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♋_o at_o meridies_n and_o the_o rest_n in_o like_a order_n then_o draw_v another_o scale_n without_o this_o upon_o the_o ring_n consist_v of_o two_o space_n in_o the_o inner_a space_n shall_v be_v the_o day_n of_o the_o year_n in_o the_o outer_a space_n which_o must_v be_v a_o little_o large_a shall_v be_v the_o name_n of_o the_o month_n in_o their_o order_n and_o to_o divide_v this_o scale_n right_o you_o shall_v do_v thus_o go_v to_o some_o eshemeris_fw-la for_o the_o leap_v year_n that_o next_o come_v viz._n 1660_o or_o rather_o for_o some_o leap_v year_n about_o 20_o year_n hence_o that_o your_o scale_n may_v serve_v without_o any_o prosthapheresis_fw-la for_o 40_o year_n to_o come_v without_o sensible_a error_n and_o begin_v your_o year_n with_o march_n look_v where_o the_o sun_n be_v on_o the_o 29_o of_o february_n at_o noon_n which_o you_o shall_v find_v to_o be_v ♓_o 20_o degr_n 47_o min_fw-mi for_o the_o year_n 1660._o therefore_o lay_v the_o label_n or_o a_o ruler_n from_o 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the_o arch_n of_o the_o ecliptic_a from_o the_o ascendant_n to_o the_o midheaven_n and_o his_o match_n take_v so_o many_o degree_n on_o the_o other_o side_n the_o centre_n give_v the_o other_o arch_n of_o the_o ecliptic_a from_o the_o midheaven_n to_o the_o descendant_n the_o rest_n of_o the_o meridian_n and_o the_o parallel_n be_v in_o this_o mode_n of_o no_o use_n the_o almicanter_n and_o azimuth_n of_o the_o reet_n here_o show_v you_o the_o altitude_n and_o azimuth_n of_o every_o degree_n of_o the_o ecliptic_a at_o one_o view_n chap._n two_o of_o the_o equinoctial_a projection_n show_v the_o northern_a or_o southern_a hemisphear_n the_o equinoctial_a projection_n represent_v the_o northern_a or_o southern_a hemisphere_n project_v upon_o the_o plain_a of_o the_o equator_fw-la here_o the_o limb_n or_o outmost_a circle_n of_o the_o mater_n and_o reet_n be_v equator_fw-la the_o eye-point_n be_v the_o north_n or_o south_n pole_n which_o you_o will_v by_o turn_n which_o pole_n be_v here_o 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represent_v by_o turn_n carry_v this_o in_o your_o head_n and_o then_o lie_v the_o eabel_n upon_o the_o south_n part_n of_o the_o meridian_n and_o number_n thereon_o from_o the_o centre_n now_o north_n pole_n outward_a to_o the_o equator_fw-la at_o the_o limb_n 90._o degree_n thence_o number_n backward_o towards_o the_o centre_n now_o the_o south_n pole_n the_o elevation_n of_o the_o equator_fw-la which_o be_v always_o compliment_n of_o the_o elevation_n of_o the_o pole_n and_o be_v here_o 37._o degree_n 45_o minute_n there_o be_v the_o southern_a point_n of_o the_o horizon_n and_o be_v distant_a from_o the_o centre_n now_o south_n pole_n only_a 52_o degree_n 15_o minute_n but_o from_o the_o centre_n be_v north_n pole_n 127._o degree_n 45._o minute_n and_o from_o the_o northern_a point_n of_o the_o horizon_n before_o find_v just_a 180._o degree_n as_o it_o be_v in_o the_o sphere_n have_v find_v the_o north_n arch_n of_o your_o horizon_n 52._o degr_n 15._o min._n behind_o the_o centre_n count_v as_o many_o degree_n and_o minute_n forward_o in_o the_o meridian_n before_o the_o centre_n towards_o meridies_n and_o the_o arch_n cross_v there_o shall_v be_v his_o match_n to_o make_v up_o the_o whole_a circle_n and_o so_o may_v you_o find_v your_o whole_a horizon_n upon_o the_o mater_n whatsoever_o your_o latitude_n be_v here_o you_o must_v remember_v that_o star_n which_o have_v northern_a declination_n rise_v and_o set_v upon_o the_o northern_a arch_n of_o the_o horizon_n and_o those_o which_o have_v southern_a declination_n upon_o the_o southern_a arch_n remember_v also_o that_o many_o star_n between_o the_o tropic_n which_o have_v northern_a latitude_n have_v nevertheless_o southern_a declination_n and_o contrary_a many_o which_o have_v southern_a latitude_n have_v northern_a declination_n the_o lineament_n of_o the_o reet_n serve_v you_o in_o this_o projection_n be_v only_o the_o ecliptic_a and_o the_o fix_a star_n the_o almicanter_n and_o azimuth_n here_o be_v of_o no_o use_n the_o meridian_n and_o parallel_n be_v supply_v by_o the_o label_n for_o the_o reet_n as_o well_o as_o for_o the_o mater_n and_o whereas_o the_o ecliptic_a here_o seem_v to_o be_v irregular_a see_v the_o solstitial_a point_n of_o cancer_n and_o caprcorn_n be_v not_o distant_a 180_o degree_n as_o they_o shall_v be_v you_o must_v imagine_v that_o the_o southern_a arch_n of_o the_o ecliptic_a be_v project_v by_o the_o eye_n place_v in_o the_o north_n pole_n and_o for_o the_o northern_a arch_n the_o eye_n place_n in_o the_o south_n pole_n and_o the_o centre_n serve_v for_o both_o the_o pole_n alike_o as_o have_v be_v show_v number_n therefore_o as_o you_o be_v teach_v for_o the_o horizon_n in_o this_o projection_n for_o the_o reason_n of_o the_o draught_n of_o the_o horizon_n and_o of_o the_o ecliptic_a in_o this_o projection_n be_v the_o same_o chap._n iii_o of_o the_o nonagesimal_n projection_n show_v the_o eastern_a and_o western_a part_n of_o the_o sphere_n be_v divide_v by_o the_o azimuth_n of_o the_o nonagesimus_fw-la gradus_fw-la number_n in_o the_o limb_n from_o the_o equinoctial_a line_n towards_o the_o pole_n the_o altitude_n of_o the_o nonagesimus_fw-la gradus_fw-la which_o be_v the_o high_a degree_n of_o the_o ecliptic_a and_o thereto_o set_v the_o finitor_n turn_v the_o almicanter_n either_o to_o the_o north_n or_o to_o the_o south_n as_o your_o work_n propose_v shall_v require_v now_o be_v the_o finiter_n ecliptic_a his_o point_n at_o the_o limbis_a nonagesimus_fw-la gradus_fw-la the_o centre_n of_o the_o planisphear_n be_v ascendant_n and_o descendant_n the_o east_n and_o west_n point_v of_o the_o horizon_n be_v here_o distant_a from_o the_o centre_n as_o much_o as_o the_o amplitude_n of_o the_o ascendant_n come_v to_o to_o be_v count_v from_o the_o centre_n upon_o the_o eqinoctial_a line_n of_o the_o mater_n which_o here_o stand_v for_o horizon_n the_o meridian_n and_o parallel_n of_o the_o mater_n be_v here_o
he_o in_o his_o proper_a line_n go_v to_o the_o mater_n of_o your_o planisphear_n and_o take_v he_o there_o in_o the_o first_o projection_n there_o number_n 60_o the_o sun_n longitude_n in_o the_o ecliptic_a line_n of_o the_o mater_n from_o the_o centre_n outward_a where_o 60_o end_v there_o be_v c_o of_o your_o triangle_n and_o the_o meridian_n that_o meet_v you_o there_o be_v c_o a_o the_o arch_n of_o declination_n follow_v he_o to_o the_o equator_fw-la and_o you_o shall_v find_v by_o his_o graduation_n he_o be_v 20_o degr_n 12_o min._n long._n thence_o turn_v in_o the_o equator_fw-la to_o the_o centre_n and_o you_o make_v b_o a_o the_o right_a ascension_n 57_o degr_n 48_o min._n so_o have_v you_o the_o true_a picture_n of_o your_o triangle_n in_o his_o proper_a place_n observe_v your_o triangle_n now_o and_o you_o may_v see_v a_o be_v a_o right_a angle_n for_o at_o such_o angle_n all_o the_o meridian_n cut_n the_o equator_fw-la b_o be_v 23_o ½_n for_o such_o a_o angle_n the_o ecliptic_a daily_o make_v with_o the_o equator_fw-la as_o the_o arch_n in_o the_o limb_n comprehend_v between_o they_o show_v now_o take_v for_o give_v any_o of_o the_o three_o side_n and_o you_o have_v the_o rest_n take_v the_o longitude_n for_o give_v and_o be_v it_o 60_o degr_n as_o before_o or_o 70_o degr_n or_o what_o you_o will_v and_o you_o may_v find_v the_o declination_n and_o right_a ascension_n as_o before_o let_v the_o right_a ascension_n be_v give_v then_o set_v a_o needle_n point_n in_o the_o end_n thereof_o a_o you_o may_v thence_o in_o a_o meridian_n trace_v out_o the_o declination_n c_o a_o to_o the_o ecliptic_a and_o the_o longitude_n b_o c_o thence_o to_o the_o centre_n every_o side_n be_v divide_v into_o his_o whole_a part_n or_o degree_n if_o the_o declination_n be_v give_v say_v because_o the_o 20_o parallel_n almost_o must_v cut_v off_z c_o a_o the_o arch_n of_o declination_n in_o c_o therefore_o i_o follow_v the_o parallel_n 20_o ⅕_n to_o the_o place_n where_o he_o cut_v the_o ecliptic_a and_o there_o come_v the_o meridian_n that_o serve_v my_o turn_n and_o i_o may_v go_v down_o by_o he_o to_o the_o equator_fw-la as_o you_o will_v go_v down_o a_o ladder_n count_v the_o round_n or_o degree_n as_o you_o go_v and_o so_o on_o round_o my_o triangle_n and_o i_o need_v no_o more_o for_o observe_v it_o when_o you_o will_v in_o the_o use_n of_o this_o planisphear_n if_o you_o can_v find_v the_o way_n to_o go_v round_o your_o triangle_n you_o have_v all_o the_o side_n measure_v to_o your_o hand_n and_o evermore_o one_o angle_n also_o most_o common_o two_o and_o the_o angle_n c_o only_a leave_v unknown_a but_o admit_v the_o sun_n be_v in_o ♌_o 0_o then_o be_v his_o longitude_n 120_o degree_n and_o he_o be_v come_v back_o from_o the_o solstice_n in_o your_o planisphear_n as_o many_o degr_n as_o he_o want_v of_o it_o before_o here_o the_o triangle_n be_v equal_a to_o the_o former_a and_o resolve_v in_o like_a manner_n the_o declination_n be_v the_o same_o as_o before_o but_o the_o arch_n of_o longitude_n and_o right_a ascension_n in_o the_o triangle_n be_v supplement_n of_o the_o true_a longitude_n and_o right_a ascension_n show_v what_o the_o sun_n want_v of_o the_o longitude_n and_o right_a ascension_n 180_o in_o ♎_o 0._o wherefore_o subtract_v the_o base_a of_o the_o triangle_n 57_o degr_n 48_o min._n from_o a_o semicircle_n or_o 180_o degr_n and_o you_o shall_v leave_v 122_o degr_n 12_o min._n the_o right_a ascension_n of_o ♌_o 0._o or_o number_n in_o the_o equator_fw-la from_o the_o centre_n the_o way_n in_o which_o the_o right_a ascension_n have_v increase_v that_o be_v first_o to_o the_o limb_n which_o here_o be_v colurus_n solstitiorum_fw-la 90_o degr_n then_o back_o again_o to_o a_o the_o right_a angle_n of_o your_o triangle_n and_o you_o have_v 32_o degr_n 12_o min._n to_o be_v add_v thereto_o the_o sum_n be_v 122_o degr_n 12_o min._n the_o right_a ascension_n as_o before_o if_o you_o observe_v this_o example_n you_o will_v easy_o perceive_v that_o when_o the_o sun_n be_v pass_v ♎_o 0._o the_o triangle_n will_v be_v on_o the_o other_o side_n the_o centre_n and_o between_o ♎_o and_o ♑_o you_o must_v add_v to_o the_o right_a ascension_n and_o longitude_n find_v within_o the_o triangle_n 180_o degr_n and_o in_o the_o last_o quadrant_n between_o ♑_o and_o ♈_o where_o the_o right_a ascension_n again_o increase_v inward_o you_o must_v add_v 270_o degr_n to_o the_o compliment_n of_o right_a ascension_n find_v in_o the_o triangle_n and_o take_v the_o sum_n or_o else_o subduct_v the_o right_a ascension_n find_v in_o the_o triangle_n from_o 360_o degr_n and_o take_v the_o residue_n for_o the_o right_a ascension_n chap._n vii_o to_o do_v the_o same_o in_o the_o second_o projection_n more_o easy_o in_o the_o second_o projection_n where_o the_o centre_n be_v the_o pole_n of_o the_o world_n and_o the_o limb_n equator_fw-la you_o shall_v find_v the_o ecliptic_a fair_o draw_v upon_o the_o reet_n and_o distinguish_v into_o his_o quarter_n and_o degree_n remember_v now_o from_o the_o former_a chap._n that_o the_o ecliptic_a equator_fw-la and_o a_o meridian_n must_v make_v your_o triangle_n and_o know_v that_o the_o label_n supply_v the_o place_n of_o the_o meridian_n if_o the_o longitude_n or_o right_a ascension_n be_v give_v lay_v the_o label_n on_o the_o degree_n give_v in_o the_o ecliptic_a for_o longitude_n or_o in_o the_o limb_n of_o the_o reet_n for_o right_a ascension_n and_o your_o triangle_n be_v make_v and_o you_o may_v present_o see_v your_o desire_n if_o the_o declination_n be_v give_v consider_v in_o what_o quarter_n of_o the_o ecliptic_a the_o sun_n be_v than_o number_n the_o declination_n give_v upon_o the_o label_n inward_o and_o where_o the_o number_n end_v make_v a_o prick_n on_o your_o label_n then_o move_v the_o label_n into_o the_o quarter_n where_o the_o sun_n be_v and_o lay_v the_o prick_n on_o the_o ecliptic_a there_o and_o your_o triangle_n be_v make_v wherein_o you_o may_v see_v the_o longitude_n and_o right_a ascension_n desire_v this_o need_v no_o example_n chap._n viii_o to_o find_v the_o angle_n at_o the_o sun_n make_v between_o the_o ecliptic_a and_o meridian_n this_o be_v the_o angle_n c_o of_o the_o former_a triangle_n and_o be_v the_o only_a part_n which_o can_v be_v find_v in_o the_o former_a posture_n of_o the_o triangle_n neither_o in_o chap._n 6_o nor_o 7_o but_o be_v easy_o have_v by_o conversion_n of_o the_o triangle_n as_o you_o may_v remember_v out_o of_o the_o three_o book_n take_v the_o triangle_n of_o chap._n 6_o and_o make_v the_o cathetus_n base_a for_o this_o turn_n and_o by_o the_o 1_o or_o 2_o problem_n of_o rectangled_a triangle_n you_o may_v find_v this_o angle_n to_o be_v 77_o degr_n 43_o min._n chap._n ix_o to_o find_v the_o say_a angle_n of_o the_o ecliptic_a with_o the_o meridian_n by_o the_o longitude_n declination_n or_o right_a ascension_n divers_a other_o way_n in_o the_o meridional_a projection_n do_v thus_o if_o you_o have_v the_o longitude_n give_v count_v the_o distance_n of_o the_o sun_n in_o that_o longitude_n from_o the_o next_o equinoctial_a point_n and_o count_v so_o many_o degree_n in_o the_o arctic_a circle_n from_o the_o limb_n inward_o to_o the_o end_n of_o this_o number_n lay_v the_o label_n and_o between_o the_o label_n and_o equator_fw-la you_o have_v upon_o the_o limb_n the_o lesser_a angle_n make_v between_o the_o ecliptic_a and_o meridian_n the_o great_a angle_n be_v the_o supplement_n thereof_o also_o between_o the_o arctic_a circle_n and_o the_o limb_n you_o may_v find_v the_o declination_n on_o the_o label_n which_o be_v more_o than_o be_v require_v if_o you_o have_v the_o declination_n give_v count_v it_o on_o the_o label_n inward_o and_o make_v a_o prick_n where_o the_o number_n end_v then_o turn_v this_o prick_n upon_o the_o arctic_a circle_n and_o the_o label_n show_v the_o lesser_a angle_n in_o the_o limb_n as_o before_o example_n i_o will_v know_v what_o angle_n the_o meridian_n that_o cut_v the_o sun_n in_o ♉_o 9_o degr_n make_v with_o the_o ecliptic_a i_o number_v therefore_o in_o the_o arctic_a circle_n from_o the_o limb_n inward_o 39_o deg_fw-la and_o to_o the_o 39th_o degr_n i_o say_v the_o label_n and_o it_o show_v in_o the_o limb_n the_o angle_n seek_v 71_o degr_n 20_o min._n and_o in_o the_o label_n the_o declination_n of_o ♉_o 9_o degr_n viz._n 14._o 32_o minute_n this_o be_v a_o good_a way_n but_o that_o the_o label_n at_o this_o 39th_o degr_n cut_v the_o pole_n of_o the_o ecliptic_a as_o mr._n blagrave_n say_v book_n 3_o 40._o be_v not_o true_a either_o mr._n blagrave_n or_o the_o printer_n here_o mistake_v for_o the_o pole_n of_o the_o ecliptic_a lie_n 14._o 24_o minute_n near_a the_o axletree_n as_o you_o shall_v
find_v in_o the_o next_o rule_n 2._o another_o way_n mark_v what_o be_v the_o right_a ascension_n of_o the_o point_n propose_v be_v count_v from_o the_o next_o equinoctial_a point_n as_o of_o ♉_o 9_o degr_n the_o right_a ascension_n be_v 36.36_o min._n count_v so_o many_o degree_n in_o the_o arctic_a circle_n from_o the_o axletree_n at_o the_o end_n of_o this_o number_n be_v the_o pole_n of_o the_o ecliptic_a lay_v the_o label_n to_o he_o and_o you_o shall_v make_v a_o quadrantal_a triangle_n who_o side_n shall_v be_v equal_a to_o the_o angle_n of_o the_o former_a triangle_n which_o be_v make_v of_o the_o longitude_n declination_n and_o right_a ascension_n of_o the_o point_n propose_v for_o the_o right_a angle_n you_o have_v a_o radius_fw-la or_o quadrant_n of_o the_o axis_n for_o the_o angle_n of_o the_o great_a declination_n between_o the_o equator_fw-la and_o ecliptic_a 23_o ½_n you_o have_v the_o arch_n of_o a_o meridian_n between_o the_o pole_n of_o the_o equator_fw-la and_o the_o pole_n of_o the_o ecliptic_a for_o the_o angle_n seek_v you_o have_v the_o arch_n of_o the_o label_n between_o the_o pole_n of_o the_o ecliptic_a and_o the_o centre_n 71.20_o minute_n as_o before_o the_o least_o angle_n of_o this_o quadrantal_a triangle_n be_v at_o the_o centre_n and_o you_o shall_v find_v his_o measure_n in_o the_o limb_n 14.32_o minute_n that_o be_v the_o measure_n of_o the_o least_o side_n of_o the_o former_a triangle_n viz._n the_o declination_n of_o the_o point_n propose_v here_o you_o see_v if_o the_o declination_n have_v be_v give_v you_o shall_v have_v set_v it_o in_o the_o limb_n between_o the_o pole_n and_o the_o label_n and_o so_o have_v you_o make_v the_o same_o quadrantal_a triangle_n and_o may_v have_v find_v on_o the_o label_n between_o the_o arctic_a circle_n and_o the_o centre_n the_o measure_n of_o the_o angle_n seek_v and_o likewise_o in_o the_o arctic_a circle_n between_o the_o label_n and_o the_o axtree-line_n the_o right_a aseension_n though_o it_o be_v more_o than_o be_v require_v the_o reason_n hereof_o you_o may_v learn_v from_o book_n 3.7_o chap._n x._o to_o find_v the_o point_n of_o the_o ecliptic_a in_o which_o the_o longitude_n and_o right_a ascension_n have_v great_a difference_n move_v the_o label_n on_o the_o polar_a circle_n till_o you_o find_v the_o degree_n of_o the_o label_n between_o the_o polar_a circle_n and_o the_o limb_n to_o be_v equal_a to_o the_o degr_n of_o the_o limb_n between_o the_o label_n and_o the_o pole_n so_o have_v you_o a_o rectangle_v aeqaicrurall_a triangle_n make_v by_o the_o limb_n label_n and_o the_o meridian_n 46_o ¼_n like_v to_o that_o in_o the_o second_o variety_n book_n 3.10_o here_o the_o angle_n b_o at_o the_o pole_n between_o the_o 46_o ¼_n meridian_n and_o the_o limb_n be_v equal_a to_o the_o longitude_n of_o the_o point_n seek_v 46¼_n and_o either_o leg_n be_v equal_a to_o the_o declination_n thereof_o 16_o ¼_n therefore_o i_o conclude_v that_o when_o the_o sun_n be_v 46_o ¼_n in_o longitude_n that_o be_v in_o ♉_o 16_o ¼_n than_o his_o longitude_n have_v further_a out_o run_v the_o right_a ascension_n subtract_v now_o the_o right_a ascension_n of_o ♉_o 16_o ¼_n which_o be_v 43_o ¾_n out_o of_o the_o longitude_n 46_o ¼_n there_o remain_v 2_o deg_fw-la ½_n which_o be_v convert_v into_o time_n be_v 10_o min._n the_o great_a inequality_n of_o ascension_n in_o a_o right_a sphere_n chap._n ii_o to_o find_v the_o latitude_n of_o your_o place_n or_o the_o elevation_n of_o the_o pole_n above_o your_o horizon_n by_o the_o meridional_a altitude_n and_o declination_n of_o the_o sun_n meridional_a projection_n geographer_n call_v the_o distance_n of_o a_o place_n from_o the_o near_a point_n of_o the_o equator_fw-la upon_o earth_n the_o latitude_n of_o that_o place_n as_o the_o latitude_n of_o london_n be_v 51_o deg_fw-la 32_o min._n from_o the_o equator_fw-la northward_o the_o latitude_n of_o st_n thomas_n island_n upon_o the_o coast_n of_o africa_n be_v 0_o deg_fw-la 0_o min._n because_o the_o middle_n of_o that_o island_n lie_v under_o the_o equator_fw-la and_o because_o the_o latitude_n of_o your_o place_n and_o the_o elevation_n of_o the_o pole_n above_o your_o horizon_n be_v always_o equal_a therefore_o the_o elevation_n of_o the_o pole_n be_v oft_o call_v latitude_n of_o the_o place_n or_o latitude_n simple_o and_o so_o for_o brevity_n sake_n we_o shall_v often_o call_v it_o but_o when_o we_o speak_v of_o the_o latitude_n of_o the_o moon_n or_o star_n you_o must_v understand_v astronomer_n thereby_o mean_v their_o distance_n from_o the_o near_a point_n of_o the_o ecliptic_a to_o find_v the_o latitude_n of_o your_o place_n get_v the_o sun_n declination_n by_o the_o 6_o or_o seven_o and_o his_o meridian_n altitude_n by_o the_o second_o of_o this_o book_n then_o find_v the_o parallel_n of_o the_o sun_n declination_n north_n or_o south_n as_o the_o declination_n be_v and_o where_o it_o touch_v the_o limb_n here_o meridian_n there_o be_v the_o point_n where_o you_o observe_v the_o sun_n at_o noon_n set_v the_o south_n end_n of_o the_o finiter_n so_o many_o degr_n below_o this_o point_n as_o the_o meridian_n altitude_n have_v then_o be_v your_o finiter_n set_v to_o your_o latitude_n and_o you_o shall_v find_v the_o measure_n of_o it_o between_o the_o equator_fw-la and_o the_o zenith_n which_o be_v proper_o the_o latitude_n and_o the_o same_o measure_n shall_v you_o find_v between_o the_o north_n point_n of_o the_o finiter_n and_o the_o north_n pole_n where_o it_o be_v more_o proper_o call_v the_o elevation_n of_o the_o pole_n example_n june_n 20_o 1651._o i_o observe_v the_o meridian_n altitude_n of_o the_o sun_n here_o at_o ecton_n four_o mile_n eastward_o from_o northampton_n 60_o degr_n 59_o min._n the_o longitude_n of_o the_o sun_n be_v then_o ♋_o 8_o degr_n 19_o min._n ½_n his_o declination_n 23_o degr_v 14_o min._n northward_o therefore_o have_v find_v in_o the_o limb_n the_o point_n where_o the_o parallel_n 23_o degr_n 14_o min._n touch_v above_o the_o equator_fw-la i_o put_v the_o south_n end_n of_o the_o finiter_fw-la 60_o degr_n 59_o min._n below_o that_o point_n towards_o the_o south_n pole_n which_o do_v i_o see_v the_o north_n pole_n elevate_v above_o the_o finiter_fw-la 52_o degr_n 15_o min._n and_o the_o zenith_n of_o my_o horizon_n likewise_o to_o be_v remove_v from_o the_o equator_fw-la northward_o 52_o degr_n 15_o min._n which_o be_v the_o latitude_n of_o ecton_n note_v that_o you_o may_v best_o observe_v the_o latitude_n when_o the_o sun_n be_v near_o the_o summer_n tropic_n for_o than_o you_o shall_v not_o be_v trouble_v with_o refraction_n and_o then_o the_o declination_n vary_v slow_o which_o vary_v almost_o one_o minute_n every_o hour_n near_o the_o equinoctial_a chap._n xii_o to_o do_v the_o same_o by_o the_o meridian_n altitude_n of_o the_o star_n about_o the_o pole_n many_o of_o the_o star_n near_o the_o northern_a pole_n may_v be_v see_v with_o we_o twice_o in_o the_o meridian_n in_o one_o winter_n night_n that_o be_v one_o while_o above_o the_o pole_n and_o 12_o hour_n after_o again_o below_o the_o pole_n as_o for_o example_n the_o polestar_n call_v alrucabe_n about_o december_n 18_o will_n be_v in_o the_o meridian_n above_o the_o pole_n at_o 6_o of_o the_o clock_n at_o night_n and_o at_o 6_o next_o morning_n he_o will_v be_v in_o the_o meridian_n below_o the_o pole_n observe_v both_o the_o meridian_n altitude_n and_o add_v they_o together_o half_o that_o sum_n be_v the_o elevation_n of_o the_o pole_n example_n i_o observe_v at_o ecton_n the_o great_a altitude_n of_o the_o polestar_n to_o be_v 54_o deg_fw-la 45_o min._n and_o his_o least_o altitude_n 49_o degr_n 45_o min._n the_o sum_n be_v 104_o deg_fw-la 30_o min._n the_o half_a 52_o degr_n 15_o min._n the_o latitude_n of_o ecton_n and_o here_o i_o have_v get_v also_o the_o pole-star_n distance_n from_o the_o pole_n and_o consequent_o his_o declination_n which_o be_v the_o compliment_n thereof_o for_o the_o latitude_n be_v subduct_v from_o the_o great_a altitude_n leave_v the_o star_n distance_n from_o the_o pole_n 2_o degr_n 30_o min._n and_o consequent_o show_v his_o declination_n to_o be_v 87_o degr_n 30_o min._n which_o be_v 39_o min._n more_o than_o gemma_fw-la frisius_n observe_v it_o anno_fw-la dom._n 1547._o for_o in_o our_o age_n the_o polestar_n approach_v about_o 1_o min._n near_o the_o pole_n in_o every_o 3_o year_n note_v that_o these_o star_n which_o be_v distant_a from_o the_o pole_n less_o than_o the_o latitude_n and_o more_o than_o the_o compliment_n thereof_o have_v their_o less_o meridian_n altitude_n in_o the_o north_n part_n of_o the_o meridian_n and_o their_o great_a meridian_n altitude_n in_o the_o southern_a part_n of_o the_o meridian_n beyond_o the_o zenith_n wherefore_o for_o they_o you_o shall_v take_v the_o compliment_n of_o
reet_n till_o the_o sun_n place_n in_o the_o ecliptic_a or_o the_o point_n of_o the_o star_n touch_v your_o proper_a horizon_n and_o that_o on_o the_o north_n side_n if_o the_o declination_n be_v north_n or_o on_o the_o south_n side_n if_o it_o be_v south_n lay_v the_o label_n to_o the_o sun_n or_o star_n in_o the_o horizon_n and_o between_o the_o label_n and_o meridies_n upon_o the_o limb_n you_o shall_v have_v the_o semi-diurnal_a arch_n both_o in_o degree_n and_o in_o hour_n and_o minute_n and_o you_o shall_v observe_v that_o those_o star_n who_o declination_n be_v great_a than_o the_o compliment_n of_o your_o latitude_n as_o lyra_n be_v in_o the_o last_o chap._n will_v never_o touch_v the_o horizon_n at_o all_o for_o star_n of_o such_o declination_n if_o they_o be_v north_n never_o set_v and_o if_o they_o be_v south_n never_o rise_v at_o our_o town_n but_o what_o shall_v i_o do_v if_o the_o star_n be_v not_o in_o my_o reet_n then_o will_v i_o number_v his_o right_a ascension_n on_o the_o limb_n of_o the_o reet_n and_o have_v thereto_o lay_v the_o label_n i_o will_v number_v his_o declination_n upon_o the_o label_n from_o the_o limb_n inward_o and_o where_o it_o end_v make_v a_o prick_n by_o the_o edge_n of_o the_o label_n in_o the_o reet_n for_o he_o for_o there_o be_v the_o place_n of_o the_o sta_n but_o if_o the_o star_n place_v happen_v to_o be_v in_o a_o window_n of_o the_o reet_n where_o the_o reet_n be_v perforate_v than_o i_o will_v make_v the_o prick_n upon_o the_o label_n edge_n at_o the_o star_n declination_n and_o turn_v that_o prick_n to_o the_o horizon_n i_o may_v pintch_v the_o label_n close_o with_o the_o reet_n and_o turn_n both_o together_o which_o will_v be_v the_o handsome_a way_n but_o if_o i_o move_v the_o label_n prick_v alone_o to_o the_o horizon_n it_o be_v sufficient_a for_o this_o problem_n which_o need_v no_o more_o word_n chap._n xix_o to_o find_v the_o beginning_n and_o end_n of_o twilight_n by_o the_o sun_n declination_n and_o the_o latitude_n of_o the_o place_n set_v the_o planisphear_n in_o the_o first_o mode_n of_o the_o meridional_a projection_n then_o turn_v the_o planisphear_n that_o the_o zenich_n may_v be_v downward_o and_o the_o almicanter_n most_o below_o the_o horizon_n then_o go_v to_o the_o 18_o almicanter_n below_o the_o horizon_n and_o wheresoever_o the_o parallel_n of_o the_o sun_n declination_n do_v cut_v that_o almicanter_n there_o be_v the_o beginning_n and_o end_n of_o twilight_n and_o because_o every_o parallel_n be_v divide_v by_o the_o meridian_n into_o 12_o hour_n or_o 180_o degr_n every_o 15_o degr_n be_v one_o hour_n therefore_o you_o may_v easy_o count_v how_o far_o the_o point_n where_o twilight_n begin_v be_v distant_a from_o midnight_n or_o from_o noon_n or_o from_o sun-rise_n or_o sunset_n in_o the_o horizon_n example_n in_o our_o latitude_n 52_o degr_n 15_o min._n my_o planisphear_n set_v as_o aforesaid_a i_o find_v that_o where_o the_o 18_o almicanter_n cut_v the_o equator_fw-la under_o the_o horizon_n there_o cut_v also_o in_o the_o same_o intersection_n the_o 30_o meridian_n or_o second_o hour_n circle_n from_o the_o axis_n and_o centre_n by_o which_o i_o gather_v that_o when_o the_o sun_n be_v in_o the_o equator_fw-la the_o twilight_n begin_v two_o hour_n before_o 6_o or_o sunrising_n and_o end_n likewise_o at_o 8_o of_o the_o clock_n at_o night_n the_o sun_n then_o set_v as_o you_o may_v see_v at_o 6._o likewise_o where_o the_o winter_n tropic_n cut_v the_o 18_o almicanter_n there_o cut_v also_o the_o first_o meridian_n from_o the_o axis_n southward_o show_v that_o in_o the_o depth_n of_o winter_n twilight_n begin_v 4_o minute_n after_o 6_o in_o the_o morning_n and_o last_v till_o 5_o hour_n 56_o minute_n afternoon_n likewise_o i_o see_v that_o about_o the_o begin_n of_o ♊_o where_o the_o sun_n decline_v north-ward_n about_o 20_o degree_n the_o twilight_n last_v till_o midnight_n and_o that_o from_o that_o time_n till_o the_o sun_n come_v to_o ♌_o that_o be_v from_o may_n 11_o to_o july_n 11_o or_o thereabouts_o we_o have_v no_o dark_a night_n at_o all_o unless_o the_o sky_n be_v cloudy_a for_o in_o all_o that_o time_n the_o sun_n be_v never_o find_v above_o 18_o degree_n under_o the_o horizon_n chap._n xx._n to_o find_v the_o time_n of_o the_o cosmical_a rise_n and_o set_v of_o the_o star_n by_o their_o declination_n and_o right_a ascension_n and_o the_o latitude_n of_o the_o place_n astar_n be_v say_v to_o rise_v cosmical_o when_o he_o rise_v at_o the_o same_o instant_n with_o the_o sun_n to_o find_v it_o use_v the_o equinoctial_a projection_n turn_v the_o star_n be_v find_v in_o your_o reet_n to_o the_o east_n part_n of_o your_o horizon_n and_o look_v what_o degree_n of_o the_o ecliptic_a cut_v the_o same_o east_n part_n of_o your_o horizon_n for_o when_o the_o sun_n come_v to_o that_o degree_n the_o star_n and_o sun_n shall_v rise_v both_o together_o if_o the_o star_n be_v not_o in_o your_o reet_n put_v he_o in_o with_o ink_n as_o you_o put_v in_o the_o rest_n book_n 1.7_o if_o his_o place_n light_n upon_o a_o window_n or_o hole_n of_o the_o reet_n prick_v he_o on_o the_o edge_n of_o the_o label_n and_o hold_v reet_a and_o label_n close_o together_o while_o you_o turn_v he_o to_o the_o horizon_n example_n sirius_n i_o have_v among_o 40_o other_o principal_a star_n in_o my_o reet_n and_o will_v advise_v you_o not_o to_o be_v without_o he_o for_o he_o be_v a_o little_a sun_n in_o a_o winter_n night_n to_o tell_v you_o how_o the_o time_n pass_v he_o be_v call_v by_o the_o latin_v both_o canis_n and_o canicula_fw-la for_o they_o have_v no_o name_n for_o the_o little_a dog_n but_o call_v he_o by_o the_o greek_a name_n procyon_n as_o pliny_n witness_v lib._n 18_o chap._n 28_o yet_o i_o have_v see_v a_o late_a writer_n who_o take_v upon_o he_o to_o teach_v the_o college_n of_o physician_n both_o physic_n and_o astrology_n before_o he_o have_v well_o learned_a either_o of_o they_o who_o in_o his_o obtrectation_n upon_o the_o pharmacopaea_n lond._n in_o the_o chapter_n of_o vinum_fw-la scilliticum_fw-la galeni_fw-la betray_v his_o ignorance_n herein_o as_o elsewhere_o in_o 100_o other_o thing_n which_o i_o can_v show_v for_o in_o that_o very_a chapter_n pag._n 147_o of_o his_o four_o impression_n in_o 24_o short_a line_n he_o commit_v 5_o absurd_a error_n 1._o he_o make_v it_o doubtful_a whether_o canis_n be_v to_o be_v take_v for_o sirius_n or_o procyon_n 2._o he_o go_v about_o to_o teach_v galen_n where_o squill_n grow_v and_o that_o there_o be_v no_o hilly_a ground_n near_o the_o sea_n 3._o he_o suppose_v that_o the_o acronycal_a rise_n of_o the_o dog_n which_o happen_v in_o the_o depth_n of_o winter_n be_v a_o fit_a time_n to_o gather_v squil_n than_o the_o heliacal_a rise_n which_o happen_v near_o unto_o the_o cosmical_a in_o the_o heat_n of_o summer_n 4._o he_o either_o suppose_v that_o squil_n grow_v in_o the_o parallel_n of_o london_n or_o that_o by_o the_o rise_n of_o the_o dog_n at_o london_n man_n shall_v gather_v squil_n in_o greece_n or_o spain_n 5._o he_o tell_v the_o college_n that_o both_o the_o dog_n be_v between_o the_o equator_fw-la and_o the_o south_n pole_n which_o indeed_o be_v news_n if_o it_o be_v true_a let_v the_o ingenuous_a reader_n pardon_v this_o digression_n and_o i_o proceed_v this_o sirius_n i_o bring_v to_o our_o horizon_n the_o 52_o ¼_n and_o find_v that_o there_o rise_v with_o he_o in_o the_o ecliptic_a ♌_o 18_o ½_n in_o like_a manner_n with_o procyon_n rise_v ♌_o 6_o â…“_n therefore_o sirius_n rise_v cosmical_o with_o we_o august_n 1_o and_o procyon_n 12_o day_n soon_o but_o in_o greece_n and_o spain_n in_o the_o latitude_n 38_o degr_n sirius_n rise_v with_o ♌_o 4_o ½_n that_o be_v a_o fortnight_n soon_o a_o star_n be_v say_v to_o set_a cosmical_o when_o the_o sun_n rise_v at_o his_o set_n place_v the_o star_n therefore_o on_o the_o west_n part_n of_o your_o horizon_n then_o look_v what_o degree_n of_o the_o ecliptic_a rise_v in_o the_o east_n part_n for_o when_o the_o sun_n come_v to_o that_o degree_n the_o star_n shall_v set_v cosmical_o example_n i_o bring_v sirius_n to_o the_o south-west_n part_n of_o our_o horizon_n where_o he_o use_v to_o set_v and_o in_o the_o southeast_n part_n i_o see_v â™_o 23_o degree_n in_o the_o ecliptic_a rise_n therefore_o when_o the_o sun_n be_v in_o â™_o 23._o which_o be_v about_o november_n 5._o than_o shall_v sirius_n set_v cosmical_o but_o at_o athens_n in_o lat._n 37_o ¼_n his_o cosmical_a rise_n be_v ☉_o in_o ♌_o 4._o july_n 17_o his_o cosmical_a set_v be_v ☉_o in_o â™_o 9_o nou._n 20_o the_o pleyade_n in_o our_o lat_fw-mi cosmical_o rise_v ☉_o in_o ♉_o 12_o ½_n apr._n 22._o the_o
of_o the_o clock_n before_o noon_n and_o in_o the_o meridian_n i_o see_v ♓_o 25_o ½_n culminate_v and_o for_o his_o altitude_n i_o look_v where_o my_o horizon_n cut_v the_o south_n part_n of_o the_o meridian_n at_o 52_o ¼_n from_o the_o centre_n and_o from_o that_o cut_n i_o count_v in_o the_o meridian_n to_o the_o ecliptic_a 36_o degree_n the_o altitude_n of_o culmen_fw-la caeli_fw-la but_o note_n that_o if_o ♓_o have_v be_v a_o north_n sign_n i_o must_v have_v count_v first_o to_o the_o limb_n 37._o 45_o minute_n and_o thence_o back_o again_o to_o culmen_fw-la 1_o ¾_n in_o 39_o ½_n chap._n xlvii_o to_o find_v the_o ascendent_n or_o horoscope_n and_o the_o other_o three_o principal_a house_n for_o any_o time_n propose_v a_o strologer_n divide_v the_o heaven_n into_o twelve_o house_n of_o which_o four_o be_v principal_a the_o first_o house_n which_o begin_v at_o the_o ascendent_n or_o rise_a point_n of_o the_o ecliptic_a the_o four_o which_o begin_v at_o imum_fw-la caeli_fw-la or_o midnight_n the_o seven_o which_o begin_v at_o the_o descendent_a point_n of_o the_o ecliptic_a and_o the_o ten_o which_o begin_v at_o medium_fw-la caeli_fw-la or_o culmen_fw-la these_o be_v the_o four_o cardinal_n point_n and_o the_o ascendent_n and_o descendent_a and_o likewise_o the_o medium_fw-la and_o imum_fw-la caeli_fw-la be_v always_o opposite_a one_o to_o the_o other_o so_o that_o one_o be_v know_v the_o other_o be_v know_v also_o to_o find_v these_o point_n use_v the_o equinoctial_a projection_n and_o there_o lie_v the_o sun_n place_n to_o the_o hour_n propose_v then_o the_o degree_n of_o the_o ecliptic_a rise_n in_o your_o horizon_n be_v ascendent_n and_o you_o shall_v see_v the_o same_o degree_n of_o the_o opposite_a sign_n descend_v in_o the_o west_n part_n of_o the_o horizon_n and_o look_v what_o degree_n touch_v the_o south_n part_n of_o the_o meridian_n that_o be_v medium_fw-la caeli_fw-la and_o the_o same_o degree_n of_o the_o opposite_a sign_n shall_v be_v in_o imo_fw-la caeli_fw-la that_o be_v in_o the_o north_n and_o subterranean_a part_n of_o the_o meridian_n example_n march_n 29._o 1652._o i_o observe_v the_o great_a eclipse_n of_o the_o sun_n the_o middle_a whereof_o happen_v at_o ecton_n at_o 10_o hour_n 32_o minute_n 04_o second_o before_o noon_n in_o apparent_a time_n at_o what_o time_n the_o sun_n be_v darken_v digit_n 11._o 22_o ½_n in_o ♈_o 19_o 11_o minute_n i_o will_v know_v for_o this_o time_n the_o figure_n of_o the_o heaven_n therefore_o lay_v the_o label_n to_o 10.32_o minute_n before_o noon_n and_o bring_v ♈_o 19_o 11_o minute_n to_o the_o label_n i_o see_v in_o our_o horizon_n ♋_o 24._o 7_o minute_n rise_v and_o ♑_o 24.7_o minute_n set_v in_o the_o meridian_n above_o the_o horizon_n i_o see_v ♓_o 25._o 19_o minute_n and_o in_o imo_fw-la caeli_fw-la towards_o septentrio_fw-la â™_o 25._o 19_o minute_n chap._n xlviii_o to_o find_v the_o beginning_n of_o the_o other_o eight_o house_n there_o be_v six_o great_a circle_n by_o which_o the_o twelve_o house_n be_v distinguish_v they_o be_v call_v circle_n of_o position_n and_o so_o they_o call_v the_o rest_n of_o the_o circle_n which_o serve_v to_o subdivide_v the_o house_n they_o be_v all_o orison_n to_o some_o country_n or_o other_o in_o the_o world_n and_o therefore_o be_v most_o fit_o represent_v by_o the_o orison_n of_o the_o mater_n the_o first_o house_n begin_v always_o at_o the_o ascendent_n and_o the_o rest_n follow_v in_o order_n according_a to_o the_o sequel_n of_o the_o sign_n but_o astrologer_n be_v not_o well_o agree_v about_o their_o situation_n for_o 1._o some_o will_v have_v the_o domify_a circle_n draw_v from_o the_o pole_n of_o the_o ecliptic_a through_o every_o 30_o degree_n thereof_o as_o ptolemie_n 2._o some_o draw_v they_o from_o the_o pole_n of_o the_o world_n through_o every_o 30_o degree_n of_o the_o equator_fw-la as_o alcabitius_n 3._o some_o draw_v they_o from_o the_o intersection_n of_o the_o meridian_n and_o horizon_n through_o every_o 30_o degree_n of_o the_o equator_fw-la as_o regiomontanus_n 4._o some_o draw_v they_o from_o the_o same_o intersection_n by_o every_o 30_o degree_n of_o the_o prime_n vertical_a or_o east_n azimuth_n as_o campanus_n yet_o every_o astrologer_n will_v pretend_v he_o can_v tell_v you_o your_o fortune_n though_o they_o go_v about_o it_o so_o divers_a way_n that_o they_o may_v be_v all_o false_a and_o but_o one_o of_o they_o can_v be_v true_a and_o no_o man_n have_v show_v any_o better_a reason_n for_o his_o way_n then_o another_o but_o his_o own_o opinion_n if_o you_o will_v follow_v the_o first_o or_o second_o way_n the_o matter_n be_v plain_a for_o in_o the_o first_o way_n every_o 30_o circle_n of_o longitude_n reckon_v from_o the_o ascendent_n downward_o and_o so_o round_o be_v a_o domify_a circle_n and_o likewise_o every_o 30_o meridian_n from_o the_o ascendent_n be_v a_o domify_a circle_n in_o the_o second_o way_n and_o if_o you_o know_v but_o what_o longitude_n a_o star_n have_v you_o present_o find_v in_o what_o house_n he_o be_v after_o the_o first_o way_n and_o if_o you_o know_v the_o right_a ascension_n of_o a_o star_n and_o of_o the_o ascendent_n you_o present_o find_v in_o what_o house_n he_o be_v after_o the_o second_o way_n but_o if_o you_o will_v use_v the_o three_o way_n now_o common_o use_v you_o shall_v set_v the_o zonith_n line_n of_o the_o reet_n to_o the_o latitude_n and_o so_o the_o azimuth_n be_v your_o circle_n of_o position_n then_o look_v what_o azimuth_n cut_v every_o 30_o degree_n of_o the_o equinoctial_a that_o be_v a_o domify_a circle_n and_o you_o shall_v reckon_v here_o from_o the_o limb_n which_o shall_v stand_v for_o the_o begin_n of_o the_o 10_o house_n and_o so_o in_o our_o horizon_n 52_o ¼_n the_o forty_o three_o azimuth_n cut_v the_o 30_o degree_n of_o the_o equator_fw-la serve_v the_o 11_o and_o three_o house_n and_o the_o azimuth_n 70_o ½_n cut_v the_o 60th_o degree_n of_o the_o equator_fw-la serve_v the_o 12_o and_o second_o house_n and_o because_o i_o know_v that_o on_o the_o other_o side_n the_o centre_n the_o intersection_n will_v be_v like_a i_o look_v no_o further_o but_o now_o i_o must_v get_v the_o depression_n of_o these_o circle_n under_o the_o pole_n in_o this_o manner_n i_o number_n in_o the_o forty_o three_o azimuth_n the_o latitude_n of_o my_o place_n from_o the_o zenith_n to_o the_o end_n of_o which_o number_n i_o lay_v the_o label_n and_o i_o see_v the_o azimuth_n cut_v on_o the_o label_n 32_o ½_n for_o the_o depression_n of_o that_o circle_n and_o in_o like_a manner_n lay_v the_o label_n upon_o the_o 52_o degree_n ¼_n of_o the_o azimuth_n 70_o ½_n i_o find_v on_o the_o label_n his_o depression_n 48_o degree_n by_o the_o three_o problem_n of_o rectangl_n trangle_v and_o the_o three_o variety_n book_n 3_o 5.1â—_n these_o orison_n therefore_o i_o choose_v out_o in_o the_o mater_fw-la viz._n 32_o ½_n and_o 48._o for_o these_o with_o the_o meridian_n and_o horizon_n of_o my_o place_n shall_v serve_v to_o get_v the_o house_n for_o ever_o in_o my_o latitude_n for_o the_o 32_o ½_n horizon_n shall_v be_v the_o beginning_n of_o the_o 11_o and_o three_o house_n and_o the_o 48th_o the_o beginning_n of_o the_o 12_o and_o second_o thus_o have_v i_o the_o circle_n of_o position_n of_o the_o 11_o 12_o 2_o and_o 3._o house_n and_o the_o 10_o and_o first_o be_v have_v by_o the_o former_a chapter_n and_o these_o six_o be_v have_v i_o have_v all_o for_o opposite_a hemisphear_n be_v always_o alike_o and_o one_o description_n serve_v both_o chap._n xlix_o to_o know_v what_o degree_n of_o the_o ecliptic_a be_v in_o the_o begin_n of_o every_o house_n do_v as_o in_o this_o example_n by_o chap._n 47._o i_o have_v the_o degree_n culminate_v in_o the_o middle_n of_o the_o great_a eclipse_n there_o mention_v ♓_o 25_o ½_n first_o i_o lay_v ♓_o 25_o ½_n to_o the_o axtree_n line_n at_o 6_o in_o the_o morning_n where_o it_o lie_v as_o in_o a_o right_a horizon_n thence_o i_o move_v it_o 30_o degr_n south_n ward_n in_o the_o limb_n viz._n to_o 8._o of_o the_o clock_n and_o in_o the_o horizon_n of_o the_o 11_o house_n 32_o ½_n i_o see_v ♉_o 7_o degree_n set_v the_o say_a degree_n of_o culmination_n 30_o degree_n further_o viz._n to_o 10._o a_o clock_n i_o see_v in_o the_o horizon_n of_o the_o 12_o house_n 48._o ♊_o 24_o ½_n and_o set_v the_o say_a degree_n of_o culmination_n to_o the_o noon-line_n i_o see_v in_o our_o horizon_n 52_o ¼_n which_o begin_v the_o first_o house_n ♋_o 24_o ½_n ascend_v and_o set_v the_o say_a degree_n 2_o hour_n further_o on_o i_o see_v in_o the_o horizon_n of_o the_o second_o house_n 48_o ♌_o 13._o and_o set_v the_o say_a degree_n to_o 4_o a_o clock_n i_o see_v in_o the_o horizon_n
follow_v this_o azimuth_n to_o the_o finitor_n there_o be_v nonagesimus_fw-la gradus_fw-la and_o the_o altitude_n thereof_o 42_o degree_n count_v from_o the_o limb_n here_o horizon_n the_o azimuth_n thereof_o lie_v in_o the_o limb_n between_o the_o finitor_n and_o the_o meridian_n 36_o ⅓_n as_o before_o equal_a to_o the_o amplitude_n of_o the_o ascendent_n i_o number_v also_o from_o ♓_o 25_o ½_n in_o the_o meridian_n 23._o 41_o minute_n to_o the_o left_a hand_n still_o and_o there_o i_o have_v ♈_o 19_o 11_o minute_n the_o sun_n place_n which_o cut_v on_o the_o label_n 41_o ⅔_n for_o the_o altitude_n of_o the_o sun_n there_o and_o the_o label_n at_o the_o same_o time_n cut_v in_o the_o limb_n about_o 29._o from_o south_n eastward_o for_o the_o azimuth_n of_o the_o sun_n and_o after_o the_o same_o manner_n you_o have_v before_o you_o the_o altitude_n and_o azimuth_n of_o every_o other_o degree_n of_o the_o ecliptic_a for_o the_o time_n propose_v chap._n lviii_o to_o do_v the_o same_o by_o the_o nonagesimal_n projection_n if_o the_o altitude_n of_o nonagesimus_fw-la gradus_fw-la be_v first_o give_v instead_o of_o the_o altitude_n of_o culmen_fw-la caeli_fw-la set_v your_o planisphear_n in_o the_o nonagesimal_n projection_n by_o book_n 2.3_o that_o be_v make_v the_o limb_n now_o to_o represent_v the_o circle_n of_o longitude_n or_o azimuth_n for_o it_o be_v both_o which_o cut_v the_o nonagesimus_fw-la gradus_fw-la and_o make_v the_o equinoctial_a line_n here_o to_o be_v horizon_n and_o from_o the_o equinectial_a line_n number_n in_o the_o limb_n the_o altitude_n of_o nonagesimus_fw-la gradus_fw-la and_o thereto_o set_v the_o finitor_n so_o shall_v the_o finitor_n be_v ecliptic_a the_o nonagesimus_fw-la gradus_fw-la at_o the_o limb_n the_o ascendent_n and_o descendent_a at_o the_o centre_n and_o because_o the_o equinoctial_a line_n be_v horizon_n in_o this_o projection_n therefore_o the_o meridian_n become_v azimuth_n and_o the_o parallel_n almicantars_n show_v the_o altitude_n and_o azimuth_n of_o every_o degree_n of_o the_o ecliptic_a if_o you_o reckon_v as_o you_o ought_v in_o this_o manner_n reckon_v in_o the_o equinoctial_a line_n here_o horizon_n from_o the_o centre_n the_o amplitude_n of_o the_o ascendent_n to_o the_o right_a hand_n if_o it_o be_v a_o north_n sign_n and_o contrary_o if_o it_o be_v a_o south_n sign_n where_o this_o amplitude_n end_n be_v the_o east_n point_n from_o whence_o you_o shall_v reckon_v all_o your_o azimuth_n count_n thence_o to_o the_o limb_n and_o back_n again_o if_o need_v be_v in_o the_o say_v equinoctial_a line_n till_o you_o have_v make_v 90_o degree_n there_o be_v your_o meridian_n as_o far_o distant_a from_o the_o limb_n as_o the_o east_n point_n be_v from_o the_o ascendent_n follow_v this_o meridian_n to_o the_o finitor_n and_o there_o he_o show_v you_o culmen_fw-la caeli_fw-la and_o the_o parallel_n there_o cut_v show_v the_o altitude_n thereof_o now_o may_v you_o find_v every_o degree_n of_o the_o ecliptic_a above_o the_o horizon_n if_o you_o know_v but_o what_o ascend_v or_o descend_v or_o culminate_v and_o of_o every_o such_o degree_n the_o parallel_n show_v you_o the_o altitude_n and_o the_o meridian_n show_n his_o azimuth_n if_o you_o begin_v your_o number_n from_o the_o east_n or_o south_n azimuth_n example_n when_o ♋_o 24_o degree_n be_v ascend_v as_o in_o the_o example_n before_o use_v as_o by_o consequence_n ♈_o 24._o in_o nonagisimo_fw-la gradu_fw-la ♂_o be_v in_o ♉_o 4._o 45_o minute_n and_o have_v but_o 3._o or_o 4._o minute_n south_n latitude_n i_o will_v know_v ♂_o his_o altitude_n and_o azimuth_n set_v go_v the_o finitor_n above_o the_o equinoctial_a line_n 42_o degree_n which_o be_v the_o altitude_n of_o nonagesimus_fw-la gradus_fw-la i_o say_v because_o the_o nonagesimus_fw-la gradus_fw-la at_o the_o end_n of_o the_o finitor_n in_o the_o limb_n be_v ♈_o 24._o therefore_o i_o must_v count_v back_o 10._o 45_o minute_n towards_o the_o ascendent_n for_o mars_n and_o there_o the_o parallel_n 41_o degree_n with_o 10_o minute_n cut_v the_o finitor_n for_o the_o altitude_n of_o ♂_o and_o the_o 14_o meridian_n eastward_o from_o the_o limb_n give_v i_o his_o azimuth_n which_o if_o i_o begin_v to_o reckon_v from_o the_o east_n point_n fall_v out_o to_o be_v almost_o the_o 40th_o azimuth_n from_o the_o east_n mars_n his_o latitude_n here_o be_v not_o regard_v chap._n lix_n the_o nonagesimus_fw-la gradus_fw-la and_o his_o altitude_n and_o azimuth_n give_v as_o in_o the_o former_a chapter_n how_o in_o the_o same_o projection_n to_o get_v the_o altitude_n and_o azimuth_n of_o any_o planet_n or_o star_n by_o his_o longitude_n and_o latitude_n your_o palnisphear_n set_v as_o in_o the_o former_a chapter_n you_o shall_v number_v the_o longitude_n of_o the_o star_n upon_o the_o finitor_n here_o ecliptic_a beginning_n at_o the_o descendent_a or_o nonagesimus_fw-la gardus_fw-la and_o in_o the_o azimuth_n serve_v his_o longitude_n count_v his_o latitude_n by_o the_o almicantars_n at_o the_o end_n of_o which_o account_n be_v the_o star_n place_n for_o this_o time_n the_o parallel_n cut_v there_o show_v his_o altitude_n and_o the_o meridian_n cut_v there_o show_v his_o azimuth_n if_o you_o count_v from_o the_o east_n point_n as_o you_o be_v teach_v in_o the_o former_a chapter_n example_n lucida_n pleiadum_fw-la be_v in_o longitude_n ♉_o 25._o 10_o minute_n latitude_n 4_o degree_n 00_o minute_n north._n therefore_o from_o the_o nonagesimus_fw-la gradus_fw-la ♈_o 24._o i_o number_n in_o the_o finitor_n towards_o the_o ascendent_n 31._o 10_o minute_n and_o there_o be_v the_o longitude_n of_o lucida_n pleiaedum_n in_o the_o azimuth_n that_o cut_v here_o i_o go_v up_o northward_o 4_o degree_n and_o there_o i_o make_v a_o prick_n for_o lucida_n pleiadum_fw-la now_o the_o parallel_n 38_o ½_n show_v i_o his_o altitude_n and_o the_o 48th_o ½_n meridian_n from_o the_o centre_n show_v i_o that_o lucida_n pleiadum_fw-la be_v go_v 48_o ½_n in_o azimuth_n from_o the_o ascendent_n but_o from_o the_o east_n point_n only_o 12_o degree_n 10_o minute_n chap._n lx._n the_o altitude_n and_o azimuth_n of_o any_o star_n take_v and_o either_o the_o ascendent_n nonagesimus_fw-la gradus_fw-la or_o culmen_fw-la caeli_fw-la know_v how_o by_o the_o same_o nonagesimal_a projection_n to_o find_v the_o star_n longitude_n and_o latitude_n if_o you_o know_v either_o the_o ascendent_n nonagesimus_fw-la gradus_fw-la or_o culmen_fw-la caeli_fw-la you_o have_v enough_o to_o put_v your_o planisphear_n in_o the_o nonagesimal_n projection_n by_o the_o former_a chapter_n and_o your_o planisphear_n so_o set_v you_o shall_v seek_v out_o the_o meridian_n which_o stand_v for_o the_o azimuth_n in_o which_o you_o observe_v the_o star_n and_o therein_o number_n from_o the_o equinoctial_a line_n the_o altitude_n observe_v the_o azimuth_n and_o almicantar_n cut_v there_o show_v the_o longitude_n and_o latitude_n of_o the_o star_n inquire_v if_o the_o azimuth_n reach_v not_o the_o place_n of_o the_o star_n turn_v the_o reet_a half_a round_n and_o let_v the_o zenith_n and_o nadir_n point_v change_v place_n and_o your_o turn_n be_v serve_v example_n febr._n 13_o 1657_o 8._o i_o observe_v somewhat_o near_o that_o ♃_o be_v go_v westward_o from_o the_o meridian_n in_o azimuth_n 14_o degree_n and_o that_o his_o altitude_n be_v 61_o degree_n sirius_n be_v then_o in_o the_o meridian_n by_o which_o i_o have_v the_o ascendent_n culmen_fw-la and_o nonagesimus_fw-la gradus_fw-la any_o or_o all_o of_o they_o give_v for_o when_o in_o the_o equinoctial_a projection_n i_o bring_v sirius_n to_o the_o meridian_n line_n it_o be_v all_o one_o as_o if_o i_o have_v set_v the_o sun_n place_n to_o the_o hour_n of_o the_o night_n by_o chapter_n 46._o and_o i_o see_v there_o culminate_v with_o sirius_n ♋_o 7._o 10_o minute_n who_o meridian_n altitude_n by_o the_o 46._o be_v 61._o 5_o minute_n and_o i_o see_v ♎_o 5_o ½_n ascend_v in_o my_o horizon_n and_o ♈_o 5_o ½_n descend_v therefore_o ♋_o 5_o ½_n be_v nonagesimus_fw-la gradus_fw-la which_o be_v 90_o degree_n distant_a both_o from_o the_o ascendent_n and_o descendent_a his_o altitude_n by_o chapter_n 55._o 61._o 10_o minute_n almost_o therefore_o i_o set_v the_o finitor_n 61._o 10_o minute_n above_o meridies_n as_o chapter_n 58._o and_o in_o the_o finitor_n at_o the_o limb_n i_o count_v ♋_o 5_o ½_n nonagesimus_fw-la gradus_fw-la thence_o i_o go_v inward_o in_o the_o finitor_n 1._o 40_o minute_n where_o i_o come_v to_o ♋_o 7._o 10._o the_o degree_n of_o culmination_n this_o degree_n be_v cut_v by_o the_o four_o meridian_n from_o the_o limb_n whereby_o i_o learn_v that_o this_o four_o meridian_n will_v be_v the_o meridian_n of_o my_o place_n and_o that_o the_o amplitude_n of_o the_o nonagesimus_fw-la gradus_fw-la and_o likewise_o of_o the_o ascendent_n be_v 4_o degree_n now_o to_o place_v ♃_o in_o the_o mater_fw-la i_o count_v his_o azimuth_n first_o beginning_n from_o the_o meridian_n of_o my_o
problem_n and_o to_o make_v all_o sort_n of_o sun_a dial_n very_o easy_o by_o the_o planisphear_n chap._n i._n the_o preface_n of_o the_o kind_n of_o dial_n although_o gnomonique_n pertain_v to_o astronomy_n yet_o i_o think_v it_o not_o amiss_o for_o the_o ease_n of_o the_o reader_n in_o find_v they_o to_o place_v the_o gnomonical_a problem_n in_o a_o distinct_a book_n by_o themselves_o sun_n dial_n may_v be_v reduce_v to_o two_o sort_n some_o show_v the_o hour_n by_o the_o altitude_n of_o the_o sun_n as_o quadrant_n ring_n cylinder_n etc._n etc._n for_o the_o make_n whereof_o you_o must_v know_v the_o sun_n altitude_n for_o every_o day_n or_o at_o least_o every_o 10_o day_n of_o the_o year_n and_o for_o every_o hour_n of_o those_o day_n which_o altitude_n you_o may_v find_v immediate_o upon_o this_o planisphear_n as_o in_o a_o table_n make_v to_o your_o hand_n for_o any_o latitude_n by_o book_n 3.25_o and_o so_o make_v they_o of_o any_o shape_n according_a to_o your_o mind_n the_o other_o sort_n show_v the_o hour_n by_o the_o shadow_n of_o a_o gnomon_n or_o style_n parallel_n to_o the_o axis_n of_o the_o world_n and_o of_o those_o i_o treat_v chief_o in_o this_o book_n those_o be_v all_o projection_n of_o the_o sphere_n upon_o a_o plain_a which_o lie_v parallel_n to_o some_o horizon_n or_o other_o in_o the_o world_n and_o if_o upon_o such_o a_o plain_a the_o meridian_n only_a be_v project_v they_o shall_v suffice_v to_o show_v the_o hour_n without_o project_v the_o other_o circle_n as_o the_o ecliptic_a the_o equator_fw-la with_o his_o parallel_n of_o declination_n the_o horizon_n with_o his_o almicantars_n and_o azimuth_n which_o be_v sometime_o draw_v upon_o dial_n more_o for_o ornament_n than_o for-necessity_n chap._n ii_o theorem_n premise_v for_o the_o better_a understanding_n of_o the_o reason_n of_o dial_n these_o theorem_n will_v be_v know_v 1._o that_o every_o plain_a whereupon_o any_o dyal_n be_v draw_v be_v part_n of_o the_o plain_a of_o great_a circle_n of_o the_o heaven_n which_o circle_n be_v a_o horizon_n to_o some_o country_n or_o other_o that_o the_o centre_n of_o the_o dyal_n represent_v the_o centre_n of_o the_o earth_n and_o world_n and_o the_o gnomon_n which_o cast_v the_o shade_n represent_v the_o axis_n and_o aught_o to_o point_v direct_o to_o the_o two_o pole_n and_o if_o upon_o the_o centre_n of_o the_o dyal_n you_o fasten_v a_o label_n with_o sight_n of_o equal_a altitude_n and_o keep_v your_o eye_n in_o the_o line_n of_o the_o sight_n turn_v this_o label_n round_o you_o shall_v thereby_o describe_v in_o the_o heaven_n that_o great_a circle_n wherein_o your_o dyal-plain_a lie_n and_o see_v where_o it_o cut_v our_o horizon_n and_o how_o much_o it_o be_v elevate_v above_o it_o on_o one_o side_n and_o depress_v on_o the_o other_o 2._o that_o those_o dyal-plain_n geometrical_o be_v not_o in_o the_o very_a plain_n of_o great_a circle_n for_o than_o they_o shall_v have_v their_o centre_n in_o the_o centre_n of_o the_o earth_n from_o which_o they_o be_v remove_v almost_o 4000_o miles_n and_o in_o truth_n they_o lie_v in_o the_o plain_n of_o circle_n parallel_v to_o the_o say_a orison_n but_o so_o near_o they_o that_o optical_o they_o seem_v to_o be_v the_o plain_n of_o those_o orison_n because_o the_o semidiameter_n of_o the_o earth_n bear_v so_o small_a proportion_n to_o the_o sun_n distance_n that_o the_o whole_a earth_n may_v be_v take_v for_o one_o point_n or_o centre_n without_o any_o perceivable_a error_n 3._o that_o as_o all_o great_a circle_n of_o the_o sphere_n so_o every_o dyal-plain_a have_v his_o axis_n which_o be_v a_o straight_a line_n pass_v through_o the_o centre_n of_o the_o plain_a and_o make_v right_a angle_n with_o it_o and_o at_o the_o end_n of_o the_o axis_n be_v the_o two_o pole_n of_o the_o plain_a whereof_o that_o above_o our_o horizon_n be_v call_v the_o pole_n zenith_n and_o the_o other_o the_o pole_n nadir_n of_o the_o dyal_n 4._o that_o every_o dyal-plain_a have_v two_o face_n or_o side_n and_o look_v what_o respect_n or_o situation_n the_o north_n pole_n of_o the_o world_n have_v to_o the_o one_o side_n the_o same_o have_v the_o south_n pole_n to_o the_o other_o and_o these_o two_o side_n will_v always_o receive_v 24_o hour_n so_o that_o what_o one_o side_n want_v the_o other_o side_n shall_v have_v and_o the_o one_o be_v describe_v in_o all_o thing_n as_o the_o other_o 5._o that_o as_o orison_n so_o dyal-plain_n be_v with_o respect_n to_o the_o equator_fw-la divide_v into_o 1._o parallel_n or_o equinoctial_a 2._o right_o 3._o oblique_a 6._o a_o parallel_n or_o polar_a dyal-plain_a make_v no_o angle_n with_o the_o equator_fw-la but_o lie_v in_o the_o plain_a of_o it_o or_o parallel_v to_o it_o such_o dial_n be_v scioterica_fw-la orthognomonica_n that_o be_v have_v the_o gnomon_n erect_v on_o the_o plain_a at_o right_a angle_n as_o the_o axis_n of_o the_o world_n be_v upon_o the_o plain_a of_o the_o equator_fw-la because_o the_o axis_n and_o pole_n of_o the_o dyal_n be_v here_o all_o one_o with_o the_o axis_n and_o pole_n of_o the_o world_n and_o the_o hour_n line_n here_o meet_v all_o at_o the_o centre_n make_v equal_a angle_n and_o divide_v the_o dyal_n circle_n into_o 24._o equal_a part_n as_o the_o meridian_n do_v the_o equator_fw-la in_o who_o plain_n the_o dyal_n lie_v 7._o a_o right_a horizon_n or_o dyal-plain_a cut_v the_o equator_fw-la at_o right_a angle_n and_o so_o cut_v through_o both_o the_o pole_n of_o the_o world_n therefore_o such_o dial_n be_v paralielognomonical_a that_o be_v have_v the_o gnomon_n parallel_n to_o the_o plain_a and_o so_o the_o hour_n line_n and_o the_o hour_n line_n all_o parallel_n one_o to_o another_o because_o their_o plain_n though_o infinite_o extend_v will_v never_o cut_v the_o axis_n of_o the_o world_n yet_o have_v those_o dial_n a_o centre_n though_o not_o for_o the_o meeting_n of_o the_o hour_n line_n viz._n through_o which_o the_o axis_n of_o the_o dyal_n circle_n pass_v cut_v the_o plain_a at_o right_a angle_n and_o cut_v also_o near_o enough_o for_o the_o project_v of_o a_o dyal_n the_o centre_n of_o the_o world_n 8._o a_o oblique_a horizon_n or_o dyal-plain_a cut_v the_o equator_fw-la at_o oblique_a angle_n such_o dial_n be_v scalenognomonical_a that_o be_v have_v for_o their_o gnomon_n the_o side_n of_o a_o triangle_n who_o angle_n vary_v according_a to_o the_o more_o or_o less_o obliquity_n of_o the_o say_a horizon_n and_o the_o gnomon_n shall_v always_o make_v a_o angle_n with_o the_o plain_a of_o so_o many_o degree_n as_o the_o axis_n of_o the_o world_n make_v with_o the_o plain_a or_o as_o either_o of_o the_o pole_n of_o the_o world_n be_v elevate_v above_o the_o plain_a 9_o every_o oblique_a horizon_n be_v divide_v by_o the_o meridian_n or_o hour_n circle_n of_o the_o sphere_n into_o 24._o unequal_a part_n which_o part_n be_v always_o lesser_a as_o they_o be_v scare_o to_o the_o meridian_n of_o that_o horizon_n or_o plain_n and_o great_a as_o they_o be_v further_o off_o and_o on_o both_o side_n the_o meridian_n of_o the_o plain_a the_o hour_n circle_n which_o be_v equal_o distant_a in_o time_n be_v also_o equal_o distant_a in_o space_n whence_o it_o be_v that_o the_o division_n of_o one_o quadrant_n of_o your_o dyal_n plain_o be_v know_v the_o division_n of_o the_o whole_a circle_n be_v likewise_o know_v 10._o the_o hour-line_n in_o a_o oblique_a dyal_n be_v the_o section_n of_o the_o plain_n of_o the_o hour-circle_n of_o the_o sphere_n with_o the_o dial_n plain_a and_o because_o the_o plain_n of_o great_a circle_n do_v always_o cut_v one_o another_o in_o half_n by_o diameter_n which_o be_v straight_o line_n pass_v through_o the_o common_a centre_n therefore_o line_n draw_v from_o the_o centre_n of_o the_o dyal_n to_o the_o intersection_n of_o the_o hour-circle_n with_o the_o great_a circle_n of_o the_o plain_a shall_v be_v those_o very_a section_n and_o the_o very_a hour-line_n of_o the_o dyal_n 11._o every_o dyal-plain_a be_v a_o horizon_n to_o some_o place_n in_o the_o earth_n as_o be_v say_v theorem_fw-la 1_o have_v his_o proper_a meridian_n which_o be_v the_o meridian_n cut_v through_o the_o â—oles_n of_o the_o plain_a and_o make_v right_a angle_n with_o the_o plain_a if_o the_o pole_n of_o the_o dyal-plain_a lie_n in_o the_o meridian_n of_o our_o place_n then_o be_v the_o meridian_n of_o the_o plain_a all_o one_o with_o the_o meridian_n of_o the_o place_n and_o the_o gnomon_n or_o style_n shall_v stand_v erect_v upon_o the_o noon-line_n or_o line_n of_o 12_o a_o clock_n as_o in_o all_o direct_a dial_n but_o if_o the_o plain_a decline_n then_o shall_v the_o substylar_n or_o line_n wherein_o the_o gnomon_n stand_v which_o be_v the_o meridian_n of_o the_o plain_a vary_v from_o the_o noon-line_n which_o be_v the_o
be_v place_v upon_o the_o sole_a of_o the_o window_n shall_v supply_v the_o use_n of_o the_o nodus_fw-la in_o the_o gnomon_n and_o the_o beam_n of_o the_o sun_n be_v reflect_v by_o this_o glass_n or_o water_n shall_v show_v the_o hour_n upon_o the_o ceiling_n the_o planisphear_n shall_v help_v you_o to_o make_v this_o dyal_n two_o way_n if_o the_o window_n decline_v not_o much_o from_o the_o south_n you_o may_v make_v it_o most_o easy_o the_o first_o way_n but_o if_o it_o decline_v much_o and_o so_o the_o line_n fall_v much_o upon_o the_o partition_n wall_n or_o if_o you_o will_v adorn_v this_o dyal_n with_o the_o parallel_n or_o other_o circle_n you_o shall_v use_v the_o second_o way_n the_o first_o way_n be_v this_o draw_v a_o meridian_n line_n upon_o the_o floor_n by_o book_n 4.3_o so_o that_o it_o may_v point_v upon_o the_o perpendicular_a which_o you_o shall_v imagine_v to_o fall_v from_o the_o nodus_fw-la upon_o the_o plain_a of_o the_o floor_n prolong_v and_o this_o may_v be_v most_o easy_o do_v if_o you_o hang_v a_o plumb-line_n in_o the_o window_n dnecuy_v over_o the_o nodus_fw-la of_o place_n of_o the_o glais_n for_o the_o shadow_n which_o that_o plumb-line_n give_v upon_o the_o floor_n at_o noon_n be_v the_o meridian_n line_n seek_v and_o by_o a_o ruler_n or_o a_o line_n stretch_v upon_o it_o you_o may_v prolong_v it_o as_o far_o as_o you_o shall_v need_v then_o let_v a_o plumb_n line_n fall_n from_o the_o ceiling_n upon_o this_o meridian_n line_n of_o the_o floor_n and_o behind_o it_o northward_o or_o southward_o place_v your_o ey_fw-mi so_o that_o the_o plumb-line_n may_v hide_v the_o meridian_n line_n of_o the_o floor_n from_o your_o ey_fw-mi then_o keep_v your_o head_n steady_a cast_v you_o ay_o up_o to_o the_o ceiling_n and_o direct_v one_o to_o make_v two_o point_n at_o a_o good_a distance_n in_o the_o line_n upon_o the_o ceiling_n which_o the_o plumb-line_n now_o cover_v from_o your_o ey_fw-mi and_o by_o these_o point_v you_o shall_v draw_v a_o straight_a meridian_n on_o the_o ceiling_n then_o have_v fasten_v one_o end_n of_o a_o line_n at_o nodus_fw-la let_v another_o stretch_v this_o line_n up_o to_o the_o meridian_n on_o the_o ceiling_n and_o let_v he_o move_v his_o hand_n near_o or_o further_o in_o the_o meridian_n till_o you_o find_v by_o a_o quadrant_n that_o this_o line_n point_v up_o northward_o as_o many_o degree_n as_o the_o elevation_n of_o the_o equator_fw-la be_v in_o your_o country_n and_o then_o you_o shall_v cause_v he_o to_o make_v a_o point_n where_o the_o line_n touch_v the_o meridian_n of_o the_o ceiling_n and_o through_o that_o point_n you_o shall_v draw_v the_o equinoctial_a line_n of_o your_o dyal_n cut_v the_o say_a meridian_n at_o right_a angle_n the_o length_n of_o the_o thread_n from_o the_o nodus_fw-la to_o the_o point_n in_o the_o meridian_n where_o the_o equinoctial_a cut_v he_o be_v radius_fw-la of_o the_o equinoctial_a to_o that_o radius_fw-la you_o shall_v find_v the_o tangent_n of_o 15_o 30_o 45_o 60_o 75._o as_o you_o find_v the_o co-tangents_a chapter_n 27._o know_v that_o the_o co-tangents_a of_o 80_o and_o 70._o be_v the_o tangent_n of_o 10_o and_o 20_o and_o so_o of_o the_o rest_n and_o begin_v in_o the_o meridian_n make_v prick_n in_o the_o equinoctial_a line_n at_o the_o end_n of_o the_o tangent_fw-la of_o 15._o eastward_o for_o 1._o and_o westward_n for_o 11._o and_o at_o the_o end_n of_o the_o tangent_fw-la of_o 30._o prick_v eastward_o 2._o and_o westward_o 10._o etc._n etc._n then_o by_o chapter_n 9_o seek_v what_o angle_v the_o hour_n line_n of_o a_o vertical_a dyal_n make_v at_o the_o centre_n which_o in_o our_o latitude_n be_v 1.11.58_o minute_n 2.24.32_o minute_n 3.38.20_o minute_n 4.53.52_o minute_n 5.71.17_o minute_n and_o with_o the_o compliment_n of_o these_o angle_n shall_v these_o hour_n line_n across_o the_o equinoctial_a so_o the_o hour_n line_n of_o 1._o shall_v incline_v to_o the_o meridian_n on_o the_o south_n side_n the_o equinoctial_a line_n and_o shall_v make_v his_o lesser_a angle_n with_o the_o equinoctial_a 78.02_o minute_n and_o the_o rest_n as_o in_o the_o figure_n the_o second_o way_n be_v this_o fit_a a_o plain_a smooth_a board_n about_o a_o foot_n square_a to_o lie_v level_a from_o the_o foal_n of_o the_o window_n inward_o and_o near_o the_o outer_a edge_n thereof_o make_v a_o centre_n in_o the_o board_n in_o the_o very_a place_n of_o nodus_fw-la or_o a_o little_a under_o it_o remember_v that_o the_o nodus_fw-la or_o centre_n of_o the_o glass_n must_v be_v set_v so_o much_o high_a than_o this_o board_n as_o the_o centre_n of_o your_o quadrant_n be_v place_v high_a in_o the_o project_v of_o the_o dyal_n upon_o that_o centre_n take_v in_o the_o board_n describe_v as_o much_o of_o a_o circle_n as_o you_o may_v with_o the_o semidiameter_n of_o your_o quadrant_n which_o circle_n shall_v be_v horizon_n draw_v here_o from_o the_o centre_n to_o the_o horizon_n inward_o a_o meridian_n line_n by_o book_n 4.3_o and_o where_o it_o cut_v the_o horizon_n begin_v to_o graduate_v the_o horizon_n into_o degree_n of_o azimuth_n both_o way_n which_o you_o may_v speedy_o do_v by_o transfer_v the_o graduation_n of_o your_o quadrant_n or_o so_o much_o as_o you_o shall_v need_v to_o this_o horizon_n next_o you_o must_v devise_v to_o make_v your_o quadrant_n stand_v firm_a and_o upright_o upon_o one_o of_o his_o straight_a side_n which_o i_o will_v call_v his_o foot_n for_o this_o time_n and_o that_o you_o may_v thus_o do_v take_v a_o short_a piece_n of_o a_o ruler_n or_o sinal_n transom_n and_o see_v in_o one_o side_n of_o it_o a_o notch_n perperdicular_o in_o which_o notch_n you_o may_v stick_v fast_o or_o wedge_n the_o heel_n or_o the_o toe_n of_o your_o quadrant_n in_o such_o sort_n that_o his_o foot_n may_v come_v close_o to_o the_o board_n and_o the_o other_o straight_o side_n or_o leg_n may_v stand_v perpendicular_a upon_o it_o those_o thing_n prepare_v put_v your_o planisphear_n in_o the_o meridional_a 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0._o ⅛_n 0._o 41.56_o 4._o 1.47.28_o 1._o  _fw-fr 49.48_o 3._o 2.03.28_o 2._o  _fw-fr 59.44_o 2._o 15.32_o 3._o 1._o 09.44_o 1._o 22.40_o 4._o  _fw-fr 26.12_o 0._o 31.04_o 4._o ⅛_n 33.32_o  _fw-fr  _fw-fr 6._o at_o easton_n macodit_fw-la anno_fw-la domi._n 1651_o 2._o on_o monday_n march_v 15._o in_o the_o morning_n i_o observe_v with_o dr_n twysden_n that_o the_o moon_n be_v eclipse_v about_o one_o digit_fw-la when_o alkair_o be_v in_o azimuth_n 79._o 40._o minute_n from_o the_o south_n eastward_o more_o we_o can_v not_o see_v for_o cloud_n 7._o at_o ecton_n anno_fw-la dom._n 1652._o on_o monday_n march_v 29._o before_o noon_n i_o observe_v the_o great_a eclipse_n of_o the_o sun_n by_o a_o telescope_n and_o a_o minute-watch_n rectify_v by_o the_o azimuth_n of_o the_o sun_n take_v both_o before_o and_o
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deg_fw-la 125_o degr_n 110._o pen._n by_o oblique_a problem_n by_o probl_n 2_o obliqu_n 111._o 25._o in_o 39_o ½_n in_o all_o 39_o ½_n 114._o 17._o agree_v set_v agree_v set_v 11._o house_n also_o house_n also_o 31._o 49_o 30_o 50_o 51._o 118._o 6_o 7._o 49_o 50_o 50_o 51._o 24._o and_o so_o and_o to_o 119._o 1_o astrologer_n astrology_n 17._o futurus_fw-la futurus_fw-la 122._o 29._o no_o man_n no_o man_n 123._o 3._o princeps_fw-la nero_n princeps_fw-la nero_n 4._o citherae_fw-la citharae_fw-la 10._o dereliquit_fw-la nero_n dereliquit_fw-la nero_n 12._o persuesum_fw-la persuasum_fw-la 27._o se_z nore_z temerè_fw-la 128._o 26._o as_o by_o and_o by_o 29._o set_v go_v set_v therefore_o 130._o 34._o jupiter_n in_o that_o meridian_n jupiter_n in_o that_o meridian_n 139._o 6._o christ_n time_n christ_n time_n 17._o ticius_n tacitus_n 141._o 6._o 4_o 5._o 11._o 4._o 5_o 11._o 145._o 13._o sun_n dial_n sun_n dial_n 147._o 5._o or_o equinoctial_a deleatur_fw-la 19_o so_o the_o hour_n line_n 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