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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
end_n north_n side_n south_n 2,400 5 9.1749 5 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
B00108 De sectore & radio. The description and vse of the sector in three bookes. The description and vse of the cross-staffe in other three bookes. For such as are studious of mathematicall practise. Gunter, Edmund, 1581-1626. 1623 (1623) STC 12521.5; ESTC S92789 193,390 347

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l_o these_o question_n well_o consider_v and_o either_o resolve_v by_o the_o staff_n or_o prick_v down_o on_o the_o chart_n and_o compare_v with_o the_o globe_n and_o the_o common_a sea-chart_n will_v give_v some_o light_n to_o the_o direction_n of_o a_o course_n and_o reduction_n of_o place_n to_o their_o due_a longitude_n which_o be_v now_o foul_o distort_v in_o the_o common_a sea-charts_a a_o appendix_n concern_v the_o description_n and_o use_n of_o a_o instrument_n make_v in_o form_n of_o a_o crossbow_n for_o the_o more_o easy_a find_n of_o the_o latitude_n at_o sea_n the_o former_a prop._n suppose_v the_o latitude_n to_o be_v know_v i_o will_v here_o show_v how_o it_o may_v be_v easy_o observe_v upon_o the_o centre_n a_o and_o semidiameter_n ab_fw-la describe_v a_o ark_n of_o a_o circle_n sbn._n the_o same_o semidiameter_n will_v set_v of_o 60_o gr_n from_z b_o unto_o s_n for_o the_o south_n end_n and_o other_o 60_o gr_n from_z b_o unto_o n_n for_o the_o north_n end_n of_o the_o bow_n so_o the_o whole_a bow_n will_v contain_v 120_o gr_n the_o three_o part_n of_o a_o circle_n let_v it_o therefore_o be_v divide_v into_o so_o many_o degree_n and_o each_o degree_n subdivide_v into_o six_o part_n that_o each_o part_n may_v be_v ten_o minute_n but_o let_v the_o number_n set_v to_o it_o be_v 5._o 10._o 15._o unto_o 90_o gr_n and_o then_o again_o 5._o 10._o 15._o unto_o 25._o that_o 55_o may_v fall_v in_o the_o middle_n as_o in_o this_o figure_n the_o bow_n be_v thus_o divide_v and_o number_v you_o may_v se●_n the_o month_n and_o day_n of_o each_o month_n upon_o the_o back_n and_o such_o star_n as_o be_v fit_a for_o observation_n upon_o the_o side_n of_o the_o bow_n if_o you_o desire_v to_o make_v use_n of_o it_o in_o north_n latitude_n you_o may_v number_v 23_o gr_n 30_o m._n from_o 90_o towards_o the_o end_n of_o the_o bow_n at_o n_n and_o there_o place_v the_o ten_o day_n of_o june_n and_o 23_o gr_n 30_o m._n from_o 90_o towards_o s_n and_o there_o at_o 66_o gr_n 30_o m._n place_n the_o ten_o day_n of_o december_n and_o so_o the_o rest_n of_o the_o day_n of_o the_o year_n according_a to_o the_o declination_n of_o the_o sun_n at_o the_o same_o day_n the_o star_n may_v be_v place_v in_o like_a manner_n according_a to_o their_o declination_n arcturus_n at_o 21_o gr_n 10_o m._n the_o bull_n eye_n 15_o 42_o the_o lion_n heart_n 13_o 45_o the_o vulture_n heart_n 7_o 58_o the_o little_a dog_n 6_o 9_o from_o 90_o towards_o the_o north_n end_n of_o the_o bow_n at_o n._n then_o for_o southern_a star_n you_o may_v number_v their_o declination_n from_o 90_o towards_o the_o south_n end_n of_o the_o bow_n at_o s._n as_o first_o the_o three_o star_n in_o orion_n girdle_n the_o first_o at_o 0_o gr_n 37_o m._n the_o second_o 1_o 28_o the_o three_o 2_o 11_o the_o hydra_n heart_n 7_o 5_o the_o virgin_n spike_n 9_o 10_o the_o great_a dog_n 16_o 12_o the_o scorpion_n heart_n 25_o 30_o fomahant_n 31_o 30_o and_o so_o the_o south_n crown_n the_o triangle_n the_o cloud_n the_o crosier_n or_o what_o other_o star_n you_o think_v fit_a for_o observation_n this_o i_o call_v the_o fore_a side_n of_o the_o bow_n if_o you_o desire_v to_o make_v use_n of_o it_o in_o south_n latitude_n you_o may_v turn_v the_o bow_n and_o divide_v the_o back_n side_n of_o it_o and_o number_v it_o in_o like_a manner_n and_o then_o put_v on_o the_o month_n and_o day_n of_o the_o year_n place_v the_o ten_o of_o december_n at_o the_o south_n end_n and_o the_o ten_o of_o june_n towards_o the_o middle_n of_o the_o bow_n and_o the_o rest_n of_o the_o day_n according_a to_o the_o sun_n declination_n as_o before_o the_o chief_a of_o the_o northern_a star_n may_v here_o be_v place_v in_o like_a manner_n according_a to_o their_o declination_n anno_fw-la 1625._o the_o pole_n star_n at_o 87_o gr_n 20_o m._n the_o first_o guard_n 75_o 45_o the_o second_o guard_n 73_o 25_o the_o great_a bear_n back_o 63_o 45_o in_o the_o great_a bear_n tail_n first_o second_v three_o 58_o 2_o 57_o 55_o 51_o 15_o the_o side_n of_o perseus_n 48_o 28_o the_o goat_n 45_o 33_o the_o tail_n of_o the_o swan_n 44_o 0_o the_o head_n of_o medusa_n 39_o 30_o the_o harp_n 38_o 30_o castor_n 32_o 38_o pollux_n 28_o 52_o the_o north_n crown_v 28_o 0_o the_o ram_n head_n 21_o 40_o arcturus_n 21_o 10_o the_o bull_n eye_n 15_o 42_o the_o lion_n heart_n 13_o 45_o the_o vulture_n heart_n 7_o 58_o orion_n right_a shoulder_n 7_o 17_o orion_n left_a shoulder_n 5_o 57_o and_o so_o any_o other_o star_n who_o declination_n be_v know_v unto_o you_o which_o be_v do_v the_o use_n of_o this_o bow_n may_v be_v 1_o the_o day_n of_o the_o month_n be_v know_v to_o find_v the_o declination_n of_o the_o sun_n 2_o the_o declination_n be_v give_v to_o find_v the_o day_n of_o the_o month_n these_o two_o prop._n depend_v on_o the_o make_n of_o the_o bow_n if_o the_o day_n be_v know_v look_v it_o out_o in_o the_o back_n of_o the_o bow_n so_o the_o declination_n will_v appear_v in_o the_o side_n or_o if_o the_o declination_n be_v know_v the_o day_n of_o the_o month_n be_v set_v over_o against_o it_o as_o if_o the_o day_n of_o the_o month_n be_v the_o 14_o of_o july_n look_v for_o this_o day_n in_o the_o back_n of_o the_o bow_n and_o you_o shall_v find_v it_o over_o against_o 20_o gr_n of_o north_n declination_n if_o the_o declination_n give_v be_v 20_o gr_n to_o the_o southward_n you_o shall_v find_v the_o day_n to_o be_v either_o the_o eleven_o of_o november_n or_o the_o eleven_o of_o january_n 3_o to_o find_v the_o altitude_n of_o the_o sun_n or_o star_n here_o it_o be_v fit_a to_o have_v two_o run_a sight_n which_o may_v be_v easy_o move_v on_o the_o back_n of_o the_o bow_n the_o upper_a sight_n may_v be_v set_v either_o to_o 60_o gr_n or_o to_o 70_o gr_n or_o to_o 80_o gr_n as_o you_o shall_v find_v to_o be_v most_o convenient_a the_o other_o sight_n may_v be_v set_v on_o to_o any_o place_n between_o the_o middle_n and_o the_o other_o end_n of_o the_o bow_n then_o with_o the_o one_o hand_n hold_v the_o centre_n of_o the_o bow_n to_o your_o eye_n so_o as_o you_o may_v see_v the_o sun_n or_o star_n by_o the_o upper_a sight_n and_o with_o the_o other_o hand_n move_v the_o low_a sight_n up_o or_o down_o until_o you_o have_v bring_v one_o of_o the_o edge_n of_o it_o to_o be_v even_o with_o the_o horizon_n as_o when_o you_o observe_v with_o the_o crosse-staffe_n so_o the_o degree_n contain_v between_o that_o edge_n and_o the_o upper_a sight_n shall_v show_v the_o altitude_n require_v thus_o if_o the_o upper_a sight_n shall_v be_v at_o 80_o gr_n and_o the_o low_a sight_n at_o 50_o gr_n the_o altitude_n require_v be_v 30_o gr_n 4_o to_o find_v any_o north_n latitude_n by_o know_v either_o the_o day_n of_o the_o month_n or_o the_o declination_n of_o the_o sun_n as_o oft_o as_o you_o be_v to_o observe_v in_o north_n latitude_n place_v both_o the_o sight_n on_o the_o foreside_n of_o the_o bow_n the_o upper_a sight_n to_o the_o declination_n of_o the_o sun_n or_o the_o day_n of_o the_o month_n at_o the_o north_n end_n and_o the_o low_a sight_n towards_o the_o south_n end_n then_o when_o the_o sun_n come_v to_o the_o meridian_n turn_v your_o face_n to_o the_o south_n and_o with_o the_o one_o hand_n hold_v the_o centre_n of_o the_o bow_n to_o your_o eye_n so_o as_o you_o may_v see_v the_o sun_n by_o the_o upper_a sight_n with_o the_o other_o hand_n move_v the_o low_a sight_n until_o you_o have_v bring_v one_o of_o the_o edge_n of_o it_o to_o be_v even_o with_o the_o horizon_n so_o that_o edge_n of_o the_o low_a sight_n shall_v show_v the_o latitude_n of_o the_o place_n in_o the_o before_o side_n of_o the_o bow_n thus_o be_v in_o north_n latitude_n upon_o the_o nine_o of_o october_n if_o i_o set_v the_o upper_a sight_n to_o this_o day_n at_o the_o fore_a side_n and_o north_n end_n of_o the_o bow_n i_o shall_v find_v it_o to_o fall_v to_o the_o southward_n of_o 90_o upon_o 80_o gr_n and_o therefore_o at_o 10_o gr_n of_o south_n declination_n then_o the_o sun_n come_v to_o the_o meridian_n i_o may_v set_v the_o centre_n of_o the_o bow_n to_o my_o eye_n as_o if_o i_o go_v to_o find_v the_o altitude_n of_o the_o sun_n hold_v the_o north_n end_n of_o the_o bow_n upward_o with_o the_o upper_a sight_n between_o my_o eye_n and_o the_o sun_n and_o move_v the_o low_a sight_n until_o it_o come_v to_o be_v even_o with_o the_o horizon_n if_o here_o the_o low_a sight_n shall_v stay_v a●_n 50_o gr_n i_o may_v well_o say_v that_o
the_o latitude_n be_v 50_o gr_n for_o the_o meridian_n altitude_n of_o the_o sun_n be_v 30_o gr_n by_o the_o last_o prop._n and_o the_o sun_n have_v 10_o gr_n of_o south_n declination_n the_o meridian_n altitude_n of_o the_o equator_fw-la will_v be_v 40_o gr_n and_o therefore_o the_o observation_n be_v make_v in_o 50_o gr_n of_o north_n latitude_n by_o the_o same_o reason_n if_o the_o low_a side_n have_v stay_v at_o 51_o gr_n 30_o m._n the_o latitude_n must_v have_v be_v 51_o gr_n 30_o m._n and_o so_o in_o the_o rest_n 5_o to_o find_v any_o north_n latitude_n by_o the_o meridian_n altitude_n of_o the_o star_n to_o the_o southward_n let_v the_o upper_a sight_n be_v set_v to_o the_o star_n which_o you_o intend_v to_o observe_v here_o place_v in_o the_o before_o side_n of_o the_o bow_n then_o hold_v the_o north_n end_n of_o the_o bow_n upward_o and_o turn_v your_o face_n to_o the_o south_n observe_v the_o meridian_n altitude_n as_o before_o so_o the_o low_a sight_n shall_v show_v the_o latitude_n of_o the_o place_n in_o the_o before_o side_n of_o the_o bow_n thus_o if_o in_o observe_v the_o meridian_n altitude_n of_o the_o great_a dogstar_n the_o low_a sight_n shall_v stay_v at_o 50_o gr_n it_o will_v show_v the_o latitude_n to_o be_v 50_o gr_n for_o this_o star_n be_v here_o place_v at_o 73_o gr_n 48_o m._n if_o we_o take_v thence_o 50_o gr_n his_o meridian_n altitude_n will_v be_v 23_o gr_n 48_o m._n to_o this_o if_o we_o add_v 16_o gr_n 12_o m._n for_o the_o south_n declination_n of_o this_o star_n it_o will_v show_v the_o meridian_n altitude_n of_o the_o equator_fw-la to_o be_v 40_o gr_n and_o therefore_o the_o latitude_n to_o be_v 50_o gr_n 6_o to_o find_v any_o north_n latitude_n by_o the_o meridian_n altitude_n of_o the_o star_n to_o the_o northward_o let_v the_o upper_a sight_n be_v set_v to_o the_o star_n which_o you_o intend_v to_o observe_v here_o place_v on_o the_o back_n side_n of_o the_o bow_n then_o hold_v the_o north_n end_n of_o the_o bow_n upward_o and_o turn_v your_o face_n to_o the_o north_n observe_v the_o altitude_n of_o the_o star_n when_o he_o come_v to_o be_v in_o the_o meridian_n and_o under_o the_o pole_n so_o the_o low_a sight_n shall_v show_v the_o altitude_n of_o the_o pole_n in_o the_o back_n side_n of_o the_o bow_n thus_o the_o former_a guard_n come_v to_o be_v in_o the_o meridian_n under_o the_o pole_n if_o you_o observe_v and_o find_v the_o low_a sight_n to_o stay_v at_o 50_o gr_n such_o be_v the_o elevation_n of_o the_o pole_n and_o the_o latitude_n of_o the_o place_n to_o the_o northward_o for_o the_o distance_n between_o the_o two_o sight_n will_v show_v the_o altitude_n to_o be_v 35_o gr_n 45_o m._n &_o the_o star_n be_v 14_o gr_n 15_o m._n distant_a from_o the_o north_n pole_n these_o two_o do_v make_v up_o 50_o gr_n for_o the_o elevation_n of_o the_o north-pole_n and_o therefore_o such_o be_v the_o north_n latitude_n 7_o to_o find_v any_o south_n latitude_n by_o know_v either_o the_o day_n of_o the_o month_n or_o the_o declination_n of_o the_o sun_n when_o you_o be_v come_v into_o south_n latitude_n turn_v both_o your_o sight_n to_o the_o backside_n of_o the_o bow_n the_o upper_a sight_n to_o the_o declination_n of_o the_o sun_n or_o the_o day_n of_o the_o month_n at_o the_o south_n end_n and_o the_o low_a sight_n towards_o the_o north_n end_n of_o the_o bow_n then_o the_o sun_n come_v to_o the_o meridian_n turn_v your_o face_n to_o the_o north_n and_o hold_v the_o south_n end_n of_o the_o bow_n upward_o observe_v the_o meridian_n altitude_n as_o before_o so_o the_o low_a sight_n shall_v show_v the_o latitude_n of_o the_o place_n in_o the_o back_n side_n of_o the_o bow_n thus_o be_v in_o south_n latitude_n upon_o the_o ten_o of_o may_n if_o you_o observe_v and_o find_v the_o low_a sight_n to_o stay_v at_o 30_o gr_n on_o the_o back_n side_n of_o the_o bow_n such_o be_v the_o latitude_n for_o the_o declination_n be_v 20_o gr_n northward_o the_o altitude_n of_o the_o sun_n between_o the_o two_o sight_n 40_o gr_n the_o altitude_n of_o the_o equator_fw-la 60_o gr_fw-la and_o therefore_o the_o latitude_n 30_o gr_n 8_o to_o find_v any_o south_n latitude_n by_o the_o meridian_n altitude_n of_o the_o star_n to_o the_o northward_o let_v the_o upper_a sight_n be_v set_v to_o the_o star_n which_o you_o intend_v to_o observe_v here_o place_v on_o the_o back_n side_n of_o the_o bow_n then_o hold_v the_o south_n end_n of_o the_o bow_n upward_o and_o turn_v your_o face_n to_o the_o north_n observe_v the_o meridian_n altitude_n as_o before_o so_o the_o low_a sight_n shall_v show_v the_o latitude_n of_o the_o place_n in_o the_o back_n side_n of_o the_o bow_n thus_o be_v in_o south_n latitude_n and_o the_o former_a guard_n come_v to_o be_v in_o the_o meridian_n over_o the_o pole_n if_o you_o observe_v and_o find_v the_o low_a sight_n to_o stay_v at_o 5_o gr_n such_o be_v the_o latitude_n for_o this_o star_n be_v 14_o gr_n 15_o m._n from_o the_o north_n pole_n the_o altitude_n of_o the_o star_n between_o the_o two_o sight_n 9_o gr_n 15_o m._n the_o north_n pole_n depress_v 5_o gr_n and_o therefore_o the_o latitude_n 5_o gr_n to_o the_o southward_n 9_o to_o observe_v the_o altitude_n of_o the_o sun_n backward_o set_a the_o upper_a sight_n either_o to_o 60_o or_o 70_o or_o 80_o gr_n as_o you_o shall_v find_v it_o to_o be_v most_o convenient_a the_o low_a sight_n on_o any_o place_n between_o the_o middle_n and_o the_o other_o end_n of_o the_o bow_n and_o have_v a_o horizontall_a sight_n to_o be_v set_v to_o the_o centre_n then_o may_v you_o turn_v your_o back_n to_o the_o sun_n and_o the_o back_n of_o the_o bow_n towards_o yourself_o look_v by_o the_o low_a sight_n through_o the_o horizontall_a sight_n and_o move_v the_o low_a sight_n up_o &_o down_o until_o the_o upper_a sight_n do_v cast_v a_o shadow_n upon_o the_o middle_n of_o the_o horizontall_a sight_n so_o the_o degree_n contain_v between_o the_o two_o sight_n on_o the_o bow_n shall_v give_v the_o altitude_n require_v thus_o if_o the_o upper_a sight_n shall_v be_v at_o 80_o gr_n and_o the_o low_a sight_n at_o 50_o gr_n the_o altitude_n require_v be_v 30_o gr_n as_o in_o the_o three_o prop._n 10_o to_o find_v any_o north_n latitude_n by_o a_o back_n observation_n know_v either_o the_o day_n of_o the_o month_n or_o the_o declination_n of_o the_o sun_n when_o you_o observe_v in_o north_n latitude_n place_v your_o three_o sight_n on_o the_o fore_a side_n of_o the_o bow_n the_o upper_a sight_n to_o the_o declination_n of_o the_o sun_n or_o the_o day_n of_o the_o month_n at_o the_o north_n end_n the_o low_a sight_n towards_o the_o south_n end_n of_o the_o bow_n and_o the_o horizontall_a sight_n to_o the_o centre_n then_o the_o sun_n come_v to_o the_o meridian_n turn_v your_o face_n to_o the_o north_n &_o hold_v the_o north_n end_n of_o the_o bow_n upward_o the_o south_n end_v downward_o with_o the_o back_n of_o it_o towards_o yourself_o observe_v the_o shadow_n of_o the_o upper_a sight_n as_o in_o the_o former_a prop._n so_o the_o low_a sight_n shall_v show_v the_o latitude_n of_o the_o place_n in_o the_o before_o side_n of_o the_o bow_n thus_o be_v in_o north_n latitude_n upon_o the_o nine_o of_o october_n if_o you_o observe_v and_o find_v the_o low_a sight_n to_o stay_v at_o 50_o gr_n on_o the_o fore_a side_n of_o the_o bow_n such_o be_v the_o latitude_n for_o the_o declination_n be_v 10_o ●r_n southward_o and_o the_o altitude_n of_o the_o sun_n between_o the_o two_o sight_n 30_o gr_n the_o altitude_n of_o the_o equator_fw-la 40_o gr_fw-la and_o ●herefore_o the_o latitude_n 50_o gr_n as_o in_o the_o four_o prop._n 11_o to_o find_v any_o south_n latitude_n by_o a_o back_n observation_n know_v either_o the_o day_n of_o the_o month_n or_o the_o declination_n of_o the_o sun_n when_o you_o observe_v in_o south_n latitude_n place_v your_o three_o sight_n on_o the_o back_n side_n of_o the_o bow_n the_o upper_a sight_n to_o the_o declination_n of_o the_o sun_n or_o the_o day_n of_o the_o month_n at_o the_o south_n end_n the_o low_a sight_n toward_o the_o north_n end_n of_o the_o bow_n and_o the_o horizontall_a sight_n to_o the_o c●nter_n then_o the_o sun_n come_v to_o the_o meridian_n turn_v your_o face_n to_o the_o south_n and_o hold_v the_o south_n end_n of_o the_o bow_n upward_o with_o the_o back_n of_o it_o towards_o yourself_o observe_v the_o shadow_n of_o the_o upper_a sight_n as_o before_o so_o the_o low_a sight_n shall_v show_v the_o latitude_n of_o the_o place_n in_o the_o back_n side_n of_o the_o bow_n thus_o be_v in_o the_o south_n latitude_n upon_o the_o ten_o
of_o may_n if_o you_o observe_v and_o find_v the_o low_a sight_n to_o stay_v at_o 30_o gr_n on_o the_o ●ledge●acke_n of_o the_o bow_n such_o be_v the_o altitude_n for_o the_o declination_n ●ledge●_n 20_o gr_n northward_o the_o altitude_n of_o the_o sun_n between_o the_o ●ledge●wo_a sight_n 40_o gr_n the_o altitude_n of_o the_o equator_fw-la 60_o gr_fw-la and_o there●ledge●re_o the_o latitude_n 30_o gr_n as_o in_o the_o seven_o prop._n 12_o to_o find_v the_o day_n of_o the_o month_n by_o know_v the_o latitude_n of_o the_o place_n and_o observe_v the_o meridian_n altitude_n of_o the_o sun_n place_v your_o three_o sight_n according_a to_o your_o latitude_n the_o ho●ledge●zontall_a sight_n to_o the_o centre_n the_o low_a sight_n to_o the_o latitude_n ●ledge●d_v the_o upper_a sight_n among_o the_o month_n then_o when_o the_o ●ledge●nne_n come_v to_o the_o meridian_n observe_v the_o altitude_n look_v ●ledge●_n the_o low_a sight_n through_o the_o horizontall_a and_o keep_v the_o ●ledge●wer_a sight_n still_o at_o the_o latitude_n but_o move_v the_o upper_a sight_n ●ledge●til_o it_o give_v shadow_n upon_o the_o middle_n of_o the_o horizontal_a sight_n ●ledge●_n the_o upper_a sight_n shall_v show_v the_o day_n of_o the_o month_n requi●ledge●d_v thus_o in_o our_o latitude_n if_o you_o set_v the_o low_a sight_n to_o 51_o gr_n 30_o ●ledge●_n and_o observe_v find_v the_o altitude_n of_o the_o sun_n between_o ●ledge●at_n and_o the_o upper_a sight_n to_o be_v 28_o gr_n 30_o m._n this_o upper_a sight_n ●ledge●ll_v ●all_n upon_o the_o nine_o of_o october_n and_o the_o twelve_o of_o fe●ledge●uar●e_n and_o if_o yet_o you_o doubt_v which_o o●_n they_o two_o be_v the_o day_n ●ledge●u_o may_v expect_v another_o meridian_n altitude_n and_o than_o if_o you_o ●ledge●d_v the_o upper_a sight_n upon_o the_o ten_o of_o october_n and_o the_o ele●ledge●nth_n of_o february_n the_o question_n will_v be_v soon_o resolve_v 13_o to_o find_v the_o declination_n of_o any_o unknown_a star_n and_o so_o to_o place_v it_o on_o the_o bow_n by_o know_v the_o latitude_n of_o the_o place_n and_o observe_v the_o meridian_n altitude_n of_o the_o star_n when_o you_o find_v a_o star_n in_o the_o meridian_n that_o be_v fit_a for_o ob●ledge●uation_n set_a the_o centre_n of_o the_o bow_n to_o your_o eye_n the_o low_a ●ledge●ht_n to_o the_o latitude_n and_o move_v the_o upper_a sight_n up_o or_o down_o ●ledge●till_o you_o see_v the_o horizon_n by_o the_o low_a sight_n and_o the_o star_n by_o the_o upper_a sight_n then_o will_v the_o upper_a sight_n stay_v at_o the_o declination_n and_o place_n of_o the_o star_n thus_o be_v in_o 20_o gr_n of_o north_n latitude_n if_o you_o observe_v an●redge●_n find_v the_o meridian_n altitude_n of_o the_o head_n of_o the_o crosier_n to_o b●redge●_n 14_o gr_n 50_o m._n the_o upper_a sight_n will_v stay_v at_o 34_o gr_n 50_o m._n and_o ther●redge●_n may_v you_o place_v this_o star_n for_o by_o this_o observation_n the_o distance_n o●redge●_n this_o star_n from_o the_o south_n pole_n shall_v be_v 34_o gr_n 50_o m._n and_o th●redge●_n declination_n from_o the_o equator_fw-la 55_o gr_fw-la 10_o m._n and_o so_o for_o the_o res●redge●_n the_o star_n which_o i_o m●ntione●_n be●●re_o do_v come_v to_o the_o meridian_n in_o this_o order_n after_o the_o first_o point_n of_o aries_n  _fw-fr ho._n mi._n the_o pole_n star_n at_o 0_o 29_o the_o ram_n head_n 1_o 46_o the_o head_n of_o medusa_n 2_o 44_o the_o sid●_n of_o perseus_n 2_o 58_o the_o bull_n eye_n 4_o 15_o the_o goat_n 4_o 49_o orion_n left_a shoulder_n 5_o 5_o orion_n girdle_n the_o first_o the_o second_o the_o three_o 5_o 13_o 5_o 17_o 5_o 22_o orion_n right_a shoulder_n 5_o 35_o the_o great_a dog_n 6_o 29_o castor_n 7_o 10_o the_o little_a dog_n 7_o 20_o pollux_n 7_o 22_o the_o hydra_n hart_n 9_o 9_o the_o lion_n hart_n 9_o 48_o the_o great_a bear_n back_o 10_o 40_o first_o in_o gr_n bear_v tail_n 12_o 37_o the_o virgin_n spike_n 13_o 5_o second_o in_o gr_n bea●_n tail_n 13_o 9_o third_z in_o gr_n bear_v tail_n 13_o 33_o arcturus_n 13_o 58_o the_o foremost_a gum_n rd_o 14_o 52_o the_o north_n crown_v 15_o 19_o th●_n h●_n dmost_a guard_n 15_o 25_o scorpion_n hart_n 16_o 7_o the_o harp_n 18_o 24_o praetor_n hart_n 19_o 33_o swan_n tail_n 20_o 29_o fomahant_n 22_o 36_o the_o end_n of_o the_o second_o book_n the_o three_o book_n of_o the_o use_n of_o the_o line_n of_o number_n sin_n and_o tangent_n for_o the_o draw_v of_o houre-line_n on_o all_o sort_n of_o planes_n there_o be_v ten_o several_a sort_n of_o planes_n which_o take_v their_o denomination_n from_o those_o great_a circle_n to_o which_o they_o be_v parallel_n and_o may_v sufficient_o for_o our_o use_n be_v represent_v in_o this_o one_o fundamental_a diagram_n describe_v before_o in_o the_o use_n of_o the_o sector_n and_o be_v know_v by_o their_o horizontall_a and_o perpendicular_a line_n of_o such_o as_o know_v the_o latitude_n of_o the_o place_n and_o the_o circle_n of_o the_o sphere_n 1_o a_o horizontall_a plane_n parallel_v to_o the_o horizon_n here_o represent_v by_o the_o outward_a circle_n esw_v 2_o a_o vertical_a plane_n parallel_v to_o the_o prime_n vertical_a circle_n which_o pass_v through_o the_o zenith_n and_o the_o point_n of_o east_n and_o west_n in_o the_o horizon_n and_o be_v right_n to_o the_o horizon_n and_o the_o meridian_n that_o be_v make_v right_a angle_n with_o they_o both_o this_o be_v represent_v by_o ezw_n 3_o a_o polar_n plane_n parallel_v to_o the_o circle_n of_o the_o hour_n of_o 6_o which_o pass_v through_o the_o pole_n and_o the_o point_n of_o east_n and_o west_n be_v right_a to_o the_o equinoctial_a and_o the_o meridian_n but_o incline_v to_o the_o horizon_n with_o a_o angle_n equal_a to_o the_o latitude_n this_o be_v here_o represent_v by_o epw_n 4_o a_o equinoctial_a plane_n parallel_v to_o the_o equinoctial_a which_o pass_v through_o the_o point_n of_o east_n and_o west_n be_v right_a to_o the_o meridian_n but_o incline_v to_o the_o horizon_n with_o a_o angle_n equal_a to_o the_o compliment_n of_o the_o latitude_n this_o be_v here_o represent_v by_o eaw_n 6_o a_o meridian_n plane_n parallel_v to_o the_o meridian_n the_o circle_n of_o the_o hour_n of_o 12_o which_o pass_v through_o the_o zenith_n the_o pole_n and_o the_o point_n of_o south_n and_o north_n be_v right_a to_o the_o horizon_n and_o the_o prime_n vertical_a this_o be_v here_o represent_v by_o szn_n 7_o a_o meridian_n plane_n incline_v to_o the_o horizon_n parallel_n to_o any_o great_a circle_n which_o pass_v through_o the_o point_n of_o south_n and_o north_n be_v right_a to_o the_o prime_n vertical_a but_o incline_v to_o the_o horizon_n this_o be_v here_o represent_v by_o sgn_n 8_o a_o vertical_a decline_a plane_n parallel_n to_o any_o great_a circle_n which_o pass_v through_o the_o zenith_n be_v right_a to_o the_o horizon_n but_o incline_v to_o the_o meridian_n this_o be_v represent_v by_o bzd._n 9_o a_o polar_n decline_a plane_n parallel_n to_o any_o great_a circle_n which_o pass_v through_o the_o pole_n be_v right_a to_o the_o equinoctial_a but_o incline_v to_o the_o meridian_n this_o be_v here_o represent_v by_o hpq_n 10_o a_o decline_a incline_a plane_n parallel_n to_o any_o great_a circle_n which_o be_v right_a to_o none_o of_o the_o former_a circle_n but_o decline_v from_o the_o prime_n vertical_a and_o incline_v both_o to_o the_o horizon_n and_o the_o meridian_n and_o all_o the_o hour_n circle_n this_o may_v be_v here_o represent_v either_o by_o bmd_a or_o bfd_n or_o bkd_v or_o any_o such_o great_a circle_n which_o pass_v neither_o through_o the_o south_n and_o north_n nor_o east_n and_o west_n point_n nor_o through_o the_o zenith_n nor_o the_o pole_n each_o of_o these_o plane_n except_o the_o horizontall_a have_v two_o face_n whereon_o houre-line_n may_v be_v draw_v and_o so_o there_o be_v 19_o plane_n in_o all_o the_o meridian_n plane_n have_v one_o face_n to_o the_o east_n and_o another_o to_o the_o west_n the_o other_o vertical_a plane_n have_v one_o to_o the_o south_n and_o another_o to_o the_o north_n and_o the_o rest_n one_o to_o the_o zenith_n and_o another_o to_o the_o nadir_n but_o what_o be_v say_v of_o the_o one_o may_v be_v understand_v of_o the_o other_o to_o find_v the_o inclination_n of_o any_o plane_n for_o the_o distinguish_n of_o these_o plane_n we_o may_v find_v whether_o they_o be_v horizontall_a or_o vertical_a or_o incline_v to_o the_o horizon_n and_o how_o much_o they_o incline_v either_o by_o the_o usual_a inclinatorie_n quadrant_a or_o by_o fit_v a_o thread_n and_o plummet_n unto_o the_o sector_n for_o let_v the_o sector_n be_v open_v to_o a_o right_a angle_n the_o line_n of_o sin_n to_o a_o angle_n of_o 92_o gr_n the_o inward_a edge_n of_o the_o sector_n to_o 90_o