equinoctial_a colour_n that_o which_o pass_v by_o the_o pole_n of_o the_o world_n and_o the_o solstitial_a point_n be_v call_v the_o solstitial_a or_o tropical_a colour_n the_o portion_n thereof_o lie_v between_o the_o two_o tropicke_n be_v the_o distance_n of_o the_o tropicke_n who_o half_a be_v the_o sun_n great_a declination_n otherwise_o call_v the_o obliquity_n of_o the_o zodiac_n which_o by_o observation_n make_v with_o large_a instrument_n be_v in_o this_o our_o age_n find_v by_o great_a artesman_n to_o be_v 23._o degree_n and_o 30._o minute_n who_o report_n it_o shall_v be_v sufficient_a to_o accept_v of_o and_o commit_v to_o memory_n without_o take_v or_o try_v it_o by_o any_o small_a instrument_n though_o some_o writer_n of_o the_o use_n of_o the_o astrolabe_n have_v make_v that_o one_o of_o their_o special_a conclusion_n the_o equinoctial_a and_o the_o ecliptic_a be_v circle_n of_o chief_a account_n the_o first_o be_v the_o rule_n and_o measure_n of_o the_o first_o motion_n or_o the_o motion_n of_o primum_fw-la mobile_a otherwise_o call_v the_o diurnal_a revolution_n and_o the_o other_o as_o it_o be_v the_o standard_n whereby_o all_o secondary_a motion_n be_v examine_v therefore_o the_o degree_n of_o these_o circle_n have_v peculiar_a name_n call_v in_o the_o equinoctial_a tempora_fw-la time_n because_o they_o be_v the_o first_o measure_n of_o time_n every_o 15._o degree_n ascend_v make_v a_o hour_n and_o so_o the_o whole_a revolution_n of_o 360._o which_o be_v perform_v every_o natural_a day_n make_v 24._o hour_n astronomer_n begin_v to_o account_v the_o part_n or_o degree_n as_o well_o in_o the_o equinoctial_a as_o in_o the_o ecliptic_a from_o that_o point_n common_a to_o they_o both_o which_o be_v call_v the_o vernal_a section_n and_o though_o in_o the_o equinoctial_a there_o be_v no_o change_n of_o name_n yet_o in_o the_o ecliptic_a or_o zodiac_n every_o thirty_o degree_n be_v call_v a_o sign_n and_o have_v a_o peculiar_a name_n the_o first_o 30._o immedtat_o follow_v the_o vernal_a section_n be_v call_v aries_n the_o next_o 30._o taurus_n the_o three_o 30._o gemini_fw-la the_o four_o 30._o who_o first_o point_n begin_v a_o new_a quadrant_a and_o touch_v the_o summer_n tropic_n be_v term_v cancer_n the_o five_o 30._o leo_n the_o sixth_o virgo_fw-la these_o six_o sign_n make_v up_o the_o semicircle_n of_o the_o zodiac_n which_o lean_v or_o decline_v from_o the_o equinoctial_a towards_o the_o north_n pole_n the_o first_o 30._o after_o this_o semicircle_n begin_v at_o the_o autumnal_a section_n make_v the_o seven_o sign_n name_v libra_n the_o next_o or_o eight_o 30._o be_v the_o sign_n scorpio_n the_o nine_o 30._o be_v sagittarius_fw-la the_o ten_o 30._o beginning_n a_o new_a quadrant_a with_o the_o first_o point_n which_o touch_v the_o winter_n tropic_n be_v capricornus_fw-la the_o eleven_o 30._o be_v aquarius_n and_o the_o twelve_o 30._o be_v pisces_fw-la there_o be_v character_n use_v to_o express_v every_o sign_n with_o which_o be_v find_v in_o every_o almanac_n the_o sun_n pass_v in_o the_o ecliptic_a from_o point_n to_o point_n make_v his_o continual_a revolution_n in_o it_o without_o swerve_v to_o the_o one_o side_n or_o the_o other_o other_o star_n for_o the_o most_o part_n decline_v from_o it_o but_o yet_o have_v their_o place_n determine_v by_o longitude_n and_o latitude_n in_o respect_n thereof_o thus_o by_o any_o point_n or_o star_n a_o great_a circle_n be_v draw_v from_o the_o pole_n of_o the_o ecliptic_a to_o his_o circumference_n the_o section_n there_o make_v or_o the_o portion_n of_o the_o ecliptic_a between_o that_o section_n and_o the_o vernal_a section_n be_v the_o longitude_n of_o the_o point_n or_o star_n by_o which_o the_o great_a circle_n be_v draw_v his_o latitude_n be_v that_o portion_n of_o the_o same_o great_a circle_n lie_v between_o the_o star_n and_o the_o ecliptic_a the_o sun_n be_v in_o any_o point_n of_o the_o ecliptic_a and_o the_o point_n itself_o with_o all_o other_o star_n wheresoever_o place_v beside_o be_v in_o like_a manner_n compare_v to_o the_o equinoctial_a and_o in_o respect_n thereof_o not_o only_o their_o declination_n which_o have_v be_v touch_v before_o but_o also_o their_o right_a ascension_n be_v consider_v a_o great_a circle_n be_v draw_v from_o the_o pole_n of_o the_o world_n to_o the_o equinoctial_a by_o any_o point_n or_o star_n his_o right_a ascension_n be_v that_o portion_n of_o the_o equinoctial_a take_v between_o that_o point_n where_o the_o great_a circle_n cut_v and_o the_o vernal_a section_n the_o declination_n be_v the_o portion_n of_o the_o great_a circle_n so_o draw_v which_o lie_v between_o the_o equinoctial_a and_o the_o star_n which_o as_o before_o be_v note_v be_v also_o determine_v by_o a_o parallel_n to_o the_o equinoctial_a pass_v by_o the_o star_n the_o right_a ascension_n be_v so_o call_v because_o under_o the_o equinoctial_a that_o be_v in_o a_o situation_n where_o the_o equinoctial_a pass_v by_o the_o zenith_n and_o the_o horizon_n by_o the_o pole_n of_o the_o world_n the_o horizon_n by_o which_o once_o in_o 24._o hour_n every_o point_n ascend_v do_v the_o office_n of_o any_o great_a circle_n so_o draw_v as_o be_v appoint_v and_o agree_v with_o it_o most_o exact_o this_o situation_n be_v call_v sphaera_fw-la recta_fw-la the_o right_a sphere_n and_o the_o horizon_n in_o that_o situation_n horizon_n rectus_fw-la the_o right_a horizon_n but_o when_o the_o equinoctial_a decline_v from_o the_o zenith_n and_o the_o pole_n be_v one_o above_o the_o other_o beneath_o the_o horizon_n that_o situation_n be_v call_v the_o oblique_a or_o decline_a sphere_n and_o the_o horizon_n the_o oblique_a horizon_n which_o never_o agree_v with_o the_o foresay_a great_a circle_n draw_v by_o the_o pole_n of_o the_o world_n and_o therefore_o with_o the_o star_n there_o be_v another_o point_n of_o the_o equinoctial_a in_o the_o horizon_n between_o which_o and_o the_o vernal_a section_n be_v contain_v that_o portion_n of_o the_o equinoctial_a that_o be_v call_v the_o star_n oblique_a ascension_n and_o the_o portion_n of_o the_o equinoctial_a between_o the_o end_n of_o the_o right_n and_o oblique_a ascension_n be_v call_v the_o difference_n ascensionall_n but_o for_o help_v the_o conceit_n of_o these_o thing_n i_o will_v use_v a_o linearie_a example_n take_v the_o former_a figure_n where_o e_z c_z be_v the_o meridian_n line_n and_o the_o diameter_n on_o which_o the_o horizon_n stand_v now_o in_o the_o midst_n of_o winter_n the_o sun_n be_v low_a in_o the_o meridian_n in_o the_o point_n k_o by_o the_o diurnal_a revolution_n describe_v a_o parallel_n stand_v upon_o the_o diameter_n k_o m_o which_o cut_v the_o horizon_n from_o the_o east_n towards_o the_o south_n it_o continual_o grow_v high_a and_o high_o in_o the_o meridian_n pan_n &_o rise_v in_o the_o horizon_n near_o and_o near_o the_o east_n till_o about_o the_o 11._o of_o march_n at_o noon_n it_o come_v to_o g_o the_o section_n of_o the_o equinoctial_a and_o the_o meridian_n and_o then_o by_o the_o diurnal_a revolution_n describe_v a_o circle_n just_a answer_v the_o equinoctial_a which_o pass_v by_o the_o point_n of_o east_n and_o west_n in_o the_o horizon_n stand_v upon_o the_o diameter_n g_o f_o from_o thence_o aâ—_n summer_n come_v on_o it_o ascend_v in_o the_o meridian_n and_o rise_v more_o northerly_a upon_o the_o horizon_n till_o about_o the_o 12._o of_o our_o june_n be_v at_o the_o high_a in_o n_n it_o describe_v a_o parallel_n stand_v upon_o the_o diameter_n n_o z_o in_o which_o it_o rise_v upon_o the_o horizon_n further_a from_o the_o east_n to_o the_o northward_o from_o thence_o it_o descend_v again_o by_o g_z to_o k_o and_o pass_v in_o the_o horizon_n by_o the_o true_a east_n to_o the_o further_a southward_n than_o it_o ascend_v again_o till_o it_o come_v to_o n_n continual_o return_v from_o the_o high_a to_o the_o low_a &_o from_o the_o low_a to_o the_o high_a whereof_o the_o two_o parallel_n stand_v upon_o the_o diameter_n k_o m_o l_o n_o be_v call_v tropicke_n by_o these_o change_v it_o be_v easy_o gather_v that_o the_o sun_n beside_o the_o diurnal_a revolution_n make_v another_o proper_a to_o itself_o in_o a_o circle_n stand_v upon_o the_o diameter_n k_o l_o draw_fw-mi from_o tropic_n to_o tropic_n by_o a_o the_o centre_n of_o the_o sphere_n by_o reason_n whereof_o this_o circle_n call_v the_o ecliptic_a and_o the_o equinoctial_a divide_v the_o one_o the_o other_o into_o two_o semicircle_n the_o ecliptic_a be_v sometime_o call_v the_o zodiac_n though_o proper_o the_o zodiac_n be_v a_o superficies_n lie_v on_o either_o side_n of_o it_o as_o you_o see_v the_o superficies_n o_o p_o q_o r_o part_v by_o the_o line_n z_o k._n the_o common_a diameter_n of_o the_o equinoctial_a and_o the_o ecliptic_a stand_n in_o a_o perpendicular_a to_o the_o plain_a of_o the_o circle_n b_o c_o d_o e_o
in_o p_o make_v o_o k_o equal_a to_o the_o distance_n r_o p_o and_o lay_v a_o ruler_n on_o a_o and_o k_n it_o will_v cut_v the_o limb_n in_o l_o the_o circumference_n b_o l_o be_v the_o height_n of_o the_o pole_n the_o 40._o conclusion_n by_o two_o know_a star_n whereof_o the_o one_o be_v in_o the_o meridian_n the_o other_o in_o the_o horizon_n to_o know_v the_o height_n of_o the_o pole_n or_o latitude_n let_v the_o declination_n of_o that_o which_o be_v in_o the_o horizon_n be_v equal_a to_o either_o of_o the_o circumference_n e_o f_o c_o g_o draw_v the_o line_n g_o f_o cut_v the_o axis_n a_o b_o in_o o_o and_o let_v r_o p_o at_fw-fr be_v the_o synicall_a arch_n of_o the_o line_n gf_n and_o let_v the_o right_a ascension_n of_o that_o which_o be_v in_o the_o meridian_n be_v distant_a from_o the_o near_a equinoctial_a section_n so_o much_o as_o q_o be_v from_o e_z now_o lay_v a_o ruler_n on_o a_o and_o q_n it_o will_v cut_v r_o p_o a_o the_o synicall_a arch_n of_o the_o line_n f_o g_o in_o p_o make_v o_o k_o or_o on_o it_o skill_v not_o which_o equal_a to_o r_o p_o a_o ruler_n lay_v on_o k_o and_o a_o will_v cut_v the_o limb_n in_o l_o the_o circumference_n b_o l_o be_v the_o height_n of_o the_o pole_n the_o 41._o conclusion_n in_o a_o country_n of_o know_a latitude_n the_o height_n and_o declination_n of_o the_o sun_n be_v give_v to_o know_v the_o hour_n of_o the_o day_n or_o what_o it_o be_v a_o clock_n let_v the_o circumference_n e_o f_o c_o g_o be_v equal_a to_o the_o declination_n of_o the_o sun_n and_o b_o l_o and_o d_o t_o the_o height_n of_o the_o pole_n make_v either_o of_o the_o circumference_n l_o s_n t_o h_n equal_a to_o the_o height_n give_v a_o ruler_n lay_v on_o s_n and_o h_n will_v cut_v f_o g_o in_o five_o in_o r_z p_o a_o the_o synicall_a arch_n of_o f_o g_o apply_v from_o r_n to_o w_n a_o distance_n equal_a to_o o_o v._o a_o ruler_n lay_v on_o a_o and_o w_n will_v cut_v the_o limb_n in_o x._o before_o noon_n the_o observation_n be_v take_v and_o if_o the_o axis_n of_o the_o world_n fall_v between_o five_o and_o the_o horizon_n then_o in_o the_o quadrant_a c_o d_o taking_z from_z c_o a_o circumference_n equal_a to_o ex_fw-la you_o shall_v have_v the_o hour_n point_v forth_o but_o if_o v._o fall_n between_o the_o axis_n and_o the_o horizon_n then_o take_v in_o the_o quadrant_n b_o c_o from_o c_o a_o circumference_n equal_a to_o e_o x_o and_o the_o hour_n shall_v be_v point_a out_o the_o observation_n be_v take_v after_o noon_n you_o must_v use_v the_o quadrant_n e_o d_o and_o e_o b_o in_o like_a manner_n a_o caution_n because_o when_o the_o sun_n draw_v near_o the_o meridian_n you_o can_v perfect_o discern_v whether_o it_o be_v before_o noon_n or_o after_o noon_n you_o must_v help_v that_o matter_n thus_o take_v two_o observation_n with_o some_o pretty_a distance_n between_o and_o if_o the_o last_o be_v great_a than_o the_o first_o thou_o be_v the_o first_o before_o noon_n but_o if_o the_o last_o be_v lesser_a than_o be_v the_o last_o after_o noon_n the_o 42._o conclusion_n in_o a_o country_n of_o know_a latitude_n the_o azimute_v and_o declination_n of_o the_o sun_n be_v give_v to_o find_v the_o hour_n of_o the_o day_n by_o the_o azimute_v and_o declination_n give_v you_o may_v by_o the_o 14._o conclusion_n find_v the_o height_n thereof_o that_o be_v have_v by_o it_o and_o the_o declination_n you_o shall_v by_o the_o former_a conclusion_n find_v the_o hour_n the_o 43._o conclusion_n in_o a_o country_n of_o know_a latitude_n the_o height_n and_o declination_n of_o any_o star_n be_v give_v to_o find_v the_o hour_n of_o the_o night_n let_v the_o circumference_n e_o f_o c_o g_o be_v equal_a to_o the_o declination_n of_o the_o star_n draw_v the_o line_n f_o g_o cut_v b_o at_fw-fr in_o o_o let_v either_o of_o the_o circumference_n l_o b_o d_o t_o bee_n the_o height_n of_o the_o pole_n and_o make_v the_o circumference_n l_o s_n t_o h_o equal_a to_o the_o height_n give_v on_o s_n and_o h_n lay_v a_o ruler_n it_o will_v cut_v f_o g_o in_o five_o in_o r_z w_o a_o apply_v from_o r_n to_o w_n a_o distance_n equal_a to_o o_o v_o and_o lay_v a_o ruler_n on_o with_o and_o a_o you_o shall_v cut_v the_o limb_n in_o x_o if_o the_o observation_n be_v take_v before_o the_o star_n come_v to_o the_o meridian_n which_o you_o shall_v know_v by_o the_o caution_n of_o the_o 41._o conclusion_n then_o take_v a_o circumference_n equal_a to_o ex_fw-la on_o the_o one_o or_o the_o other_o side_n of_o c_o according_a to_o the_o fall_n of_o the_o point_n v._o show_v in_o the_o 41._o conclusion_n and_o so_o shall_v you_o have_v the_o distance_n of_o the_o star_n from_o the_o meridian_n or_o the_o hour_n of_o the_o star_n which_o imagine_v you_o find_v to_o be_v point_a out_o by_o t_o from_o t_n towards_o the_o point_n e_o take_v a_o circumference_n teg_n equal_a to_o the_o star_n right_a ascension_n and_o from_o g_z towards_z b_o take_v a_o circumference_n g_o m_o equal_a to_o the_o sun_n right_a ascension_n a_o ruler_n lay_v on_o a_o and_o m_o in_o the_o hour_n circle_n point_v forth_o the_o hour_n the_o 44._o conclusion_n in_o a_o country_n of_o know_a latitude_n the_o azimute_v and_o declination_n of_o any_o star_n be_v give_v to_o know_v the_o hour_n of_o the_o night_n the_o azimute_v and_o declination_n be_v give_v you_o may_v by_o the_o fourtéenth_fw-mi conclusion_n find_v the_o height_n then_o by_o the_o height_n and_o declination_n by_o the_o former_a conclusion_n you_o may_v find_v the_o hour_n the_o 45._o conclusion_n any_o day_n of_o the_o year_n in_o a_o country_n of_o know_a latitude_n to_o find_v the_o beginning_n continuance_n and_o end_n of_o the_o crepusculum_fw-la that_o be_v the_o dawn_n in_o the_o morning_n and_o twilight_n in_o the_o evening_n let_v b_o l_o be_v the_o height_n of_o the_o pole_n and_o either_o of_o the_o circumference_n e_o f_o c_o g_o equal_a to_o the_o declination_n of_o the_o sun_n place_n for_o the_o day_n give_v draw_v the_o line_n f_o g_o upon_o a_o and_o l_o lay_v a_o ruler_n it_o will_v cut_v f_o g_o in_o k_o and_o the_o limb_n on_o the_o other_o side_n in_o t_o from_o l_o and_o t_o take_v under_o the_o horzon_fw-mi that_o be_v towards_o c_o and_o d_o the_o circumference_n l_o y_fw-fr t_o z_o of_o eyghtéene_a degree_n apéece_n upon_o z_o and_z y_z lay_v a_o ruler_n it_o will_v cut_v f_o g_o in_o 2_o in_o r_n p_o a_o the_o synicall_a arch_n of_o f_o g_o apply_v from_o r_n to_o p_o a_o distance_n equal_a to_o o_o k_o again_o from_o r_z to_z 4_o apply_v in_o r_o p_o a_o a_o distance_n equal_a to_o o_o 2_o now_o a_o ruler_n lay_v upon_o a_o and_o p_o will_v cut_v the_o limb_n in_o q_o but_o lay_v on_o a_o and_o 4_o will_v cut_v it_o in_o 6_o the_o circumference_n q_o 6_o in_o the_o hour_n circle_n will_v show_v the_o continuance_n of_o the_o crepusculum_fw-la this_o add_v to_o the_o sun_n rise_v which_o you_o be_v teach_v to_o know_v by_o the_o 38._o conclusion_n cor._n show_v when_o it_o begin_v in_o the_o morning_n and_o add_v to_o the_o time_n of_o his_o set_n show_v when_o it_o end_v in_o the_o evening_n i_o need_v not_o tell_v that_o it_o end_v in_o the_o morning_n with_o the_o rise_n of_o the_o sun_n and_o begin_v in_o the_o evening_n with_o his_o go_v down_o the_o 46._o conclusion_n in_o a_o country_n of_o know_a latitude_n any_o day_n in_o the_o year_n at_o any_o hour_n assign_v to_o know_v the_o height_n of_o the_o sun_n let_v b_o l_o be_v the_o height_n of_o the_o pole_n and_o the_o circumference_n e_o f_o c_o g_o equal_a to_o the_o sun_n declination_n for_o the_o day_n give_v and_o let_v e_o x_o be_v the_o hour_n distance_n from_o six_o on_o x_o and_o a_o lay_v a_o ruler_n it_o will_v cut_v r_o p_o a_o the_o synicall_a arch_n of_o the_o line_n g_o f_o in_o with_o with_o your_o compass_n take_v the_o distance_n r_o w_n and_o set_v one_o foot_n in_o o_o mark_v in_o the_o line_n f_o g_o a_o point_n towards_o g_o if_o in_o the_o morning_n it_o be_v before_o six_o or_o in_o the_o evening_n after_o six_o but_o if_o it_o be_v after_o six_o in_o the_o morning_n or_o before_o six_o in_o the_o evening_n then_o towards_o f_o as_o here_o it_o be_v suppose_v in_o the_o morning_n after_o six_o and_o therefore_o let_v it_o be_v v._o on_o a_o and_o v_n lay_v a_o ruler_n it_o will_v cut_v the_o limb_n in_o 5_o make_v the_o circumference_n t_o 7_o equal_a to_o l_o 5_o and_o draw_v the_o line_n 7_o a_o in_o it_o take_v
a_o line_n a_o 3_o equal_a to_o a_o v._o and_o lay_v a_o ruler_n on_o five_o 3_o it_o will_v cut_v the_o limb_n in_o s_n and_o h_n either_o of_o the_o circumference_n l_o s_n or_o t_o h_n be_v the_o height_n desire_v the_o 47._o conclusion_n in_o a_o country_n of_o know_a latitude_n for_o any_o day_n of_o the_o year_n to_o find_v in_o what_o azimute_v the_o sun_n be_v in_o by_o the_o former_a conclusion_n you_o learn_v how_o to_o find_v the_o height_n for_o the_o time_n assign_v in_o the_o 13_o conclusion_n be_v teach_v by_o the_o height_n and_o declination_n give_v in_o a_o country_n of_o know_a latitude_n to_o find_v the_o azimute_v and_o so_o by_o these_o two_o conclusion_n you_o may_v perform_v that_o which_o be_v here_o propound_v the_o 48._o conclusion_n in_o a_o country_n of_o know_a latitude_n any_o day_n of_o the_o year_n at_o any_o hour_n assign_v to_o know_v how_o far_o any_o determinate_a point_n be_v distant_a from_o the_o meridian_n let_v the_o hour_n assign_v be_v m_n and_o from_o m_n by_o b_o eastward_o take_v a_o circumference_n m_o b_o g_o equal_a to_o the_o sun_n right_a ascension_n for_o the_o time_n give_v again_o from_o g_z by_z e_z take_v a_o circumference_n g_o e_o t_o equal_a to_o the_o right_a ascension_n of_o the_o point_n or_o star_n give_v the_o circumference_n t_o d_o be_v the_o distance_n thereof_o from_o the_o meridian_n which_o you_o desire_v the_o 49._o conclusion_n in_o a_o country_n of_o know_a latitude_n at_o any_o hour_n assign_v any_o day_n of_o the_o year_n to_o know_v the_o height_n of_o any_o know_a star_n take_v the_o distance_n of_o the_o point_n or_o star_n at_o the_o time_n give_v from_o the_o meridian_n and_o so_o consequent_o from_o the_o hour_n of_o six_o which_o let_v be_v e_o x_o and_o let_v e_o f_o c_o g_o be_v equal_a to_o the_o star_n declination_n draw_v the_o line_n f_o g_o cut_v a_o b_o in_o o_o then_o upon_o a_o and_o x_o lay_v a_o ruler_n it_o will_v cut_v r_o w_n a_o the_o synicall_a arch_n of_o f_o g_o in_o with_o with_o your_o compass_n take_v the_o distance_n r_o w_n and_o in_o the_o line_n f_o g_o from_o o_o towards_o g_z if_o the_o distance_n from_o the_o meridian_n be_v more_o than_o six_o hour_n but_o if_o less_o than_o six_o hour_n as_o here_o it_o be_v suppose_v then_o towards_o f_o take_v five_o o_o equal_a to_o r_o w_n then_o lay_v a_o ruler_n on_o a_o and_o v_n it_o will_v cut_v the_o limb_n in_o 5_o make_v the_o circumference_n t_o 7_o equal_a to_o l_o 5_o and_o draw_v the_o line_n 7_o a_o therein_o take_v a_o 3_o equal_a to_o the_o distance_n a_o v_n and_o lay_v a_o ruler_n on_o five_o and_o b_o it_o will_v cut_v the_o limb_n in_o the_o point_v f_o and_o g_o either_o of_o the_o circumference_n e_o f_o c_o g_o be_v equal_a to_o the_o height_n you_o desire_v the_o 50._o conclusion_n in_o a_o country_n of_o know_a latitude_n at_o any_o hour_n assign_v any_o day_n of_o the_o year_n to_o know_v the_o azimute_v of_o any_o know_a star_n by_o the_o former_a conclusion_n you_o know_fw-mi how_o to_o find_v the_o height_n for_o the_o time_n assign_v and_o by_o the_o height_n and_o declination_n the_o 13._o conclusion_n will_v teach_v you_o to_o find_v the_o azimute_v as_o you_o desire_v the_o 51._o conclusion_n in_o a_o country_n of_o know_a latitude_n to_o find_v the_o difference_n ascensional_n or_o the_o difference_n of_o the_o right_n and_o oblique_a ascension_n of_o any_o point_n of_o the_o ecliptic_a or_o any_o know_a star_n let_v e_o w_n be_v the_o height_n of_o the_o pole_n and_o let_v either_o of_o the_o circumference_n w_n ay_o and_o w_n h_n be_v equal_a to_o the_o complement_n of_o the_o declination_n give_v draw_v the_o line_n he_o cut_v the_o horizon_n e_o c_o in_o y_z and_o the_o axis_n of_o the_o world_n a_o w_n in_o 4_o let_v 6_o z_o at_fw-fr be_v the_o synicall_a arch_n for_o the_o line_n h_n i_o and_o therein_o from_o 6_o to_o z_o apply_v a_o distance_n equal_a to_o 4_o in_n upon_o a_o and_o z_o lay_v a_o ruler_n it_o will_v cut_v the_o limb_n in_o 5_o the_o circumference_n e_o 5_o be_v the_o difference_n ascensionall_n which_o you_o require_v the_o 52._o conclusion_n in_o a_o country_n of_o know_a latitude_n to_o find_v the_o oblique_a ascension_n of_o any_o point_n of_o the_o ecliptic_a or_o any_o know_a star_n let_v the_o right_a ascension_n of_o the_o point_n take_v by_o the_o 20._o conclusion_n be_v the_o circumference_n e_o b_o g_o account_v from_o e_o the_o beginning_n of_o aries_n and_o the_o difference_n ascensionall_a of_o the_o point_n who_o line_n of_o declination_n be_v h_n i_o let_v be_v e_z 5_o now_o if_o h_n i_o be_v between_o the_o apparent_a pole_n and_o the_o equinoctial_a take_v from_o g_z towards_z e_z a_o circumference_n g_o 1_o equal_a to_o e_z 5_o and_z e_z b_o 1_o shall_v be_v the_o oblique_a ascension_n but_o if_o h_n i_o be_v between_o the_o equinoctial_a and_o the_o hide_a pole_n then_z from_z g_z towards_z c_z take_v the_o circumference_n g_o 3_o equal_a to_o e_z 5_o and_o then_o shall_v e_z g_z 3_o be_v the_o oblique_a ascension_n seek_v for_o a_o corollary_n if_o you_o add_v a_o semicircle_n to_o the_o oblique_a ascension_n find_v that_o be_v if_o you_o lay_v a_o ruler_n on_o 1_o or_o 3_o and_o a_o it_o will_v in_o the_o opposite_a quadrant_a e_o d_o point_n out_o the_o oblique_a descension_n of_o the_o point_n that_o be_v opposite_a to_o the_o point_n who_o oblique_a ascension_n you_o look_v another_o corollary_n you_o may_v also_o find_v the_o oblique_a descension_n of_o any_o point_n by_o this_o conclusion_n if_o you_o add_v when_o here_o you_o be_v appoint_v to_o subtract_v and_o subtract_v when_o you_o be_v appoint_v to_o add_v the_o 53._o conclusion_n the_o oblique_a ascension_n of_o any_o point_n of_o the_o ecliptic_a or_o any_o know_a star_n be_v give_v to_o find_v the_o latitude_n let_v w_n be_v the_o pole_n of_o the_o world_n w_n i_o and_o with_o h_n the_o compliment_n of_o the_o point_n declination_n draw_v the_o line_n h_n i_o cut_v a_o with_o the_o axis_n of_o the_o world_n in_o 4_o and_o let_v the_o difference_n ascensionall_n which_o you_o may_v know_v by_o compare_v of_o the_o right_n and_o oblique_a ascension_n be_v e_z 5_o a_o ruler_n lay_v on_o the_o centre_n a_o and_z 5_o will_v cut_v 6_o z_o a_o the_o synicall_a arch_n of_o the_o line_n h_n i_o in_o z_o in_o the_o line_n h_o 4_o take_z y_z 4_o equal_a to_o the_o distance_n 6_o z_o then_o lay_v a_o ruler_n upon_o a_o and_o y_fw-fr it_o will_v cut_v the_o limb_n in_o e_o the_o circumference_n e_o w_n be_v the_o height_n of_o the_o pole_n or_o the_o latitude_n seek_v for_o the_o 54._o conclusion_n in_o a_o country_n of_o know_a latitude_n any_o day_n assign_v to_o know_v what_o point_n of_o the_o ecliptic_a be_v in_o the_o meridian_n in_o the_o morning_n take_v the_o oblique_a ascension_n for_o that_o point_n of_o the_o ecliptic_a wherein_o the_o sun_n be_v that_o day_n which_o be_v assign_v as_o for_o example_n the_o point_n v_n then_o open_v your_o compass_n to_o the_o distance_n b_o c_o set_v one_o foot_n in_o five_o and_o with_o the_o other_o from_o the_o west_n towards_o the_o east_n or_o according_a to_o the_o succession_n of_o the_o degree_n or_o time_n of_o the_o equinoctial_a mark_n in_o the_o limb_n t_o that_o point_n be_v the_o point_n of_o the_o equinoctial_a which_o be_v in_o the_o meridian_n now_o if_o by_o the_o 22._o conclusion_n you_o take_v the_o point_n answerable_a to_o that_o right_a ascension_n in_o the_o ecliptic_a it_o shall_v be_v the_o same_o that_o be_v in_o the_o meridian_n the_o 55._o conclusion_n in_o a_o country_n of_o know_a latitude_n any_o day_n of_o the_o year_n at_o any_o hour_n assign_v to_o find_v what_o point_n of_o the_o ecliptic_a be_v in_o the_o meridian_n let_v the_o right_a ascension_n answer_v the_o degree_n of_o the_o ecliptic_a which_o serve_v the_o day_n give_v be_v e_o b_o v_o account_v from_o e_o the_o beginning_n of_o aries_n now_o take_v the_o hour_n distance_n of_o the_o sun_n from_o the_o meridian_n which_o let_v be_v b_o w_n if_o the_o sun_n be_v not_o yet_o come_v to_o the_o meridian_n from_o five_o towards_o c_o or_o from_o west_n towards_o east_n according_a to_o the_o succession_n of_o the_o degree_n of_o the_o equinoctial_a take_v a_o circumference_n five_o 7_o equal_a to_o b_o w_n 7_o show_v the_o point_n of_o the_o equinoctial_a that_o be_v in_o the_o meridian_n the_o place_n of_o the_o zodiac_n answerable_a to_o the_o right_a ascension_n be_v also_o in_o the_o meridian_n with_o it_o but_o if_o the_o sun_n be_v past_o the_o meridian_n you_o
my_o finger_n scorpio_n fall_v on_o my_o little_a finger_n so_o i_o say_v that_o the_o sun_n enter_v scorpio_n in_o october_n then_o take_v the_o verse_n and_o set_v the_o word_n one_o by_o one_o in_o like_a manner_n on_o my_o finger_n i_o find_v in_o the_o second_o go_v over_o faustos_fw-la on_o my_o little_a finger_n now_o tell_v in_o the_o cross_a row_n the_o letter_n from_o a_o to_o f_o i_o find_v six_o this_o six_o i_o subtract_v from_o 20._o so_o rest_n 14._o which_o the_o day_n of_o october_n the_o sun_n enter_v scorpio_n parergon_fw-la secundum_fw-la to_o know_v the_o sun_n place_n in_o the_o zodiac_n upon_o any_o day_n give_v find_v the_o sign_n answer_v your_o month_n and_o the_o word_n likewise_o then_o to_o the_o day_n of_o the_o month_n put_v ten_o and_o the_o number_n the_o first_o letter_n show_v in_o the_o cross_a row_n if_o this_o be_v less_o than_o 30._o the_o number_n be_v the_o degree_n of_o the_o sign_n next_o before_o that_o which_o the_o sun_n enter_v in_o your_o month_n if_o more_o cast_v away_o 30._o and_o the_o residue_n be_v the_o degree_n of_o the_o sign_n enter_v in_o your_o month_n example_n i_o will_v know_v where_o the_o sun_n be_v the_o 9_o of_o october_n i_o find_v in_o october_n he_o enter_v scorpio_n and_o the_o word_n for_o it_o to_o be_v faustos_fw-la who_o first_o letter_n f_o be_v the_o sixth_o in_o the_o cross_a row_n i_o take_v ten_o and_o 6._o uz._n 16._o which_o i_o put_v to_o 9_o there_o be_v make_v 25._o therefore_o i_o say_v the_o sun_n be_v in_o the_o 25._o degree_n of_o the_o sign_n before_o scorpio_n which_o be_v libra_n if_o i_o will_v know_v for_o the_o 18._o day_n put_v 16._o to_o 18._o there_o will_v amount_v 34._o from_o which_o abate_v 30._o the_o 4._o remain_v show_v i_o that_o the_o sun_n be_v in_o the_o 4._o degree_n of_o the_o sign_n belong_v to_o october_n which_o be_v scorpio_n parergon_fw-la tertium_fw-la the_o place_n of_o the_o sun_n be_v give_v to_o find_v the_o day_n of_o the_o month_n take_v the_o day_n and_o month_n the_o sun_n enter_v the_o sign_n give_v the_o number_n of_o the_o degree_n give_v put_v to_o the_o day_n wherein_o the_o sun_n enter_v the_o sign_n that_o product_v be_v less_o than_o the_o day_n in_o your_o month_n show_v the_o day_n but_o be_v more_o cast_v away_o the_o day_n of_o your_o month_n the_o residue_n be_v the_o day_n of_o the_o month_n follow_v example_n i_o find_v the_o sun_n in_o the_o 4._o degree_n of_o scorpio_n i_o will_v know_v what_o day_n of_o the_o month_n it_o be_v i_o find_v that_o the_o sun_n enter_v scorpio_n the_o 14._o of_o october_n i_o put_v 4._o to_o 14._o there_o amount_v 18._o so_o i_o say_v it_o be_v the_o 18._o day_n of_o october_n again_o let_v it_o be_v in_o the_o 25._o of_o libra_n i_o find_v that_o the_o sun_n enter_v libra_n 13._o septembris_fw-la i_o put_v 13._o to_o 25._o there_o amount_v 38._o from_o which_o i_o take_v 30._o the_o day_n of_o september_n and_o there_o remain_v 8._o the_o day_n of_o october_n these_o be_v but_o guess_v as_o you_o may_v see_v much_o after_o the_o way_n common_o teach_v by_o the_o back_n of_o the_o astrolabe_n let_v he_o that_o desire_v exactness_n seek_v the_o sun_n place_n in_o some_o ephemerides_n or_o in_o the_o regiment_n of_o the_o sun_n publish_v by_o e._n w._n painful_o calculate_v upon_o his_o own_o diligent_a and_o exact_a observation_n the_o end_n of_o the_o first_o section_n the_o second_o section_n of_o the_o new_a handle_v the_o planisphere_n show_v how_o the_o conclusion_n of_o the_o astrolabe_n may_v ready_o and_o exact_o for_o any_o country_n be_v perform_v only_o with_o ruler_n and_o compass_n although_o for_o work_v the_o conclusion_n follow_v any_o circle_n divide_v or_o to_o transfer_v out_o of_o any_o divide_a quadrant_a the_o give_v circumference_n will_v be_v sufficient_a yet_o for_o the_o easy_a dispatch_n i_o will_v a_o plate_n of_o latin_n to_o be_v provide_v according_a to_o the_o figure_n which_o you_o see_v on_o the_o other_o side_n there_o upon_o one_o centre_n a_o be_v six_o circle_n describe_v one_o within_o another_o of_o which_o the_o two_o outtermost_a contain_v the_o narrow_a space_n which_o must_v be_v divide_v into_o 360._o equal_a part_n or_o degree_n as_o the_o common_a manner_n be_v at_o every_o 30._o degree_n in_o the_o space_n contain_v under_o the_o second_o and_o three_o circle_n make_v divisious_a and_o beginning_n at_o e_o write_v ariosto_n or_o aries_n at_o the_o next_o tau_n or_o taurus_n and_o so_o for_o the_o rest_n of_o the_o 12._o sign_n this_o circle_n shall_v be_v call_v the_o zodiac_n the_o three_o space_n contain_v under_o the_o three_o and_o four_o circle_n must_v be_v divide_v at_o every_o 15._o degree_n beginning_n at_o b_o you_o must_v set_v down_o 12._o at_o the_o next_o division_n towards_o c_o set_v down_o 1._o at_o the_o next_o 2._o and_o at_o every_o division_n the_o number_n in_o order_n till_o come_v to_o d_o you_o be_v to_o set_v down_o 12._o again_o and_o so_o in_o the_o other_o semicircle_n deb_n set_v 1._o at_o the_o division_n next_z d_o at_o the_o second_o 2._o till_o come_v to_o the_o next_o before_o b_o you_o be_v to_o set_v down_o 11_o this_o four_o circle_n shall_v be_v call_v the_o hour_n circle_n the_o four_o space_n contain_v under_o the_o four_o and_o five_o circle_n must_v be_v divide_v at_o every_o 10._o degree_n at_o the_o first_o division_n from_o e_z towards_z b_o set_z 10._o at_o the_o second_o 20._o and_o so_o increase_a continual_o at_o every_o division_n by_o 10._o till_o you_o come_v again_o to_o e_z where_o you_o be_v to_o set_v down_o 360._o this_o circle_n shall_v be_v name_v the_o equinoctial_a the_o space_n contain_v under_o this_o and_o the_o sixth_o or_o innermost_a circle_n must_v from_o e_z by_z d_o unto_o c_o have_v division_n at_o every_o 20._o degree_n and_o at_o every_o division_n a_o number_n set_v increase_a by_o 10._o till_o you_o come_v to_o 90_o in_o the_o quarter_n b_o c_o b_o e_o you_o must_v make_v division_n at_o every_o 10._o degree_n at_o the_o first_o from_z b_o towards_z e_z set_z 10_o and_o likewise_o at_o the_o next_o unto_o c_o towards_o b_o at_o the_o next_o 20._o and_o so_o in_o order_n till_o come_v to_o e_z and_o b_o you_o be_v there_o to_o set_v 90_o this_o inner_a circle_n shall_v be_v call_v the_o limb_n if_o you_o will_v set_v two_o sight_n on_o the_o outter_n edge_n so_o that_o the_o line_n draw_v from_o lope_fw-mi to_o lope_fw-mi be_v parallel_n to_o the_o line_n subtend_v the_o arch_n b_o c_o and_o hang_v a_o plummet_n from_o b_o you_o may_v by_o your_o plate_n begin_v the_o first_o conclusion_n to_o take_v the_o height_n of_o the_o sun_n or_o any_o star_n above_o the_o horizon_n tvrn_v your_o plate_n towards_o the_o sun_n lift_v it_o up_o and_o down_o till_o his_o beam_n shine_v through_o both_o the_o lope_n of_o your_o sight_n or_o if_o it_o be_v a_o star_n till_o you_o see_v it_o through_o they_o the_o thread_n show_v in_o the_o semicircle_n e_o d_o c_o how_o many_o degree_n the_o sun_n or_o star_n be_v above_o the_o horizon_n the_o second_o conclusion_n to_o find_v the_o distance_n of_o the_o sun_n or_o any_o star_n azimute_v from_o any_o determinate_a point_n in_o the_o horizon_n let_v your_o plate_n be_v fix_v level_a with_o the_o horizon_n and_o direct_v e_o to_o any_o point_n then_o a_o ruler_n be_v turn_v and_o lift_v up_o by_o a_o steel_n or_o wire_n standing_z plumbe_v upright_o from_o the_o centre_n a_o till_o you_o see_v the_o star_n by_o the_o edge_n of_o it_o or_o rather_o through_o two_o sight_n set_v upon_o the_o edge_n or_o if_o it_o be_v the_o sun_n till_o his_o beam_n pass_v through_o the_o lope_n then_o without_o stir_v the_o end_n next_o your_o eye_n bring_v it_o close_o to_o the_o centre_n the_o edge_n show_v in_o the_o equinoctial_a the_o distance_n of_o the_o azimute_v from_o the_o point_n respect_v by_o e._n the_o azimute_v be_v say_v simple_o without_o addition_n to_o be_v give_v when_o his_o distance_n from_o the_o meridian_n north_n end_n be_v give_v the_o three_o conclusion_n from_o a_o point_n give_v in_o the_o circumference_n of_o a_o circle_n at_o any_o side_n assign_v to_o apply_v or_o subtend_v a_o distance_n or_o a_o right_a line_n not_o great_a than_o the_o diameter_n let_v the_o point_n give_fw-mi be_v c_o from_o which_o upon_o the_o side_n towards_o d_o i_o be_o to_o apply_v a_o line_n equal_a to_o a_o q_o draw_v the_o diameter_n c_o a_o e_o now_o if_o the_o line_n a_o qui_fw-fr be_v equal_a to_o the_o diameter_n i_o have_v do_v that_o which_o be_v require_v but_o be_v less_o i_o take_v the_o
must_v take_v a_o circumference_n equal_a to_o b_o w_n contrary_a to_o the_o succession_n of_o the_o equinoctial_o degree_n as_o from_o five_o the_o circumference_n b_o v_n and_o then_o the_o point_n of_o the_o ecliptic_a which_o answer_v the_o right_a ascension_n b_o shall_v be_v in_o the_o meridian_n and_o the_o same_o be_v to_o be_v understand_v of_o the_o opposite_a point_n the_o 56._o conclusion_n in_o a_o country_n of_o know_a latitude_n any_o day_n of_o the_o year_n to_o know_v what_o time_n any_o point_n of_o the_o ecliptic_a or_o any_o know_a star_n rise_v or_o set_v take_v the_o oblique_a ascension_n of_o the_o point_n which_o let_v be_v e_o b_o g_o and_o the_o right_a ascension_n answer_v the_o point_n wherein_o the_o sun_n be_v the_o day_n give_v which_o let_v be_v e_o b_o t_o from_o the_o hour_n of_o the_o sun_n rise_v according_a to_o the_o succession_n of_o the_o hour_n circle_n take_v a_o circumference_n equal_a to_o g_o t_o and_o it_o shall_v point_v out_o the_o hour_n when_o the_o star_n come_v to_o the_o horizon_n the_o 57_o conclusion_n in_o a_o country_n of_o know_a latitude_n to_o know_v with_o what_o point_n of_o the_o ecliptic_a any_o know_a star_n come_v to_o the_o meridian_n take_v the_o right_a ascension_n of_o the_o star_n and_o then_o the_o point_n of_o the_o zodiac_n that_o be_v answerable_a thereunto_o and_o that_o shall_v be_v the_o point_n wherewith_o the_o star_n come_v to_o the_o meridian_n the_o 58._o conclusion_n the_o oblique_a ascension_n be_v give_v to_o know_v the_o situation_n of_o the_o equinoctial_a section_n in_o respect_n of_o the_o meridian_n let_v the_o oblique_a ascension_n give_v be_v e_z b_o 1_o with_o your_o compass_n take_v the_o distance_n b_o c_o and_o set_v one_o foot_n in_o 1_o with_o the_o other_o mark_v a_o point_n l_o which_o be_v the_o point_n of_o the_o equinoctial_a in_o the_o meridian_n now_o for_o as_o much_o as_o e_z be_v beyond_o the_o meridian_n it_o be_v in_o the_o west_n quarter_n above_o the_o horizon_n if_o it_o have_v fall_v between_o l_o and_z 1_o it_o shall_v have_v be_v in_o the_o east_n the_o opposite_a section_n be_v always_o in_o the_o opposite_a quadrant_n the_o 59_o conclusion_n in_o a_o country_n of_o know_a latitude_n to_o know_v the_o horizontall_a angle_n make_v by_o the_o section_n of_o the_o horizon_n and_o ecliptic_a in_o any_o point_n give_v take_v the_o oblique_a ascension_n of_o the_o point_n give_v and_o by_o it_o find_v the_o situation_n of_o the_o equinoctial_a section_n now_o if_o the_o section_n be_v on_o the_o east_n side_n of_o the_o meridian_n take_v the_o compliment_n of_o the_o oblique_a ascension_n and_o the_o point_n give_v as_o latitude_n the_o sun_n great_a declination_n be_v the_o difference_n of_o their_o longitude_n and_o by_o the_o 30._o conclusion_n seek_v the_o horizontall_a angle_n as_o the_o bear_n of_o the_o oblique_a ascension_n from_o the_o point_n of_o the_o ecliptic_a that_o be_v in_o the_o horizon_n and_o so_o have_v you_o the_o horizontall_a angle_n but_o if_o the_o equinoctial_a section_n be_v on_o the_o west_n side_n you_o must_v take_v the_o compliment_n to_o the_o opposite_a point_n of_o the_o ecliptic_a and_o oblique_a ascension_n and_o with_o they_o work_v by_o the_o conclusion_n as_o be_v aforesaid_a to_o the_o reader_n there_o remain_v for_o perfect_v this_o section_n almost_o 20._o conclusion_n more_o whereof_o many_o depend_v upon_o this_o problem_n viz._n in_o a_o country_n of_o know_a latitude_n any_o oblique_a ascension_n be_v give_v to_o find_v the_o point_n of_o the_o ecliptic_a coascend_v which_o yet_o i_o have_v not_o find_v how_o to_o perform_v general_o otherwise_o then_o by_o take_v such_o help_n of_o a_o eleipsis_n as_o be_v use_v in_o the_o fouretéenth_fw-mi conclusion_n in_o which_o manner_n of_o work_v the_o construction_n will_v very_o often_o exceed_v the_o compass_n of_o the_o limb_n for_o which_o and_o some_o other_o cause_v i_o omit_v it_o and_o the_o rest_n at_o this_o present_a notwithstanding_o if_o i_o perceive_v hereafter_o that_o those_o matter_n be_v much_o desire_v they_o shall_v be_v adjoin_v at_o the_o next_o impression_n the_o mean_a while_o i_o must_v entreat_v the_o reader_n to_o take_v thus_o much_o in_o good_a part_n the_o end_n of_o the_o second_o section_n the_o three_o section_n of_o the_o new_a handle_n of_o the_o planisphere_n which_o be_v a_o supplement_n organical_a chap._n 1._o to_o make_v a_o quadrant_n whereby_o you_o may_v readisie_v know_v what_o degree_n and_o minute_n be_v contain_v in_o any_o circumference_n give_v upon_o the_o centre_n a_o describe_v a_o quadrant_a a_o b_o c_o who_o limb_n you_o must_v divide_v as_o the_o common_a manner_n be_v into_o 90._o equal_a part_n or_o degree_n &_o every_o degree_n into_o half_n in_o the_o limb_n take_v the_o quantity_n of_o 30._o degree_n which_o let_v be_v c_o d_o and_o draw_v the_o line_n a_o d._n in_o either_o of_o the_o line_n a_o d_o or_o a_o c_o take_v some_o reasonable_a distance_n from_o the_o limb_n as_o a_o e_o or_o a_o f_o and_o upon_o the_o centre_n a_o at_o that_o distance_n describe_v the_o circumference_n f_o e_o then_o enlarge_n your_o compass_n a_o little_a describe_v another_o circumference_n as_o you_o see_v at_o f_o and_o e_o again_o open_v your_o compass_n somewhat_o large_a describe_v another_o circumference_n g_o h_n then_o extend_v or_o contract_v the_o distance_n of_o your_o compass_n describe_v a_o circumference_n near_o it_o as_o you_o see_v at_o g_o h._n in_o like_a manner_n describe_v two_o other_o circumference_n somewhat_o near_o together_o and_o distant_a from_o g_z h_n as_o you_o see_v at_o i_o k_o and_o so_o make_v between_o e_o c_o f_o d_o 30_o such_o list_n as_o you_o see_v at_o f_o e_o g_o h_n and_o i_o k._n then_o take_v a_o arch_n of_o 59_o degree_n which_o you_o must_v divide_v into_o 60_o equal_a part_n the_o sixty_o part_n of_o which_o division_n will_v divide_v two_o degree_n into_o two_o unequal_a part_n take_v the_o two_o degree_n next_z d_o and_o from_o that_o point_n towards_o d_o take_v a_o circumference_n equal_a to_o the_o great_a segment_n you_o make_v by_o divide_v 59_o degree_n in_o 60_o part_n and_o upon_o that_o point_n and_o the_o centre_n a_o lay_v a_o ruler_n where_o it_o cut_v the_o list_v next_o the_o limb_n as_o that_o beneath_o l_o m_o be_v draw_v a_o line_n divide_v the_o list_v beneath_o l_o m_n and_o from_o that_o division_n apply_v so_o many_o degree_n in_o order_n as_o the_o circumference_n will_v admit_v till_o you_o come_v so_o near_o 1_o as_o you_o can_v then_o take_v 58_o degree_n and_o divide_v that_o circumference_n into_o 60_o equal_a part_n the_o sixty_o part_n of_o this_o division_n fall_v between_o two_o degree_n devide_v they_o into_o two_o unequal_a part_n again_o take_v 2_o degree_n next_o d_o from_o that_o point_n towards_o d_o take_v the_o great_a portion_n and_o lay_v a_o ruler_n on_o that_o point_n and_o a_o where_o it_o cut_v the_o second_o list_v from_o the_o limb_n draw_v a_o line_n cut_v that_o list_v and_o from_o that_o division_n mark_v so_o many_o degree_n in_o that_o list_v as_o the_o residue_n of_o the_o circumference_n will_v receive_v then_o divide_v 57_o degree_n for_o the_o three_o list_v 56_o for_o the_o four_o list_v and_o so_o the_o degree_n in_o order_n till_o you_o come_v to_o thirty_o degree_n and_o the_o thirty_o list_n although_o if_o the_o limb_n be_v divide_v into_o half_a degree_n the_o thirty_o list_v &_o the_o division_n of_o thirty_o degree_n be_v needle_n have_v thus_o divide_v 30_o lyste_n in_o the_o space_n without_o the_o quadrant_a to_o the_o side_n a_o c_o draw_v two_o parallel_a line_n include_v two_o space_n &_o extend_v one_o circumference_n of_o every_o five_o list_v to_o the_o uttermost_a parallel_n in_o the_o space_n next_o the_o side_n of_o the_o quadrant_a a_o c_o at_o the_o list_v next_o the_o limb_n set_v one_o or_o 1._o at_o the_o next_o circumference_n extend_v from_o the_o five_o list_v set_v five_o or_o 5_o in_o the_o same_o space_n under_o that_o which_o be_v extend_v from_o the_o ten_o set_v 10_o and_o so_o increase_v by_o 5_o to_o thirty_o then_o descend_v in_o the_o second_o space_n at_o the_o five_o list_n set_v 35_o at_o the_o ten_o 40_o and_o so_o in_o order_n by_o 5_o to_o 60_o then_o may_v you_o thus_o use_v the_o quadrant_a to_o find_v what_o degree_n and_o minute_n be_v contain_v in_o any_o circumference_n give_v upon_o the_o centre_n a_o describe_v in_o the_o quadrant_a a_o b_o c_o a_o arch_n n_o p_o o_o have_v a_o n_n the_o semidiameter_n equal_a to_o the_o semidiameter_n of_o the_o circumference_n give_v &_o take_v from_o it_o so_o many_o degree_n that_o you_o have_v a_o remainder_n less_o than_o