be_v 15_o deg_n count_v beyond_o 45_o towards_o the_o end_n below_z or_o beyond_o the_o horizon_n again_o as_o s._n ♋_o be_v 62_o degree_n from_o 45_o towards_o 00_o so_o be_v the_o other_o point_v 62_o degree_n below_o n_o take_v from_o 45_o viz._n at_o 76_o degree_n which_o be_v lay_v from_o n_o do_v overreach_v this_o little_a page_n so_o that_o to_o draw_v the_o tropic_a of_n ♑_o the_o point_n ♋_o being_n his_o opposite_a be_v 28_o degree_n from_o z_o or_o 62_o deg_n from_o saint_n and_o the_o other_o point_n of_o ♑_o on_o the_o north_n part_n of_o the_o meridian_n be_v 62_o degree_n count_v from_o 45_o double_o also_o or_o 28_o degree_n from_o 90_o the_o suppose_a end_n of_o the_o tangent_fw-la which_o be_v natural_o infinite_a be_v the_o tangent_fw-la of_o 76_o degree_n or_o the_o semi-tangent_a of_o 152_o read_v the_o tangent_n double_o from_o the_o centre_n which_o distance_n from_o the_o centre_n to_o the_o tangent_fw-la of_o 76_o or_o as_o half-tangents_a 152_o lay_v from_o z_o give_v the_o point_n ♑_o on_o the_o north-part_n of_o the_o meridian_n below_o the_o horizon_n the_o midst_n between_o which_o two_o point_n of_o ♑_o on_o the_o south_n and_o north_n part_n of_o the_o meridian_n be_v the_o centre_n to_o draw_v the_o tropic_a of_o capricorn_n again_o to_o illustrate_v this_o difficulty_n to_o draw_v the_o tropic_a of_o cancer_n the_o sun_n meridian-altitude_n in_o ♑_o his_o opposite_a sign_n be_v 15_o degree_n above_o the_o horizon_n on_o the_o south_n part_n of_o the_o meridian_n and_o 15_o degree_n below_o the_o horizon_n on_o the_o north-part_n of_o the_o meridian_n viz._n the_o extent_n from_o the_o centre_n to_o the_o tangent_fw-la of_o 52_o deg_n 30_o min._n or_o the_o semi-tangent_a of_o 105_o read_v it_o double_o be_v lay_v from_o z_o give_v the_o point_n ♋_o below_o the_o horizon_n the_o middle_n between_o which_o two_o point_n be_v the_o centre_n to_o draw_v the_o tropic_a of_o cancer_n again_o for_o the_o equinoctial_a or_o parallel_v of_o ♈_o the_o meridian_n altitude_n in_o ♈_o be_v 38-28_a and_o the_o meridian_n altitude_n likewise_o in_o ♎_o his_o opposite_a parallel_n be_v 38-28_a also_o so_o that_o if_o you_o count_v 38-28_a double_o beyond_o 45_o which_o will_v be_v at_o the_o tangent_fw-la of_o 64_o degree_n and_o 14_o minute_n and_o take_v from_o thence_o to_o the_o centre_n this_o distance_n lay_v from_o z_o shall_v give_v the_o point_n ae_n below_o the_o horizon_n and_o the_o the_o middle_n between_o the_o two_o point_n ae_n be_v the_o centre_n to_o draw_v the_o aequinoctial_a then_o for_o the_o hour-line_n first_o set_v off_o the_o semi-tangent_a of_o 38-28_a from_o z_o to_o p_o and_o the_o secant_fw-la of_o 38-28_a to_o the_o same_o radius_fw-la from_o z_o to_o l_o and_o draw_v the_o line_n l_o 45_o parallel_n to_o ewe_n then_o make_v pl_z a_o tangent_fw-la of_o 45_o degree_n and_o lay_v off_o the_o tangent_n of_o 15-30_a and_o 45_o from_o l_o both-waye_n as_o you_o see_v in_o the_o figure_n also_o as_o the_o sector_n stand_v take_v out_o the_o =_o tangent_n of_o 60_o and_o 75_o several_o and_o turn_v they_o four_o time_n from_o l_o both-waye_n and_o note_v those_o point_n with_o 6_o 7_o 8_o 9_o 10_o 11._o last_o set_v one_o point_n of_o the_o compass_n in_o l_o and_o open_v the_o other_o to_o p_o and_o draw_v the_o line_n wpe_n for_o the_o hour_n of_o 6._o again_o set_v one_o point_n in_o 7-15_a degree_n from_o l_o and_o open_v the_o other_o to_o p_o and_o draw_v the_o hour-line_n 5_o p_o 5_o set_v the_o same_o extent_n also_o in_o 7_o or_o 5_o on_o the_o other_o side_n of_o l_o and_o draw_v the_o hour-line_n 7_o p_o 7_o as_o the_o figure_n show_v then_o set_v one_o point_n of_o the_o compass_n in_o 8_o 30_o degree_n from_o l_o and_o open_v the_o other_o point_n to_o p_o and_o draw_v the_o hour-line_n 8_o p_o 8_o and_o remove_v it_o to_o the_o other_o side_n of_o l_o and_o draw_v the_o hour-line_n 4_o p_o 4_o and_o so_o for_o all_o the_o rest_n in_o order_n thus_o have_v draw_v the_o figure_n to_o draw_v line_n therein_o which_o shall_v true_o represent_v any_o plain_n whatsoever_o observe_v the_o follow_a rule_n 1._o the_o horizontal-plain_a be_v represent_v by_o the_o circle_n e.s.w.n._n 2._o a_o direct_a south_n or_o north-diall_n be_v represent_v by_o the_o line_n e.z.w._n 4._o a_o east_n or_o west_n plain_a be_v represent_v by_o the_o meridian-line_n of_o 12_o viz._n s._n &_o n._n 5._o a_o polar_a plain_n be_v represent_v by_o the_o hour_n of_o 6_o viz._n the_o line_n e.p.w._n 6._o a_o equinoctial_a plain_n be_v represent_v by_o the_o equinoctial-line_n e.ae.w._n 7._o any_o direct_a recline_a or_o inclining-plain_a between_o the_o two_o last_o be_v call_v a_o direct_a recliner_n who_o pole_n be_v always_o in_o the_o meridian_n and_o be_v represent_v by_o any_o recline_a circle_n as_o the_o two_o circle_n w._n ♋_o e._n and_o e._n ☉_o w._n do_v show_v 8._o a_o east_n or_o west_n recliner_n or_o incliner_n represent_v by_o the_o circle_n n.f.s._n 9_o a_o decline_a and_o recline_v or_o incline_v polar-plain_a that_o be_v it_o so_o decline_v and_o recline_v or_o incline_v as_o to_o lie_v parallel_n to_o the_o pole_n as_o the_o circle_n 8_o p_o 8_o do_v represent_v 10._o a_o decline_a reclining-plain_a that_o so_o decline_v and_o recline_v as_o not_o to_o fall_v in_o the_o pole_n or_o equinoctial_a as_o general_o they_o will_v do_v as_o the_o circle_n 60_o g_z 60_o do_v represent_v which_o decline_v from_o the_o south-eastwards_a and_o recline_v 62_o deg_n which_o kind_n of_o plain_n be_v various_a and_o infinite_a yet_o confine_v to_o six_o variety_n as_o afterward_o now_o the_o way_n of_o draw_v these_o scheme_n to_o represent_v these_o variety_n be_v brief_o thus_o by_o the_o sector_n first_o to_o the_o radius_fw-la of_o the_o small_a tangent_n draw_v the_o circle_n n._n e._n s._n w._n observe_v this_o method_n if_o it_o be_v a_o south_n recliner_n to_o set_v the_o letter_n n_o above_o and_o e_z on_o the_o right_a hand_n and_o contrary_o in_o north_n recliner_n for_o we_o meddle_v not_o with_o incliner_n till_o afterward_o and_o always_o observe_v that_o a_o south_n incliner_n be_v the_o same_o with_o a_o north_n recliner_n and_o the_o contrary_a then_o cross_v that_o circle_n with_o two_o diameter_n precise_o in_o the_o centre_n as_o the_o letter_n show_v then_o according_a to_o your_o plain_n declination_n from_o north_n or_o south_n towards_o either_o east_n or_o west_n set_v off_o the_o declination_n with_o a_o line_n of_o chord_n or_o sin_n as_o before_o be_v show_v and_o draw_v that_o line_n for_o the_o perpendicule_a line_n of_o the_o plain_a and_o lay_v the_o same_o distance_n as_o much_o from_o e._n and_o w._n draw_v another_o line_n perpendicule_a to_o the_o former_a represent_v the_o plain_a then_o on_o the_o first_o line_n viz._n the_o plain_n perpendicule_a lay_v off_o from_o z_o the_o half_a tangent_fw-la of_o the_o plain_n reclination_n from_o z_o to_o e_z and_o the_o half_a tangent_fw-la of_o the_o compliment_n thereof_o from_o z_o to_o q_n the_o contrary_a way_n and_o the_o whole_a tangent_fw-la of_o the_o compliment_n thereof_o from_o z_o contrary_a to_o e_o on_o the_o same_o line_n extend_v for_o a_o centre_n to_o draw_v the_o recline_a circle_n that_o represent_v the_o plain_a last_o you_o must_v draw_v a_o circle_n through_o q_o and_o p_o p_o be_v always_o the_o semi-tangent_a of_o the_o compliment_n of_o the_o latitude_n lay_v always_o from_o z_o towards_o n_o for_o the_o north_n pole_n so_o as_o to_o cut_v the_o primitive_a circle_n n.e._n s.w._n into_o two_o equal_a part_n as_o be_v show_v in_o the_o 10_o proposition_n of_o the_o three_o chapter_n part_n of_o which_o line_n do_v represent_v the_o stile-line_n of_o the_o dial_n which_o last_o work_n shall_v be_v again_o show_v in_o the_o example_n example_n to_o draw_v the_o scheam_n for_o a_o plain_a decline_a from_o the_o south_n to_o the_o west_n 35_o degree_n and_o recline_v 20_o degree_n for_o the_o latitude_n of_o 51-30_a first_o to_o the_o radius_fw-la of_o your_o small_a line_n of_o tangent_n be_v the_o latteral_a distance_n from_o the_o centre_n to_o 45_o or_o large_a if_o you_o please_v draw_v the_o circle_n n.e.s.w._n represent_v the_o horizon_n cross_v it_o in_o the_o centre_n with_o the_o line_n n.s._n &_o w.e._n for_o the_o north_n and_o south_n and_o east_n and_o west_n line_n then_o take_v out_o the_o latteral_a tangent_fw-la of_o half_a the_o latitude_n viz._n 19-15_a for_o 38-30_a call_v the_o tangent_fw-la of_o 10_o the_o half_a tangent_fw-la of_o 20_o and_o lay_v it_o from_o z_o at_o the_o centre_n to_o p_o for_o the_o pole-point_n then_o consider_v the_o declination_n of_o your_o plain_n and_o which_o way_n as_o here_o 35_o
then_o to_o any_o one_o whole_a hour_n as_o suppose_v the_o hour-line_n of_o 3_o draw_v two_o =_o line_n equal_o distant_a on_o both_o side_n the_o line_n of_o 3_o as_o ik_fw-mi lm_o then_o count_z any_o way_n 3_o hour_n and_o 6_o hour_n from_o 3_o as_o here_o 12_o and_o 9_o so_o as_o the_o =_o line_n may_v cross_v the_o 3_o remote_a hour_n as_o here_o you_o see_v 9_o and_o 12_o a_o clock_n hour-line_n do_v cross_v the_o =_o line_n at_o i_o and_o k_o then_o take_v the_o distance_n ik_fw-mi and_o lay_v on_o the_o hour-line_n of_o 3_o from_o c_o to_o n_o and_o draw_v inl_n =_o to_o 9_o c_z which_o work_n do_v constitute_v the_o parallellogram_n kilm_n then_o last_o make_v ki_v and_o ni_fw-fr =_o tangent_n of_o 45_o and_o pâ—ick_v off_o every_o hour_n half_a and_o quarter_n and_o minute_n if_o you_o please_v on_o the_o two_o line_n ik_fw-mi and_o il_fw-fr from_o k_o and_o n_o both_o way_n as_o before_o be_v already_o show_v in_o the_o erect_a decliner_n note_v also_o that_o to_o supply_v the_o defect_n on_o the_o other_o side_n when_o the_o point_n m_o falls_z out_z of_o the_o plain_a the_o distance_n from_o i_o to_o the_o hour-point_n from_o 11_o will_v reach_v from_o l_o to_o 7_o and_o from_o i_o to_o 10_o from_o l_o to_o 8._o this_o be_v general_a in_o all_o dial_n also_o note_n if_o you_o like_v not_o to_o lay_v off_o the_o â—irst_n hour_n by_o the_o tangent_n have_v make_v the_o table_n as_o before_o you_o may_v soon_o find_v the_o hour-arks_a on_o the_o plain_a for_o 3_o hour_n as_o â—ere_z 3_o 12_o and_o 9_o or_o 4_o 1_o and_o 8_o which_o â—ould_v have_v make_v the_o parallellogram_n more_o square_a and_o consequent_o more_o better_a and_o â—â—en_o to_o draw_v the_o rest_n by_o the_o sector_n thus_o â—ou_n may_v see_v how_o your_o work_n accord_v the_o â—ay_n by_o the_o table_n and_o contingent-line_n and_o 〈◊〉_d way_n by_o the_o sector_n on_o the_o parallellogram_n 〈◊〉_d by_o calculation_n &_o at_o last_o use_v the_o mystery_n 〈◊〉_d dial_v make_v plain_a and_o ready_a to_o a_o ordinary_a capacity_n of_o north_n decline_a recliner_n the_o other_o kind_n viz._n north_n decline_a recliner_n have_v also_o three_o variety_n as_o those_o â—_o that_o fall_n back_o or_o recline_v between_o the_o zenith_n and_o equinoctial_a 2d_o those_o that_o recline_v to_o the_o equinoctial_a and_o 3d._n those_o that_o recline_v below_o the_o equinoctial_a and_o first_o of_o the_o first_o variety_n recline_v less_o than_o to_o the_o equinoctial_a the_o draw_v the_o scheam_n be_v the_o same_o as_o in_o the_o former_a except_o in_o the_o place_n of_o the_o point_n and_o letter_n for_o first_o these_o plain_n behold_v the_o north-part_n of_o the_o horizon_n and_o then_o when_o you_o look_v on_o the_o plain_a the_o south_n be_v before_o you_o and_o the_o west_n on_o your_o right-hand_a and_o the_o east_n on_o the_o left_a then_o the_o south_n and_o north_n be_v always_o opposite_a and_o the_o point_n p_o represent_v the_o elevate_v pole_n of_o the_o place_n which_o with_o we_o be_v north_n must_v be_v place_v towards_o n_o downward_o as_o before_o in_o south_n recliner_n it_o be_v upward_o also_o it_o be_v necessary_a in_o the_o scheam_n to_o draw_v the_o equinoctial-line_n by_o lay_v the_o half_a tangent_fw-la of_o 51-32_a from_o z_o to_z ae_n then_o the_o secant_fw-la of_o 38-28_a the_o compliment_n of_o see_fw-mi lay_v from_o ae_n on_o the_o line_n sn_a shall_v be_v the_o centre_n to_o draw_v eaew_n for_o the_o equinoctial-circle_n thus_o the_o scheam_n be_v draw_v to_o find_v the_o requisite_n thus_o 1._o for_o the_o meridian_n elevation_n or_o distance_n from_o the_o perpendicule_a agnostus_n or_o ge._n by_o the_o secctor_n as_o sine_fw-la 90_o radius_fw-la zd_v 90-0_a to_o tangent_fw-la declination_n plain_n sd_z 55-0_a so_o sine_fw-la reclination_n plain_n see_fw-mi 20-0_a to_o tangent_fw-la merid._n &_o perpend_v ge_n 26-2_a as_o tangent_fw-la of_o declin_n sd_z 55-0_a to_o =_o sine_fw-la of_o radius_fw-la zd_v 90-0_a so_o =_o sine_fw-la of_o reclination_n see_fw-mi 20-0_a to_o tang._n of_o 12_o from_o perp._n ge_n 26-02_a who_o compliment_n agnostus_n 63-58_a be_v the_o meridian_n elevation_n above_o the_o east-end_n of_o the_o horizon_n by_o the_o scheam_n a_o rule_n lay_v from_o q_o to_o g_z on_o the_o limb_n give_v l_o then_o dl_o and_o all_o be_v the_o ark_v require_v 2._o to_o find_v the_o distance_n on_o the_o meridian_n from_o the_o pole_n to_o the_o plain_a gp_n by_o the_o sector_n as_o sine_fw-la declin_n of_o the_o plain_a gze_n 55-0_a to_o sine_z do_v of_o mer._n &_o perp._n ge_n 26â—02_n so_o sine_fw-la of_o the_o radius_fw-la gez_fw-fr 90â—00_n to_o sine_z of_o do_v on_o merid._n from_o pole_n to_o plain_a gz_n 32-03_a as_o sine_z of_o gez_fw-fr 90-0_a to_o =_o sine_fw-la of_o gze_v 55-0_a so_o =_o sine_fw-la of_o ge_n 26-2_a to_o sine_z of_o gz_n 32-03_a which_o add_v to_o 38-28_a zp_n make_v up_o gp_a to_o be_v 70-31_a or_o by_o the_o scheam_n a_o rule_n lay_v from_o e_o to_o p_o and_o g_o gives_z on_o the_o limb_n ab_fw-la the_o ark_n ab_fw-la be_v 70-31_a 3._o to_o find_v the_o style_n height_n above_o the_o plain_a pf_n by_o the_o sector_n as_o sine_fw-la of_o distance_n on_o mer._n from_o zenith_n to_o the_o plain_a gz_fw-fr 32-03_a to_o sine_fw-la of_o the_o plain_n reclin_n see_fw-mi 20-00_a so_o sine_fw-la of_o do_v on_o mer._n from_o pole_n to_o the_o plain_a gp_n 70-31_a to_o sine_fw-la of_o the_o style_n elevat_fw-la above_o the_o plain_a pf_n 37-01_a as_o the_o sine_fw-la gp_n 70-31_a to_o the_o =_o sine_fw-la gz_fw-fr 32-03_a so_o the_o =_o sine_fw-la see_fw-mi 20-00_a to_o the_o sine_fw-la pf_n 37-01_a by_o the_o scheam_n a_o rule_n lay_v from_o y_o to_o p_o and_o f_o on_o the_o limb_n give_v c_o and_o d_o the_o style_n height_n 4._o to_o find_v the_o distance_n of_o the_o substile_a from_o the_o meridian_n gf_n when_o it_o be_v above_o 90_o deg_n take_v the_o comp_n to_o 108_o deg_n by_o the_o sector_n as_o tangent_fw-la of_o the_o reclin_n see_fw-mi 20-00_a to_z sine_z of_o do_v of_o 12_o from_o perp._n ge_n 26-02_a so_o tang._n of_o the_o style_n elevat_fw-la pf_n 37-01_a to_o sine_fw-la of_o the_o substile_a from_o 12_o gf_n 65-24_a as_o sine_fw-la eglantine_n 26-02_a to_o =_o tangent_fw-la see_fw-mi 20-0_a so_fw-ge =_o tangent_fw-la pf_n 37-01_a to_o sine_z ge_n 65-24_a by_o the_o scheam_n a_o rule_n lay_v from_o q_o to_o g_z and_o f_o give_v on_o the_o limb_n lf_n the_o ark_n require_v 5._o to_o find_v the_o inclination_n of_o meridian_n fpg_n by_o the_o sector_n as_o sine_z do_v on_o merid._n from_o pole_n to_o plain_a gp_n 70-31_a to_o sine_fw-la radius_fw-la opposite_a angle_n gfp_n 90-00_a so_o sine_fw-la do_v on_o plain_a from_o 12_o to_o substile_n gf_n 65-24_a to_o sine_fw-la of_o the_o inclin_n of_o mer._n gpf_n 74-38_a as_o sine_fw-la gf_n 65-24_a to_o =_o sine_fw-la gp_v 70-31_a so_o =_o sine_fw-la gfp_n 90-00_a to_o sine_fw-la gpf_n 74-38_a by_o the_o scheam_n a_o rule_n lay_v from_o p_o to_o y_o on_o the_o limb_n give_v g_o the_o ark_n eglantine_n be_v 74-38_a the_o inclination_n of_o meridian_n or_o a_o rule_n lay_v from_o p_o to_o k_o gives_z h_z shall_z be_v the_o inclination_n of_o meridian_n by_o which_o to_o make_v the_o table_n as_o before_o be_v show_v and_o as_o follow_v to_o draw_v the_o dial._n 3_o 29_o 38_o 2_o 44_o 38_o 1_o 59_o 38_o 12_o 74_o 38_o 11_o 89_o 38_o 10_o 75_o 22_o 9_o 60_o 22_o 8_o 45_o 22_o 7_o 30_o 22_o 6_o 15_o 22_o 5_o 0_o 22_o 4_o 14_o 38_o for_o draw_v the_o dial_n consult_v with_o the_o scheam_n lay_v the_o plain_a aeb_fw-mi and_o his_o perpendicule_a cd_o right_a before_o you_o then_o note_v sn_a be_v the_o meridian-line_n see_fw-mi the_o plain_n perpendicule_a with_o the_o meridian_n g_o on_o the_o left-hand_a and_o the_o subtle_a f_o on_o the_o right-hand_a also_o note_n that_o the_o sun_n be_v in_o the_o south_n as_o saint_n cast_v â—is_n beam_n and_o consequent_o the_o shadow_n of_o â—he_n stile_n into_o the_o north_n so_o that_o though_o g_z be_v the_o true_a meridian_n find_v yet_o it_o be_v the_o north-part_n that_o be_v draw_v as_o a_o hour-line_n â—ut_v the_o substile_a and_o other_o hour_n be_v count_v from_o the_o south-end_n thereof_o as_o the_o tableâ—nd_n â—nd_z the_o figure_n of_o the_o dial_n do_v plain_o make_v manife_a be_v draw_v in_o this_o manner_n first_o draw_v the_o horizontal-line_n ab_fw-la then_o 〈◊〉_d c_o as_o a_o centre_n draw_v a_o semicircle_n equal_a 〈◊〉_d 60_o of_o the_o chord_n and_o lay_v off_o the_o meridian_n substile_n and_o style_v in_o their_o right_a situation_n as_o last_o be_v declare_v then_o draw_v â—â—ose_a line_n and_o to_o the_o substile_n erect_v a_o perâ—endiculer_a as_o de_fw-fr then_o take_v
as_o 12_o &_o 6_o be_v nr_n 60-40_a both_o hour_n and_o quarter_n if_o you_o have_v they_o true_o draw_v on_o a_o large_a general_a scheam_n as_o mr._n lankford_n have_v do_v thus_o much_o for_o direct_v plain_n both_o erect_a and_o recline_a before_o i_o come_v to_o speak_v of_o decliner_n it_o will_v not_o be_v amiss_o to_o show_v how_o to_o find_v the_o declination_n of_o a_o plain_a both_o by_o the_o sunshine_n or_o without_o by_o a_o magnetical-needle_n as_o follow_v as_o sine_z of_o the_o substile_a 41-40_a gf_n to_o =_o sine_fw-la of_o the_o latitude_n 51-32_a np_n so_o be_v =_o sine_fw-la of_o 90_o pfg_n to_o sine_z of_o gpf_n 58-7_a the_o incliner_n chap._n iii_o to_o find_v the_o declination_n of_o any_o plain_a for_o find_v the_o declination_n of_o a_o plain_a the_o most_o easy_a way_n be_v by_o a_o magnetical-needle_n fit_v according_a to_o mr._n fail_v way_n in_o the_o index_n of_o a_o declinatory_n as_o he_o call_v it_o be_v 180_o degree_n of_o a_o semicircle_n divide_v on_o a_o oblong-board_n or_o quadrant_n or_o a_o long_a needle_n in_o a_o square_a box_n or_o fit_v with_o hinge_n and_o a_o cover_v after_o all_o which_o way_n you_o may_v have_v they_o make_v at_o the_o sign_n of_o the_o sundial_n in_o the_o minory_n by_o john_n brown_a or_o of_o any_o other_o manner_n you_o shall_v think_v fit_a but_o to_o our_o triangule_a quadrant_n be_v a_o box_n and_o needle_n also_o to_o be_v fit_v of_o another_o form_n in_o some_o thing_n more_o convenient_a who_o form_n be_v thus_o first_o in_o a_o piece_n of_o box_n 5_o inch_n long_o 2_o ½_o broad_a and_o 6_o ten_o of_o one_o inch_n thick_a be_v a_o hole_n make_v near_o 4_o inch_n long_o 1_o inch_n ¾_n broad_a and_o 4_o ten_o deep_a for_o a_o needle_n to_o play_v in_o about_o 50_o degree_n at_o each_o end_n with_o brass-hinge_n and_o a_o cover_n and_o a_o brace_n to_o keep_v the_o lid_n upright_o &_o a_o axis_n of_o thâ—ed_n and_o a_o plummet_n play_v in_o the_o lid_n and_o a_o horizontal_a and_o a_o south-dial_n draw_v on_o the_o box_n and_o cover_n also_o a_o hasp_v and_o glass_n to_o keep_v the_o needle_n close_o cover_v and_o on_o the_o bottom_n a_o grove_n one_o ten_o of_o a_o inch_n deeâ—_n make_v just_a as_o broad_a as_o one_o leg_n of_o the_o sector_n be_v the_o use_n whereof_o be_v thus_o put_v your_o box_n and_o needle_n on_o that_o leg_n of_o the_o sector_n as_o will_v be_v most_o convenient_a for_o your_o purpose_n the_o north_n or_o cross-end_n of_o the_o needle_n towards_o the_o wall_n when_o it_o be_v a_o south_n decliner_n and_o the_o contrary_a when_o it_o be_v apply_v to_o a_o north_n decliner_n as_o the_o play_v of_o the_o needle_n will_v tell_v you_o better_o than_o many_o word_n then_o open_a or_o close_o the_o rule_n till_o the_o needle_n play_v right_a over_o the_o line_n in_o the_o bottom_n of_o the_o box_n unless_o there_o be_v variation_n than_o you_o must_v allow_v for_o it_o eastward_n or_o westward_n what_o it_o be_v then_o i_o say_v the_o quantity_n of_o the_o angle_n in_o degree_n and_o minute_n the_o sector_n stand_v at_o above_z or_o under_o 90_o be_v the_o degree_n and_o minute_n of_o declination_n be_v count_v from_o 00_o in_o the_o little_a semicircle_n as_o compliment_n to_o the_o angle_n of_o open_v as_o in_o the_o four_o use_n of_o the_o 5_o chapter_n be_v large_o and_o plain_o show_v thus_o you_o have_v the_o quantity_n of_o degree_n and_o minute_n of_o declination_n but_o to_o determine_v which_o way_n consider_v thus_o if_o the_o needle_n will_v stand_v still_o in_o the_o middle_n when_o the_o north-end_n be_v towards_o the_o wall_n than_o the_o first_o denomination_n be_v south_n if_o not_o north._n again_o when_o you_o know_v where_o north_n and_o south_n be_v you_o may_v resolve_v which_o way_n the_o east_n and_o west_n be_v for_o observe_v always_o if_o the_o north_n be_v before_o you_o than_o the_o east_n be_v on_o the_o right-hand_a and_o the_o west_n on_o the_o left_a and_o contrary_o if_o the_o south_n be_v before_o you_o the_o west_n be_v on_o the_o right-hand_a and_o the_o east_n on_o the_o left_a then_o if_o the_o sun_n be_v in_o the_o east-point_n of_o the_o horizon_n can_v look_v on_o the_o plain_a it_o be_v a_o southeast_n plain_a but_o if_o it_o behold_v it_o when_o in_o the_o west-point_n it_o be_v a_o south-west_n plain_a likewise_o if_o the_o cross-end_n of_o the_o needle_n will_v not_o stand_v towards_o the_o wall_n the_o needle_n play_v well_o and_o the_o sun_n be_v due_a east_n behold_v the_o plain_a than_o it_o be_v so_o many_o degree_n north-east_n but_o if_o it_o can_v look_v on_o the_o plain_a be_v due_a east_n than_o it_o be_v a_o northwest_n plain_a decline_v so_o many_o deg_n as_o the_o sector_n stand_v at_o under_z or_o above_o 90_o be_v always_o the_o compliment_n of_o the_o angle_n the_o leg_n of_o the_o sector_n stand_v at_o and_o find_v by_o take_v the_o angle_n the_o leg_n stand_v at_o from_o 90_o when_o the_o angle_n be_v less_o than_o 90._o or_o take_v 90_o out_o of_o the_o angle_n when_o it_o stand_v at_o a_o angle_n above_o 90_o degree_n as_o a_o look_n at_o the_o little_a semicircle_n on_o the_o head_n show_v example_n suppose_v i_o come_v to_o a_o wall_n and_o put_v the_o box_n and_o needle_n on_o the_o leg_n of_o the_o sector_n and_o apply_v the_o other_o leg_n to_o the_o wall_n or_o on_o a_o straight_a piece_n of_o wood_n apply_v to_o the_o wall_n because_o of_o the_o wall_n unevenness_n and_o open_a or_o close_o the_o leg_n till_o the_o needle_n play_v right_a over_o the_o meridian-line_n draw_v on_o the_o bottom_n of_o the_o box_n then_o i_o say_v the_o compliment_n of_o the_o angle_n the_o leg_n of_o the_o sector_n stand_v at_o be_v always_o what_o it_o want_v of_o or_o be_v above_o 90_o degree_n be_v the_o degree_n of_o declination_n and_o the_o coast_n which_o way_n the_o needle_n and_o sun_n be_v east_n and_o west_n tell_v you_o for_o if_o the_o north_n or_o cross-end_n of_o the_o needle_n be_v towards_o the_o wall_n it_o be_v a_o south_n plain_a and_o if_o the_o sun_n be_v in_o the_o east_n can_v behold_v it_o than_o it_o be_v southeast_n if_o not_o a_o south-west_n plain_a a_o ready_a way_n of_o count_v the_o angle_n find_v may_v be_v thus_o take_v the_o =_o distance_n between_o centre_n and_o centre_n in_o the_o middle_n of_o the_o innermost-line_n and_o lay_v it_o latteral_o from_o the_o centre_n and_o coâ—nt_v two_o degree_n more_o than_o the_o point_n show_v after_o the_o manner_n of_o chord_n from_o 90_o at_o the_o sine_fw-la of_o 45_o towards_o the_o compass-point_n and_o that_o shall_v be_v the_o degree_n and_o minute_n require_v example_n suppose_v the_o leg_n be_v so_o open_v that_o the_o =_o distance_n between_o the_o two_o centre_n make_v the_o sine_fw-la of_o 25_o then_o i_o say_v the_o line_n do_v stand_v at_o a_o angle_n of_o 50_o degree_n and_o the_o leg_n at_o 48_o two_o degree_n less_o the_o compliment_n whereof_o be_v 42_o as_o if_o you_o count_v thus_o from_o 45_o you_o will_v find_v 40_o from_o 45_o be_v 10_o 35_o be_v 20_o 30_o be_v 30_o 25_o be_v 40_o and_o 2_o degree_n more_o make_v 42_o the_o thing_n desire_v but_o if_o you_o like_v not_o the_o abate_n of_o two_o degree_n than_o the_o =_o distance_n take_v just_a between_o the_o two_o leg_n right_a against_o the_o centre_n shall_v be_v just_o the_o sine_fw-la of_o 24_o degree_n â—r_o 42_o count_v after_o the_o manner_n of_o chord_n viz._n every_o 5_o degree_n on_o the_o sin_n for_o 10_o on_o â—he_n chord_n backward_o from_o 45_o of_o the_o sin_n which_o be_v 90_o in_o chord_n or_o if_o you_o use_v the_o first_o rule_n of_o the_o four_o useâ—f_n â—f_z the_o 5_o chapter_n viz._n by_o take_v the_o â—ine_z of_o 30_o and_o put_v one_o point_n of_o the_o compass_n in_o the_o middle_a centre_n in_o the_o tangent-â—â—ne_n and_o apply_v the_o other_o to_o the_o line_n of_o â—ines_n you_o shall_v find_v it_o reach_v to_o the_o sine_fw-la compliment_n of_o the_o angle_n the_o line_n stand_v at_o â—iz_o 40_o degree_n and_o 2_o degree_n more_o viz._n â—2_n be_v the_o angle_n or_o thing_n desire_v as_o practise_v with_o consideration_n will_v make_v easy_a thus_o by_o the_o needle_n you_o may_v find_v the_o â—eclination_n of_o a_o wall_n which_o in_o cloudy_a â—eather_n may_v stand_v you_o in_o good_a stead_n or_o 〈◊〉_d prove_v a_o declination_n take_v by_o the_o sun_n to_o prevent_v mistake_n and_o if_o nothing_o draw_v the_o â—eedle_n from_o its_o right_a position_n but_o that_o it_o â—ay_v well_o and_o you_o find_v the_o angle_n true_o â—ou_fw-mi may_v come_v to_o less_o than_o half_a a_o degree_n and_o this_o convenience_n it_o have_v
help_n of_o a_o sector_n with_o sines_n and_o tangent_n to_o 7-5_a such_o as_o be_v usual_o make_v but_o for_o very_o far_o decliner_n use_v that_o help_n as_o direct_v in_o chap._n 4._o the_o like_a work_n serve_v to_o help_v all_o sort_n of_o dial_n with_o low_a style_n polar_a and_o meridian_n dial_n also_o the_o other_o 6_o sort_n yet_o behind_o i_o shall_v demonstrate_v only_o in_o two_o of_o they_o which_o do_v proper_o enough_o comprehend_v they_o all_o and_o the_o work_n of_o one_o be_v as_o easy_a as_o the_o work_n of_o the_o other_o especial_o by_o the_o help_n of_o the_o sphere_n where_o the_o hard_a be_v as_o plain_a as_o the_o horizontal_a therefore_o 7._o of_o decline_a reclining-dials_n 1._o for_o south_n recliner_n they_o may_v recline_v short_a of_o to_z or_o beyond_o the_o pole_n at_o any_o declination_n as_o the_o put_n up_o and_o down_o the_o plain_a do_v plain_o demonstrate_v therefore_o first_o of_o one_o that_o decline_v south-west_n 35_o and_o recline_v 20_o from_o the_o zenith_n set_a the_o notch_n or_o pole_n of_o the_o plain_a to_o the_o declination_n and_o the_o recline_a circle_n to_o its_o reclination_n and_o there_o make_v it_o fast_o then_o extend_v the_o axis_n straight_o and_o bring_v the_o upper_a semicircle_n just_a to_o touch_v it_o and_o the_o hour-circle_n exact_o even_o with_o the_o move_a semicircle_n then_o first_o the_o axis_n show_v the_o style_n height_n on_o the_o semicircle_n to_o be_v 12-13_a the_o thread_n bring_v along_o the_o plain_a while_o it_o touch_v the_o meridian_n and_o that_o show_v the_o meridian_n elevation_n above_o the_o horizon_n on_o the_o north_n recliner_n to_o be_v 76-32_a or_o its_o depression_n below_o the_o horizon_n in_o south-recliners_a and_o that_o from_o the_o east-end_n as_o the_o sphere_n show_v then_o 3._o the_o substile_a from_o the_o perpendicule_a line_n of_o the_o plain_a be_v 21-6_a as_o the_o upper_a semicircle_n show_v but_o from_o the_o hour_n 12_o or_o meridian_n 7-58_a and_o stand_v on_o the_o east-side_n of_o the_o meridian_n the_o inclination_n of_o the_o meridian_n be_v 33-29_a as_o the_o degree_n on_o the_o equinoctial_a between_o the_o meridian_n and_o hour-circle_n show_n all_o the_o hour-arks_a be_v easy_o find_v from_o the_o plain_n perpendicule_a eastward_n and_o westward_n by_o apply_v the_o thread_n to_o the_o hour-circle_n and_o plain_n be_v set_v to_o the_o hour_n on_o the_o equinoctial_a the_o south_n pole_n be_v elevate_v in_o the_o south-recline_a and_o the_o north_n on_o the_o north_n incliner_n if_o you_o set_v letter_n to_o the_o side_n and_o angle_n according_a to_o the_o former_a discourse_n you_o will_v see_v how_o all_o the_o canon_n in_o the_o arithmetical_a calculation_n lie_v as_o i_o show_v you_o before_o in_o the_o decline_a dial_n and_o as_o again_o thus_o on_o the_o pole_n set_v p._n on_o the_o zenith_n z._n at_o the_o west-end_n of_o the_o plain_a set_v a._n at_o the_o east-end_n b._n at_o the_o south_n pole_n of_o the_o plain_a c._n at_o the_o north_n pole_n d._n at_o the_o east-end_n of_o the_o horizon_n e._n at_o the_o west-end_n w._n at_o the_o north-end_n of_o the_o meridian_n set_v n._n at_o the_o south-end_n s._n where_o the_o hour-circle_n cut_v the_o plain_a f._n where_o the_o meridian_n cut_v the_o plain_a g._n where_o the_o fix_a semicircle_n cut_v the_o plain_a set_v e._n as_o in_o the_o figure_n before_o then_o these_o canon_n in_o short_a run_v thus_o as_o sine_fw-la base_n zd_v 90-00_a to_o tang._n perpend_v nd_o 35-00_a so_o sine_fw-la of_o base_a see_fw-mi 20-00_a to_o tang._n perpend_v ge_n 13-28_a who_o compliment_n agnostus_n 70-32_a be_v the_o meridian_n elevation_n as_o sine_fw-la of_o the_o side_n ge_n 13-28_a to_o sine_fw-la of_o the_o angle_n cze_v 35-00_a so_o sine_fw-la of_o the_o angle_n gfz_fw-fr 90-00_a to_o sine_fw-la of_o the_o side_n gz_fw-fr 23-57_a which_o take_v from_o zp_n 38-28_a leave_v 14-33_a the_o distance_n of_o the_o meridian_n place_n from_o the_o pole_n to_o the_o plain_a viz._n gf_n as_o sine_fw-la of_o hypothen_n gz_fw-fr 23-57_a to_o sine_fw-la of_o perpend_v see_fw-mi 20-00_a so_o sine_fw-la of_o hypothen_n pg_n 14-33_a to_o sine_fw-la of_o perpend_v pf_n 12-13_a  _fw-fr the_fw-fr style_n as_o tangent_fw-la of_o perpend_v zf_o 20-00_a to_o sine_fw-la of_o base_a ge_n 13-28_a so_o tangent_fw-la of_o perpend_v pf_n 12-13_a to_o sine_fw-la of_o base_a fg_n 7-58_a  _fw-fr the_fw-fr substile_fw-fr to_o 12._o as_o the_o sine_fw-la of_o the_o side_n see_fw-mi 20-00_a to_o the_o sine_fw-la of_o the_o side_n ge_n 13-28_a so_o be_v the_o sine_fw-la of_o the_o angle_n pfg_v 90-00_a to_o the_o sine_fw-la of_o the_o angle_n fpg_n 33-28_a  _fw-fr inclin_n merid._n for_o the_o hour_n in_o all_o dial_n say_v thus_o as_o sine_fw-la of_o 90_o to_o sine_fw-la of_o stiles_n height_n so_o tangent_fw-la of_o the_o angle_n at_o the_o pole_n to_z tangent_fw-la of_o the_o angle_n on_o the_o plain_a 8._o for_o north_n decline_a reclining-dials_n for_o these_o plain_n also_o you_o must_v rectify_v the_o sphere_n to_o the_o latitude_n and_o set_v the_o plain_a to_o his_o declination_n and_o inclination_n which_o be_v give_v and_o for_o which_o you_o be_v to_o make_v a_o north_n decline_a reclining_a dial._n as_o you_o do_v in_o the_o south-recline_a so_o work_v in_o all_o respect_n as_o you_o shall_v bring_v forth_o the_o quesita_n either_o by_o the_o sphere_n or_o arithmetical-calculation_n as_o be_v large_o show_v and_o for_o a_o plain_a that_o decline_v 55_o degree_n from_o the_o north_n towards_o the_o east_n and_o relines_n 20_o from_o the_o zenith_n you_o shall_v find_v the_o requisite_n to_o be_v as_o follow_v 1._o the_o meridian_n elevation_n above_o the_o horizon_n be_v find_v to_o be_v 63_o deg_n 58_o min._n but_o yet_o observe_v you_o must_v make_v use_n of_o that_o part_n of_o it_o which_o be_v below_o the_o horizon_n because_o the_o sun_n be_v elevate_v high_a on_o the_o south-part_n of_o the_o meridian_n must_v needs_o cast_v a_o shadow_n on_o the_o north-part_n thereof_o therefore_o in_o draw_v the_o dial-part_n part_n be_v only_o to_o be_v make_v use_n of_o for_o the_o sun_n to_o shine_v on_o 2._o the_o style_n elevation_n be_v 37_o degree_n 00_o minute_n 3._o the_o substile_a from_o 12_o 65-24_a or_o from_o the_o plain_n perpendicule_a 39-22_a the_o north_n pole_n be_v elevate_v and_o in_o regard_n the_o plain_n decline_v to_o the_o east_n the_o style_n must_v be_v set_v towards_o the_o west_n and_o it_o shine_v on_o the_o plain_a in_o summertime_n from_o the_o rise_n unto_o 12_o but_o in_o the_o wintertime_n but_o a_o few_o hour_n note_v also_o that_o these_o decline_a reclining-plain_n may_v be_v refer_v to_o a_o new_a latitude_n and_o declination_n wherein_o they_o shall_v become_v upright_a decliner_n as_o before_o be_v hint_v the_o poor-mans_n dial-sphear_n or_o another_o way_n to_o demonstrate_v the_o mystery_n of_o dyall_v both_o for_o decline_a and_o incline_v plain_n in_o a_o very_a plain_n easy_a way_n for_o one_o 6_o part_n of_o the_o cost_n of_o the_o other_o brass-sphear_n first_o as_o to_o the_o description_n and_o afterward_o for_o the_o use_n as_o to_o the_o description_n the_o figure_n annex_v and_o a_o few_o word_n shall_v suffice_v wherein_o consider_v first_o the_o plain_a flat-board_n represent_v the_o horizon_n as_o abcd._n second_o the_o two_o upright_a piece_n as_o east_n and_o west-point_n as_o ae_n and_o bf_n to_o support_v the_o move_a plain_n three_o the_o moving-plain_a move_v to_o any_o inclination_n on_o the_o two_o point_n e_o and_o f_o with_o 180_o degree_n upon_o the_o plain_a and_o note_v by_o abef_n four_o also_o a_o brass-circle_n as_o g_o fasten_v to_o the_o plain_a to_o set_v it_o to_o any_o degree_n of_o inclination_n and_o a_o screw_n as_o at_o h_n that_o may_v stay_v it_o steady_a when_o set_v to_o any_o reclination_n five_o on_o the_o middle_n of_o the_o horizontal-board_n be_v fasten_v at_o the_o point_n m_o a_o true_a horizontal-dial_n draw_v fit_a for_o your_o latitude_n and_o to_o turn_v round_o on_o the_o point_n m_o as_o imkl_n six_o a_o thread_n fasten_v in_o l_o the_o centre_n of_o the_o horizontal-dial_n and_o in_o n_o the_o centre_n of_o the_o plain_a to_o be_v both_o a_o style_n for_o the_o horizontal-dial_n and_o to_o represent_v the_o axis_n of_o the_o world_n also_o a_o small_a woodden-quadrant_n will_v be_v useful_a such_o a_o one_o as_o half_a the_o plain_n be_v to_o draw_v perpendiculer_o and_o measure_v angle_n as_o afterward_o in_o the_o use_v the_o use_v follow_v use_v i._o to_o find_v the_o declination_n of_o a_o plain_a by_o the_o sunshining_a apply_v the_o side_n ab_fw-la to_o the_o wall_n and_o hold_v the_o instrument_n level_v as_o by_o help_n of_o a_o point_n plummer_n fasten_v at_o n_o and_o the_o point_n play_v right_o on_o m_n it_o be_v easy_a to_o
00_o 00_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 15_o 56_o 13_o 25_o 06_o 41_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 13_o 44_o 11_o 11_o 04_o 23_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 11_o 35_o 8_o 59_o 02_o 08_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 5_o 9_o 32_o 6_o 50_o 00_o 06_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 7_o 23_o 4_o 44_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 5_o 26_o 2_o 41_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 3_o 36_o 0_o 41_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 4_o 1_o 32_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr the_o description_n and_o some_o use_v of_o the_o sphere_n for_o dial_v and_o for_o the_o better_a understanding_n of_o the_o general_a and_o particular_a scheme_n next_o the_o foot_n and_o semicircle_n frame_v for_o support_v of_o it_o you_o may_v consider_v 1._o the_o fix_a horizon_n to_o which_o the_o foot_n be_v fasten_v with_o 4_o screw_n number_v and_o divide_v into_o 360_o degree_n or_o four_o 90_o deg_n who_o count_n begin_v at_o the_o dividee_n side_n of_o the_o meridian-circle_n 2._o the_o meridian_n circle_n who_o fore-side_n at_o the_o nadir-point_n stand_v in_o the_o centre_n of_o the_o foot_n this_o be_v also_o divide_v into_o 4_o 90_o s_o and_o begin_v to_o be_v number_v at_o the_o south_n and_o north_n part_n of_o the_o horizon_n upward_o towards_o the_o zenith_n and_o downward_o towards_o the_o nadir_n which_o circle_n be_v always_o fix_v as_o the_o horizon_n be_v 3._o the_o equinoctial_a circle_n make_v fast_o at_o the_o east_n and_o west_n point_v of_o the_o horizon_n move_v up_o and_o down_o upon_o the_o meridian-circle_n according_a to_o the_o elevation_n of_o the_o equinoctial_a in_o any_o latitude_n this_o be_v divide_v â—â—kewise_o into_o four_o 90_o s_o &_o number_v from_o the_o meridian_n each_o way_n to_o the_o east_n and_o west_n point_v of_o the_o horizon_n 4._o on_o the_o meridian_n circle_n be_v set_v 2_o movable_a pole_n to_o be_v elevate_v or_o depress_v fit_a to_o the_o latitude_n of_o any_o place_n on_o the_o fiducial-edge_n of_o which_o be_v fasten_v the_o thread_n represent_v the_o axis_n of_o the_o world_n at_o any_o elevation_n of_o the_o pole_n 5._o on_o the_o 2_o pole_n point_n be_v fasten_v the_o hour_n circle_n which_o delineate_v or_o represent_v the_o motion_n of_o the_o sun_n or_o any_o fix_a star_n move_v in_o its_o suppose_a diurnal_a motion_n about_o the_o pole_n of_o the_o world_n and_o may_v not_o improper_o be_v call_v the_o movable_a meridian_n circle_n or_o hour_n circle_n divide_v as_o before_o 6._o the_o movable_a horizon_n that_o move_v about_o to_o any_o azimuth_n and_o slide_v or_o move_v in_o the_o fix_a horizon_n 7._o the_o plain_a fix_v in_o 2_o opposite_a point_n to_o the_o move_a horizon_n be_v set_v either_o horizontal_a when_o it_o lie_v parallel_v to_o the_o fix_a horizon_n or_o erect_v when_o perpendicule_a thereunto_o or_o set_v to_o any_o reclination_n or_o inclination_n by_o help_n of_o the_o semicircle_n of_o reclination_n fasten_v to_o the_o backside_n of_o the_o plain_a in_o the_o 2_o pole_n thereof_o 8._o you_o have_v the_o upper_a move_a semicircle_n in_o turn_v about_o of_o which_o whatever_o degree_n the_o fore-side_n of_o the_o semicircle_n cut_v the_o perpendiculer-point_n cut_v the_o compleâ—ment_n thereof_o and_o to_o be_v call_v the_o upper_a semicircle_n or_o circle_n always_o perpendicuâ—ler_n to_o the_o plain_a 9_o there_o aught_o to_o be_v a_o thread_n fasten_v in_o the_o centre_n of_o the_o plain_a to_o be_v extend_v to_o any_o altitude_n or_o azimuth_n require_v thus_o much_o for_o description_n repeat_v again_o in_o short_a thus_o the_o horizon_n the_o meridian_n the_o equinoctial_a circle_n the_o 2_o pole_n point_n and_o axis_n the_o hour_n circle_n or_o movable_a meridian_n the_o movable_a horizon_n the_o plain_a the_o semicircle_n of_o reclination_n the_o upper_a semicircle_n and_o the_o thread_n note_v also_o every_o circle_n be_v divide_v into_o 4_o time_n 90_o and_o number_v the_o most_o useful_a way_n also_o on_o the_o plain_n be_v set_v the_o 12_o month_n and_o every_o single_a day_n on_o which_o every_o respective_a day_n if_o you_o extend_v the_o thread_n then_o in_o the_o degree_n be_v the_o sun_n right_a ascension_n in_o degree_n on_o the_o innermost_a circle_n the_o same_o in_o hour_n and_o quarter_n from_o the_o next_o equinoctial-point_n on_o the_o line_n of_o declination_n his_o mean_a declination_n on_o the_o line_n of_o â—he_n sun_n place_n his_o mean_a true_a place_n sufficient_o true_a for_o any_o illustration_n in_o mathematical_a practice_n the_o use_v whereof_o in_o some_o part_n follow_v 1._o to_o rectify_v the_o sphere_n to_o any_o latitude_n count_v the_o elevation_n of_o the_o pole_n on_o the_o meridian_n circle_n from_o the_o horizon_n upward_o and_o downward_o from_o the_o north_n and_o south_n part_n of_o the_o horizon_n and_o there_o make_v fast_o with_o the_o help_n of_o the_o small_a screw_n the_o fiducial-edge_n of_o the_o pole_n point_n carry_v the_o hour_n circle_v fix_v upon_o they_o than_o the_o pole_n be_v right_o elevate_v 2._o count_n the_o compliment_n of_o the_o pole_n elevation_n on_o the_o meridian_n from_o the_o south_n part_n of_o the_o horizon_n and_o to_o it_o set_v the_o divide_a side_n of_o the_o equinoctial_a circle_n then_o be_v that_o rectify_v also_o in_o the_o northern_a hemisphere_n or_o in_o the_o southern_a if_o you_o call_v the_o north_n pole_n the_o south_n pole_n 3._o extend_v the_o thread_n or_o axis_n pass_v through_o the_o centre_n to_o the_o south_n pole_n and_o there_o make_v it_o fast_o and_o then_o the_o sphere_n be_v rectify_v for_o many_o use_v in_o that_o latitude_n use_v i._o the_o day_n of_o the_o month_n be_v give_v to_o find_v the_o sun_n true_a place_n lay_v the_o thread_n in_o the_o centre_n of_o the_o plain_a on_o the_o day_n of_o the_o month_n and_o in_o the_o line_n of_o the_o sun_n place_n you_o have_v his_o place_n example_n on_o the_o 5_o of_o november_n it_o be_v 23_o degree_n in_o â™_o or_o if_o the_o sun_n place_n be_v give_v look_v for_o that_o and_o just_a against_o it_o in_o the_o month_n be_v the_o day_n require_v example_n the_o sun_n place_n be_v 15_o degree_n ♌_o i_o look_v for_o it_o in_o the_o line_n of_o his_o place_n and_o just_a against_o it_o i_o find_v july_n 28_o day_n use_v ii_o to_o find_v his_o declination_n any_o day_n look_v for_o the_o day_n give_v and_o right_a against_o it_o in_o the_o line_n of_o declination_n be_v his_o due_a declination_n require_v example_n august_n the_o 5_o the_o declination_n be_v 14_o degree_n 5_o minute_n from_o the_o next_o equinoctial-point_n viz._n ♎_o note_v in_o the_o northern_a sin_n or_o summertime_n the_o sun_n have_v north_n declination_n or_o in_o southern_a sin_n or_o winter-month_n the_o sun_n have_v south_n declination_n or_o if_o you_o have_v the_o sun_n declination_n find_v that_o in_o the_o line_n declination_n and_o right_a against_o it_o in_o the_o month_n be_v the_o day_n require_v example_n 21_o degree_n south_n declination_n begin_v from_o the_o equinoctial_a towards_o the_o winter_n solstice_n i_o find_v novemb_n 15._o the_o like_a work_n have_v be_v if_o the_o sun_n place_n have_v be_v give_v to_o find_v his_o declination_n use_v iii_o the_o day_n give_v to_o find_v the_o sun_n rightascention_n this_o be_v usual_o reckon_v from_o ♈_o to_o ♈_o round_a in_o 24_o hour_n but_o twice_o 12_o be_v as_o useful_a and_o then_o it_o be_v thus_o find_v the_o day_n among_o the_o month_n and_o day_n and_o just_a against_o it_o in_o the_o time_n of_o hour_n be_v the_o sun_n right_a ascension_n but_o note_n it_o be_v not_o right_o figure_v for_o this_o use_n count_v onward_o from_o ♈_o or_o the_o 10_o of_o march_n to_o the_o 13_o of_o septemb_n and_o from_o thence_o to_o aries_n again_o likewise_o the_o degree_n be_v to_o be_v reckon_v from_o ♈_o onward_o as_o the_o month_n proceed_v example_n on_o the_o 12_o of_o may_n what_o be_v the_o sun_n right_a ascension_n lay_v the_o thread_n on_o the_o 12_o of_o may_n and_o in_o the_o line_n of_o hour_n it_o cut_v 9-57′_a count_v from_o aries_n onward_o or_o in_o degree_n 59-15_a count_v as_o before_o thus_o if_o any_o one_o of_o these_o 4_o general_a thing_n be_v give_v the_o other_o may_v be_v find_v use_v iu._n the_o sun_n declination_n and_o latitude_n be_v give_v to_o find_v the_o sun_n meridian_n altitude_n the_o sphere_n be_v rectify_v count_v the_o declination_n on_o the_o meridian_n from_o the_o equinoctial_a that_o way_n the_o declination_n be_v either_o north_n or_o south_n and_o where_o the_o count_v end_n there_o be_v the_o meridian_n altitude_n require_v for_o that_o day_n or_o declination_n example_n june_n 11._o declination_n 23-30′_a count_v 23-30_a from_o 38-30_a the_o place_n where_o
do_v then_o by_o the_o trianguler-quadrant_n have_v first_o observe_v the_o true_a hour_n turn_v the_o horizontal-dial_n about_o on_o the_o point_n m_o till_o the_o shadow_n of_o the_o thread_n or_o axis_n show_v the_o same_o hour_n then_o the_o point_n on_o the_o north-end_n of_o the_o horizontal-dial_n shall_v show_v the_o true_a declination_n of_o the_o plain_a for_o any_o south_n decliner_n the_o use_n be_v obvious_a but_o for_o north-decliners_a you_o must_v turn_v the_o plain_a out_o of_o the_o way_n of_o the_o thread_n still_o keep_v the_o same_o side_n ab_fw-la to_o the_o wall_n and_o if_o the_o horizontal-dial_n hinder_v put_v a_o parallel-piece_n between_o as_o your_o rule_n or_o any_o other_o thing_n and_o you_o shall_v have_v the_o point_n give_v the_o declination_n on_o the_o southern_a semicircle_n on_o the_o fix_a horizon_n use_v ii_o the_o declination_n of_o any_o erect_a decliner_n give_v to_o find_v the_o substile_a and_o style_v inclination_n of_o meridian_n and_o every_o hour_n and_o quarter_n distance_n from_o 12_o be_v the_o perpendicule_a line_n on_o the_o plain_a first_o set_v the_o point_n at_o 12_o on_o the_o horizontal-dial_n to_o the_o declination_n of_o the_o plain_a towards_o the_o east_n or_o west_n and_o set_v the_o plain_a upright_a then_o first_o for_o the_o substile_a apply_v the_o side_n of_o the_o quadrant_n to_o the_o plain_a and_o cause_v the_o shadow_n of_o the_o thread_n to_o play_v parallel_n to_o the_o perpendicular_a ray_n of_o the_o quadrant_n and_o at_o the_o same_o time_n it_o shall_v show_v on_o the_o degree_n on_o the_o plain_a the_o true_a substiles_n distance_n from_o 12._o example_n suppose_v the_o plain_n decline_v 20_o degree_n south-west_n you_o shall_v find_v the_o substile_a to_o be_v 15_o deg_n and_o 12′_n from_o 12_o and_o to_o stand_v on_o the_o east-side_n of_o 12_o in_o a_o south_n decline_v west_n 20_o degree_n latitude_n 51-30_a again_o for_o the_o style_n elevation_n apply_v the_o quadrant_n to_o the_o flat_a of_o the_o plain_a on_o the_o substile_a line_n so_o as_o the_o thread_n may_v cut_v the_o centre_n of_o the_o quadrant_n and_o then_o the_o thread_n shall_v cut_v on_o the_o quadrant_n 35-46_a for_o the_o style_n height_n again_o for_o the_o inclination_n of_o meridian_n the_o shadow_n of_o the_o thread_n when_o it_o cut_v the_o substile_a 15_o deg_n 12′_n on_o the_o plain_a shall_v on_o the_o horizontal-dial_n cut_v 1_o hour_n 36_o min._n which_o reduce_v to_o degree_n be_v 24_o deg_n 50_o min._n the_o inclination_n of_o meridian_n again_o for_o every_o hour_n distance_n in_o degree_n and_o minute_n from_o 12._o turn_v the_o whole_a instrument_n about_o as_o it_o be_v then_o first_o set_v till_o the_o shadow_n of_o the_o thread_n shall_v fall_v on_o every_o hour_n and_o quarter_n and_o then_o the_o shadow_n shall_v cut_v on_o the_o degree_n on_o the_o plain_a the_o distance_n of_o every_o hour_n and_o quarter_n from_o 12_o for_o that_o declination_n in_o degree_n and_o minute_n which_o you_o may_v draw_v into_o a_o table_n for_o your_o use_n and_o purpose_n or_o hereby_o examine_v your_o more_o exact_a calculation_n and_o prevent_v all_o gross_a mistake_n in_o your_o former_a work_n use_v iii_o any_o decline_a north-east_n or_o north-west-dial_n be_v give_v to_o find_v the_o former_a requisite_n for_o those_o dial_n in_o the_o true_a proper_a use_v the_o sphere_n for_o north-dials_n the_o style_n shall_v look_v upward_o which_o will_v appear_v so_o to_o do_v if_o you_o turn_v the_o instrument_n the_o bottom_n upward_o for_o the_o further_a help_n to_o your_o fancy_n but_o observe_v that_o the_o hour-arks_a and_o angle_n be_v the_o same_o for_o the_o north_n as_o for_o the_o south_n only_o the_o difference_n be_v in_o the_o situation_n as_o to_o the_o contrary-side_n and_o look_v upward_o instead_o of_o the_o south_n decliner_n look_v downward_o as_o by_o turn_v the_o instrument_n appear_v so_o that_o if_o you_o draw_v the_o dial_n as_o a_o south-west_n when_o you_o will_v make_v a_o northwest_n and_o set_v right_a figure_n and_o the_o right_a way_n and_o then_o your_o work_n be_v effect_v to_o your_o mind_n to_o the_o right_a intent_n and_o purpose_n example_n of_o a_o north-east_n 30_o degree_n latitude_n 51-30_a set_a the_o point_n at_o 12_o to_o 30_o degree_n westward_o and_o apply_v the_o square_n to_o the_o plain_a till_o it_o just_o touch_v the_o thread_n and_o on_o the_o degree_n on_o the_o plain_a it_o cut_v 21-40_a for_o the_o substile_a and_o at_o the_o same_o time_n almost_o half_a a_o hour_n past_o 2_o for_o inclination_n of_o the_o meridian_n and_o apply_v the_o quadrant_n to_o the_o substile-line_n on_o the_o plain_a and_o to_o the_o thread_n it_o cut_v 32-35_a for_o the_o style_n height_n be_v the_o same_o and_o the_o same_o way_n find_v as_o for_o the_o south_n decliner_n east_n but_o observe_v that_o for_o the_o hour-arks_a you_o must_v note_v that_o the_o north-dial_n can_v show_v 12_o at_o noon_n nor_o any_o hour_n very_o near_a noon_n which_o will_v be_v see_v on_o the_o south_n decliner_n east_n therefore_o 4_o in_o the_o morning_n be_v here_o call_v 8_o and_o 5_o be_v call_v 7_o and_o 6_o be_v 6_o 7_o in_o the_o morning_n be_v call_v 5_o and_o 8_o be_v to_o be_v name_v 4_o and_o if_o you_o turn_v the_o instrument_n that_o the_o shadow_n of_o the_o thread_n may_v fall_v on_o those_o hour_n it_o will_v also_o cut_v on_o the_o degree_n on_o the_o plain_a the_o true_a hour-arks_a require_v as_o thus_o for_o 8_o it_o show_v it_o not_o at_z 7_o it_o show_v 77-00_a at_o 6_o it_o show_v 58_o deg_n 52_o minute_n at_o 5_o it_o cut_v on_o the_o degree_n on_o the_o plain_a 45-38_a at_o 4_o in_o the_o morning_n it_o cut_v on_o the_o plain_a 35-27_a but_o the_o shadow_n fall_v then_o on_o hour_n of_o 8_o on_o the_o horizontal-dial_n also_o note_n that_o these_o number_n be_v not_o lay_v from_o the_o substile_a but_o from_o the_o plain_n perpendicule_a which_o in_o all_o upright_a plain_n be_v a_o perpendicule_a line_n and_o in_o all_o other_o plain_n a_o perpendicule_a to_o the_o horizontal-line_n draw_v on_o the_o plain_a and_o thus_o proceed_v with_o any_o other_o the_o affection_n be_v best_a see_v when_o you_o turn_v the_o instrument_n the_o upper-part_n downward_o use_v iv._o to_o find_v the_o requisite_n and_o to_o draw_v the_o hour_n on_o a_o far_o decline_a erect-dial_n s._n w._n 80._o set_a the_o point_n to_o 80_o as_o before_o s._n w._n then_o the_o thread_n and_o the_o quadrant_n shall_v show_v 38-2_a for_o the_o substile_a and_o 82-8_a on_o the_o horizontal_a for_o the_o inclination_n of_o meridian_n and_o 6-12_a for_o the_o style_n elevation_n and_o the_o shadow_n of_o the_o thread_n on_o the_o horizontal-dial_n will_v show_v you_o how_o close_o and_o inconvenient_a the_o hour_n will_v be_v if_o not_o help_v by_o the_o former_a direction_n and_o in_o like_a manner_n will_v the_o north-east_n or_o west_n be_v and_o likewise_o help_v use_v v._o to_o find_v the_o requisite_n and_o hour-arks_a from_o the_o perpendicule_a of_o a_o decline_a incline_v plain_n with_o its_o affection_n set_a the_o point_n at_o 12_o to_o the_o declination_n and_o move_v the_o plain_a by_o help_n of_o the_o arch_n or_o circle_n of_o brass_n to_o the_o inclination_n and_o with_o the_o screw_n make_v it_o fast_o and_o steady_a in_o that_o place_n then_o for_o the_o substile_a apply_v the_o quadrant_n to_o the_o plain_a and_o also_o perpendicule_a to_o the_o axis_n as_o the_o edge_n of_o the_o quadrant_n be_v thick_a will_v neat_o show_v then_o the_o thread_n will_v show_v on_o the_o degree_n on_o the_o plain_a the_o distance_n of_o the_o substile_a from_o the_o perpendicule_a or_o the_o compliment_n thereof_o from_o the_o horizon_n which_o point_n note_n with_o a_o spot_n of_o ink_n for_o when_o the_o shadow_n of_o the_o thread_n fall_v on_o that_o spot_n on_o the_o horizontal_a dial_n it_o show_v the_o inclination_n of_o meridian_n that_o be_v to_o say_v on_o what_o hour_n and_o minute_n the_o cock_n of_o the_o dial_n shall_v stand_v right_o over_o also_o the_o quadrant_n apply_v to_o the_o plain_a and_o thread_n on_o the_o substile-line_n show_v the_o true_a style_n elevation_n above_o the_o plain_a and_o last_o make_v the_o shadow_n of_o the_o thread_n to_o fall_v on_o every_o hour_n on_o the_o horizontal-dial_n it_o shall_v at_o the_o same_o time_n show_v how_o many_o degree_n and_o minute_n on_o the_o plain_a that_o hour-line_n ought_v to_o be_v from_o the_o perpendicule_a or_o from_o the_o horizon_n and_o also_o which_o way_n either_o to_o the_o right_n or_o left_a east_n or_o west_n or_o from_o the_o substile_a or_o 12_o if_o you_o will_v trouble_v yourself_o to_o count_v it_o from_o the_o place_n find_v out_o for_o the_o substile_a or_o 12._o example_n of_o a_o plain_a decline_a
at_o the_o sun_n or_o star_n and_o the_o weighty_a plummet_n will_v pull_v the_o thread_n straight_o and_o let_v you_o know_v by_o feel_v which_o way_n it_o be_v play_v till_o it_o play_v even_o and_o true_o whilst_o you_o have_v the_o object_n precise_o in_o the_o midst_n thereof_o whether_o it_o be_v sun_n moon_n or_o any_o star_n or_o other_o object_n who_o altitude_n you_o will_v observe_v then_o i_o say_v when_o the_o plummet_n play_v well_o and_o you_o behold_v the_o object_n right_a bend_v back_o the_o quadrant_n and_o see_v what_o the_o thread_n cut_v on_o the_o degree_n on_o the_o moveable-leg_n which_o shall_v be_v the_o true_a altitude_n require_v and_o in_o my_o opinion_n must_v needs_o be_v more_o exact_a than_o any_o other_o way_n of_o a_o forward_a observation_n because_o you_o be_v not_o trouble_v to_o mind_v the_o horizon_n and_o sun_n both_o at_o at_o once_o a_o objection_n may_v be_v the_o boisterous_a wind_n and_o the_o roll_a of_o the_o ship_n will_v hinder_v such_o a_o observation_n answ._n so_o it_o will_v any_o other_o way_n though_o happy_o not_o so_o much_o again_o i_o answer_v one_o object_n be_v better_a and_o more_o certain_o see_v than_o two_o at_o any_o time_n together_o and_o though_o the_o wind_n blow_v hard_a if_o you_o can_v stand_v to_o observe_v at_o all_o the_o heavy_a plummet_n will_v be_v sure_a to_o draw_v the_o thread_n perpendicule_a and_o for_o aught_o i_o know_v you_o may_v come_v as_o near_o this_o way_n as_o any_o other_o however_o this_o at_o most_o time_n may_v confirm_v and_o prove_v the_o other_o and_o may_v be_v useful_a in_o river_n and_o harbour_n and_o misty-daye_n when_o you_o may_v see_v the_o sun_n well_o enough_o but_o not_o the_o horizon_n at_o all_o use_v iii_o to_o find_v the_o sun_n altitude_n by_o a_o backward_a observation_n as_o with_o a_o back-staff_n or_o davis-quadrant_n screw_v the_o turning-sight_n to_o the_o leg-center_n or_o centre_n to_o the_o degree_n on_o the_o moveable-leg_n and_o set_v the_o object-sight_n to_o the_o long_a stroke_n by_o 00-60_a on_o the_o outside_n of_o the_o loose-piece_n and_o put_v the_o slide_a horizon-sight_n on_o the_o outside_n of_o the_o moveable-leg_n then_o hold_v the_o object-sight_n upward_o and_o the_o small-hole_n in_o the_o piece_n turn_v on_o the_o â—dge_n or_o to_o the_o small-hole_n in_o the_o middle_a of_o the_o horizon-sight_n which_o you_o please_v close_o to_o your_o eye_n and_o look_v through_o that_o hole_n and_o the_o middle-hole_n of_o the_o turning-sight_n to_o the_o true_a horizon_n turn_v yourself_o about_o and_o lift_v up_o or_o press_v down_o the_o horizon-sight_n close_o to_o the_o moveable-leg_n till_o the_o shadow_n of_o the_o upper-edge_n of_o the_o shadow-sight_n be_v next_o to_o the_o sun_n fall_v at_o the_o same_o time_n just_a on_o the_o middle_n of_o the_o turning-sight_n then_o i_o say_v the_o edge_n or_o middle_n of_o the_o horizon-sight_n that_o you_o look_v through_o shall_v cut_v the_o true_a altitude_n of_o the_o sun_n require_v be_v the_o same_o way_n as_o you_o do_v observe_v with_o a_o davis-quadrant_n or_o back-staff_n use_v iv._o to_o find_v the_o sun_n distance_n from_o the_o zenith_n by_o the_o trianguler-quadrant_n screw_v the_o turning-sight_n to_o the_o leg-center_n and_o put_v the_o object-sight_n who_o oval-hole_n be_v remote_a from_o the_o quadrant_n in_o the_o hole_n in_o the_o end_n of_o the_o head-leg_n or_o rather_o in_o a_o hole_n on_o the_o general_a scale_n between_o the_o turning-sight_n and_o the_o sun_n and_o put_v the_o horizon-sight_n on_o the_o outside_n of_o the_o moveable-leg_n then_o hold_v the_o turning-sight_n towards_o the_o sun_n and_o the_o small-hole_n in_o the_o edge_n of_o the_o horizon-sight_n to_o your_o eye_n then_o look_v through_o that_o hole_n and_o the_o turning-sight_n till_o you_o see_v the_o shadow_n the_o object-sight_n to_o fall_v just_a on_o the_o turning-sight_n or_o the_o shadow_n of_o the_o turning-sight_n to_o fall_v just_a on_o the_o object-sight_n which_o be_v all_o one_o though_o the_o first_o be_v more_o easy_a because_o you_o shall_v see_v the_o horizon_n through_o the_o turning-sight_n and_o that_o both_o at_o once_o then_o i_o say_v the_o degree_n cut_v by_o the_o horizon-sight_n shall_v be_v the_o sun_n distance_n from_o the_o zenith_n require_v be_v the_o very_a same_o work_n and_o do_v in_o the_o same_o manner_n and_o produce_v the_o same_o answer_n viz._n the_o sun_n distance_n from_o the_o zenith_n that_o the_o davis-quadrant_n do_v note_v that_o this_o way_n you_o may_v observe_v very_o convenient_o till_o the_o sun_n be_v 20_o degree_n distance_n from_o the_o zenith_n and_o by_o the_o add_v of_o a_o 60_o arch_n as_o in_o davis_n quadrant_n or_o to_o 45_o will_v be_v enough_o it_o will_v do_v as_o well_o as_o any_o davis_n quadrant_n be_v then_o the_o same_o thing_n but_o i_o conceive_v the_o compliment_n of_o the_o altitude_n be_v the_o same_o will_v do_v as_o well_o which_o altitude_n be_v better_a find_v by_o this_o instrument_n than_o the_o distance_n from_o the_o zenith_n by_o a_o davis_n quadrant_n be_v as_o in_o the_o next_o use_n will_v be_v see_v use_v v._o to_o find_v the_o sun_n altitude_n when_o near_o the_o zenith_n or_o above_o 90_o degree_n above_o some_o part_n of_o the_o horizon_n in_o small_a latitude_n or_o in_o place_n near_o the_o equinoctial_a or_o under_o it_o the_o sun_n will_v be_v find_v to_o be_v in_o or_o near_o the_o zenith_n and_o if_o you_o count_v from_o some_o part_n of_o the_o horizon_n above_o 90_o degree_n distant_a from_o it_o then_o instead_o of_o set_v the_o slide_a object-sight_n to_o the_o long_a stroke_n at_o 00_o on_o the_o loose-piece_n you_o must_v set_v it_o 30_o degree_n more_o towards_o the_o head-leg_n then_o observe_v as_o you_o do_v before_o and_o whatsoever_o the_o horizon-sight_n cut_v you_o must_v add_v 30_o degree_n more_o to_o it_o and_o the_o sum_n shall_v be_v the_o true_a altitude_n require_v example_n suppose_v that_o in_o the_o latitude_n of_o 10_o deg_n north_n on_o the_o 10_o of_o june_n when_o the_o sun_n declination_n be_v 23_o degree_n and_o 31_o min._n northward_o suppose_v that_o at_o noon_n i_o observe_v the_o sun_n meridian_n altitude_n screw_v the_o turning-sight_n to_o the_o leg-center_n and_o set_v the_o object-sight_n to_o the_o 30_o degree_n on_o the_o loose-piece_n near_o the_o end_n of_o the_o head-leg_n and_o the_o horizon-sight_n on_o the_o movable-leg_n then_o hold_v up_o the_o quadrant_n with_o the_o shadow-sight_n towards_o the_o sun_n and_o the_o small-hole_n in_o the_o horizon-sight_n towards_o your_o eye_n and_o look_v to_o the_o horizon_n through_o that_o and_o the_o turning-sight_n the_o shadow_n of_o the_o right-edge_n of_o the_o shadow-sight_n that_o cut_v the_o degree_n of_o 30_o at_o the_o same_o time_n fall_v on_o the_o middle_n of_o the_o turning-sight_n you_o shall_v find_v the_o horizon-sight_n to_o cut_v on_o 46-29_a minute_n to_o which_o if_o you_o add_v 30_o the_o degree_n the_o shadow-sight_n be_v set_v forward_o it_o make_v up_o 76-29_a the_o sun_n true_a altitude_n on_o that_o day_n in_o that_o latitude_n 76-29_a the_o meridian_n altitude_n and_o 23-31_a the_o declination_n add_v together_o make_v 100_o deg_n 00_o from_o which_o taking_n 90_o there_o remain_v 10_o the_o latitude_n of_o the_o place_n 1._o in_o this_o observation_n first_o you_o may_v note_v this_o that_o if_o you_o have_v stand_v with_o your_o back_n towards_o the_o south_n you_o will_v have_v have_v 103_o degree_n and_o 31_o minute_n for_o the_o slide_a horizon-sight_n will_v have_v stay_v at_o 73_o degree_n 30_o to_o which_o if_o you_o add_v 30_o it_o make_v 103-31_a which_o a_o davis_n quadrant_n will_v not_o do_v 2._o in_o the_o hold_v it_o you_o may_v lean_v the_o head_n of_o the_o rule_n to_o your_o breast_n and_o command_v it_o the_o better_a as_o to_o steady_a hold_v 3._o you_o may_v turn_v the_o turning-sight_n about_o to_o any_o convenient_a angle_n to_o make_v it_o fit_a to_o look_v through_o to_o the_o horizon_n and_o also_o to_o receive_v the_o shadow_n of_o the_o shadow-sight_n if_o the_o brightness_n of_o the_o sun_n offend_v the_o eye_n you_o may_v easy_o apply_v a_o red_a or_o a_o blue_a glass_n to_o darken_v the_o sun_n beam_n and_o the_o sight_n may_v be_v paint_v white_a to_o make_v a_o shadow_n be_v see_v better_a use_v vi_o to_o find_v the_o latitude_n at_o sea_n by_o a_o forward_a meridian_n observation_n of_o the_o altitude_n according_a to_o mr_n gunter_n bow_n screw_v the_o turning-sight_n to_o the_o leg-center_n and_o set_v the_o shadow-sight_n to_o the_o suns-declination_n and_o the_o horizon-sight_n to_o the_o move_a leg_n or_o loose-piece_n and_o the_o turning-sight_n to_o your_o eye_n then_o let_v the_o shadow-sight_n cut_v the_o horizon_n and_o the_o horizon-sight_n the_o sun_n move_v it_o high_o or_o low_a