Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	north_n	side_n	south_n	2,400	5	9.1749	5	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

order_n or_o late_a author_n give_v the_o plain_n their_o name_n upon_o the_o same_o ground_n you_o may_v also_o learn_v to_o know_v they_o i_o confess_v both_o way_n admit_v of_o some_o just_a exception_n against_o for_o in_o the_o old_a rule_n a_o plain_a about_o the_o pole_n be_v call_v a_o equinoctial_a plain_n when_o as_o to_o a_o sudden_a apprehension_n it_o will_v sound_v more_o significant_a to_o call_v it_o a_o polar_a plain_n as_o late_a author_n do_v again_o late_a author_n call_v a_o horizontall_a plain_n a_o vertical_a plain_n when_o as_o it_o sound_v more_o significant_a to_o call_v it_o a_o horizontal_n plain_n as_o old_a author_n do_v because_o it_o lie_v flat_a upon_o the_o horizon_n but_o i_o shall_v give_v you_o the_o name_n according_a to_o both_o rule_n and_o leave_v you_o to_o your_o liberty_n to_o accept_v of_o which_o you_o please_v first_o therefore_o you_o have_v a_o equinoctial_a plain_n otherwise_o call_v a_o polar_a plain_n this_o plain_n have_v two_o face_n upper_a and_o under_z these_o two_o face_n lie_v in_o the_o plain_a of_o the_o equinoctial_a the_o upper_a face_n behold_v the_o elevate_v pole_n the_o under_z face_n the_o depress_v pole_n 2._o a_o horizontal_n plain_n otherwise_o call_v a_o vertical_a plain_n it_o lie_v in_o the_o plain_a of_o the_o horizon_n direct_o behold_v the_o zenith_n erect_a plain_n otherwise_o call_v horizontal_n plain_n be_v the_o side_n of_o wall_n and_o these_o be_v of_o seven_o sort_n viz_o 1._o erect_v direct_v vertical_a north_n or_o south_n 2._o erect_v direct_n east_n or_o west_n 3._o erect_v vertical_a decline_a 4._o erect_v incline_v direct_a 5._o erect_v incline_v decline_a 6._o erect_a recline_a direct_a 7._o erect_a recline_a decline_a 3._o erect_v vertical_a north_n or_o south_n direct_v otherwise_o call_v direct_a north_n or_o south_n horizontal_n behold_v the_o north_n or_o south_n direct_o and_o lie_v in_o the_o east_n or_o west_n azimuth_n 4._o erect_v direct_a east_n or_o west_n 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plain_n which_o be_v either_o incline_v or_o recline_v but_o 〈◊〉_d behold_v the_o east_n west_n north_n or_o south_n direct_o but_o 〈◊〉_d or_o decline_v more_o or_o less_o from_o they_o 9_o polar_a plain_n be_v parallel_v to_o the_o axis_n of_o the_o world_n and_o to_o the_o m●ridians_n that_n cut_v the_o east_n and_o west_n or_o north_n and_o south_n point_n of_o the_o horizon_n all_o these_o kind_n of_o plain_n have_v two_o face_n the_o one_o behold_v the_o north_n pole_n with_o the_o same_o respect_n that_o the_o other_o behold_v the_o south_n pole_n except_o the_o equinoctial_a plain_n which_o because_o neither_o pole_n be_v elevate_v have_v but_o one_o face_n yet_o that_o one_o contain_v as_o many_o hour_n line_n as_o two_o other_o face_n these_o two_o face_n or_o plain_n will_v receive_v just_a 24._o hour_n line_n fo●_n the_o 24_o hour-line_n of_o day_n and_o night_n for_o so_o much_o as_o the_o one_o side_n or_o face_n want_v or_o exceed_v 12._o the_o other_o side_n shall_v 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whereas_o before_o you_o be_v direct_v to_o turn_v the_o clinatory_n till_o the_o north_n point_n of_o the_o needle_n point_n to_o the_o flower-de-luce_n on_o the_o ●aid_v you_o m●st_v now_o turn_v or_o move_z the_o clinatory_n till_o the_o north_n point_n of_o the_o needle_n ●arg_fw-mi just_a over_o the_o degree_n of_o variation_n thus_o sound_a and_o then_o a_o line_n draw_v as_o aforesaid_a by_o the_o side_n of_o the_o clinatory_a parallel_n to_o the_o needle_n shall_v be_v a_o north_n and_o south_n line_n or_o to_o speak_v more_o proper_o a_o meridional_a line_n you_o may_v fi●d_v a_o meridian_n li●e_z several_a other_o way_n as_o first_o if_o the_o sun_n shine_v just_a at_o noon_n hold_v up_o a_o plumb-line_n so_o as_o the_o shadow_n of_o it_o may_v fall_v upon_o your_o plain_n and_o

that_o shadow_n shall_v be_v a_o meridian_n li●e_z second_o on_o the_o backside_n the_o clinatory_n describe_v a_o circle_n and_o draw_v a_o line_n through_o the_o centre_n to_o both_o side_n the_o circumference_n across_o this_o line_n with_o a_o other_o line_n at_o r●ght_a angle_n in_o the_o centre_n so_o shall_v the_o circle_n be_v divide_v into_o four_o equal_a part_n these_o four_o part_n you_o must_v ma●k_v with_o east_n west_n north_n south_n and_o divide_v each_o of_o they_o into_o 90._o degree_n in_o the_o centre_n of_o this_o plain_n erect_v a_o straight_a wire_n prependicular_o when_o you_o will_v find_v a_o meridian_n line_n examine_v by_o the_o ten_o prob._n of_o the_o second_o book_n the_o amplitude_n of_o the_o sun_n rise_v or_o set_v from_o the_o east_n or_o west_n point_n and_o wait_v the_o just_a rise_n or_o set_v that_o day_n turn_v the_o instrument_n about_o till_o the_o shadow_n of_o the_o wire_n fall_v upon_o the_o same_o degree_n from_o the_o east_n or_o west_n 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aforesaid_a must_v be_v elevate_v 51½_n degree_n and_o one_o of_o the_o meridian_n line_n you_o may_v choose_v the_o vernal_a colour_n be_v bring_v to_o the_o brazen_a meridian_n which_o be_v do_v you_o be_v only_o to_o examine_v in_o the_o horizon_n because_o it_o be_v a_o horizontal_n plain_n at_o what_o distance_n from_o the_o meridian_n which_o in_o horizontals_n be_v the_o noon-line_n the_o several_a meridian_n draw_v on_o the_o globe_n intersect_v the_o horizon_n for_o that_o distance_n in_o degree_n shall_v be_v the_o distance_n on_o a_o circle_n divide_v into_o 360._o degree_n that_o each_o respective_a hour-line_n must_v have_v from_o the_o meridian_n or_o a_o noon_n line_n choose_v in_o the_o same_o circle_n and_o line_n draw_v from_o the_o centre_n of_o that_o circle_n through_o those_o degree_n shall_v be_v the_o hour_n line_n of_o a_o horizontal_n plain_n if_o your_o plain_n be_v not_o direct_v but_o decline_v east_n or_o west_n 〈◊〉_d must_v number_v the_o declination_n eastward_n or_o westward_n respective_o in_o the_o degree_n of_o the_o horizon_n and_o the_o quadrant_n 〈◊〉_d altitude_n screw_v to_o the_o zenith_n as_o aforesaid_a bring_v the_o low_a end_n of_o the_o quadrant_n of_o altitude_n to_o the_o say_a degree_n of_o declination_n and_o the_o number_n of_o degree_n cut_v by_o the_o meridian_n in_o the_o quadrant_n of_o altitude_n number_v downward_o be_v the_o number_n of_o degree_n that_o the_o hour-line_n be_v distant_a from_o the_o noon_n line_n in_o a_o circle_n of_o 360_o degree_n and_o line_n draw_v from_o the_o centre_n of_o that_o circle_n through_o those_o degree_n be_v the_o hour_n line_n of_o half_a the_o day_n and_o if_o you_o turn_v about_o the_o quadrant_n of_o altitude_n upon_o the_o zenith_n point_n till_o the_o low_a end_n of_o it_o come_v to_o the_o degree_n of_o the_o horizon_n

solsticial_a colour_n to_o the_o meridian_n on_o the_o north_n side_n the_o horizon_n and_o screw_v the_o quadrant_n of_o altitude_n to_o the_o zenith_n which_o will_v be_v in_o 23½_n degree_n from_o the_o pole_n of_o the_o world_n so_o shall_v the_o ecliptic_a lie_n in_o the_o horizon_n and_o the_o pole_n of_o the_o ecliptic_a also_o lie_v under_o the_o centre_n of_o the_o quadrant_n of_o altitude_n as_o be_v show_v prob._n 27._o now_o to_o find_v the_o longitude_n of_o any_o star_n do_v thus_o turn_v the_o quadrant_n of_o altitude_n about_o till_o the_o graduated_a edge_n of_o it_o lie_v on_o the_o star_n and_o the_o degree_n in_o the_o ecliptic_a that_o the_o quadrant_n touch_v be_v the_o longitude_n of_o that_o star_n example_n for_o a_o star_n on_o the_o north_n side_n the_o ecliptic_a i_o will_v know_v the_o longitude_n of_o marchab_n a_o bright_a star_n in_o the_o wing_n of_o pegasus_n i_o find_v it_o on_o the_o north_n side_n the_o ecliptic_a therefore_o i_o elevate_v the_o north_n pole_n and_o place_v ♋_o on_o the_o north_n side_n the_o meridian_n i_o screw_v the_o quadrant_n of_o altitude_n to_o the_o zenith_n as_o aforesaid_a then_o lay_v the_o edge_n of_o the_o quadrant_n of_o altitude_n upon_o that_o star_n i_o find_v that_o the_o end_n of_o it_o reach_v in_o the_o ecliptic_a to_o ♓_o 18._o 56._o therefore_o i_o say_v the_o longitude_n of_o marchab_n be_v ♓_o 18._o 56._o for_o the_o latitude_n of_o a_o star_n the_o degree_n of_o the_o quadrant_n of_o altitude_n that_o touch_v the_o star_n be_v the_o latitude_n of_o the_o star_n example_n the_o globe_n and_o quadrant_n posit_v as_o before_o i_o find_v 19_o deg_n 26._o min._n account_v upward_o on_o the_o quadrant_n to_o touch_v marchab_n aforesaid_a therefore_o i_o say_v the_o latitude_n of_o marchab_n be_v 19_o deg_n 26._o min._n and_o thus_o by_o elevate_a the_o south_n pole_n and_o place_v the_o globe_n and_o quadrant_n of_o altitude_n as_o aforesaid_a i_o shall_v find_v canicula_fw-la have_v 15._o degree_n 57_o min._n south_n latitude_n and_o 21._o degr_n 18._o min_fw-mi in_fw-la ♋_o longitude_n prob._n xxxiii_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 this_o may_v be_v perform_v either_o with_o the_o quadrant_n of_o altitude_n or_o with_o a_o pair_n of_o compass_n with_o the_o quadrant_n of_o altitude_n 〈◊〉_d lay_v the_o low_a end_n thereof_o to_o one_o place_n and_o see_v what_o degree_n reach_v the_o other_o place_n for_o that_o be_v the_o number_n of_o degree_n between_o the_o two_o place_n if_o you_o multiply_v that_o number_n of_o degree_n by_o 60_o the_o product_n shall_v be_v the_o number_n of_o english_a mile_n between_o the_o two_o place_n example_n i_o will_v know_v the_o distance_n between_o london_n and_o the_o most_o easterly_a point_n of_o jama●ca_n i_o lay_v the_o low_a end_n of_o the_o quadrant_n of_o altitude_n to_o jamaica_n and_o extend_v the_o other_o end_n towards_o london_n i_o find_v 68½_n deg_n comprehend_v between_o they_o therefore_o i_o say_v 68½_n be_v the_o number_n of_o degree_n comprehend_v between_o london_n and_o jamaica_n if_o you_o will_v find_v the_o distance_n between_o they_o with_o your_o compass_n you_o must_v pitch_v one_o foot_n of_o your_o compass_n in_o the_o east_n point_n of_o jamaica_n and_o open_v your_o compass_n till_o the_o other_o foot_n reach_n london_n and_o keep_v your_o compass_n at_o that_o distance_n apply_v the_o foot_n to_o the_o equinoctial_a line_n and_o you_o will_v find_v 68½_n degree_n comprehend_v between_o they_o as_o before_o if_o you_o multiply_v 68½_n by_o 60_o be_v it_o give_v 4110._o english_a mile_n if_o you_o multiply_v it_o by_o 20_o it_o give_v 1370._o english_a league_n if_o you_o multiply_v it_o by_o 17½_n it_o give_v 1199._o spanish_a league_n if_o you_o multiply_v it_o by_o 15_o it_o give_v 1054_o dutch_a league_n prob._n xxxiv_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 two_o place_n be_v situate_a one_o from_o another_o find_v the_o two_o place_n on_o the_o terrestrial_a globe_n and_o see_v what_o ●umb_n pass_v through_o they_o for_o that_o be_v the_o point_n of_o the_o compass_n they_o bear_v upon_o example_n bristol_n and_o bermudas_n be_v the_o place_n i_o examine_v what_o rhumb_n pass_v through_o they_o both_o and_o because_o i_o find_v no_o rhumb_n to_o pass_v immediate_o through_o they_o both_o therefore_o i_o take_v that_o rhumb_n which_o run_v most_o parallel_n to_o both_o the_o place_n which_o in_o this_o example_n be_v the_o ten_o rhumb_n count_v from_o the_o north_n towards_o the_o left_a hand_n and_o be_v call_v as_o you_o may_v see_v by_o this_o follow_a figure_n west_n south_n west_n therefore_o i_o say_v bermudos_n lie_v situate_a from_o bristol_n west_n south_n west_n and_o by_o contrary_n bristol_n lie_v cituate_a from_o bermuda_n east_n north_n east_n prob._n xxxv_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 when_o any_o star_n rise_v with_o the_o sun_n it_o be_v say_v to_o rise_v cosmical_o and_o when_o any_o star_n set_v when_o the_o sun_n rise_v it_o be_v sa●d_v to_o set_a cosmical_o to_o find_v these_o rectify_v the_o globe_n to_o the_o latitude_n of_o your_o place_n and_o bring_v the_o place_n of_o the_o sun_n to_o the_o east_n side_n the_o horizon_n and_o the_o star_n then_o cut_v by_o the_o eastern_a semicircle_n of_o the_o horizon_n rise_v cosmical_o and_o those_o star_n cut_v by_o the_o western_a semicircle_n of_o the_o horizon_n set_v cosmical_o example_n novemb_n 9_o i_o will_v know_v what_o star_n rise_v and_o set_v cosmical_o here_o at_o london_n the_o sun_n place_v find_v as_o by_o the_o three_o problem_n be_v 〈◊〉_d 27._o therefore_o i_o bring_v 〈◊〉_d 27._o to_o the_o east_n side_n the_o horizon_n and_o in_o the_o eastern_a semicircle_n i_o find_v rise_v with_o the_o sun_n the_o right_a wing_n of_o cygnus_n the_o star_n in_o the_o end_n of_o aquila_n tail_n serpentarius_n and_o centaurus_n therefore_o these_o constellation_n be_v say_v to_o the_o cosmical_o in_o the_o western_a semicircle_n of_o the_o horizon_n i_o find_v set_v andromeda_n the_o triangle_n taurus_n orion_n anis_fw-la major_n and_o argo_n navis_fw-la therefore_o i_o say_v these_o constellation_n set_v cosmical_o prob._n xxxvi_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 the_o star_n that_o rise_v when_o the_o sun_n set_v be_v say_v to_o rise_v acronical_o and_o the_o star_n that_o set_v with_o the_o sun_n be_v say_v to_o set_a acronical_o to_o find_v these_o rectify_v the_o globe_n to_o the_o latitude_n of_o your_o place_n and_o bring_v the_o place_n of_o the_o sun_n to_o the_o west_n side_n the_o horizon_n and_o the_o star_n then_o cut_v by_o the_o eastern_a semicircle_n of_o the_o horizon_n rise_v acronical_o and_o those_o star_n cut_v by_o the_o western_a semicircle_n of_o the_o horizon_n set_v acronical_o example_n november_n 9_o i_o will_v know_v what_o star_n rise_v and_o set_v acronical_o here_o at_o london_n the_o sun_n place_n as_o before_o be_v 〈◊〉_d 27._o therefore_o i_o bring_v 〈◊〉_d 27._o to_o the_o west_n side_n the_o horizon_n and_o in_o the_o eastern_a semicircle_n i_o find_v rise_v the_o southern_a fi●h_n fomahant_n ce●us_n taurus_n auriga_fw-la and_o the_o feather_n in_o castor_n cap._n therefore_o these_o constellation_n be_v say_v to_o rise_v acronical_o in_o the_o western_a semicircle_n of_o the_o horizon_n i_o find_v set_v the_o lion_n tail_n virgo_fw-la scorpio_n and_o sagittarius_fw-la therefore_o i_o say_v these_o constellation_n set_v acronical_o prob._n xxxvii_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 when_o a_o star_n former_o in_o the_o sun_n beam_n get_v out_o of_o the_o sun_n beam_n it_o be_v say_v to_o rise_v heliacal_o and._n when_o a_o star_n former_o out_o of_o the_o sun_n beam_n get_v into_o the_o sun_n beam_n it_o be_v say_v to_o set_v heliacal_o a_o star_n be_v say_v to_o be_v in_o the_o sun_n beam_n when_o it_o be_v make_v inconspicuous_a by_o reason_n of_o its_o nearness_n to_o the_o sun_n light_n the_o big_a star_n be_v discernible_a more_o near_o the_o sun_n light_n than_o the_o lesser_a be_v for_o star_n of_o the_o first_o magnitude_n may_v according_a to_o the_o receive_a rule_n of_o ancient_a author_n be_v see_v when_o the_o sun_n be_v but_o 12._o degree_n below_o the_o horizon_n but_o star_n of_o second_o magnitude_n can_v be_v see_v unless_o the_o sun_n be_v 13._o degree_n below_o the_o horizon_n star_n of_o the_o three_o magnitude_n require_v the_o sun_n to_o be_v 14._o degree_n below_o the_o horizon_n ere_o they_o can_v be_v see_v of_o the_o four_o magnitude_n 15._o degree_n of_o the_o five_o

off_o these_o kind_n of_o planes_n to_o these_o hour_n line_n i_o set_v their_o number_n as_o you_o may_v see_v i●_n the_o figure_n here_o you_o may_v see_v that_o in_o decline_a dial_n the_o style_n do_v not_o stand_v at_o the_o same_o elevation_n above_o the_o plane_n that_o it_o do_v in_o erect_a direct_a dial_n neither_o do_v it_o stand_v over_o the_o 12_o a_o clock_n line_n but_o swerve_v from_o it_o towards_o the_o quarter_n of_o declination_n prob._n x._o to_o make_v a_o north_n erect_v dyal_n decline_v eastward_n or_o westward_n as_o in_o prob._n 5._o a_o erect_a direct_a north_n dyal_n have_v the_o same_o delineation_n that_o a_o erect_v direct_a south_n dyal_n have_v and_o differ_v only_o in_o the_o place_n the_o figure_n of_o the_o hour_n line_n so_o a_o north_n erect_v dyal_n that_o decline_v eastward_n or_o westward_n differ_v from_o a_o south_n erect_v dyal_n that_o decline_v eastward_n or_o westward_n the_o same_o number_n of_o degree_n only_o in_o place_v the_o hour_n line_n at_o the_o same_o distance_n on_o the_o contrary_a side_n of_o the_o plane_n and_o by_o transpose_v the_o figure_n of_o 11_o for_o 1_o 10_o for_o 2_o 9_o for_o 3._o etc._n etc._n thus_o if_o you_o draw_v upon_o glass_n horn_n or_o a_o oil_v paper_n the_o south_n dyal_n decline_a eastward_n as_o in_o the_o forego_n problem_n and_o place_n it_o to_o its_o due_a situation_n the_o back_n side_n of_o it_o shall_v be_v a_o north_n dyal_n decline_v towards_o the_o west_n so_o many_o degree_n as_o the_o foreside_n decline_v towards_o the_o east_n and_o the_o only_a difference_n in_o it_o will_v be_v the_o figure_n of_o the_o hour_n line_n as_o be_v say_v before_o prob._n xi_o to_o make_v direct_a recline_a or_o incline_v dial_n direct_v recline_a or_o incline_v dial_n be_v the_o same_o with_o erect_a direct_a dial_n that_n be_v make_v for_o the_o latitude_n of_o some_o other_o place_n the_o latitude_n of_o which_o place_n be_v either_o more_o than_o the_o latitude_n of_o your_o own_o place_n if_o the_o plane_n recline_v or_o less_o if_o the_o plane_n incline_v and_o that_o in_o such_o a_o proportion_n as_o the_o arch_n of_o reclination_n or_o inclination_n of_o your_o plane_n be_v thus_o a_o direct_a south_n dyal_n recline_v 10._o degree_n in_o london_n latitude_n viz._n 51½_n degree_n be_v a_o erect_a direct_v dyal_n make_v for_o the_o latitude_n of_o 61½_n degree_n and_o a_o direct_a south_n dyal_n incline_v 10._o degree_n in_o the_o latitude_n 51½_n degree_n be_v a_o erect_a direct_v dyal_n in_o the_o latitude_n of_o 41½_n degree_n and_o be_v to_o be_v make_v according_a to_o the_o direction_n in_o prob._n 4._o prob._n xii_o to_o make_v decline_a reclining_a or_o decline_a incline_v dial_n the_o distance_n of_o the_o hour_n line_n either_o for_o a_o decline_a recline_a plane_n or_o a_o decline_a incline_v plane_n may_v most_o easy_o be_v find_v upon_o the_o plane_n of_o the_o horizon_n that_o be_v as_o some_o author_n call_v it_o by_o the_o horizontal_n dyal_n by_o change_v the_o circle_n of_o the_o globe_n one_o into_o another_o so_o as_o the_o plane_n of_o the_o horizon_n may_v serve_v to_o represent_v the_o dyal_n plane_n yet_o this_o way_n not_o be_v natural_a because_o you_o must_v admit_v one_o circle_n to_o be_v another_o and_o that_o in_o young_a learner_n may_v sometime_o breed_v a_o little_a difficulty_n gemma_fw-la frisius_n metius_n and_o blaew_n have_v prescribe_v a_o thin_a brass_n plate_n to_o be_v make_v equal_a to_o a_o semicircle_n of_o the_o equinoctial_a and_o divide_v from_o the_o middle_a point_n of_o it_o either_o way_n into_o 90_o degree_n which_o may_v not_o unproper_o be_v call_v a_o gnomonical_a semicircle_n this_o semicircle_n must_v be_v bow_v close_o to_o the_o body_n of_o the_o globe_n into_o a_o semicircular_a form_n and_o so_o set_v to_o any_o reclination_n or_o inclination_n and_o then_o it_o will_v represent_v a_o recline_a or_o incline_v plane_n and_o by_o the_o motion_n of_o the_o colour_n through_o the_o several_a degree_n of_o this_o semicircle_n the_o distance_n of_o the_o hour_n line_n may_v be_v find_v thus_o the_o globe_n quadrant_n of_o altitude_n colour_n and_o hour_n index_n rectify_v as_o by_o prob._n 4._o bring_v the_o low_a end_n of_o the_o quadrant_n of_o altitude_n to_o the_o degree_n in_o the_o horizon_n of_o the_o plane_n declination_n if_o your_o plane_n be_v a_o south_n decline_a recliner_n and_o count_v on_o the_o quadrant_n of_o altitude_n from_o the_o zenith_n downward_o the_o number_n of_o degree_n of_o reclination_n or_o inclination_n and_o to_o that_o number_n of_o degree_n bring_v the_o middle_n of_o the_o gnomonical_a semicircle_n and_o let_v the_o end_n of_o ●t_a cut_v the_o horizon_n on_o either_o side_n in_o the_o degree_n of_o the_o plane_n azimuth_n so_o shall_v the_o gnomonical_a semicircle_n represent_v a_o recline_a plane_n and_o so_o oft_o as_o 15._o degree_n of_o the_o equator_fw-la pass_v through_o the_o meridian_n so_o oft_o shall_v you_o inquire_v what_o degree_n of_o the_o gnomonical_a semicircle_n the_o colour_n cut_v for_o so_o many_o degree_n asunder_o must_v the_o several_a respective_a hour_n line_n of_o a_o recline_a decline_a plane_n be_v in_o a_o semicircle_n divide_v into_o 180._o degree_n but_o if_o your_o plane_n be_v a_o south_n decline_a recliner_n or_o a_o north_n decline_a incliner_n bring_v 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 because_o the_o upper_a side_n of_o the_o plane_n lie_v beyond_o the_o zenith_n count_v from_o the_o south_n point_n in_o the_o south_n recliner_n and_o from_o the_o north_n point_n in_o north_n incliner_n then_o find_v the_o height_n of_o the_o style_n and_o place_n of_o the_o substyle_n thus_o keep_v your_o gnomonical_a semicircle_n in_o its_o position_n but_o turn_v the_o quadrant_n of_o altitude_n about_o on_o the_o zenith_n point_n till_o the_o low_a end_n of_o it_o come_v to_o the_o degree_n of_o the_o horizon_n opposite_a to_o the_o degree_n it_o be_v place_v at_o before_o and_o turn_v about_o the_o globe_n till_o the_o colour_n cut_v the_o quadrant_n of_o altitude_n above_o the_o horizon_n in_o the_o number_n of_o degree_n the_o plane_n recline_v from_o the_o zenith_n so_o shall_v the_o colour_n cut_v the_o gnomonical_a semicircle_n at_o right_a angle_n then_o count_v the_o degree_n contain_v between_o the_o middle_n of_o the_o gnomonical_a semicircle_n and_o the_o colour_n for_o that_o number_n of_o degree_n be_v the_o distance_n of_o the_o substyle_n from_o a_o perpendicular_a line_n in_o the_o middle_n of_o your_o plane_n and_o must_v be_v place_v westward_n of_o the_o say_v perpendicular_a if_o your_o plane_n decline_v from_o the_o south_n east-ward_n or_o eastward_n if_o your_o plane_n decline_v from_o the_o south_n westward_n then_o observe_v how_o many_o degree_n be_v contain_v between_o the_o semicircle_n and_o the_o pole_n for_o that_o number_n of_o 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quadrant_n of_o altitude_n count_v from_o the_o zenith_n downward_o towards_o the_o horizon_n and_o the_o end_n of_o the_o gnomonical_a semi_a circle_n to_o the_o degree_n of_o azimuth_n the_o plane_n lie_v in_o in_o the_o horizon_n viz._n to_o 30._o degree_n from_o the_o east_n point_v northwards_o and_o to_o 30._o degree_n from_o the_o west_n point_v southwards_o so_o shall_v 11._o degree_n 10._o minute_n of_o the_o gnomonical_a semi_a circle_n be_v comprehend_v between_o the_o quadrant_n of_o altitude_n and_o the_o brazen_a meridian_n these_o 11._o degree_n 10._o minute_n show_v that_o the_o 12_o a_o clock_n line_n be_v distant_a from_o the_o perpendicular_a a_o b_o 11._o degree_n 10._o minute_n and_o because_o the_o plane_n decline_v to_o the_o eastward_n therefore_o the_o 12_o a_o clock_n line_n must_v stand_v on_o the_o west_n side_n the_o plane_n 11._o degree_n 10_o

moon_n or_o star_n etc._n etc._n and_o for_o the_o find_v the_o azimuth_n and_o amplitude_n etc._n etc._n vi_o of_o the_o quadrant_n of_o altitude_n the_o quadrant_n of_o altitude_n be_v a_o thin_a brass_n plate_n divide_v into_o 90._o degree_n and_o mark_v upward_o with_o 10_o 20_o 30_o 40_o etc._n etc._n to_o 90._o it_o be_v rivet_v to_o a_o brass_n nut_n which_o be_v fit_v to_o the_o meridian_n and_o have_v a_o screw_n in_o it_o to_o screw_v upon_o any_o degree_n of_o the_o meridian_n when_o it_o be_v use_v it_o be_v screw_v to_o the_o zenith_n it_o be_v use_n be_v for_o measure_v the_o altitude_n find_v amplitude_n and_o azimuth_n and_o discribe_v almicantarath_n it_o will_v sometime_o stand_v you_o in_o good_a steed_n if_o the_o plate_n be_v long_o by_o the_o breadth_n of_o the_o horizon_n than_o 90._o degree_n for_o then_o that_o length_n be_v turn_v back_o will_v serve_v you_o instead_o of_o a_o index_n when_o the_o nut_n be_v screw_v to_o the_o zenith_n to_o cut_v either_o 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astrological_a house_n of_o heaven_n and_o also_o for_o find_v the_o circle_n of_o position_n of_o any_o star_n or_o point_n in_o heaven_n thus_o much_o may_v serve_v for_o the_o lineament_n circumjacent_a to_o the_o body_n of_o the_o globe_n the_o next_o discourse_n shall_v be_v chap._n ii_o of_o the_o circle_n line_n etc._n etc._n describe_v upon_o the_o superficies_n of_o the_o globe_n beginning_n with_o the_o terrestrial_a globe_n and_o i._o of_o the_o equator_fw-la the_o equator_fw-la be_v a_o great_a circle_n encompass_v the_o very_a middle_n of_o the_o globe_n between_o the_o two_o pole_n thereof_o and_o divide_v it_o into_o two_o equal_a part_n the_o one_o the_o north_n part_n and_o the_o other_o the_o south_n part_n it_o be_v as_o all_o great_a circle_n be_v divide_v into_o 360._o equal_a part_n which_o be_v call_v degree_n upon_o this_o circle_n the_o longitude_n be_v number_v from_o east_n to_o west_n and_o from_o this_o circle_n both_o way_n viz._n north_n and_o south_n the_o latitude_n be_v reckon_v it_o be_v call_v the_o equator_fw-la because_o when_o the_o sun_n come_v to_o this_o line_n which_o be_v twice_o in_o one_o year_n to_o wit_n on_o the_o ten_o of_o march_n and_o the_o eleven_o of_o june_n the_o day_n and_o night_n be_v equate_v and_o both_o of_o one_o length_n ii_o of_o the_o meridian_n there_o be_v infinite_a of_o meridian_n for_o all_o place_n lie_v east_n or_o west_n from_o one_o another_o have_v several_a meridian_n but_o the_o meridian_n delineate_v upon_o the_o terrestrial_a globe_n be_v in_o number_n 36._o so_o that_o between_o two_o meridian_n be_v contain_v ten_o degree_n of_o the_o equator_fw-la from_o the_o first_o of_o these_o meridian_n which_o be_v divide_v into_o twice_o 90_o degree_n account_v from_o the_o equator_fw-la towards_o either_o pole_n be_v the_o begin_n of_o longitude_n which_o upon_o our_o english_a globe_n be_v at_o the_o isle_n gratiosa_fw-la one_o of_o the_o isle_n of_o the_o azore_n and_o number_v in_o the_o equator_fw-la eastward_n with_o 10_o 20_o 30_o etc._n etc._n to_o 360._o round_n about_o the_o globe_n till_o it_o end_v where_o it_o begin_v they_o be_v call_v meridian_n because_o they_o divide_v the_o day_n into_o two_o equal_a part_n for_o when_o the_o sun_n come_v to_o the_o meridian_n of_o any_o place_n it_o be_v then_o midday_n or_o full_a noon_n iii_o of_o the_o parallel_n as_o the_o meridian_n be_v infinite_a so_o be_v the_o parallel_n and_o as_o the_o meridian_n line_n delineate_v upon_o the_o globe_n be_v draw_v through_o no_o more_o than_o every_o ten_o degree_n of_o the_o equator_fw-la so_o be_v the_o parallel_n also_o delineate_v but_o upon_o every_o ten_o degree_n of_o the_o meridian_n lest_o the_o globe_n shall_v be_v too_o much_o fill_v with_o superfluity_n of_o line_n which_o may_v obscure_v the_o small_a name_n of_o place_n the_o parallel_n circle_n run_v east_n and_o west_n round_o about_o the_o globe_n even_o as_o the_o equator_fw-la only_a the_o 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they_o loose_v themselves_o they_o represent_v the_o 32_o wind_n of_o the_o compass_n their_o use_n be_v to_o show_v the_o bear_n of_o any_o two_o place_n one_o from_o another_o that_o be_v to_o say_v upon_o what_o point_n of_o the_o compass_n any_o shore_n or_o land_n lie_v from_o another_o there_o be_v many_o of_o they_o describe_v upon_o the_o globe_n for_o the_o better_a direct_v the_o eye_n from_o one_o shore_n to_o the_o other_o when_o you_o seek_v after_o the_o bear_n of_o any_o two_o land_n some_o of_o they_o where_o there_o be_v room_n for_o it_o have_v the_o figure_n of_o the_o nautical_a card_n draw_v about_o the_o centre_n or_o common_a intersection_n and_o have_v as_o all_o other_o card_n have_v for_o the_o distinction_n of_o the_o north_n point_n a_o flowerdeluce_n picture_v thereon_o they_o be_v first_o call_v rumb_n by_o the_o portugal_n and_o since_o use_v by_o latin_a author_n and_o therefore_o that_o name_n be_v continue_v by_o all_o writer_n that_o have_v occasion_n to_o speak_v of_o they_o vi_o of_o the_o land_n sea_n land_n etc._n etc._n describe_v upon_o the_o terrestrial_a globe_n the_o land_n describe_v upon_o the_o globe_n be_v bound_v with_o a_o irregular_a line_n which_o run_v turn_v and_o wind_v into_o creek_n and_o angle_n even_o as_o the_o shore_n which_o it_o represent_v do_v for_o the_o better_a distinction_n of_o land_n &c_n &c_n this_o line_n be_v culler_v close_o by_o one_o side_n thereof_o with_o divers_a colour_n as_o with_o red_a yellow_a green_a etc._n etc._n these_o colour_n distinguish_v one_o part_n of_o the_o continent_n from_o the_o other_o and_o also_o one_o island_n from_o another_o that_o side_n of_o the_o line_n which_o incompass_n the_o colour_n be_v the_o bound_n of_o the_o land_n the_o other_o side_n of_o the_o line_n which_o be_v

contingence_n elevate_v to_o the_o height_n of_o the_o equinoctial_a draw_v line_n from_o the_o centre_n through_o every_o 15_o degree_n of_o the_o circle_n of_o position_n and_o by_o continue_v they_o intersect_v the_o line_n of_o contingence_n in_o the_o point_n from_o whence_o the_o hour_n line_n of_o a_o east_n or_o west_n dyal_n be_v to_o be_v draw_v example_n but_o because_o in_o our_o latitude_n the_o sun_n rise_v before_o 4._o in_o the_o morning_n therefore_o two_o hour-line_n be_v yet_o want_v viz._n 5_o and_o 4_o which_o i_o may_v find_v either_o by_o apply_v the_o thread_n first_o to_o 15_o and_o next_o to_o 30_o degree_n from_o 0_o towards_o g_o in_o the_o semicircle_n and_o so_o mark_v where_o it_o cut_v the_o contingent_a line_n as_o before_o or_o else_o by_o transfer_v the_o distance_n of_o the_o same_o number_n of_o hour_n line_n from_o the_o 6_o a_o clock_n line_n already_o draw_v on_o the_o side_n e_o 〈◊〉_d to_o the_o side_n e_o g_o as_o in_o prob._n 2._o of_o this_o book_n be_v more_o full_o show_v have_v thus_o mark_v out_o on_o the_o contingent_a line_n the_o distance_n of_o each_o hour_n i_o draw_v a_o line_n parallel_n to_o the_o contingent_a line_n and_o draw_v line_n from_o every_o hour_n mark_v on_o the_o contingent_a to_o cross_v the_o contingent_a line_n at_o right_a angle_n and_o continue_v each_o line_n to_o the_o line_n parallel_n to_o the_o contingent_a and_o these_o line_n shall_v be_v the_o hour_n line_n of_o a_o east_n plane_n to_o these_o hour-line_n i_o set_v figure_n as_o in_o the_o scheam_n may_v be_v see_v the_o style_n d_o k_o of_o this_o dyal_n as_o well_o as_o of_o other_o must_v stand_v parallel_n to_o the_o axis_n of_o the_o world_n it_o must_v be_v also_o parallel_v to_o all_o the_o hour_n line_n and_o stand_v direct_o over_o the_o 6_o a_o clock_n line_n and_o that_o so_o high_a as_o be_v the_o distance_n between_o the_o centre_n of_o the_o semicircle_n of_o position_n and_o the_o point_n where_o the_o 6_o a_o clock_n line_n cut_v the_o contingent_a line_n or_o which_o be_v all_o one_o at_o such_o a_o height_n as_o when_o it_o be_v lay_v flat_o down_o upon_o the_o plane_n it_o may_v just_o reach_v the_o 3_o a_o clock_n line_n prob._n vii_o to_o make_v a_o erect_a direct_a west_n dyal_n a_o erect_a direct_a west_n dyal_n be_v the_o same_o in_o all_o respect_n with_o a_o erect_a direct_a east_n dyal_n only_o as_o the_o east_n show_v the_o forenoon_n hour_n the_o west_n show_v the_o afternoon_n hour_n thus_o if_o you_o shall_v draw_v the_o east_n dyal_n on_o any_o transparent_a plane_n as_o on_o glass_n horn_n or_o a_o oil_v paper_n on_o the_o one_o side_n will_v appear_v a_o east_n dyal_n and_o on_o the_o other_o a_o west_n only_o the_o figure_n as_o be_v say_v before_o must_v be_v change_v for_o that_o which_o in_o the_o east_n dyal_n be_v 11_o in_o the_o west_n must_v be_v 1_o that_o which_o in_o the_o east_n dyal_n be_v 10_o in_o the_o west_n must_v be_v 2_o that_o which_o in_o the_o east_n dyal_n be_v 9_o in_o the_o west_n must_v be_v 3._o etc._n etc._n prob._n viii_o to_o make_v a_o polar_a dyal_n polar_a dial_n be_v horizontal_n dial_n under_o the_o equinoctial_a they_o be_v of_o the_o same_o kind_n with_o east_n and_o west_n dial_n only_o whereas_o east_n and_o west_n dial_n have_v but_o the_o hour_n line_n of_o half_a the_o long_a day_n describe_v on_o they_o these_o have_v all_o the_o hour_n line_n of_o the_o whole_a day_n and_o be_v mark_v on_o both_o side_n the_o noon_n line_n as_o in_o the_o follow_a figure_n the_o style_n of_o this_o dyal_n must_v stand_v over_o the_o noon_n line_n parallel_n to_o the_o plane_n for_o than_o it_o will_v also_o be_v parallel_n to_o the_o axis_n of_o the_o world_n and_o its_o height_n above_o the_o plane_n must_v be_v the_o distance_n between_o the_o centre_n i_o of_o the_o semicircle_n and_o the_o point_n in_o the_o contingent_a line_n cut_v by_o the_o noon-line_n but_o i_o have_v insert_v the_o figure_n which_o alone_o be_v sufficient_a instruction_n prob._n ix_o to_o make_v erect_a south_n dial_n decline_a eastward_n or_o westward_n draw_v on_o your_o plane_n a_o horizontal_n line_n and_o on_o it_o describe_v a_o semicircle_n as_o you_o be_v teach_v in_o prob_n 4._o then_o rectify_v the_o globe_n quadrant_n of_o altitude_n colour_n and_o hour_n index_n as_o by_o the_o same_o problem_n and_o bring_v the_o low_a end_n of_o the_o quadrant_n of_o altitude_n to_o the_o degree_n of_o declination_n from_o the_o east_n or_o west_n point_n according_a be_v your_o declination_n be_v eastward_n or_o westward_n for_o then_o the_o quadrant_n of_o altitude_n shall_v represent_v a_o plane_n decline_v from_o the_o south_n eastward_n or_o westward_n according_o then_o tu●n_v the_o globe_n eastward_n till_o the_o index_n of_o the_o hour-circle_n point_v to_o all_o the_o hour_n before_o noon_n and_o examine_v in_o what_o number_n of_o degree_n from_o the_o zenith_n the_o colour_n cut_v the_o quadrant_n of_o altitude_n when_o the_o index_n point_v to_o each_o hour_n for_o a_o line_n draw_v from_o the_o centre_n a_o through_o the_o same_o number_n of_o degree_n reckon_v from_o the_o perpendicular_a a_o b_o which_o be_v the_o 12_o a_o clock_n line_n towards_o con_n the_o plane_n shall_v be_v the_o same_o hour-line_n the_o index_n point_v at_o example_n i_o will_v make_v a_o erect_a dyal_n decline_v from_o the_o south_n towards_o the_o east_n 27._o degree_n the_o globe_n quadrant_n of_o altitude_n vernal_a colour_n and_o hour_n index_n rectify_v as_o before_o i_o bring_v the_o low_a end_n of_o the_o quadrant_n of_o altitude_n to_o 27._o degree_n count_v from_o the_o east_n point_n of_o the_o horizon_n towards_o the_o north_n then_o i_o turn_v the_o globe_n east-ward_n till_o the_o index_n point_v to_o 11_o a_o clock_n or_o till_o 15._o deg_n of_o the_o equator_fw-la pass_v through_o the_o meridian_n and_o find_v the_o colour_n cut_v the_o quadrant_n of_o altitude_n in_o 9.43_o count_v from_o the_o zenith_n 10_o 19.0_o 9_o 25.57_o 8_o 35.10_o 7_o 45.56_o 6_o 60.15_o 5_o 79.45_o and_o these_o be_v the_o distance_n of_o the_o forenoon_n hour-line_n which_o i_o seek_v in_o the_o west_n side_n of_o the_o plane_n viz._n from_o b_o towards_z c_z and_o through_o these_o distance_n i_o draw_v line_n from_o the_o centre_n and_o these_o line_n shall_v be_v the_o forenoon_n hour-line_n now_o herein_o be_v a_o difference_n between_o decline_a dial_n and_o direct_v dial_n for_o have_v find_v the_o distance_n of_o the_o hour_n line_n for_o one_o half_a of_o the_o day_n be_v it_o either_o for_o before_o noon_n or_o after_o noon_n in_o a_o direct_a dyal_n you_o have_v also_o find_v the_o distance_n for_o the_o other_o half_a day_n because_o as_o be_v say_v prob._n 3._o equal_a number_n of_o hour_n have_v equal_a distance_n from_o the_o noon_n line_n but_o in_o decline_a dial_n it_n be_v not_o so_o because_o the_o sun_n remain_v long_o upon_o that_o side_n of_o the_o plane_n which_o it_o decline_v to_o than_o it_o do_v upon_o the_o contrary_a side_n there_o will_v be_v a_o great_a number_n of_o hour_n line_n upon_o it_o and_o by_o consequence_n the_o distance_n of_o the_o hour_n line_n less_o than_o on_o the_o contrary_a side_n of_o the_o plane_n therefore_o for_o find_v the_o after_o noon_n hour_n line_n i_o turn_v about_o the_o quadrant_n of_o altitude_n upon_o the_o zenith_n point_n till_o the_o low_a end_n of_o it_o come_v to_o the_o degree_n of_o the_o horizon_n opposite_a to_o that_o degree_n of_o declination_n that_o the_o quadrant_n of_o altitude_n be_v place_v at_o when_o i_o seek_v the_o before_o noon_n hour_n line_n viz_o to_o 27._o degree_n count_v ●om_n the_o west_n towards_o the_o south_n and_o bring_v the_o ver●al_a colour_n again_o to_o the_o meridian_n and_o the_o index_n as_o before_o to_o 12._o then_o turn_v the_o globe_n westward_n till_o the_o index_n point_v to_o 1_o a_o clock_n or_o till_o 15_o degr_n of_o the_o equator_fw-la pass_v through_o the_o meridian_n i_o find_v the_o colour_n cut_v the_o quadrant_n of_o altitude_n in_o 11.20_o count_v from_o the_o zenith_n 2_o 26.47_o 3_o 49.20_o 4_o 75.52_o and_o these_o be_v the_o distance_n of_o the_o after_o noon_n hour_n line_n which_o dista●●●●_n i_o seek_v in_o the_o east_n side_n of_o the_o plane_n viz._n from_o b_o towards_z d_o as_o before_o and_o so_o draw_v line_n from_o the_o centre_n a_o through_o these_o distance_n i_o have_v all_o the_o afternoon_n hour_n line_n also_o draw_v on_o my_o plane_n you_o may_v note_v that_o this_o plane_n be_v capable_a to_o receive_v no_o more_o hour_n line_n after_o noon_n then_o 4._o for_o when_o the_o colour_n go_v off_o the_o quadrant_n of_o altitude_n the_o sun_n go_v

minute_n then_o to_o find_v all_o the_o before_o noon_n hour_n line_n i_o turn_v the_o globe_n east-ward_n till_o the_o index_n point_v to_o 11_o a_o clock_n or_o till_o 15_o degr_n of_o the_o equator_fw-la pass_v through_o the_o meridian_n and_o find_v the_o colour_n cut_v the_o gnomonical_a semicircle_n in_o 15._o 8_o count_v from_o the_o middle_n of_o the_o gnomonical_a semi_a circle_n 10_o 18._o 56_o 9_o 22._o 37_o 8_o 26._o 52_o 7_o 32._o 37_o 6_o 42._o 5_o 5_o 62._o 43_o and_o these_o be_v the_o distance_n of_o the_o before_o noon_n hour_n line_n to_o which_o distance_n you_o may_v set_v prick_n on_o the_o west_n side_n the_o semi_a circle_n of_o the_o plane_n viz._n from_o b_o to_o c._n the_o after_o noon_n hour_n line_n be_v find_v by_o bring_v the_o colour_n again_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 for_o then_o turn_v the_o globe_n westwa●s_v till_o the_o index_n point_v to_o 1_o a_o clock_n or_o till_o 15_o degr_n of_o the_o equator_fw-la pass_v throug_n the_o meridian_n i_o find_v the_o colour_n cut_v the_o gnomon_n semicircle_n in_o 5._o 45_o count_v from_o the_o middle_n of_o the_o gnomon_n semicircle_n 2_o 2._o 54_o 3_o 20._o 52_o 4_o 64._o 36_o have_v draw_v the_o hour-line_n i_o remove_v 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 it_o be_v at_o before_o viz._n to_o 30._o degree_n from_o the_o south_n westward_n which_o be_v so_o much_o as_o the_o plane_n decline_v eastward_n but_o i_o let_v the_o gnomonical_a semi_a circle_n stand_v as_o it_o do_v and_o turn_v about_o the_o globe_n till_o the_o colour_n cut_v the_o quadrant_n of_o altitude_n in_o 20._o degree_n count_v from_o the_o horizon_n upward_o viz._n the_o degree_n of_o reclination_n i_o find_v 18._o degree_n 40._o minute_n contain_v between_o the_o middle_n of_o the_o gnomonical_a semi_a circle_n and_o the_o brazen_a meridian_n which_o be_v the_o distance_n of_o the_o substyle_n from_o the_o perpendicular_a and_o i_o find_v the_o gnomonical_a semi_a circle_n cut_v the_o colour_n in_o 13._o degree_n 49._o minute_n from_o the_o pole_n which_o be_v the_o height_n that_o the_o style_n must_v be_v raise_v over_o the_o substyle_n therefore_o i_o prick_v off_o in_o the_o semi_a circle_n on_o the_o plane_n the_o distance_n of_o the_o substyle_n 18._o degree_n 40._o minute_n from_o the_o perpendicular_a westward_n because_o this_o plane_n decline_v eastward_n and_o from_o the_o centre_n a_o i_o draw_v through_o that_o prick_n the_o line_n a_o e_o which_o shall_v be_v the_o substyle_n and_o from_o this_o substyle_n either_o way_n i_o count_v in_o the_o semi_a circle_n on_o the_o plane_n 13_o degree_n 49._o minute_n and_o there_o make_v a_o prick_n then_o from_o the_o centre_n a_o i_o draw_v through_o that_o prick_v the_o line_n a_o f_o to_o represent_v the_o style_n or_o gnomon_n then_o i_o let_v fall_v the_o perpendicule_a f_o g_z upon_o the_o substyle_n a_o g_o so_o be_v a_o triangle_n make_v which_o if_o it_o be_v erect_v perpendicular_o upon_o the_o substyle_n a_o g_o the_o style_n a_o f_o shall_v be_v parallel_n to_o the_o axis_n of_o the_o world_n and_o cast_v a_o shadow_n upon_o the_o hour_n of_o the_o day_n have_v make_v this_o dyal_n you_o have_v make_v four_o several_a dial_n whereof_o this_o be_v one_o and_o his_o opposite_a viz._n north_n decline_a westward_n 30._o degree_n incline_v to_o the_o horizon_n 70._o degree_n be_v another_o the_o south_n decline_a westward_n 30._o degree_n recline_v from_o the_o zenith_n 20._o degree_n be_v another_o and_o his_o opposite_a viz._n north_n decline_a eastward_n 30._o degree_n incline_v to_o the_o horizon_n 70._o degree_n be_v the_o other_o prob._n xiii_o to_o make_v a_o dyal_n upon_o a_o decline_a incline_v plane_n the_o precept_n for_o make_v these_o dial_n be_v deliver_v in_o the_o forego_n problem_n therefore_o we_o shall_v at_o first_o come_v to_o a_o example_n i_o will_v make_v a_o dyal_n upon_o a_o plane_n in_o london_n latitude_n decline_a from_o the_o south_n westward_n 25._o degree_n and_o incline_v towards_o the_o horizon_n by_o the_o space_n of_o a_o arch_n contain_v 14._o degree_n have_v first_o describe_v on_o the_o plane_n a_o semi_a circle_n as_o be_v direct_v prob._n 4._o i_o rectify_v the_o globe_n quadrant_n of_o altitude_n colour_n and_o hour_n index_n as_o by_o the_o same_o problem_n and_o bring_v the_o low_a end_n of_o the_o quadrant_n of_o altitude_n to_o the_o degree_n of_o the_o plane_n declination_n viz._n to_o 25._o degree_n count_v from_o the_o south_n westward_n and_o the_o end_n of_o the_o gnomonical_a semi_a circle_n to_o the_o degree_n of_o azimuth_n the_o plane_n lie_v in_o viz._n to_o 25._o degree_n from_o the_o west_n northwards_o and_o the_o middle_n of_o the_o gnomonical_a semi_a circle_n to_o the_o degree_n of_o the_o plane_n inclination_n viz._n 14._o degree_n count_v from_o the_o zenith_n downward_o on_o the_o quadrant_n of_o altitude_n then_o count_v the_o degree_n of_o the_o gnomonical_a semi_a circle_n contain_v between_o the_o middle_n of_o the_o same_o and_o the_o brazen_a meridian_n i_o find_v 5._o degree_n 30._o minute_n these_o 5._o degree_n 30._o minute_n show_v the_o distance_n of_o the_o 12_o a_o clock_n line_n from_o the_o perpendicular_a therefore_o i_o number_n in_o the_o semi_a circle_n describe_v on_o the_o plane_n from_o the_o perpendicular_a westward_n because_o the_o middle_n of_o the_o gnomonical_a semi_a circle_n lie_v westward_n on_o the_o globe_n from_o the_o meridian_n and_o for_o find_v all_o the_o forenoon_n hour-distance_n i_o turn_v the_o globe_n east-ward_n till_o the_o index_n point_v to_o 11_o a_o clock_n or_o till_o 15_o degr_n of_o the_o equa_fw-la pass_v throug_n the_o meridian_n and_o find_v the_o colour_n cut_v the_o gnomon_n semicircle_n in_o 20._o 5_o count_v from_o the_o middle_n of_o the_o gnomon_n semicircle_n 10_o 36._o 57_o 9_o 56._o 24_o 8_o 76._o 31_o and_o these_o be_v the_o distance_n of_o all_o the_o before_o noon_n hour_n line_n to_o which_o several_a distance_n i_o make_v prick_n on_o the_o west_n side_n the_o semi_a circle_n on_o the_o plane_n viz._n from_o b_o to_o c._n the_o after_o noon_n hour_n line_n be_v find_v by_o bring_v the_o colour_n again_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 for_o then_o turn_v the_o globe_n westward_n till_o the_o index_n point_v to_o 1_o a_o clock_n or_o till_o 15._o degree_n of_o the_o equator_fw-la pass_v through_o the_o meridian_n i_o find_v the_o colour_n cut_v the_o gnomonical_a semicircle_n in_o 6._o 20_o count_v from_o the_o middle_n of_o the_o gnomonical_a semi_a circle_n 2_o 18._o 2_o 3_o 28._o 45_o 4_o 39_o 56_o 5_o 52._o 30_o 6_o 67._o 19_o 7_o 84._o 13_o and_o these_o be_v the_o distance_n of_o the_o after_o noon_n hour_n line_n which_o i_o also_o prick_v down_o at_o their_o respective_a distance_n from_o the_o perpendicular_a eastward_n viz._n from_o b_o towards_z d_o on_o the_o plane_n and_o by_o draw_v line_n from_o the_o centre_n a_o through_o all_o the_o prick_n i_o have_v all_o the_o hour_n line_n that_o this_o plane_n will_v admit_v of_o have_v make_v this_o dyal_n you_o have_v also_o four_o dial_n made_n as_o well_o as_o in_o the_o former_a problem_n for_o this_o be_v one_o and_o its_o opposite_a viz._n north_n decline_v eastward_n 25._o degree_n recline_v 76._o degree_n be_v another_o the_o south_n decline_v eastward_n 25._o degree_n incline_v 14_o degree_n be_v another_o and_o its_o opposite_a viz._n north_n decline_v westward_n 25._o degree_n recline_v 76._o degree_n be_v another_o prob._n fourteen_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 it_o be_v say_v in_o the_o preface_n that_o all_o manner_n of_o planes_n however_o situate_a be_v parallel_v to_o some_o country_n or_o other_o on_o the_o earth_n therefore_o all_o manner_n of_o planes_n be_v indeed_o horizontal_n planes_n and_o the_o distance_n of_o the_o hour_n line_n to_o be_v ●●scribed_v on_o they_o may_v be_v find_v as_o the_o distance_n of_o the_o hour_n line_n of_o the_o horizontal_n dyal_n in_o prob._n 3._o it_o rest_v now_o to_o learn_v in_o what_o place_n of_o the_o earth_n any_o plane_n that_o be_v not_o horizontal_n in_o your_o habitation_n shall_v become_v horizontal_n and_o for_o help_v of_o your_o understanding_n herein_o take_v these_o follow_a rule_n 1._o if_o your_o plane_n be_v erect_a direct_a north_n or_o south_n it_o shall_v be_v a_o horizontal_n in_o the_o same_o longitude_n at_o 90._o degree_n distance_n on_o the_o meridian_n count_v from_o the_o zenith_n of_o your_o place_n through_o the_o equinoctial_a see_v a_o example_n of_o this_o

the_o equinoctial_a under_o the_o meridian_n of_o your_o place_n have_v a_o continual_a sun-dyal_n of_o it_o and_o the_o hour_n of_o the_o day_n give_v on_o it_o at_o once_o in_o two_o place_n one_o by_o the_o part_a the_o enlighten_v hemisphere_n from_o the_o shadow_a on_o the_o eastern_a side_n the_o other_o by_o the_o part_a the_o enlighten_v hemisphere_n from_o the_o shadow_a on_o the_o western_a side_n the_o globe_n much_o more_o may_v be_v say_v on_o this_o problem_n but_o the_o ingenuous_a artist_n may_v of_o himself_o find_v out_o diversity_n of_o speculation_n therefore_o i_o forbear_v prob._n xlvi_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 sun_n be_v this_o may_v be_v perform_v by_o the_o former_a problem_n in_o the_o day_n time_n if_o the_o sun_n shine_v but_o not_o else_o but_o to_o find_v it_o at_o all_o time_n do_v thus_o bring_v the_o place_n of_o your_o habitation_n to_o the_o meridian_n and_o the_o index_n of_o the_o hour-circle_n to_o 12_o then_o turn_v the_o globe_n eastward_n if_o afternoon_n or_o westward_n if_o before_o noon_n till_o the_o index_n of_o the_o hour-circle_n pass_v by_o so_o many_o hour_n from_o 12._o as_o your_o time_n give_v be_v either_o before_o or_o afternoon_n so_o shall_v the_o sun_n be_v in_o the_o zenith_n of_o that_o place_n where_o the_o meridian_n intersect_v the_o parallel_n of_o the_o sun_n declination_n for_o that_o day_n example_n may_v 10_o at_o ¾_n of_o a_o hour_n past_o 4._o a_o clock_n after_o noon_n i_o will_v know_v in_o what_o place_n of_o the_o earth_n the_o sun_n be_v in_o the_o zenith_n my_o habitation_n be_v london_n therefore_o i_o bring_v london_n to_o the_o meridian_n and_o the_o index_n of_o the_o hour-circle_n to_o 12._o and_o because_o it_o be_v after_o noon_n i_o turn_v the_o globe_n eastward_n till_o the_o index_n pass_v through_o 4_o hour_n and_o 3_o quarter_n or_o which_o be_v all_o one_o till_o 70_o degree_n 15_o minute_n of_o the_o equator_fw-la pass_v through_o the_o meridian_n then_o i_o find_v by_o prob._n 5._o the_o sun_n declination_n be_v 20._o degree_n 5._o minute_n which_o i_o find_v upon_o the_o meridian_n and_o in_o that_o place_n just_a under_o that_o degree_n and_o minute_n on_o the_o globe_n the_o sun_n be_v in_o the_o zenith_n which_o in_o this_o example_n be_v in_o the_o north_n east_n cape_n of_o hispaniola_n have_v thus_o find_v in_o what_o place_n of_o the_o earth_n the_o sun_n be_v in_o the_o zenith_n bring_v that_o place_n to_o the_o meridian_n and_o elevate_v its_o respective_a pole_n according_a to_o its_o respective_a elevation_n so_o shall_v all_o place_n cut_v by_o the_o horizon_n have_v the_o sun_n in_o their_o horizon_n those_o to_o the_o eastward_n shall_v have_v the_o sun_n set_v those_o to_o the_o westward_n shall_v have_v it_o rise_v in_o their_o horizon_n those_o at_o the_o intersection_n of_o the_o meridian_n and_o horizon_n under_o the_o elevate_v pole_n have_v the_o sun_n in_o their_o horizon_n at_o low_a but_o rise_v those_o at_o the_o intersection_n of_o the_o meridian_n and_o horizon_n under_o the_o depress_v pole_n have_v the_o sun_n in_o their_o horizon_n at_o high_a but_o set_v thus_o in_o those_o country_n that_o be_v above_o the_o horizon_n it_o be_v daylight_n and_o in_o those_o but_o 18_o degree_n below_o the_o horizon_n it_o be_v twilight_n but_o in_o those_o country_n further_a below_o the_o horizon_n it_o be_v at_o that_o time_n dark_a night_n and_o those_o country_n within_o the_o parallel_n of_o the_o same_o number_n of_o degree_n from_o the_o elevate_v pole_n that_o the_o sun_n declination_n be_v from_o the_o equinoctial_a have_v the_o sun_n always_o above_o the_o horizon_n till_o the_o sun_n have_v less_o respective_a declination_n than_o the_o elevate_v pole_n and_o those_o within_o the_o same_o parallel_n of_o the_o depress_v pole_n have_v the_o sun_n always_o below_o their_o horizon_n till_o the_o sun_n incline_v more_o towards_o the_o depress_v pole_n as_o you_o may_v see_v by_o turn_v about_o the_o globe_n for_o in_o this_o position_n that_o portion_n of_o the_o globe_n intercept_v between_o the_o elevate_v pole_n and_o the_o parallel_n circle_n of_o 20._o degree_n 5._o minute_n from_o the_o pole_n do_v not_o descend_v below_o the_o horizon_n neither_o do_v that_o portion_n of_o the_o globe_n intercept_v between_o the_o depress_v pole_n and_o the_o parallel_n circle_n within_o 20._o degree_n 5._o minute_n of_o that_o pole_n ascend_v above_o the_o horizon_n prob._n xlvii_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 found_a by_o the_o former_a problem_n in_o what_o place_n of_o the_o earth_n the_o sun_n be_v in_o the_o zenith_n and_o bring_v that_o place_n on_o the_o globe_n to_o the_o zenith_n and_o on_o the_o meridian_n there_o screw_v the_o quadrant_n of_o altitude_n and_o turn_v it_o about_o the_o horizon_n describe_v degree_n of_o almicantars_n thereby_o as_o by_o prob._n 23._o and_o all_o those_o country_n in_o any_o almicantar_n on_o the_o globe_n shall_v have_v the_o sun_n elevate_v the_o same_o number_n of_o degree_n above_o their_o horizon_n thus_o those_o country_n in_o the_o ten_o almicantar_n shall_v have_v the_o sun_n elevate_v 10._o degree_n above_o their_o horizon_n those_o in_o the_o 20_o the_o almicantar_n shall_v have_v the_o sun_n elevate_v 20_o degree_n above_o their_o horizon_n those_o in_o the_o 30_o the_o 30._o degree_n etc._n etc._n so_o that_o you_o may_v see_v when_o the_o sun_n be_v in_o the_o zenith_n of_o any_o place_n all_o the_o country_n or_o city_n in_o any_o almicantar_n have_v the_o sun_n in_o one_o height_n at_o the_o same_o time_n above_o their_o horizon_n but_o to_o find_v in_o what_o different_a place_n the_o sun_n have_v the_o same_o height_n at_o the_o same_o time_n as_o well_o before_o or_o after_o noon_n as_o at_o full_a noon_n and_o that_o in_o country_n that_o have_v great_a latitude_n than_o the_o sun_n great_a declination_n and_o therefore_o can_v have_v the_o sun_n in_o their_o zenith_n require_v another_o operation_n therefore_o elevate_v its_o respective_a pole_n according_a to_o your_o respective_a latitude_n and_o let_v the_o degree_n of_o the_o brazen_a meridian_n which_o be_v in_o the_o zenith_n represent_v your_o habitation_n and_o the_o degree_n of_o the_o ecliptic_a the_o sun_n be_v in_o represent_v the_o sun_n then_o bring_v the_o sun_n to_o the_o meridian_n and_o the_o index_n of_o the_o hour-circle_n to_o 12_o and_o turn_v the_o globe_n eastward_n if_o before_o noon_n or_o westward_n if_o after_o noon_n till_o the_o index_n point_n to_o the_o hour_n of_o the_o day_n then_o place_v the_o low_a end_n of_o the_o quadrant_n of_o altitude_n to_o the_o east_n point_n of_o the_o horizon_n and_o move_v the_o upper_a end_n by_o slide_v the_o nut_n over_o the_o meridian_n till_o the_o edge_n of_o the_o quadrant_n touch_v the_o place_n of_o the_o sun_n then_o see_v at_o what_o degree_n of_o the_o meridian_n the_o upper_a end_n of_o the_o quadrant_n of_o altitude_n touch_v the_o meridian_n and_o subtract_v that_o number_n of_o degree_n from_o the_o latitude_n of_o your_o place_n and_o count_v the_o number_n of_o remain_a degree_n on_o the_o meridian_n on_o the_o contrary_a side_n the_o degree_n of_o the_o meridian_n where_o the_o upper_a end_n of_o the_o quadrant_n of_o altitude_n touch_v the_o meridian_n and_o where_o that_o number_n of_o degree_n end_n on_o the_o meridian_n in_o that_o latitude_n and_o your_o habitation_n longitude_n have_v the_o sun_n the_o same_o height_n at_o the_o same_o time_n example_n may_v 10._o at_o 53._o minute_n past_o 8._o a_o clock_n in_o the_o morning_n i_o will_v know_v in_o what_o place_n the_o sun_n shall_v have_v the_o same_o altitude_n it_o shall_v have_v at_o london_n london_n latitude_n find_v by_o prob._n 1._o be_v 51½_n degree_n northwards_o and_o because_o the_o elevation_n of_o the_o pole_n be_v equal_a to_o the_o latitude_n of_o the_o place_n as_o be_v show_v prob._n 15._o therefore_o i_o elevate_v the_o north_n pole_n 51½_n degree_n so_o shall_v 51½_n degree_n on_o the_o meridian_n be_v in_o the_o zenith_n this_o 51½_n degree_n on_o the_o meridian_n represent_v london_n the_o sun_n place_v find_v by_o prob._n 3._o be_v ♉_o 29._o therefore_o i_o bring_v ♉_o 29_o to_o the_o meridian_n and_o the_o hour_n index_n to_o 12._o on_o the_o hour_n circle_n then_o i_o turn_v the_o globe_n eastward_n because_o it_o be_v before_o noon_n till_o the_o index_n point_n at_o 8._o hour_n 53_o minute_n on_o the_o hour-circle_n and_o place_v the_o low_a end_n of_o the_o quadrant_n of_o altitude_n to_o the_o east_n point_n in_o the_o horizon_n and_o slide_v the_o upper_a end_n either_o north_n or_o southwards_o

on_o the_o meridian_n till_o the_o graduated_a edge_n cut_v the_o degree_n of_o the_o ecliptic_a the_o sun_n be_v in_o then_o i_o examine_v on_o the_o meridian_n what_o degree_n the_o upper_a end_n of_o the_o quadrant_n of_o altitude_n touch_v which_o in_o this_o example_n i_o find_v be_v 38½_n degree_n therefore_o i_o subtract_v 38½_n from_o 51½_n london_n latitude_n and_o there_o remain_v 13._o then_o count_v on_o the_o meridian_n 13._o degree_n backward_o from_o the_o place_n where_o the_o quadrant_n of_o altitude_n touch_v the_o meridian_n i_o come_v to_o 25½_n on_o the_o meridian_n northwards_o therefore_o i_o say_v in_o the_o north_n latitude_n of_o 25½_n degree_n and_o in_o the_o longitude_n of_o london_n which_o be_v in_o africa_n in_o the_o kingdom_n of_o numidia_n the_o sun_n may_v 10._o at_o 53._o minute_n past_o 8._o a_o clock_n in_o the_o morning_n have_v the_o same_o altitude_n above_o the_o horizon_n it_o have_v here_o at_o london_n the_o quadrant_n of_o altitude_n thus_o apply_v to_o the_o east_n point_n of_o the_o horizon_n make_v right_a angle_n with_o all_o point_n on_o the_o meridian_n even_o as_o all_o the_o meridian_n proceed_v from_o the_o pole_n do_v with_o the_o equator_fw-la therefore_o the_o quadrant_n be_v apply_v both_o to_o the_o east_n point_n and_o the_o sun_n place_n project_n a_o line_n to_o intersect_v the_o meridian_n perpendicular_o in_o equal_a degree_n from_o which_o intersection_n the_o sun_n have_v at_o the_o same_o time_n equal_a height_n be_v the_o degree_n few_o or_o many_o for_o those_o 5._o degree_n to_o the_o northwards_o of_o this_o intersection_n have_v the_o sun_n in_o the_o same_o height_n that_o they_o 5_o degree_n to_o the_o southwards_o have_v it_o and_o those_o 10_o 20_o 30._o degree_n more_o or_o less_o to_o the_o northwards_o have_v the_o sun_n in_o the_o same_o height_n that_o they_o have_v that_o be_v 10_o 20._o 30._o degree_n more_o or_o less_o to_o the_o southwards_o so_o that_o this_o prob._n may_v be_v perform_v another_o way_n more_o easy_o with_o your_o compass_n thus_o have_v first_o rectify_v the_o globe_n and_o hour_n index_n turn_v about_o the_o globe_n till_o the_o hour_n index_n point_n to_o the_o hour_n of_o the_o day_n then_o pitch_v one_o foot_n of_o your_o compass_n in_o the_o sun_n place_n and_o extend_v the_o other_o to_o the_o degree_n of_o latitude_n on_o the_o meridian_n which_o in_o this_o example_n be_v 51½_n degree_n north_n then_o keep_v the_o first_o foot_n of_o your_o compass_n on_o the_o degree_n of_o the_o sun_n turn_v about_o the_o other_o foot_n to_o the_o meridian_n and_o it_o will_v fall_v upon_o 25½_n as_o before_o blaew_n comment_v upon_o this_o problem_n take_v notice_n how_o gross_o they_o ere_o that_o think_v they_o can_v find_v the_o height_n of_o the_o pole_n at_o any_o hour_n of_o the_o day_n by_o the_o sun_n height_n because_o they_o do_v not_o consider_v that_o it_o be_v impossible_a to_o find_v the_o hour_n of_o the_o day_n unless_o they_o first_o know_v the_o height_n of_o the_o pole_n prob._n xlviii_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 the_o artificial_a day_n be_v that_o space_n of_o time_n which_o the_o sun_n be_v above_o the_o horizon_n of_o any_o place_n and_o the_o artificial_a night_n be_v that_o space_n of_o time_n which_o the_o sun_n be_v under_o the_o horizon_n of_o any_o place_n they_o be_v measure_v in_o the_o hour_n circle_n by_o hour_n and_o minute_n there_o be_v a_o constant_a unequallity_n of_o proportion_n in_o the_o length_n of_o these_o day_n and_o night_n which_o be_v cause_v both_o by_o the_o alteration_n of_o the_o sun_n declination_n and_o the_o difference_n of_o the_o pole_n elevation_n those_o that_o inhabit_v on_o the_o north_n side_n the_o equator_fw-la have_v their_o long_a day_n when_o the_o sun_n enter_v ♋_o and_o those_o that_o inhabit_v on_o the_o south_n side_n the_o equator_fw-la have_v their_o long_a day_n when_o the_o sun_n enter_v ♑_o but_o to_o know_v how_o long_o the_o long_a day_n be_v in_o any_o north_n or_o south_n elevation_n raise_v the_o north_n or_o south_n pole_n according_a to_o the_o elevation_n of_o the_o place_n and_o bring_v ♋_o for_o north_n elevation_n or_o ♑_o for_o south_n elevation_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 turn_v the_o globe_n about_o till_o ♋_o for_o north_n elevation_n or_o ♑_o for_o south_n elevation_n come_v to_o the_o west_n side_n the_o horizon_n and_o the_o number_n of_o hour_n and_o minute_n point_v at_o on_o the_o hour_n circle_n double_v be_v the_o number_n of_o hour_n and_o minute_n of_o the_o long_a day_n the_o length_n of_o the_o night_n to_o that_o day_n be_v find_v by_o substract_v the_o length_n of_o the_o day_n from_o 24._o for_o the_o remainder_n be_v the_o length_n of_o the_o night_n the_o short_a day_n in_o that_o latitude_n be_v the_o length_n of_o the_o short_a night_n find_v as_o before_o and_o the_o long_a night_n be_v of_o the_o same_o length_n with_o the_o long_a day_n example_n i_o will_v know_v the_o length_n of_o the_o long_a day_n at_o london_n therefore_o i_o elevate_v the_o north_n pole_n 51½_n degree_n and_o bring_v ♋_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 then_o i_o turn_v ♋_o to_o the_o western_a side_n the_o horizon_n and_o find_v the_o index_n point_n at_o 8._o hour_n 18._o minute_n which_o be_v double_v make_v 16._o hour_n 36._o minute_n for_o the_o length_n of_o the_o long_a day_n here_o at_o london_n prob._n xlix_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 rectify_v the_o globe_n to_o the_o latitude_n of_o your_o place_n and_o make_v a_o prick_n at_o that_o point_n of_o the_o tropic_a which_o be_v at_o the_o meridian_n i_o mean_v at_o the_o tropic_a of_n ♋_o if_o your_o habitation_n be_v on_o the_o north_n side_n the_o equator_fw-la or_o ♑_o if_o your_o habitation_n be_v on_o the_o south_n side_n the_o equator_fw-la and_o if_o you_o will_v know_v where_o the_o long_a day_n be_v just_a a_o hour_n long_o than_o it_o be_v at_o your_o habitation_n turn_v the_o globe_n to_o the_o westward_n till_o 7½_n degree_n of_o the_o equato●_fw-la pass_v through_o the_o meridian_n and_o make_v there_o another_o prick_n on_o the_o tropic_a then_o turn_v about_o the_o globe_n till_o the_o first_o prick_v come_v to_o the_o horizon_n and_o move_v the_o meridian_n through_o the_o notch_n of_o the_o horizon_n till_o the_o second_o prick_n on_o the_o tropic_a come_v to_o the_o horizon_n so_o shall_v the_o arch_n of_o the_o meridian_n contain_v between_o the_o elevation_n of_o your_o place_n and_o the_o degree_n of_o the_o meridian_n at_o the_o horizon_n be_v the_o number_n of_o degree_n that_o the_o pole_n be_v elevate_v high_a than_o it_o be_v in_o your_o latitude_n example_n i_o will_v know_v in_o what_o latitude_n the_o long_a day_n be_v a_o hour_n long_o than_o it_o be_v at_o london_n therefore_o i_o rectify_v the_o globe_n to_o 51½_n deg_n and_o where_o the_o meridian_n cut_v the_o tropic_a of_n ♋_o i_o make_v a_o prick_n then_o i_o note_v what_o degree_n of_o the_o equator_fw-la be_v at_o the_o meridian_n and_o from_o that_o degree_n on_o the_o equator_fw-la count_v 7½_n degree_n to_o the_o eastward_n and_o bring_v those_o 7½_n degree_n to_o the_o meridian_n also_o and_o again_o where_o the_o meridian_n cut_v the_o tropic_a of_n ♋_o i_o make_v another_o prick_n so_o shall_v 7½_n degree_n of_o the_o tropic_n be_v contain_v between_o those_o 〈◊〉_d prick_v then_o i_o turn_v the_o globe_n about_o till_o the_o first_o prick_n come_v to_o the_o horizon_n and_o with_o a_o quill_n thrust_v between_o the_o meridian_n and_o the_o ball_n i_o fasten_v the_o globe_n in_o this_o position_n afterward_o i_o move_v the_o meridian_n through_o the_o 〈◊〉_d of_o the_o horizon_n till_o the_o second_o prick_n rise_v up_o to_o the_o horizon_n and_o then_o i_o find_v 56½_n degree_n of_o the_o meridian_n cut_v by_o the_o superficies_n of_o the_o horizon_n therefore_o i_o say_v in_o the_o latitude_n of_o 56½_n degree_n the_o long_a day_n be_v a_o hour_n long_o than_o it_o be_v here_o at_o london_n but_o if_o you_o will_v know_v in_o what_o latitude_n the_o day_n be_v a_o hour_n short_a you_o must_v make_v your_o second_o prick_n 7½_n degree_n to_o the_o westward_n of_o the_o first_o and_o after_o you_o have_v bring_v the_o first_o prick_n to_o the_o horizon_n you_o must_v depress_v the_o pole_n till_o the_o second_o prick_n descend_v to_o the_o horizon_n so_o shall_v the_o degree_n of_o the_o meridian_n at_o the_o horizon_n show_v in_o