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day_n december_n hour_n minute_n 6,433 5 13.1562 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A55065 The catholique planisphaer which Mr. Blagrave calleth the mathematical jewel briefly and plainly discribed in five books : the first shewing the making of the instrument, the rest shewing the manifold vse of it, 1. for representing several projections of the sphere, 2. for resolving all problemes of the sphere, astronomical, astrological, and geographical, 4. for making all sorts of dials both without doors and within upon any walls, cielings, or floores, be they never so irregular, where-so-ever the direct or reflected beams of the sun may come : all which are to be done by this instrument with wonderous ease and delight : a treatise very usefull for marriners and for all ingenious men who love the arts mathematical / by John Palmer ... ; hereunto is added a brief description of the cros-staf and a catalogue of eclipses observed by the same I.P. Palmer, John, 1612-1679. 1658 (1658) Wing P248; ESTC R11098 148,140 211

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♋_o at_o meridies_n and_o the_o rest_n in_o like_a order_n then_o draw_v another_o scale_n without_o this_o upon_o the_o ring_n consist_v of_o two_o space_n in_o the_o inner_a space_n shall_v be_v the_o day_n of_o the_o year_n in_o the_o outer_a space_n which_o must_v be_v a_o little_o large_a shall_v be_v the_o name_n of_o the_o month_n in_o their_o order_n and_o to_o divide_v this_o scale_n right_o you_o shall_v do_v thus_o go_v to_o some_o eshemeris_fw-la for_o the_o leap_v year_n that_o next_o come_v viz._n 1660_o or_o rather_o for_o some_o leap_v year_n about_o 20_o year_n hence_o that_o your_o scale_n may_v serve_v without_o any_o prosthapheresis_fw-la for_o 40_o year_n to_o come_v without_o sensible_a error_n and_o begin_v your_o year_n with_o march_n look_v where_o the_o sun_n be_v on_o the_o 29_o of_o february_n at_o noon_n which_o you_o shall_v find_v to_o be_v ♓_o 20_o degr_n 47_o min_fw-mi for_o the_o year_n 1660._o therefore_o lay_v the_o label_n or_o a_o ruler_n from_o the_o centre_n to_o ♓_o 20_o degr_n 47_o min._n in_o the_o inner_a scale_n strike_v a_o long_a stroke_n through_o your_o outward_a scale_n and_o from_o thence_o begin_v your_o year_n write_v from_o thence_o towards_o the_o right_a hand_n march_v 1660._o then_o lay_v the_o label_n to_o ♓_o 21_o degr_n 47_o min_fw-mi which_o be_v the_o sun_n place_n on_o the_o first_o day_n of_o march_n at_o noon_n the_o same_o year_n and_o where_o it_o cut_v the_o outer_a scale_n mark_v the_o first_o day_n of_o march_n and_o so_o the_o rest_n in_o order_n and_o to_o the_o first_o day_n of_o every_o month_n you_o shall_v set_v his_o proper_a letter_n which_o belong_v to_o he_o in_o the_o calendar_n as_o to_o the_o first_o of_o march_v you_o shall_v set_v d_o and_o to_o the_o first_o of_o april_n g_z etc._n etc._n and_o when_o you_o have_v do_v december_n you_o must_v take_v the_o sun_n place_n for_o january_n and_o february_n out_o of_o the_o next_o year_n ephemeris_fw-la viz._n 1661._o and_o note_n that_o the_o space_n for_o the_o last_o day_n of_o the_o year_n febr._n 28_o will_v fall_v out_o to_o be_v less_o by_o a_o four_o part_n then_o the_o rest_n by_o reason_n that_o the_o sun_n want_v almost_o 6_o hour_n to_o finish_v his_o circle_n which_o he_o finish_v in_o day_n 365_o 5_o hour_n 48_o minute_n and_o for_o this_o cause_n these_o scale_n will_v serve_v you_o to_o find_v the_o sun_n place_n at_o noon_n for_o any_o day_n in_o a_o like_a year_n that_o be_v every_o four_o year_n account_v hence_o either_o backward_o or_o forward_o which_o year_n shall_v evermore_o be_v account_v to_o begin_v from_o febr._n 29._o and_o may_v be_v account_v the_o first_o year_n after_o leap_n year_n because_o the_o intercalation_n be_v february_n 25_o next_o before_o then_o for_o the_o year_n next_o follow_v viz_o 1661._o beginning_n march_v 1_o and_o be_v second_o from_o the_o bissextile_a or_o leap_v year_n these_o scale_n shall_v give_v you_o the_o place_n of_o the_o sun_n at_o six_o hour_n after_o noon_n and_o the_o three_o year_n from_o bissextile_a 1662._o beginning_n as_o before_z march_z 1_o these_o scale_n shall_v give_v you_o the_o sun_n place_n 12_o hour_n after_o noon_n or_o the_o midnight_n follow_v and_o the_o four_o year_n 1663._o be_v bissextile_a these_o scale_n show_v the_o place_n of_o the_o sun_n at_o 18_o hour_n after_o noon_n the_o next_o year_n 1664_o be_v the_o first_o after_o bissextile_a and_o beginning_n as_o aforesaid_a march_v 1_o be_v the_o very_a same_o year_n for_o which_o your_o scale_n be_v make_v and_o go_v for_o that_o year_n your_o scale_n show_v the_o sun_n place_n at_o noon_n again_o but_o because_o the_o julian_n year_n be_v big_a than_o the_o true_a solar_a year_n by_o almost_o 12_o mi._n of_o time_n that_o be_v near_o a_o quarter_n of_o a_o hour_n in_o which_o time_n the_o sun_n move_v 27_o sec_fw-la 13_o three_o 37_o fourth_n therefore_o when_o you_o have_v find_v the_o sun_n place_n by_o the_o former_a scale_n any_o year_n after_o 1660_o look_v how_o many_o year_n be_v pass_v since_o 1660_o and_o so_o many_o time_n you_o must_v add_v 27_o sec_fw-la 13_o three_o 37_o fourth_n that_o be_v almost_o half_a a_o minute_n to_o the_o sun_n place_n find_v and_o for_o year_n past_o ●ou_n must_v subtract_v as_o much_o that_o you_o may_v find_v the_o sun_n place_n exact_o this_o prosthapheresis_fw-la in_o 2_o or_o 3_o year_n be_v scarce_o considerable_a in_o a_o instrument_n but_o in_o 10_o year_n there_o will_v be_v 4_o minute_n 32._o second_o and_o in_o 20_o year_n 9_o minute_n 5._o second_o to_o be_v add_v after_o 1660._o and_o as_o much_o to_o be_v subtract_v in_o like_a number_n of_o year_n precede_v the_o year_n 1660._o to_o which_o this_o scale_n be_v suppose_v to_o be_v frame_v this_o ephemeris_fw-la or_o calender_n m._n blagrave_n will_v have_v on_o the_o backside_n where_o he_o will_v also_o have_v a_o ruler_n with_o sight_n to_o take_v the_o altitude_n of_o the_o sun_n or_o star_n but_o this_o will_v be_v find_v incommodious_a in_o many_o respect_n both_o in_o the_o frame_n and_o in_o the_o use_n and_o therefore_o i_o advise_v that_o nothing_o be_v set_v on_o the_o backside_n but_o the_o table_n of_o the_o prime_n epact_n and_o cycle_n of_o the_o sun_n thereby_o to_o find_v the_o age_n of_o the_o moon_n her_o conjunction_n and_o opposition_n and_o the_o movable_a feast_n for_o ever_o of_o which_o see_v chap._n 11._o chap._n x._o of_o the_o label_n and_o sight_n the_o label_n be_v a_o ruler_n slit_v in_o the_o midst_n and_o the_o half_a of_o it_o cut_v away_o to_o the_o head_n where_o it_o be_v pin_v to_o turn_v upon_o the_o centre_n and_o reach_v to_o the_o outside_n of_o the_o limb._n the_o fiducial_a edge_n thereof_o which_o point_v upon_o the_o centre_n must_v be_v graduate_v like_a to_o the_o semidiameter_n of_o the_o mater_n and_o reet_n into_o 90_o degree_n to_o be_v number_v either_o inward_a or_o outward_a the_o fashion_n of_o it_o may_v be_v understand_v by_o the_o figure_n without_o more_o word_n to_o this_o label_n you_o may_v fit_a sight_n either_o fix_v or_o movable_a as_o you_o like_v best_a for_o observe_v altitude_n and_o azimuth_n but_o for_o take_v azimuth_n you_o have_v need_n have_v one_o tall_a sight_n at_o least_o half_a as_o long_o as_o the_o label_n and_o then_o it_o have_v need_n be_v movable_a to_o take_v off_o at_o pleasure_n for_o take_v the_o altitude_n of_o the_o sun_n i_o have_v make_v a_o pair_n of_o movable_a sight_n to_o slip_v up_o and_o down_o upon_o the_o edge_n of_o the_o planisphear_n have_v on_o the_o backside_n spring_v plate_n of_o brass_n to_o pintch_n they_o close_o and_o make_v they_o stick_v where_o you_o set_v they_o these_o be_v common_o to_o be_v set_v at_o c_o and_o d_o the_o end_n of_o the_o equinoctial_a line_n at_o a_o in_o the_o limb_n and_o in_o the_o circle_n next_o unto_o the_o inner_a edge_n which_o bound_v the_o stroke_n of_o the_o several_a degree_n you_o shall_v drill_v a_o small_a hole_n through_o which_o you_o may_v put_v a_o thread_n to_o hang_v a_o plummet_n on_o the_o sun_n then_o shine_v through_o the_o sight_n place_v at_o c_o and_o d_o the_o plumbline_n shall_v show_v his_o altitude_n in_o the_o semicircle_n b_o c_o a_o you_o beginning_n to_o number_n from_o b_o and_o observe_v where_o the_o plumbline_n cross_v the_o circle_n in_o which_o the_o hole_n for_o hang_v the_o plumbline_n be_v make_v and_o here_o you_o must_v remember_v that_o because_o the_o plumbline_n fall_v not_o from_o the_o centre_n of_o the_o planisphear_n but_o from_o a_o point_n in_o the_o circumference_n about_o a_o therefore_o the_o space_n of_o two_o degree_n must_v be_v take_v but_o one_o degree_n so_o that_o if_o the_o plumb-line_n fall_v 20_o degr_n below_z b_o toward_z c_z the_o sun_n altitude_n be_v 10_o degree_n as_o you_o may_v see_v demonstrate_v euclid_n 3.20_o and_o pitisc_n trigonem_fw-la 1.53_o and_o thus_o you_o may_v observe_v the_o sun_n altitude_n near_o the_o horizon_n as_o exact_o as_o by_o a_o quadrant_n who_o semediameter_n be_v equal_a to_o the_o diameter_n of_o your_o planisphear_n but_o if_o the_o altitude_n exceed_v 30_o or_o 40._o degree_n then_o will_v the_o plumb-line_n cut_v the_o limb_n too_o slope_n and_o have_v too_o much_o play_v to_o your_o trouble_n for_o remedy_n whereof_o you_o shall_v remove_v the_o sight_n at_o d_o towards_o a_o some_o degree_n as_o for_o example_n 60_o degree_n by_o which_o mean_v you_o shall_v abate_v the_o sun_n altitude_n 30_o degree_n which_o 30_o degree_n must_v be_v add_v to_o the_o altitude_n observe_v as_o for_o example_n the_o sight_n be_v place_v one_o at_o c_o the_o other_o 60_o degree_n above_o d_o towards_o a_o and_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 ⅔_n from_o the_o south_n or_o from_o the_o north_n 143_o ⅓_n show_v i_o that_o the_o angle_n b_o at_o the_o zenith_n be_v 143_o ⅓_n the_o azimuth_n from_o the_o north_n and_o his_o supplement_n 36_o ⅔_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 ♐_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 ♐_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
projection_n the_o concurrent_a circle_n meet_v in_o the_o pole_n a_o and_o b_o be_v meridian_n those_o meridian_n be_v 180_o in_o number_n and_o divide_v the_o equator_fw-la c_o d_o into_o 360._o degree_n because_o every_o one_o of_o they_o cut_v it_o twice_o that_o be_v once_o in_o each_o hemisphere_n by_o these_o be_v number_v the_o right_a ascension_n of_o the_o star_n and_o planet_n and_o the_o hour_n and_o minute_n of_o day_n and_o night_n for_o every_o 15_o of_o these_o meridian_n number_v from_o the_o limb_n be_v a_o hour_n circle_n as_o have_v be_v show_v book_n 1.6_o they_o be_v number_v from_o d_o to_z c_z that_o be_v from_o septentrio_fw-la to_o meridies_n 1.2.3_o etc._n etc._n for_o the_o morning_n hour_n and_o back_o again_o from_o c_z to_z d_o in_o like_a manner_n for_o the_o afternoon_n the_o axletree_n line_n a_o b_o fall_v out_o to_o be_v the_o six_o a_o clock_n line_v both_o way_n by_o those_o meridian_n also_o be_v number_v the_o longitude_n of_o town_n and_o country_n in_o geography_n the_o circle_n or_o semicircle_n cross_v these_o meridian_n be_v the_o parallel_n of_o declination_n they_o be_v lesser_a circle_n who_o property_n it_o be_v to_o divide_v the_o sphere_n into_o unequal_a part_n in_o the_o midst_n of_o they_o lie_v the_o equator_fw-la c_o d_o be_v here_o a_o straight_a line_n and_o cut_v the_o axtree-line_n a_o b_o at_o right_a angle_n in_o the_o centre_n e_o the_o parallel_n be_v great_a near_o the_o equator_fw-la and_o from_o thence_o they_o lessen_v towards_o the_o pole_n they_o be_v 180_o in_o number_n i._n e._n 90_o on_o each_o side_n the_o equator_fw-la save_v that_o the_o two_o extreme_a parallel_n be_v reduce_v to_o two_o point_n in_o the_o pole_n by_o these_o parallel_n be_v number_v the_o declination_n of_o the_o star_n in_o astronomy_n and_o the_o latitude_n of_o town_n and_o country_n in_o geography_n and_o this_o name_n and_o use_n have_v the_o circle_n of_o the_o mater_n always_o in_o the_o meridional_a projection_n the_o ecliptic_a always_o stand_v for_o itself_o when_o it_o be_v use_v which_o be_v only_o in_o the_o first_o mode_n of_o this_o projection_n but_o the_o circle_n of_o the_o reet_n have_v divers_a name_n and_o use_n in_o the_o divers_a modes_n of_o this_o projection_n which_o here_o follow_v 1_o the_o first_o mode_n of_o the_o meridional_a projection_n the_o point_n a_o of_o the_o reet_n in_o which_o the_o concurrent_a arch_n meet_v be_v call_v the_o vertex_fw-la of_o the_o reet_n set_a the_o vertex_fw-la of_o the_o reet_n to_o the_o latitude_n of_o your_o place_n so_o shall_v the_o vertex_fw-la be_v zenith_n and_o the_o concurrent_a arch_n there_o meet_v shall_v be_v azimuth_n call_v also_o vertical_a circle_n and_o circle_n of_o position_n pass_v from_o zenith_n to_o nadir_n and_o divide_v the_o horizon_n into_o 360_o degr_n as_o the_o meridian_n on_o the_o mater_n pass_v from_o pole_n to_o pole_n and_o divide_v the_o equinoctial_a the_o semicircle_n cross_v these_o azimuth_n shall_v be_v almicanter_n or_o circle_n of_o altitude_n the_o diameter_n cross_v the_o axletree_n of_o the_o reet_n at_o right_a angle_n shall_v be_v the_o horizon_n or_o finiter_n who_o graduation_n be_v set_v to_o he_o in_o a_o border_n below_o the_o centre_n and_o from_o he_o be_v the_o almicanter_n reckon_v upward_o to_o the_o zenith_n the_o azimuth_n may_v be_v reckon_v from_o the_o north_n or_o south_n semicircle_n of_o the_o meridian_n or_o from_o the_o axtree_n line_n of_o the_o reet_n which_o be_v the_o east_n or_o west_n azimuth_n common_o call_v the_o prime_n vertical_a when_o i_o bid_v you_o set_v the_o vertex_fw-la of_o the_o reet_n to_o the_o latitude_n of_o your_o place_n you_o must_v first_o know_v what_o your_o latitude_n be_v it_o be_v the_o near_a distance_n of_o your_o place_n from_o the_o terrestrial_a equinoctial_a number_v in_o degree_n and_o minute_n of_o a_o great_a circle_n the_o latitude_n of_o london_n be_v 31_o degr_n 32_o min._n north._n the_o latitude_n of_o ecton_n or_o northampton_n be_v 52_o degr_n 15_o minute_n or_o very_o near_o and_o how_o to_o get_v the_o latitude_n of_o those_o or_o any_o other_o place_n shall_v be_v show_v book_n 4.11_o the_o latitude_n have_v number_v the_o degree_n thereof_o upon_o the_o ring_n from_o c_o or_o meridies_n where_o the_o equator_fw-la cut_v the_o meridian_n towards_o a_o or_o oriens_fw-la which_o in_o this_o projection_n be_v the_o north_n pole_n because_o we_o in_o england_n have_v north_n latitude_n at_o the_o end_n of_o this_o number_n see_v for_o london_n 51._o degree_n 32._o minute_n from_o the_o equator_fw-la northward_o set_v the_o vertex_fw-la of_o the_o reet_n so_o this_o vertex_fw-la represent_v the_o zenith_n or_o point_n in_o the_o heaven_n which_o be_v just_a over_o your_o head_n in_o which_o point_n all_o the_o azimuth_n meet_v and_o through_o which_o also_o pass_v the_o meridian_n of_o your_o place_n which_o here_o be_v represent_v by_o the_o outmost_a circle_n of_o the_o mater_n or_o the_o innermost_a circle_n of_o the_o ring_n now_o be_v the_o upper_a semicircle_n of_o your_o meridian_n divide_v into_o four_o notable_a part_n from_o the_o zenith_n southward_o to_o the_o equator_fw-la be_v the_o latitude_n 51._o degree_n 32_o minute_n from_o thence_o to_o the_o horizon_n be_v the_o compliment_n of_o the_o latitude_n 38._o degree_n 28._o minute_n make_v up_o a_o quadrant_n again_o from_o the_o zenith_n northerly_a to_o the_o pole_n be_v the_o compliment_n of_o latitude_n 38._o degr_n 28._o minute_n as_o before_o and_o from_o thence_o to_o the_o north_n of_o the_o horizon_n be_v the_o elevation_n of_o the_o pole_n above_o your_o horizon_n which_o be_v always_o equal_a to_o the_o latitude_n of_o your_o place_n for_o where_o in_o a_o right_a sphere_n the_o poles_o in_o the_o horizon_n and_o have_v on_o elevation_n there_o the_o equator_fw-la pass_v through_o the_o zenith_n and_o if_o you_o go_v from_o such_o a_o country_n northward_o till_o the_o pole_n be_v elevate_v one_o degree_n the_o equator_fw-la shall_v there_o decline_v from_o your_o zenith_n one_o degree_n southward_o because_o the_o equator_fw-la keep_v always_o the_o distance_n of_o 90_o degree_n from_o the_o pole_n and_o this_o distance_n of_o the_o zenith_n of_o your_o place_n from_o the_o equator_fw-la be_v call_v by_o geographer_n latitude_n and_o be_v always_o equal_a to_o the_o elevation_n of_o your_o pole_n so_o that_o it_o be_v all_o one_o whether_o you_o set_v the_o vertex_fw-la 51._o degree_n 32._o min._n above_o the_o equator_fw-la or_o set_v the_o north_n point_n of_o the_o horizon_n 51._o degree_n 32._o minute_n below_o the_o north_n pole_n now_o the_o vertex_fw-la of_o the_o reet_n set_v to_o the_o latitude_n and_o consequent_o the_o pole_n mount_v to_o his_o due_a elevation_n your_o planisphear_n be_v in_o a_o right_a mode_n and_o posture_n speedy_o to_o resolve_v all_o question_n concern_v the_o diurnal_a motion_n as_o the_o sun_n longitude_n declination_n right_a ascension_n the_o ascensionall_a difference_n with_o the_o semidiurnall_a arch_n or_o length_n of_o the_o day_n the_o sun_n altitude_n azimuth_n and_o amplitude_n the_o hour_n and_o minute_n of_o the_o day_n the_o beginning_n end_n and_o duration_n of_o twilight_n and_o such_o like_a and_o that_o with_o so_o great_a facility_n that_o have_v only_o the_o longitude_n of_o the_o sun_n with_o the_o ephemeris_fw-la on_o the_o ring_n shall_v give_v you_o for_o ask_v and_o therewith_o either_o the_o altitude_n azimuth_n or_o hour_n one_o of_o they_o you_o may_v see_v all_o the_o rest_n at_o the_o first_o view_n without_o change_v the_o posture_n of_o your_o instrument_n as_o shall_v appear_v in_o the_o four_o book_n 2_o the_o second_o mode_n of_o the_o meridional_a projection_n set_a the_o zenith_n or_o vertex_fw-la of_o the_o reet_n to_o the_o north_n pole_n of_o the_o ecliptic_a or_o which_o be_v all_o one_o set_v the_o horizon_n line_n of_o the_o reet_n in_o the_o ecliptic_a line_n of_o the_o mater_n so_o the_o azimuth_n shall_v in_o this_o posture_n become_v circle_n of_o longitude_n and_o the_o almicanters_n circle_n of_o latitude_n and_o in_o this_o mode_n your_o planisphear_n be_v fit_v to_o resolve_v all_o question_n of_o the_o longitude_n latitude_n right_a ascension_n and_o declination_n of_o the_o star_n 3_o the_o three_o mode_n of_o the_o meridional_a projection_n number_v the_o altitude_n of_o culmen_fw-la caeli_fw-la that_o be_v the_o sothe_v point_n of_o the_o ecliptic_a in_o the_o ring_n from_o the_o north_n pole_n towards_o meridies_n if_o the_o ascendant_n be_v a_o north_n sign_n or_o towards_o septentrio_fw-la if_o the_o ascendant_n be_v a_o south_n sign_n to_o the_o end_n of_o this_o numeration_n place_n the_o finiter_fw-la reckon_v also_o upon_o the_o finiter_n from_o the_o centre_n towards_o septentrie_n the_o amplitude_n of_o the_o ascendant_n the_o meridian_n cut_v there_o give_v you_o
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
first_o of_o january_n go_v one_o letter_n backward_o yearly_a and_o in_o every_o leap_n year_n it_o change_v again_o on_o the_o lord_n day_n next_o after_o february_n 24._o the_o reason_n whereof_o be_v this_o the_o calendar_n be_v mark_v throughout_o with_o the_o letter_n of_o the_o week_n a_o b_o c_o d_o e_o f_o g_o and_o the_o same_o day_n of_o the_o year_n be_v always_o mark_v with_o the_o same_o letter_n now_o if_o the_o year_n contain_v even_o week_n then_o will_v the_o dominical_a letter_n be_v always_o one_o and_o the_o same_o but_o because_o a_o common_a year_n contain_v 52_o week_n and_o one_o day_n therefore_o the_o last_o day_n of_o the_o year_n must_v be_v mark_v with_o a_o as_o the_o first_o be_v the_o first_o day_n of_o the_o year_n follow_v again_o be_v mark_v with_o a_o now_o put_v case_n the_o last_o of_o december_n mark_v a_o be_v sunday_n in_o the_o year_n 1654._o the_o day_n follow_v viz_o january_n 1_o be_v monday_n and_o yet_o mark_v a_o and_o the_o first_o sunday_n in_o 1655_o must_v needs_o fall_v on_o january_n 7_o mark_v with_o g_o and_o so_o g_z become_v dominical_a letter_n for_o 1655._o as_o a_o be_v for_o 1654._o and_o as_o those_o 2_o day_n mark_v with_o the_o same_o letter_n a_o come_v together_o at_o every_o year_n end_v cause_v a_o change_n of_o the_o dominical_a letter_n so_o in_o the_o leap_n year_n the_o intercalary_n day_n february_n the_o 25_o be_v mark_v with_o f_o always_o as_o the_o 24_o be_v the_o come_n together_o of_o those_o two_o day_n mark_v with_o one_o letter_n cause_v a_o second_o change_n of_o the_o dominical_a letter_n for_o that_o year_n by_o like_a reason_n the_o three_o table_n be_v a_o table_n to_o find_v easter_n for_o ever_o this_o be_v place_v outmost_a because_o it_o be_v the_o long_a it_o be_v very_o false_o order_v in_o m._n blagraves_n book_n and_o so_o it_o be_v in_o grostons_n table_n from_o whence_o i_o suppose_v he_o transcribe_v it_o i_o have_v set_v it_o right_n and_o straight_o and_o take_v what_o care_n i_o can_v that_o the_o printer_n or_o graver_n do_v not_o put_v the_o rank_n into_o the_o same_o disorder_n in_o which_o i_o find_v they_o both_o in_o blagrave_n and_o in_o grostons_n table_n print_v 8_o year_n before_o he_o chap._n xii_o some_o caution_n to_o be_v observe_v in_o the_o make_n of_o the_o instrument_n though_o i_o have_v teach_v the_o make_n of_o the_o mater_n first_o as_o be_v the_o base_a and_o principal_a part_n of_o the_o instrument_n yet_o i_o shall_v advise_v you_o first_o to_o draw_v and_o cut_v out_o the_o reet_n and_o fit_v the_o label_n to_o it_o leave_v it_o sufficient_a length_n to_o reach_v to_o the_o outside_n of_o the_o mater_n and_o then_o have_v your_o ring_n ready_o fit_v to_o screw_v on_o to_o the_o mater_n you_o shall_v drill_v the_o centre_n of_o the_o mater_n reet_n and_o label_n with_o the_o same_o drill_n and_o fasten_v they_o together_o with_o a_o center-pin_n well_o fit_v to_o the_o bear_v this_o center-pin_n must_v not_o be_v too_o big_a let_v it_o be_v square_a at_o the_o head_n to_o stick_v in_o the_o backside_n of_o the_o mater_n that_o it_o turn_v not_o and_o let_v the_o other_o end_n have_v a_o male_a screw_n upon_o which_o you_o shall_v turn_v a_o female_a screw_n to_o draw_v the_o plate_n together_o so_o that_o they_o be_v neither_o too_o loose_a nor_o stick_v too_o hard_o then_o take_v a_o great_a needle_n or_o such_o a_o round_a point_n of_o harden_a steel_n and_o bear_v it_o up_o into_o some_o corner_n of_o the_o reet_n close_o to_o the_o inside_n of_o his_o limb_n turn_v about_o both_o reet_n and_o needle_n upon_o the_o mater_n so_o that_o the_o needle_n may_v trace_v out_o the_o great_a meridian_n of_o the_o mater_n and_o so_o the_o principal_a circle_n of_o the_o mater_n and_o reet_n shall_v be_v sure_a to_o be_v concentrique_fw-la and_o to_o argree_v in_o all_o posture_n of_o the_o reet_n whereas_o if_o you_o draw_v the_o meridian_n of_o the_o mater_n before_o you_o have_v bore_v the_o centre_n and_o fit_v on_o the_o reet_n you_o shall_v hardly_o happen_v to_o bore_v so_o true_a but_o you_o shall_v find_v the_o circle_n to_o be_v a_o little_a eccentrique_fw-la and_o interfering_n one_o with_o another_o and_o to_o avoid_v the_o like_a eccentricity_n in_o the_o circle_n of_o the_o ring_n it_o be_v best_a to_o have_v a_o sorry_a beam_n compass_n make_v only_o for_o this_o purpose_n and_o fit_v to_o your_o centre_n pin_n to_o draw_v they_o by_o yet_o if_o those_o be_v draw_v from_o the_o centre_n of_o the_o mater_n unbore_v there_o will_v be_v no_o perceivable_a error_n if_o you_o divide_v they_o from_o the_o limb_n of_o the_o reet_n by_o the_o label_n when_o all_o be_v pin_v together_o these_o thing_n do_v quarter_v the_o meridian_n of_o the_o mater_n with_o two_o cross_a diameter_n and_o divide_v they_o as_o be_v above_o direct_v remember_v to_o apply_v your_o reet_n to_o the_o mater_n often_o to_o see_v how_o the_o division_n of_o the_o diameter_n agree_v and_o how_o the_o meridian_n and_o parallel_n which_o you_o be_v draw_v on_o the_o mater_n agree_v with_o the_o azimuth_n and_o almicanter_n of_o the_o reet_n and_o thus_o by_o compare_v your_o plate_n often_o and_o examine_v the_o lineament_n of_o the_o one_o by_o the_o other_o as_o you_o draw_v they_o you_o shall_v avoid_v many_o slip_n and_o mistake_n and_o proceed_v in_o your_o work_n with_o more_o confidence_n and_o contentment_n the_o second_o book_n of_o the_o several_a projection_n of_o the_o sphere_n which_o be_v represent_v by_o this_o planisphear_n the_o preface_n the_o sphere_n may_v be_v project_v fit_o upon_o the_o plain_a of_o any_o great_a circle_n but_o the_o projection_n will_v be_v of_o little_a use_n for_o resolve_v question_n in_o astronomy_n unless_o it_o be_v make_v upon_o one_o of_o these_o four_o the_o meridian_n the_o equator_fw-la the_o azimuth_n of_o the_o nonagesimus_fw-la gradus_fw-la or_o the_o horizon_n this_o planisphear_n be_v fit_v therefore_o to_o represent_v all_o those_o four_o projection_n and_o especial_o the_o two_o former_a chap._n i._o of_o the_o planisphear_n in_o the_o meridional_a projection_n represent_v the_o eastern_a or_o western_a hemisphear_n and_o of_o his_o three_o modes_n or_o posture_n what_o m._n blagrave_n book_n 2._o chap_n 15.16_o call_v the_o first_o and_o second_o distinction_n of_o the_o jewel_n i_o call_v the_o first_o and_o second_o meridional_a and_o equinoctial_a projection_n of_o the_o planisphear_n for_o which_o change_n of_o term_n i_o hope_v the_o judicious_a reader_n will_v not_o blame_v i_o the_o meridional_a projection_n be_v the_o eastern_a or_o western_a hemisphere_n project_v upon_o the_o plain_a of_o the_o meridian_n of_o your_o place_n which_o be_v the_o great_a and_o chief_a meridian_n in_o every_o country_n pass_v through_o the_o zenith_n and_o nadir_n of_o the_o place_n as_o well_o as_o through_o the_o pole_n of_o the_o world_n the_o eye_n in_o this_o projection_n be_v suppose_v to_o be_v place_v in_o the_o east_n or_o west_n point_n of_o the_o horizon_n the_o lineament_n which_o belong_v to_o this_o projection_n be_v the_o innermost_a scale_n of_o the_o ring_n and_o all_o the_o lineament_n of_o the_o mater_n and_o reet_n except_o only_o the_o zodiac_n of_o the_o reet_n and_o the_o star_n here_o the_o outmost_a circle_n both_o of_o the_o mater_n and_o reet_n represent_v the_o great_a meridian_n of_o your_o place_n and_o the_o scale_n upon_o the_o inside_n of_o the_o ring_n divide_v into_o 360_o degree_n serve_v to_o divide_v the_o say_a meridian_n for_o the_o label_n lay_v upon_o any_o degree_n of_o the_o scale_n of_o the_o ring_n cut_v the_o same_o degree_n in_o the_o meridian_n circle_n because_o it_o be_v concentric_a thereto_o this_o meridian_n also_o stand_v for_o colurus_n solstitiorum_fw-la so_o they_o call_v that_o meridian_n which_o pass_v through_o the_o begin_n of_o cancer_n and_o capricorn_n for_o though_o all_o the_o meridian_n in_o 24._o hour_n space_n do_v successive_o come_v into_o the_o meridian_n of_o your_o place_n which_o be_v the_o noon_n circle_n pass_v over_o your_o head_n north_n and_o south_n and_o the_o sphere_n may_v be_v divide_v into_o eastern_a and_o western_a hemisphere_n by_o any_o of_o these_o meridian_n when_o they_o become_v vertical_a yet_o the_o sphere_n be_v then_o in_o the_o best_a posture_n to_o be_v divide_v for_o our_o purpose_n into_o east_n and_o west_n when_o cancer_n be_v sothe_v capricorn_n at_o midnight_n and_o ♎_o 0_o rise_v full_a east_n and_o ♈_o 0_o set_v full_a west_n in_o this_o meridian_n at_o a_o or_o oriens_fw-la be_v the_o north_n pole_n and_o the_o south_n pole_n at_o b_o or_o occidens_fw-la for_o the_o word_n oriens_fw-la and_o occidens_fw-la be_v there_o place_v to_o serve_v the_o equinoctial_a
less_o than_o the_o ten_o part_n of_o a_o inch_n for_o one_o minute_n and_o beyond_o 30._o or_o 40._o degree_n this_o instrument_n will_v not_o be_v use_v because_o the_o ay_o can_v see_v both_o the_o sight_n of_o the_o transom_n at_o once_o without_o roll_v from_o one_o to_o another_o whereby_o the_o centre_n of_o vision_n be_v change_v 3._o your_o ey_fw-mi be_v better_a fix_a and_o shadow_v by_o this_o eyesight_n then_o when_o the_o end_n of_o the_o index_n be_v place_v by_o guess_n upon_o the_o cheekbone_n the_o inconvenience_n here_o be_v no_o more_o than_o what_o be_v find_v in_o all_o cross-staffes_a of_o what_o form_n soever_o and_o that_o be_v they_o be_v subject_a to_o some_o error_n by_o reason_n of_o the_o eccentricity_n of_o the_o ey_fw-mi for_o the_o visual_a beam_n meet_v within_o the_o ey_fw-mi at_o a_o depth_n uncertain_a and_o they_o be_v also_o refract_v in_o the_o superficies_n of_o the_o apple_n of_o the_o ey_fw-mi the_o apple_n of_o the_o ey_fw-mi also_o be_v not_o of_o the_o same_o convexity_n nor_o of_o the_o same_o breadth_n in_o all_o man_n and_o it_o be_v contract_v in_o a_o bright_a air_n and_o dilate_a in_o a_o dark_a air_n as_o you_o shall_v soon_o find_v if_o you_o go_v about_o to_o observe_v the_o diameter_n of_o the_o moon_n by_o this_o instrument_n without_o correction_n of_o the_o eccentricity_n for_o you_o shall_v always_o find_v the_o apparent_a diameter_n too_o great_a and_o much_o great_a in_o the_o night_n then_o in_o the_o day_n thus_o november_n 18._o 1653._o i_o observe_v the_o moon_n diameter_n 32._o minute_n 06._o second_o in_o the_o day_n time_n and_o that_o night_n i_o observe_v it_o 58._o minute_n by_o reason_n of_o the_o dilatation_n of_o the_o apple_n of_o my_o ey_fw-mi in_o the_o night_n this_o error_n may_v be_v rectify_v two_o way_n the_o first_o be_v by_o examine_v the_o observation_n make_v with_o your_o crossstaff_n by_o some_o other_o instrument_n which_o be_v not_o subject_a to_o like_a error_n as_o for_o example_n i_o have_v devise_v to_o fasten_v a_o arch_n of_o a_o circle_n contain_v 20._o or_o 30._o degree_n to_o the_o end_n of_o a_o ruler_n of_o 6._o or_o 7._o foot_n and_o fit_a to_o it_o a_o label_n with_o sight_n then_o have_v observe_v by_o my_o crossstaff_n the_o length_n of_o orion_n girdle_n i_o will_v set_v my_o other_o instrument_n to_o it_o turn_v the_o arch_n towards_o i_o that_o i_o may_v manage_v the_o label_n better_o and_o note_v the_o difference_n of_o the_o observation_n i_o will_v find_v how_o to_o correct_v my_o staff_n in_o that_o posture_n a_o another_o time_n and_o so_o by_o many_o observation_n i_o may_v frame_v a_o table_n to_o correct_v the_o eccentricity_n throughout_o but_o my_o table_n perhaps_o will_v not_o serve_v to_o correct_v the_o eccentricity_n every_o man_n ay_o neither_o will_v a_o table_n make_v for_o the_o night_n serve_v i_o in_o the_o day_n the_o other_o way_n be_v most_o exact_a and_o certain_a for_o all_o men._n make_v another_o transom_n in_o all_o point_n like_o the_o first_o but_o short_a by_o half_a and_o let_v the_o division_n thereof_o be_v into_o half-inche_n this_o transom_n must_v ride_v upon_o the_o index_n with_o a_o socket_n between_o the_o long_a transom_n and_o your_o ey_fw-mi now_o when_o you_o observe_v set_v the_o sight_n of_o the_o short_a transom_n to_o the_o like_a number_n of_o half_a inch_n as_o the_o sight_n of_o the_o long_a transom_n stand_v at_o whole_a inch_n and_o when_o you_o have_v place_v your_o eyesight_n so_o that_o you_o see_v the_o star_n upon_o the_o edge_n of_o the_o sight_n of_o the_o long_a transom_n draw_v your_o short_a transom_n till_o you_o see_v the_o star_n by_o his_o sight_n in_o like_a manner_n at_o once_o then_o look_v what_o number_n be_v cut_v by_o the_o short_a transom_n the_o double_a thereof_o be_v the_o co-tangent_a of_o the_o angle_n and_o look_v what_o the_o number_n cut_v by_o the_o eyesight_n want_v of_o that_o double_a so_o much_o be_v the_o eccentricity_n of_o your_o ey_fw-mi in_o that_o place_n this_o way_n be_v show_v by_o that_o excellent_a mathematician_n mr_n edward_n wright_n in_o chapter_n 15._o of_o his_o treatise_n of_o error_n in_o navigation_n finis_fw-la a_o catalogue_n of_o eclipse_n observe_v since_o the_o year_n of_o our_o lord_n 1637._o first_o at_o coventree_n who_o longitude_n be_v more_o west_n than_o london_n 1._o degree_n 29._o minute_n of_o space_n latitude_n 52._o 28._o minute_n my_o especial_a friend_n dr_n john_n twysden_n and_o mr_n samuel_n foster_n late_a professor_n of_o astronomy_n in_o gresham_n colleige_v and_o myself_o all_o together_o observe_v the_o total_a and_o great_a eclipse_n of_o the_o moon_n which_o happen_v in_o the_o year_n 1638._o on_o tuesday_n december_n 11._o before_o noon_n the_o total_a obscuration_n begin_v 1._o hour_n 07._o minute_n the_o time_n of_o emergence_n observe_v by_o the_o altitude_n of_o benenaes_n be_v 2._o hour_n 41._o minute_n so_o the_o total_a obscuration_n continue_v 1._o hour_n 34._o minute_n during_o the_o great_a part_n of_o which_o time_n the_o moon_n be_v quite_o lose_v though_o the_o sky_n be_v clear_a when_o the_o moon_n begin_v to_o recover_v light_n she_o be_v in_o the_o foremost_a foot_n of_o apollo_n between_o the_o two_o star_n of_o the_o three_o magnitude_n a_o line_n draw_v between_o those_o star_n do_v cut_v off_o the_o low_a part_n of_o the_o moon_n body_n to_o ⅙_n of_o her_o diameter_n and_o set_v the_o distance_n of_o the_o star_n in_o 12._o part_n the_o moon_n have_v go_v 7_o ½_n of_o those_o part_n towards_o the_o easterly_a star_n which_o be_v in_o calce_fw-la apollinis_fw-la hence_o i_o compute_v the_o apparent_a longitude_n of_o the_o moon_n at_o the_o time_n of_o emergence_n ♊_o 29._o 36._o minute_n 19_o second_o and_o her_o apparent_a latitude_n 0._o 44._o minute_n south_n 2._o at_o easton_n macodit_n who_o longitude_n be_v west_n from_o london_n 0._o 43._o minute_n of_o space_n that_o be_v almost_o 3_o minute_n of_o time_n the_o latitude_n 52._o 13._o minute_n anno_fw-la dom._n 1641._o upon_o friday_n october_n 8._o i_o observe_v the_o end_n of_o the_o total_a eclipse_n of_o the_o moon_n when_o lyra_n have_v altitude_n 48._o 48._o minute_n that_o be_v at_z 8_o hour_n 38._o minute_n 08._o second_o after_o noon_n 3._o at_o ecton_n who_o longitude_n be_v west_n from_o london_n 45._o minute_n of_o space_n or_o 3._o minute_n of_o time_n latitude_n 52._o 15._o minute_n anno_fw-la dom._n 1645_o upon_o monday_n angust_n 11._o i_o observe_v the_o eclipse_n of_o the_o sun_n end_v when_o the_o centre_n of_o the_o sun_n be_v in_o azimuch_o 0._o 55._o minute_n past_o the_o south_n that_o be_v 0._o hour_n 2_o ½_n minute_n after_o noon_n this_o eclipse_n hevelius_n observe_v to_o end_v at_o danizick_n at_o 1._o hour_n 53_o minute_n as_o he_o write_v in_o his_o selenographia_fw-la 4._o at_o ecton_n aforesaid_a anno_fw-la dom._n 1649._o upon_o wednesday_n may_v 16._o before_o noon_n i_o observe_v in_o the_o company_n 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0._o ⅛_n 0._o 41.56_o 4._o 1.47.28_o 1._o  _fw-fr 49.48_o 3._o 2.03.28_o 2._o  _fw-fr 59.44_o 2._o 15.32_o 3._o 1._o 09.44_o 1._o 22.40_o 4._o  _fw-fr 26.12_o 0._o 31.04_o 4._o ⅛_n 33.32_o  _fw-fr  _fw-fr 6._o at_o easton_n macodit_fw-la anno_fw-la domi._n 1651_o 2._o on_o monday_n march_v 15._o in_o the_o morning_n i_o observe_v with_o dr_n twysden_n that_o the_o moon_n be_v eclipse_v about_o one_o digit_fw-la when_o alkair_o be_v in_o azimuth_n 79._o 40._o minute_n from_o the_o south_n eastward_o more_o we_o can_v not_o see_v for_o cloud_n 7._o at_o ecton_n anno_fw-la dom._n 1652._o on_o monday_n march_v 29._o before_o noon_n i_o observe_v the_o great_a eclipse_n of_o the_o sun_n by_o a_o telescope_n and_o a_o minute-watch_n rectify_v by_o the_o azimuth_n of_o the_o sun_n take_v both_o before_o and_o