Selected quad for the lemma: book_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
book_n	find_v	great_a	read_v	2,892	5	5.5522	4	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A51553	A tutor to astronomie and geographie, or, An easie and speedy way to know the use of both the globes, coelestial and terrestrial in six books : the first teaching the rudiments of astronomy and geography, the 2. shewing by the globes the solution of astronomical & geographical probl., the 3. shewing by the globes the solution of problems in navigation, the 4. shewing by the globes the solution of astrological problemes, the 5. shewing by the globes the solution of gnomonical problemes, the 6. shewing by the globes the solution of of [sic] spherical triangles : more fully and amply then hath ever been set forth either by Gemma Frisius, Metius, Hues, Wright, Blaew, or any others that have taught the use of the globes : and that so plainly and methodically that the meanest capacity may at first reading apprehend it, and with a little practise grow expert in these divine sciences / by Joseph Moxon ; whereunto is added Antient poetical stories of the stars, shewing reasons why the several shapes and forms are pictured on the coelestial globe, collected from Dr. Hood ; as also a Discourse of the antiquity, progress and augmentation of astronomie.	Moxon, Joseph, 1627-1691.; Hood, Thomas, fl. 1582-1598.	1659 (1659)	Wing M3021; ESTC R23159	189,557	267

almicantar_n or_o altitude_n of_o the_o sun_n at_o 6._o a_o clock_n prob._n vi_o by_o the_o hour_n of_o the_o night_n and_o a_o know_a star_n observe_v rise_v or_o set_v to_o find_v the_o height_n of_o the_o pole_n rectify_v the_o hour_n index_n by_o prob._n 2._o of_o the_o former_a book_n and_o turn_v the_o globe_n westward_n till_o the_o hour_n index_n point_v at_o the_o hour_n of_o the_o night_n fasten_v the_o globe_n there_o and_o turn_v the_o meridian_n through_o the_o notch_n of_o the_o horizon_n till_o the_o know●_n star_n come_v to_o the_o east_n side_n the_o horizon_n if_o the_o star_n be_v rise_v 〈◊〉_d the_o west_n if_o it_o be_v set_v so_o shall_v the_o degree_n of_o the_o pole_n elevation_n be_v cut_v by_o the_o horizon_n under_o the_o elevate_v pole_n and_o 〈◊〉_d north_n or_o south_n according_a as_o the_o elevate_v pole_n of_o the_o globe_n 〈◊〉_d prob._n vii_o two_o place_n give_v in_o the_o same_o latitude_n to_o find_v 〈◊〉_d difference_n of_o longitude_n bring_v the_o first_o place_n to_o the_o meridian_n and_o note_v the_o number_n of_o degree_n of_o the_o equinoctial_a that_o come_v to_o the_o meridan_n with_o it_o then_o bring_v the_o other_o place_n to_o the_o meridian_n and_o note_n the_o number_n of_o degree_n of_o the_o equator_fw-la that_o come_v to_o the_o meridian_n with_o it_o and_o by_o substract_v the_o lesser_a number_n from_o the_o great_a you_o have_v the_o difference_n of_o longitude_n this_o need_v no_o example_n prob._n viii_o two_o place_n give_v in_o the_o same_o longitude_n to_o find_v the_o difference_n of_o latitude_n bring_v the_o place_n to_o the_o meridian_n and_o the_o degree_n of_o the_o meridian_n over_o the_o two_o place_n be_v the_o latitude_n of_o they_o both_o and_o by_o substract_v the_o lesser_a number_n of_o degree_n from_o the_o great_a you_o will_v have_v the_o difference_n of_o latitude_n prob._n ix_o course_n and_o distance_n between_o two_o place_n give_v to_o find_v their_o difference_n in_o longitude_n and_o latitude_n seek_v the_o rhumb_n you_o have_v fail_v upon_o as_o in_o prob_n 34_o of_o the_o last_o book_n and_o upon_o that_o rhumb_n make_v a_o mark_n for_o the_o place_n you_o depart_v from_o then_o with_o your_o compass_n take_v off_o from_o the_o equinoctial_a the_o number_n of_o league_n you_o have_v fail_v upon_o that_o rhumb_n by_o allow_v a_o degree_n for_o every_o 20._o league_n and_o place_n one_o foot_n of_o your_o compass_n upon_o that_o mark_n and_o where_o the_o other_o foot_n fall_v on_o that_o rhumb_n make_v a_o second_o mark_n then_o by_o bring_v the_o first_o mark_n to_o the_o meridian_n you_o will_v see_v on_o the_o meridian_n the_o latitude_n of_o that_o mark_n and_o in_o the_o equator_fw-la the_o longitude_n as_o in_o prob._n 2._o of_o the_o last_o book_n and_o by_o bring_v the_o second_o mark_n also_o to_o the_o meridian_n you_o will_v as_o before_o find_v the_o longitude_n and_o latitude_n of_o the_o second_o mark_n also_o then_o by_o substract_v the_o lesser_a latitude_n from_o the_o great_a latitude_n and_o the_o lesser_a longitude_n from_o the_o great_a longitude_n you_o will_v have_v the_o difference_n remain_v both_o of_o longitude_n and_o latitude_n you_o be_v arrive_v into_o prob._n x._o to_o find_v how_o many_o mile_n be_v contain_v in_o a_o degree_n of_o any_o parallel_n every_o degree_n of_o the_o equinoctial_a contain_v 20._o english_a league_n and_o every_o league_n 3_o english_a miles_n but_o in_o every_o parallel_n to_o the_o equinoctial_a the_o degree_n diminish_v more_o and_o more_o even_o to_o the_o pole_n where_o they_o end_v in_o a_o point_n therefore_o a_o degree_n in_o any_o parallel_n can_v contain_v so_o many_o mile_n as_o a_o degree_n in_o the_o equinoctial_a now_o that_o you_o may_v know_v how_o many_o mile_n be_v contain_v in_o a_o degree_n of_o any_o parallel_n to_o the_o equinoctial_a do_v thus_o measure_v with_o your_o compass_n the_o width_n of_o any_o number_n of_o degree_n in_o any_o give_a parallel_n suppose_v for_o example_n sake_n 10._o degree_n in_o the_o parallel_n of_o 51½_n examine_v in_o the_o equator_fw-la how_o many_o degree_n of_o the_o equator_fw-la they_o will_v make_v and_o you_o will_v find_v 6⅕_n therefore_o 1._o degree_n in_o the_o equator_fw-la make_v 60_o mile_n 6._o degree_n make_v 360_o to_o which_o add_v for_o the_o 〈◊〉_d part_n 12_o mile_n make_v ●72_n miles_n to_o be_v the_o measure_n of_o 10_o degree_n in_o the_o parallel_n of_o 51½_n so_o that_o by_o divide_v 372._o by_o 10._o you_o have_v ●7_n miles_n for_o the_o length_n of_o a_o degree_n from_o east_n to_o west_n in_o the_o parallel_n of_o 51½_n degree_n prob._n xi_o the_o rhumb_n you_o have_v sail_v upon_o and_o the_o latitude_n you_o depart_v from_o and_o be_v arrive_v to_o give_v to_o find_v the_o difference_n of_o longitude_n and_o the_o number_n of_o league_n you_o have_v sail_v first_o seek_v the_o rhumb_n you_o have_v sail_v on_o and_o pass_v it_o through_o the_o meridian_n till_o it_o cut_v in_o the_o meridian_n the_o latitude_n you_o depart_v from_o and_o keep_v the_o globe_n there_o steady_a make_v a_o mark_n close_o by_o the_o meridian_n under_o that_o latitude_n and_o in_o that_o rhumb_n on_o the_o globe_n and_o note_n in_o the_o equinoctial_a the_o degree_n of_o longitude_n at_o the_o meridian_n then_o pass_v that_o rhumb_n through_o the_o meridian_n again_o till_o it_o cut_v in_o the_o meridian_n the_o latitude_n you_o be_v arrive_v to_o and_o in_o that_o rhumb_n and_o latitude_n make_v on_o the_o globe_n another_o mark_n and_o examine_v in_o the_o equinoctial_a the_o longitude_n of_o the_o second_o mark_n for_o the_o difference_n between_o the_o first_o and_o second_o mark_n be_v the_o difference_n of_o longitude_n then_o open_v your_o compass_n to_o one_o degree_n of_o the_o equinoctial_a and_o by_o measure_v along_o in_o the_o rhumb_n count_v how_o many_o time_n that_o distance_n be_v contain_v between_o the_o two_o point_n in_o that_o rhumb_n for_o so_o many_o time_n 20._o league_n be_v the_o distance_n you_o have_v sail_v example_n i_o sail_v upon_o the_o north_n west_n rhumb_n from_o the_o latitude_n of_o 1●_n degree_n into_o the_o latitude_n of_o 30._o degree_n 40._o minute_n therefore_o i_o find_v the_o north_n west_n rhumb_n and_o turn_v the_o globe_n through_o the_o meridian_n till_o this_o rhumb_n cut_v the_o meridian_n in_o the_o first_o latitude_n viz._n in_o 10._o degree_n and_o direct_o under_o 10._o degree_n upon_o the_o rhumb_n i_o make_v a_o prick_n and_o also_o find_v 10_o degree_n 3_o minute_n of_o the_o equator_fw-la at_o the_o meridian_n for_o the_o longitude_n of_o the_o first_o place_n then_o i_o turn_v the_o globe_n again_o through_o the_o meridian_n till_o the_o same_o rhumb_n cut_v the_o meridian_n in_o the_o second_o latitude_n viz_o in_o 30_o degree_n 40_o minute_n and_o direct_o under_o those_o 30_o degree_n 40_o minute_n upon_o the_o same_o rhumb_n i_o make_v another_o prick_n which_o represent_v the_o place_n i_o be_o arrive_v to_o i_o examine_v the_o longitude_n of_o this_o prick_n as_o before_o and_o find_v it_o 32_o degree_n 10_o minute_n therefore_o i_o subtract_v the_o first_o longitude_n viz._n 10_o degree_n 3_o minute_n from_o the_o second_o longitude_n viz._n 32_o degree_n 10_o minute_n and_o there_o remain_v 22_o degree_n 7_o minute_n for_o the_o difference_n of_o longitude_n then_o for_o examine_v the_o distance_n i_o open_v my_o compass_n to_o 1._o degree_n on_o the_o equinoctial_a and_o measure_n upon_o the_o rhumb_n how_o oft_o that_o distance_n be_v contain_v between_o the_o two_o prick_n and_o find_v 29¼_n that_o be_v 29_o degree_n 15_o minute_n which_o multiply_v by_o 2d_o give_v 585_o for_o the_o number_n of_o league_n fail_v upon_o that_o rhumb_a the_o reason_n why_o i_o open_v the_o compass_n no_o wide_o then_o to_o 1_o degree_n be_v because_o the_o rhumb_n be_v circular_a or_o 〈◊〉_d line_n the_o distance_n on_o they_o may_v be_v measure_v more_o exact_o by_o often_o count_v that_o 1_o degree_n in_o they_o the●_n if_o the_o 〈◊〉_d have_v be_v op●red_v to_o many_o degree_n thus_o if_o the_o compass_n have_v be_v open_v wide_o enough_o to_o reach_v between_o the_o two_o prick_n aforesaid_a i_o shall_v not_o have_v have_v above_o 583_o league_n for_o the_o distance_n between_o the_o two_o place_n neither_o be_v there_o indeed_o more_o great_a circle_n distance_n between_o they_o but_o i_o sail_v upon_o a_o rhumb_n that_o be_v i_o follow_v the_o course_n of_o a_o circular_a wind_a line_n and_o so_o fetch_v a_o compass_n about_o to_o come_v to_o these_o two_o prick_n and_o therefore_o i_o have_v in_o truth_n sail_v 585._o league_n for_o the_o segment_n of_o a_o rhumb_n between_o two_o place_n be_v always_o great_a than_o a_o straight_a line_n draw_v betwixt_o they_o yea_o sometime_o by_o half_a

or_o more_o in_o place_n near_o either_o pole_n note_v if_o you_o be_v not_o very_o curious_a in_o open_v your_o compass_n to_o this_o small_a distance_n you_o may_v in_o oft_o turn_v they_o about_o upon_o the_o rhumb_n commit_v error_n in_o your_o measure_n therefore_o when_o you_o have_v take_v the_o distance_n of_o one_o degree_n try_v if_o you_o neither_o gain_n or_o loose_v any_o thing_n in_o measure_v 10_o or_o 20._o degree_n of_o the_o equinoctial_a by_o they_o for_o then_o your_o compass_n be_v open_v to_o a_o width_n exact_a enough_o for_o your_o purpose_n prob._n xii_o the_o longitude_n and_o latitude_n of_o two_o place_n give_v to_o find_v course_n and_o great_a circle_n distance_n between_o they_o found_a on_o the_o globe_n the_o longitude_n and_o latitude_n give_v and_o make_v prick_n to_o either_o longitude_n and_o latitude_n if_o any_o rhumb_n pass_v from_o one_o place_n to_o the_o other_o that_o be_v without_o more_o a_o do_v the_o rhumb_n seek_v but_o if_o no_o rhumb_n pass_v through_o take_v the_o rhumb_n that_o run_v most_o parallel_n to_o the_o two_o prick_n for_o that_o shall_v be_v the_o rhumb_n or_o the_o near_a rhumb_n that_o these_o two_o prick_n bear_v on_o a_o example_n of_o this_o see_v in_o prob._n 34._o of_o the_o last_o book_n and_o the_o great_a circle_n distance_n between_o these_o two_o prick_n you_o may_v find_v as_o by_o prob_n 33._o of_o the_o same_o book_n prob._n xiii_o the_o latitude_n you_o depart_v from_o and_o the_o latitude_n you_o be_v arrive_v to_o and_o the_o number_n of_o league_n you_o have_v sail_v give_v to_o find_v the_o rhumb_n you_o have_v sail_v on_o and_o difference_n of_o longitude_n make_v a_o prick_n on_o the_o globe_n in_o the_o latitude_n you_o depart_v from_o then_o open_v your_o compass_n to_o the_o number_n of_o league_n you_o have_v sail_v by_o take_v for_o every_o 20._o league_n 1._o degree_n of_o the_o equator_fw-la half_o a_o degree_n for_o 10_o league_n a_o quarter_n of_o a_o degree_n for_o 5_o league_n and_o so_o proportionable_o for_o any_o other_o number_n of_o league_n place_v one_o foot_n of_o your_o compass_n in_o the_o prick_n make_v for_o the_o latitude_n you_o depart_v from_o and_o extend_v the_o other_o towards_o the_o latitude_n you_o be_v arrive_v to_o and_o describe_v a_o occult_a arch_n turn_v the_o globe_n till_o this_o occult_a arch_n come_v to_o the_o latitude_n on_o the_o meridian_n and_o where_o the_o latitude_n cut_v this_o occult_a arch_n make_v another_o prick_n to_o represent_v the_o latitude_n you_o be_v arrive_v to_o so_o shall_v the_o rhumb_n pass_v through_o those_o two_o prick_n or_o that_o be_v most_o parallel_n to_o those_o two_o prick_n be_v as_o in_o the_o last_o prob._n the_o course_n or_o the_o rhumb_n those_o two_o prick_n bear_v on_o the_o difference_n of_o longitude_n you_o may_v find_v as_o by_o prob._n 11._o prob._n fourteen_o to_o find_v by_o the_o globe_n the_o variation_n of_o the_o needle_n common_o call_v the_o variation_n of_o the_o compass_n observe_v by_o a_o compass_n who_o wire_n be_v place_v just_a under_o the_o flower_n deluce_a what_o point_n of_o the_o compass_n the_o sun_n rise_v or_o set_v on_o morning_n or_o evening_n then_o examine_v by_o prob_n 10._o of_o the_o second_o book_n what_o degree_n of_o the_o horizon_n the_o sun_n rise_v or_o set_v on_o by_o the_o globe_n also_o and_o if_o the_o rise_n or_o set_v be_v the_o same_o both_o on_o the_o globe_n and_o compass_n there_o be_v no_o variation_n in_o your_o place_n but_o if_o there_o be_v difference_n between_o the_o rise_n or_o set_v by_o the_o compass_n and_o the_o globe_n then_o be_v there_o variation_n in_o your_o place_n if_o the_o point_n the_o sun_n rise_v upon_o in_o the_o compass_n be_v near_o the_o north_n point_n than_o the_o point_n the_o sun_n rise_v upon_o by_o the_o globe_n the_o variation_n be_v westward_n if_o the_o point_n the_o sun_n set_v upon_o in_o the_o compass_n be_v near_o the_o north_n than_o the_o point_n it_o set_v upon_o by_o the_o globe_n the_o variation_n be_v eastward_n if_o the_o point_n the_o sun_n set_v upon_o in_o the_o compass_n be_v further_o from_o the_o north_n point_n than_o the_o point_n the_o sun_n set_v upon_o by_o the_o globe_n the_o variation_n be_v westward_n if_o the_o point_n the_o sun_n rise_v upon_o in_o the_o compass_n be_v further_o from_o the_o north_n point_v then_o the_o point_n the_o sun_n rise_v upon_o by_o the_o globe_n the_o variation_n be_v eastward_n and_o so_o many_o degree_n as_o there_o be_v between_o the_o point_n of_o rise_v or_o set_v find_v by_o the_o compass_n and_o the_o point_n of_o true_a rise_n or_o set_v find_v by_o the_o globe_n so_o many_o degree_n be_v the_o variation_n from_o the_o north_n towards_o the_o east_n or_o west_n point_n otherwise_o when_o the_o sun_n have_v altitude_n have_v the_o altitude_n of_o the_o sun_n find_v by_o prob._n 22._o of_o the_o second_o book_n its_o azimuth_n then_o examine_v by_o a_o compass_n whether_o the_o true_a azimuth_n find_v by_o the_o globe_n agree_v with_o the_o azimuth_n find_v by_o a_o nautical_a compass_n if_o they_o agree_v there_o be_v no_o variation_n but_o if_o the_o azimuth_n of_o the_o compass_n before_o noon_n be_v near_o the_o north_n than_o the_o true_a azimuth_n find_v by_o the_o globe_n the_o variation_n be_v westward_n if_o the_o azimuth_n by_o the_o compass_n afternoon_n be_v near_o the_o north_n the_o variation_n be_v eastward_n if_o the_o azimuth_n by_o the_o compass_n afternoon_n be_v further_o from_o the_o north_n the_o variation_n be_v westward_n if_o the_o azimuth_n by_o the_o compass_n before_o noon_n be_v further_o from_o the_o north_n the_o variation_n be_v eastward_n and_o this_o variation_n shall_v be_v as_o aforesaid_a so_o many_o degree_n as_o there_o be_v between_o the_o azimuth_n observe_v by_o the_o compass_n and_o the_o true_a azimuth_n observe_v by_o the_o globe_n prob._n xv._n to_o keep_v a_o journal_n by_o the_o globe_n by_o some_o of_o these_o forego_v problem_n you_o may_v daily_o when_o observation_n can_v be_v make_v find_v both_o the_o longitude_n and_o latitude_n on_o the_o globe_n of_o the_o place_n you_o be_v arrive_v to_o and_o also_o the_o way_n the_o ship_n have_v make_v and_o make_v prick_n on_o the_o globe_n in_o their_o proper_a place_n for_o every_o da●●s_n journey_n so_o true_o and_o 〈◊〉_d natural_o that_o if_o you_o keep_v your_o reckon_n aright_o you_o may_v be_v sure_a you_o can_v miss_v any_o thing_n of_o the_o truth_n itself_o and_o that_o with_o less_o trouble_n and_o great_a advantage_n then_o keep_v a_o book_n of_o every_o day_n reckon_v prob._n xvi_o to_o steer_v in_o the_o night_n by_o the_o star_n rectify_v the_o globe_n and_o hour_n index_n as_o by_o prob._n 2._o of_o the_o last_o book_n and_o turn_v about_o the_o globe_n till_o the_o index_n of_o the_o hour_n circle_n point_v to_o the_o hour_n of_o the_o day_n or_o night_n then_o turn_v the_o globe_n till_o the_o difference_n of_o longitude_n between_o the_o place_n you_o depart_v from_o and_o the_o place_v you_o sail_v to_o pass_v through_o the_o meridian_n and_o if_o any_o star_n in_o the_o latitude_n of_o the_o place_n you_o sail_v to_o come_v to_o the_o meridian_n or_o near_o the_o meridian_n with_o the_o degree_n of_o the_o difference_n of_o longitude_n that_o star_n be_v at_o that_o time_n in_o or_o near_o the_o zenith_n of_o that_o place_n you_o sail_n to_o and_o by_o find_v the_o same_o star_n in_o heaven_n as_o by_o prob_n 44._o of_o the_o last_o book_n you_o may_v direct_v your_o ship_n towards_o that_o star_n and_o fail_v as_o confident_o say_v m_n r_o blagrave_n as_o if_o mercury_n be_v your_o guide_n but_o because_o this_o star_n move_v from_o the_o zenith_n of_o this_o place_n you_o must_v often_o examine_v what_o star_n be_v come_v to_o the_o zenith_n and_o so_o often_o charge_v the_o star_n you_o steer_v by_o as_o the_o length_n of_o your_o voyage_n may_v require_v prob._n xvii_o how_o to_o platt_a on_o the_o globe_n a_o new_a land_n never_o before_o discover_v these_o two_o follow_a problem_n be_v 2._o chapter_n of_o m_o r_o wright_n deliver_v by_o he_o as_o follow_v it_o may_v sometime_o fall_v out_o in_o new_a discovery_n or_o when_o your_o ship_n by_o mean_n of_o a_o tempest_n be_v drive_v out_o of_o her_o right_a course_n that_o you_o shall_v come_v to_o the_o sight_n of_o some_o isle_n shall_v or_o new_a land_n whereof_o the_o mariner_n be_v utter_o ignorant_a and_o to_o make_v some_o relation_n of_o the_o same_o or_o to_o go_v unto_o it_o some_o other_o time_n if_o you_o desire_v to_o set_v it_o down_o on_o your_o globe_n in_o the_o true_a place_n you_o may_v do_v it_o after_o this_o manner_n so_o soon_o as_o you_o have_v sight_n

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i_o desire_v they_o to_o consider_v that_o i_o write_v not_o to_o expert_a practitioner_n but_o to_o learner_n to_o who_o example_n may_v prove_v more_o instructive_a than_o precept_n beside_o i_o hope_v to_o encourage_v those_o by_o a_o ample_a liberal_a plainness_n to_o fall_v in_o love_n with_o these_o study_n that_o former_o have_v be_v dishearten_v by_o the_o crabbed_a brevity_n of_o those_o author_n that_o have_v in_o character_n as_o it_o be_v rather_o write_v note_n for_o their_o own_o memory_n then_o sufficient_a document_n for_o their_o reader_n instruction_n the_o globe_n for_o which_o this_o book_n be_v write_v be_v the_o globe_n i_o set_v forth_o about_o four_o year_n ago_o which_o as_o i_o tell_v you_o in_o my_o epistle_n to_o the_o reader_n of_o blaew_n book_n differ_v somewhat_o from_o other_o globe_n and_o that_o both_o the_o celestial_a and_o the_o terrestrial_a my_o be_v the_o late_a do_v of_o any_o and_o to_o the_o accomplish_n of_o which_o i_o have_v not_o only_o have_v the_o help_n of_o all_o or_o most_o of_o the_o best_a of_o other_o globe_n map_n plait_n and_o sea-draft_n of_o new_a discovery_n that_o be_v then_o extant_a for_o the_o terrestrial_a globe_n but_o also_o the_o advice_n and_o direction_n of_o divers_a learned_a and_o able_a mathematician_n both_o in_o england_n and_o holland_n for_o table_n and_o calculation_n both_o of_o line_n and_o star_n for_o the_o celestial_a upon_o which_o globe_n i_o have_v place_v every_o star_n that_o be_v observe_v by_o tycho_n brahe_n one_o degree_n of_o longitude_n far_o in_o the_o ecliptic_a than_o they_o be_v on_o any_o other_o globe_n so_o that_o whereas_o on_o other_o globe_n the_o place_n of_o the_o star_n be_v correspondent_a with_o their_o place_n in_o heaven_n 58._o year_n ago_o when_o tycho_n observe_v they_o and_o therefore_o according_a to_o his_o rule_n want_n about_o 47._o minute_n of_o their_o true_a place_n in_o heaven_n at_o this_o time_n i_o have_v set_v every_o star_n one_o degree_n far_o in_o the_o ecliptic_a and_o rectify_v they_o on_o the_o globe_n according_a to_o the_o true_a place_n they_o will_v have_v in_o heaven_n in_o the_o year_n 1671._o on_o the_o terrestrial_a globe_n i_o have_v insert_v all_o the_o new_a discovery_n that_o have_v be_v make_v either_o by_o our_o own_o or_o foreign_a navigator_n and_o that_o both_o in_o the_o east_n west_n north_n and_o south_n part_n of_o the_o earth_n in_o the_o east_n indies_n we_o have_v by_o these_o late_a time_n many_o spacious_a place_n discover_v many_o land_n insert_v and_o general_o the_o whole_a draft_n of_o the_o country_n rectify_v and_o amend_v even_o to_o the_o coast_n of_o china_n japan_n giloli_n etc._n etc._n in_o the_o south_n sea_n between_o the_o east_n and_o west_n indies_n be_v scatter_v many_o land_n which_o for_o the_o uncertain_a knowledge_n former_a time_n have_v of_o they_o be_v either_o whole_o leave_v out_o of_o other_o globe_n or_o else_o lay_v down_o so_o

the_o night_n and_o day_n 42_o prob._n 8._o to_o find_v the_o hour_n of_o sun_n set._n 42_o prob._n 9_o to_o find_v how_o long_o it_o be_v twilight_n in_o the_o morning_n and_o evening_n 43_o prob._n 10._o the_o sun_n place_v give_v to_o find_v its_o amplitude_n and_o also_o to_o know_v upon_o what_o point_n of_o the_o compass_n it_o rise_v 44_o prob._n 11_o the_o hour_n of_o the_o day_n give_v to_o find_v the_o height_n of_o the_o sun_n 45_o prob._n 12._o the_o altitude_n of_o the_o sun_n and_o day_n of_o the_o month_n give_v to_o find_v the_o hour_n of_o the_o day_n fol._n 46_o prob._n 13._o how_o to_o know_v whether_o it_o be_v before_o or_o after_o noon_n 47_o how_o to_o take_v altitude_n by_o the_o quadrant_n astrolabe_n and_o crossstaff_n 47_o to_o take_v altitude_n by_o the_o astrolabe_n 50_o to_o take_v altitude_n by_o the_o crossstaff_n 51_o prob._n 14._o to_o observe_v with_o the_o globe_n the_o altitude_n of_o the_o sun_n 52_o prob._n 15._o to_o find_v the_o elevation_n of_o the_o pole●_n by_o the_o meridian_n altitude_n of_o the_o sun_n and_o day_n of_o the_o month_n give_v 53_o prob._n 16._o to_o take_v the_o altitude_n of_o any_o star_n above_o the_o horizon_n by_o the_o globe_n 54_o prob._n 17._o by_o the_o meridian_n altitude_n of_o any_o star_n give_v to_o find_v the_o height_n of_o the_o pole_n 54_o prob._n 18._o another_o way_n to_o find_v the_o height_n of_o the_o pole_n by_o the_o globe_n if_o the_o place_n of_o the_o sun_n be_v give_v and_o also_o to_o find_v the_o hour_n of_o the_o day_n and_o azimuth_n and_o almicanter_n of_o the_o sun_n 56_o prob._n 19_o to_o observe_v by_o the_o globe_n the_o distance_n of_o two_o star_n 57_o prob._n 20._o how_o you_o may_v learn_v to_o give_v a_o guess_n at_o the_o number_n of_o degree_n that_o any_o two_o star_n be_v distant_a from_o one_o another_o or_o the_o number_n of_o degree_n of_o altitude_n the_o sun_n or_o any_o star_n be_v elevate_v above_o the_o horizon_n only_o by_o look_v up_o to_o heaven_n without_o any_o instrument_n 58_o prob._n 21._o the_o day_n of_o the_o month_n and_o altitude_n of_o any_o star_n give_v to_o find_v the_o hour_n of_o the_o night_n 59_o prob._n 22._o the_o place_n of_o the_o sun_n and_o hour_n of_o the_o day_n give_v to_o find_v its_o azimuth_n in_o any_o latitude_n assign_v 60_o prob._n 23._o the_o place_n of_o the_o sun_n and_o hour_n of_o the_o day_n give_v to_o find_v the_o almicantar_n of_o the_o sun_n 61_o prob._n 24._o the_o place_n of_o the_o sun_n give_v to_o find_v what_o hour_n it_o come_v to_o the_o east_n or_o west_n and_o what_o almicantar_n it_o then_o shall_v have_v 61_o prob._n 25._o to_o know_v at_o any_o time_n what_o a_o clock_n it_o be_v in_o any_o other_o part_n of_o the_o earth_n 62_o prob._n 26._o to_o find_v the_o right_a ascension_n of_o the_o sun_n or_o star_n 63_o prob._n 27._o to_o find_v the_o declination_n of_o the_o sun_n or_o star_n 64_o a_o table_n of_o the_o right_a ascension_n and_o declination_n of_o 100_o select_a fix_a star_n calculate_v by_o tycho_n brahe_n for_o the_o year_n 1600_o and_o 1670._o as_o also_o their_o difference_n of_o right_a ascension_n and_o declination_n in_o 70._o year_n 65_o prob._n 28._o the_o place_n of_o the_o sun_n or_o any_o star_n give_v to_o find_v the_o right_a descension_n and_o the_o oblique_a ascension_n and_o the_o oblque_fw-fr descension_n fol._n 71_o prob._n 29._o any_o place_n on_o the_o terrestrial_a globe_n be_v give_v to_o find_v its_o antipode_n 72_o prob._n 30._o to_o find_v the_o perecij_n of_o any_o give_a place_n by_o the_o terrestrial_a globe_n 73_o prob._n 31._o to_o find_v the_o antecij_n of_o any_o give_a place_n upon_o the_o terrestrial_a globe_n 73_o prob._n 32._o to_o find_v the_o longitude_n and_o latitude_n of_o the_o star_n by_o the_o celestial_a globe_n 73_o prob._n 33._o to_o find_v the_o distance_n between_o any_o two_o place_n on_o the_o terrestrial_a globe_n 74_o prob._n 34._o to_o find_v by_o the_o terrestrial_a globe_n upon_o what_o point_n of_o the_o compass_n any_o 〈◊〉_d place_n be_v situate_a one_o from_o another_o 75_o prob._n 35._o to_o find_v by_o the_o celestial_a globe_n the_o cosmical_a rise_n and_o set_v of_o the_o star_n 76_o prob._n 36._o to_o find_v by_o the_o celestial_a globe_n the_o acronical_a rise_n and_o set_v of_o the_o star_n 77_o prob._n 37._o to_o find_v by_o the_o celestial_a globe_n the_o heliacal_a rise_n and_o set_v of_o the_o star_n 78_o prob._n 38._o to_o find_v the_o diurnal_a and_o nocturnal_a arch_n of_o the_o sun_n or_o star_n in_o any_o give_a latitude_n 79_o prob._n 39_o to_o find_v the_o azimuth_n and_o almicantar_n of_o any_o star_n 81_o prob._n 40._o to_o find_v the_o hour_n of_o the_o night_n by_o observe_v two_o know_v star_n in_o one_o azimuth_n or_o almicantar_n 81_o prob._n 41._o the_o hour_n give_v that_o any_o star_n in_o heaven_n come_v to_o the_o meridian_n to_o know_v thereby_o the_o place_n of_o the_o sun_n and_o by_o consequence_n the_o day_n of_o the_o month_n though_o it_o be_v lose_v 82_o prob._n 42._o the_o day_n of_o the_o month_n give_v to_o find_v in_o the_o circle_n of_o letter_n on_o the_o plain_a of_o the_o horizon_n the_o day_n of_o the_o week_n 83_o prob._n 43._o the_o azimuth_n of_o any_o star_n give_v to_o find_v its_o hour_n in_o any_o give_a latitude_n 84_o prob._n 44._o how_o you_o may_v learn_v to_o know_v all_o the_o star_n in_o heaven_n by_o the_o celestial_a globe_n 84_o prob._n 45._o how_o to_o hang_v the_o terrestrial_a globe_n in_o such_o a_o position_n that_o by_o the_o sun_n shine_v upon_o it_o you_o may_v with_o great_a delight_n at_o once_o behold_v the_o demonstration_n of_o many_o principle_n in_o astronomy_n and_o geography_n 89_o prob._n 46._o to_o know_v by_o the_o terrestrial_a globe_n in_o the_o zenith_n of_o what_o place_n of_o the_o earth_n the_o s●●_n be_v 91_o prob._n 47._o to_o find_v in_o what_o different_a place_n of_o the_o earth_n the_o sun_n have_v the_o same_o altitude_n at_o the_o same_o time_n 92_o prob._n 48._o to_o find_v the_o length_n of_o the_o long_a and_o short_a artificial_a day_n or_o night_n 95_o prob._n 49._o to_o find_v how_o much_o the_o pole_n be_v raise_v or_o depress_v where_o the_o long_a day_n be_v a_o hour_n long_o or_o short_a than_o it_o be_v in_o your_o habitation_n 96_o prob._n 50._o the_o sun_n place_v give_v to_o find_v what_o alteration_n of_o declination_n he_o must_v have_v to_o make_v the_o day_n a_o hour_n long_o or_o short_a and_o in_o what_o number_n of_o day_n it_o will_v be_v 97_o prob._n 51._o of_o the_o difference_n of_o civil_a and_o natural_a day_n common_o call_v the_o equation_n of_o civil_a day_n and_o how_o it_o may_v be_v find_v by_o the_o globe_n 99_o prob._n 52._o how_o to_o find_v the_o hour_n of_o the_o night_n when_o the_o moon_n shine_v on_o a_o sun_n dyal_n by_o help_n of_o the_o globe_n 101_o prob._n 53._o to_o find_v the_o dominical_a letter_n the_o prime_n epact_n easter_n day_n and_o the_o rest_n of_o the_o movable_a feast_n for_o ever_o 102_o prob._n 54._o the_o age_n of_o the_o moon_n give_v to_o find_v her_o place_n in_o the_o ecliptic_a according_a to_o her_o mean_a motion_n 104_o prob._n 55._o have_v the_o longitude_n and_o latitude_n or_o right_a ascension_n and_o declination_n of_o any_o planet_n or_o comet_n to_o place_v it_o on_o the_o globe_n to_o correspond_v with_o its_o place_n in_o heaven_n 105_o the_o content_n of_o the_o three_o book_n prob._n 1._o the_o sun_n amplitude_n and_o difference_n of_o ascension_n give_v to_o find_v the_o height_n of_o the_o pole_n and_o declination_n of_o the_o sun_n 108_o prob._n 2._o the_o sun_n declination_n and_o amplitude_n give_v to_o find_v the_o pole_n elevation_n 108_o prob._n 3._o the_o sun_n declination_n and_o hour_n at_o east_n give_v to_o find_v the_o height_n of_o the_o pole_n 109_o prob._n 4._o the_o declination_n of_o the_o sun_n and_o his_o altitude_n at_o east_n give_v to_o find_v the_o height_n of_o the_o pole_n 110_o prob._n 5._o by_o the_o sun_n declination_n and_o azimuth_n at_o 6_o of_o the_o clock_n give_v to_o find_v the_o height_n of_o the_o pole_n and_o almicantar_n at_o 6._o 11●_n prob._n 6._o by_o the_o hour_n of_o the_o night_n and_o a_o know_a star_n observe_v rise_v or_o set_v to_o find_v the_o height_n of_o the_o pole_n fol._n 112_o prob._n 7._o two_o place_n give_v in_o the_o same_o latitude_n to_o find_v the_o difference_n of_o longitude_n 112_o prob._n 8._o two_o place_n give_v in_o the_o same_o longitude_n to_o find_v the_o difference_n of_o latitude_n 113_o prob._n 9_o course_n and_o distance_n between_o two_o place_n give_v to_o find_v their_o

difference_n in_o longitude_n and_o latitude_n 113_o prob._n 10._o to_o find_v how_o many_o mile_n be_v contain_v in_o a_o degree_n of_o any_o parallel_n 114_o prob._n 11._o the_o rhumb_n you_o have_v sail_v upon_o and_o the_o latitude_n you_o depart_v from_o and_o be_v arrive_v to_o give_v to_o find_v the_o difference_n of_o longitude_n and_o the_o number_n of_o league_n you_o have_v sail_v 114_o prob._n 12._o the_o longitude_n and_o latitude_n of_o two_o place_n give_v to_o find_v course_n and_o great_a circle_n distance_n between_o they_o 116_o prob._n 13._o the_o latitude_n you_o depart_v from_o and_o the_o latitude_n you_o be_v arrive_v to_o and_o the_o number_n of_o league_n you_o have_v sail_v give_v to_o find_v the_o rhumb_n you_o have_v sail_v on_o and_o difference_n of_o longitude_n 116_o prob._n 14._o to_o find_v by_o the_o globe_n the_o variation_n of_o the_o needle_n common_o call_v the_o variation_n of_o the_o compass_n 117_o prob._n 15._o to_o keep_v a_o journal_n by_o the_o globe_n 118_o prob._n 16._o to_o steer_v in_o the_o night_n by_o the_o star_n 119_o prob._n 17._o how_o to_o platt_a on_o the_o globe_n a_o new_a land_n never_o before_o discover_v 119_o prob._n 18._o see_v two_o know_a point_n or_o cape_n of_o land_n as_o you_o sail_v along_o how_o to_o know_v the_o distance_n of_o your_o ship_n from_o they_o 120_o prob._n 19_o of_o tide_n and_o how_o by_o help_n of_o the_o globe_n you_o may_v in_o general_a judge_n of_o they_o 121_o the_o content_n of_o the_o four_o book_n prob_n 1_o to_o erect_v a_o figure_n of_o the_o 12_o house_n of_o heaven_n 123_o prob._n 2._o ●o_o erect_v a_o figure_n of_o heaven_n according_a to_o campanus_n 128_o prob._n 3._o to_o find_v the_o length_n of_o a_o planetary_a hour_n 129_o prob._n 4._o the_o length_n of_o a_o planetary_a hour_n know_v to_o find_v what_o planet_n reign_v any_o give_a hour_n of_o the_o day_n or_o night_n fol._n 131_o prob._n 5._o to_o find_v part_n of_o fortune_n by_o the_o globe_n 132_o prob._n 6._o to_o find_v in_o what_o circle_n of_o position_n any_o star_n or_o any_o degree_n of_o the_o ecliptic_a be_v 133_o prob._n 7._o to_o find_v the_o right_a ascension_n the_o oblique_a ascension_n and_o the_o declination_n of_o the_o planet_n 133_o prob._n 8._o how_o to_o direct_v a_o figure_n by_o the_o globe_n 134_o prob._n 9_o of_o revolution_n and_o how_o they_o be_v find_v by_o the_o globe_n 135_o prob._n 10._o how_o a_o figure_n of_o heaven_n may_v be_v erect_v by_o the_o revolution_n thus_o find_v 135_o the_o content_n of_o the_o five_o book_n prob._n 1._o how_o by_o one_o position_n of_o the_o globe_n to_o find_v the_o distance_n of_o the_o hour_n line_n on_o all_o manner_n of_o planes_n fol._n 143_o prob._n 2._o to_o make_v a_o equinoctial_a dyal_n 147_o prob._n 3._o to_o make_v a_o horizontal_n dyal_n 149_o prob._n 4._o to_o make_v a_o erect_a direct_a south_n dyal_n 153_o prob._n 5._o to_o make_v a_o erect_a direct_a north_n dyal_n 156_o prob._n 6._o to_o make_v a_o erect_a direct_a east_n dyal_n 156_o prob._n 7._o to_o make_v a_o erect_a direct_a west_n dyal_n 159_o prob._n 8._o to_o make_v a_o polar_a dyal_n 159_o prob._n 9_o to_o make_v erect_a south_n dial_n decline_a eastward_n or_o westward_n 160_o prob._n 10._o to_o make_v a_o north_n erect_v dyal_n decline_v eastward_n or_o westward_n 163_o prob._n 11._o to_o make_v direct_a reeline_a or_o incline_v dial_n 164_o prob._n 12._o to_o make_v decline_a reclining_a or_o decline_a incline_v dial_n 164_o prob._n 13._o to_o make_v a_o dyal_n upon_o a_o decline_a incline_v plane_n 168_o prob._n 14._o to_o find_v in_o what_o place_n of_o the_o earth_n any_o manner_n of_o plane_n that_o in_o your_o habitation_n be_v not_o horizontal_n shall_v be_v horizontal_n 171_o prob._n 15._o to_o make_v a_o dyal_n on_o the_o ●e●ling_n of_o a_o room_n where_o the_o direct_a beam_n of_o the_o sun_n never_o come_v 175_o prob._n 16._o to_o make_v a_o dyal_n upon_o a_o solid_a ball_n or_o globe_n that_o shall_v show_v the_o hour_n of_o the_o day_n without_o a_o gnomon_n 178_o prob._n 17._o to_o make_v a_o dyal_n upon_o a_o glass_n globe_n who_o axis_n shall_v cast_v a_o shadow_n upon_o the_o hour_n of_o the_o day_n 180_o the_o content_n of_o the_o six_o book_n of_o the_o part_n and_o kind_n of_o spherical_a triangle_n fol._n 183_o prob._n 1._o the_o leg_n of_o a_o right_o angle_v spherical_a triangle_n give_v to_o find_v the_o hypothenusa_n and_o the_o two_o other_o angles_n 184_o prob._n 2._o a_o leg_n and_o the_o hypothenusa_n give_v to_o find_v the_o rest._n 187_o prob._n 3._o the_o hypothenusa_n and_o a_o angle_n give_v to_o find_v the_o rest._n 187_o prob._n 4._o a_o leg_n and_o angle_n adjoin_v give_v to_o find_v the_o rest._n 188_o prob._n 5._o a_o leg_n and_o the_o angle_n opposite_a give_v to_o find_v the_o rest._n 188_o prob._n 6._o the_o angle_n give_v to_o find_v the_o side_n 189_o prob._n 7._o oblique_a triangle_n the_o three_o side_n give_v to_o find_v the_o angles_n 190_o prob._n 8._o two_o side_n and_o the_o angle_n contain_v between_o they_o give_v to_o find_v the_o rest._n 193_o prob._n 9_o two_o side_n and_o a_o angle_n opposite_a to_o one_o of_o they_o give_v to_o find_v the_o rest._n 194_o prob._n 10._o two_o angle_n and_o the_o side_n comprehend_v between_o they_o give_v to_o find_v the_o rest._n 194_o prob._n 11._o two_o angle_n and_o a_o side_n opposite_a to_o one_o of_o they_o give_v to_o find_v the_o rest._n 195_o prob._n 12._o three_o angle_n give_v to_o find_v the_o side_n 196_o prob._n 13._o how_o to_o let_v fall_v a_o perpendicular_a that_o shall_v divide_v any_o oblique_a spherical_a triangle_n into_o two_o right_a angle_a spherical_a triangle_n 198_o the_o poetical_a story_n of_o the_o constellation_n in_o heaven_n 200_o the_o first_o book_n be_v the_o first_o rudiment_n of_o astronomy_n &_o geography_n or_o a_o description_n of_o the_o line_n circle_n and_o other_o part_n of_o the_o globe_n preface_n the_o student_n of_o all_o art_n 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forth_o witness_n magellanicus_n sr._n francis_n drake_n tho._n cavendish_n oliver_n vander_v noort_n w._n schouten_n etc._n etc._n second_o by_o the_o length_n of_o degree_n in_o every_o parallel_n for_o it_o be_v find_v by_o daily_o observation_n that_o the_o degree_n of_o every_o parallel_n upon_o the_o earth_n hold_v the_o same_o proportion_n to_o the_o degree_n of_o the_o equinoctial_a as_o the_o degree_n of_o the_o same_o parallel_n upon_o a_o artificial_a globe_n or_o sphere_n do_v to_o the_o degree_n of_o the_o great_a circle_n of_o the_o same_o this_o argument_n alone_o be_v sufficient_a yet_o take_v one_o more_o from_o visible_a appearance_n and_o that_o be_v this_o the_o shadow_n which_o the_o earth_n and_o water_n together_o make_v in_o the_o eclipse_n of_o

these_o figure_n and_o not_o into_o other_o be_v move_v thereto_o by_o these_o three_o reason_n first_o these_o figure_n express_v some_o property_n of_o the_o star_n that_o be_v in_o they_o as_o those_o of_o the_o ram_n to_o be_v hot_a and_o dry_a andromeda_n chain_v betoken_v imprisonment_n the_o head_n of_o medusa_n cut_v off_o signify_v the_o loss_n of_o that_o part_n orion_n with_o his_o terrible_a and_o threaten_a gesture_n import_v tempest_n and_o terrible_a effect_n the_o serpent_n the_o scorpion_n and_o the_o dragon_n signify_v poison_n the_o bull_n insinuate_v a_o melancholy_a passion_n the_o bear_n infer_v cruelty_n etc._n etc._n second_o the_o star_n if_o not_o precise_o yet_o after_o a_o sort_n do_v represent_v such_o a_o figure_n and_o therefore_o that_o figure_n be_v assign_v they_o as_o for_o example_n the_o crown_n both_o north_n and_o south_n the_o scorpion_n and_o the_o triangle_n represent_v the_o figure_n which_o they_o have_v the_o three_o cause_n be_v the_o 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utter_o neglect_v hereupon_o they_o begin_v to_o set_v forth_o that_o art_n under_o fiction_n that_o thereby_o such_o as_o can_v not_o be_v persuade_v by_o commodity_n may_v by_o the_o pleasure_n be_v induce_v to_o take_v a_o view_n of_o these_o matter_n and_o thereby_o at_o length_n fall_v in_o love_n with_o they_o for_o common_o you_o shall_v note_v this_o that_o he_o that_o be_v ready_a to_o read_v the_o story_n can_v content_v himself_o therewith_o but_o desire_v also_o to_o know_v the_o constellation_n or_o at_o leastwise_o some_o principal_a star_n therein_o there_o be_v in_o heaven_n yet_o twelve_o constellation_n more_o posit_v about_o the_o south_n pole_n which_o be_v add_v by_o frederic●_n ho●tmanno_n inhabit_v on_o the_o island_n sumatra_n who_o be_v accommodate_v with_o the_o instrument_n of_o that_o immortal_a tycho_n have_v observe_v the_o longitude_n and_o latitude_n of_o those_o star_n reduce_v they_o into_o constellation_n and_o name_v they_o as_o follow_v 1_o the_o crane_n 2_o the_o phoenix_n 3_o the_o indian_a 4_o the_o peacock_n 5_o the_o bird_n of_o paradise_n 6_o the_o fly_n 7_o the_o chameleon_n 8_o the_o south_n triangle_n 9_o the_o fly_a fish_n 10_o dorado_n 11_o the_o indian_a fowl_n 12_o the_o southern_a serpent_n xi_o of_o the_o number_n of_o the_o star_n although_o in_o heaven_n there_o be_v a_o very_a great_a number_n of_o visible_a star_n which_o for_o their_o multitude_n seem_v innumerable_a yet_o no_o wise_a man_n will_v from_o thence_o infer_v that_o they_o be_v impossible_a to_o be_v count_v for_o there_o be_v no_o star_n in_o heaven_n that_o may_v be_v see_v but_o its_o longitude_n and_o latitude_n may_v with_o meet_a instrument_n for_o that_o purpose_n be_v exact_o find_v and_o be_v once_o find_v it_o may_v have_v a_o name_n allot_v it_o which_o with_o its_o longitude_n and_o latitude_n may_v be_v catalogize_v either_o for_o the_o memory_n of_o the_o observer_n or_o the_o knowledge_n of_o posterity_n now_o therefore_o if_o any_o one_o star_n may_v be_v observe_v they_o may_v all_o be_v observe_v and_o then_o may_v they_o all_o have_v name_n give_v they_o which_o though_o to_o the_o ignorant_a it_o seem_v uncredible_a yet_o to_o the_o son_n of_o god_n as_o josephus_n call_v astronomer_n who_o herein_o participate_v of_o their_o father_n knowledge_n it_o be_v easy_a to_o number_v the_o star_n and_o call_v they_o all_o by_o their_o name_n psal._n 97_o 4._o but_o though_o all_o the_o star_n in_o heaven_n may_v be_v number_v and_o name_v yet_o have_v not_o the_o ancient_a astronomer_n think_v fit_a to_o take_v notice_n of_o more_o than_o 1025_o of_o the_o chief_a that_o be_v visible_a in_o our_o horizon_n they_o be_v sufficient_a for_o any_o purpose_n that_o we_o shall_v have_v occasion_n to_o apply_v they_o unto_o yet_o of_o late_a the_o industry_n of_o frederick_n houtman_n aforesaid_a have_v add_v to_o the_o catalogue_n 136_o star_n with_o their_o longitude_n latitude_n and_o magnitude_n and_o give_v 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latitude_n of_o any_o star_n upon_o the_o celestial_a globe_n a_o arch_n of_o a_o semicircle_n of_o longitude_n comprehend_v between_o the_o equinoctial_a and_o the_o star_n inquire_v after_o xiii_o of_o the_o magnitude_n of_o the_o star_n for_o the_o better_a distinction_n of_o the_o several_a size_n of_o star_n they_o be_v divide_v into_o six_o several_a magnitude_n the_o big_a and_o bright_a star_n be_v call_v star_n of_o the_o first_o magnitude_n those_o one_o degree_n inferior_a in_o light_n and_o bigness_n be_v call_v star_n of_o the_o second_o magnitude_n those_o again_o one_o degree_n inferior_a to_o the_o star_n of_o the_o second_o magnitude_n be_v call_v star_n of_o the_o three_o magnitude_n and_o so_o the_o star_n gradual_o decrease_v unto_o the_o six_o magnitude_n which_o be_v the_o small_a some_o few_o obscure_a star_n only_o except_v which_o for_o their_o minority_n and_o dimness_n be_v call_v nebula_fw-la these_o several_a magnitude_n of_o

incline_v in_o motion_n to_o and_o other_o time_n to_o decline_v in_o motion_n from_o the_o equinoctial_a but_o how_o long_a time_n it_o will_v be_v ●re_n the_o star_n incline_v to_o or_o decline_v from_o the_o equinoctial_a you_o may_v know_v by_o find_v the_o distance_n of_o longitude_n in_o degree_n it_o have_v from_o either_o the_o solsticial_a or_o hy●mnal_a colour_n and_o with_o respect_v the_o forego_n rule_n in_o its_o position_n you_o may_v by_o the_o table_n in_o book_n 1_o chap._n 3._o sect._n 3_o satisfy_v yourself_o example_n the_o most_o northerly_a star_n in_o the_o girdle_n of_o orion_n do_v yet_o decrease_v in_o declination_n but_o i_o will_v know_v how_o long_o it_o shall_v decrease_v therefore_o by_o the_o 32._o problem_n i_o find_v the_o longitude_n of_o that_o star_n to_o be_v for_o the_o year_n 1670._o 77._o deg_n 51._o min._n which_o subduct_v out_o of_o 90_o the_o distance_n of_o the_o solsticial_a colour_n from_o the_o equinoctial_a leave_v 12._o 9_o for_o the_o distance_n of_o that_o star_n from_o the_o solsticial_a colour_n therefore_o by_o the_o table_n aforesaid_a i_o find_v what_o number_n of_o year_n answer_v to_o the_o motion_n of_o 12._o deg_n 9_o min._n and_o because_o i_o can_v find_v exact_o the_o same_o number_n of_o degree_n and_o minute_n in_o the_o table_n i_o take_v the_o number_n near_o to_o it_o which_o be_v 14._o degree_n 10._o minute_n and_o that_o be_v the_o motion_n of_o the_o ecliptic_a in_o 1000_o year_n but_o because_o this_o 14._o degree_n 10._o minute_n be_v 2._o degree_n 1._o minute_n too_o much_o i_o seek_v 2._o degree_n 1._o min._n in_o the_o table_n and_o the_o number_n of_o year_n against_o it_o i_o will_v subduct_v from_o the_o number_n of_o year_n against_o 14_o deg_n 10._o min._n and_o the_o remainder_n will_v be_v the_o number_n of_o year_n require_v but_o 2._o deg_n 1._o min._n i_o can_v find_v neither_o therefore_o i_o must_v take_v the_o number_n of_o degree_n and_o minute_n near_o to_o it_o which_o be_v 2._o deg_n 50._o min._n and_o that_o yield_v 200._o year_n which_o subduct_v out_o of_o 1000_o leaf_n 800._o year_n but_o because_o this_o be_v also_o too_o much_o by_o the_o motion_n of_o 49._o min._n therefore_o i_o seek_v for_o 49._o min._n in_o the_o table_n and_o subduct_v the_o number_n of_o year_n against_o it_o from_o 800_o and_o the_o remainder_n will_v be_v the_o number_n of_o year_n require_v but_o 49._o min._n be_v not_o in_o the_o table_n neither_o therefore_o i_o take_v the_o near_a to_o it_o which_o be_v 51._o min._n and_o that_o yield_v 60._o year_n which_o subduct_v out_o of_o 800._o leaf_n 740._o but_o this_o be_v likewise_o too_o much_o by_o the_o motion_n of_o two_o min._n therefore_o i_o seek_v 2._o min._n in_o the_o table_n but_o can_v find_v it_o near_o than_o 2½_n and_o against_o it_o i_o find_v 3._o year_n which_o 3._o year_n i_o subduct_v out_o of_o 740_o and_o the_o remainder_n be_v 737._o the_o number_n in_o year_n require_v you_o may_v if_o you_o please_v for_o exactness_n subduct_v for_o the_o ½_o min._n 8._o month_n so_o have_v you_o 736_o year_n 4._o month_n for_o the_o time_n that_o the_o most_o northerly_a star_n in_o the_o girdle_n of_o orion_n will_v decrease_v in_o declination_n after_o the_o year_n 1670._o which_o will_v be_v till_o an._n dom._n ●406_n after_o which_o time_n it_o will_v increase_v in_o declination_n for_o 12706._o year_n together_o till_o it_o come_v to_o have_v 47._o degree_n 8._o min._n of_o declination_n at_o which_o time_n it_o will_v be_v in_o or_o very_a near_o the_o place_n of_o the_o most_o southerly_a star_n of_o the_o southern_a crown_n and_o that_o star_n in_o its_o place_n and_o thus_o the_o pole_n star_n be_v now_o find_v to_o increase_v in_o declination_n and_o will_v yet_o this_o 421_o year_n after_o which_o time_n it_o will_v decrease_v in_o declination_n for_o 12706_o year_n together_o till_o it_o come_v to_o be_v within_o 42._o degree_n 42._o minute_n of_o the_o equinoctial_a in_o the_o void_a space_n now_o between_o draco_n and_o lyra_n at_o which_o time_n lyra_n will_v be_v almost_o as_o near_o the_o pole_n as_o the_o pole_n star_n now_o be_v and_o then_o the_o most_o proper_a to_o be_v the_o northern_a pole_n star_n and_o the_o last_o star_n in_o the_o stalk_v of_o the_o dove_n mouth_n will_v be_v then_o very_a near_o the_o southern_a pole_n and_o therefore_o most_o fit_a to_o be_v the_o southern_a polestar_n prob._n xxviii_o the_o place_n of_o the_o sun_n or_o any_o star_n give_v to_o find_v the_o right_a descension_n and_o the_o oblique_a ascension_n and_o the_o oblique_a descension_n bring_v the_o place_n of_o the_o sun_n or_o the_o star_n to_o the_o meridian_n under_o the_o horizon_n and_o the_o degree_n of_o the_o equator_fw-la that_o come_v to_o the_o meridian_n with_o it_o be_v the_o degree_n of_o right_a descension_n for_o the_o oblique_a ascension_n bring_v the_o place_n of_o the_o sun_n or_o the_o star_n to_o the_o east_n side_n the_o horizon_n and_o the_o degree_n of_o the_o equator_fw-la cut_v by_o the_o horizon_n be_v the_o degree_n of_o oblique_a ascension_n of_o the_o sun_n or_o star_n for_o the_o oblique_a descension_n bring_v the_o place_n of_o the_o sun_n or_o star_n to_o the_o west_n side_n the_o horizon_n and_o the_o degree_n of_o the_o equinoctial_a cut_n by_o the_o horizon_n be_v the_o degree_n of_o oblique_a descension_n they_o need_v no_o example_n prob._n xxix_o any_o place_n on_o the_o terrestrial_a globe_n be_v give_v to_o find_v its_o antipode_n bring_v the_o give_v place_n to_o the_o meridian_n so_o may_v you_o as_o by_o the_o first_o problem_n see_v its_o longitude_n and_o latitude_n then_o turn_v about_o the_o globe_n till_o 180._o degree_n of_o the_o equator_fw-la pass_v through_o the_o meridian_n and_o keep_v the_o globe_n to_o this_o position_n number_n on_o the_o meridian_n 180._o degree_n from_o the_o latitude_n of_o the_o give_v place_n and_o the_o point_n just_a under_o that_o degree_n be_v the_o antipode_n example_n i_o will_v find_v the_o antipode_n of_o cuida_n real_a a_o inland_a town_n of_o the_o west_n indies_n which_o lie_v upon_o the_o river_n parana_n a_o arm_n of_o rio_n de_fw-fr la_fw-fr plata_fw-la therefore_o i_o bring_v cuida_n real_a to_o the_o meridian_n and_o find_v as_o by_o the_o first_o problem_n its_o latitude_n 23._o 50_o south_n and_o its_o longitude_n 333._o degree_n then_o i_o turn_v about_o the_o globe_n till_o 180._o degree_n of_o the_o equator_fw-la pass_v through_o the_o meridian_n and_o keep_v the_o globe_n to_o that_o position_n i_o number_v so_o many_o degree_n north_n latitude_n as_o parana_n have_v south_n viz._n 23_o 50_o and_o just_a under_o that_o degree_n i_o find_v lamoo_n a_o town_n lie_v upon_o the_o coast_n of_o china_n in_o the_o province_n of_o quancij_fw-la therefore_o i_o say_v lamoo_n be_v just_a the_o antipode_n of_o cuida_n real_a another_o way_n bring_v the_o give_v place_n to_o the_o north_n or_o south_n point_n of_o the_o horizon_n and_o the_o point_n of_o the_o globe_n denote_v by_o the_o opposite_a point_n of_o the_o horizon_n be_v the_o antipode_n of_o the_o give_v place_n prob._n xxx_o to_o find_v the_o perecij_n of_o any_o give_a place_n by_o the_o terrestrial_a globe_n bring_v your_o place_n to_o that_o side_n the_o meridian_n which_o be_v in_o the_o south_n notch_v of_o the_o horizon_n and_o follow_v the_o parallel_n of_o that_o place_n on_o the_o globe_n till_o you_o come_v to_o that_o side_n the_o meridian_n which_o be_v in_o the_o northern_a notch_n of_o the_o horizon_n and_o that_o be_v the_o perecij_n of_o your_o place_n prob._n xxxi_o to_o find_v the_o antecij_n of_o any_o give_a place_n upon_o the_o terrestrial_a globe_n bring_v your_o place_n to_o the_o meridian_n and_o find_v its_o latitude_n by_o the_o first_o problem_n if_o it_o have_v north_n latitude_n count_v the_o same_o number_n of_o degree_n on_o the_o meridian_n from_o the_o equator_fw-la southwards_o but_o if_o it_o have_v south_n latitude_n count_v the_o same_o number_n of_o degree_n from_o the_o equator_fw-la northwards_o and_o the_o point_n of_o the_o globe_n direct_o under_o that_o number_n of_o degree_n be_v the_o antecij_n of_o your_o place_n prob._n xxxii_o to_o find_v the_o longitude_n and_o latitude_n of_o the_o star_n by_o the_o celestial_a globe_n the_o quadrant_n of_o altitude_n will_v reach_v but_o 90._o degree_n as_o be_v say_v prob._n 9_o therefore_o if_o the_o star_n you_o inquire_v after_o be_v on_o the_o north_n side_n the_o ecliptic_a you_o must_v elevate_v the_o north_n pole_n 66½_n degree_n above_o the_o north_n side_n the_o horizon_n if_o on_o the_o south_n side_n the_o ecliptic_a you_o must_v elevate_v the_o south_n nole_n 66½_n degree_n above_o the_o south_n side_n the_o horizon_n then_o bring_v the_o

what_o elevation_n of_o the_o pole_n the_o day_n shall_v be_v a_o hour_n short_a by_o this_o problem_n may_v be_v find_v the_o alteration_n of_o climate_n for_o as_o be_v say_v in_o the_o definition_n of_o climate_n book_n 1._o fol._n 28._o climate_n alter_v according_a to_o the_o half-hourly_a increase_n of_o the_o long_a day_n therefore_o the_o latitude_n of_o 56½_n degree_n have_v its_o day_n increase_v a_o whole_a hour_n be_v distant_a from_o the_o latitude_n of_o london_n by_o the_o space_n of_o two_o climate_n prob._n l._n the_o sun_n place_v give_v to_o find_v what_o alteration_n of_o declination_n be_v must_v have_v to_o make_v the_o day_n a_o hour_n long_o or_o short_a and_o in_o what_o number_n of_o da●es_n it_o will_v be_v rectify_v the_o globe_n to_o the_o latitude_n of_o the_o place_n and_o b●ing_v the_o sun_n place_n to_o the_o east_n side_n the_o horizon_n and_o note_n against_o what_o degree_n of_o the_o horizon_n it_o be_v then_o bring_v one_o of_o the_o colour_n to_o intersect_v the_o horizon_n in_o that_o degree_n of_o the_o horizon_n and_o at_o the_o point_n of_o intersection_n make_v a_o prick_n in_o the_o colour_n and_o observe_v what_o degree_n of_o the_o equator_fw-la be_v then_o at_o the_o meridian_n then_o turn_v the_o globe_n westward_o if_o the_o day_n shorten_v but_o eastward_n if_o they_o lengthen_v till_o 7½_n degree_n of_o the_o equator_fw-la pass_v through_o the_o meridian_n and_o where_o the_o horizon_n intersect_v the_o same_o colour_n make_v another_o prick_n in_o the_o colour_n afterward_o bring_v the_o colour_n to_o the_o meridian_n and_o count_v the_o number_n of_o degree_n between_o the_o two_o prick_n for_o so_o many_o degree_n must_v the_o sun_n declination_n alter_v to_o lengthen_v or_o shorten_v the_o day_n a_o hour_n example_n the_o sun_n place_n be_v ♉_o 10._o i_o will_v know_v how_o much_o he_o must_v alter_v his_o declination_n before_o the_o day_n be_v a_o hour_n long_o here_o at_o london_n therefore_o i_o rectify_v the_o globe_n to_o the_o latitude_n of_o london_n and_o bring_v ♉_o 10._o to_o the_o east_n side_n the_o horizon_n and_o find_v it_o against_o 24½_n degree_n from_o the_o east_n point_n therefore_o i_o bring_v one_o of_o the_o colour_n to_o this_o 24½_n degree_n and_o close_o by_o the_o edge_n of_o the_o horizon_n i_o make_v a_o prick_n with_o black_a lead_n in_o the_o colour_n then_o keep_v the_o globe_n in_o this_o position_n i_o look_v what_o degree_n of_o the_o equator_fw-la be_v then_o at_o the_o meridian_n and_o find_v 250¼_n and_o because_o the_o day_n lengthen_v i_o turn_v the_o globe_n eastward_n till_o 7½_n degree_n from_o the_o foresay_a 250¼_n pass_v through_o the_o meridian_n then_o keep_v the_o globe_n in_o this_o position_n i_o make_v another_o prick_n in_o the_o colour_n and_o bring_v this_o colour_n to_o the_o meridian_n i_o find_v a_o little_a more_o than_o 5_o degree_n of_o the_o meridian_n contain_v between_o the_o two_o prick_n therefore_o i_o say_v when_o the_o sun_n be_v in_o ♉_o 10._o degree_n he_o must_v alter_v his_o declination_n a_o little_a more_o than_o 5_o degree_n to_o make_v the_o day_n a_o hour_n long_o now_o to_o know_v in_o what_o number_n of_o day_n he_o shall_v alter_v this_o declination_n you_o must_v find_v the_o declination_n of_o the_o two_o prick_n on_o the_o colour_n as_o you_o find_v the_o sun_n declination_n by_o prob._n 5._o and_o the_o arch_n of_o the_o ecliptic_a that_o pass_v through_o the_o meridian_n while_o the_o globe_n be_v turn_v from_o the_o first_o prick_v declination_n to_o the_o second_o prick_v declination_n be_v the_o number_n of_o elliptical_a degree_n that_o the_o sun_n be_v to_o pass_v while_o he_o alter_v this_o declination_n and_o the_o degree_n of_o the_o ecliptic_a then_o at_o the_o meridian_n be_v with_o respect_n have_v to_o the_o quarter_n of_o the_o year_n the_o place_n the_o sun_n shall_v have_v when_o its_o declination_n shall_v be_v alter_v so_o much_o as_o to_o make_v the_o day_n a_o hour_n long_o thushave_v the_o sun_n first_o place_n give_v and_o its_o second_o place_n find_v you_o may_v by_o find_v those_o two_o place_n on_o the_o plain_a of_o the_o horizon_n also_o find_v the_o number_n of_o day_n comprehend_v between_o they_o as_o you_o be_v teach_v by_o the_o four_o problem_n this_o problem_n thus_o wrought_v for_o different_a time_n of_o the_o year_n will_v show_v the_o fallacy_n of_o that_o vulgar_a rule_n which_o make_v the_o day_n to_o be_v lengthen_v or_o shorten_v a_o hour_n in_o every_o fifteen_o day_n when_o as_o the_o lengthen_v or_o shorten_v of_o day_n keep_v no_o such_o equality_n of_o proportion_n for_o when_o the_o sun_n be_v near_o the_o equinoctial_a point_n the_o day_n lengthen_v or_o shorten_v very_o fast_o but_o when_o he_o be_v near_o the_o tropical_a point_n very_o slow_o prob._n li._n of_o the_o difference_n of_o civil_a and_o natural_a day_n common_o call_v the_o equation_n of_o civil_a day_n and_o how_o it_o may_v be_v find_v by_o the_o globe_n the_o civil_a day_n be_v that_o space_n of_o time_n contain_v just_o 24._o hour_n reckon_v from_o 12_o a_o clock_n on_o one_o day_n to_o 12_o a_o clock_n the_o next_o day_n in_o which_o space_n of_o time_n the_o equinoctial_a make_v upon_o the_o pole_n of_o the_o world_n a_o diurnal_a revolution_n the_o natural_a day_n be_v that_o space_n of_o time_n wherein_o the_o sun_n move_v from_o the_o meridian_n of_o any_o place_n to_o the_o same_o meridian_n again_o these_o day_n be_v at_o one_o time_n of_o the_o year_n long_o than_o at_o another_o and_o at_o all_o time_n long_o than_o the_o civil_a day_n there_o be_v but_o small_a discrepancy_n between_o they_o yet_o some_o there_o be_v make_v by_o a_o twofold_a cause_n for_o first_o the_o sun_n apparent_a motion_n be_v different_a from_o his_o true_a motion_n he_o be_v much_o slow_a in_o his_o apogeum_n than_o he_o be_v in_o his_o perigeum_n for_o when_o the_o sun_n be_v in_o his_o apogeum_n he_o scarce_o move_v 58_o minute_n from_o west_n to_o east_n in_o a_o civil_a day_n but_o when_o he_o be_v in_o his_o perigeum_n he_o move_v above_o 61_o minute_n in_o a_o civil_a day_n and_o therefore_o increase_v his_o right_a ascension_n more_o in_o equal_a time_n the_o second_o cause_n be_v the_o difference_n of_o right_a ascension_n answerable_a to_o equal_a part_n of_o the_o ecliptic_a for_o about_o ♋_o and_o ♑_o the_o difference_n of_o right_a ascension_n be_v far_o great_a than_o about_o ♈_o and_o ♎_o for_o about_o ♈_o and_o ♎_o the_o right_a ascension_n of_o 10._o degree_n be_v but_o 9_o degree_n 11._o minute_n but_o about_o ♋_o and_o ♑_o the_o right_a ascension_n of_o 10_o degree_n will_v be_v find_v to_o be_v 10._o degree_n 53._o minute_n as_o by_o the_o globe_n will_v appear_v but_o because_o of_o the_o smallness_n of_o the_o globe_n graduation_n you_o can_v actual_o distinguish_v to_o part_n near_o enough_o for_o the_o solution_n of_o this_o problem_n if_o you_o shall_v inquire_v the_o difference_n in_o length_n of_o two_o single_a day_n it_o will_v be_v requisite_a to_o take_v some_o number_n of_o day_n together_o suppose_v 20._o therefore_o find_v by_o prob._n 3._o the_o place_n of_o the_o sun_n for_o the_o beginning_n and_o end_v of_o those_o day_n you_o will_v compare_v and_o find_v the_o right_a ascension_n answerable_a to_o each_o place_n in_o the_o ecliptic_a and_o also_o the_o difference_n of_o right_a ascension_n answerable_a to_o the_o sun_n motion_n in_o each_o number_n of_o day_n then_o compare_v the_o difference_n of_o right_a ascension_n together_o and_o by_o substract_v the_o lesser_a from_o the_o great_a you_o will_v have_v the_o number_n of_o degree_n and_o minute_n of_o the_o equator_fw-la that_o have_v pass_v through_o the_o meridian_n more_o in_o one_o number_n of_o day_n then_o in_o the_o other_o number_n of_o day_n which_o degree_n of_o the_o equator_fw-la convert_v into_o time_n be_v the_o number_n of_o minute_n that_o the_o one_o number_n of_o day_n be_v long_o than_o the_o other_o number_n of_o day_n example_n i_o will_v know_v what_o difference_n of_o time_n there_o be_v in_o the_o length_n of_o the_o first_o 20._o day_n of_o december_n and_o the_o first_o 20_o day_n of_o march_n i_o find_v by_o prob._n 3._o the_o sun_n place_n december_n 1_o be_v 〈◊〉_d 19_o 45._o at_o the_o end_n of_o 20_o day_n viz._n on_o the_o 21_o day_n his_o place_n be_v 〈◊〉_d 10._o 11._o the_o sun_n place_n march_v 1._o be_v ♓_o 21._o 16._o at_o the_o 20._o day_n end_n viz._n march_n 21_o his_o place_n be_v ♈_o 11._o 3._o i_o find_v by_o prob._n 26._o the_o right_a ascension_n answerable_a to_o ♐_o 19_o 45_o be_v 258._o 10._o ♑_o 10._o 11_o 280._o 25._o ♓_o 21._o 16_o 352._o 00._o ♈_o 11._o 3_o 9_o 40._o and_o

the_o difference_n of_o right_a ascension_n contain_v between_o the_o first_o day_n in_o each_o month_n and_o the_o 21_o of_o the_o same_o month_n by_o substract_v the_o lesser_a from_o the_o great_a be_v for_o 258._o 10._o and_o for_o 352._o 00._o 280._o 25._o 9_o 40._o 22._o 15_o 17._o 40._o but_o note_n because_o the_o vernal_a colour_n where_o the_o degree_n of_o right_a ascension_n begin_v and_o end_v their_o account_n be_v intercept_v be_v the_o arch_n of_o the_o sun_n motion_n from_o the_o first_o to_o the_o 21._o of_o march_n therefore_o instead_o of_o substract_v the_o lesser_a number_n of_o degree_n of_o right_a ascension_n from_o the_o great_a viz._n 9_o 40_o from_o 35._o 2._o i_o do_v for_o find_v the_o difference_n of_o the_o right_n ascensional_a arch_n of_o the_o sun_n motion_n in_o those_o 20_o day_n sustract_v the_o foresay_a 352_o degree_n from_o 360_o and_o the_o remain_v be_v 8._o which_o be_v the_o difference_n of_o right_a ascension_n from_o ♓_o 21_o 16._o to_o the_o equinoctial_a colour_n to_o which_o 8_o add_v 9_o degree_n 40_o minute_n the_o right_a ascension_n from_o the_o equinoctial_a colour_n to_o ♈_o 11._o 3._o it_o make_v 17_o degree_n 40._o minute_n for_o the_o difference_n of_o right_a ascension_n between_o ♓_o 21_o 16._o and_o ♈_o 11._o 3_o then_o i_o find_v the_o difference_n of_o this_o difference_n of_o right_a ascension_n by_o substract_v the_o less_o from_o the_o great_a viz._n 17._o 40._o from_o 22._o 15._o and_o the_o remain_v be_v 4._o degree_n 35._o minute_n for_o the_o number_n of_o degree_n and_o minute_n of_o the_o equator_fw-la that_o pass_v through_o the_o meridian_n in_o the_o first_o 20_o day_n in_o the_o month_n of_o december_n more_o than_o in_o the_o first_o 20_o day_n of_o the_o month_n of_o march_n which_o 4._o degree_n 35._o minute_n convert_v into_o time_n gives_z 19_o minute_n that_o be_v a_o quarter_n of_o a_o hour_n and_o 4_o minute_n that_o the_o first_o 20_o day_n of_o december_n aforesaid_a be_v long_o than_o the_o first_o 20_o day_n of_o march._n prob._n lii_o how_o to_o find_v the_o hour_n of_o the_o night_n when_o the_o moon_n shine_v on_o a_o sun_n dyal_n by_o help_n of_o the_o globe_n rectify_v the_o globe_n and_o find_v by_o prob._n 54._o or_o a_o ephemeris_fw-la the_o moon_n place_n at_o noon_n bring_v it_o to_o the_o meridian_n and_o the_o index_n of_o the_o hour_n circle_n to_o 12._o and_o turn_v about_o the_o globe_n till_o the_o index_n of_o the_o hour_n circle_n point_v to_o the_o same_o hour_n the_o shade_n of_o the_o moon_n fall_v on_o on_o the_o sun_n dyal_n then_o by_o prob._n 3._o find_v the_o sun_n place_n at_o noon_n and_o see_v how_o many_o degree_n of_o right_a ascension_n be_v contain_v between_o the_o sun_n place_n and_o the_o degree_n of_o the_o equator_fw-la at_o the_o meridian_n when_o the_o index_n of_o the_o hour_n circle_n be_v bring_v to_o the_o hour_n the_o moon_n shine_v on_o in_o the_o sun_n dyal_n for_o those_o number_n of_o degree_n convert_v into_o time_n shall_v be_v the_o time_n from_o noon_n or_o the_o hour_n of_o the_o night_n only_o note_n respect_n must_v be_v have_v to_o the_o motion_n of_o the_o moon_n from_o west_n to_o east_n for_o so_o swift_a be_v her_o mean_a motion_n that_o it_o be_v account_v to_o be_v above_o 12._o degree_n in_o 24._o hour_n that_o be_v 6_o degree_n in_o 12_o hour_n 3_o degree_n in_o 6_o hour_n etc._n etc._n and_o this_o also_o convert_v into_o time_n as_o aforesaid_a you_o must_v add_v proportionable_o to_o the_o time_n find_v from_o noon_n and_o the_o sum_n shall_v give_v you_o the_o true_a hour_n of_o the_o night_n example_n here_o at_o london_n i_o desire_v to_o know_v the_o hour_n of_o the_o night_n january_n 6._o this_o present_a year_n 1658._o the_o moon_n place_n find_v by_o a_o ephemeris_fw-la or_o for_o want_n of_o a_o ephemeris_fw-la by_o prob._n 54._o be_v in_o ♊_o 21._o degree_n 22_o minute_n therefore_o i_o rectify_v the_o globe_n to_o london_n latitude_n and_o bring_v ♊_o 21._o 22._o minute_n to_o the_o meridian_n and_o the_o index_n of_o the_o hour_n circle_n to_o 12._o then_o by_o prob._n 3._o i_o find_v the_o sun_n place_n in_o ♑_o 26._o degree_n 46._o minute_n and_o by_o prob._n 26._o i_o find_v his_o right_a ascension_n to_o be_v 300_o degree_n then_o i_o turn_v about_o the_o globe_n till_o the_o index_n of_o the_o hour_n circle_v point_v at_o 10_o hour_n and_o at_o the_o degree_n of_o the_o equator_fw-la at_o the_o meridian_n i_o make_v a_o prick_n then_o i_o count_v the_o number_n of_o degree_n of_o the_o equater_fw-la contain_v between_o the_o foresay_a 300_o deg_n and_o this_o prick_n and_o find_v they_o 111¼_n degree_n which_o convert_v into_o time_n by_o allow_v 15_o degree_n for_o a_o hour_n give_v 7_o hour_n 25_o minute_n time_n from_o noon_n which_o if_o the_o moon_n motion_n be_v not_o to_o be_v consider_v shall_v be_v the_o immediate_a hour_n of_o the_o night_n but_o by_o the_o rule_n aforesaid_a the_o moon_n motion_n from_o west_n to_o east_n in_o 7_o hour_n 25_o minute_n be_v 3_o degree_n 42_o minute_n and_o this_o 3_o degree_n 42_o minute_n be_v convert_v into_o time_n be_v 14_o minute_n more_o which_o be_v add_v to_o 7_o hour_n 25_o minute_n make_v 7_o hour_n 39_o minute_n for_o the_o true_a hour_n of_o the_o night_n prob._n liii_o to_o find_v the_o dominical_a letter_n the_o prime_n epact_n easter_n day_n and_o the_o rest_n of_o the_o movable_a feast_n for_o ever_o though_o these_o problem_n can_v be_v perform_v by_o the_o globe_n because_o of_o the_o several_a change_n and_o irregular_a account_n that_o their_o rule_n be_v frame_v upon_o yet_o because_o they_o be_v of_o frequent_a and_o vulgar_a use_n and_o for_o that_o the_o solution_n of_o many_o other_o question_n will_v have_v dependency_n on_o the_o knowledge_n these_o therefore_o i_o have_v think_v fit_a here_o to_o inserte_n this_o table_n of_o m_o r_o palmer_n by_o which_o you_o may_v find_v they_o all._n i_o shall_v not_o insist_v upon_o the_o reason_n of_o the_o several_a change_n of_o letter_n and_o number_n himself_o have_v already_o very_o learned_o handle_v that_o subject_n in_o his_o book_n of_o the_o catholic_n planisphear_n book_n 1_o chapter_n 11._o to_o which_o i_o refer_v you_o neither_o shall_v i_o need_v to_o give_v you_o any_o other_o instruction_n for_o find_v what_o be_v here_o propose_v than_o what_o himself_o have_v give_v in_o his_o four_o book_n chapter_n 66_o and_o part_n of_o 67._o therefore_o take_v it_o as_o he_o there_o deliver_v it_o a_o example_n shall_v serve_v here_o instead_o of_o a_o rule_n for_o the_o year_n 1657._o i_o will_v know_v all_o these_o wherefore_o i_o seek_v the_o year_n 1657._o in_o the_o table_n of_o the_o sun_n cycle_n and_o over_o against_o it_o i_o find_v 14._o for_o the_o year_n of_o the_o cycle_n of_o the_o sun_n and_o d_o for_o the_o dominical_a letter_n and_o note_v here_o that_o every_o leap-year_n have_v 2_o dominical_a letter_n as_o 1660_o have_v a_o g_z and_o the_o first_o viz._n a_o serve_v that_o year_n till_o february_n 25_o and_o the_o second_o g_z for_o the_o rest_n of_o the_o year_n and_o note_v that_o these_o letter_n go_v always_o backward_o when_o you_o count_v forward_o as_o b_o a_o then_z g_z f_o etc._n etc._n not_o f_o g_z and_o then_z a_o b_o as_o you_o may_v see_v by_o the_o table_n to_o find_v the_o age_n of_o the_o moon_n remember_v first_o that_o the_o epact_n begin_v with_o march_n which_o must_v be_v here_o account_v the_o first_o month_n then_o if_o you_o add_v to_o the_o epact_n the_o number_n of_o the_o month_n current_n and_o the_o number_n of_o the_o day_n of_o the_o month_n current_n the_o sum_n or_o the_o excess_n above_o 30_o be_v 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 the_o month_n and_o the_o 20_o the_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 prob._n liv._o the_o age_n of_o the_o moon_n give_v to_o find_v her_o place_n in_o the_o ecliptic_a according_a to_o her_o mean_a motion_n this_o problem_n may_v be_v perform_v exact_a enough_o for_o common_a use_n by_o the_o globe_n but_o in_o regard_n it_o only_o show_v the_o moon_n place_n in_o the_o ecliptic_a according_a to_o her_o meat_n motion_n it_o will_v often_o fail_v you_o some_o few_o degree_n of_o her_o true_a place_n the_o work_n be_v thus_o first_o set_v figure_n

to_o every_o twelth_n degree_n of_o the_o equinoctial_a account_v from_o the_o equinoctial_a colour_n mark_v they_o with_o 1_o 2_o 3_o 4._o etc._n etc._n to_o 30_o which_o will_v end_v where_o you_o begin_v viz._n at_o the_o equinoctial_a colour_n again_o so_o shall_v the_o equinoctial_a be_v divide_v into_o 30_o equal_a part_n represent_v the_o 30_o day_n of_o the_o moon_n age_n these_o figure_n to_o distinguish_v they_o from_o the_o degree_n of_o the_o equator_fw-la be_v best_a be_v write_v with_o red_a ink._n when_o you_o will_v inquire_v the_o moon_n place_n elevate_v the_o north_n pole_n 90_o degree_n that_o be_v in_o the_o zenith_n so_o shall_v the_o equator_fw-la lie_v in_o the_o horizon_n then_o bring_v the_o equinoctial_a colour_n against_o the_o day_n of_o the_o month_n in_o the_o horizon_n so_o shall_v the_o moon_n age_n write_v in_o red_a figure_n stand_v against_o the_o sign_n and_o degree_n in_o the_o horizon_n that_o the_o moon_n be_v in_o at_o that_o time_n example_n september_n 28._o 1658._o i_o will_v know_v the_o moon_n place_n in_o the_o ecliptic_a she_o be_v then_o 12_o day_n old_a therefore_o i_o elevate_v the_o north_n pole_n 90_o degree_n above_o the_o horizon_n and_o turn_v the_o globe_n about_o till_o the_o equinoctial_a colour_n come_v to_o september_n 28._o in_o the_o circle_n of_o day_n on_o the_o horizon_n then_o look_v against_o what_o sign_n and_o degree_n of_o the_o ecliptic_a circle_n in_o the_o horizon_n the_o 12_o the_o division_n in_o red_a figure_n stand_v i_o find_v ♓_o 9_o which_o be_v the_o sign_n and_o degree_n the_o moon_n be_v in_o according_a to_o her_o mean_a motion_n this_o problem_n may_v be_v apply_v to_o many_o use_v for_o have_v the_o moon_n place_v you_o may_v find_v the_o time_n of_o her_o rise_n sothe_v set_v and_o shine_v &c._n &c._n by_o work_v with_o she_o as_o you_o be_v teach_v to_o work_v with_o the_o sun_n in_o several_a foregoing_a problem_n proper_a to_o each_o purpose_n prob._n lv._o have_v the_o longitude_n and_o latitude_n or_o right_a ascension_n and_o declination_n of_o any_o planet_n or_o comet_n to_o place_v it_o on_o the_o globe_n to_o correspond_v with_o its_o place_n in_o heaven_n planet_n and_o comet_n can_v be_v place_v on_o the_o globe_n so_o as_o their_o place_n will_v long_o retain_v correspondence_n with_o their_o place_n in_o heaven_n because_o as_o be_v say_v chap._n 44._o they_o have_v a_o continual_a motion_n from_o west_n to_o east_n upon_o the_o pole_n of_o the_o ecliptic_a yet_o nevertheless_a you_o may_v by_o have_v their_o longitude_n and_o latitude_n or_o right_a ascension_n and_o declination_n for_o any_o set_a time_n place_z a_o mark_n for_o they_o on_o the_o globe_n either_o with_o ink_n if_o your_o globe_n be_v varnish_v for_o than_o you_o may_v with_o a_o wet_a finger_n wipe_v it_o off_o again_o or_o with_o black-lead_a if_o it_o be_v not_o varnish_v and_o then_o you_o may_v rub_v it_o out_o again_o with_o a_o little_a white_a bread_n which_o mark_v for_o that_o time_n will_v as_o effectual_o serve_v you_o to_o work_v by_o as_o any_o of_o the_o fix_a star_n place_v on_o the_o globe_n will_v do_v therefore_o if_o the_o longitude_n and_o latitude_n of_o any_o planet_n or_o comet_n be_v give_v do_v thus_o elevate_v the_o north_n pole_n if_o the_o latitude_n give_v be_v north_n but_o if_o the_o latitude_n give_v be_v south_n elevate_v the_o south_n pole_n 66_o ½_o degree_n and_o place_v the_o pole_n of_o the_o ecliptic_a in_o the_o zenith_n and_o over_o it_o screw_v the_o quadrant_n of_o altitude_n so_o shall_v the_o ecliptick_o in_o the_o horizon_n and_o the_o quadrant_n of_o altitude_n be_v turn_v about_o the_o horizon_n shall_v pass_v through_o all_o the_o degree_n of_o longitude_n then_o find_v the_o point_n of_o give_v longitude_n in_o the_o ecliptic_a and_o bring_v it_o to_o the_o quadrant_n of_o altitude_n and_o hold_v it_o there_o then_o count_v upward_o on_o the_o quadrant_n of_o altitude_n the_o number_n of_o degree_n and_o minute_n of_o give_v latitude_n and_o at_o the_o point_n where_o the_o number_n end_v close_o to_o the_o quadrant_n of_o altitude_n make_v a_o small_a prick_n and_o that_o prick_n shall_v represent_v the_o planet_n or_o comet_n you_o be_v to_o place_n on_o the_o globe_n if_o it_o be_v the_o right_a ascension_n and_o declination_n of_o a_o planet_n or_o comet_n that_o be_v give_v you_o must_v find_v the_o degree_n and_o minute_n of_o right_a ascension_n on_o the_o equinoctial_a and_o bring_v it_o to_o the_o meridian_n and_o keep_v the_o globe_n there_o steady_a then_o find_v the_o degree_n and_o minute_n of_o declination_n on_o the_o meridian_n and_o under_o that_o degree_n and_o minute_n on_o the_o globe_n make_v a_o prick_n and_o that_o prick_n shall_v represent_v the_o planet_n or_o comet_n as_o aforesaid_a if_o it_o be_v ♄_o or_o ♃_o that_o this_o prick_n be_v to_o represent_v it_o may_v stand_v on_o the_o globe_n sometime_o a_o week_n or_o a_o fortnight_n without_o much_o difference_n from_o the_o planet_n place_n in_o heaven_n but_o if_o the_o prick_n be_v to_o represent_v the_o other_o planet_n you_o must_v in_o regard_n of_o their_o swift_a motion_n alter_v it_o very_o often_o especial_o for_o the_o moon_n for_o so_o swift_a be_v her_o motion_n that_o in_o every_o two_o hour_n she_o alter_v about_o a_o degree_n in_o longitude_n have_v thus_o place_v this_o mark_n on_o the_o globe_n you_o may_v find_v out_o the_o time_n of_o its_o several_a position_n and_o aspect_n if_o you_o work_v by_o it_o as_o you_o be_v direct_v to_o work_v by_o the_o sun_n in_o the_o several_a respective_a problem_n throughout_o this_o book_n the_o end_n of_o the_o second_o book_n the_o three_o book_n be_v the_o practical_a use_n of_o the_o globe_n apply_v to_o the_o solution_n of_o problem_n in_o the_o art_n of_o navigation_n preface_n because_o the_o art_n of_o navigation_n consist_v aswell_o in_o the_o knowledge_n of_o astronomical_a and_o geographical_a problem_n as_o in_o problem_n mere_o nautical_a therefore_o i_o must_v desire_v the_o artist_n to_o seek_v in_o the_o last_o book_n such_o problem_n as_o be_v only_o astronomical_a or_o geographical_a for_o my_o design_n be_v here_o to_o collect_v such_o problem_n as_o be_v only_o use_v in_o the_o art_n of_o navigation_n some_o few_o particular_n except_v as_o for_o find_v latitude_n longitude_n course_n distance_n etc._n etc._n which_o though_o they_o be_v handle_v in_o than_o book_n yet_o for_o their_o exceed_a utility_n in_o the_o art_n of_o navigation_n and_o for_o that_o what_o there_o be_v give_v can_v always_o be_v have_v to_o work_v by_o therefore_o in_o this_o book_n i_o have_v mention_v divers_a other_o observation_n which_o be_v make_v or_o have_v you_o may_v by_o the_o rule_v proper_a for_o each_o observation_n find_v what_o shall_v be_v propose_v prob._n i._n the_o sun_n amplitude_n and_o difference_n of_o ascension_n give_v to_o find_v the_o height_n of_o the_o pole_n and_o declination_n of_o the_o sun_n elevate_v the_o pole_n so_o many_o degree_n as_o the_o difference_n of_o the_o sun_n ascension_n be_v and_o screw_v the_o quadrant_n of_o altitude_n to_o the_o zenith_n and_o bring_v the_o first_o point_n of_o ♈_o to_o the_o meridian_n than_o number_n on_o the_o quadrant_n of_o altitude_n upward_o the_o compliment_n to_o 90._o of_o the_o sun_n amplitude_n and_o move_v the_o quadrant_n of_o altitude_n till_o that_o number_n of_o degree_n cut_v the_o equator_fw-la so_o shall_v the_o quadrant_n cut_v in_o the_o horizon_n the_o degree_n of_o the_o pole_n elevation_n and_o in_o the_o equator_fw-la the_o degree_n of_o the_o sun_n declination_n example_n the_o difference_n of_o ascension_n be_v 27._o degree_n 7._o minute_n therefore_o i_o elevate_v the_o pole_n 27._o degree_n 7._o minute_n above_o the_o horizon_n and_o screw_v the_o quadrant_n of_o altitude_n to_o 27._o degree_n 7._o minute_n which_o be_v in_o the_o zenith_n then_o i_o bring_v the_o first_o point_n of_o ♈_o to_o the_o meridian_n and_o number_n on_o the_o quadrant_n of_o altitude_n upward_o 56._o degree_n 40._o minute_n the_o compliment_n of_o the_o sun_n amplitude_n and_o bring_v that_o degree_n to_o the_o equator_fw-la then_o i_o see_v in_o what_o degree_n of_o the_o horizon_n the_o quadrant_n cut_v the_o horizon_n and_o find_v 51_o ½_o which_o be_v the_o elevation_n of_o the_o pole_n then_o look_v in_o what_o degree_n of_o the_o equator_fw-la the_o quadrant_n of_o altitude_n cut_v the_o equator_fw-la i_o find_v 20_o degree_n 5_o min._n which_o be_v the_o declination_n of_o the_o sun_n at_o the_o same_o time_n prob._n ii_o the_o sun_n declination_n and_o amplitude_n give_v to_o find_v the_o pole_n elevation_n elevate_v the_o pole_n so_o many_o degree_n as_o the_o compliment_n of_o the_o sun_n amplitude_n be_v and_o screw_v the_o quadrant_n of_o altitude_n

the_o meridian_n cut_v the_o degree_n of_o the_o ecliptic_a on_o the_o cusp_n of_o the_o ten_o house_n the_o western_a semicircle_n of_o the_o horizon_n shall_v cut_v the_o degree_n of_o the_o ecliptic_a on_o the_o cusp_n of_o the_o seven_o house_n and_o the_o semicircle_n of_o the_o meridian_n under_o the_o horizon_n shall_v cut_v the_o degree_n of_o the_o ecliptic_a on_o the_o cusp_n of_o the_o four_o house_n if_o you_o have_v the_o day_n of_o the_o month_n you_o may_v by_o prob._n 3._o of_o the_o second_o book_n find_v the_o sun_n place_n and_o if_o you_o have_v the_o hour_n of_o the_o day_n you_o may_v by_o first_o rectify_v the_o globe_n as_o by_o prob._n 2._o of_o the_o same_o book_n turn_v about_o the_o globe_n till_o the_o index_n of_o the_o hour-circle_n point_n to_o the_o same_o hour_n in_o the_o hour-circle_n and_o you_o will_v then_o at_o the_o eastern_a semicircle_n of_o the_o horizon_n have_v the_o degree_n of_o the_o ecliptic_a that_o be_v rise_v and_o by_o consequence_n 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you_o find_v the_o azimuth_n of_o the_o sun_n by_o its_o altitude_n observe_v just_a when_o its_o beam_n be_v come_v on_o or_o go_v off_o you●_n plain_a that_o azimuth_n shall_v be_v the_o azimuth_n of_o your_o plain_n or_o you_o may_v erect_v a_o wire_n perpendicular_o on_o your_o plain_n and_o wait_v till_o the_o shadow_n of_o that_o wire_n come_v to_o be_v perpendicular_a with_o the_o horizon_n which_o you_o may_v examine_v by_o apply_v a_o plumb-line_n to_o it_o for_o then_o the_o shadow_n of_o the_o plumb-line_n and_o the_o shadow_n of_o the_o perpendicular_a will_v be_v in_o one_o then_o take_v the_o altitude_n of_o the_o sun_n you_o may_v by_o prob._n 22._o of_o the_o second_o book_n find_v its_o azimuth_n and_o thereby_o know_v in_o what_o azimuth_n the_o plain_a of_o your_o dyal_n lie_v for_o the_o azimuth_n your_o plain_n lie_v in_o be_v distant_a from_o the_o azimuth_n of_o the_o sun_n just_a 90._o degree_n prob._n i._n how_o by_o one_o position_n of_o the_o globe_n to_o 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westward_n have_v thus_o find_v out_o where_o this_o plane_n become_v horizontal_n make_v your_o dyal_n to_o this_o plane_n as_o by_o the_o second_o rule_n in_o this_o problem_n find_v also_o the_o style_n as_o be_v there_o direct_v 5._o if_o your_o plane_n be_v a_o decline_a incliner_n the_o globe_n and_o quadrant_n of_o altitude_n rectify_v bring_v the_o colour_n to_o the_o meridian_n and_o the_o quadrant_n of_o altitude_n to_o the_o degree_n of_o the_o horizon_n opposite_a to_o the_o degree_n of_o the_o plane_n declination_n and_o count_v upward_o on_o the_o quadrant_n of_o altitude_n the_o degree_n of_o inclination_n and_o make_v a_o 〈◊〉_d there_o for_o in_o the_o 〈◊〉_d of_o that_o prick_n find_v as_o by_o 〈◊〉_d 〈◊〉_d of_o the_o second_o book_n that_o decline_a in_o 〈◊〉_d shall_v become_v a_o horizontal_n plane_n then_o find_v the_o latitude_n and_o difference_n of_o longitude_n of_o this_o 〈◊〉_d by_o the_o 〈◊〉_d 〈◊〉_d and_o make_v a_o ●yal_a to_o that_o 〈◊〉_d by_o the_o second_o 〈◊〉_d in_o this_o problem_n find_v also_o the_o style_n as_o therein_o be_v direct_v prob._n xv._n to_o make_v a_o dyal_n on_o the_o ceiling_n of_o a_o room_n where_o the_o direct_a beam_n of_o the_o sun_n never_o come_v find_v some_o convenient_a place_n in_o the_o transum_fw-la of_o a_o window_n to_o place_v a_o small_a round_a piece_n of_o looking-glass_n about_o the_o bigness_n of_o a_o groat_n or_o less_o so_o as_o it_o may_v lie_v exact_o horizontal_n the_o point_n in_o the_o middle_n of_o this_o glass_n we_o will_v mark_v a_o and_o for_o distinction_n sake_n with_o mr_n palmer_n call_v it_o nodus_fw-la through_o this_o nodus_fw-la you_o must_v draw_v a_o meridian_n line_n on_o the_o floor_n thus_o hang_v a_o plumb_n line_n in_o the_o window_n exact_o over_o nodus_fw-la and_o the_o shadow_n that_o that_o plumb_n line_n cast_v on_o the_o floor_n just_a at_o noon_n will_v be_v a_o meridian_n line_n or_o you_o may_v find_v a_o meridian_n line_n otherwise_o as_o by_o the_o preface_n 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distance_n of_o any_o hour_n line_n from_o the_o meridian_n line_n even_o so_o a_o line_n draw_v through_o every_o 15._o degree_n of_o the_o semicircle_n of_o position_n posit_v as_o aforesaid_a point_v out_o in_o the_o equinoctial_a line_n on_o the_o ceiling_n the_o distance_n of_o each_o respective_a hour_n line_n from_o the_o meridian_n line_n have_v thus_o find_v out_o the_o point_n in_o the_o equator_fw-la through_o which_o the_o afternoon_n hour-line_n be_v to_o be_v draw_v i_o may_v find_v the_o forenoon_n hour_n distance_n also_o the_o same_o way_n viz._n by_o bring_v the_o string_n to_o the_o several_a 15._o degree_n on_o the_o west_n side_n the_o semicircle_n of_o position_n or_o else_o i_o need_v only_o measure_v the_o distance_n of_o each_o hour_n distance_n find_v in_o the_o equator_fw-la from_o the_o meridian_n line_n on_o the_o ceiling_n for_o the_o same_o number_n of_o hour_n from_o 12_o have_v the_o same_o distance_n in_o the_o equinoctial_a line_n on_o the_o other_o 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thus_o the_o 1_o a_o clock_n hour-line_n 11.40_o who_o compliment_n 90._o be_v 78.20_o 2_o 24.15_o 65.45_o 3_o 38.4_o 51.56_o 4_o 53.36_o 36.24_o i_o measure_v in_o a_o quadrant_n of_o the_o same_o radius_fw-la with_o those_o arch_n already_o draw_v from_o the_o equinoctial_a line_n for_o the_o 1_o a_o clock_n hour_n 78.20_o 2_o 65.45_o 3_o 51.56_o 4_o 36.24_o and_o transfer_v these_o distance_n to_o the_o arch_n draw_v on_o the_o ceiling_n for_o then_o straight_a line_n draw_v through_o the_o mark_n in_o the_o arch_n and_o through_o the_o mark_n in_o the_o equator_fw-la and_o prolong_v both_o way_n to_o a_o convenient_a length_n shall_v be_v the_o several_a hour-line_n a_o foresay_a and_o when_o the_o sun_n shine_v upon_o the_o glass_n at_o nodus_fw-la its_o beam_n shall_v reflect_v upon_o the_o hour_n of_o the_o day_n prob._n xvi_o to_o make_v a_o dyal_n upon_o a_o solid_a ball_n or_o globe_n that_o shall_v show_v the_o hour_n of_o the_o day_n without_o a_o gnomon_n the_o 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the_o upper_a edge_n of_o each_o end_n of_o the_o semi_a circle_n may_v touch_v the_o pole_n of_o the_o globe_n and_o the_o middle_n of_o the_o semi_a circle_n may_v at_o the_o same_o edge_n cut_v through_o some_o division_n make_v in_o the_o equinoctial_a for_o then_o a_o line_n draw_v by_o the_o edge_n of_o the_o semi_a circle_n thus_o posit_v shall_v be_v a_o meridian_n line_n the_o same_o way_n you_o must_v draw_v meridian_n line_n through_o every_o division_n of_o the_o equinoctial_a and_o set_v figure_n to_o they_o beginning_z with_o 1_o 2_o 3_o 4_o etc._n etc._n to_o 12_o and_o then_o begin_v again_o with_o 1_o 2_o 3_o 4_o etc._n etc._n to_o 12_o again_o this_o globe_n be_v make_v of_o glass_n and_o have_v a_o axis_n of_o wyer_n pass_v through_o ●t_a from_o pole_n to_o pole_n will_v be_v a_o horizontal_n dyal_n all_o the_o world_n over_o if_o its_o axis_n be_v set_v parallel_n to_o the_o axis_n of_o the_o world_n in_o the_o same_o place_n and_o one_o of_o the_o meridian_n mark_v 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and_o natural_o describe_v on_o the_o globe_n and_o therefore_o may_v at_o a_o single_a operation_n or_o perhaps_o only_o by_o a_o sudden_a inspection_n have_v a_o answer_v annex_v according_a as_o the_o nature_n of_o your_o question_n shall_v require_v and_o that_o more_o copious_o then_o by_o table_n of_o sines_n and_o tangent_n for_o therein_o you_o find_v but_o one_o question_n at_o once_o resolve_v but_o by_o the_o globe_n you_o have_v always_o two_o resolve_v together_o of_o the_o part_n and_o kind_n of_o spherical_a triangle_n theorem_n 1._o all_o spherical_a triangle_n be_v make_v of_o six_o part_n three_o side_n and_o three_o angle_n the_o side_n be_v join_v together_o at_o the_o angles_n and_o measure_v by_o degree_n of_o a_o great_a circle_n from_o one_o end_n to_o the_o other_o the_o angles_n be_v the_o distance_n of_o the_o two_o join_a side_n and_o they_o be_v also_o measure_v by_o a_o arch_n of_o a_o circle_n describe_v on_o the_o angular_a point_n if_o any_o three_o 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degree_n 30._o minute_n i_o screw_v the_o quadrant_n of_o altitude_n and_o count_v in_o the_o horizon_n from_o the_o intersection_n of_o the_o meridian_n with_o the_o horizon_n on_o that_o side_n the_o pole_n be_v elevate_v the_o measure_n of_o the_o give_v angle_n b_o viz._n 142._o degree_n 42._o minute_n and_o to_o this_o number_n of_o degree_n and_o minute_n of_o the_o horizon_n i_o bring_v the_o edge_n of_o the_o quadrant_n of_o altitude_n then_o i_o turn_v about_o the_o globe_n till_o the_o first_o meridian_n be_v distant_a from_o the_o brazen_a meridian_n 17._o degree_n 15._o minute_n of_o the_o equinoctial_a which_o be_v the_o measure_n of_o the_o other_o give_v angle_n so_o shall_v the_o triangle_n be_v make_v on_o the_o globe_n and_o the_o arch_n of_o the_o quadrant_n of_o altitude_n comprehend_v between_o the_o first_o meridian_n and_o the_o zenith_n shall_v be_v the_o measure_n of_o the_o side_n b_o c_o 25._o degree_n and_o the_o arch_n of_o the_o first_o meridian_n 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altitude_n shall_v be_v the_o measure_n of_o the_o side_n a_o b_o 38._o degree_n 30._o minute_n and_o the_o arch_n of_o the_o first_o meridian_n comprehend_v between_o the_o prick_n on_o the_o quadrant_n of_o altitude_n and_o the_o pole_n shall_v be_v the_o measure_n of_o the_o side_n a_o c_o 60._o degree_n but_o the_o angle_n c_o you_o must_v find_v by_o turn_v the_o triangle_n as_o in_o prob._n 7._o in_o the_o work_a this_o problem_n i_o will_v have_v place_v the_o give_v fide_fw-la b_o c_o 25._o degree_n upon_o the_o brazen_a meridian_n between_o the_o pole_n and_o zenith_n but_o then_o the_o angle_n b_o be_v so_o obtuse_a will_v have_v have_v that_o side_n which_o will_v be_v intersect_v by_o the_o quadrant_n of_o altitude_n viz._n the_o first_o meridian_n under_o the_o horizon_n which_o the_o quadrant_n of_o altitude_n can_v reach_v prob._n xii_o three_o angle_n give_v to_o find_v the_o side_n this_o triangle_n be_v teach_v to_o be_v resolve_v by_o m_n r_o palmer_n on_o the_o planisphear_n book_n 3_o chap._n 19_o it_o be_v to_o be_v know_v say_v he_o that_o if_o you_o go_v to_o the_o pole_n of_o the_o three_o great_a circle_n whereof_o your_o triangle_n be_v make_v these_o pole_n shall_v be_v the_o angular_a point_n of_o a_o second_o triangle_n and_o the_o two_o lesser_a side_n of_o this_o second_o triangle_n shall_v be_v equal_a to_o the_o two_o lesser_a angle_n of_o your_o first_o triangle_n the_o great_a side_n of_o the_o second_o triangle_n shall_v be_v the_o supplement_n of_o the_o great_a angle_n of_o the_o first_o triangle_n that_o be_v shall_v have_v as_o many_o degree_n and_o minute_n as_o the_o great_a angle_n of_o the_o first_o triangle_n want_v of_o 180._o degree_n see_v pitiscus_n trigonometry_n lib._n 1._o prop_n 61._o this_o second_o triangle_n therefore_o all_o who_o side_n be_v know_v from_o the_o angle_n of_o the_o first_o you_o shall_v resolve_v by_o prob._n 7._o and_o have_v by_o that_o problem_n find_v the_o angle_n of_o this_o second_o triangle_n know_v that_o the_o two_o lesser_a angle_n of_o the_o second_o triangle_n shall_v be_v several_a and_o respective_o equal_a to_o the_o two_o lesser_a side_n of_o the_o first_o triangle_n and_o the_o least_o angle_n to_o the_o least_o side_n the_o middle_a angle_n to_o the_o middle_a side_n and_o the_o great_a angle_n of_o this_o second_o triangle_n be_v subtract_v out_o of_o 180._o degree_n shall_v leave_v you_o the_o great_a side_n of_o your_o first_o triangle_n example_n if_o the_o angle_n be_v give_v 142._o degree_n 42._o minute_n 17._o degree_n 15._o minute_n and_o 25._o degree_n 24._o minute_n and_o the_o side_n be_v inquire_v draw_v by_o aim_n a_o rude_a scheam_n of_o this_o first_o triangle_n write_v in_o the_o angle_n a_o 17_o degree_n 15._o minute_n in_o b_o 142._o degree_n 42._o minute_n in_o c_z 25._o degree_n 24._o minute_n suppose_v the_o side_n yet_o unknown_a then_o draw_v under_o this_o by_o aim_n also_o a_o scheam_n of_o the_o second_o triangle_n set_v his_o base_a parallel_n with_o the_o base_a of_o the_o first_o and_o make_v the_o base_a of_o the_o second_o short_a than_o the_o base_a of_o the_o first_o set_a also_o b_o at_o the_o vertical_a angle_n and_o a_o c_o at_o the_o base_a as_o in_o the_o first_o triangle_n then_o say_v because_o a_o in_o the_o first_o triangle_n be_v 17_o degree_n 15._o minute_n therefore_o in_o the_o second_o triangle_n b_o c_o which_o subtend_v a_o shall_v be_v 17._o degree_n 15._o minute_n and_o because_o c_o in_o the_o first_o triangle_n be_v 25._o degree_n 24._o minute_n therefore_o in_o the_o second_o triangle_n the_o side_n a_o b_o which_o subtend_v c_o shall_v be_v 25._o degree_n 24._o minute_n and_o because_o b_o the_o great_a angle_n in_o the_o first_o triangle_n be_v 142._o degree_n 42._o minute_n therefore_o in_o the_o second_o triangle_n the_o side_n a_o c_o which_o subtend_v b_o shall_v be_v the_o compliment_n thereof_o to_o 180._o degree_n viz._n 37._o degree_n 18._o minute_n write_v now_o upon_o the_o side_n of_o this_o second_o triangle_n the_o quantity_n of_o the_o side_n so_o be_v your_o second_o triangle_n ready_a to_o be_v resolve_v as_o by_o prob._n 7._o whereby_o you_o shall_v find_v the_o angle_n of_o the_o second_o triangle_n as_o i_o have_v express_v they_o in_o the_o scheam_n a_o 25._o degree_n c_o 38._o degree_n 30._o minute_n b_o 120._o degree_n n●w_o last_o i_o say_v these_o angle_n of_o the_o second_o triangle_n thus_o find_v give_v i_o the_o side_n of_o the_o first_o triangle_n which_o i_o seek_v in_o this_o manner_n in_o the_o second_o triangle_n  _fw-fr in_o the_o first_o triangle_n a_o be_v 25._o degree_n therefore_o b_o c_z be_v 25._o degree_n c_o be_v 38._o 30._o a_o b_o 38._o 30._o b_o be_v 120._o 00._o a_o c_o 60._o 00._o compliment_n of_o 120._o degree_n to_o 180._o and_o thus_o by_o all_o the_o angle_n give_v we_o have_v find_v out_o all_o the_o side_n which_o be_v require_v have_v then_o the_o angle_n of_o your_o first_o triangle_n give_v and_o his_o side_n now_o find_v you_o shall_v find_v his_o situation_n on_o the_o globe_n thus_o place_v he_o as_o in_o prob._n 7._o a_o b_o 38._o degree_n 30._o minute_n between_o the_o pole_n and_o zenith_n a_o c_o 60._o degree_n in_o the_o first_o meridian_n separate_v from_o the_o brazen_a meridian_n 17._o degree_n 15._o minute_n of_o the_o equinoctial_a b_o c_z 25._o degree_n on_o the_o quadrant_n of_o altitude_n count_v from_o the_o zenith_n when_o it_o be_v low_a end_n be_v apply_v to_o the_o 142._o degree_n 42._o minute_n of_o the_o horizon_n you_o shall_v say_v because_o the_o east_n point_n of_o the_o horizon_n be_v the_o pole_n of_o the_o arch_n a_o b_o therefore_o at_o the_o east_n point_n of_o the_o horizon_n shall_v

stand_v the_o angle_n c_o which_o a_o b_o subtend_v next_o follow_v the_o 142._o degree_n 42._o minute_n of_o azimuth_n which_o make_v b_o c_o of_o your_o triangle_n to_o the_o horizon_n and_o from_o thence_o number_n in_o the_o horizon_n towards_o the_o east_n point_fw-fr 37_o degree_n 18._o minute_n the_o compliment_n of_o the_o angle_n a_o to_o 180._o degree_n and_o number_n yet_o further_o 52._o degree_n 42._o minute_n beyond_o the_o east_n point_n to_o make_v up_o 90_o and_o there_o be_v the_o pole_n of_o the_o arch_n b_o c_o therefore_o there_o shall_v stand_v the_o angle_n a_o which_o b_o c_z subtend_v then_o count_v in_o the_o equator_fw-la from_o the_o first_o meridian_n 90._o degree_n which_o will_v end_v under_o the_o horizon_n and_o there_o make_v a_o prick_n for_o there_o be_v the_o pole_n of_o the_o arch_n or_o side_n a_o c._n therefore_o at_o that_o prick_n shall_v stand_v the_o angle_n b_o which_o a_o c_o subtend_v here_o you_o see_v your_o second_o triangle_n make_v by_o the_o pole_n of_o the_o first_o adjoin_v to_o the_o east_n point_n of_o the_o globe_n only_o the_o side_n a_o b_o be_v want_v to_o get_v that_o make_v a_o prick_n upon_o the_o globe_n against_o the_o 52._o degree_n 42._o minute_n from_o the_o east_n point_n of_o the_o horizon_n find_v before_o to_o represent_v the_o angle_n a_o then_o turn_v about_o the_o globe_n and_o qudrant_n of_o altitude_n till_o that_o prick_n and_o the_o prick_n make_v before_o for_o the_o angle_n b_o be_v both_o at_o once_o cut_v by_o the_o side_n of_o the_o quadrant_n of_o altitude_n and_o you_o will_v find_v 25._o degree_n 24._o minute_n of_o the_o quadrant_n of_o altitude_n comprehend_v between_o the_o two_o prick_n for_o the_o measure_n of_o the_o side_n a_o b_o prob._n xiii_o how_o to_o let_v fall_v a_o perpendicular_a that_o shall_v divide_v any_o oblique_a spherical_a triangle_n into_o two_o right_a angle_a spherical_a triangle_n this_o problem_n be_v much_o use_v when_o a_o oblique_a triangle_n have_v two_o side_n and_o a_o angle_n give_v be_v to_o be_v solve_v by_o the_o cannon_n of_o sines_n and_o tangent_n but_o by_o the_o globe_n it_o may_v be_v solve_v without_o it_o as_o be_v show_v prob_n 8_o 9_o yet_o because_o let_v fall_v a_o perperdicular_a be_v so_o frequent_a in_o all_o author_n that_o treat_v of_o trigonometry_n i_o have_v insert_v this_o problem_n also_o in_o the_o oblique_a triangle_n of_o the_o fromer_fw-ge problem_n there_o be_v give_v the_o side_n a_o b_o 38½_n degree_n and_o b_o c_o 25._o degree_n and_o the_o angle_n c_o 25._o degree_n 24._o minute_n it_o be_v require_v to_o let_v fall_v a_o perpendicular_a as_o b_o a_o from_o the_o angle_n b._n upon_o the_o base_a a_o c_o and_o to_o know_v both_o the_o measure_n of_o this_o perpendicular_a and_o the_o part_n it_o divide_v the_o base_a into_o therefore_o elevate_v the_o pole_n of_o the_o globe_n above_o the_o horizon_n so_o much_o as_o be_v the_o measure_n of_o the_o angle_n c_o which_o in_o this_o example_n be_v 25._o degree_n 24._o minute_n and_o bring_v the_o intersection_n of_o the_o first_o meridian_n with_o the_o equinoctial_a to_o the_o east_n point_n of_o the_o horizon_n so_o shall_v the_o angle_n at_o the_o east_n point_n of_o the_o horizon_n comprehend_v between_o the_o horizon_n and_o the_o first_o meridian_n be_v equal_a to_o the_o angle_n c_o then_o count_v in_o the_o first_o meridian_n from_o the_o east_n point_n of_o the_o horizon_n the_o measure_n of_o the_o side_n b_o c_o 25._o degree_n and_o have_v the_o quadrant_n of_o altitude_n screw_v to_o the_o zenith_n bring_v the_o graduated_a edge_n of_o it_o to_o these_o 25._o degree_n so_o shall_v the_o arch_n of_o the_o horizon_n comprehend_v between_o the_o east_n point_n and_o the_o low_a end_n of_o the_o quadrant_n of_o altitude_n be_v the_o number_n of_o degree_n that_o the_o perpendicular_a fall_n upon_o the_o base_a count_v from_o the_o angle_n c_o to_o a_o which_o in_o this_o example_n be_v 21¾_n degree_n and_o 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the_o angl●_n a_o and_o b_o as_o be_v show_v in_o the_o preface_n theorem_fw-la 1._o the_o end_n of_o the_o six_o book_n here_o follow_v the_o ancient_a story_n of_o the_o several_a star_n and_o constellation_n show_v the_o poetical_a reason_n why_o such_o various_a figure_n be_v place_v in_o heaven_n collect_v from_o dr_n hood_n and_o first_o of_o the_o northern_a constellation_n 1._o ursa_fw-la minor_fw-la this_o constellation_n have_v the_o pre-eminence_n because_o it_o be_v near_a of_o all_o the_o rest_n unto_o the_o north_n pole_n and_o be_v call_v of_o the_o greek_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d whereupon_o the_o pole_n be_v call_v the_o pole_n arctic_a for_o that_o it_o be_v near_o unto_o that_o constellation_n it_o be_v also_o call_v helice_n minor_a because_o of_o the_o small_a revolution_n which_o it_o make_v round_o about_o the_o pole_n or_o rather_o of_o elice_n a_o town_n in_o arcadia_n wherein_o calysto_n the_o great_a bear_n and_o mother_n to_o the_o less_o be_v breed_v 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world_n for_o it_o be_v distant_a according_a to_o the_o opinion_n of_o most_o from_o the_o true_a pole_n but_o 23._o deg_n 30._o min._n the_o arabian_n call_v it_o alrukaba_n and_o of_o the_o scythian_n it_o be_v say_v to_o be_v a_o iron_n nail_n and_o be_v worship_v by_o they_o as_o a_o god_n the_o two_o star_n that_o be_v in_o the_o shoulder_n of_o the_o bear_n be_v call_v guard_n of_o the_o spanish_a word_n guardare_n which_o be_v to_o behold_v because_o they_o be_v diligent_o to_o be_v look_v unto_o in_o regard_n of_o the_o singular_a use_n which_o they_o have_v in_o navigation_n the_o reason_n why_o this_o constellation_n be_v bring_v into_o the_o heaven_n be_v diverse_o set_v down_o and_o first_o in_o this_o manner_n saturn_n have_v receive_v of_o the_o oracle_n that_o one_o of_o his_o son_n shall_v banish_v he_o out_o of_o his_o kingdom_n determine_v with_o himself_o to_o kill_v all_o the_o man_n child_n that_o he_o shall_v beget_v whereupon_o he_o give_v command_v to_o ops_n his_o wife_n be_v then_o great_a that_o she_o shall_v show_v he_o the_o child_n so_o soon_o as_o ever_o it_o be_v bear_v but_o she_o bring_v forth_o jupiter_n and_o be_v great_o delight_v with_o his_o hair_n give_v the_o child_n unto_o two_o nymph_n of_o crete_n dwell_v in_o the_o mount_n dicte_n whereof_o this_o be_v one_o and_o be_v call_v cynosura_n the_o other_o be_v helice_n jupter_n after_o that_o according_a to_o the_o oracle_n he_o have_v bereave_v his_o father_n of_o the_o kingdom_n in_o recompense_n of_o their_o pain_n and_o courtesy_n translate_v they_o both_o into_o the_o heaven_n and_o make_v of_o they_o two_o constellation_n the_o lesser_a bear_n and_o the_o great_a bear_n othersome_a say_v that_o it_o be_v arcas_n the_o son_n of_o

he_o that_o be_v ready_a to_o read_v the_o story_n can_v content_v himself_o therewith_o but_o desire_v also_o to_o know_v the_o constellation_n or_o at_o leastwise_o some_o principal_a star_n therein_o finis_fw-la a_o discourse_n of_o the_o antiquity_n progress_n and_o augmentation_n of_o astronomy_n first_o it_o seem_v not_o to_o be_v doubt_v but_o i._o that_o there_o be_v some_o kind_n of_o observation_n of_o body_n celestial_a as_o soon_o as_o in-artificial_a there_o be_v man_n consider_v that_o the_o spectacle_n which_o the_o heaven_n constant_o present_a be_v both_o so_o glorious_a and_o so_o useful_a that_o man_n can_v not_o have_v eye_n to_o see_v and_o not_o fix_v they_o attentive_o and_o considerate_o thereupon_o for_o among_o other_o apparence_n when_o they_o see_v the_o sun_n daily_o to_o change_v the_o place_n of_o its_o rise_n and_o set_v at_o certain_a time_n of_o the_o year_n to_o approach_v near_o to_o the_o earth_n in_o its_o diurnal_a arch_n and_o at_o other_o again_o to_o mount_v up_o to_o a_o height_n much_o more_o sublime_a and_o remote_a from_o it_o and_o that_o his_o come_n near_a to_o the_o earth_n make_v winter_n and_o his_o remove_n high_o make_v summer_n we_o say_v when_o they_o behold_v these_o thing_n doubtless_o they_o can_v not_o but_o serious_o remark_n and_o consider_v this_o vicissitude_n according_a to_o which_o they_o may_v expect_v the_o season_n will_v be_v more_o hard_a or_o mild_a to_o they_o in_o this_o low_a region_n of_o the_o world_n again_o so_o admirable_o various_a do_v the_o moon_n appear_v in_o her_o several_a shape_n and_o dress_n of_o light_n that_o she_o can_v not_o but_o invite_v man_n eye_n and_o engage_v they_o to_o frequent_a speculation_n special_o when_o she_o assume_v those_o various_a face_n or_o apparence_n at_o set_n and_o certain_a time_n in_o respect_n whereof_o it_o come_v to_o pass_v that_o every_o nation_n measure_v their_o time_n and_o season_n by_o those_o her_o constant_a and_o periodical_a circuit_n and_o this_o because_o those_o period_n succeed_v much_o more_o frequent_o than_o the_o erection_n and_o depression_n of_o the_o sun_n to_o these_o we_o may_v add_v that_o beautiful_a show_n of_o the_o nightly_o star_n undergo_a likewise_o their_o variation_n according_a the_o variety_n of_o season_n and_o more_o particular_o that_o bright_a star_n of_o lucifer_n rise_v sometime_o late_a sometime_o early_o and_o sometime_o not_o at_o all_o before_o the_o sun_n and_o the_o like_a but_o what_o we_o shall_v principal_o note_v be_v only_o this_o that_o though_o mankind_n be_v long_o before_o they_o come_v to_o make_v inquiry_n into_o the_o cause_n of_o these_o celestial_a change_n and_o variation_n restrain_v to_o set_v period_n yet_o they_o observe_v they_o from_o the_o very_a first_o age_n and_o not_o only_o admire_v but_o also_o accommodate_v what_o they_o observe_v to_o the_o use_n of_o their_o life_n and_o their_o successor_n here_o it_o may_v not_o be_v fruitless_a to_o remember_v that_o prometheus_n who_o be_v imagine_v to_o have_v frame_v the_o first_o man_n be_v also_o imagine_v to_o have_v give_v he_o a_o erect_a figure_n and_o sublime_a countenance_n to_o the_o end_n he_o may_v the_o more_o advantageous_o advance_v his_o eye_n to_o the_o heaven_n and_o contemplate_v the_o glory_n and_o motion_n of_o the_o celestial_a light_n but_o because_o this_o be_v too_o general_n and_o rude_a a_o way_n of_o observation_n and_o it_o be_v our_o business_n to_o look_v back_o into_o those_o time_n wherein_o man_n first_o make_v such_o observation_n of_o sydereral_n body_n as_o give_v they_o the_o hint_n and_o occasion_n of_o reduce_v they_o to_o method_n and_o sound_v the_o principle_n of_o the_o art_n or_o science_n of_o astronomy_n thereupon_o we_o must_v have_v recourse_n to_o the_o monument_n in_o sacred_a writ_n for_o the_o understanding_n of_o that_o obscure_a matter_n and_o indeed_o the_o light_n we_o expect_v from_o sacred_a leave_n will_v of_o soon_o be_v clear_a enough_o to_o discuss_v all_o the_o darkness_n wherein_o the_o original_a of_o astronomy_n seem_v involve_v can_v we_o but_o from_o they_o deduce_v the_o least_o evidence_n for_o that_o which_o the_o learned_a antiquary_n among_o the_o jew_n josephus_n affirm_v of_o the_o son_n of_o seth_n viz._n that_o they_o invent_v the_o science_n of_o the_o heaven_n before_o the_o flood_n and_o engrave_v the_o same_o on_o two_o pillar_n the_o one_o of_o brick_n the_o other_o 3._o of_o stone_n that_o so_o it_o may_v be_v preserve_v in_o the_o one_o in_o case_n the_o fury_n of_o the_o deiuge_a to_o come_v shall_v demolish_v and_o deface_v the_o other_o or_o if_o there_o remain_v to_o we_o any_o the_o most_o slender_a testimony_n of_o the_o reason_n he_o there_o give_v of_o the_o so_o great_a longevity_n of_o man_n in_o those_o 4._o day_n namely_o that_o the_o duration_n of_o their_o life_n be_v sufficient_o long_a to_o perfect_v the_o knowledge_n of_o astronomy_n which_o require_v full_a 600_o year_n at_o the_o least_o to_o the_o observation_n of_o all_o the_o variety_n of_o celestial_a motion_n whereupon_o he_o note_v that_o the_o great_a year_n as_o they_o call_v it_o do_v consist_v of_o six_o hundred_o common_a year_n the_o vulgar_a opinion_n be_v that_o the_o celestial_a motion_n do_v continual_o vary_v donec_fw-la consumpto_fw-la magnus_fw-la qui_fw-la dicitur_fw-la anno_fw-la anim._n rursus_fw-la in_o 〈◊〉_d antiquum_fw-la redeant_fw-la vaga_fw-la sidera_fw-la cursum_fw-la qualia_n praeteriti_fw-la steterant_fw-la ab_fw-la origine_fw-la mundi_fw-la again_o the_o business_n may_v be_v deduce_v from_o not_o long_a after_o the_o flood_n if_o in_o scripture_n we_o can_v find_v but_o the_o least_o word_n from_o whence_o may_v be_v argue_v the_o truth_n of_o what_o the_o same_o author_n write_v namely_o that_o the_o egyptian_n be_v teach_v astronomy_n by_o abraham_n probable_a enough_o it_o be_v we_o confess_v that_o berosus_n and_o other_o quote_v aswell_o by_o josephus_n as_o eusebius_n have_v read_v some_o such_o thing_n in_o some_o book_n of_o the_o old_a rabbin_n but_o that_o the_o same_o shall_v be_v fetch_v from_o holy_a writ_n be_v most_o improbable_a therein_o be_v no_o mention_n at_o all_o of_o any_o such_o thing_n beside_o there_o be_v pious_a and_o learned_a doctor_n and_o among_o they_o salianus_n who_o will_v not_o allow_v it_o to_o be_v so_o much_o as_o probable_a that_o abraham_n shall_v instruct_v the_o egyptian_n in_o astronomy_n because_o of_o the_o very_a small_a time_n of_o his_o stay_n among_o they_o in_o egypt_n it_o be_v write_v indeed_o that_o abraham_n come_v from_o ur_fw-la of_o the_o chaldean_n but_o not_o that_o he_o receive_v 11._o astronomy_n from_o the_o chaldean_n or_o that_o he_o deliver_v it_o from_o they_o to_o the_o egyptian_n and_o therefore_o they_o conclude_v that_o what_o josephus_n say_v of_o abraham_n read_v astronomy_n in_o egypt_n may_v with_o more_o probability_n be_v impute_v to_o his_o great-grand_a child_n joseph_n concern_v he_o therefore_o we_o read_v in_o truth_n that_o he_o be_v singular_o favourable_a to_o the_o priest_n in_o egypt_n at_o such_o time_n as_o all_o the_o rest_n of_o the_o people_n mortgage_v their_o land_n to_o the_o king_n for_o bread_n during_o that_o woeful_a and_o long_a famine_n for_o he_o except_v the_o land_n belong_v to_o the_o priesthood_n and_o as_o the_o text_n say_v assign_v they_o certain_a portion_n out_o of_o the_o public_a granary_n 47._o so_o that_o from_o hence_o may_v be_v prove_v what_o aristotel_n tell_v we_o from_o other_o authority_n that_o among_o the_o egyptian_n the_o most_o ancient_a nation_n the_o priest_n be_v exempt_v from_o labour_n and_o leave_v to_o 1._o the_o easy_a employment_n of_o their_o mind_n and_o that_o this_o give_v they_o occasion_n to_o invent_v and_o constitute_v the_o mathematics_n and_o yet_o for_o all_o this_o it_o be_v not_o write_v either_o that_o joseph_n teach_v those_o egyptian_a priest_n the_o mathematics_n or_o that_o they_o teach_v they_o to_o he_o and_o perhaps_o that_o favour_n he_o show_v the_o priest_n be_v a_o argument_n not_o only_o of_o the_o respect_n and_o veneration_n bear_v they_o by_o the_o king_n and_o all_o his_o people_n but_o also_o of_o his_o particular_a gratitude_n towards_o they_o in_o that_o he_o who_o have_v be_v breed_v up_o only_o to_o sheppardry_n and_o country_n employment_n and_o be_v whole_o ignorant_a of_o all_o art_n and_o science_n at_o his_o first_o come_v among_o they_o be_v afterward_o advance_v to_o the_o height_n of_o a_o courtier_n and_o lustre_n of_o a_o favourite_n have_v be_v instruct_v by_o they_o in_o something_o more_o noble_a and_o sublime_a and_o true_o the_o divine_a moses_n not_o long_o after_o admit_v into_o the_o same_o court_n be_v not_o deliver_v so_o much_o to_o have_v erudit_v any_o other_o as_o to_o have_v be_v himself_o learned_a in_o all_o the_o wisdom_n of_o the_o egyptian_n nevertheless_o consider_v

plato_n himself_o who_o be_v companion_n to_o eudoxus_n for_o thirteen_o year_n together_o in_o egypt_n profess_v epinom_n that_o he_o can_v attain_v nothing_o solid_a and_o satisfactory_a touch_v those_o star_n and_o therefore_o place_v all_o his_o hope_n only_o in_o the_o sagacity_n and_o industry_n of_o the_o grecian_n such_o as_o he_o know_v eudoxus_n to_o be_v for_o have_v first_o recount_v what_o ever_o he_o know_v concern_v they_o he_o say_v it_o be_v to_o believe_v that_o the_o grecian_n make_v more_o perfect_a whatsoever_o they_o receive_v from_o barbarian_n and_o therefore_o be_v it_o fit_a we_o allow_v the_o same_o touch_v the_o argument_n of_o which_o we_o have_v discourse_v truth_n be_v it_o be_v difficult_a to_o find_v out_o the_o way_n how_o all_o these_o apparence_n so_o involve_v in_o obscurity_n may_v be_v explicate_v nevertheless_o there_o be_v great_a hope_n that_o thing_n of_o that_o sort_n will_v be_v better_a and_o more_o advantageous_o handle_v than_o they_o be_v deliver_v to_o we_o by_o barbarian_n from_o the_o egyptian_n and_o chaldean_n therefore_o as_o astronomy_n hesiod_n herself_o while_o young_a and_o rude_a we_o come_v to_o the_o grecian_n and_o the_o most_o antique_a record_n of_o syderal_n observation_n to_o be_v find_v among_o they_o seem_v to_o be_v that_o of_o hesiod_n who_o in_o his_o book_n of_o week_n and_o day_n teach_v husbandman_n the_o most_o opportune_a time_n of_o reap_v sow_v and_o other_o labour_n of_o agriculture_n from_o the_o rise_n and_o set_v of_o the_o pleyade_n and_o hyades_n and_o arcturus_n the_o dog-star_n and_o orion_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d donec_fw-la pleiades_n quae_fw-la &_o atlantiades_n exoviuntur_fw-la etc._n etc._n and_o i_o can_v tell_v whether_o it_o be_v that_o book_n or_o some_o other_o that_o pliny_n mean_v when_o speak_v of_o hesiod_n he_o say_v huius_fw-la quoque_fw-la nomine_fw-la extat_fw-la astrologia_fw-la there_o be_v extant_a a_o astrology_n of_o he_o however_o we_o be_v here_o to_o remark_n two_o thing_n in_o order_n to_o our_o more_o exact_a disquisition_n the_o first_o be_v that_o the_o ancient_a greek_n principal_o attend_v to_o these_o rise_n and_o setting_n aswell_o that_o they_o may_v distinguish_v the_o several_a season_n of_o the_o year_n as_o that_o they_o may_v foreknow_v rain_n wind_n and_o other_o disposition_n of_o the_o air_n usual_o attend_v those_o season_n and_o hereupon_o thales_n anaximander_n democritus_n euctemon_n meton_n eudoxus_n and_o aliis_fw-la many_o other_o compose_v certain_a parapegmata_fw-la table_n as_o ephemerides_n or_o diaries_n in_o which_o they_o inscribe_v each_o day_n of_o the_o year_n with_o the_o particular_a star_n rise_v or_o set_v on_o each_o day_n and_o what_o mutation_n of_o the_o air_n each_o one_o do_v portend_v such_o a_o darapegme_n as_o these_o be_v compose_v likewise_o by_o julius_n caesar_n himself_o for_o the_o horizon_n of_o kome_n in_o allusion_n where_o to_o he_o may_v just_o own_v what_o lucan_n say_v for_o he_o 10._o nec_fw-la meus_fw-la eudoxi_n fastis_fw-la superabitur_fw-la annus_fw-la and_o he_o doubtless_o do_v ovid_n translate_v into_o his_o fasti_fw-la promise_v 1._o in_o the_o beginning_n that_o he_o will_v sing_v of_o the_o star_n and_o sign_n that_o rose_n and_o again_o descend_v under_o the_o earth_n but_o to_o keep_v close_o to_o the_o grecian_n among_o they_o he_o be_v hold_v a_o great_a astrologer_n who_o have_v discover_v and_o observe_v only_o these_o rise_n and_o setting_n here_o speak_v of_o and_o so_o of_o who_o that_o may_v be_v speak_v which_o catullus_n say_v of_o conon_n omnia_fw-la qui_fw-la magni_fw-la dispexit_fw-la lumina_fw-la mundi_fw-la stellorumque_fw-la ortus_fw-la comperit_fw-la atque_fw-la obitus_fw-la for_o before_o the_o advent_n of_o berosus_n this_o be_v the_o only_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d praesignification_n or_o divination_n by_o the_o star_n the_o grecian_n have_v among_o they_o unless_o what_o hesiod_n hint_n in_o his_o ●●ebns_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d primùm_fw-la prima_fw-la dies_fw-la &_o quarta_fw-la &_o septima_fw-la sacra_fw-la etc._n etc._n where_o he_o point_v out_o what_o day_n of_o the_o moon_n be_v account_v lucky_a and_o what_o unlucky_a the_o second_o observable_a be_v that_o among_o the_o grecian_n and_o indeed_o among_o divers_a other_o nation_n beyond_o all_o memorial_n of_o either_o tradition_n or_o book_n the_o star_n be_v reduce_v to_o certain_a image_n or_o constellation_n and_o denominate_v according_o as_o their_o name_n yet_o show_v as_o it_o please_v the_o fancy_n of_o husbandman_n shepherd_n matiner_n and_o the_o like_a who_o use_v to_o be_v vigilant_a and_o gize_v upon_o the_o heaven_n in_o clear_a night_n though_o there_o have_v be_v some_o constellation_n add_v of_o latter_a time_n as_o that_o of_o the_o lesser_a wain_n by_o thales_n which_o lacrtius_n and_o tatius_n recite_v out_o of_o 〈◊〉_d callimachus_n who_o also_o take_v the_o same_o elsewhere_o and_o that_o of_o berenice_n hair_n remove_v into_o heaven_n by_o conon_n as_o catullus_n relate_v cleostratus_n likewise_o as_o we_o have_v it_o from_o hyginus_n find_v 8._o out_o the_o kid_n though_o which_o pliny_n moreover_o attribute_n to_o he_o his_o invention_n of_o the_o sign_n in_o the_o zodiac_n be_v so_o to_o be_v understand_v as_o that_o he_o teach_v man_n through_o what_o sign_n the_o sun_n and_o other_o planet_n pass_v but_o that_o we_o may_v couch_v also_o upon_o this_o at_o first_o the_o grecian_n have_v only_o eleven_o sign_n in_o their_o zodiac_n and_o it_o be_v long_o after_o ere_o they_o come_v to_o add_v the_o twelve_o in_o imitation_n of_o the_o egyptian_n who_o as_o may_v be_v collect_v from_o servins_n 8._o marcianus_n and_o other_o instead_o of_o the_o claw_n of_o the_o scorpion_n place_v libra_n the_o place_n destine_v to_o augustus_n by_o virgil_n ipse_fw-la tibi_fw-la jam_fw-la brachia_fw-la contrahit_fw-la arden_n scorpius_n georg._n they_o add_v the_o twelve_o we_o say_v to_o the_o end_n that_o as_o the_o whole_a compass_n of_o the_o zodiac_n be_v divide_v into_o dodecatemoria_fw-la as_o they_o call_v they_o twelve_o equal_a part_n so_o it_o may_v consist_v also_o of_o twelve_o sign_n albeit_o be_v as_o it_o be_v necessitate_v to_o make_v use_n of_o such_o sign_n as_o have_v be_v bring_v up_o rather_o by_o chance_n than_o art_n those_o 12._o sign_n be_v not_o exact_o proportionate_a to_o the_o 12._o division_n of_o the_o zodiac_n but_o take_v up_o more_o space_n some_o than_o other_o as_o in_o particular_a leo_n possess_v more_o room_n than_o cancer_n taurus_n than_o gemini_fw-la i_o say_v than_o gemini_fw-la which_o though_o compose_v of_o castor_n and_o pollux_n in_o so_o little_a space_n as_o be_v allow_v they_o it_o be_v impossible_a the_o one_o shall_v rise_v when_o the_o other_o set_v and_o both_o in_o the_o east_n but_o this_o empiricus_n interpret_v of_o the_o two_o physic._n hemisphear_n i_o omit_v to_o insist_v upon_o this_o that_o all_o nation_n have_v not_o the_o same_o constellation_n as_o among_o the_o egyptian_n be_v no_o bear_n no_o cepheus_n no_o dragon_n but_o other_o form_n or_o representation_n as_o tatius_n report_v and_o shall_v add_v only_o that_o eudoxus_n seem_v to_o have_v be_v the_o first_o who_o partly_o out_o of_o the_o egyptian_a figure_n partly_o out_o of_o the_o grecian_a furnish_v the_o whole_a zodiac_n with_o image_n resemble_v the_o asterism_n as_o man_n have_v fancy_v at_o least_o and_o cause_v they_o to_o be_v draw_v on_o a_o globe_n or_o solid_a sphere_n for_o aratus_n upon_o who_o poem_n entitle_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d apparence_n there_o have_v be_v so_o many_o commentary_n set_v forth_o as_o that_o no_o few_o than_o forty_o have_v be_v extant_a in_o greek_a beside_o those_o of_o cicero_n germanicus_n avienus_n and_o other_o latin_a interpreter_n do_v no_o more_o but_o only_o express_v in_o verse_n what_o eudoxus_n have_v say_v before_o in_o prose_n of_o this_o argument_n as_o hipparchus_n bythinus_n demonstrate_v i_o know_v not_o whether_o it_o will_v be_v seasonable_a for_o i_o ●han●_n here_o to_o advertise_v that_o it_o be_v no_o wonder_n aratus_n err_v so_o gross_o in_o many_o particular_n consider_v that_o as_o be_v write_v in_o his_o life_n he_o live_v with_o antigonus_n gonata_n in_o the_o quality_n of_o his_o physician_n and_o nicander_n in_o the_o quality_n of_o his_o astrologer_n and_o both_o be_v good_a at_o poetry_n antigonus_n command_v the_o physician_n to_o give_v he_o a_o trial_n of_o his_o poesy_n upon_o a_o argument_n in_o astrology_n and_o the_o astrologer_n to_o give_v another_o of_o he_o upon_o something_o in_o physic_n deliver_v to_o the_o one_o the_o book_n of_o eudoxus_n and_o to_o the_o other_o all_o that_o be_v extant_a of_o treacle_n antidote_n or_o counterpoison_n so_o each_o write_v of_o what_o he_o do_v not_o well_o understand_v one_o thing_n i_o shall_v not_o forget_v and_o that_o be_v that_o the_o phenomena_n of_o euclid_n who_o live_v near_o

time_n of_o the_o nicene_n council_n which_o be_v one_o of_o the_o two_o main_a cause_n of_o the_o reformation_n of_o the_o calendar_n in_o the_o eighty_o second_o year_n of_o the_o last_o age._n and_o now_o we_o have_v a_o opportunity_n to_o speak_v more_o express_o of_o sphere_n eudoxus_n so_o frequent_o mention_v this_o man_n well_o understanding_n after_o his_o return_n out_o of_o egypt_n that_o not_o only_o the_o sun_n and_o moon_n but_o also_o the_o five_o errant_a star_n do_v keep_v their_o course_n round_o in_o the_o zodiac_n and_o so_o as_o that_o aswell_o the_o sun_n and_o moon_n as_o those_o wander_a star_n do_v sometime_o vary_v their_o latitude_n or_o deviate_v from_o the_o ecliptic_a line_n in_o the_o middle_n of_o the_o zodiac_n for_o he_o think_v that_o the_o sun_n be_v also_o extravagant_a as_o well_o as_o the_o rest_n and_o again_o that_o the_o other_o planet_n do_v not_o only_o go_v forward_o but_o be_v also_o some_o time_n upon_o their_o retreat_n backward_o and_o sometime_o make_v a_o halt_a or_o stand_v still_o we_o say_v ponder_v all_o these_o various_a motion_n in_o his_o mind_n and_o cast_v about_o what_o may_v be_v the_o reason_n thereof_o in_o nature_n he_o at_o last_o imagine_v to_o himself_o that_o beside_o the_o aplane_n or_o sphere_n of_o fix_a star_n which_o be_v supreme_a carry_v all_o the_o rest_n towards_o the_o west_n there_o ought_v also_o to_o be_v allow_v three_o other_o sphere_n as_o well_o to_o the_o sun_n as_o to_o the_o moon_n and_o four_o to_o each_o one_o of_o the_o other_o errant_a star_n of_o which_o one_o and_o that_o the_o high_a shall_v follow_v the_o impression_n of_o the_o fix_a star_n or_o rather_o of_o the_o primum_fw-la mobile_n the_o next_o to_o that_o shall_v move_v counter_a to_o the_o first_o or_o towards_o the_o east_n the_o three_o make_v the_o deviation_n from_o the_o ecliptic_a or_o middle_a of_o the_o zodiac_n and_o the_o four_o or_o low_a cause_n in_o the_o star_n their_o direction_n station_n and_o retrogradation_n and_o that_o by_o a_o certain_a vibration_n or_o waive_v to_o and_o again_o so_o that_o he_o suppose_v in_o all_o twenty_o seven_o sphere_n and_o all_o those_o concentricall_a that_o the_o superior_a may_v carry_v on_o the_o inferior_a and_o these_o may_v be_v turn_v round_o within_o those_o afterward_o callippus_n adjoin_v two_o sphere_n to_o the_o sun_n two_o to_o the_o moon_n and_o one_o a_o piece_n to_o mars_n venus_n and_o mercury_n and_o so_o make_v thirty_o three_o and_o aristotle_n to_o all_o the_o sphere_n which_o do_v not_o follow_v the_o motion_n of_o the_o aplane_n or_o primum_fw-la mobile_n except_v only_o the_o lunar_a sphere_n add_v as_o many_o more_o which_o he_o call_v the_o revolvent_a one_o to_o the_o end_n he_o may_v conform_v they_o to_o the_o motion_n of_o the_o inerrant_n sphere_n or_o primum_fw-la mobile_n and_o so_o in_o the_o whole_a he_o constitute_v fifty_o six_o sphere_n for_o as_o much_o at_o least_o as_o we_o can_v collect_v from_o his_o own_o context_n now_o all_o these_o and_o even_o plato_n himself_o likewise_o think_v that_o the_o moon_n be_v the_o low_a of_o all_o the_o planet_n next_o to_o she_o the_o sun_n and_o above_o the_o sun_n the_o five_o wander_a star_n nor_o indeed_o do_v it_o appear_v that_o archimedes_n himself_o live_v a_o whole_a age_n or_o two_o after_o they_o represent_v the_o planet_n in_o any_o other_o than_o this_o very_a order_n in_o that_o so_o famous_a sphere_n of_o he_o in_o which_o though_o claudian_n tell_v we_o that_o no_o more_o be_v represent_v but_o only_o the_o motion_n of_o the_o sun_n and_o moon_n percurrit_fw-la proprium_fw-la mentitus_fw-la signifer_fw-la annum_fw-la epigram_n et_fw-la simulata_fw-la novo_fw-la cynthia_n mense_fw-la redit_fw-la yet_o cicero_n add_v other_o motion_n when_o speak_v of_o archimedes_n he_o say_v when_o he_o collect_v together_o the_o motion_n of_o the_o divinat_fw-la moon_n sun_n and_o five_o wander_a star_n he_o do_v the_o same_o as_o that_o god_n who_o in_o plato_n timaeus_n frame_v the_o world_n that_o one_o and_o the_o same_o conversion_n may_v regulate_v sundry_a motion_n most_o different_a each_o from_o other_o in_o slowness_n and_o swiftness_n but_o hipparchus_n afterward_o find_v that_o aswell_o the_o sun_n as_o the_o moon_n and_o the_o other_o five_o star_n do_v come_v sometime_o near_o to_o the_o earth_n and_o sometime_o again_o mount_v up_o far_o from_o it_o and_o plain_o perceive_v that_o that_o particular_a appearance_n can_v not_o possible_o be_v explicate_v by_o those_o sphere_n that_o be_v all_o concentrical_a to_o the_o earth_n therefore_o whole_o reject_v they_o he_o resolve_v that_o the_o motion_n of_o the_o planet_n be_v to_o be_v account_v eccentrick_a and_o though_o he_o can_v not_o himself_o determine_v each_o particular_a he_o yet_o demonstrate_v the_o way_n in_o which_o ptolemy_n afterward_o insist_v accomplish_v the_o invention_n but_o before_o we_o advance_v further_o we_o be_v to_o commemorate_v two_o or_o three_o person_n of_o note_n by_o who_o observation_n both_o hipparchus_n and_o ptolemy_n profit_v very_o much_o one_o be_v timocharis_n who_o about_o three_o hundred_o year_n before_o christ_n among_o other_o thing_n relate_v to_o the_o fix_a star_n observe_v that_o that_o star_n which_o be_v call_v spica_fw-la virgin_n do_v antecede_v the_o point_n of_o the_o atumnal_a equinox_n by_o eight_o degree_n and_o with_o he_o be_v we_o to_o join_v arist●ll●s_n who_o observation_n of_o something_o about_o the_o fix_a star_n ptolemy_n make_v great_a use_n of_o in_o order_n to_o his_o demonstrate_v that_o the_o fix_a star_n never_o change_v their_o latitude_n afterward_o scarce_o in_o age_n succeed_v eratosthenes_n who_o be_v library-keeper_n to_o ptolemy_n evergeta_n the_o fomer_n persuade_v he_o to_o set_v up_o the_o armillae_n in_o the_o porticus_fw-la of_o alexandria_n which_o hipparchus_n and_o ptolemy_n 11._o afterward_o make_v use_n of_o and_o himself_o among_o other_o thing_n observe_v that_o the_o obliquity_n of_o the_o zodiac_n be_v of_o twenty_o three_o degree_n and_o fifty_o one_o minute_n which_o account_n hipparchus_n and_o ptolemy_n constant_o adhere_v to_o now_o that_o we_o may_v at_o length_n remember_v the_o great_a hipparchus_n latitude_n who_o flourish_v near_o upon_o a_o hundred_o and_o forty_o year_n before_o christ_n true_o we_o find_v it_o no_o easy_a task_n to_o recount_v how_o high_o astronomy_n be_v behold_v to_o he_o for_o in_o the_o first_o place_n examine_v that_o foresay_a observation_n of_o timocharis_n with_o some_o other_o albeit_o he_o can_v not_o conceive_v they_o to_o be_v in_o all_o point_v exact_a yet_o because_o himself_o have_v find_v that_o spica_fw-la virgin_n do_v not_o antecede_v the_o equinoctial_a point_n by_o more_o than_o six_o degree_n and_o the_o other_o star_n in_o the_o like_a proportion_n he_o thence_o understand_v that_o the_o fix_a star_n also_o be_v move_v eastward_o according_a to_o the_o zodiac_n and_o thereupon_o write_v a_o book_n of_o the_o transgression_n of_o the_o solstice_n &_o equinox_n and_o be_v that_o in_o his_o time_n as_o not_o long_o ago_o in_o tycho_n brahe_n there_o appear_v a_o certain_a new_a star_n he_o therefore_o come_v to_o doubt_v to_o speak_v the_o language_n of_o pliny_n 26._o concern_v he_o whether_o the_o like_v happen_v often_o or_o not_o and_o whether_o those_o star_n that_o be_v think_v to_o be_v fix_v have_v also_o some_o certain_a motion_n peculiar_a to_o themselves_o wherefore_o as_o the_o same_o pliny_n go_v on_o he_o attempt_v a_o task_n of_o difficulty_n sufficient_a even_o for_o the_o god_n themselves_o namely_o to_o number_v the_o star_n for_o posterity_n and_o reduce_v the_o heavenly_a light_n to_o a_o rule_n so_o that_o by_o the_o help_n of_o instrument_n invent_v the_o particular_a place_n of_o each_o one_o together_o with_o its_o magnitude_n may_v be_v exact_o design_v and_o whereby_o man_n may_v discern_v not_o only_o whether_o they_o disappear_v or_o new_o appear_v but_o also_o whether_o they_o remove_v their_o station_n as_o likewise_o whether_o their_o magnitude_n increase_v or_o diminish_v leave_v heaven_n for_o and_o inheritance_n for_o the_o wit_n of_o succeed_v age_n if_o any_o be_v find_v acute_a and_o industrious_a enough_o to_o comprehend_v the_o mysterious_a order_n thereof_o and_o this_o be_v the_o first_o time_n when_o the_o place_n of_o the_o fix_a star_n be_v observe_v and_o mark_v out_o according_a to_o longitude_n and_o latitude_n and_o that_o catalogue_n of_o the_o fix_a star_n which_o he_o compose_v be_v the_o very_a same_o which_o ptolemy_n afterward_o insert_v into_o his_o almage_a in_o the_o cap._n next_o place_n he_o denote_v be_v position_n sundry_a star_n have_v in_o respect_n each_o of_o other_o whether_o they_o be_v posit_v in_o a_o right_a line_n or_o in_o a_o triangular_a form_n or_o in_o quadrate_n or_o square_n etc._n etc._n as_o be_v manifest_a even_o