the_o elevation_n of_o the_o pole_n the_o declination_n of_o the_o suum_fw-la and_o hour_n of_o the_o day_n be_v give_v to_o findethe_v almicanter_n be_v desire_v the_o elevation_n of_o the_o pole_n be_v 30_o degree_n the_o declination_n of_o the_o sun_n be_v 20_o degree_n north_n the_o hour_n be_v nine_o in_o the_o morning_n at_o which_o time_n the_o almicanter_n be_v find_v as_o follow_v by_o the_o nine_o demonstration_n first_o upon_o the_o centre_n a_o draw_v the_o circle_n bcde_o then_o draw_v the_o line_n b._n d._n for_o the_o horizon_n then_o place_v your_o pole_n elevation_n which_o be_v 30_o degree_n upon_o the_o circle_n from_o d_o unto_o r_o then_o from_o r_o by_o the_o centre_n a_o draw_v the_o line_n ras_o represent_v the_o pole_n of_o the_o world_n then_o from_o b_o unto_o f_o place_v the_o compliment_n of_o the_o pole_n elevation_n which_o be_v 60._o degree_n and_o from_o the_o point_n f_o by_o the_o centre_n a_o draw_v the_o line_n fah_o represent_v the_o equinoctial_a line_n and_o then_o set_v the_o declination_n of_o the_o sun_n from_o f_o unto_o l_o and_o from_o l_o draw_v the_o line_n lpo_o parallel_n unto_o the_o equator_n fah_o cut_v the_o pole_n of_o the_o world_n in_o the_o point_n p_o then_o set_v one_o foot_n of_o your_o compass_n in_o the_o point_n p_o and_o extend_v the_o other_o either_o unto_o l_o or_o unto_o o_o and_o with_o the_o same_o distance_n of_o your_o compass_n upon_o the_o centre_n p_o draw_v the_o circle_n lnoq_o which_o be_v call_v the_o hour_n circle_n so_o shall_v l_o be_v the_o point_n of_o 12_o a_o clock_n at_o noon_n n_o the_o place_n of_o six_o a_o clock_n afternoon_n o_o the_o place_n of_o 12_o a_o clock_n at_o midnight_n and_o q_o the_o place_n of_o six_o a_o clock_n in_o the_o morning_n every_o one_o of_o the_o four_o quarter_n must_v be_v divide_v into_o six_o equal_a part_n or_o hour_n make_v the_o whole_a circle_n to_o contain_v 24_o part_n represent_v the_o 24_o hour_n of_o the_o day_n and_o night_n then_o in_o regard_n the_o hour_n of_o the_o day_n be_v 9_o of_o the_o clock_n which_o be_v 3_o hour_n forenoon_n take_v three_o of_o those_o 24_o hour_n and_o place_v they_o upon_o the_o circle_n lnoq_o from_o the_o meridian_n point_n l_o unto_o k_o the_o nine_o a_o clock_n point_n in_o the_o morning_n and_o unto_o m_o the_o point_n of_o three_o a_o clock_n after_o noon_n then_o draw_v the_o line_n mk_o cut_v the_o parallel_n of_o the_o sun_n lo_o in_o the_o point_n i_o then_o from_o i_o draw_v the_o line_n ig_o parallel_n unto_o the_o horizon_n bad_o which_o shall_v cut_v the_o meridian_n circle_n bcde_o in_o the_o point_n g_o so_o let_v the_o distance_n of_o g_o and_o b_o be_v the_o almicanter_n of_o the_o sun_n which_o be_v desire_v which_o in_o this_o demonstration_n be_v find_v to_o be_v 48_o degree_n and_o 18_o minute_n dem_n 9_o chap._n xii_o the_o elevation_n of_o the_o pole_n the_o almicanter_n and_o declination_n of_o the_o sun_n be_v give_v to_o find_v the_o hour_n of_o the_o day_n the_o elevation_n of_o the_o pole_n be_v 30_o degree_n the_o declination_n of_o the_o sun_n be_v 20_o degree_n the_o almicanter_n of_o the_o sun_n be_v 48._o degree_n and_o 18_o minute_n the_o hour_n of_o the_o day_n be_v find_v as_o follow_v by_o the_o nine_o demonstration_n first_o upon_o the_o centre_n a._n draw_v the_o circle_n b._n c._n d._n e._n then_o draw_v the_o diameter_n b._n d._n represent_v the_o horizon_n then_o from_o d._n unto_o r._n set_v 30_o degree_n the_o elevation_n of_o the_o pole_n then_o from_o r._n by_o the_o point_n a._o draw_v the_o line_n r._n a._n s._n represent_v the_o pole_n of_o the_o world_n then_o draw_v the_o line_n f._n a._n h._n cross_v the_o pole_n in_o a._n at_o right_a angle_n cut_v the_o meridian_n line_n in_o f._n then_o from_o f._n set_v 20_o degree_n the_o declination_n of_o the_o sun_n unto_o l._n and_o then_o from_o the_o point_n l_o draw_v the_o line_n lpo_o represent_v the_o parallel_n of_o the_o sun_n and_o cut_v the_o pole_n of_o the_o world_n in_o p_o then_o place_v one_o foot_n of_o your_o compass_n in_o p_o extend_v the_o other_o unto_o l_o with_o which_o distance_n of_o your_o compass_n draw_v the_o hour_n circle_n i_o noq_o then_o from_o the_o horizon_n at_o b_o place_v the_o sun_n almicanter_n which_o be_v 48_o degree_n and_o 18_o minute_n upon_o the_o quadrant_n bgl_o from_o b_o unto_o g_o then_o from_o the_o point_n g_o draw_v the_o line_n gi_o parallel_n unto_o the_o horizon_n bad_o cut_v the_o line_n lo_o in_o i_o then_o from_o the_o point_n i_o draw_v the_o line_n kim_o parallel_n to_o the_o pole_n of_o the_o world_n qan_o cut_v the_o circle_n lno_o in_o m_o then_o let_v in_o be_v divide_v into_o 6_o hour_n whereof_o lm_o be_v three_o whereupon_o i_o conclude_v that_o it_o be_v three_o hour_n from_o noon_n that_o be_v at_o nine_o a_o clock_n in_o the_o morning_n or_o three_o in_o the_o afternoon_n chap._n xiii_o the_o almicanter_n or_o height_n of_o the_o sun_n be_v give_v to_o find_v the_o length_n of_o the_o right_a shadow_n according_a unto_o the_o ten_o diagram_n draw_v the_o line_n af_o and_o upon_o the_o centre_n a_o raise_v the_o perpendicular_a ac_o then_o upon_o the_o centre_n a_o draw_v the_o quadrant_n cdf_o then_o suppose_v the_o height_n of_o your_o gnomon_n or_o substance_n yield_v shadow_n be_v the_o line_n ab_o which_o be_v to_o be_v divide_v into_o 12_o equal_a part_n which_o gnomon_n i_o have_v here_o make_v just_a 12_o degree_n of_o the_o equal_a league_n of_o the_o scale_n then_o from_o b_o to_o the_o top_n of_o the_o gnomon_n draw_v the_o line_n be_v parallel_n unto_o af_o then_o set_v the_o almicanter_n which_o be_v 45_o degree_n from_o fletcher_o unto_o d_o and_o from_o the_o point_n d_o draw_v the_o line_n da_o cut_v the_o line_n be_v in_o the_o point_n g_o so_o shall_v bg_o be_v the_o length_n of_o the_o right_a shadow_n desire_v which_o be_v here_o find_v to_o be_v 14_o degree_n and_o 18_o minute_n which_o be_v but_o just_a the_o length_n of_o your_o gnomon_n and_o 2_o 12_o and_o ⅓_o of_o a_o twelve_o over_o note_v that_o the_o right_a shadow_n be_v the_o shadow_n of_o any_o post_n staff_n or_o steeple_n that_o stand_v at_o right_a angle_n with_o the_o horizon_n the_o one_o end_n thereof_o respect_v the_o zenith_n of_o the_o place_n and_o the_o other_o the_o nadir_n chap._n xiv_o the_o almicanter_n or_o height_n of_o the_o sun_n be_v give_v to_o find_v the_o length_n of_o the_o contrary_a shadow_n by_o the_o verse_n or_o contrary_a shadow_n be_v understand_v the_o length_n of_o any_o shadow_n that_o be_v make_v by_o a_o staff_n or_o gnomon_n stand_v against_o any_o perpendicular_a wall_n in_o such_o a_o manner_n that_o it_o may_v lie_v parallel_n unto_o the_o horizon_n the_o length_n of_o the_o contrary_a shadow_n do_v increase_v as_o the_o sun_n rise_v in_o height_n whereas_o contrariwise_o dem_n 10_o the_o right_a shadow_n do_v decrease_v in_o length_n as_o the_o sun_n do_v increase_v in_o height_n the_o way_n to_o find_v the_o verse_n shadow_n be_v as_o follow_v first_o draw_v your_o quadrant_n as_o be_v teach_v in_o the_o last_o chapter_n wherein_o let_v a_o b_o be_v the_o length_n of_o the_o gnomon_n likewise_o from_o b_o draw_v the_o line_n b_o e_o parallel_n unto_o a_o fletcher_o as_o before_o then_o set_v your_o almicanter_n from_o c_o upon_o the_o quadrant_n which_o be_v give_v to_o be_v 70_o degree_n and_o it_o will_v extend_v from_o c_o unto_o h_o then_o from_o the_o point_n h_o draw_v the_o line_n h_o a_o cut_v the_o line_n b_o e_o in_o the_o point_n k_o so_o shall_v k_o b_o be_v the_o length_n of_o the_o contrary_a shadow_n which_o here_o be_v find_v to_o be_v 34_o degree_n and_o 8_o min._n or_o twice_o so_o long_o as_o your_o gnomon_n and_o 10_o 12_o and_o about_o ½_o part_n of_o a_o twelve_o more_o chap._n xv_o the_o latitude_n of_o the_o place_n the_o almicanter_n and_o declination_n of_o the_o sun_n be_v give_v to_o find_v the_o azimuth_n the_o latitude_n of_o the_o place_n be_v 51_o degree_n 30_o minute_n the_o declination_n of_o the_o sun_n 20_o degreès_fw-fr north_n the_o almicanter_n 38_o degree_n 30_o minute_n the_o true_a azimuth_n of_o the_o sun_n be_v desire_v first_o upon_o the_o centre_n adraw_v the_o circle_n b_o c_o d_o e_o then_o draw_v the_o diameter_n b_o a_o d_o and_o from_o d_o unto_o fletcher_o set_v the_o elevation_n of_o the_o pole_n which_o be_v 51_o degree_n and_o 30_o minute_n who_o compliment_n be_v 38_o degree_n and_o 30_o minute_n which_o must_v be_v place_v from_o b_o unto_o h_o then_o from_o h_o draw_v the_o line_n h_o a_o i_o represent_v the_o
one_o of_o the_o pole_n be_v visual_a or_o elevate_v above_o the_o horizon_n and_o have_v the_o other_o hide_v under_o the_o horizon_n and_o in_o regard_n such_o a_o horizon_n do_v cross_v the_o equinoctial_a at_o oblique_a angle_n it_o be_v call_v horizon_n obliqun_fw-la or_o a_o decline_a horizon_n as_o for_o example_n those_o that_o inhabit_v at_o the_o point_n s_o have_v t_o for_o their_o zenith_n and_o kal_n for_o their_o horizon_n divide_v the_o equinoctial_a caesar_o at_o oblique_a angle_n make_v the_o angle_n contain_v betwixt_o the_o horizon_n ak_o and_o the_o equinoctial_a a_o c_o a_o angle_n of_o thirty_o eight_o degree_n and_o 28_o minute_n and_o the_o angle_n contain_v betwixt_o the_o horizon_n all_o and_o the_o pole_n ad_fw-la a_o angle_n of_o 51_o deg._n 32_o minute_n which_o be_v the_o elevation_n of_o the_o pole_n for_o those_o that_o inhabit_v at_o s_o those_o and_o all_o other_o have_v a_o oblique_a sphere_n except_o they_o inhabit_v just_a under_o the_o equinoctial_a circle_n unto_o who_o only_o do_v a_o right_a sphere_n belong_v colurus_n solstitiorum_fw-la or_o the_o summer_n colour_n be_v a_o circle_n pass_v by_o the_o pole_n of_o the_o world_n and_o by_o the_o pole_n of_o the_o ecliptic_a and_o by_o the_o head_n of_o cancer_n and_o capricorn_n whereupon_o the_o first_o scruple_n of_o cancer_n where_o the_o colour_n cross_v the_o ecliptic_a line_n be_v call_v punctus_fw-la solstitiae_fw-la aestivalis_fw-la or_o the_o point_n of_o the_o summer_n solstice_n to_o which_o place_n when_o the_o sun_n come_v he_o can_v approach_v no_o near_o unto_o our_o zenith_n but_o return_v unto_o the_o equator_n again_o arcu_fw-la vero_fw-la coluri_fw-la the_o ark_n of_o the_o colour_n contain_v betwixt_o the_o summer_n solstice_n and_o the_o equator_n be_v call_v the_o great_a declination_n of_o the_o sun_n which_o ptolemie_n find_v to_o be_v 23_o degree_n 31_o minute_n but_o by_o the_o observation_n of_o copernicus_n it_o be_v find_v to_o vary_v for_o he_o find_v the_o declination_n sometime_o to_o be_v 23_o degree_n 52_o minute_n and_o in_o the_o process_n of_o time_n to_o be_v but_o 23_o degree_n 28_o minute_n and_o in_o these_o our_o day_n by_o the_o observation_n of_o tycho_n de_fw-fr brake_n and_o that_o late_o famous_a mathematician_n master_n edward_n right_o it_o be_v find_v distant_a from_o the_o equinoctial_a 23_o degree_n 31_o minute_n 30_o second_n the_o other_o colour_n pass_v by_o the_o pole_n of_o the_o world_n and_o by_o the_o first_o point_n of_o aries_n and_o libra_n whereupon_o it_o be_v call_v colurus_n distinguens_fw-la equinoxia_fw-la these_o two_o colour_n do_v cross_v each_o other_o at_o right_a angle_n in_o the_o pole_n of_o the_o world_n whereupon_o these_o verse_n be_v make_v haec_fw-la duo_fw-la solstitia_fw-la faciunt_fw-la cancer_n capricornus_fw-la sed_fw-la noctes_fw-la aequant_fw-la aries_n and_o libra_n diebus_fw-la dem_n 6_o chap._n iii_o of_o the_o four_o lesser_a circle_n the_o sun_n have_v ascend_v unto_o his_o high_a solstitial_a point_n do_v describe_v a_o circle_n which_o be_v the_o near_a that_o he_o can_v approach_v unto_o the_o north_n pole_n whereupon_o it_o be_v call_v circulus_fw-la solstitii_fw-la aestivalis_fw-la the_o circle_n of_o the_o summer_n solstice_n or_o the_o tropic_a of_o cancer_n and_o be_v note_v in_o the_o figure_n before_o by_o the_o line_n h._n y._n i._n the_o sun_n also_o approach_v unto_o the_o first_o scruple_n of_o capricornus_fw-la or_o the_o winter_n solstice_n describe_v another_o circle_n which_o be_v the_o utmost_a bound_n that_o the_o sun_n can_v depart_v from_o the_o equinoctial_a line_n towards_o the_o antarctic_a pole_n whereupon_o it_o be_v call_v circulus_fw-la solstitii_fw-la hyemalis_fw-la sive_fw-la tropicus_fw-la hyemalis_fw-la vel_fw-la caepricorni_n the_o circle_n of_o the_o winter_n solstice_n the_o winter_n tropic_n or_o the_o tropic_a of_o caepricorn_n and_o be_v describe_v in_o the_o figure_n by_o the_o line_n g._n x._o f._n so_o much_o as_o the_o ecliptic_a decline_v from_o the_o equinoctial_a so_o much_o do_v the_o pole_n of_o the_o ecliptic_a decline_n from_o the_o pole_n of_o the_o world_n whereupon_o the_o pole_n of_o the_o ecliptic_a which_o be_v by_o the_o north_n pole_n of_o the_o world_n describe_v a_o certain_a circle_n as_o it_o pass_v about_o the_o pole_n of_o the_o world_n be_v just_a so_o far_o from_o the_o pole_n as_o the_o tropic_a of_o cancer_n be_v from_o the_o equator_n and_o it_o be_v the_o three_o of_o the_o lesser_a circle_n and_o be_v call_v circulus_fw-la arcticus_n or_o the_o circle_n of_o the_o north_n pole_n and_o be_v describe_v in_o the_o diagram_n in_o the_o second_o chapter_n by_o the_o line_n p._n o._n the_o four_o and_o last_o of_o the_o lesser_a circle_n be_v describe_v in_o like_o manner_n by_o the_o other_o pole_n of_o the_o ecliptic_a about_o the_o south_n pole_n of_o the_o world_n and_o therefore_o call_v circulus_fw-la antarcticus_n the_o antarctic_a circle_n or_o the_o circle_n of_o the_o antarctic_a or_o south_n pole_n and_o be_v demonstrate_v in_o the_o former_a figure_n by_o the_o line_n n._n m._n chap._n iv._o certain_a question_n astronomical_a perform_v by_o the_o plain_a scale_n the_o true_a place_n of_o the_o sun_n give_v to_o find_v his_o declination_n the_o sun_n be_v in_o the_o head_n of_o taurus_n his_o declination_n be_v desire_v by_o the_o seven_o demonstration_n draw_v the_o line_n a._n d._n then_o upon_o the_o centre_n a._n raise_v the_o perpendicular_a a._n b_o they_o open_v your_o compass_n to_o the_o radius_fw-la of_o your_o scale_n and_o place_n one_o foot_n in_o the_o centre_n a._n and_o with_o the_o other_o draw_v the_o quadrant_n b._n c._n d._n then_o open_v your_o compass_n unto_o the_o great_a declination_n of_o the_o sun_n and_o place_n it_o upon_o the_o quadrant_n from_o d._o unto_o k._n then_o from_o the_o point_n k._n draw_v the_o line_n k._n h._n cut_v the_o line_n a._n b._n in_o h._n then_o with_o the_o distance_n a._n h._n draw_v the_o small_a quadrant_n g._n e._n h._n and_o in_o regard_n the_o sun_n be_v in_o the_o head_n of_o taurus_n which_o be_v thirty_o degree_n from_o the_o beginning_n of_o aries_n let_v a._n d._n be_v the_o equator_n dem_n sep_n and_o d_o the_o beginning_n of_o aries_n d._n c._n 30_o degree_n or_o longitude_n of_o the_o sun_n then_o from_o the_o point_n c._o draw_v the_o line_n c_o a._o cut_v the_o quadrant_n g._n e._n h._n in_o e._n then_o from_o e._n draw_v the_o line_n e._n l._n parallel_n to_o a._n d._n cut_v the_o quadrant_n b._n c._n d._n in_o l._n so_o shall_v the_o arch_n l._n d._n be_v the_o declination_n of_o the_o sun_n desire_v which_o in_o this_o demonstration_n be_v find_v to_o be_v 11_o deg._n and_o 31_o minute_n chap._n v._o the_o declination_n of_o the_o sun_n and_o quarter_n of_o the_o eclipse_n that_o he_o possess_v be_v give_v it_o be_v desire_v to_o find_v his_o true_a place_n the_o declination_n be_v 10_o degree_n 31_o minute_n the_o first_o quarter_n that_o he_o possess_v be_v betwixt_o the_o head_n of_o aries_n and_o cancer_n first_o by_o the_o seven_o demonstration_n draw_v the_o quadrant_n a._n b._n c._n d._n as_o be_v teach_v in_o the_o former_a chapter_n then_o set_v the_o great_a declination_n of_o the_o sun_n upon_o the_o cord_n from_o d._o unto_o k._n which_o be_v 23_o deg._n and_o 31_o minute_n then_o from_o k._n draw_v the_o line_n k._n h._n parallel_n unto_o the_o equator_n d._n a._n cut_v the_o line_n b._n a._n in_o the_o point_n h._n so_o shall_v h._n a._n be_v the_o sign_n of_o the_o sun_n great_a declination_n then_o with_o the_o distance_n a._n h._n draw_v the_o circle_n g._n e._n h._n then_o from_o d._n upon_o the_o cord_n d._n b._n c._n set_v the_o declination_n of_o the_o sun_n which_o be_v 11_o degree_n 31_o min._n from_o d._n unto_o l._n then_o draw_v the_o line_n l._n e._n parallel_n unto_o a._n d._n cut_v the_o quadrant_n g._n e._n h._n in_o e._n then_o from_o the_o centre_n a._n by_o the_o point_n e._n draw_v the_o line_n a._n e._n c._n cut_v the_o quadrant_n b._n c._n d._n in_o c._n so_o shall_v the_o ark_n c_o d._n be_v the_o distance_n of_o the_o sun_n from_o the_o head_n of_o aries_n which_o be_v here_o find_v to_o be_v just_a 30_o deg._n which_o be_v in_o the_o beginning_n of_o taurus_n chap._n vi_o by_o the_o elevation_n of_o the_o pole_n and_o declination_n of_o the_o sun_n to_o find_v the_o amplitude_n of_o the_o sun_n or_o his_o true_a rise_n or_o settle_v from_o the_o east_n or_o west_n point_n by_o the_o eight_o demonstration_n first_o draw_v the_o line_n b._n d._n then_o upon_o the_o centre_n a._n draw_v the_o circle_n b._n c._n d._n e._n then_o from_o a._n raise_v the_o perpendicular_a c._n a._n e._n then_o be_v your_o circle_n divide_v into_o four_o equal_a part_n then_o suppose_v the_o
it_o be_v to_o be_v understand_v that_o this_o manner_n of_o operation_n do_v serve_v no_o long_o than_o you_o be_v upon_o the_o north_n side_n of_o the_o equinoctial_a for_o if_o the_o south_n pole_n be_v elevate_v the_o work_n be_v contrary_a for_o so_o long_o as_o the_o sun_n be_v in_o any_o of_o the_o northern_a sign_n the_o difference_n of_o the_o ascension_n be_v to_o be_v add_v unto_o the_o right_a ascension_n to_o find_v the_o oblique_a ascension_n and_o contrariwise_o subtract_v to_o find_v the_o oblique_a descension_n likewise_o if_o the_o sun_n or_o star_n be_v in_o the_o southern_a sign_n then_o be_v the_o difference_n of_o ascension_n subtract_v from_o the_o right_a ascension_n to_o find_v the_o oblique_a ascension_n and_o add_v to_o find_v the_o oblique_a descension_n a_o description_n of_o some_o peculiar_a thing_n fit_a to_o be_v consider_v by_o such_o as_o intend_v to_o practise_v the_o art_n of_o navigation_n or_o astronomy_n the_o zenith_n be_v a_o imaginary_a point_n in_o the_o heaven_n over_o our_o head_n make_v right_a angle_n with_o the_o horizon_n as_o the_o equinoctial_a make_v with_o the_o pole_n the_o nader_n be_v a_o prick_n in_o the_o heaven_n under_o our_o foot_n make_v right_a angle_n with_o the_o horizon_n under_o the_o earth_n as_o the_o zenith_n do_v above_o and_o therefore_o be_v opposite_a unto_o the_o zenith_n the_o declination_n of_o the_o sun_n be_v the_o ark_n of_o a_o circle_n contain_v betwixt_o the_o ecliptic_a and_o the_o equinoctial_a make_v right_a angle_n with_o the_o equinoctial_a but_o the_o declination_n of_o a_o star_n be_v the_o ark_n of_o a_o circle_n let_v fall_v from_o the_o centre_n of_o a_o star_n perpendicular_o unto_o the_o equinoctial_a the_o latitude_n be_v the_o ark_n of_o a_o circle_n contain_v betwixt_o the_o centre_n of_o any_o star_n and_o the_o ecliptic_a line_n make_v right_a angle_n with_o the_o ecliptic_a and_o count_v either_o northward_o or_o southward_o according_a to_o the_o situation_n of_o the_o sea_n whether_o it_o be_v near_o unto_o the_o north_n or_o south_n pole_n of_o the_o ecliptic_a the_o latitude_n of_o a_o town_n or_o country_n be_v the_o height_n of_o the_o pole_n above_o the_o horizon_n or_o the_o distance_n betwixt_o the_o zenith_n and_o the_o equinoctial_a the_o longitude_n of_o a_o star_n be_v that_o part_n of_o the_o ecliptic_a which_o be_v contain_v betwixt_o the_o star_n place_n in_o the_o ecliptic_a and_o the_o beginning_n of_o aries_n count_v they_o from_o aries_n according_a to_o the_o succession_n or_o order_n of_o the_o sign_n the_o longitude_n of_o a_o town_n or_o country_n be_v the_o number_n of_o degree_n which_o be_v contain_v in_o the_o equinoctial_a betwixt_o the_o meridian_n that_o pass_v over_o the_o isle_n of_o azores_n from_o whence_o the_o beginning_n of_o longitude_n be_v account_v eastward_o and_o the_o meridian_n that_o pass_v over_o the_o town_n or_o country_n desire_v the_o altitude_n of_o the_o sun_n or_o star_n be_v the_o arch_n of_o a_o circle_n contain_v betwixt_o the_o centre_n of_o the_o sun_n or_o any_o star_n and_o the_o horizon_n the_o amplitude_n be_v that_o part_n of_o the_o horizon_n which_o be_v betwixt_o the_o two_o east_n or_o west_n point_n and_o the_o point_n of_o the_o compass_n that_o the_o sun_n or_o any_o star_n do_v rise_v or_o set_v upon_o azimuth_n be_v circle_n which_o meet_v together_o in_o the_o zenith_n and_o cross_v the_o horizon_n at_o right_a angle_n and_o serve_v to_o find_v the_o point_n of_o the_o compass_n which_o the_o sun_n be_v upon_o at_o any_o hour_n of_o the_o day_n or_o the_o azimuth_n of_o the_o sun_n or_o star_n be_v a_o part_n of_o the_o horizon_n contain_v betwixt_o the_o true_a east_n or_o west_n point_n and_o that_o azimuth_n which_o pass_v by_o the_o centre_n of_o the_o same_o star_n to_o the_o horizon_n the_o right_a asention_n of_o a_o star_n be_v that_o part_n of_o the_o equinoctial_a that_o rise_v or_o set_v with_o the_o star_n in_o a_o right_a sphere_n or_o in_o a_o oblique_a sphere_n it_o be_v that_o portion_n of_o the_o equinoctial_a contain_v betwixt_o the_o beginning_n of_o aries_n and_o that_o place_n of_o the_o equinoctial_a which_o pass_v by_o the_o meridian_n with_o the_o centre_n of_o the_o star_n the_o oblique_a ascension_n be_v a_o part_n of_o the_o equinoctial_a contain_v betwixt_o the_o beginning_n of_o aries_n and_o that_o part_n of_o the_o equinoctial_a that_o rise_v with_o the_o centre_n of_o a_o star_n in_o a_o oblique_a sphere_n the_o difference_n ascentional_a be_v the_o difference_n betwixt_o the_o right_a and_o oblique_a ascension_n or_o it_o be_v the_o number_n of_o degree_n contain_v betwixt_o that_o place_n of_o the_o equinoctial_a that_o rise_v with_o a_o centre_n of_o a_o star_n and_o that_o place_n of_o the_o equinoctial_a that_o come_v unto_o the_o meridian_n with_o the_o centre_n of_o the_o same_o star_n almicanterah_n be_v circle_n draw_v parallel_n unto_o the_o horizon_n one_o over_o another_o until_o you_o come_v unto_o the_o zenith_n these_o be_v circle_n that_o do_v measure_v the_o elevation_n of_o the_o pole_n or_o height_n of_o the_o sun_n moon_n or_o star_n above_o the_o horizon_n which_o be_v call_v the_o almicanter_n of_o the_o sun_n moon_n or_o star_n the_o ark_n of_o the_o sun_n or_o star_n almicanter_n be_v a_o portion_n of_o a_o azimuth_n contain_v betwixt_o that_o almicanter_n which_o pass_v through_o the_o centre_n of_o the_o star_n and_o the_o horizon_n a_o general_a table_n for_o the_o tide_n in_o all_o place_n the_o moon_n age_n hour_n and_o minute_n to_o be_v add_v the_o moon_n age_n hour_n and_o minute_n to_o be_v add_v day_n degree_n minute_n day_n degree_n minute_n 1_o 0_o 48_o 16_o 0_o 48_o 2_o 1_o 36_o 17_o 1_o 36_o 3_o 2_o 24_o 18_o 2_o 24_o 4_o 3_o 21_o 19_o 3_o 12_o 5_o 4_o 0_o 20_o 4_o 0_o 6_o 4_o 48_o 21_o 4_o 48_o 7_o 5_o 36_o 22_o 5_o 36_o 8_o 6_o 24_o 23_o 6_o 24_o 9_o 7_o 12_o 24_o 7_o 12_o 10_o 8_o 0_o 25_o 8_o 0_o 11_o 8_o 48_o 26_o 8_o 48_o 12_o 9_o 36_o 27_o 9_o 36_o 13_o 10_o 24_o 28_o 10_o 24_o 14_o 11_o 12_o 29_o 11_o 12_o 15_o 0_o 0_o 30_o 0_o 0_o the_o use_n of_o the_o table_n of_o the_o tide_n first_o it_o be_v to_o be_v understand_v that_o by_o the_o swift_a motion_n of_o the_o first_o mover_n the_o moon_n and_o all_o the_o rest_n of_o the_o star_n and_o planet_n be_v turn_v about_o the_o world_n in_o 24_o hour_n upon_o which_o swift_a motion_n of_o the_o moon_n the_o daily_a motion_n of_o the_o sea_n do_v depend_v which_o motion_n of_o the_o sea_n fall_v not_o out_o always_o at_o one_o hour_n the_o reason_n thereof_o be_v because_o of_o the_o swift_a motion_n of_o the_o moon_n in_o regard_n she_o go_v almost_o 13_o degree_n in_o 24_o hour_n and_o the_o sun_n move_v scarce_o one_o degree_n which_o give_v every_o day_n 12_o degree_n that_o the_o moon_n come_v slow_a to_o any_o point_n in_o the_o heaven_n than_o the_o sun_n which_o 12_o degree_n make_v 48_o minute_n of_o time_n for_o the_o difference_n of_o every_o full_a sea_n according_a unto_o the_o middle_a motion_n of_o the_o moon_n which_o difference_n be_v here_o set_v down_o in_o this_o table_n for_o every_o day_n of_o the_o moon_n age_n therefore_o if_o you_o will_v know_v the_o full_a sea_n at_o any_o place_n in_o the_o world_n first_o you_o must_v know_v at_o what_o hour_n it_o be_v full_a sea_n at_o the_o new_a or_o full_a moon_n which_o hour_n and_o minute_n keep_v in_o mind_n then_o seek_v the_o age_n of_o the_o moon_n as_o be_v before_o teach_v and_o with_o the_o number_n of_o her_o age_n enter_v this_o table_n under_o the_o title_n of_o the_o moon_n age_n and_o have_v find_v her_o age_n in_o the_o table_n against_o it_o you_o shall_v find_v the_o hour_n and_o minute_n which_o be_v to_o be_v add_v unto_o the_o time_n that_o the_o moon_n make_v full_a sea_n in_o any_o place_n and_o the_o whole_a number_n of_o hour_n and_o minute_n be_v the_o time_n that_o the_o moon_n make_v full_a sea_n in_o any_o place_n upon_o the_o day_n desire_v as_o for_o ensample_n i_o desire_v to_o know_v the_o full_a sea_n at_o london_n bridge_n upon_o the_o 13_o of_o july_n 1624._o the_o age_n of_o the_o moon_n be_v find_v as_o before_o be_v eight_o day_n then_o in_o the_o table_n i_o find_v eight_o day_n and_o against_o it_o 6_o hour_n and_o 24_o minute_n which_o be_v add_v unto_o 3_o hour_n the_o full_a sea_n upon_o the_o change_n day_n give_v 9_o a_o clock_n 24_o minute_n for_o the_o time_n at_o the_o full_a sea_n upon_o the_o 13_o day_n of_o july_n 1624._o finis_fw-la
north_n and_o by_o east_n and_o 41_o minute_n eastward_o of_o the_o first_o ship_n take_v 11_o degree_n 56_o minute_n from_o your_o scale_n of_o cord_n and_o place_v they_o from_o k_o unto_o i_o upon_o the_o quadrant_n kih_o then_o from_o f_o draw_v the_o line_n if_o and_o upon_o the_o line_n fi_o place_n the_o distance_n that_o you_o must_v bring_v the_o second_o ship_n from_o the_o first_o which_o be_v 40_o league_n and_o two_o mile_n from_o f_o unto_o m_o so_o be_v m_o the_o place_n of_o your_o second_o ship_n then_o from_o m_o draw_v the_o line_n ml_o parallel_n unto_o fg_o cut_v the_o line_n agl_o in_o l_o then_o draw_v the_o line_n ma_o cut_v the_o quadrant_n bde_o in_o d_o so_o shall_v the_o arch_n de_o be_v the_o course_n that_o the_o second_o ship_n must_v run_v to_o bring_v herself_o 40_o league_n and_o two_o mile_n north_n and_o by_o east_n and_o 41_o minute_n east_n of_o the_o first_o ship_n then_o to_o know_v what_o you_o have_v alter_v the_o latitude_n first_o take_v the_o distance_n la_fw-fr and_o apply_v it_o unto_o the_o scale_n of_o equal_a part_n and_o you_o shall_v find_v it_o to_o be_v 80_o league_n which_o be_v just_a 4_o degree_n which_o you_o have_v alter_v your_o latitude_n or_o pole_n elevation_n which_o 4_o degree_n add_v unto_o the_o latitude_n you_o depart_v from_o it_o make_v 51_o degree_n 56_o minute_n for_o the_o latitude_n that_o your_o second_o ship_n be_v in_o then_o take_v the_o distance_n lm_o and_o apply_v it_o to_o the_o scale_n it_o give_v 60_o league_n then_o open_v your_o compass_n unto_o the_o distance_n of_o the_o middle_a latitude_n which_o be_v 39_o degree_n 51_o minute_n of_o the_o cord_n and_o apply_v it_o unto_o the_o first_o line_n of_o longitude_n and_o it_o give_v 12_o league_n and_o two_o mile_n and_o a_o half_a to_o alter_v one_o degree_n of_o longitude_n in_o that_o parallel_n then_o set_v one_o foot_n of_o your_o compass_n in_o 12_o league_n two_o mile_n and_o a_o half_n in_o the_o second_o line_n of_o longitude_n extend_v the_o other_o foot_n unto_o one_o degree_n and_o with_o the_o same_o distance_n upon_o the_o same_o line_n set_v one_o foot_n of_o the_o compass_n in_o 60_o league_n the_o league_n that_o you_o be_v from_o the_o meridian_n and_o the_o other_o foot_n will_v extend_v unto_o four_o degree_n forty_o minute_n which_o be_v the_o difference_n of_o the_o longitude_n chap._n xvi_o to_o find_v by_o demonstration_n how_o many_o mile_n or_o minute_n of_o any_o parallel_n do_v answer_n unto_o one_o degree_n of_o the_o equinoctial_a let_v the_o latitude_n give_v be_v 58_o degree_n 54_o minute_n therefore_o have_v draw_v the_o quadrant_n abc_o from_o b_o upon_o the_o cord_n bec_o set_v the_o latitude_n of_o the_o place_n 58_o degree_n 54_o minute_n unto_o the_o point_n d._n then_o from_o the_o point_n d_o draw_v the_o line_n df_o parallel_n unto_o ba_o so_o shall_v the_o length_n of_o the_o line_n df_o be_v the_o number_n of_o mile_n which_o answer_v unto_o one_o degree_n of_o longitude_n in_o the_o parallel_n of_o 58_o degree_n 5_o minute_n which_o be_v dem_n 5_o apply_v unto_o your_o scale_n of_o equal_a part_n give_v thirty_o one_o mile_n so_o likewise_o the_o ark_n be_v be_v the_o latitude_n of_o 52_o degree_n end_v in_o the_o point_n e_o give_v the_o line_n eg_o for_o the_o mile_n that_o answer_v unto_o one_o degree_n of_o longitude_n in_o the_o parallel_n of_o 52_o degree_n be_v find_v by_o the_o scale_n to_o be_v 36_o mile_n and_o 56_o second_o or_o 56_o 60_o of_o a_o mile_n the_o second_o book_n of_o the_o plain_a scale_n wherein_o be_v declare_v the_o definition_n of_o the_o sphere_n a_o description_n of_o the_o six_o great_a circle_n and_o also_o of_o the_o four_o lesser_a circle_n and_o last_o of_o all_o certain_a question_n astronomical_a perform_v by_o the_o say_a scale_n chap._n i._n de_fw-la sphaera_fw-la the_o figure_n of_o the_o plain_a scale_n aspheare_n according_a to_o the_o description_n of_o theodosius_n be_v a_o certain_a solid_a superficies_n in_o who_o middle_a be_v a_o point_n from_o which_o all_o line_n draw_v unto_o the_o circumference_n be_v equal_a which_o point_n be_v call_v the_o centre_n of_o the_o sphere_n by_o which_o centre_n a_o right_a line_n be_v draw_v and_o extend_v himself_o on_o either_o side_n unto_o that_o part_n of_o the_o circumference_n whereupon_o the_o sphere_n be_v turn_v be_v call_v axis_n sphaera_fw-la or_o the_o axletree_n of_o the_o world_n a_o sphere_n accidental_o be_v divide_v into_o two_o part_n that_o be_v to_o say_v in_fw-la sphaeram_fw-la rectam_fw-la and_o spharam_fw-la obliquam_fw-la sphera_fw-la recta_fw-la or_o a_o right_a sphere_n be_v only_o unto_o those_o that_o dwell_v under_o the_o equinoctial_a quibus_fw-la neuter_fw-la polorum_fw-la magis_fw-la altero_fw-la elevatur_fw-la that_o be_v to_o who_o neither_o of_o the_o pole_n of_o the_o world_n be_v see_v that_o lie_v hide_v in_o the_o horizon_n sphaera_fw-la obliqua_fw-la or_o a_o oblique_a sphere_n be_v unto_o those_o that_o inhabit_v on_o either_o side_n of_o the_o equinoctial_a unto_o who_o one_o of_o the_o pole_n be_v ever_o see_v and_o the_o other_o hide_v under_o the_o horizon_n the_o circle_n whereupon_o the_o sphere_n be_v compose_v be_v divide_v into_o two_o sort_n that_o be_v to_o say_v in_fw-la circulos_fw-la majores_fw-la et_fw-la minores_fw-la circuli_fw-la majores_fw-la or_o the_o great_a circle_n be_v those_o that_o divide_v the_o sphere_n into_o two_o equal_a part_n and_o they_o be_v in_o number_n six_o viz._n the_o equinoctial_a the_o middle_a of_o the_o zodiac_n or_o the_o ecliptic_a line_n the_o two_o colour_n the_o meridian_n and_o the_o horizon_n minores_fw-la vero_fw-la circuli_fw-la or_o the_o lesser_a circle_n be_v such_o as_o divide_v the_o sphere_n into_o two_o part_n unequal_o and_o they_o be_v four_o in_o number_n as_o the_o tropic_a of_o cancer_n the_o tropic_a of_o capricorn_n the_o circle_n arctic_a and_o the_o circle_n antarctic_a chap._n ii_o of_o the_o four_o great_a circle_n the_o equinoctial_a be_v a_o circle_n that_o cross_v the_o pole_n of_o the_o world_n at_o right_a angle_n and_o divide_v the_o sphere_n into_o two_o equal_a part_n and_o be_v call_v the_o equinoctial_a because_o when_o the_o sun_n come_v unto_o it_o which_o be_v twice_o in_o the_o year_n viz._n in_fw-la principio_fw-la arietus_n and_o libra_n that_o be_v march_n and_o september_n the_o day_n and_o night_n be_v equal_a throughout_o the_o whole_a world_n whereupon_o it_o be_v call_v equator_n dici_fw-la et_fw-la noctis_fw-la the_o equal_a proportioner_n of_o the_o day_n and_o night_n artificial_a and_o in_o the_o figure_n be_v describe_v by_o the_o line_n caesar_o the_o meridian_n be_v a_o great_a circle_n pass_v through_o the_o pole_n of_o the_o world_n and_o the_o pole_n of_o the_o horizon_n or_o zenith_n point_n over_o our_o head_n and_o be_v so_o call_v because_o that_o in_o any_o time_n of_o the_o year_n or_o in_o any_o place_n of_o the_o world_n when_o the_o sun_n by_o the_o motion_n of_o the_o heaven_n come_v unto_o that_o circle_n it_o be_v noon_n or_o 12_o of_o the_o clock_n and_o it_o be_v to_o be_v understand_v that_o all_o town_n and_o place_n that_o lie_v east_n and_o west_n one_o of_o another_o have_v every_o one_o a_o several_a meridian_n but_o all_o place_n that_o lie_v north_n and_o south_n one_o of_o another_o have_v one_o and_o the_o same_o meridian_n this_o circle_n be_v declare_v in_o the_o figure_n follow_v by_o the_o circle_n bcde_o the_o horizon_n be_v a_o circle_n divide_v the_o superior_a hemisphere_n from_o the_o inferior_a whereupon_o it_o be_v call_v horizon_n that_o be_v to_o say_v the_o bond_n of_o sight_n or_o the_o far_a distance_n that_o the_o eye_n can_v see_v and_o therefore_o it_o be_v also_o call_v circulus_fw-la hemispheri_fw-la the_o orison_n be_v divide_v into_o two_o sort_n viz._n rectus_fw-la and_o obliqun_fw-la a_o right_a and_o a_o oblique_a or_o a_o decline_a horizon_n whereof_o those_o have_v a_o right_a horizon_n which_o have_v the_o equinoctial_a for_o their_o zenith_n and_o the_o pole_n of_o the_o world_n in_o their_o horizon_n because_o the_o horizon_n hide_v both_o the_o pole_n of_o the_o world_n be_v a_o circle_n suppose_a to_o be_v draw_v by_o the_o pole_n of_o the_o world_n divide_v the_o equinoctial_a at_o right_a angle_n as_o in_o the_o figure_n follow_v you_o may_v plain_o see_v first_o imagine_v the_o circle_n xvyw_o to_o be_v the_o earth_n and_o those_o that_o inhabit_v at_o the_o point_n v_o have_v the_o line_n bd_o for_o their_o horizon_n cut_v the_o equinoctial_a caesar_o at_o right_a angle_n in_o a_o and_o therefore_o be_v call_v horizon_n rectus_fw-la et_fw-la sphaerarecta_fw-la a_o right_a horizon_n and_o a_o right_a sphere_n those_o have_v a_o oblique_a sphere_n or_o a_o oblique_a horizon_n to_o who_o
elevation_n of_o the_o pole_n to_o be_v 51_o deg._n 32_o min._n which_o must_v be_v place_v upon_o the_o circle_n from_o d._n unto_o f._n then_o from_o the_o point_n f._n by_o the_o centre_n a._n draw_v the_o line_n f._n a._n g._n represent_v the_o pole_n of_o the_o world_n f._n be_v the_o north_n pole_n and_o g._n the_o south_n pole_n then_o subtract_v 51_o deg._n 32_o min._n from_o 90._o deg._n and_o the_o remainder_n be_v the_o height_n of_o the_o equinoctial_a which_o be_v 38_o deg._n 28_o min._n which_o must_v be_v place_v upon_o the_o circle_n from_o the_o horizon_n b._n unto_o the_o point_n i_o â—_z then_o from_o i_o by_o the_o centre_n a._n draw_v the_o line_n i._n a._n h._n represent_v the_o equinoctial_a circle_n then_o from_o i_o unto_o m._n set_v the_o declination_n of_o the_o sun_n be_v here_o suppose_v 14_o deg._n 52._o min._n north_n then_o from_o the_o point_n m._n draw_v the_o line_n or_o parallel_n of_o declination_n m._n i._n n._n parallel_n unto_o the_o equator_n i._n a._n h._n cut_v the_o horizon_n b._n d._n in_o t._n then_o from_o t._n raise_v the_o perpendicular_a t._n v._n cut_v the_o circle_n b._n c._n d._n e._n in_o v_o so_o shall_v the_o distance_n c_o v._n be_v the_o true_a amplitude_n of_o the_o sun_n desire_v which_o here_o be_v find_v to_o be_v 24_o deg._n 21_o min._n north_n chap._n vii_o by_o the_o amplitude_n of_o the_o sun_n to_o find_v the_o variation_n of_o the_o compass_n have_v find_v the_o amplitude_n of_o the_o sun_n by_o the_o last_o chapter_n first_o observe_v with_o a_o compass_n or_o rather_o with_o a_o semicircle_n upon_o what_o degree_n and_o minute_n the_o sun_n rise_v or_o set_v begin_v to_o reckon_v from_o the_o east_n or_o west_n and_o end_v at_o the_o north_n or_o south_n at_o 90_o degree_n and_o when_o you_o have_v diligent_o observe_v the_o magnetical_a rise_n or_o set_v by_o the_o semicircle_n or_o by_o some_o other_o like_o fit_v instrument_n and_o also_o the_o true_a amplitude_n find_v as_o be_v declare_v in_o the_o last_o chapter_n the_o difference_n of_o these_o two_o amplitude_n be_v the_o variation_n of_o the_o compass_n but_o when_o the_o sun_n rise_v upon_o the_o same_o degree_n of_o the_o compass_n as_o be_v find_v by_o the_o scale_n the_o variation_n be_v nothing_o but_o the_o needle_n point_v direct_o unto_o the_o pole_n of_o the_o world_n which_o by_o master_n mulinux_n be_v affirm_v to_o be_v at_o the_o westernmost_a part_n of_o saint_n michael_n one_o of_o the_o island_n of_o the_o v_n from_o whence_o he_o will_v have_v the_o longitude_n reckon_v second_o when_o the_o sun_n be_v in_o the_o equinoctial_a circle_n where_o he_o have_v no_o amplitude_n look_v what_o distance_n the_o compass_n make_v the_o sun_n to_o rise_v from_o the_o east_n or_o west_n of_o the_o compass_n the_o same_o distance_n be_v the_o compass_n variation_n from_o the_o north_n or_o south_n three_o if_o the_o sun_n rise_v more_o to_o the_o south_n of_o the_o compass_n or_o set_v more_o to_o the_o north_n by_o the_o compass_n than_o be_v show_v by_o the_o scale_n the_o difference_n betwixt_o the_o amplitude_n give_v by_o the_o scale_n and_o the_o amplitude_n give_v by_o the_o needle_n be_v the_o variation_n of_o the_o compass_n from_o the_o north_n westward_o four_o if_o the_o compass_n show_v the_o sun_n to_o rise_v more_o northward_o of_o set_v more_o southward_o than_o be_v show_v by_o the_o scale_n the_o difference_n be_v the_o variation_n of_o the_o compass_n from_o the_o north_n eastward_o five_o if_o the_o scale_n show_v the_o amplitude_n of_o the_o sun_n rise_v southerly_a and_o the_o compass_n show_v it_o to_o be_v northerly_a add_v both_o the_o amplitude_n together_o and_o they_o show_v you_o the_o variation_n westerly_a chap._n viii_o the_o place_n of_o the_o sun_n be_v give_v to_o find_v his_o declination_n by_o a_o whole_a circle_n according_a unto_o the_o right_a demonstration_n first_o draw_v the_o circle_n b._n c._n d._n e._n then_o draw_v the_o horizon_n b._n a._n d._n and_o then_o the_o equinoctial_a i._n a._n h._n as_o be_v before_o teach_v and_o then_o the_o tropic_a of_o cancer_n k._n l._n 23_o degree_n and_o a_o half_a from_o the_o equinoctial_a then_o draw_v the_o tropic_a of_o capricorn_n p._n o._n of_o like_a distance_n from_o the_o equinoctial_a and_o after_o from_o k._n to_o o._n draw_v the_o ecliptic_a line_n k._n a_o o._n and_o when_o you_o have_v thus_o lay_v down_o the_o sphere_n suppose_v the_o sun_n to_o be_v in_o the_o ten_o degree_n of_o taurus_n at_o which_o time_n his_o declination_n be_v desire_v and_o in_o regard_n the_o sun_n be_v more_o near_o unto_o the_o tropical_a point_n cancer_n then_o unto_o capricorn_n first_o find_v how_o many_o degree_n he_o be_v from_o the_o tropic_a of_o cancer_n and_o you_o shall_v find_v he_o to_o be_v 50_o degree_n therefore_o take_v with_o your_o compass_n 50_o degree_n from_o the_o cord_n and_o apply_v it_o from_o the_o tropical_a point_n cancer_n at_o k._n unto_o v._n upon_o one_o side_n and_o upon_o p._n on_o the_o other_o side_n then_o draw_v the_o line_n v._n p._n cut_v the_o ecliptic_a k._n o._n in_o the_o point_n r._n then_o from_o r._n draw_v the_o line_n m._n r._n n._n parallel_n unto_o the_o equinoctial_a i._n a._n h._n and_o cut_v the_o quadrant_n b._n c._n in_o the_o point_n m._n so_o shall_v the_o ark_n m._n i._n be_v the_o declination_n of_o the_o sun_n desire_v which_o be_v apply_v unto_o your_o scale_n give_v you_o 14_o degree_n and_o 52_o minute_n chap._n ix._o the_o elevation_n of_o the_o pole_n and_o declination_n of_o the_o sun_n give_v to_o find_v his_o height_n in_o the_o vertical_a circle_n the_o pole_n be_v elevate_v 51_o deg._n 32_o minute_n the_o declination_n of_o the_o sun_n be_v 14_o degree_n 52_o minute_n north_n his_o height_n in_o the_o vertical_a circle_n be_v find_v as_o follow_v first_o according_a unto_o the_o former_a chapter_n draw_v the_o circle_n b._n c._n d._n e._n then_o the_o horizon_n b._n a._n d._n and_o after_o the_o vertical_a line_n c._n a._n e._n then_o the_o pole_n of_o the_o world_n f._n g._n and_o likewise_o the_o equator_n i._n a._n h._n this_o be_v do_v place_v the_o declination_n of_o the_o sun_n 14_o degree_n 52_o minute_n upon_o the_o circle_n from_o i._n unto_o m._n and_o also_o from_o h._n unto_o n._n then_o draw_v the_o line_n m._n n._n cut_v the_o line_n c_o a._n e._n in_o s._n then_o from_o s._n draw_v the_o line_n s._n w._n parallel_n unto_o the_o horizon_n b._n a._n d._n cut_v the_o meridian_n circle_n b._n c._n d._n e._n in_o w._n so_o shall_v the_o distance_n d._n w._n be_v the_o height_n of_o the_o sun_n in_o the_o vertical_a circle_n for_o the_o time_n demand_v which_o by_o this_o proposition_n be_v find_v to_o be_v 19_o degree_n and_o 8_o minute_n chap._n x._o the_o elevation_n of_o the_o pole_n and_o the_o amplitude_n of_o the_o sun_n be_v give_v to_o find_v the_o declination_n the_o elevation_n of_o the_o pole_n be_v 51_o deg._n 32_o min._n the_o sun_n amplitude_n be_v 24_o deg._n 21_o minute_n the_o declination_n be_v find_v as_o follow_v by_o the_o eight_o demonstration_n dem_n 8_o first_o upon_o the_o centre_n a._n draw_v the_o circle_n b._n c._n d._n e._n then_o draw_v the_o line_n b._n a._n d._n represent_v the_o horizon_n divide_v the_o circle_n into_o two_o equal_a part_n then_o draw_v the_o line_n c_o a_o e_o perpendicular_a to_o b_o a_o d._n represent_v the_o east_n and_o west_n point_n of_o the_o compass_n then_o place_v the_o elevation_n of_o the_o pole_n 51_o degree_n and_o 32_o minute_n from_o d_o unto_o f_o from_o f_o by_o the_o centre_n a_o draw_v the_o line_n f_o a_o g_o which_o let_v be_v the_o pole_n or_o axletree_n of_o the_o world_n then_o from_o b_o unto_o i_o and_o from_o d_o unto_o h_o set_v the_o compliment_n of_o the_o pole_n elevation_n which_o shall_v represent_v the_o equinoctial_a in_o regard_n it_o make_v right_a angle_n with_o the_o pole_n of_o the_o world_n in_o the_o centre_n a._n then_o from_o c_o unto_o v_o place_v the_o amplitude_n of_o the_o sun_n which_o be_v 24_o degree_n and_o 21_o minute_n then_o from_o v._n let_v fall_v the_o perpendicular_a five_o t_o cut_v the_o horizon_n b_o a_o d_o in_o the_o point_n t_o then_o from_o the_o point_n t_o draw_v the_o line_n m_o t_o n_o parallel_n unto_o the_o equinoctial_a i_o a_o h_o and_o cut_v the_o circle_n b_o c_o d_o e_o in_o the_o point_n m_o and_o n_o so_o let_v the_o distance_n of_o i_o and_o m_o or_o h_o and_o n_o be_v the_o declination_n of_o the_o sun_n which_o be_v desire_v which_o be_v apply_v unto_o your_o scale_n give_v you_o 14_o degree_n and_o 52_o minute_n chap._n xi_o