 11_o to_o the_o epact_n of_o the_o year_n forego_v and_o cast_v away_o 30_o when_o the_o sum_n exceed_v 30._o the_o reason_n whereof_o be_v that_o the_o moon_n change_v 12_o time_n in_o 354._o day_n that_o be_v 11_o day_n before_o the_o sun_n have_v go_v his_o round_n for_o which_o cause_n the_o change_n must_v needs_o happen_v every_o year_n 11_o day_n soon_o observe_v here_o that_o the_o prime_n change_v every_o year_n the_o first_o day_n of_o january_n the_o epact_n not_o till_o the_o first_o of_o march_n the_o dominical_a letter_n change_v upon_o the_o
plain_o distinguish_v from_o the_o rest_n in_o the_o fabric_n of_o this_o instrument_n therefore_o you_o may_v easy_o count_v the_o angle_n of_o the_o hour_n in_o any_o parallel_n b_o at_o the_o zenith_n be_v the_o angle_n of_o the_o azimuth_n account_v from_o the_o north_n part_n of_o the_o meridian_n his_o full_a measure_n be_v in_o the_o finiterline_v of_o the_o reet_n but_o you_o may_v number_v it_o in_o any_o almicanter_n because_o every_o 5_o and_o 15_o azimuth_n be_v distinguish_v on_o the_o reet_n as_o the_o meridian_n be_v on_o the_o mater_n c_o the_o place_n of_o the_o sun_n or_o star_n in_o the_o meeting_n of_o the_o meridian_n and_o azimuth_n be_v the_o three_o angle_n which_o common_o be_v neither_o know_v nor_o inquire_v but_o it_o may_v be_v find_v when_o you_o please_v by_o turn_v the_o triangle_n as_o have_v be_v often_o show_v now_o if_o you_o be_v verse_v in_o the_o 8_o last_o chapter_n of_o the_o three_o book_n you_o may_v easy_o find_v any_o of_o the_o requisite_n of_o this_o chapter_n without_o any_o more_o direction_n nevertheless_o for_o the_o learner_n sake_n i_o shall_v exemplify_v this_o general_a problem_n in_o the_o 4_o next_o chapter_n and_o also_o further_o in_o the_o 31_o 32_o and_o 33._o chapter_n hereafter_o follow_v see_v the_o scheam_n chap._n 26._o chap._n xxv_o to_o find_v the_o altitude_n and_o azimuth_n of_o the_o sun_n or_o star_n at_o any_o time_n propose_v the_o latitude_n and_o declination_n be_v know_v your_o planisphear_n set_v in_o the_o first_o mode_n of_o the_o meridional_a projection_n as_o in_o the_o former_a chapter_n go_v to_o the_o parallel_n of_o the_o declination_n of_o the_o sun_n or_o star_n and_o follow_v he_o through_o all_o the_o meridian_n from_o the_o finiter_fw-la to_o the_o limb_n which_o be_v the_o meridian_n of_o your_o place_n and_o thence_o back_o again_o to_o the_o finiter_n and_o you_o shall_v find_v at_o the_o first_o sight_n what_o almicanter_n and_o azimuth_n cross_v the_o parallel_n in_o any_o point_n propose_v and_o so_o have_v you_o the_o altitude_n and_o azimuth_n thereof_o example_n june_n 10._o the_o sun_n be_v in_o the_o tropic_n of_o cancer_n and_o so_o make_v his_o diurnal_a revolution_n in_o the_o 23_o ½_n parallel_v of_o declination_n i_o follow_v this_o parallel_n the_o tropic_n from_o the_o horizon_n upward_o and_o have_v go_v 4_o degree_n i_o meet_v the_o ragged_a arch_n or_o hour_n line_n of_o 4._o which_o be_v the_o 120th_o meridian_n from_o the_o south_n there_o cross_v the_o second_o almicantar_n and_o the_o three_o and_o fifty_o azimuth_n from_o the_o north_n whereby_o i_o learn_v that_o at_o 4._o in_o the_o morning_n june_n 10_o the_o sun_n be_v 2_o degree_n high_a and_o in_o azimuth_n from_o the_o north_n 53._o thence_o go_v on_o 15_o degree_n i_o come_v to_o the_o hour_n circle_n of_o 5._o where_o cut_v the_o 10_o almicantar_n almost_o and_o azimuth_n 64_o degree_n and_o better_o go_v 15_o degree_n further_o i_o come_v to_o the_o axtree-line_n which_o be_v the_o hour_n circle_n of_o 6._o and_o there_o i_o find_v the_o sun_n altitude_n 18_o degree_n and_o his_o azimuth_n from_o the_o north_n 75_o degree_n etc._n etc._n and_o look_v what_o altitude_n and_o azimuth_n i_o find_v at_o 4_o 5_o 6._o &c_n &c_n in_o the_o morning_n the_o same_o i_o find_v at_o the_o afternoon_n hour_n that_o have_v like_o distance_n from_o noon_n because_o the_o eastern_a and_o western_a hemisphear_n be_v alike_o and_o the_o same_o line_n serve_v they_o both_o thus_o you_o may_v do_v in_o any_o other_o parallel_n and_o for_o any_o star_n as_o well_o as_o the_o sun_n have_v his_o declination_n give_v and_o so_o you_o may_v make_v table_n of_o the_o sun_n altitude_n and_o azimuth_n at_o every_o hour_n and_o quarter_n of_o a_o hour_n if_o you_o please_v for_o every_o day_n throughout_o the_o year_n and_o that_o as_o fast_o as_o you_o can_v write_v they_o without_o change_v the_o posture_n of_o the_o planisphear_n at_o all_o chap._n xxvi_o the_o latitude_n altitude_n and_o azimuth_n give_v to_o find_v the_o declination_n and_o the_o hour_n example_n have_v observe_v the_o sun_n altitude_n 13._o degree_n and_o his_o azimuth_n from_o the_o south_n westward_n 28_o ½_n in_o our_o latitude_n 52_o ¼_n my_o planisphear_n set_v in_o the_o same_o manner_n as_o chapter_n 25._o i_o seek_v out_o the_o 13_o almicantar_n at_o the_o limb_n of_o my_o reet_n and_o follow_v he_o inward_o till_o i_o come_v between_o azimuth_n 28_o and_o 29_o there_o i_o meet_v the_o 30_o meridian_n and_o the_o 20_o ¼_n parallel_v of_o declination_n by_o which_o i_o gather_v that_o it_o be_v 2_o of_o the_o clock_n after_o noon_n and_o that_o the_o sun_n decline_v southward_o 20_o degree_n ¼_n note_v here_o that_o the_o hour_n of_o a_o star_n thus_o find_v be_v not_o the_o hour_n of_o the_o night_n unless_o the_o star_n happen_v to_o be_v opposite_a to_o the_o sun_n but_o it_o be_v the_o time_n the_o star_n lack_v to_o come_v to_o the_o south_n or_o the_o time_n of_o his_o course_n from_o the_o south_n chap._n xxvii_o the_o latitude_n declination_n and_o altitude_n give_v to_o find_v the_o hour_n and_o azimuth_n here_o the_o three_o side_n of_o the_o complimental_a triangle_n be_v give_v and_o the_o angle_n a_o and_o b_o seek_v example_n march_v the_o 10_o in_o the_o morning_n the_o sun_n be_v in_o the_o equinoctial_a i_o observe_v his_o altitude_n 32_o degree_n the_o finiter_n be_v set_v to_o my_o latitude_n 52_o ¼_n as_o before_o i_o go_v to_o the_o 32._o almicantar_n in_o the_o reet_n and_o where_o i_o find_v he_o cross_v the_o equinoctial_a line_n of_o the_o mater_n there_o i_o conclude_v be_v the_o place_n of_o the_o sun_n at_o the_o time_n of_o my_o observation_n and_o the_o angle_n c_o of_o my_o triangle_n there_o the_o 30_o ½_n meridian_n pass_v show_v i_o that_o the_o angle_n a_o at_o the_o pole_n be_v 30_o ½_n or_o that_o it_o want_v half_a a_o degree_n that_o be_v 2_o minute_n of_o time_n of_o ten_o of_o the_o clock_n and_o there_o also_o the_o azimuth_n 36_o â…”_n from_o the_o south_n or_o from_o the_o north_n 143_o â…“_n show_v i_o that_o the_o angle_n b_o at_o the_o zenith_n be_v 143_o â…“_n the_o azimuth_n from_o the_o north_n and_o his_o supplement_n 36_o â…”_n the_o azimuth_n from_o the_o south_n chap._n xxviii_o the_o declination_n altitude_n and_o azimuth_n of_o the_o sun_n give_v to_o find_v the_o hour_n and_o latitude_n in_o the_o meridional_a projection_n look_v in_o the_o reet_n where_o the_o almicantar_n for_o the_o altitude_n give_v and_o the_o azimuth_n give_v do_v cross_a and_o turn_v the_o point_n of_o the_o reet_n where_o they_o cross_v to_o the_o parallel_n of_o the_o sun_n declination_n upon_o the_o mater_n the_o meridian_n that_o cut_v there_o show_v the_o hour_n and_o between_o the_o finiter_n and_o the_o pole_n or_o between_o the_o equator_fw-la and_o the_o zenith_n you_o have_v the_o latitude_n in_o the_o limb._n chap._n xxix_o to_o find_v the_o hour_n of_o the_o night_n by_o the_o northing_n or_o sothe_v rise_v or_o set_v of_o any_o star_n use_v for_o this_o the_o equinoctial_a projection_n and_o if_o the_o star_n be_v in_o your_o reet_n turn_v he_o to_o the_o north_n or_o south_n of_o the_o meridian_n line_n or_o to_o the_o east_n or_o west_n part_n of_o the_o horizon_n in_o your_o planisphear_n as_o you_o see_v he_o in_o the_o heaven_n then_o turn_v the_o label_n to_o the_o sun_n place_n in_o the_o ecliptic_a of_o the_o reet_n and_o it_o shall_v show_v the_o hour_n in_o the_o limb_n but_o if_o the_o star_n be_v not_o in_o the_o reet_n you_o shall_v supply_v he_o by_o the_o shift_n use_v chap._n 18._o example_n march_n 10_o i_o see_v sirius_n set_v in_o the_o south-west_n and_o have_v turn_v he_o to_o the_o same_o place_n in_o my_o planisphear_n i_o lay_v the_o label_n to_o ♈_o 0._o which_o be_v the_o sun_n place_n for_o that_o day_n and_o it_o cut_v in_o the_o limb_n 11._o hour_n 3_o minute_n past_o noon_n again_o december_n 1_o see_v lucida_n pleiadum_fw-la in_o the_o meridian_n i_o turn_v the_o star_n till_o he_o touch_v the_o meridian_n line_n of_o the_o mater_n then_o lay_v the_o label_n to_o â™_o 19_o the_o place_n of_o the_o sun_n i_o find_v it_o be_v 10._o hour_n 17._o minute_n at_o night_n the_o same_o night_n i_o see_v ras_n aben_n or_o the_o bright_a in_o the_o dragon_n head_n under_o the_o pole_n in_o the_o north_n part_n of_o the_o meridian_n wherefore_o i_o place_v he_o on_o the_o meridian_n line_n between_o the_o centre_n and_o septentrio_fw-la and_o the_o label_n lay_v to_o â™_o 19_o show_v i_o it_o be_v 12._o 36._o minute_n that_o be_v more_o than_o half_a a_o hour_n past_o midnight_n chap._n xxx_o the_o time_n of_o day_n or_o night_n
pleyade_n in_o our_o lat_fw-mi cosmical_o set_v ☉_o in_o â™_o 29_o ½_n nou._n 11._o at_o athens_n cosmical_o rise_v ☉_o in_o ♉_o 19_o ½_n april_n 30._o at_o athens_n cosmical_o set_v ☉_o in_o â™_o 27_o ½_n novem._n 9_o arcturus_n in_o our_o lat._n cosmical_o ri._n ☉_o in_o ♎_o 0_o sep._n 13._o arcturus_n in_o our_o lat._n cosmical_o set._n ☉_o in_o ♋_o 4_o june_n 15._o at_o athens_n cosmical_o rise_v ☉_o in_o ♎_o 10_o ½_n sept._n 23._o at_o athens_n cosmical_o set_v ☉_o in_o ♊_o 6._o may_v 17._o chap._n xxi_o to_o find_v the_o time_n when_o any_o star_n rise_v or_o set_v acronycal_o by_o his_o declination_n and_o right_a ascension_n and_o the_o latitude_n of_o the_o place_n when_o a_o star_n rise_v just_a at_o sunsetting_a he_o be_v say_v to_o rise_v acronical_o to_o find_v the_o time_n turn_v the_o star_n to_o the_o east_n part_n of_o the_o horizon_n in_o the_o equinoctial_a projection_n and_o mark_v what_o degree_n of_o the_o ecliptic_a descend_v in_o the_o west_n for_o when_o the_o sun_n come_v to_o that_o degree_n the_o star_n shall_v rise_v acronical_o example_n when_o sirius_n touch_v the_o south_n east_n quarter_n of_o our_o horizon_n i_o see_v â™’_o 18._o set_v therefore_o when_o the_o sun_n be_v in_o â™’_o 18._o sirius_n rise_v acronical_o a_o star_n set_v acronical_o when_o he_o set_v with_o the_o sun_n to_o find_v the_o time_n place_v the_o star_n set_v in_o the_o west-part_n of_o the_o horizon_n and_o see_v what_o degree_n of_o the_o ecliptic_a set_v with_o he_o for_o when_o the_o sun_n be_v in_o that_o degree_n the_o star_n shall_v set_v acronical_o thus_o in_o our_o latitude_n sirius_n acronical_o rise_v ☉_o in_o â™’_o 18._o jan._n 27._o sirius_n acronical_o seat_v ☉_o in_o ♉_o 23._o may_v 3_o at_o athens_n sirius_n acronical_o ri._n ☉_o in_o â™’_o 4._o janu._n 13._o at_o athens_n sirius_n acronical_o set._n ☉_o in_o ♊_o 9_o may_v 20._o pleiades_n acronical_o rise_v ☉_o in_o â™_o 13._o octo._n 26._o pleiades_n acronical_o seat_v ☉_o in_o ♉_o 29_o ½_n may_v 10._o at_o athens_n pleiades_n acroni_n rise_v ☉_o in_o â™_o 19_o ½_n nou._n 1._o at_o athens_n pleiades_n acroni_n seat_v ☉_o in_o ♉_o 27_o ½_n may_v 8._o arcturus_n acronical_o rise_v ☉_o in_o ♈_o 0._o march_n 10._o arcturus_n acronical_o seat_v ☉_o in_o ♑_o 4_o dec._n 15._o at_o athens_n arcturus_n acroni_n rise_v ☉_o in_o ♈_o 10._o ½_n mar._n 20._o at_o athens_n arcturus_n acroni_n seat_v ☉_o in_o â™_o 6._o nove._n 18._o chap._n xxii_o to_o find_v when_o a_o star_n rise_v or_o set_v heliacal_o astar_n rise_v heliacal_o when_o he_o gete_v out_o of_o the_o beam_n of_o the_o sun_n and_o begin_v to_o be_v see_v in_o the_o east_n a_o little_a before_o sun_n rise_v and_o a_o star_n be_v say_v to_o set_v heliacal_o when_o he_o get_v into_o the_o beam_n of_o the_o sun_n and_o begin_v to_o be_v least_o in_o the_o evening_n by_o reason_n of_o the_o sun_n opproach_v to_o he_o those_o star_n which_o you_o see_v near_a the_o east_n horizon_n in_o the_o morning_n twilight_n be_v heliacall_a riser_n and_o those_o which_o you_o see_v near_a the_o westpart_n of_o the_o horizon_n in_o the_o evening_n twilight_n be_v heliacall_a setter_n for_o this_o no_o exact_a rule_n can_v be_v give_v for_o all_o man_n have_v not_o like_a quickness_n of_o sight_n nor_o all_o star_n like_o brightness_n nor_o all_o climate_n country_n and_o day_n of_o the_o year_n the_o same_o clearness_n of_o air._n and_o the_o moon_n oft_o time_n augment_v the_o twilight_n when_o she_o be_v within_o a_o few_o day_n of_o the_o change_n and_o keep_v the_o star_n long_o combust_v common_o about_o twenty_o day_n before_o their_o acronical_a set_n they_o come_v within_o the_o sun_n beam_n and_o so_o set_v heliacal_o and_o they_o appear_v again_o that_o be_v rise_v heliacal_o about_o twenty_o day_n after_o their_o cosmical_a rise_n but_o if_o they_o be_v great_a star_n the_o air_n clear_a your_o sight_n good_a the_o angle_n make_v between_o the_o ecliptic_a and_o the_o horizon_n great_a they_o may_v appear_v soon_o and_o late_a in_o the_o contrary_a case_n according_a to_o this_o rule_n the_o pleyade_n set_v heliacal_o now_o at_o athens_n ☉_o in_o ♉_o 7._o and_o rise_v heliacally_a ☉_o in_o ♊_o 9_o so_o they_o shall_v be_v combust_v there_o 32_o day_n but_o because_o they_o be_v star_n of_o less_o magnitude_n we_o may_v perhaps_o allow_v they_o 40_o day_n as_o hesiod_n do_v in_o his_o time_n in_o the_o begin_n of_o his_o second_o book_n of_o week_n and_o day_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d chap._n xxiii_o to_o find_v the_o age_n when_o any_o astrologer_n live_v and_o what_o time_n of_o the_o solar_a year_n the_o season_n happen_v in_o his_o country_n by_o know_v his_o latitude_n and_o the_o rise_n of_o any_o star_n in_o his_o time_n the_o old_a grecian_n and_o after_o they_o the_o latin_n before_o julius_n caesar_n especial_o design_v the_o season_n of_o the_o year_n by_o the_o rise_n and_o set_v of_o some_o notable_a star_n hesiod_n begin_v his_o second_o book_n of_o week_n and_o day_n with_o this_o georgical_a canon_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d that_o be_v when_o the_o pleyade_n rise_v begin_v to_o mow_v and_o to_o plough_v when_o they_o set_v and_o in_o the_o same_o book_n verse_n 182._o he_o say_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d that_o be_v 60_o day_n after_o the_o winter_n tropic_n arcturus_n rise_v acronical_o and_o then_o appear_v the_o swallow_n the_o spring_n be_v then_o new_o begin_v these_o and_o the_o like_a rule_n be_v the_o husbandman_n almanac_n by_o which_o they_o measure_v the_o solar_a year_n and_o the_o return_n of_o the_o season_n for_o in_o their_o civil_a year_n consist_v of_o lunar_a month_n by_o reason_n of_o a_o intercalary_n month_n which_o be_v add_v every_o three_o year_n and_o somewhat_o oft_o the_o season_n can_v happen_v upon_o the_o same_o day_n of_o the_o month_n yearly_a but_o sometime_o 2_o or_o 3_o week_n soon_o or_o late_a as_o our_o movable_a feast_n do_v the_o rise_n and_o set_v of_o the_o fix_a star_n keep_v the_o same_o distance_n yearly_o from_o the_o equinoctial_a and_o solstitial_a point_n for_o a_o man_n age_n near_o enough_o but_o long_o those_o rule_n can_v last_v without_o some_o perceivable_a error_n for_o in_o 100_o year_n the_o star_n go_v forward_o in_o longitude_n according_a to_o tycho_n 1_o degree_n 25_o minute_n by_o reason_n whereof_o the_o rise_n and_o setting_n of_o the_o star_n happen_v late_a in_o the_o year_n about_o a_o day_n and_o half_a every_o 100_o year_n in_o the_o same_o latitude_n now_o if_o you_o will_v note_v in_o what_o age_n a_o star_n have_v such_o a_o rise_n or_o set_v in_o such_o a_o latitude_n as_o for_o example_n in_o what_o age_n arcturus_n rise_v 60_o day_n after_o midwinter_n in_o the_o latitude_n of_o asera_n in_o boeotia_n near_o athens_n who_o latitude_n be_v 37_o ¼_n and_o consequent_o how_o long_o since_o hesiod_n live_v in_o who_o day_n arcturus_n have_v such_o rise_n you_o shall_v reason_v thus_o 60._o day_n after_o the_o winter_n tropic_n the_o sun_n be_v in_o ♓_o 1_o degree_n by_o the_o ephemeris_fw-la for_o in_fw-la those_o 60_o day_n near_o his_o perigium_n he_o go_v about_o 61_o degree_n i_o be_o therefore_o to_o seek_v when_o arcturus_n do_v rise_v at_o athens_n with_o the_o opposite_a degree_n of_o the_o ecliptic_a â™_o 1_o degree_n the_o sun_n be_v in_o ♓_o 1_o degree_n then_o set_v over_o against_o it_o i_o seek_v the_o longitude_n and_o latitude_n of_o arcturus_n and_o find_v in_o tycho'es_n table_n that_o anno_fw-la domi._n 1600._o arcturus_n have_v longitude_n ♎_o 18._o 39_o minute_n latitude_n b._n 31.02_o minute_n then_o i_o will_v suppose_v that_o hesiod_n live_v 830._o year_n before_o christ_n for_o there_o some_o chronologer_n place_v he_o but_o without_o any_o good_a proof_n that_o i_o find_v that_o be_v 2430_o year_n before_o anno_fw-la domi._n 1600._o in_o which_o space_n of_o time_n arcturus_n must_v have_v increase_v his_o longitude_n by_o tycho_n '_o hypothesis_n 34_o degree_n 25_o minute_n which_o be_v subduct_v out_o of_o the_o longitude_n which_o arcturus_n have_v anno_fw-la domi._n 1600._o leaf_n his_o longitude_n for_o the_o year_n before_o christ_n 830._o â™_o 14._o degree_n 14._o minute_n his_o latitude_n be_v then_o and_o ever_o 31.02_o minute_n now_o from_o this_o longitude_n and_o latitude_n i_o get_v his_o right_a ascension_n and_o declination_n by_o chap._n 34._o of_o this_o book_n where_o i_o find_v ascension_n 180._o degree_n declination_n north_n 34._o degree_n 15_o minute_n those_o have_v i_o
and_o mars_n in_o twain_o set_v forward_o and_o come_v round_o again_o then_o in_o one_o year_n the_o sun_n display_v three_o hundred_o sixty_o and_o five_o day_n and_o near_o a_o quarter_n which_o in_o four_o encompassing_n make_v one_o day_n more_o between_o the_o sun_n and_o we_o there_o fly_v fair_a venus_n and_o swift_a mercury_n these_o always_o near_o the_o sun_n we_o find_v not_o far_o before_o nor_o far_o behind_o the_o moon_n be_v the_o low_a who_o in_o seven_o and_o twenty_o day_n go_v round_o the_o heaven_n and_o above_o two_o day_n more_o do_v run_v before_o she_o overtake_v the_o sun_n so_o twenty_o nine_o and_o a_o half_a in_o all_o do_v make_v a_o month_n synodical_a these_o planet_n make_v their_o course_n to_o the_o east_n though_o they_o be_v fast_o hurl_v west_n and_o six_o degree_n the_o rest_n may_v stray_v beside_o the_o sun_n ecliptic_a way_n the_o circle_n of_o the_o sphere_n fix_v great_a circle_n mark_v you_o shall_v which_o equal_o divide_v this_o ball._n just_o in_o the_o midst_n between_o the_o pole_n from_o east_n to_o west_n the_o equator_fw-la roll_n the_o ecliptic_a cut_v he_o and_o do_v slide_v scarce_o twenty_o four_o degree_n aside_o horizon_n even_o with_o the_o ground_n from_o star_n below_o our_o sight_n do_v bind_v meridian_n upright_o do_v rise_v part_v the_o east_n and_o western_a sky_n two_o colour_n through_o the_o pole_n do_v run_v quarr_v the_o circle_n of_o the_o sun_n one_o where_o the_o spring_n and_o fall_v begin_v the_o other_o where_o long_a day_n come_v in_o four_z lesser_a circle_n mark_v they_o well_o be_v to_o the_o equator_fw-la parallel_n two_o tropique_n bind_v the_o sun_n high_a way_n show_v the_o long_a and_o short_a day_n the_o arctique_a circle_n cur_n the_o bear_n the_o antarctique_a opposite_a appear_v meridian_n half_n twenty_o four_o for_o hour_n and_o for_o degree_n ninescore_o through_o both_o the_o pole_n of_o the_o world_n do_v pass_v and_o the_o equinoctial_a down_o right_a cross_n and_o ninescore_o parallel_n have_v that_o line_n by_o which_o star_n north_n and_o south_n decline_v the_o ecliptic_a have_v his_o longitude_n and_o parallel_n of_o latitude_n for_o star_n but_o in_o geography_n the_o town_n beside_o the_o equator_fw-la lie_n over_o our_o head_n and_o under_o foot_n the_o ninescore_o azimuth_n do_v meet_v and_o here_o as_o many_o parallel_n of_o altitude_n horizon_n tell_v longitude_n and_o meridian_n all_o and_o azimuth_n great_a circle_n call_v but_o all_o their_o parallel_n in_o heaven_n be_v lesser_a cut_v the_o globe_n uneven_a degree_n three_o hundred_o and_o threescore_o have_v every_o circle_n and_o no_o more_o when_o i_o consider_v thy_o heaven_n the_o work_n of_o thy_o finger_n the_o moon_n and_o the_o star_n which_o thou_o have_v ordain_v what_o be_v man_n that_o thou_o be_v mindful_a of_o he_o or_o the_o son_n of_o man_n that_o thou_o visite_a he_o ps_n 8._o errata_fw-la some_o fault_n have_v be_v commit_v between_o the_o writer_n and_o the_o printer_n the_o chief_n whereof_o the_o reader_n be_v desire_v to_o amend_v as_o follow_v pag._n and_o line_n fault_n amendment_n 2_o 3_o 4._o etc._n etc._n to_o pag._n 30._o in_o the_o title_n the_o first_o book_n of_o the_o fabric_n of_o the_o planisphere_n the_o first_o book_n of_o the_o fabric_n of_o the_o planisphear_n 31_o and_o 32._o in_o the_o title_n the_o second_o book_n of_o the_o projection_n of_o the_o sphere_n the_o second_o book_n of_o the_o projection_n of_o the_o sphere_n 1._o 13._o mossy_a massy_a 2._o 7._o declination_n delineation_n 3._o ant_n declination_n delineation_n 4._o 16._o look_v up_o look_v upon_o 4._o 36._o eye_n beam_n eye-beame_n 5._o 13._o euclid_n 4_o 5._o euclid_n 4.5_o 22._o require_v of_o your_o compass_n over_o reach_n require_v if_o your_o compass_n reach_v short_a 5._o 23._o if_o it_o reach_v short_a if_o it_o overreach_v 6._o 39_o structure_n structure_n 8._o secant_fw-la 67._o 25693._o 25593._o  _fw-fr the_n 5._o last_o tangent_n want_v a_o place_n you_o must_v add_v a_o cypher_n to_o each_o of_o they_o 9_o 16._o two_o so_o 12._o 18._o all_o but_o all_o but_o 13._o 07._o work_v it_o work_v it_o 16._o 19_o four_o few_o 17._o 18._o alamath_n alamach_n 21._o henerichus_n heniochus_n 17._o antop_n little_a rain_n little_a wain_n 18._o 8._o brow_n crown_n 18._o 30._o praecepe_o praesepe_v 19_o 16._o bedalgieure_fw-fr bedalgieuze_fw-fr 23._o alhaber_n alhabor_n 20._o 6._o round_o the_o inner_a circle_n or_o edge_n of_o this_o ring_n it_o must_v round_o the_o inner_a circle_n or_o edge_n of_o this_o ring_n must_v 20._o 14._o nail_n screw_v male_a screw_n 17._o small_a screw_n female_a screw_n 19_o bare_a bear_v 22._o 30._o be_v make_v and_o go_v for_o that_o year_n your_o scale_n be_v make_v and_o so_o for_o that_o year_n your_o scale_n 24._o 9_o but_o one_o degree_n but_o for_o one_o degree_n 25._o 7._o  _fw-fr put_v out_o the_o mark_n of_o parenthesis_n 26._o 8_o year_n henr._n 3._o year_n of_o henr_n 3_o 23._o periodus_fw-la periodus_fw-la 28._o always_o upon_o always_o upon_o 35._o thus_o set_v thus_o set_v 28._o 1._o and_o 5._o grostons_n graston_n 30._o 3_o second_o meridional_a second_o or_o the_o meridional_a 33_o 6._o set_v for_o london_n namely_o for_o london_n 33._o â—1_n on_o elevation_n no_o elevation_n 34._o â—â—_o 〈◊〉_d the_o which_o the_o 9_o azimuth_n azimuthe_n 37._o 6._o the_o eye_n place_v the_o eye_n be_v place_v 41._o 3._o centre_n b_o a_o centre_n b_o a_o 48._o 4._o either_o way_n either_o way_n 22._o a_o c_o c_o a_o 50._o 16._o zenith_n of_o zenith_n of_o 32._o zenith_n and_o b_o zenith_n a_n and_o b_o 53._o 12._o 12_o and_o 13_o number_n 12_o and_o 13_o number_v 56._o 8._o these_o side_n the_o side_n 20._o subâ—endeth_v a_o which_o subâ—endeth_v a_o 62._o 17._o fall_n fall_v 63._o 7_o 9_o way_n ray_n ult_n of_o deleatur_fw-la 64._o 10._o min._n at_o 70_o min._n and_o at_o 70_o 11._o between_o 8_o degr_n 34._o min._n between_o 18_o and_o 24_o min._n 12._o here_o refraction_n be_v as_o the_o sun_n her_o refraction_n be_v as_o the_o sun_n be_v 65_o 1._o your_o meridian_n your_o meridian_n 66._o 30._o require_v inquire_v 67._o 3._o michal_n michael_n 68_o 39_o long_o long_o 73._o 6_o chap._n two_o chap_n xi_o 74._o 20._o alrucabe_n alrucaba_n 75._o 8._o alrucabe_n alrucaba_n 75._o 12._o first_o make_v first_o mode_n 76._o 29._o prick_v here_o prick_v here_o 8â—_n 16_o 17._o by_o declin_n by_o their_o declin_n 82._o 12._o her_o declin_n his_o declin_n antep_n sta_fw-la star_n 86._o 16_o 17_o 18_o 19_o pleyade_n rise_v set_v pleiades_n rise_v set_v 86._o 30._o to_o be_v least_o to_o be_v lose_v 87._o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 88_o 4._o can_v happen_v can_v not_o happen_v â—_o 14._o note_n know_v 17._o asera_n asera_n 91._o â—1_n duet_n deut._n 99_o 21._o 23_o degree_n 23_o degree_n 102._o 6_o and_o 30._o eniph_n alph._n eniph_n alph._n 23._o 35_o â…“_n 56_o â…“_n 105._o 8._o star_n i_o star_n i_o â—_o caeti_fw-la ceti_fw-la 19_o 120_o deg_fw-la 125_o degr_n 110._o pen._n by_o oblique_a problem_n by_o probl_n 2_o obliqu_n 111._o 25._o in_o 39_o ½_n in_o all_o 39_o ½_n 114._o 17._o agree_v set_v agree_v set_v 11._o house_n also_o house_n also_o 31._o 49_o 30_o 50_o 51._o 118._o 6_o 7._o 49_o 50_o 50_o 51._o 24._o and_o so_o and_o to_o 119._o 1_o astrologer_n astrology_n 17._o futurus_fw-la futurus_fw-la 122._o 29._o no_o man_n no_o man_n 123._o 3._o princeps_fw-la nero_n princeps_fw-la nero_n 4._o citherae_fw-la citharae_fw-la 10._o dereliquit_fw-la nero_n dereliquit_fw-la nero_n 12._o persuesum_fw-la persuasum_fw-la 27._o se_z nore_z temerè_fw-la 128._o 26._o as_o by_o and_o by_o 29._o set_v go_v set_v therefore_o 130._o 34._o jupiter_n in_o that_o meridian_n jupiter_n in_o that_o meridian_n 139._o 6._o christ_n time_n christ_n time_n 17._o ticius_n tacitus_n 141._o 6._o 4_o 5._o 11._o 4._o 5_o 11._o 145._o 13._o sun_n dial_n sun_n dial_n 147._o 5._o or_o equinoctial_a deleatur_fw-la 19_o so_o the_o hour_n line_n to_o the_o hour-line_n 154._o in_o the_o scheam_n the_o letter_n i_o be_v want_v at_o the_o low_a end_n of_o the_o hour-line_n of_o 11._o  _fw-fr 157._o 17._o with_o a_o extension_n with_o any_o extension_n 174._o 32._o precrucem_fw-la per_fw-la crucem_fw-la 176._o 11._o by_o the_o arch_n by_o r_n t_o the_o arch_n 180._o 9_o declination_n plain_a decline_v plain_a 181._o 20._o pray_fw-mi per_fw-la 184._o 27._o the_o vertical_a of_o my_o dial_n and_o also_o deleatur_fw-la 185._o 28._o and_o so_o and_o to_o 188._o 9_o tumiture_fw-fr furniture_n 190._o 7._o you_o use_v you_o may_v use_v 192._o in_o the_o scheme_n the_o prick_a line_n last_o save_o one_o shall_v be_v put_v out_o  _fw-fr 193._o of_o it_o a_o vertical_a plain_n a_o vertical_a or_o a_o south_n horizontal_n
give_v to_o find_v in_o what_o coast_n any_o star_n be_v and_o how_o much_o he_o be_v distant_a from_o the_o horizon_n or_o meridian_n lay_v the_o sun_n place_n to_o the_o hour_n give_v in_o the_o equinoctial_a projection_n then_o may_v you_o present_o see_v all_o the_o star_n of_o the_o reet_n in_o what_o coast_n they_o be_v whether_o under_o the_o horizon_n or_o above_o and_o how_o many_o hour_n they_o lack_v or_o be_v past_o either_o the_o horizon_n or_o meridian_n example_n sit_v within_o door_n at_o seven_o of_o the_o clock_n on_o christmas_n day_n at_o night_n i_o desire_v to_o know_v what_o star_n be_v rise_v and_o what_o near_o the_o meridian_n wherefore_o lay_v ♑_o 14._o to_o 7._o of_o the_o clock_n afternoon_n i_o see_v in_o the_o reet_a the_o ram_n horn_n a_o little_a past_a south_n the_o plaiade_n want_v 1._o hour_n 28._o minute_n of_o south_n as_o the_o label_n show_v i_o in_o the_o limb_n ♌_o be_v rise_v but_o cor_n ♌_o not_o yet_o up_o i_o will_v know_v now_o what_o he_o want_v of_o rise_v therefore_o i_o turn_v forward_o the_o reet_n till_o cor_n ♌_o come_n to_o the_o horizon_n and_o observe_v how_o many_o degree_n of_o the_o reet_n pass_v under_o the_o label_n or_o by_o any_o point_n of_o the_o limb_n while_o the_o reet_n turn_v and_o i_o find_v that_o ♈_o 0_o and_o so_o any_o other_o point_n move_v on_o in_o the_o limb_n 10_o degree_n in_o the_o while_n that_o cor_n ♌_o be_v come_v to_o the_o horizon_n whereupon_o i_o understand_v that_o he_o will_v rise_v 40_o minute_n after_o chap._n xxxi_o the_o time_n and_o latitude_n give_v to_o find_v the_o altitude_n and_o azimuth_n of_o any_o star_n and_o thereby_o to_o get_v the_o knowledge_n of_o the_o star_n find_v the_o hour_n of_o the_o star_n by_o the_o former_a chapter_n and_o by_o the_o label_n observe_v his_o declination_n then_o set_v your_o planisphear_n in_o the_o meridional_a projection_n and_o in_o the_o parallel_n of_o the_o star_n declination_n number_n his_o hour-distance_n from_o the_o south_n where_o the_o number_n end_v set_v a_o needle_n point_n there_o be_v the_o place_n of_o the_o star_n and_o the_o almicantar_n and_o azimuth_n that_o cut_v he_o there_o show_v your_o desire_n example_n i_o will_v know_v the_o cloudy_a star_n praesepe_v in_o the_o breast_n of_o cancer_n which_o indeed_o be_v a_o glimmer_a light_n make_v up_o of_o five_o small_a and_o bright_a star_n as_o by_o the_o telescope_n appearech_v this_o praesepe_n i_o find_v by_o the_o last_o chapter_n to_o want_v 6._o hour_n 21._o min._n of_o south_n his_o declination_n find_v by_o the_o label_n be_v 21._o degree_n north._n therefore_o set_v the_o finiter_n to_o our_o latitude_n 52_o ¼_n i_o follow_v the_o 21._o parallel_v of_o north_n declination_n from_o the_o meridian_n till_o i_o come_v 5_o degree_n 15_o minute_n past_o the_o axletree_n because_o i_o find_v he_o 6_o hour_n 21_o minute_n before_o the_o meridian_n there_o the_o 17_o azimuth_n from_o the_o east_n northward_o cut_v the_o parallel_n of_o praesepe_n and_o there_o cut_v he_o also_o the_o 13_o almicantar_n now_o to_o find_v he_o out_o i_o lay_v my_o planisphear_n horizontal_o set_v the_o meridian_n of_o my_o planisphear_n in_o the_o meridian_n of_o the_o place_n by_o chap._n 3_o and_o 4._o and_o i_o turn_v my_o label_n and_o sight_n to_o the_o azimuth_n of_o praesepe_n 17_o degree_n from_o the_o east_n northward_o and_o before_o my_o sight_n i_o hang_v up_o a_o plumb-line_n upon_o a_o pole_n to_o keep_v the_o azimuth_n then_o keep_v my_o station_n i_o set_v my_o planisphear_n upon_o his_o edge_n or_o hang_v he_o upon_o a_o staff_n with_o a_o socket_n in_o the_o azimuth_n of_o the_o star_n so_o that_o the_o plumbet_n show_v altitude_n 13_o degree_n by_o chap._n 1_o then_o do_v the_o sight_n point_v just_a upon_o praesepe_n and_o will_v teach_v i_o the_o star_n if_o i_o do_v not_o know_v he_o before_o chap._n xxxii_o the_o latitude_n of_o the_o place_n the_o declination_n of_o a_o star_n with_o his_o altitude_n or_o azimuth_n give_v to_o find_v both_o the_o hour_n of_o the_o star_n and_o the_o hour_n of_o the_o night_n by_o this_o chapter_n you_o may_v find_v the_o time_n of_o night_n at_o any_o time_n by_o any_o star_n if_o he_o be_v visible_a above_o the_o horizon_n use_v the_o first_o mode_n of_o the_o meridional_a projection_n and_o have_v observe_v the_o altitude_n or_o azimuth_n of_o the_o star_n look_v where_o that_o altitude_n or_o azimuth_n cut_v the_o parallel_n of_o the_o star_n declination_n there_o cut_v also_o a_o meridian_n which_o show_v the_o hour_n of_o the_o star_n that_o be_v the_o distance_n of_o a_o star_n from_o the_o meridian_n in_o hour_n and_o minute_n and_o by_o this_o hour_n of_o the_o star_n to_o get_v the_o hour_n of_o the_o night_n you_o shall_v place_v the_o star_n at_o the_o hour_n find_v in_o the_o equinoctial_a projection_n which_o do_v the_o label_n lay_v to_o the_o place_n of_o the_o sun_n shall_v show_v the_o hour_n of_o the_o night_n in_o the_o limb._n example_n december_n 25._o i_o observe_v procyon_n to_o be_v full_a east_n his_o declination_n north_n be_v 6_o degree_n 3_o minute_n in_o the_o meridional_a projection_n i_o look_v where_o the_o axis_n of_o the_o reet_n which_o be_v the_o east_n azimuth_n cut_v the_o six_o of_o the_o north_n parallel_n and_o i_o find_v the_o intersection_n 1_o degree_n southward_o from_o the_o axtree_n of_o the_o mater_n or_o hour-line_n of_o six_o there_o also_o cut_v the_o 5_o ½_n almicantar_n which_o show_v more_o than_o i_o seek_v that_o procyon_n be_v 5_o degree_n 30_o minute_n above_o the_o horizon_n now_o have_v the_o hour_n of_o the_o star_n 6_o hour_n 4_o minute_n before_o the_o meridian_n i_o take_v the_o equinoctial_a projection_n and_o have_v lay_v the_o label_n one_o degree_n from_o oriens_fw-la southward_o in_o the_o limb_n i_o turn_v procyon_n to_o the_o label_n which_o show_v his_o hour_n 6_o hour_n 4_o minute_n and_o leave_v he_o there_o i_o turn_v away_o the_o label_n to_o ♑_o 14_o the_o sun_n place_n and_o it_o show_v i_o in_o the_o limb_n the_o time_n of_o night_n 6_o hour_n 26_o min._n past_o noon_n and_o the_o same_o i_o may_v have_v find_v if_o instead_o of_o his_o azimuth_n i_o have_v observe_v his_o altitude_n 5_o degree_n ½_n the_o cross_v of_o that_o almicantar_n which_o the_o 6_o parallel_n will_v have_v give_v i_o the_o same_o hour_n of_o the_o star_n and_o further_o his_o azimuth_n undesired_a chap._n xxxiii_o your_o latitude_n know_v and_o the_o altitude_n and_o azimuth_n of_o any_o star_n planet_n or_o comet_n observe_v and_o the_o time_n of_o night_n how_o to_o find_v his_o right_a ascension_n and_o declination_n this_o case_n differ_v little_a from_o the_o case_n of_o chapter_n 26._o where_o from_o the_o same_o thing_n give_v the_o declination_n and_o hour_n be_v require_v for_o the_o hour_n and_o right_a ascension_n be_v in_o a_o sort_n the_o same_o thing_n only_o the_o account_n of_o the_o right_a ascension_n begin_v always_o at_o ♈_o 0._o and_o be_v make_v in_o degree_n and_o minute_n of_o a_o degree_n the_o account_n of_o the_o hour_n begin_v at_o the_o meridian_n and_o be_v make_v in_o hour_n and_o minute_n of_o a_o hour_n fifteen_o whole_a degree_n make_v a_o hour_n and_o consequent_o 15_o minute_n of_o a_o degree_n make_v one_o minute_n of_o time_n for_o in_o every_o minute_n of_o time_n there_o pass_v the_o meridian_n a_o quarter_n of_o a_o degree_n of_o the_o equinoctial_a the_o time_n of_o night_n be_v here_o further_o require_v to_o be_v give_v which_o may_v be_v have_v by_o chap_n 29._o or_o 32._o the_o rule_n when_o you_o observe_v the_o altitude_n and_o azimuth_n of_o the_o star_n observe_v also_o the_o time_n of_o night_n by_o chapter_n 29._o or_o 32._o and_o to_o save_v you_o labour_v herein_o you_o shall_v do_v best_a to_o observe_v your_o altitude_n and_o azimuth_n when_o some_o know_a star_n be_v see_v just_a in_o the_o meridian_n then_o with_o your_o latitude_n and_o the_o altitude_n and_o azimuth_n of_o the_o star_n get_v by_o chapter_n 26._o the_o declination_n and_o hour_n of_o the_o star_n then_o in_o the_o equinoctial_a projection_n lay_v the_o degree_n of_o the_o sun_n to_o the_o hour_n of_o the_o night_n thence_o turn_v the_o label_n to_o the_o hour_n of_o the_o star_n and_o you_o have_v his_o right_a ascension_n in_o the_o limb_n of_o the_o reet_n between_o ♈_o 0_o and_o the_o label_n example_n put_v case_n i_o will_v find_v the_o declination_n and_o right_a ascension_n of_o lucida_n pleiadum_fw-la the_o sun_n be_v in_o sagittarius_fw-la 20._o december_n 2._o i_o observe_v that_o when_o australis_fw-la caudae_fw-la caeti_fw-la be_v full_a south_n lucida_n pleiadum_fw-la be_v near_o southeast_n viz._n in_o the_o azimuth_n