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why_o if_o she_o be_v in_o her_o course_n from_o her_o table_n first_o quarter_n to_o her_o full_a or_o from_o her_o last_o quarter_n to_o her_o conjunction_n we_o must_v add_v always_o six_o hour_n to_o the_o elongation_n which_o our_o calculation_n or_o the_o table_n give_v it_o be_v because_o the_o say_a elongation_n be_v only_o the_o precise_a time_n of_o her_o departure_n from_o her_o last_o cardinal_n point_n whereas_o if_o she_o be_v pass_v she_o first_o quarter_n in_o her_o journey_n towards_o her_o full_a she_o be_v so_o much_o and_o six_o hour_n more_o i._n e._n so_o much_o and_o the_o six_o hour_n which_o happen_v from_o her_o conjunction_n
to_o her_o first_o quarter_n now_o in_o rigour_n we_o shall_v add_v twelve_o hour_n to_o the_o elongation_n we_o find_v when_o she_o be_v go_v from_o her_o full_a towards_o her_o last_o quarter_n but_o see_v she_o be_v in_o the_o plane_n of_o the_o same_o hour-circle_n or_o very_a near_o it_o both_o at_o full_a and_o in_o conjunction_n therefore_o the_o bare_a add_v the_o say_v simple_a elongation_n will_v serve_v as_o well_o in_o one_o case_n as_o in_o the_o other_o for_o if_o the_o full_a moon_n at_o suppose_v 2_o of_o the_o clock_n at_o night_n cast_v real_o her_o shadow_n on_o the_o hour-circle_n of_o 2_o in_o the_o afternoon_n yet_o there_o be_v no_o need_n of_o hint_n the_o thing_n be_v so_o plain_a to_o prevent_v your_o mistake_a day_n for_o night_n the_o like_a also_o be_v to_o be_v say_v of_o the_o last_o quarter_n who_o elongation_n shall_v be_v in_o truth_n eighteen_o hour_n but_o the_o additional_a six_o hour_n as_o we_o allow_v she_o after_o her_o first_o quarter_n be_v 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day_n journey_n during_o that_o quarter_n this_o then_o be_v the_o sum_n of_o the_o whole_a business_n nor_o need_v you_o trouble_v yourself_o with_o any_o other_o reflection_n unless_o it_o be_v to_o add_v six_o hour_n as_o i_o already_o say_v to_o the_o elongation_n in_o case_n she_o be_v go_v from_o her_o first_o quarter_n to_o her_o full_a or_o from_o her_o last_o to_o her_o conjunction_n and_o to_o conclude_v take_v notice_n that_o the_o hour_n if_o you_o see_v the_o moon_n may_v be_v as_o well_o find_v by_o day_n as_o by_o night_n for_o her_o place_n on_o the_o globe_n which_o the_o three_o 49._o operation_n show_v how_o to_o find_v be_v always_o the_o true_a lunar_a hour_n table_n of_o the_o diurnal_a elongation_n of_o the_o moon_n from_o the_o sun_n whether_o she_o go_v in_o 6½_n 7_o 7½_n or_o 8_o day_n from_o one_o cardinal_n point_n to_o the_o other_o 6._o ½_o days_n card._n point_n 0._o day_n from_o her_o cardinal_n point_n 0._o hor._n 0._o min._n elongation_n 1._o day_n from_o her_o cardinal_n point_n 0._o hor._n 55._o ½_o min._n elongation_n 2._o day_n from_o her_o cardinal_n point_n 1._o hor._n 51._o min._n elongation_n 3._o day_n from_o her_o cardinal_n point_n 2._o hor._n 46._o ½_o min._n elongation_n 4._o day_n from_o her_o cardinal_n point_n 3._o hor._n 42._o min._n elongation_n 5._o day_n from_o her_o cardinal_n point_n 4._o hor._n 37._o ½_o min._n elongation_n 6._o day_n from_o her_o cardinal_n point_n 5._o hor._n 33._o min._n elongation_n 6½_n day_n from_o her_o cardinal_n point_n 6._o hor._n 0._o min._n elongation_n 7._o day_n card._n point_n 0._o day_n from_o her_o cardinal_n point_n 0_o hor._n 0._o min._n elongation_n 1._o day_n from_o her_o cardinal_n point_n 0._o hor._n 51._o ½_o min._n elongation_n 2._o day_n from_o her_o cardinal_n point_n 1._o hor._n 43._o min._n elongation_n 3._o day_n from_o her_o cardinal_n point_n 2._o hor._n 34._o ½_o min._n elongation_n 4._o day_n from_o her_o cardinal_n point_n 3._o hor._n 26._o min._n elongation_n 5._o day_n from_o her_o cardinal_n point_n 4._o hor._n 17._o ½_o min._n elongation_n 6._o day_n from_o her_o cardinal_n point_n 5._o hor._n 9_o min._n elongation_n 7._o day_n from_o her_o cardinal_n point_n 6._o hor._n 0._o min._n elongation_n 7_o ½_o day_n card._n point_n 0._o day_n from_o her_o cardinal_n point_n 0._o hor._n 0._o min._n elongation_n 1._o day_n from_o her_o cardinal_n point_n 0._o hor._n 48._o min._n elongation_n 2._o day_n from_o her_o cardinal_n point_n 1._o hor._n 36._o min._n elongation_n 3._o day_n from_o her_o cardinal_n point_n 2._o hor._n 24._o min._n elongation_n 4._o day_n from_o her_o cardinal_n point_n 3._o hor._n 12._o min._n elongation_n 5._o day_n from_o her_o cardinal_n point_n 4._o hor._n 0._o min._n elongation_n 6._o day_n from_o her_o cardinal_n point_n 4._o hor._n 48._o min._n elongation_n 7._o day_n from_o her_o cardinal_n point_n 5._o hor._n 36._o min._n elongation_n 7½_n day_n from_o her_o cardinal_n point_n 6._o hor._n 0._o min._n 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set_v which_o happen_v in_o the_o example_n to_o be_v about_o eight_o hour_n and_o forty_o two_o minute_n for_o the_o one_o and_o four_o hour_n and_o fifty_o minute_n for_o the_o other_o it_o must_v follow_v have_v find_v the_o true_a hour_n to_o be_v within_o four_o minute_n of_o five_o at_o night_n that_o she_o rise_v about_o eight_o and_o fourteen_o minute_n in_o the_o morning_n and_o will_v set_v at_o nine_o and_o forty_o six_o minute_n at_o night_n operation_n x._o to_o find_v how_o long_o the_o moon_n shine_v every_o night_n have_v find_v by_o the_o precedent_a operation_n that_o the_o moon_n set_v at_o 9_o and_o 46_o minute_n at_o night_n and_o that_o the_o sun_n by_o the_o 12_o of_o the_o first_o 16._o section_n set_v the_o same_o day_n suppose_v the_o 8_o of_o february_n at_o 5_o in_o the_o evening_n it_o will_v follow_v that_o she_o shine_v four_o hour_n and_o 46_o minute_n operation_n xi_o to_o find_v when_o the_o moon_n come_v to_o south_n and_o consequent_o when_o it_o 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and_o azimuth_n all_o along_o as_o you_o may_v see_v in_o the_o 49._o operation_n that_o concern_v they_o operation_n xiii_o to_o represent_v the_o several_a phase_n or_o shape_v of_o the_o moon_n by_o the_o globe_n this_o be_v rather_o a_o speculation_n than_o a_o operation_n nor_o shall_v i_o have_v mention_v it_o be_v it_o not_o that_o several_a who_o know_v something_o in_o mathematics_n can_v comprehend_v the_o cause_n of_o the_o moon_n be_v continual_a metamorphosis_n or_o change_n that_o be_v to_o say_v why_o she_o shall_v be_v now_o more_o now_o less_o illuminate_v and_o that_o also_o in_o so_o different_a a_o shape_n and_o manner_n to_o comprehend_v therefore_o this_o expose_v your_o globe_n elevate_v on_o a_o stand_n or_o a_o table_n as_o high_a as_o your_o eye_n to_o the_o sun_n or_o moon_n and_o place_n yourself_o so_o before_o it_o as_o to_o see_v the_o whole_a illuminate_v half_o for_o as_o to_o sense_n the_o illuminate_v and_o shady_a part_n of_o all_o sphere_n be_v as_o 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she_o shine_v out_o right_a and_o consequent_o cast_v a_o shade_n or_o appear_v only_o faint_a and_o wan_a by_o reason_n of_o thin_a cloud_n or_o by_o the_o excess_n of_o light_n during_o the_o sun_n abode_n above_o the_o horizon_n let_v we_o then_o begin_v with_o her_o almucantar_n and_o azimuth_n as_o be_v the_o basis_n and_o foundation_n of_o all_o operation_n here_o relate_v to_o she_o nor_o can_v there_o be_v the_o least_o difficulty_n in_o any_o of_o they_o unless_o perchance_o in_o the_o seven_o since_o they_o have_v so_o great_a a_o correspondence_n and_o affinity_n with_o those_o already_o handle_v in_o the_o former_a section_n operation_n i._o to_o find_v the_o moon_n be_v almucantar_n or_o height_n this_o be_v to_o be_v perform_v as_o well_o when_o she_o cast_v a_o shade_n as_o when_o she_o cast_v none_o by_o the_o two_o first_o way_n of_o find_v the_o sun_n almucantar_n and_o therefore_o consult_v the_o 5._o second_o operation_n in_o the_o first_o section_n operation_n ii_o 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she_o be_v day_n old_a for_o the_o table_n make_v in_o pursuance_n of_o this_o rule_n suppose_v she_o always_o on_o the_o 15_o of_o her_o age_n to_o be_v at_o full_a which_o may_v happen_v as_o i_o now_o mention_v not_o only_o much_o soon_o but_o also_o much_o late_a so_o that_o most_o common_o her_o true_a age_n and_o the_o say_a table_n be_v at_o variance_n nay_o when_o they_o agree_v there_o can_v be_v no_o reliance_n on_o they_o see_v that_o if_o v._n g._n at_o 6_o they_o show_v tolerable_o what_o a_o clock_n it_o be_v yet_o by_o 12_o there_o may_v happen_v a_o error_n of_o near_a a_o quarter_n by_o reason_n that_o she_o be_v every_o moment_n at_o a_o new_a distance_n from_o the_o sun_n and_o at_o one_o also_o which_o present_o become_v very_o sensible_a thus_o therefore_o we_o see_v that_o there_o must_v be_v exception_n and_o restriction_n in_o any_o one_o rule_n that_o appertain_v to_o this_o business_n nor_o be_v it_o to_o be_v perform_v by_o a_o instrument_n in_o a_o trice_n as_o the_o operation_n common_o be_v belong_v to_o the_o star_n that_o have_v a_o regular_a motion_n or_o to_o the_o sun_n who_o extravagance_n be_v not_o soon_o perceptible_a i_o say_v thus_o we_o see_v that_o there_o must_v be_v here_o exception_n and_o restriction_n and_o in_o truth_n nothing_o but_o a_o down_o right_o astronomical_a calculation_n can_v real_o perform_v it_o yet_o since_o such_o a_o critical_a exactness_n in_o the_o hour_n be_v never_o necessary_a in_o our_o ordinary_a affair_n i_o shall_v propose_v this_o method_n which_o will_v at_o least_o come_v always_o very_a near_o the_o mark._n when_o you_o desire_v to_o know_v what_o a_o clock_n it_o be_v by_o the_o moon_n operate_v take_v a_o almanac_n for_o if_o you_o will_v only_o have_v her_o true_a age_n you_o must_v recur_v to_o one_o or_o to_o something_o analogical_a and_o reckon_v therein_o how_o many_o day_n there_o be_v in_o the_o present_a quarter_n from_o one_o change_n to_o the_o other_o i_o e._n from_o new_a moon_n to_o her_o first_o quarter_n or_o from_o her_o first_o quarter_n to_o her_o full_a and_o so_o on_o for_o i_o call_v any_o of_o these_o four_o aspect_n a_o cardinal_n point_n or_o change_v and_o the_o whole_a time_n between_o one_o change_n and_o the_o other_o a_o quarter_n i_o say_v reckon_v how_o many_o day_n there_o be_v in_o the_o then_o quarter_n and_o you_o will_v find_v either_o 6½_n or_o 7_o or_o 7½_n or_o 8_o so_o that_o if_o the_o number_n be_v 6½_n her_o elongation_n from_o the_o sun_n be_v 55_o minute_n and_o ½_o per_fw-la diem_fw-la if_o 7_o day_n 51′½_n if_o 7_o day_n and_o half_a 48′_n and_o last_o if_o 8_o day_n 48′_n i_o mean_v not_o nevertheless_o that_o from_o change_n to_o change_v there_o maynot_v sometime_o
the_o day_n but_o by_o construction_n all_o the_o hour-line_n be_v thus_o draw_v on_o the_o ceiling_n and_o consequent_o be_v exact_o over_o the_o suppose_a one_o on_o the_o floor_n ergo_fw-la the_o reflext_a ray_n from_o g_z must_v as_o true_o show_v you_o the_o hour_n above_o as_o the_o direct_a ray_n below_o for_o both_o ray_n be_v ever_o in_o the_o same_o plane_n nor_o be_v there_o to_o be_v any_o real_a difference_n in_o the_o operation_n though_o southward_o the_o chamber-window_n shall_v look_v another_o way_n for_o you_o be_v only_o to_o remember_v that_o whilst_o it_o enjoy_v the_o least_o point_n of_o south_n the_o centre_n of_o your_o dial_n be_v without_o the_o chamber_n when_o it_o look_v full_a east_n or_o west_n it_o be_v in_o the_o side_n or_o edge_n of_o it_o and_o when_o it_o verge_n northward_o it_o be_v altogether_o within_o so_o that_o in_o a_o full_a southern_a aspect_n the_o say_a centre_n will_v be_v most_o abroad_o and_o in_o a_o full_a northern_a one_o the_o 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efficatious_o or_o make_v we_o more_o master_n of_o our_o rule_n than_o a_o practical_a example_n the_o say_a dial_n show_v as_o follow_v 1._o the_o hour_n with_o we_o at_o all_o time_n 2._o the_o hour_n in_o what_o other_o country_n you_o please_v 3._o the_o sun_n place_n in_o each_o sign_n 4._o the_o day_n of_o the_o month._n 5._o the_o time_n of_o the_o sun_n be_v rise_v and_o set_v 6._o the_o sun_n amplitude_n 7._o the_o sun_n height_n 8._o the_o sun_n azimuth_n 9_o the_o sun_n be_v bear_v according_o to_o the_o point_n of_o the_o compass_n 10._o the_o proportion_n between_o perpendicular_o and_o their_o shadow_n and_o consequent_o the_o height_n of_o any_o tower_n or_o the_o like_a to_o make_v then_o this_o dial_n you_o must_v first_o describe_v a_o horizontal_n home_n as_o in_o sch._n 41._o about_o a_o foot_n in_o diameter_n and_o let_v b_o the_o centre_n of_o the_o plane_n be_v the_o point_n where_o a_o erect_a or_o upright_o style_v according_a to_o our_o direction_n in_o the_o 73._o first_o horizontal_n show_v you_o with_o its_o top_n the_o hour_n now_o because_o the_o shade_n of_o a_o upright_o style_n unless_o it_o be_v very_o short_a will_v present_o fall_v out_o of_o the_o plane_n as_o well_o in_o the_o morning_n as_o towards_o night_n therefore_o it_o will_v be_v convenient_a to_o have_v your_o cock_n or_o style_n make_v so_o that_o ab_fw-la the_o perpendicular_a or_o forepart_n of_o it_o as_o in_o scheme_n 42._o shall_v stand_v at_o b_o the_o say_a centre_n of_o the_o plane_n to_o represent_v this_o upright_a style_n and_o its_o angle_n aob_n at_o o_o the_o centre_n of_o the_o dial_n or_o point_v from_o whence_o all_o the_o hour-line_n be_v draw_v for_o thus_o the_o side_n oa_n make_v with_o the_o meridian_n line_n at_o o_o the_o angle_n of_o the_o elevation_n represent_v the_o axis_n of_o the_o world_n and_o consequent_o cast_v its_o shadow_n on_o the_o hour-line_n as_o the_o usual_a cock_n of_o all_o horizontal_n dial_n do_v place_n 2._o have_v choose_v all_o the_o place_n which_o you_o desire_v from_o time_n to_o time_n to_o know_v what_o a_o clock_n it_o be_v at_o consider_v well_o your_o globe_n and_o find_v under_o what_o hour-circle_n the_o say_v place_n lie_v as_o for_o example_n suppose_v rome_n lie_v under_o the_o 11_o a_o clock_n hour-circle_n constantinople_n under_o that_o of_o 10_o aleppo_n 9_o etc._n etc._n place_v therefore_o the_o say_a town_n towards_o the_o limb_n of_o your_o dial_n under_o the_o correspond_v hour-line_n and_o you_o will_v constant_o know_v the_o time_n of_o the_o day_n in_o the_o say_a place_n for_o call_v it_o always_o noon_n at_o each_o place_n you_o seek_v after_o you_o have_v nothing_o to_o do_v but_o to_o count_v the_o hour_n from_o thence_o to_o the_o shade_n of_o the_o style_n as_o v_o g._n if_o it_o be_v 4_o a_o clock_n with_o you_o in_o the_o afternoon_n and_o you_o will_v know_v the_o hour_n at_o aleppo_n let_v aleppo_n be_v 12_o and_o count_v from_o thence_o 1._o 2._o 3._o etc._n etc._n till_o you_o come_v to_o the_o hour_n of_o the_o day_n i_o mean_v the_o hour_n then_o show_v you_o by_o the_o shade_n you_o will_v find_v it_o to_o be_v 7_o a_o clock_n there_o for_o aleppo_n be_v you_o see_v three_o hour_n eastward_o of_o you_o now_o have_v the_o hour_n with_o you_o be_v 4_o in_o the_o morning_n you_o must_v have_v count_v backward_o as_o 11_o 10_o 9_o 8_o and_o consequent_o you_o will_v have_v find_v it_o there_o 8_o in_o the_o morning_n in_o this_o manner_n than_o you_o must_v operate_v all_o along_o 3_o and_o 4_o find_v by_o your_o globe_n exact_o the_o sun_n height_n every_o month._n hour_n at_o his_o entrance_n into_o each_o sign_n then_o take_v by_o the_o help_n of_o your_o sector_n ab_fw-la the_o erect_a style_n in_o scheme_n 42._o being_n radius_fw-la the_o tangent_fw-la compliment_n of_o the_o height_n and_o put_v one_o foot_n of_o your_o compass_n on_o your_o dial_n at_o b_o make_v prick_n or_o mark_v in_o each_o correspond_v hour-line_n according_o that_o be_v to_o say_v if_o the_o sun_n be_v high_a suppose_v 50_o degree_n at_o 12_o of_o the_o clock_n when_o he_o enter_v ♉_o or_o â™_o then_o take_v the_o tangent_fw-la of_o 40_o and_o prick_v that_o distance_n in_o the_o meridian_n line_n viz._n from_o b_o to_z f_z and_o if_o his_o height_n at_o 1_o and_o 11_o a_o clock_n be_v v._n g._n 48_o degree_n take_v the_o tangent_fw-la of_o 42_o and_o prick_v that_o distance_n in_o the_o 11_o and_o 1_o a_o clock_n line_n viz._n from_o b_o to_z h_z and_o g_o and_o when_o you_o have_v go_v thus_o over_o all_o the_o hour-line_n no_o soon_o will_v the_o sun_n come_v into_o ♉_o or_o â™_o but_o the_o shade_n of_o the_o point_n or_o apex_n of_o the_o style_n ab_fw-la will_v fall_v every_o hour_n on_o the_o aforesaid_a prick_n and_o consequent_o show_v you_o the_o sun_n place_n in_o the_o ecliptic_a in_o like_a manner_n you_o must_v do_v with_o the_o rest_n of_o the_o sign_n and_o then_o with_o the_o 10_o degree_n of_o every_o sign_n place_v 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