these_o i_o put_v in_o their_o place_n as_o in_o the_o figure_n the_o gnomon_n must_v stand_v square_a upon_o the_o substyle_n at_o a_o angle_n of_o 34_o degree_n note_v that_o the_o reclination_n must_v always_o be_v reckon_v from_o the_o limb_n inward_o upon_o the_o finitor_n because_o where_o the_o finitor_n touch_v the_o limb_n there_o be_v our_o zenith_n for_o this_o turn_n inclination_n be_v reckon_v from_o the_o zenith_n line_n which_o here_o be_v both_o the_o diameter_n of_o the_o horizon_n and_o horizon_n itself_o for_o the_o opposite_a or_o incline_v face_n of_o this_o dyal-plain_a use_v the_o general_a way_n i_o show_v you_o chapter_n 12._o that_o be_v strike_v the_o substyle_n and_o all_o the_o hour_n line_n through_o the_o centre_n and_o set_v the_o same_o figure_n to_o every_o hour_n line_n beyond_o the_o centre_n which_o he_o have_v on_o this_o side_n and_o set_v the_o gnomon_n upon_o the_o substyle_n downward_o to_o behold_v the_o south_n pole_n and_o it_o be_v do_v and_o so_o by_o the_o incline_v dyal_n if_o you_o have_v he_o first_o draw_v you_o may_v present_o make_v the_o recliner_n chap._n xvi_o how_o to_o find_v the_o arch_n and_o angle_n that_o be_v requisite_a for_o the_o make_n of_o the_o recline_a decline_a dyal_n before_o you_o can_v intelligent_o make_v a_o reclining-declining_a dyal_n which_o be_v the_o most_o irregular_a of_o all_o have_v two_o anomaly_n viz._n declination_n and_o reclination_n you_o must_v be_v acquaint_v with_o 3_o triangle_n in_o the_o sphere_n wherein_o certain_a arch_n and_o angle_n lie_v which_o be_v neefull_a to_o be_v know_v i_o advise_v you_o therefore_o first_o to_o draw_v though_o it_o be_v but_o by_o aim_n a_o horizontal_n projection_n of_o the_o sphere_n such_o as_o here_o i_o have_v draw_v for_o a_o south_n dyal_n decline_a west_n 50_o degree_n and_o recline_v 60_o degree_n in_o the_o latitude_n 52._o 10._o minute_n which_o shall_v be_v our_o example_n the_o circle_n e_o s_o w_n n_n be_v our_o horizon_n 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do_v well_o to_o be_v acquaint_v with_o they_o all_o in_o the_o first_o triangle_n d_o n_o o_o you_o have_v give_v d_o n_n 40_o degree_n the_o compliment_n of_o the_o plain_n declination_n n_o the_o right_a angle_n of_o our_o meridian_n with_o our_o horizon_n d_o the_o compliment_n of_o reclination_n whereby_o you_o may_v find_v d_o o_o the_o oblique_a ascension_n of_o our_o meridian_n that_o be_v how_o many_o degree_n of_o the_o plain_a the_o noon-line_n shall_v lie_v above_o the_o horizontal_n line_n also_o you_o may_v find_v n_z o_o the_o perpendicular_a altitude_n of_o the_o noon-line_n or_o the_o inclination_n of_o the_o noon-line_n of_o the_o dyal_n to_o the_o horizon_n where_o you_o shall_v note_v that_o when_o this_o altitude_n of_o the_o noon-line_n n_o o_fw-fr be_v equal_a to_o n_n p_o the_o elevation_n of_o the_o pole_n then_o be_v the_o second_o triangle_n p_o r_o o_o quite_o lose_v in_o the_o point_n p_o and_o the_o plain_a than_o become_v a_o decline_a equinoctial_a 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and_o hence_o may_v be_v find_v o_o r_n the_o declination_n of_o the_o gnomon_n or_o distance_n of_o the_o meridian_n of_o the_o plain_a from_o the_o meridian_n of_o the_o place_n r_o p_o the_o elevation_n of_o the_o pole_n above_o the_o plain_a in_o the_o plain_n own_o meridian_n p_o the_o angle_n between_o the_o meridian_n of_o the_o plain_a and_o the_o meridian_n of_o the_o place_n this_o angle_n be_v call_v the_o difference_n of_o longitude_n because_o it_o show_v how_o far_o the_o place_n be_v distant_a from_o we_o in_o longitude_n wherein_o this_o dyal_n shall_v be_v a_o direct_a dyal_n without_o declination_n have_v his_o gnomon_n in_o the_o noon-line_n of_o the_o place_n and_o and_o show_v also_o how_o many_o degree_n of_o the_o equinoctial_a or_o how_o many_o hour_n and_o minute_n there_o be_v between_o our_o meridian_n and_o the_o meridian_n of_o the_o plain_a as_o the_o arch_n o_o r_n show_v how_o many_o degree_n of_o the_o plain_a come_v between_o the_o say_v meridian_n 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by_o set_v the_o whole_a scheam_n at_o once_o on_o your_o planisphear_n where_o you_o shall_v have_v they_o almost_o all_o at_o one_o view_n for_o this_o purpose_n i_o use_v my_o planisphear_n in_o the_o horizontal_n projection_n but_o note_n that_o i_o make_v use_v only_o of_o the_o reet_n and_o label_n and_o one_o of_o the_o meridian_n of_o the_o mater_n thus_o i_o set_v d_o d_o on_o the_o axis_n of_o the_o reet_n d_o t_o d_o on_o the_o 60_o azimuth_n from_o the_o centre_n five_o u_o on_o the_o finitor_n z_o n_n on_o the_o label_n fix_v it_o in_o the_o limb_n of_o the_o reet_n 40_o degree_n from_o the_o zenith_n according_a to_o the_o arch_n d_o n._n then_o in_o the_o label_n i_o make_v a_o prick_n with_o ink_n at_o p_o for_o the_o north_n pole_n 52._o 15._o minute_n within_o the_o limb_n and_o another_o prick_n in_o the_o finitor_n at_o h_n for_o the_o pole_n of_o the_o plain_a 30_o degree_n from_o the_o centre_n which_o do_v and_o keep_v my_o label_n fix_v to_o my_o reet_n i_o 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〈…〉_o 〈…〉_o planispherium_fw-la catholicum_fw-la quod_fw-la vulgo_fw-la dicitur_fw-la the_o mathematical_a jewel_n per_fw-la joh._n palmer_n m.a._n londini_fw-la sumptibus_fw-la josephi_fw-la moxon_n the_o catholic_a planisphaer_n which_o mr_n blagrave_n call_v the_o mathematical_a jewel_n brief_o and_o plain_o describe_v in_o five_o book_n the_o first_o show_v the_o make_n of_o the_o instrument_n the_o rest_n show_v the_o manifold_a use_n of_o it_o 1._o for_o represent_v several_a projection_n of_o the_o sphere_n 2._o for_o resolve_v all_o spherical_a triangle_n 3._o for_o resolve_v all_o problem_n of_o the_o sphere_n astronomical_a astrological_a and_o geographical_a 4._o for_o make_v all_o sort_n of_o dial_n both_o without_o door_n and_o within_o upon_o any_o wall_n ceiling_n or_o floores_n be_v they_o never_o so_o irregular_a where-so-eve_a the_o direct_a or_o reflect_v beam_n of_o the_o sun_n may_v come_v all_o which_o be_v to_o be_v do_v by_o this_o instrument_n with_o wondrous_a 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by_o the_o azimuth_n of_o the_o nonagesimus_fw-la gradus_fw-la number_n in_o the_o limb_n from_o the_o equinoctial_a line_n towards_o the_o pole_n the_o altitude_n of_o the_o nonagesimus_fw-la gradus_fw-la which_o be_v the_o high_a degree_n of_o the_o ecliptic_a and_o thereto_o set_v the_o finitor_n turn_v the_o almicanter_n either_o to_o the_o north_n or_o to_o the_o south_n as_o your_o work_n propose_v shall_v require_v now_o be_v the_o finiter_n ecliptic_a his_o point_n at_o the_o limbis_a nonagesimus_fw-la gradus_fw-la the_o centre_n of_o the_o planisphear_n be_v ascendant_n and_o descendant_n the_o east_n and_o west_n point_v of_o the_o horizon_n be_v here_o distant_a from_o the_o centre_n as_o much_o as_o the_o amplitude_n of_o the_o ascendant_n come_v to_o to_o be_v count_v from_o the_o centre_n upon_o the_o eqinoctial_a line_n of_o the_o mater_n which_o here_o stand_v for_o horizon_n the_o meridian_n and_o parallel_n of_o the_o mater_n be_v here_o
find_v in_o the_o next_o rule_n 2._o another_o way_n mark_v what_o be_v the_o right_a ascension_n of_o the_o point_n propose_v be_v count_v from_o the_o next_o equinoctial_a point_n as_o of_o ♉_o 9_o degr_n the_o right_a ascension_n be_v 36.36_o min._n count_v so_o many_o degree_n in_o the_o arctic_a circle_n from_o the_o axletree_n at_o the_o end_n of_o this_o number_n be_v the_o pole_n of_o the_o ecliptic_a lay_v the_o label_n to_o he_o and_o you_o shall_v make_v a_o quadrantal_a triangle_n who_o side_n shall_v be_v equal_a to_o the_o angle_n of_o the_o former_a triangle_n which_o be_v make_v of_o the_o longitude_n declination_n and_o right_a ascension_n of_o the_o point_n propose_v for_o the_o right_a angle_n you_o have_v a_o radius_fw-la or_o quadrant_n of_o the_o axis_n for_o the_o angle_n of_o the_o great_a declination_n between_o the_o equator_fw-la and_o ecliptic_a 23_o ½_n you_o have_v the_o arch_n of_o a_o meridian_n between_o the_o pole_n of_o the_o equator_fw-la and_o the_o pole_n of_o the_o ecliptic_a for_o the_o angle_n seek_v you_o have_v the_o arch_n of_o the_o label_n between_o the_o pole_n of_o the_o ecliptic_a and_o the_o centre_n 71.20_o minute_n as_o before_o the_o least_o angle_n of_o this_o quadrantal_a triangle_n be_v at_o the_o centre_n and_o you_o shall_v find_v his_o measure_n in_o the_o limb_n 14.32_o minute_n that_o be_v the_o measure_n of_o the_o least_o side_n of_o the_o former_a triangle_n viz._n the_o declination_n of_o the_o point_n propose_v here_o you_o see_v if_o the_o declination_n have_v be_v give_v you_o shall_v have_v set_v it_o in_o the_o limb_n between_o the_o pole_n and_o the_o label_n and_o so_o have_v you_o make_v the_o same_o quadrantal_a triangle_n and_o may_v have_v find_v on_o the_o label_n between_o the_o arctic_a circle_n and_o the_o centre_n the_o measure_n of_o the_o angle_n seek_v and_o likewise_o in_o the_o arctic_a circle_n between_o the_o label_n and_o the_o axtree-line_n the_o right_a aseension_n though_o it_o be_v more_o than_o be_v require_v the_o reason_n hereof_o you_o may_v learn_v from_o book_n 3.7_o chap._n x._o to_o find_v the_o point_n of_o the_o ecliptic_a in_o which_o the_o longitude_n and_o right_a ascension_n have_v great_a difference_n move_v the_o label_n on_o the_o polar_a circle_n till_o you_o find_v the_o degree_n of_o the_o label_n between_o the_o polar_a circle_n and_o the_o limb_n to_o be_v equal_a to_o the_o degr_n of_o the_o limb_n between_o the_o label_n and_o the_o pole_n so_o have_v you_o a_o rectangle_v aeqaicrurall_a triangle_n make_v by_o the_o limb_n label_n and_o the_o meridian_n 46_o ¼_n like_v to_o that_o in_o the_o second_o variety_n book_n 3.10_o here_o the_o angle_n b_o at_o the_o pole_n between_o the_o 46_o ¼_n meridian_n and_o the_o limb_n be_v equal_a to_o the_o longitude_n of_o the_o point_n seek_v 46¼_n and_o either_o leg_n be_v equal_a to_o the_o declination_n thereof_o 16_o ¼_n therefore_o i_o conclude_v that_o when_o the_o sun_n be_v 46_o ¼_n in_o longitude_n that_o be_v in_o ♉_o 16_o ¼_n than_o his_o longitude_n have_v further_a out_o run_v the_o right_a ascension_n subtract_v now_o the_o right_a ascension_n of_o ♉_o 16_o ¼_n which_o be_v 43_o ¾_n out_o of_o the_o longitude_n 46_o ¼_n there_o remain_v 2_o deg_fw-la ½_n which_o be_v convert_v into_o time_n be_v 10_o min._n the_o great_a inequality_n of_o ascension_n in_o a_o right_a sphere_n chap._n ii_o to_o find_v the_o latitude_n of_o your_o place_n or_o the_o elevation_n of_o the_o pole_n above_o your_o horizon_n by_o the_o meridional_a altitude_n and_o declination_n of_o the_o sun_n meridional_a projection_n geographer_n call_v the_o distance_n of_o a_o place_n from_o the_o near_a point_n of_o the_o equator_fw-la upon_o earth_n the_o latitude_n of_o that_o place_n as_o the_o latitude_n of_o london_n be_v 51_o deg_fw-la 32_o min._n from_o the_o equator_fw-la northward_o the_o latitude_n of_o st_n thomas_n island_n upon_o the_o coast_n of_o africa_n be_v 0_o deg_fw-la 0_o min._n because_o the_o middle_n of_o that_o island_n lie_v under_o the_o equator_fw-la and_o because_o the_o latitude_n of_o your_o place_n and_o the_o elevation_n of_o the_o pole_n above_o your_o horizon_n be_v always_o equal_a therefore_o the_o elevation_n of_o the_o pole_n be_v oft_o call_v latitude_n of_o the_o place_n or_o latitude_n simple_o and_o so_o for_o brevity_n sake_n we_o shall_v often_o call_v it_o but_o when_o we_o speak_v of_o the_o latitude_n of_o the_o moon_n or_o star_n you_o must_v understand_v astronomer_n thereby_o mean_v their_o distance_n from_o the_o near_a point_n of_o the_o ecliptic_a to_o find_v the_o latitude_n of_o your_o place_n get_v the_o sun_n declination_n by_o the_o 6_o or_o seven_o and_o his_o meridian_n altitude_n by_o the_o second_o of_o this_o book_n then_o find_v the_o parallel_n of_o the_o sun_n declination_n north_n or_o south_n as_o the_o declination_n be_v and_o where_o it_o touch_v the_o limb_n here_o meridian_n there_o be_v the_o point_n where_o you_o observe_v the_o sun_n at_o noon_n set_v the_o south_n end_n of_o the_o finiter_n so_o many_o degr_n below_o this_o point_n as_o the_o meridian_n altitude_n have_v then_o be_v your_o finiter_n set_v to_o your_o latitude_n and_o you_o shall_v find_v the_o measure_n of_o it_o between_o the_o equator_fw-la and_o the_o zenith_n which_o be_v proper_o the_o latitude_n and_o the_o same_o measure_n shall_v you_o find_v between_o the_o north_n point_n of_o the_o finiter_n and_o the_o north_n pole_n where_o it_o be_v more_o proper_o call_v the_o elevation_n of_o the_o pole_n example_n june_n 20_o 1651._o i_o observe_v the_o meridian_n altitude_n of_o the_o sun_n here_o at_o ecton_n four_o mile_n eastward_o from_o northampton_n 60_o degr_n 59_o min._n the_o longitude_n of_o the_o sun_n be_v then_o ♋_o 8_o degr_n 19_o min._n ½_n his_o declination_n 23_o degr_v 14_o min._n northward_o therefore_o have_v find_v in_o the_o limb_n the_o point_n where_o the_o parallel_n 23_o degr_n 14_o min._n touch_v above_o the_o equator_fw-la i_o put_v the_o south_n end_n of_o the_o finiter_fw-la 60_o degr_n 59_o min._n below_o that_o point_n towards_o the_o south_n pole_n which_o do_v i_o see_v the_o north_n pole_n elevate_v above_o the_o finiter_fw-la 52_o degr_n 15_o min._n and_o the_o zenith_n of_o my_o horizon_n likewise_o to_o be_v remove_v from_o the_o equator_fw-la northward_o 52_o degr_n 15_o min._n which_o be_v the_o latitude_n of_o ecton_n note_v that_o you_o may_v best_o observe_v the_o latitude_n when_o the_o sun_n be_v near_o the_o summer_n tropic_n for_o than_o you_o shall_v not_o be_v trouble_v with_o refraction_n and_o then_o the_o declination_n vary_v slow_o which_o vary_v almost_o one_o minute_n every_o hour_n near_o the_o equinoctial_a chap._n xii_o to_o do_v the_o same_o by_o the_o meridian_n altitude_n of_o the_o star_n about_o the_o pole_n many_o of_o the_o star_n near_o the_o northern_a pole_n may_v be_v see_v with_o we_o twice_o in_o the_o meridian_n in_o one_o winter_n night_n that_o be_v one_o while_o above_o the_o pole_n and_o 12_o hour_n after_o again_o below_o the_o pole_n as_o for_o example_n the_o polestar_n call_v alrucabe_n about_o december_n 18_o will_n be_v in_o the_o meridian_n above_o the_o pole_n at_o 6_o of_o the_o clock_n at_o night_n and_o at_o 6_o next_o morning_n he_o will_v be_v in_o the_o meridian_n below_o the_o pole_n observe_v both_o the_o meridian_n altitude_n and_o add_v they_o together_o half_o that_o sum_n be_v the_o elevation_n of_o the_o pole_n example_n i_o observe_v at_o ecton_n the_o great_a altitude_n of_o the_o polestar_n to_o be_v 54_o deg_fw-la 45_o min._n and_o his_o least_o altitude_n 49_o degr_n 45_o min._n the_o sum_n be_v 104_o deg_fw-la 30_o min._n the_o half_a 52_o degr_n 15_o min._n the_o latitude_n of_o ecton_n and_o here_o i_o have_v get_v also_o the_o pole-star_n distance_n from_o the_o pole_n and_o consequent_o his_o declination_n which_o be_v the_o compliment_n thereof_o for_o the_o latitude_n be_v subduct_v from_o the_o great_a altitude_n leave_v the_o star_n distance_n from_o the_o pole_n 2_o degr_n 30_o min._n and_o consequent_o show_v his_o declination_n to_o be_v 87_o degr_n 30_o min._n which_o be_v 39_o min._n more_o than_o gemma_fw-la frisius_n observe_v it_o anno_fw-la dom._n 1547._o for_o in_o our_o age_n the_o polestar_n approach_v about_o 1_o min._n near_o the_o pole_n in_o every_o 3_o year_n note_v that_o these_o star_n which_o be_v distant_a from_o the_o pole_n less_o than_o the_o latitude_n and_o more_o than_o the_o compliment_n thereof_o have_v their_o less_o meridian_n altitude_n in_o the_o north_n part_n of_o the_o meridian_n and_o their_o great_a meridian_n altitude_n in_o the_o southern_a part_n of_o the_o meridian_n beyond_o the_o zenith_n wherefore_o for_o they_o you_o shall_v take_v the_o compliment_n of_o
it_o because_o the_o sun_n be_v then_o in_o the_o horizon_n of_o this_o dyal_n where_o he_o project_n the_o shadow_n of_o all_o upright_a thing_n infinite_a and_o as_o you_o find_v the_o point_n for_o the_o hour_n afternoon_n so_o may_v you_o by_o like_a reason_n find_v the_o point_n for_o the_o 5._o morning_n hour_n and_o their_o quarter_n also_o if_o you_o please_v which_o have_v if_o by_o these_o point_n find_v you_o draw_v line_n parallel_v to_o the_o vertical_a line_n of_o the_o plain_a which_o be_v here_o the_o meridian_n of_o the_o plain_a and_o of_o the_o place_n they_o shall_v be_v the_o true_a hour-line_n and_o the_o gnomon_n edge_n must_v stand_v over_o the_o meridian_n and_o parallel_v to_o it_o at_o the_o same_o distance_n that_o the_o axtree_n line_n of_o your_o planisphear_n be_v situate_a in_o project_v the_o hour_n point_v if_o you_o can_v fix_v your_o planisphear_n on_o a_o board_n as_o abovesaid_a or_o if_o your_o plain_n require_v a_o gnomon_n of_o a_o great_a or_o lesser_a height_n you_o may_v upon_o any_o board_n present_o draw_v so_o much_o of_o your_o planisphear_n as_o serve_v for_o this_o purpose_n or_o to_o say_v more_o brief_o do_v but_o make_v the_o height_n of_o your_o gnomon_n radius_fw-la and_o the_o tangent_n of_o 15_o 30_o 45_o 60_o 75._o shall_v give_v the_o distance_n of_o the_o hour_n point_v in_o the_o horizontal_n line_n on_o both_o side_n from_o the_o centre_n of_o the_o dyal_n as_o may_v appear_v in_o the_o figure_n chap._n vi_o how_o to_o make_v the_o east_n equinoctial_a dyal_n or_o the_o west_n this_o plain_n be_v a_o right_a horizon_n of_o those_o people_n who_o dwell_v under_o the_o equator_fw-la distant_a from_o we_o 90_o degree_n of_o longitude_n as_o the_o south_n equinoctial-plain_a of_o the_o last_o chapter_n be_v the_o horizon_n of_o those_o who_o dwell_v under_o the_o equator_fw-la in_o the_o same_o longitude_n with_o we_o therefore_o these_o dial_n be_v in_o all_o point_n alike_o only_o the_o substylar-line_n which_o in_o the_o south_n equinoctial_a dyal_n be_v 12._o in_o this_o east_n equinoctial_a dyal_n be_v but_o 6._o in_o the_o morning_n for_o our_o country_n because_o of_o the_o difference_n of_o longitude_n last_o draw_v a_o line_n parallel_n to_o the_o contingent_a line_n at_o such_o distance_n as_o the_o plain_n will_v afford_v as_o the_o line_n e_o i_o and_o to_o this_o you_o shall_v protract_v your_o hour_n line_n draw_v they_o from_o every_o point_n of_o the_o contingent_a to_o this_o so_o that_o they_o make_v right_a angle_n with_o the_o contingent_a and_o with_o this_o parallel_n even_o as_o the_o round_n of_o a_o ladder_n do_v with_o the_o side_n but_o that_o the_o distance_n of_o the_o round_n of_o a_o ladder_n be_v equal_a and_o these_o distance_n be_v unequal_a the_o gnomon_n must_v be_v set_v like_o a_o bridge_n perpendicular_o over_o the_o 6._o a_o clock_n hour-line_n the_o edge_n that_o cast_v shadow_n be_v parallel_n to_o it_o and_o of_o such_o height_n as_o the_o line_n k_o g_o of_o your_o planisphear_n or_o so_o that_o if_o the_o gnomon_n fall_n his_o edge_n may_v lie_v in_o the_o line_n of_o 3._o or_o of_o 9_o of_o the_o clock_n this_o also_o may_v be_v make_v speedy_o by_o help_n of_o the_o tangent_n as_o the_o south_n equinoctial_a dyal_n for_o the_o west_n equinoctial_a dyal_n it_o be_v make_v like_o the_o east_n in_o all_o point_n only_o it_o show_v but_o the_o after_o noon_n hour_n as_o the_o east_n show_v but_o those_o of_o the_o fore_a noon_n when_o you_o have_v draw_v on_o paper_n the_o east_n dyal_n and_o set_v it_o by_o guess_n in_o its_o situation_n go_v on_o the_o west_n side_n of_o it_o and_o you_o may_v see_v through_o the_o paper_n the_o picture_n of_o the_o west_n dyal_n and_o so_o will_v the_o back_n side_n of_o the_o west_n dyal_n show_v you_o the_o true_a picture_n of_o the_o east_n chap._n vii_o how_o to_o make_v the_o decline_a equinoctial_a dyal_n any_o decline_a plain_n may_v be_v so_o recline_v that_o he_o shall_v become_v a_o right_a horizon_n or_o equinoctial_a plain_n and_o at_o what_o reclination_n this_o shall_v happen_v you_o may_v easy_o find_v by_o chapter_n 19_o latitude_n 52._o 10_o minute_n declination_n 50._o 00._o west_n reclination_n 26.32_o d._n l._n 43.16_o ascension_n of_o noon-liee_a 61.59_o set_a the_o line_n m_o e_o n_o for_o the_o axis_n of_o the_o world_n or_o gnomon_n and_o prop_v he_o up_o over_o the_o line_n p_o z_o with_o two_o prop_n of_o equal_a height_n and_o perpendicular_a to_o the_o plain_a and_o make_v the_o point_n e_o which_o stand_v perpendicular_o over_o z_o the_o centre_n of_o the_o world_n then_o from_o this_o axis_n or_o gnomon_n mount_v in_o the_o air_n shall_v the_o hour-line_n be_v project_v distinct_o and_o all_o of_o they_o shall_v be_v parallel_n to_o the_o axis_n and_o one_o to_o another_o as_o it_o happen_v in_o all_o sort_n of_o equinoctial_a dial_n the_o line_n z_o p_o shall_v remain_v now_o only_o the_o meridian_n of_o the_o plain_a or_o substylar_a and_o to_o find_v the_o hour-line_n you_o shall_v do_v thus_o draw_v through_o z_o a_o equinoctial_a or_o contingent_a line_n e_o z_o make_v right_a angle_n with_o the_o axis_n m_o e_o n_o or_o z_o p_o then_z setting_z z_o o_fw-fr equal_a to_o z_o e_o draw_v upon_o the_o centre_n o_o with_o a_o extension_n of_o the_o compass_n the_o arch_n of_o the_o equinoctial_a b_o z_o d_o or_o the_o parallel_n arch_n pass_v by_o d._n then_o number_n in_o this_o arch_n from_o the_o substyle_n westward_o if_o your_o plain_a decline_n west_n or_o eastward_o if_o it_o decline_v east_n the_o difference_n of_o longitude_n and_o where_o it_o end_v there_o be_v the_o point_n of_o noon_n in_o this_o arch_n from_o that_o point_n begin_v to_o divide_v the_o say_a arch_n by_o fifteen_o of_o degree_n or_o 24_o part_n of_o the_o whole_a circle_n and_o remember_v that_o when_o you_o come_v to_o 90_o degree_n from_o the_o substyle_n you_o need_v divide_v no_o further_o for_o the_o sun_n be_v no_o long_o upon_o this_o plain_a also_o you_o may_v leave_v out_o those_o hour_n at_o which_o the_o sun_n be_v always_o under_o our_o horizon_n as_o the_o hour_n from_o 8._o at_o night_n to_o 4_o in_o the_o morning_n then_o lay_v a_o ruler_n from_o the_o centre_n o_o to_o every_o one_o of_o these_o division_n of_o the_o circle_n and_o where_o the_o ruler_n cut_v the_o contingent_a there_o make_v point_n for_o the_o hour_n respective_o and_o through_o these_o point_v you_o may_v draw_v the_o hour-line_n parallel_v to_o the_o substyle_n of_o what_o length_n you_o please_v and_o mark_v they_o from_o the_o noon_n line_n eastward_o 1_o 2_o 3._o etc._n etc._n because_o the_o sun_n diurnal_a course_n be_v westward_o and_o the_o course_n of_o the_o shadow_n be_v contrary_a he_o that_o will_n may_v make_v use_n of_o his_o planisphear_n for_o divide_v the_o hour_n as_o be_v teach_v chapter_n 4_o and_o 5._o or_o use_v a_o quadrant_n or_o a_o scale_n of_o chord_n or_o the_o table_n of_o tangent_n with_o a_o sector_n or_o a_o scale_n of_o equal_a part_n but_o it_o need_v not_o note_v that_o this_o dyal_n may_v compare_v with_o the_o hard_a however_o mr_n blagrave_n and_o other_o dyalist_n have_v omit_v it_o as_o seem_v easy_a and_o here_o wittekindus_n to_o who_o all_o late_a dyalist_n be_v much_o behold_v and_o after_o he_o fale_n be_v mistake_v use_v the_o declination_n of_o the_o plain_a where_o they_o shall_v have_v use_v the_o difference_n of_o longitude_n in_o the_o make_n of_o this_o dyal_n chap._n viii_o of_o the_o kind_n of_o oblique_a dial_n what_o a_o oblique_a dyal_n be_v and_o why_o it_o be_v so_o call_v have_v be_v show_v chapter_n 2._o they_o be_v regular_a irregular_a the_o regular_a lie_n in_o some_o notable_a circle_n of_o the_o sphere_n as_o 1._o the_o vertical_a dyal_n who_o plain_a lie_v in_o the_o horizon_n for_o which_o cause_n many_o call_v it_o the_o horizontal_n dyal_n 2._o the_o south_n and_o north_n horizontal_n dyal_n who_o plain_a lie_v in_o the_o east_n azimuth_n and_o it_o be_v common_o call_v the_o south_n or_o north_n erect_v direct_v dyal_n as_o for_o the_o east_n and_o west_n dial_n they_o belong_v to_o another_o place_n as_o be_v say_v chapter_n 5._o the_o irregular_a be_v such_o as_o lie_v oblique_a to_o the_o horizon_n as_o recline_v or_o incline_v dial_n or_o lie_v oblique_a to_o the_o meridian_n as_o decliner_n or_o else_o oblique_a to_o both_o as_o recliner_n or_o incliner_n decline_a which_o be_v esteem_v the_o hard_a of_o all_o because_o of_o their_o double_a irregularity_n though_o by_o the_o planisphear_n they_o be_v make_v almost_o as_o easy_o as_o the_o rest_n the_o declination_n of_o a_o plain_a be_v the_o azimuthal_o distance_n of_o his_o pole_n from_o the_o meridian_n
meridian_n then_o to_o the_o vertical_a of_o the_o plain_a and_o thus_o if_o you_o draw_v a_o rude_a scheam_n of_o your_o case_n you_o may_v soon_o reason_n out_o the_o declination_n better_a than_o do_v it_o blindfold_o by_o the_o rule_v common_o give_v and_o by_o these_o two_o last_o way_n you_o may_v take_v the_o declination_n not_o only_o of_o upright_a plain_n but_o of_o recliner_n also_o for_o which_o the_o first_o way_n will_v not_o serve_v chap._n xii_o how_o to_o make_v a_o decline_a horizontal_n dyal_n but_o decline_a dial_n which_o look_v awry_o from_o our_o meridian_n have_v a_o meridian_n of_o their_o own_o which_o be_v call_v the_o meridian_n of_o the_o plain_a and_o the_o substyle_n because_o the_o style_n or_o gnomor_n stand_v upon_o it_o and_o be_v indeed_o the_o meridian_n of_o that_o place_n where_o this_o decline_a dyal_n will_v be_v a_o vertical_a dyal_n and_o where_o the_o substyle_n will_v be_v the_o noon_n line_n and_o to_o this_o substyle_n the_o hour_n of_o the_o plain_n be_v always_o so_o conform_v that_o the_o near_o they_o be_v to_o the_o substyle_n the_o narrow_a be_v the_o hour_n space_n and_o contrary_o because_o the_o meridian_n do_v so_o cut_v every_o oblique_a horizon_n that_o be_v thick_a near_o the_o meridian_n of_o the_o place_n and_o this_o decline_a dyal_n be_v a_o stranger_n with_o we_o follow_v the_o fashion_n of_o his_o own_o country_n and_o so_o have_v his_o narrow_a hour_n space_n near_o his_o own_o meridian_n rather_o than_o we_o now_o as_o that_o be_v the_o meridian_n of_o our_o place_n which_o cut_v our_o horizon_n at_o right_a angle_n pass_v through_o his_o pole_n zenith_n and_o nadir_n so_o the_o meridian_n of_o any_o plain_n be_v that_o which_o cut_v the_o plain_a at_o right_a angle_n and_o pass_v through_o his_o pole_n you_o may_v find_v all_o these_o requisite_n in_o the_o meridional_a projection_n not_o only_o for_o one_o but_o for_o all_o declination_n lie_v as_o in_o a_o table_n before_o you_o with_o admirable_a ease_n and_o delight_n for_o there_o be_v no_o decline_a wall_n or_o horizontal_n plain_a but_o we_o have_v a_o azimuth_n in_o the_o reet_n which_o shall_v picture_n he_o and_o look_v how_o the_o meridian_n divide_v these_o azimuth_n so_o do_v they_o divide_v the_o orison_n or_o circle_n of_o the_o decline_a plain_n the_o pole_n of_o any_o azimuth_n be_v find_v in_o the_o finitor_n 90_o degree_n distant_a from_o he_o the_o meridian_n that_o cut_v the_o pole_n of_o the_o azimuth_n cut_v also_o the_o azimuth_n and_o the_o plain_a thereby_o represent_v at_o right_a angle_n and_o be_v the_o meridian_n of_o the_o plain_a or_o substylar_a chapter_n 2._o theorem_fw-la 11._o and_o the_o degree_n of_o that_o meridian_n between_o the_o plain_a and_o the_o next_o pole_n of_o the_o world_n be_v the_o elevation_n of_o the_o pole_n above_o the_o plain_a and_o so_o the_o elevation_n of_o the_o gnomon_n or_o style_n and_o the_o arch_n of_o the_o plain_a comprehend_v between_o this_o meridian_n of_o the_o plain_a and_o the_o limb_n be_v the_o declination_n of_o the_o gnomon_n or_o distance_n of_o the_o substyle_n from_o the_o meridian_n or_o distance_n of_o the_o meridian_n of_o the_o plain_a from_o the_o meridian_n of_o the_o place_n what_o will_v you_o more_o example_n if_o a_o wall_n decline_v east_n 30_o degree_n i_o say_v because_o the_o face_n of_o the_o wall_n look_v 30_o degree_n from_o the_o south_n eastward_o therefore_o the_o plain_a which_o lie_v 90_o degree_n from_o his_o pole_n be_v in_o the_o 30_o azimuth_n from_o the_o east_n northward_o therefore_o i_o go_v to_o the_o 30_o azimuth_n from_o the_o east_n line_n of_o axis_n count_v cither_o way_n and_o take_v that_o azimuth_n and_o his_o match_n which_o be_v equal_o distant_a from_o the_o axis_n for_o the_o very_a picture_n of_o my_o decline_a plain_n then_o seek_v the_o substyle_n or_o meridian_n of_o the_o plain_a i_o say_v the_o pole_n of_o the_o plain_n be_v in_o the_o finitor_n at_o the_o 30_o azimuth_n from_o meridies_n in_o the_o limb_n because_o the_o plain_n itself_o be_v the_o 30_o azimuth_n beyond_o the_o axis_n the_o meridian_n that_o cut_v this_o pole_n be_v the_o 36_o ¼_n exact_o 36._o 8_o minute_n the_o number_n whereof_o show_v i_o the_o difference_n of_o longitude_n between_o our_o country_n and_o the_o country_n of_o this_o dyal_n this_o 36_o ¼_n meridian_n be_v the_o meridian_n of_o the_o plain_a i_o follow_v towards_o the_o pole_n and_o find_v he_o cut_v both_o the_o arch_n of_o my_o plain_n on_o both_o side_n the_o axis_n but_o i_o regard_v the_o cuttng_a only_o in_o that_o arch_n which_o be_v near_a to_o the_o pole_n because_o there_o the_o angle_n look_v more_o like_o a_o right_a angle_n and_o there_o be_v the_o near_a distance_n of_o the_o pole_n from_o the_o plain_a and_o there_o i_o see_v the_o hour_n space_n lest_o from_o that_o intersection_n therefore_o i_o reckon_v in_o the_o same_o meridian_n to_o the_o pole_n 32_o degree_n and_o perhaps_o a_o minute_n more_o you_o may_v find_v it_o by_o calculation_n this_o be_v the_o elevation_n of_o the_o pole_n above_o the_o plain_a and_o of_o the_o gnomon_n likewise_o also_o from_o the_o same_o intersection_n i_o reckon_v in_o the_o plain_a to_o the_o limb_n or_o meridian_n 21._o degree_n 10._o minute_n the_o distance_n of_o the_o meridian_n of_o the_o plain_a from_o the_o meridian_n of_o the_o place_n the_o same_o be_v the_o declination_n of_o the_o gnomon_n or_o of_o his_o substyle_n then_o for_o the_o hour_n i_o begin_v at_o the_o zenith_n of_o the_o reet_n where_o be_v our_o meridian_n and_o number_v first_o towards_o the_o substyle_n i_o seek_v at_o what_o number_n of_o degree_n from_o the_o zenith_n the_o hour_n circle_n cut_v my_o plain_n and_o i_o find_v as_o follow_v deg_fw-la min._n 11._o 9_o 35_o 10._o 17._o 54_o 9_o 25._o 54_o 8._o 34._o 22_o 7._o 44._o 17_o 6._o 57_o 10_o 5._o 75._o 4_o then_o in_o the_o other_o arch_n of_o the_o plain_a i_o have_v the_o afternoon_n hour_n thus_o deg_fw-la min._n 1_o 12._o 10_o 2_o 28._o 59_o 3_o 52._o 26_o 4_o 80._o 17_o and_o further_o i_o can_v go_v because_o i_o see_v the_o next_o hour_n be_v above_o 90_o from_o the_o substyle_n therefore_o my_o dyal_n receive_v he_o not_o on_o this_o side_n but_o on_o the_o north_n side_n there_o be_v use_v of_o he_o now_o to_o draw_v the_o dyal_n i_o consider_v that_o because_o the_o plain_n decline_v east_n therefore_o the_o gnomon_n shall_v decline_v west_n for_o the_o dyal_n be_v such_o a_o projection_n of_o the_o sphere_n wherein_o all_o the_o viâ—ual_a line_n cross_v in_o the_o nodus_fw-la of_o the_o gnomon_n and_o thence_o disperse_v themselves_o again_o towards_o the_o plain_a therefore_o that_o which_o be_v east_n in_o the_o sphere_n will_v be_v express_v west_n on_o the_o plain_a and_o contrary_o as_o be_v show_v chapter_n 2._o theorem_fw-la 11._o also_o i_o consider_v that_o howsoever_o the_o plain_n be_v turn_v east_n or_o west_n the_o gnomon_n place_n be_v fix_v because_o it_o be_v a_o part_n of_o the_o axis_n of_o the_o world_n or_o a_o line_n parallel_n to_o it_o now_o therefore_o if_o i_o turn_v a_o south_n dyal_n and_o make_v he_o decline_v east_n and_o hold_v the_o gnomon_n unmoveable_a the_o west_n side_n of_o the_o dyal_n will_v approach_v near_o to_o the_o gnomon_n as_o reason_n and_o sense_n will_v tell_v i_o likewise_o the_o hour_n which_o be_v find_v on_o the_o same_o side_n of_o the_o meridian_n or_o noon-line_n with_o the_o substile_n must_v be_v set_v the_o same_o way_n with_o it_o from_o the_o noon-line_n in_o the_o dyal_n therefore_o have_v draw_v a_o horizontal_n line_n e_o w_n on_o the_o wall_n from_o the_o centre_n take_v at_o a_o i_o let_v fall_v the_o perpendicular_a a_o b_o for_o the_o noon-line_n then_o upon_o the_o centre_n a._n i_o draw_v a_o blind_a semicircle_n with_o the_o semi-diameter_n of_o my_o planisphear_n or_o of_o some_o quadrant_n as_o e_z b_o w_o and_o therein_o i_o prick_v down_o the_o substyle_n and_o the_o hour_n after_o the_o manner_n use_v the_o 10_o chapter_n this_o be_v the_o most_o ready_a way_n to_o delineate_v the_o opposite_a face_n of_o any_o dyal_n see_v another_o way_n to_o make_v this_o decline_a horizontal_n dyal_n chapter_n 21._o chap._n xiii_o how_o to_o observe_v the_o reclination_n or_o inclination_n or_o any_o plain_n what_o reclination_n and_o inclination_n be_v have_v be_v show_v chapter_n 8._o all_o recline_a and_o incline_v plain_n have_v their_o base_n or_o horizontal_n diameter_n lie_v in_o the_o horiz_n ontal_a diameter_n of_o some_o azimuth_n but_o the_o top_n or_o nonagesimus_fw-la gradus_fw-la of_o the_o plain_a from_o the_o horizon_n lean_v back_o from_o the_o zenith_n of_o your_o place_n in_o the_o vertical_a of_o the_o plain_a which_o be_v the_o
plain_n the_o top_n of_o this_o radius_fw-la in_o the_o gnomon_n be_v call_v nodus_fw-la because_o you_o must_v there_o set_v a_o knot_n bede_n or_o button_n to_o give_v shade_n or_o else_o cut_v there_o a_o notch_n in_o the_o gnomon_n or_o cut_v off_o the_o gnomon_n in_o the_o place_n of_o nodus_fw-la that_o the_o end_n may_v give_v the_o shadow_n for_o those_o lineament_n let_v not_o your_o nodus_fw-la stand_v too_o high_a above_o the_o plain_a for_o then_o the_o shadow_n will_v fall_v beside_o your_o plain_n for_o too_o great_a a_o part_n of_o the_o plain_n day_n nor_o let_v it_o stand_v too_o low_a for_o then_o the_o lineament_n will_v run_v too_o close_o together_o a_o mean_a must_v be_v choose_v at_o the_o foot_n of_o this_o radius_fw-la take_v your_o centre_n and_o describe_v a_o circle_n on_o the_o plain_a and_o divide_v it_o into_o equal_a degree_n and_o from_o the_o centre_n draw_v line_n through_o those_o degree_n infinite_o that_o be_v so_o far_o as_o your_o dyal-plain_a will_v bear_v these_o line_n shall_v be_v the_o azimuth_n of_o the_o horizon_n of_o the_o plain_a and_o shall_v be_v number_v from_o his_o meridian_n or_o sub_n style_n and_o to_o divide_v the_o say_a azimuth_n line_n you_o use_v the_o table_n of_o tangent_n with_o a_o scale_n of_o equal_a part_n or_o else_o plot_v the_o tangent_n thus_o on_o paper_n set_z a_o b_o equal_a to_o the_o radius_fw-la of_o your_o horizon_n and_o with_o that_o radius_fw-la draw_v the_o quadrant_n a_o b_o c_o or_o a_o b_o c_o and_o divide_v the_o quadrant_n number_v the_o degree_n from_o c_o to_o b_o and_o have_v draw_v the_o tangent_fw-la b_o d_o or_o b_o d_o parallel_n to_o a_o c_o draw_z line_n from_o the_o centre_n through_o the_o several_a degree_n to_o the_o say_a tangent-line_n so_o shall_v this_o tangent-line_n be_v divide_v for_o your_o purpose_n and_o from_o it_o you_o may_v transfer_v the_o division_n to_o your_o plain_n now_o if_o your_o plain_a lie_n in_o the_o horizon_n of_o your_o place_n as_o the_o vertical_a plain_n do_v these_o azimuth_n and_o almicantars_n may_v be_v of_o some_o use_n to_o show_v you_o the_o altitude_n and_o azimuth_n of_o the_o sun_n for_o any_o time_n see_v they_o in_o the_o scheam_n chapter_n 30._o but_o if_o your_o plain_n lie_v not_o in_o the_o horizon_n of_o your_o place_n than_o you_o shall_v draw_v the_o say_v almicantars_n or_o azimuth_n or_o so_o many_o of_o they_o as_o you_o shall_v need_v in_o deleble_a line_n because_o here_o they_o serve_v only_o the_o horizon_n of_o the_o plain_a yet_o shall_v they_o help_v you_o to_o describe_v the_o equator_fw-la and_o his_o parallel_n with_o the_o horizon_n of_o your_o place_n in_o any_o dyal_n and_o when_o they_o have_v do_v this_o unless_o your_o dyal_n be_v vertical_a they_o may_v be_v go_v chap._n xxviii_o how_o by_o help_n of_o the_o proper_a azimuth_n and_o almicantars_n of_o the_o plain_a to_o describe_v the_o equator_fw-la and_o his_o parallel_n on_o the_o polar_a or_o orthognomonical_a dyal_n it_o shall_v suffice_v here_o to_o show_v how_o the_o parallel_n of_o the_o sign_n may_v be_v describe_v because_o the_o parallel_n of_o declination_n and_o of_o the_o length_n of_o the_o day_n be_v describe_v by_o like_a reason_n and_o know_v that_o in_o the_o polar_a plain_n because_o the_o gnomon_n be_v perpendicular_a to_o the_o plain_a the_o same_o gnomon_n shall_v serve_v both_o hour_n and_o azimuth_n for_o the_o hour-line_n be_v azimuth_n in_o this_o plain_a note_v also_o that_o the_o sun_n be_v never_o elevate_v above_o this_o plain_a more_o than_o he_o decline_v from_o the_o equator_fw-la which_o at_o the_o most_o be_v 23_o ½_n degree_n and_o that_o if_o the_o height_n of_o nodus_fw-la be_v above_o a_o six_o part_n of_o the_o semidiameter_n of_o the_o plain_a the_o ten_o first_o almicantars_n will_n fall_v beside_o the_o plain_a a_o six_o part_n therefore_o must_v serve_v and_o that_o will_v give_v you_o all_o the_o altitude_n above_o to_o degree_n and_o the_o parallel_n of_o the_o sign_n who_o declination_n be_v more_o than_o 10._o describe_v therefore_o the_o almicantars_n here_o as_o you_o be_v teach_v chapter_n 27._o for_o in_o the_o hour_n line_n you_o have_v already_o every_o 15_o azimuth_n and_o may_v draw_v more_o if_o you_o please_v chap._n xxix_o how_o to_o inscribe_v the_o equator_fw-la and_o his_o parallel_n in_o the_o equinoctial_a or_o parallelognomonical_a dyal_n if_o this_o plain_a decline_v not_o the_o hour_n line_n of_o your_o country_n will_v serve_v you_o for_o they_o be_v also_o the_o hour_n line_n of_o the_o plain_a and_o the_o noon-line_n be_v sub_n style_n if_o it_o do_v decline_v you_o shall_v draw_v in_o deleble_a line_n the_o proper_a dyal_n of_o the_o plain_a by_o chapter_n 23._o which_o decline_v not_o and_o have_v here_o the_o azimuth_n or_o almicantars_n of_o the_o plain_a draw_v by_o chapter_n 27._o you_o shall_v observe_v upon_o your_o planisphear_n at_o what_o altitude_n or_o at_o what_o azimuth_n the_o parallel_n cut_v the_o several_a hour_n line_n and_o where_o the_o like_a altitude_n or_o azimuth_n cut_v the_o same_o hour_n line_n upon_o the_o plain_a you_o shall_v make_v mark_n and_o through_o those_o mark_n draw_v the_o parallel_n which_o shall_v be_v all_o conical_a section_n except_o the_o equator_fw-la which_o because_o he_o be_v a_o great_a circle_n shall_v be_v a_o straight_a line_n on_o those_o plain_n and_o in_o all_o other_o plain_n except_o the_o polar_a where_o he_o be_v a_o circle_n in_o the_o equator_fw-la the_o azimuth_n be_v always_o the_o same_o full_a east_n or_o west_n and_o so_o upon_o your_o plain_n he_o must_v needs_o be_v a_o straight_a line_n the_o altitude_n in_o the_o equator_fw-la be_v 15_o 30_o 45_o 60_o 75_o 90._o the_o hour_n alike_o distant_a from_o the_o meridian_n on_o both_o side_n be_v alike_o and_o so_o be_v the_o parallel_n alike_o distant_a from_o the_o equator_fw-la alike_o also_o when_o you_o have_v therefore_o gather_v a_o table_n out_o of_o your_o planisphear_n for_o the_o morning_n hour_n of_o the_o north_n parallel_n and_o of_o the_o equator_fw-la as_o i_o have_v do_v here_o in_o haste_n for_o the_o equator_fw-la and_o tropic_n of_o cancer_n you_o may_v by_o that_o table_n prick_v down_o the_o parallel_n upon_o one_o quarter_n of_o your_o dyal_n and_o by_o that_o also_o draw_v the_o rest_n for_o as_o you_o may_v see_v upon_o your_o planisphear_n all_o the_o 4._o quarter_n be_v alike_o note_v that_o the_o azimuth_n cut_v the_o hour_n line_n too_o oblique_o it_o be_v best_a therefore_o to_o trust_v to_o the_o almicantars_n and_o so_o shall_v you_o have_v easy_a and_o sure_a work_n though_o you_o meddle_v not_o with_o the_o azimuth_n at_o all_o chap._n xxx_o how_o to_o inscribe_v the_o equator_fw-la and_o his_o parallel_n in_o a_o oblique_a or_o scalenognomonical_a dyal_n if_o the_o plain_a neither_o decline_v nor_o recline_v and_o so_o be_v a_o vertical_a plain_n the_o hour_n line_n of_o your_o place_n will_v serve_v you_o for_o they_o be_v also_o the_o hour_n line_n of_o the_o plain_a and_o the_o noon_n line_n be_v the_o sub-style_n if_o it_o either_o decline_v or_o recline_v or_o both_o decline_v and_o recline_v you_o shall_v draw_v in_o deleble_a line_n the_o proper_a dyal_n of_o the_o plain_a by_o chapter_n 23._o and_o so_o this_o dyal_n shall_v be_v reduce_v to_o a_o vertical_a dyal_n and_o be_v as_o easy_o furnish_v with_o the_o parallel_n as_o the_o vertical_a and_o when_o you_o have_v by_o the_o deleble_a hour_n line_n of_o the_o plain_a inscribe_v the_o parallel_n you_o may_v wipe_v out_o those_o hour_n line_n of_o the_o plain_a and_o let_v the_o hour_n line_n of_o the_o place_n and_o the_o parallel_n stand_v have_v therefore_o draw_v the_o azimuth_n or_o almicantars_n of_o your_o plain_n by_o chapter_n 27_o take_v your_o planisphear_n in_o the_o meridional_a projection_n set_v the_o finitor_n to_o the_o latitude_n of_o your_o plain_n then_o find_v your_o equator_fw-la and_o parallel_n on_o the_o mater_n and_o where_o the_o several_a hour_n line_n intersect_v they_o above_o the_o finitor_n mark_v what_o azimuth_n or_o rather_o what_o almicantar_n pass_v through_o these_o intersection_n for_o in_o the_o same_o azimuth_n and_o almicantar_n shall_v the_o parallel_n cut_v the_o hour_n line_n of_o the_o plain_a upon_o the_o plain_a example_n in_o the_o vertical_a dyal_n for_o our_o latitude_n 52.15_o minute_n i_o set_v the_o finitor_n to_o this_o latitude_n and_o go_v first_o to_o the_o tropic_n of_o cancer_n i_o begin_v at_o the_o limb_n that_o be_v at_o noon_n there_o i_o see_v the_o azimuth_n full_a south_n the_o altitude_n 61.15_o minute_n at_o 1._o a_o clock_n azimuth_n 27._o altitude_n 59_o at_o 2._o azimuth_n 49_o ½_n altitude_n 53_o ⅓_n at_o 3._o azimuth_n 67._o altitude_n 45_o ½_n etc._n etc._n therefore_o where_o i_o find_v