to_o bring_v herself_o forty_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 depar_v ed_z from_o it_o make_v 51_o degree_n 56_o min._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 40_o deg_n 5â—_n min._n of_o the_o chord_n and_o apply_v it_o unto_o the_o table_n of_o longitude_n and_o it_o give_v 12_o league_n and_o 2_o mile_n and_o 62_o 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24_o  _fw-fr 18_o 2_o 24_o 4_o 3_o 21_o  _fw-fr 19_o 3_o 12_o 5_o 4_o 0_o  _fw-fr 20_o 4_o 0_o 6_o 4_o 48_o  _fw-fr 21_o 4_o 48_o 7_o 5_o 36_o  _fw-fr 22_o 5_o 36_o 8_o 6_o 24_o  _fw-fr 23_o 6_o 24_o 9_o 7_o 12_o  _fw-fr 24_o 7_o 12_o 10_o 8_o 0_o  _fw-fr 25_o 8_o 0_o 11_o 8_o 48_o  _fw-fr 26_o 8_o 48_o 12_o 9_o 36_o  _fw-fr 27_o 9_o 36_o 13_o 10_o 24_o  _fw-fr 28_o 10_o 24_o 14_o 11_o 12_o  _fw-fr 29_o 11_o 12_o 15_o 0_o 0_o  _fw-fr 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 four_o and_o twenty_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 thirteen_o degree_n in_o four_o and_o twenty_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 twelve_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 twelve_o degree_n make_v forty_o eight_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 that_o place_n upon_o the_o day_n desire_v as_o for_o example_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 the_o seaman_n glass_n the_o second_o book_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 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 of_o a_o sphere_n and_o the_o circle_n thereof_o the_o figure_n of_o the_o plain_a scale_n a_o sphere_n according_a to_o the_o description_n of_o theodosius_n be_v a_o certain_a solid_a supâ—_n ficies_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 poiâ—â—_n be_v call_v the_o centre_n of_o the_o sphere_n by_o which_o câ—â—â—er_n a_o right_a line_n be_v draw_v and_o excend_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 spherae_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_o sphaeram_fw-la rectam_fw-la &_o sphaeram_fw-la obliquam_fw-la sphaera_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_n 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 but_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_o circulos_fw-la majores_fw-la &_o 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 six_o great_a circle_n i._o 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_o principio_fw-la arietis_fw-la &_o librae_fw-la that_o be_v in_o 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_fw-la diei_fw-la &_o 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_n ii_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 twelve_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_v iv._o the_o two_o colour_n 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_fw-la again_o arcus_n vero_fw-la coluri_n 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_fw-la be_v call_v the_o great_a declination_n of_o the_o sun_n which_o ptolemy_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 â—e_v 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 brahe_n and_o that_o late_a famous_a mathematician_n mr._n edward_n right_a 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 v._o the_o other_o colour_n pass_v by_o the_o pole_n of_o the_o world_n &_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_n 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 &_o libra_n diebus_fw-la 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_o y_fw-fr 1._o 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 capricorni_fw-la 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 capricorn_n and_o be_v describe_v in_o the_o figure_n by_o the_o line_n gxf._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_fw-la 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 po._n the_o four_o and_o last_o of_o the_o lesser_a circle_n be_v describe_v in_o like_a 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 antarctick_a circle_n or_o the_o circle_n of_o the_o antarctick_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 nm_n chap._n iu._n definition_n of_o some_o peculiar_a term_n fit_a to_o be_v know_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 nadir_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 place_n of_o the_o sun_n in_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 star_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 azore_n from_o whence_o the_o beginning_n of_o longitude_n be_v account_v east_n ward_n 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 true_a 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 ascension_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 ascensionall_a be_v the_o difference_n betwixt_o the_o right_n 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 the_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 almicanterahs_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
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vt_fw-la cut_v the_o horizon_n bad_a in_o the_o point_n t_o then_o from_o the_o point_n t_o draw_v the_o line_n mtn_n parallel_n unto_o the_o equinoctial_a jah_n and_o cut_v the_o circle_n bcde_v in_o the_o point_n m_o and_o n_o so_o shall_v the_o distance_n m_o or_o hn_n 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 fourteen_o degree_n and_o fifty_o two_o minute_n chap._n xii_o the_o elevation_n of_o the_o pole_n the_o declination_n of_o the_o sun_n and_o hour_n of_o the_o day_n be_v give_v to_o find_v the_o almicanter_n the_o elevation_n of_o the_o pole_n be_v thirty_o degree_n the_o declination_n of_o the_o sun_n be_v twenty_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_v then_o draw_v the_o line_n bd_o for_o the_o horizon_n then_o 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be_v the_o point_n of_o twelve_o a_o clock_n at_o noon_n n_o the_o place_n of_o six_o a_o clock_n after_o noon_n o_o the_o place_n of_o twelve_o a_o clock_n or_o midnight_n and_o q_n 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 twenty_o four_o part_n represent_v the_o twenty_o four_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 nine_o of_o the_o clock_n which_o be_v three_o hour_n before_o noon_n take_v three_o of_o those_o twenty_o four_o hour_n and_o place_v they_o upon_o the_o circle_n lnoq_fw-la 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_n 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 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degree_n the_o elevation_n of_o the_o pole_n then_o from_o r_o unto_o the_o point_n a_o draw_v the_o line_n ras_n represent_v the_o pole_n of_o the_o world_n then_o draw_v the_o line_n fah_o cross_v the_o pole_n in_o a_o at_o right_a angle_n cut_v the_o meridian_n circle_n in_o f_o then_o from_o f_o set_v twenty_o degree_n the_o declination_n of_o â—he_n sun_n unto_o l_o and_o then_o from_o the_o point_n l_o draw_v the_o line_n lpo_n 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 lnoq_fw-la then_o from_o the_o horizon_n at_o b_o place_z the_o sun_n almicanter_n which_o be_v forty_o eight_o degree_n and_o eighteen_o minute_n upon_o the_o quadrant_n bgl_n from_o b_o unto_z g_z then_o from_o the_o point_n g_o draw_v the_o line_n gâ—_n parallel_v unto_o the_o horizon_n bad_a 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_n parallel_n to_o the_o pole_n of_o the_o world_n qan_n cut_v the_o circle_n lno_n in_o m_n then_o let_v ln_o be_v divide_v into_o six_o hour_n whereof_o lm_o be_v there_o whereupon_o i_o conclude_v that_o be_v 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 after_o noon_n chap._n fourteen_o the_o latitude_n of_o the_o place_n the_o declination_n of_o the_o sun_n and_o the_o altitude_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 by_o a_o nâ—w_a way_n differ_v from_o that_o in_o the_o former_a chapter_n
up_o a_o three_o and_o plummet_n which_o must_v hang_v at_o full_a liberty_n so_o that_o the_o shadow_n of_o the_o three_o may_v pass_v direct_o through_o the_o centre_n of_o the_o quadrant_n then_o diligent_o note_v â—_o through_o what_o degree_n of_o the_o quadrant_n the_o shadow_n pass_v and_o count_v those_o degree_n from_o the_o side_n of_o your_o quadrant_n which_o be_v perpendiâ—cular_a to_o the_o plain_a for_o those_o degree_n be_v the_o horizontall_a distance_n second_o at_o the_o same_o instant_n take_v the_o sun_n aâ—â—itude_n these_o two_o be_v heedful_o take_v will_v help_v you_o to_o the_o plain_n declination_n by_o the_o rule_n follow_v by_o the_o 17_o or_o 18_o chapter_n of_o the_o second_o book_n find_v the_o sun_n azimuth_n then_o observe_v whether_o the_o sun_n be_v between_o the_o pole_n of_o the_o plain_n horizontall_a line_n and_o the_o north_n or_o south_n point_n or_o not_o if_o the_o sun_n be_v between_o they_o add_v the_o azimuth_n and_o horizontall_a distance_n together_o and_o the_o sum_n of_o they_o be_v the_o declination_n of_o the_o plain_a if_o the_o sun_n be_v not_o between_o they_o subtract_v the_o lesser_a of_o they_o from_o the_o great_a and_o the_o difference_n shall_v be_v the_o declination_n of_o the_o plain_a these_o rule_n shâ—w_v you_o the_o quantity_n of_o your_o plain_n declination_n but_o chap._n x._o show_v how_o to_o know_v whether_o your_o plain_a declin_n from_o the_o meridian_n towards_o either_o the_o east_n or_o west_n you_o must_v take_v notice_n in_o your_o observation_n that_o if_o the_o meridian_n point_fw-fr fall_n between_o the_o azimuth_n and_o the_o pole_n of_o the_o plain_n horizontall_a line_n then_o do_v the_o plain_a decline_n to_o the_o coast_n contrary_a to_o that_o wherein_o the_o sun_n be_v that_o be_v to_o say_v if_o the_o sun_n be_v to_o the_o eastward_o of_o the_o meridian_n the_o plain_n decline_v to_o the_o westward_n but_o if_o the_o meridian_n point_n be_v not_o between_o the_o forementioned_a distance_n and_o the_o pole_n of_o the_o plain_a then_o do_v the_o plain_a decline_n to_o the_o same_o coast_n in_o which_o the_o sun_n be_v at_o the_o time_n of_o observation_n chap._n xi_o concern_v polar_a dial_n a_o polar_a dial_n be_v make_v in_o all_o respect_n as_o a_o east_n or_o west_n dial_n be_v make_v only_o the_o line_n of_o 6_o a_o clock_n in_o the_o east_n or_o west_n dial_n be_v 12_o a_o clock_n in_o the_o polar_a dial_n the_o hour_n of_o 7_o be_v 1_o of_o 8_o be_v 2_o of_o 9_o be_v â—_o of_o 10_o be_v 4_o and_o of_o 11_o be_v 5._o also_o the_o hour_n of_o 5_o in_o the_o east_n or_o west_n dial_n be_v 11_o in_o the_o polar_a of_o 4_o be_v 10_o of_o 3_o be_v 9_o of_o 2_o 8_o of_o â—_o be_v 7_o etc._n etc._n the_o cock_n of_o this_o dial_n be_v a_o plate_n of_o iron_n or_o brass_n make_v of_o the_o breadth_n between_o 12_o and_o 3_o a_o cloock_v and_o set_v perpendicular_a upon_o the_o line_n of_o 12_o as_o in_o the_o east_n or_o west_n dial_n it_o be_v upon_o the_o line_n of_o 6._o in_o these_o diall_n the_o equinoctial_a line_n be_v to_o lie_v parallel_n to_o the_o horizon_n and_o not_o to_o be_v elevate_v according_a to_o the_o compliment_n of_o the_o latitude_n of_o the_o place_n as_o in_o the_o east_n or_o west_n dial_n it_o be_v chap._n xii_o concern_v equinoctial_a diall_n a_o equinoctial_a dial_n be_v of_o all_o other_o diall_n the_o most_o easy_a to_o make_v for_o if_o you_o describe_v a_o circle_n and_o divide_v it_o into_o 24_o equal_a part_n and_o draw_v line_n from_o the_o centre_n through_o eveâ—â—_n one_o of_o those_o equal_a part_n the_o line_n so_o draw_v shall_v be_v the_o true_a hour_n line_n for_o the_o style_n of_o these_o diall_n it_o be_v no_o other_o but_o a_o straight_a wire_n of_o any_o length_n set_v perpendicular_a in_o the_o centre_n of_o the_o circle_n who_o shadow_n shall_v give_v the_o true_a hour_n of_o the_o day_n chap._n xiii_o of_o such_o plain_n as_o decline_v very_o far_o from_o the_o east_n or_o west_n towards_o the_o meridian_n as_o 75_o 80_o or_o 85_o deg_n above_o which_o plain_n the_o pole_n have_v small_a elevation_n such_o plain_n as_o decline_v above_o 60_o degree_n the_o hour_n line_n will_v come_v very_o close_o together_o so_o that_o if_o they_o be_v not_o extend_v very_o far_o from_o the_o centre_n there_o will_v be_v no_o sensible_a distance_n between_o hour_n and_o hour_n to_o remedy_v this_o inconvenience_n there_o be_v several_a way_n i_o will_v instance_n only_o in_o one_o which_o be_v familiar_a and_o easy_a and_o that_o be_v this_o when_o 〈◊〉_d have_v 〈…〉_z your_o dial_n on_o a_o large_a sheet_n of_o paper_n fix_v it_o on_o some_o large_a table_n or_o smooth_a floor_n of_o a_o room_n if_o the_o dial_n you_o be_v to_o make_v be_v very_o large_a as_o 5_o 6_o or_o 7_o foot_n square_a then_o by_o the_o side_n of_o a_o long_a rular_a lay_v to_o the_o centre_n and_o every_o hour_n line_n as_o also_o to_o the_o style_n and_o substile_n draw_v line_n to_o the_o full_a extent_n of_o the_o table_n or_o flour_n and_o you_o shall_v find_v they_o to_o be_v of_o a_o competent_a largeness_n then_o according_a to_o the_o bigness_n of_o your_o plain_n cut_v off_o the_o hour_n style_n and_o substile_n leave_v the_o centre_n quite_o ouâ—_n and_o your_o work_n be_v finish_v chap_n xiiii_o concern_v decline_a reclining_a and_o incline_v dial_n we_o shall_v now_o show_v the_o manner_n of_o draw_v hour_n line_n upon_o decline_a recline_a and_o incline_v plain_n of_o which_o there_o be_v several_a variety_n and_o many_o caution_n which_o in_o this_o place_n and_o at_o this_o time_n will_v be_v too_o many_o to_o ennumerate_v but_o if_o this_o which_o have_v be_v already_o deliver_v concern_v upright_a decliner_n shall_v be_v kind_o accept_v it_o shall_v animate_v i_o to_o do_v the_o like_a for_o all_o other_o plain_n whatsoever_o finis_fw-la advertisement_n note_v that_o this_o scale_n and_o all_o other_o instrument_n for_o the_o mathematics_n be_v make_v by_o walter_n hayes_n at_o the_o cross_a dagger_n in_o moor_n fields_n next_o door_n to_o the_o pope_n head_n tavern_n london_n
descension_n of_o the_o sun_n or_o any_o star_n who_o right_a ascension_n and_o difference_n of_o ascension_n be_v know_v but_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 substract_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 substract_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 the_o end_n of_o the_o second_o book_n the_o seaman_n glass_n the_o three_o book_n show_v how_o by_o the_o plain-scale_n to_o delineate_v houre-line_n upon_o all_o kind_n of_o upright_a plain_n either_o direct_a or_o decline_a in_o any_o latitude_n the_o figure_n of_o the_o plain_a scale_n chap._n ay_o how_o to_o draw_v hour_n line_n upon_o a_o horizontal_n plain_n in_o any_o latitude_n with_o the_o radius_fw-la of_o your_o line_n of_o chord_n upon_o e_o as_o a_o centre_n describe_v the_o circle_n abcd_n and_o cross_v it_o with_o he_o diameter_n ab_fw-la and_o cd_o this_o do_v out_o of_o the_o line_n of_o chord_n take_v the_o compliment_n of_o the_o latitude_n of_o your_o place_n which_o we_o here_o suppose_v to_o be_v london_n who_o latitude_n be_v 51_o deg_n 30_o m._n and_o its_o compliment_n 38._o deg_n 30_o m._n which_o set_v from_o b_o to_z g_z from_o g_z to_z n_o and_o from_o d_o to_o m_n then_o lay_v a_o ruler_n from_o a_o to_o g_o and_o it_o will_v cut_v the_o line_n cd_o in_o h_n and_o from_o a_o to_o n_o it_o will_v cut_v c_o d_o in_o o_o and_o from_o a_o to_o m_o it_o will_v cut_v the_o same_o line_n in_o f._n this_o do_v upon_o o_fw-la as_o a_o centre_n place_v one_o foot_n of_o your_o compass_n and_o extend_v the_o other_o foot_n to_o f_o and_o with_o this_o distance_n describe_v a_o arch_n of_o a_o circle_n which_o if_o the_o rest_n of_o your_o work_n be_v true_a will_v fall_v just_a in_o the_o point_v a_o and_o b_o and_o so_o constitute_v the_o arch_a afb_n represent_v the_o equinoctial_a circle_n and_o so_o we_o shall_v hereafter_o call_v it_o have_v draw_v the_o equinoctial_a afb_n divide_v the_o semicircle_n adb_n into_o 12_o equal_a part_n in_o the_o point_n ***_o etc._n etc._n then_o lay_v a_o ruler_n to_o the_o centre_n e_o and_o every_o one_o of_o these_o mark_n ***_o etc._n etc._n it_o will_v divide_v the_o equinoctial_a circle_n into_o 12_o unequal_a part_n in_o the_o point_n â—â—â—â—_o etc._n etc._n again_o lay_v a_o ruler_n to_o h_n and_o every_o of_o these_o unequal_a part_n â—â—â—â—_o etc._n etc._n it_o will_v cut_v the_o semicircle_n adb_n in_o the_o point_v 7_o 8_o 9_o 10_o 11_o 12_o 1_o 2_o 3_o 4_o 5_o and_o 6._o last_o if_o you_o lay_v a_o ruler_n on_o the_o centre_n e_o and_o from_o thence_o draw_v right_a line_n to_o the_o several_a point_n 7_o 8_o 9_o 10_o etc._n etc._n they_o shall_v be_v 12_o of_o the_o true_a houre-line_n belong_v to_o a_o horizontall_a dial_n for_o the_o latitude_n of_o 51_o degree_n 30_o minute_n but_o for_o the_o hour_n before_o 6_o in_o the_o morning_n and_o after_o 6_o at_o night_n do_v thus_o draw_v the_o hour_n live_v of_o 4_o and_o 5_o in_o the_o evening_n quite_o through_o the_o centre_n e_o and_o they_o shall_v be_v the_o hour_n of_o 4_o and_o 5_o in_o the_o morning_n also_o 7_o and_o 8_o in_o the_o morning_n draw_v through_o the_o centre_n shall_v give_v the_o hour_n of_o 7_o and_o 8_o at_o night_n as_o in_o the_o figure_n chap_n ii_o concern_v direct_a south_n dial_n a_o direct_a south_n dial_n be_v no_o other_o than_o a_o horizontall_a dial_n the_o make_v whereof_o be_v before_o describe_v the_o difference_n consist_v only_o in_o the_o number_n of_o the_o hour_n and_o in_o the_o place_n of_o it_o the_o one_o be_v to_o be_v fix_v on_o a_o post_n or_o the_o like_a and_o the_o other_o to_o be_v fix_v to_o a_o wall_n which_o exact_o behold_v the_o south_n i_o say_v here_o be_v no_o other_o difference_n for_o  _fw-fr degree_n  _fw-fr degree_n an_o horizontall_a dial_n for_o the_o latitude_n of_o 10_o will_v be_v a_o direct_a south_n dial_n in_o the_o latitude_n of_o 80_o 20_o 70_o 30_o 60_o 40_o 50_o 50_o 40_o 60_o 30_o 70_o 20_o 80_o 10_o and_o the_o like_a in_o any_o other_o latitude_n as_o 15_o 16_o 33_o etc._n etc._n chap._n iii_o of_o driect_a north_n diall_n a_o direct_a north_n dial_n be_v the_o same_o with_o a_o direct_a south_n dial_n for_o iâ—_n you_o take_v a_o south_n dial_n and_o turn_v it_o upside_o down_o cause_v the_o scâ—le_n or_o cock_n to_o point_v upward_o as_o the_o cock_n of_o the_o south_n do_v down_o ward_n and_o leave_v out_o the_o hour_n near_o the_o meridian_n in_o these_o northern_a latitude_n as_o the_o hour_n of_o 9_o 10_o 11_o and_o 12_o at_o night_n and_o 1_o 2_o and_o 3_o in_o the_o morning_n all_o which_o time_n the_o sun_n be_v under_o the_o horizon_n i_o say_v a_o south_n dial_n so_o dispose_v and_o fix_v against_o a_o direct_a north_n wall_n shall_v give_v you_o the_o true_a hour_n of_o the_o day_n chap._n iu._n how_o to_o draw_v the_o hour_n line_n on_o a_o direct_a east_n or_o west_n plain_a this_o do_v upon_o the_o point_n g_o with_o the_o radius_fw-la of_o your_o chord_n descirbe_v a_o occult_a arch_n of_o a_o circle_n h_n i_o and_o set_v thereon_o 15_o degree_n fr_n on_fw-we h_n to_o i_o then_o from_o g_z through_z i_o draw_v the_o line_n g_o k_n cut_v n_o min_n k_n on_o k_o as_o a_o centre_n with_o the_o radius_fw-la of_o your_o chord_n describe_v the_o quadrant_a k_o s_o t_o which_o divide_v into_o 6_o equal_a part_n in_o the_o point_n â—â—â—â—_o through_o which_o point_n and_o k_o draw_v the_o line_n kâ—_n kâ—_n etc._n etc._n cut_v the_o equinoctial_a ebb_n in_o ****_o etc._n etc._n through_o these_o point_n ***_o etc._n etc._n draw_v right_a line_n quiet_a through_o your_o plain_a perpendicular_a to_o the_o equinoctial_a which_o will_v be_v parallel_n to_o your_o line_n of_o vi_o and_o xi_o and_o will_v be_v the_o true_a hour_n of_o vii_o viii_o ix_o and_o x_o than_o the_o like_a distance_n of_o vii_o and_o viii_o set_v above_o vi_o on_o the_o other_o side_n and_o draw_v parallel_n thereto_o shall_v be_v the_o true_a hour_n of_o four_o and_o v._o and_o thus_o have_v you_o all_o the_o hour_n of_o a_o east_n dial_n true_o draw_v which_o be_v from_o four_o in_o the_o morning_n till_o eleven_o at_o noon_n and_o be_v the_o same_o with_o a_o west_n dial_n only_o name_v the_o hour_n contrary_a for_o in_o the_o east_n dial_n 4_o 5_o 6_o 7_o 8_o 9_o 10_o 11_o in_o the_o morning_n be_v in_o the_o west_n dial_n 8_o 7_o 6_o 5_o 4_o 3_o 2_o 1_o h_o in_o the_o evening_n the_o style_n of_o either_o of_o these_o dial_n be_v a_o t_o in_o plate_n of_o brass_n make_v direct_o of_o the_o breadth_n of_o the_o distance_n between_o the_o hour_n of_o vi_o and_o ix_o and_o must_v be_v place_v direct_o perpendicular_a upon_o the_o line_n of_o vi_o and_o so_o be_v your_o dial_n finish_v chap._n v._n of_o upright_a decline_a plain_n before_o we_o come_v to_o draw_v the_o hour_n line_n upon_o a_o decline_a plain_n two_o thing_n be_v first_o to_o be_v discover_v viz._n first_o the_o height_n of_o the_o pole_n above_o the_o plain_a which_o be_v the_o height_n of_o the_o cock_n or_o style_n second_o the_o deflexion_n or_o distance_n of_o the_o substile_a from_o the_o meridian_n or_o line_n of_o twelve_o a_o clock_n 1._o to_o find_v the_o height_n of_o the_o pole_n above_o a_o decline_a plain_n with_o the_o tadius_fw-la of_o your_o line_n of_o chord_n upon_o a_o as_o a_o centre_n describe_v the_o quadrant_n ab_fw-la c_z than_o your_o latitude_n be_v 51_o deg_n 30_o min._n take_v it_o out_o of_o your_o line_n of_o chord_n and_o set_v it_o from_o b_o to_o f_o and_o draw_v the_o line_n ed_z parallel_n to_o ab_fw-la cut_v the_o line_n ac_fw-la in_o d_o then_o with_o the_o distance_n de_fw-fr on_o the_o centre_n a_o describe_v the_o quadrant_n ghr_n then_o suppose_v your_o plain_n to_o decline_v 30_o deg_n set_v 30_o deg_n from_o b_o to_o f_o in_o the_o quadrant_n bec_n and_o draw_v the_o line_n favorina_n cut_v the_o quadrant_n ghr_n in_o h_n through_o which_o point_n h_n draw_v the_o line_n shn_n parallel_v to_o
ca_n and_o cut_v the_o quadrant_n be_v c_o in_o n_o so_o shall_v the_o arch_n cn_fw-la be_v the_o height_n of_o the_o pole_n above_o the_o plain_a and_o in_o this_o example_n contain_v 32_o deg_n 37_o min._n 2._o to_o find_v the_o deflexion_n or_o the_o distance_n of_o the_o substile_a from_o the_o meridian_n out_o of_o this_o figure_n take_v the_o distance_n his_o and_o set_v it_o in_o the_o line_n de_fw-fr from_o d_o to_o k_o through_o which_o point_n k_o draw_v the_o line_n akl_n cut_v the_o quad_n ant_n bc_n in_o l_o so_o shall_v the_o arch_n cl_n be_v the_o distance_n of_o the_o substile_a from_o the_o meridian_n and_o in_o thls_n example_n will_v be_v find_v to_o be_v 21_o degree_n 42_o minute_n chap._n vi_o how_o to_o draw_v the_o houre-line_n upon_o a_o upright_a plain_n decline_v from_o the_o meridian_n towards_o the_o east_n or_o west_n we_o will_v here_o take_v for_o example_n a_o south_n erect_v plain_a decline_v eastward_o 30_o deg_n have_v by_o the_o five_o chapter_n of_o this_o book_n find_v the_o deflâ—xion_n of_o such_o a_o plain_a to_o be_v 21_o deg_n 42_o min._n and_o the_o height_n of_o â—he_n â—â—ile_n by_o the_o same_o chapter_n to_o be_v 32_o deg_n 37_o min._n we_o may_v proceed_v to_o draw_v the_o dial_n in_o manner_n follow_v with_o the_o radius_fw-la of_o your_o line_n of_o chord_n on_o the_o centre_n c_o describe_v the_o circle_n xnsw_n and_o in_o it_o draw_v sn_a through_o the_o centre_n c_o for_o the_o meridian_n or_o line_n of_o 12._o then_o the_o deflexion_n be_v find_v to_o be_v 21_o deg_n 42_o min._n set_v that_o from_o n_o to_z e_z and_o draw_v the_o line_n â—c_z through_o the_o centre_n to_o g_o this_o line_n represent_v the_o substilar_a line_n of_o your_o dial_n upon_o which_o line_n the_o style_n or_o coâ—k_n must_v stand_v also_o out_o from_o your_o line_n of_o chord_n take_v 32_o deg_n 37_o min._n the_o height_n of_o the_o sâ—ile_n and_o set_v that_o distance_n from_o e_o to_o h_n and_o draw_v the_o line_n ch_z for_o the_o style_n of_o your_o dial_n so_o shall_v the_o triangle_n each_o be_v the_o true_a pattern_n for_o the_o cock_n of_o your_o dial_n the_o substilar_a line_n eglantine_n be_v 〈◊〉_d â—â—aw_v the_o line_n xw_o through_o the_o centre_n c_o and_o perpendicular_a to_o eglantine_n this_o do_v take_v the_o distance_n eh_n which_o be_v equal_a to_o the_o style_n height_n and_o set_v that_o distance_n from_o a_o to_o b_o and_o from_o w_o to_o d._n likewise_o take_v the_o distance_n from_o w_o to_z b_o and_o set_v it_o from_o b_o to_o i._o these_o three_o point_n i_o b_o and_o d_o be_v find_v in_o the_o circumference_n of_o the_o circle_n xnsw_n lay_v a_o ruler_n from_o x_o to_o i_o and_o it_o will_v cut_v the_o substilar_a line_n aec_fw-la be_v extend_v in_o the_o point_n g_o which_o be_v the_o centre_n upon_o which_o the_o equinoctial_a circle_n must_v be_v describe_v again_o a_o ruler_n lay_v from_o x_o to_o b_o will_v cut_v the_o substilar_a line_n in_o f_o and_o a_o ruler_n lay_v from_o x_o to_o d_o will_v cut_v the_o substilar_a in_o o._n now_o if_o you_o set_v one_o foot_n of_o your_o compass_n in_o g_o and_o extend_v the_o other_o to_o x_o or_o w_n you_o may_v describe_v the_o equinoctial_a circle_n xow_n which_o if_o you_o have_v not_o err_v in_o your_o former_a work_n will_v pass_v exact_o through_o the_o point_n o_o in_o the_o substilar_a line_n before_o find_v in_o the_o next_o place_n if_o you_o lay_v a_o ruler_n from_o f_o to_o n_o it_o will_v cut_v the_o equinoctial_a circle_n in_o p_o and_o a_o ruler_n lay_v from_o c_o to_o p_o will_v cut_v the_o dial_n circle_n in_o v._n these_o thing_n be_v perform_v the_o next_o thing_n be_v to_o draw_v the_o hour_n line_n which_o will_v be_v easy_o effect_v if_o you_o 〈◊〉_d the_o former_a direction_n first_o from_o the_o point_n five_o last_o find_v begin_v to_o divide_v your_o hour_n circle_n into_o 24_o equal_a part_n or_o only_o one_o half_a of_o it_o into_o 12_o part_n which_o you_o may_v do_v by_o take_v 15_o deg_n out_o of_o your_o line_n of_o chord_n and_o set_v that_o distance_n on_o both_o side_n of_o five_o at_o the_o mark_n âš¹_o âš¹_o âš¹_o etc._n etc._n so_o many_o time_n as_o the_o plain_n be_v capable_a of_o hour_n this_o do_v if_o you_o lay_v a_o ruler_n on_o the_o centre_n c_o and_o every_o of_o these_o point_n ****_o etc._n etc._n you_o shall_v divide_v the_o equinoctial_a circle_n into_o 12_o unequal_a part_n in_o the_o point_n â—â—â—â—_o etc._n etc._n now_o a_o ruler_n lay_v from_o f_o to_o every_o of_o these_o unequal_a point_n â—â—â—â—_o etc._n etc._n will_v divide_v the_o hour_n circle_n into_o 12_o other_o unequal_a part_n mark_v with_o 4._o 5._o 6._o 7._o 8._o 9_o 10._o 11._o 12._o 1._o on_o the_o one_o side_n of_o five_o and_o with_o 2._o 3_o â—n_n the_o other_o side_n of_o v._n last_o a_o ruler_n lay_v from_o c_o to_o the_o several_a point_n 4._o 5._o 6._o 7._o 8._o 9_o 10._o 11._o 12._o 1._o 2._o 3._o and_o line_n draw_v by_o the_o side_n thereof_o they_o shall_v be_v the_o true_a hour_n line_n belong_v to_o such_o a_o decline_a plain_n of_o 30_o deg_n in_o the_o latitude_n of_o 51_o deg_n 30_o min._n but_o if_o you_o desire_v more_o hour_n than_o 12_o the_o equinoctial_a may_v be_v divide_v into_o more_o unequal_a part_n be_v continue_v beyond_o x_o and_o w_n and_o if_o you_o will_v quite_o round_o the_o whole_a circle_n but_o that_o be_v needless_a without_o you_o will_v make_v 4_o diall_n in_o the_o make_v of_o one_o as_o you_o may_v easy_o do_v for_o the_o hour_n that_o be_v on_o the_o west_n side_n of_o the_o meridian_n of_o a_o south_n east_n dial_n be_v draw_v through_o the_o centre_n will_v make_v a_o north_n west_n dial_n of_o the_o same_o declination_n and_o the_o hour_n on_o the_o east_n side_n of_o the_o meridian_n of_o a_o south_n west_n dial_n be_v draw_v through_o the_o centre_n will_v produce_v a_o north_n east_n dial_n of_o the_o same_o declination_n and_o again_o the_o real_a hour_n line_n of_o a_o south_n east_n dial_n be_v draw_v on_o the_o other_o side_n of_o the_o paper_n and_o the_o hour_n name_v by_o their_o compliment_n to_o 12_o that_o be_v 10_o for_o 2_o 9_o for_o 3_o 8_o for_o 4_o etc._n etc._n will_v make_v a_o south_n west_n dial_n of_o the_o same_o declination_n chap._n vii_o how_o to_o place_v any_o upright_a dial_n true_o all_o upright_a diall_n in_o what_o oblique_a latitude_n soever_o have_v the_o meridian_n perpendicular_a to_o the_o horizon_n wherefore_o to_o set_v your_o dial_n exact_a hang_v a_o line_n with_o a_o plummet_n at_o the_o end_n thereof_o and_o with_o a_o nail_n fix_v in_o the_o line_n of_o 12_o towards_o the_o top_n thereof_o to_o hang_v the_o plummet_n upon_o apply_v the_o dial_n to_o the_o place_n where_o it_o be_v to_o be_v fix_v so_o that_o the_o line_n and_o plummet_n may_v hang_v just_a down_o upon_o the_o line_n of_o 12_o neither_o incline_n on_o one_o side_n or_o the_o other_o the_o dial_n thus_o fix_v if_o the_o declination_n be_v true_o take_v and_o the_o dial_n right_o make_v by_o the_o former_a direction_n shall_v at_o all_o time_n the_o sun_n shine_v upon_o it_o give_v you_o the_o true_a hour_n of_o the_o day_n chap._n viii_o how_o to_o insert_v the_o halue_fw-mi and_o quarter_n of_o hour_n in_o all_o diall_n the_o half_n and_o quarter_n of_o hour_n be_v draw_v in_o all_o plain_n by_o the_o same_o rule_n and_o the_o like_a reason_n that_o the_o hour_n be_v insert_v therefore_o take_v notice_n that_o if_o you_o will_v insert_v the_o half_a hour_n into_o any_o dial_n you_o must_v divide_v your_o equinoctial_a circle_n into_o 24_o equal_a part_n instead_o of_o 12_o and_o if_o you_o will_v insert_v the_o quarter_n than_o you_o must_v divide_v it_o into_o 48_o part_n and_o then_o proceed_v in_o all_o respect_n as_o you_o do_v for_o the_o whole_a hour_n chap._n ix_o how_o to_o find_v the_o declinatioon_n of_o any_o upright_a wall_n the_o declination_n of_o a_o plain_a be_v a_o arch_n of_o the_o horizon_n comprehend_v between_o the_o pole_n of_o the_o plain_n horizontall_a line_n and_o the_o meridian_n of_o the_o place_n to_o find_v this_o declination_n two_o observation_n must_v be_v make_v the_o sun_n shine_v and_o both_o at_o one_o instant_a of_o time_n as_o near_o as_o may_v be_v the_o first_o be_v the_o horizontall_a distance_n of_o the_o sun_n from_o the_o pole_n of_o the_o plain_a the_o second_o be_v the_o sun_n altitude_n first_o to_o find_v the_o horizontall_a distance_n apply_v the_o side_n of_o a_o quadrant_n to_o your_o plain_n hold_v it_o as_o near_o as_o may_v be_v horizontall_a that_o be_v to_o say_v level_v then_o hold_v