90_o begin_v again_o with_o 10._o 20._o 30_o etc._n etc._n be_v for_o that_o the_o use_n of_o this_o meridian_n in_o reference_n to_o its_o division_n in_o degree_n require_v no_o more_o than_o that_o number_n 12._o the_o horizon_n be_v a_o great_a circle_n without_o the_o globe_n which_o divide_v the_o upper_a part_n of_o heaven_n from_o the_o low_a so_o that_o the_o one_o half_a be_v always_o above_o that_o circle_n and_o the_o other_o under_o it_o 13._o the_o pole_n of_o this_o circle_n be_v two_o the_o one_o direct_o over_o our_o head_n and_o be_v call_v the_o zenith_n the_o other_o be_v under_o foot_n and_o be_v call_v the_o nadir_n 14._o the_o horizon_n be_v either_o rational_a or_o sensible_a 15._o the_o rational_a horizon_n be_v that_o which_o divide_v the_o heaven_n and_o the_o earth_n into_o two_o equal_a part_n which_o though_o it_o can_v be_v perceive_v and_o distinguish_v by_o the_o eye_n yet_o may_v be_v conceive_v iâ—_n our_o mind_n in_o which_o respect_n all_o the_o star_n may_v be_v conceive_v to_o rise_v and_o set_v as_o in_o our_o view_n 16._o the_o visible_a horizon_n be_v that_o circle_n which_o the_o eye_n do_v make_v at_o its_o far_a extent_n of_o sight_n when_o the_o body_n in_o any_o particular_a place_n do_v turn_v itself_o round_o of_o these_o two_o circle_n there_o need_v no_o more_o to_o be_v say_v at_o present_a only_o we_o may_v observe_v that_o it_o be_v ingenious_o devise_v by_o those_o who_o first_o think_v upon_o it_o to_o set_v one_o meridian_n and_o one_o horizon_n without_o the_o globe_n to_o avoid_v the_o confusion_n if_o not_o the_o impossibility_n of_o draw_v a_o several_a meridian_n and_o a_o several_a horizon_n for_o every_o place_n which_o must_v have_v be_v do_v if_o this_o or_o the_o like_a device_n have_v not_o be_v think_v upon_o 17._o beside_o these_o two_o great_a circle_n without_o the_o globe_n there_o be_v 4_o other_o great_a circle_n draw_v upon_o the_o globe_n itself_o beside_o the_o meridian_n 1._o the_o aequator_fw-la or_o equinoctial_a circle_n 2._o the_o zodiac_n 3._o the_o aequinoctial_a colour_n 4._o solstitial_a colour_n and_o these_o four_o circle_n be_v immutable_a that_o be_v in_o whatsoever_o part_n of_o the_o world_n you_o be_v these_o circle_n have_v no_o variation_n as_o the_o other_o two_o have_v 18._o the_o aequator_fw-la be_v a_o great_a circle_n draw_v upon_o the_o globe_n in_o the_o middle_n between_o the_o two_o pole_n and_o plain_o divide_v the_o globe_n into_o two_o equal_a part_n 19_o the_o aequator_fw-la be_v the_o measure_n of_o the_o motion_n of_o the_o primum_fw-la mobile_n for_o 15_o degree_n of_o this_o circle_n do_v always_o arise_v in_o a_o hour_n time_n the_o which_o do_v clear_o show_v that_o the_o whole_a heaven_n be_v turn_v round_o by_o equal_a interval_n in_o the_o space_n of_o one_o day_n or_o 24_o hour_n 20._o in_o this_o circle_n the_o declination_n of_o the_o star_n be_v compute_v from_o the_o mid-heaven_n towards_o the_o north_n or_o south_n 21._o this_o circle_n give_v denomination_n to_o the_o aequinox_n for_o the_o sun_n do_v twice_o in_o a_o year_n and_o no_o more_o cross_v this_o circle_n to_o wit_n when_o he_o enter_v the_o first_o point_n of_o aries_n and_o libra_n and_o then_o he_o make_v the_o day_n and_o the_o night_n equal_a his_o entrance_n into_o aries_n be_v in_o march_n and_o be_v call_v the_o vernal_a equinox_n and_o his_o entrance_n into_o libra_n be_v in_o september_n and_o be_v call_v the_o autumnal_a equinox_n 22._o and_o from_o one_o certain_a point_n in_o this_o circle_n the_o longitude_n of_o place_n upon_o the_o earth_n be_v reckon_v and_o the_o latitude_n of_o place_n be_v reckon_v from_o this_o circle_n towards_o the_o north_n or_o the_o south_n poles_n 23._o the_o zodiac_n be_v a_o great_a circle_n draw_v upon_o the_o globe_n cut_v the_o aequinoctial_a point_n at_o oblique_a angle_n for_o although_o it_o divide_v the_o whole_a world_n into_o two_o equal_a part_n in_o reference_n to_o its_o own_o pole_n yet_o in_o reference_n to_o the_o pole_n of_o the_o world_n it_o have_v a_o oblique_a motion_n 24._o the_o pole_n of_o this_o circle_n be_v as_o far_o distant_a from_o the_o pole_n of_o the_o world_n as_o the_o great_a obliquity_n thereof_o be_v from_o the_o equinoctial_a that_o be_v 23_o degree_n and_o 31_o minute_n or_o thereabouts_o 25._o this_o circle_n do_v differ_v from_o all_o other_o circle_n upon_o the_o globe_n in_o this_o other_o circle_n to_o speak_v proper_o have_v longitude_n assign_v they_o but_o no_o latitude_n but_o this_o have_v both_o whereas_o other_o circle_n be_v in_o reference_n to_o their_o longitude_n or_o rotundity_n only_o divide_v into_o 360_o degree_n this_o circle_n in_o respect_n of_o its_o latitude_n be_v suppose_v to_o be_v divide_v into_o 16_o degree_n in_o latitude_n 26._o the_o zodiac_n then_o in_o respect_n of_o longitude_n be_v common_o divide_v into_o 360_o degree_n as_o other_o circle_n be_v but_o more_o peculiarly_a in_o respect_n of_o its_o self_n it_o be_v divide_v into_o 12_o part_n call_v sign_n and_o each_o sign_n into_o 30_o degree_n and_o 12_o time_n 30_o do_v make_v 360._o 27._o the_o 12_o sign_n into_o which_o the_o zodiac_n be_v divide_v have_v these_o name_n and_o character_n aries_n ♈_o taurus_n ♉_o gemini_fw-la ♊_o cancer_n ♋_o leo_n ♌_o virgo_fw-la â™_o libra_n ♎_o scorpio_n â™_o sagittarius_fw-la â™_o capricornus_fw-la ♑_o aquarius_n â™’_o and_o pisces_fw-la ♓_o 28._o these_o two_o circle_n of_o the_o equator_fw-la and_o zodiack_n be_v cross_v by_o two_o other_o great_a circle_n which_o be_v call_v colour_n they_o be_v draw_v through_o the_o pole_n of_o the_o world_n and_o cut_v one_o another_o as_o well_o as_o the_o equator_fw-la at_o right_a angle_n one_o of_o they_o pass_v through_o the_o intersection_n of_o the_o equinoctial_a point_n and_o be_v call_v the_o equinoctial_a colour_n the_o other_o pass_v through_o the_o point_n of_o the_o great_a distance_n of_o the_o zodiac_n from_o the_o equator_fw-la and_o be_v call_v the_o solstitial_a colour_n 29._o the_o other_o great_a circle_n describe_v upon_o the_o globe_n be_v the_o meridian_n where_o we_o must_v not_o think_v much_o to_o hear_v of_o the_o meridian_n again_o that_o of_o brass_n without_o the_o globe_n be_v to_o serve_v all_o turn_n and_o the_o globe_n be_v frame_v to_o apply_v itself_o thereto_o the_o meridian_n upon_o the_o globe_n will_v easy_o be_v perceive_v to_o be_v of_o a_o new_a and_o another_o use_n 30._o the_o meridian_n upon_o the_o globe_n be_v either_o the_o great_a or_o the_o less_o not_o that_o the_o great_a be_v any_o great_a than_o the_o less_o for_o they_o have_v all_o one_o and_o the_o same_o centre_n and_o equal_o pass_v through_o the_o pole_n of_o the_o earth_n but_o those_o which_o be_v call_v less_o be_v of_o less_o use_n than_o that_o which_o be_v call_v the_o great_a 31._o the_o great_a be_v otherwise_o call_v the_o fix_v and_o first_o meridian_n to_o which_o the_o less_o be_v second_o and_o respective_o movable_a the_o great_a meridian_n be_v as_o it_o be_v the_o landmark_n of_o the_o whole_a sphere_n from_o whence_o the_o longitude_n of_o the_o earth_n or_o any_o part_n thereof_o be_v account_v and_o it_o be_v the_o only_a circle_n which_o pass_v through_o the_o pole_n be_v graduate_v or_o divide_v into_o degree_n not_o the_o whole_a circle_n but_o the_o half_a because_o the_o longitude_n be_v to_o be_v reckon_v round_o about_o the_o earth_n 32._o the_o lesser_a meridian_n be_v those_o black_a line_n which_o you_o see_v to_o pass_v through_o the_o pole_n and_o succeed_a the_o great_a at_o 10_o and_o 10_o degree_n as_o in_o most_o globe_n or_o at_o 15_o and_o 15_o degree_n difference_n as_o in_o some_o every_o place_n never_o so_o little_o more_o east_n or_o west_n than_o another_o have_v proper_o a_o several_a meridian_n yet_o because_o of_o the_o huge_a distance_n of_o the_o earth_n from_o the_o heaven_n there_o be_v no_o sensible_a difference_n between_o the_o meridian_n of_o place_n that_o be_v less_o than_o one_o degree_n of_o longitude_n asunder_o and_o therefore_o the_o geographer_n as_o well_o as_o the_o astronomer_n allow_v a_o new_a meridian_n to_o every_o degree_n of_o the_o equator_fw-la which_o will_v be_v 180_o in_o all_o but_o except_o the_o globe_n be_v make_v of_o a_o extreme_a and_o a_o unusual_a diameter_n so_o many_o will_v stand_v too_o thick_a for_o the_o description_n therefore_o most_o common_o they_o put_v down_o but_o 18_o that_o be_v at_o 10_o degree_n distance_n from_o one_o another_o the_o special_a use_n of_o the_o lesser_a meridian_n being_n to_o make_v a_o quick_a dispatch_n in_o the_o account_n of_o the_o longitude_n other_o set_v down_o but_o 12_o at_o 15_o degree_n difference_n aim_v at_o this_o that_o the_o meridian_n might_n be_v distant_a
from_o one_o another_o a_o full_a part_n of_o time_n or_o a_o hour_n for_o see_v that_o the_o sun_n be_v carry_v 15_o degree_n of_o the_o equinoctial_a every_o hour_n the_o meridian_n set_v at_o that_o distance_n must_v make_v a_o hour_n difference_n in_o the_o rise_n or_o set_v of_o the_o sun_n in_o those_o place_n which_o differ_v 15_o degree_n in_o longitude_n and_o to_o this_o purpose_n also_o upon_o the_o north_n end_n of_o the_o globe_n without_o the_o brass_n meridian_n there_o be_v a_o small_a circle_n of_o brass_n set_v and_o divide_v into_o two_o equal_a part_n and_o each_o of_o they_o into_o twelve_o that_o be_v twenty_o four_o all_o to_o show_v the_o hour_n of_o the_o day_n and_o night_n in_o any_o place_n where_o the_o day_n and_o night_n exceed_v not_o 24_o hour_n for_o which_o purpose_n it_o have_v a_o little_a brass_n pin_n turn_v about_o upon_o the_o pole_n and_o point_v to_o the_o several_a hour_n which_o be_v therefore_o the_o index_n horarius_fw-la or_o hour_n index_n 33._o have_v describe_v the_o great_a circle_n frame_v without_o and_o draw_v upon_o the_o globe_n we_o will_v now_o describe_v the_o lesser_a circle_n also_o and_o these_o lesser_a circle_n be_v call_v parallel_n that_o be_v such_o as_o be_v in_o all_o place_n equal_o distant_a from_o the_o equator_fw-la and_o these_o circle_n how_o little_a soever_o be_v suppose_v to_o be_v divide_v into_o 360_o degree_n but_o these_o degree_n be_v not_o so_o large_a as_o in_o the_o great_a circle_n but_o do_v proportionable_o decrease_v according_a to_o the_o radius_fw-la by_o which_o they_o be_v draw_v 34._o these_o lesser_a circle_n be_v either_o the_o tropic_n or_o the_o polar_a circle_n 35._o the_o tropic_n be_v two_o small_a circle_n draw_v upon_o the_o globe_n one_o beyond_o the_o equator_fw-la towards_o the_o north_n pole_n and_o the_o other_o towards_o the_o south_n show_v the_o way_n which_o the_o sun_n make_v in_o his_o diurnal_a motion_n when_o he_o be_v at_o his_o great_a distance_n from_o the_o equator_fw-la either_o north_n or_o south_n these_o circle_n be_v call_v tropic_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d that_o be_v from_o the_o sun_n return_v for_o the_o sun_n come_v to_o these_o circle_n he_o be_v at_o his_o great_a distance_n from_o the_o equator_fw-la and_o in_o the_o same_o moment_n of_o time_n slope_v as_o it_o be_v his_o course_n he_o return_v near_a and_o near_o to_o the_o equator_fw-la again_o 36._o these_o tropical_a circle_n do_v show_v the_o point_n of_o heaven_n in_o which_o the_o sun_n do_v make_v either_o the_o long_a day_n or_o the_o short_a day_n in_o the_o year_n according_a as_o he_o be_v in_o the_o northern_a or_o the_o southern_a tropic_n and_o be_v draw_v at_o 23_o degree_n and_o a_o half_a distant_a from_o the_o equator_fw-la 37._o the_o polar_a circle_n be_v two_o lesser_a circle_n draw_v upon_o the_o globe_n at_o the_o radius_fw-la of_o 23_o degree_n and_o a_o half_a distant_a from_o the_o pole_n of_o the_o world_n show_v thereby_o the_o pole_n of_o the_o zodiac_n which_o be_v so_o many_o degree_n distant_a from_o the_o equator_fw-la on_o both_o side_n thereof_o 38._o these_o polar_a circle_n be_v 66_o degree_n and_o a_o half_a distant_a from_o the_o equator_fw-la and_o 43_o degree_n distant_a from_o his_o near_a tropic_n they_o be_v call_v the_o arctic_a and_o antarctick_a circle_n 39_o the_o arctic_a circle_n be_v that_o which_o be_v describe_v about_o the_o arctic_a pole_n and_o pass_v almost_o through_o the_o middle_n of_o the_o head_n of_o the_o great_a bear_n it_o be_v call_v the_o arctic_a circle_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d from_o the_o two_o conspicuous_a star_n towards_o the_o north_n call_v the_o great_a and_o the_o lesser_a bear_n 40._o the_o antarctick_a circle_n be_v that_o which_o be_v describe_v about_o the_o antarctick_a or_o south_n pole_n it_o be_v so_o call_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d that_o be_v from_o be_v opposite_a to_o the_o great_a and_o lesser_a bear_n have_v thus_o describe_v the_o globe_n or_o astronomical_a instrument_n by_o which_o the_o frame_n of_o the_o world_n be_v represent_v to_o our_o view_n i_o will_v proceed_v to_o show_v the_o use_n for_o which_o it_o be_v intend_v chap._n ii_o of_o the_o distinction_n and_o affection_n of_o spherical_a line_n or_o arch_n the_o use_n of_o the_o globe_n as_o to_o practise_v be_v either_o such_o as_o concern_v the_o heaven_n or_o the_o earth_n in_o either_o of_o which_o if_o we_o shall_v descend_v unto_o particular_n the_o use_n will_v be_v more_o in_o number_n than_o a_o short_a treatise_n will_v contain_v see_v therefore_o that_o all_o problem_n which_o concern_v the_o globe_n may_v be_v best_a and_o most_o accurate_o resolve_v by_o the_o doctrine_n of_o spherical_a triangle_n we_o will_v contract_v these_o use_n of_o the_o globe_n which_o otherwise_o may_v prove_v infinite_a to_o such_o problem_n as_o come_v within_o the_o compass_n of_o the_o 28_o case_n of_o right_n and_o oblique_a angle_a spherical_a triangle_n 2._o and_o that_o the_o nature_n of_o spherical_a triangle_n may_v be_v the_o better_o understand_v and_o by_o which_o of_o the_o 28_o case_n the_o particular_a problem_n may_v be_v best_a resolve_v i_o will_v set_v down_o some_o general_n definition_n and_o affection_n which_o do_v belong_v to_o such_o line_n or_o arch_n of_o which_o the_o triangle_n must_v be_v frame_v with_o the_o part_n and_o affection_n of_o those_o triangle_n and_o how_o the_o thing_n give_v and_o require_v in_o they_o may_v be_v represent_v and_o resolve_v upon_o and_o by_o the_o globe_n as_o also_o how_o they_o may_v be_v represent_v and_o resolve_v by_o the_o projection_n of_o the_o sphere_n and_o by_o the_o canon_n of_o triangle_n 3._o a_o spherical_a triangle_n than_o be_v a_o figure_n consist_v of_o three_o arch_n of_o the_o great_a circle_n upon_o the_o superficies_n of_o a_o sphere_n or_o globe_n every_o one_o being_n less_o than_o a_o semicircle_n 4._o a_o great_a circle_n be_v that_o which_o divide_v the_o sphere_n or_o globe_n into_o two_o equal_a part_n and_o thus_o the_o horizon_n equator_fw-la zodiac_n and_o meridian_n before_n describe_v be_v all_o of_o they_o great_a circle_n and_o of_o these_o circle_n or_o any_o other_o there_o must_v be_v three_o arch_n to_o make_v a_o triangle_n and_o every_o one_o of_o these_o arch_n several_o must_v be_v less_o than_o a_o semicircle_n to_o make_v this_o plain_a in_o fig._n 1._o the_o straight_a line_n har_n do_v represent_v the_o horizon_n pr._n the_o height_n of_o the_o pole_n above_o the_o horizon_n pm_v a_o meridian_n and_o these_o three_o arch_n by_o their_o intersect_v one_o another_o do_v visible_o constitute_v four_o spherical_a triangle_n 1._o pmr_n 2._o pmh_o 3._o shm._n 4._o smr_n and_o every_o arch_n be_v less_o than_o a_o semicircle_n as_o in_o the_o triangle_n pmr_n the_o arch_n pr._n be_v less_o than_o the_o semicircle_n pr_n the_o arch_a mr_n be_v less_o than_o the_o semicircle_n amr_n and_o the_o arch_n pm_n be_v less_o than_o the_o semicircle_n pm_v the_o like_a may_v be_v show_v in_o the_o other_o triangle_n 5._o spherical_a or_o circular_a line_n be_v parallel_n or_o angular_a 6._o parallel_v arch_n or_o circle_n be_v such_o as_o be_v draw_v upon_o the_o same_o centre_n within_o without_z or_o equal_a to_o another_o arch_n or_o circle_n thus_o in_o fig._n 1._o the_o arch_n ♋_o m_o ♋_o and_o ♑_o o_o ♑_o are_z though_o lesser_a circle_n parallel_n to_o the_o equinoctial_a ae_n a_o q_o and_o do_v in_o that_o scheme_n represent_v the_o tropic_n of_o cancer_n and_o capricorn_n the_o manner_n of_o describe_v they_o or_o any_o other_o parallel_n circle_n be_v thus_o set_v off_o their_o distance_n from_o the_o great_a circle_n to_o which_o you_o be_v to_o draw_v a_o parallel_n with_o your_o compass_n by_o help_n of_o your_o line_n of_o chord_n which_o in_o this_o example_n be_v 23_o degree_n and_o a_o half_a from_o ae_n to_o ♋_o then_o draw_v the_o line_n a_o ♋_o and_o upon_o the_o point_n ♋_o erect_v a_o perpendicular_a where_o that_o perpendicular_a shall_v cut_v the_o axis_n pas_n extend_v be_v the_o centre_n of_o that_o parallel_n 7._o a_o spherical_a angle_n be_v that_o which_o be_v contain_v by_o two_o arch_n of_o the_o great_a circle_n upon_o the_o superficies_n of_o the_o globe_n intersect_v one_o another_o angle_n make_v by_o the_o intersection_n of_o two_o little_a circle_n or_o of_o a_o little_a circle_n with_o a_o great_a we_o take_v no_o notice_n of_o in_o the_o doctrine_n of_o spherical_a triangle_n 8._o a_o spherical_a angle_n be_v either_o right_a or_o oblique_a 9_o a_o spherical_a right_a angle_n be_v that_o which_o be_v contain_v by_o two_o arch_n of_o the_o great_a circle_n in_o the_o superficies_n of_o the_o sphere_n cut_v one_o another_o at_o right_a angle_n that_o be_v
to_o reduce_v her_o place_n from_o she_o orbit_n to_o the_o ecliptic_a chap._n 19_o to_o find_v the_o mean_a conjunction_n and_o opposition_n of_o the_o sun_n and_o moon_n the_o four_o part_n or_o a_o introduction_n to_o geography_n chap._n 1._o of_o the_o nature_n and_o division_n of_o geography_n chap._n 2._o of_o the_o distinction_n or_o dimension_n of_o the_o earthly_a globe_n by_o zone_n and_o climate_n chap._n 3._o of_o europe_n chap._n 4._o of_o asia_n chap._n 5._o of_o africa_n chap._n 6._o of_o america_n chap._n 7._o of_o the_o description_n of_o the_o terrestrial_a globe_n by_o map_n universal_a and_o particular_a a_o table_n of_o the_o view_n of_o the_o most_o notable_a epochas_n the_o julian_n calendar_n page_n 461_o the_o gregorian_a calendar_n 466_o a_o table_n to_o convert_v sexagenary_a degree_n and_o minute_n into_o decimal_n and_o the_o contrary_n 476_o a_o table_n convert_v hour_n and_o minute_n into_o degree_n and_o minute_n of_o the_o aequator_fw-la 480_o a_o table_n of_o the_o longitude_n and_o latitude_n of_o some_o of_o the_o most_o eminent_a city_n and_o town_n in_o england_n and_o ireland_n 482_o a_o table_n of_o the_o sun_n mean_a longitude_n and_o anomaly_n in_o both_o egyptian_a and_o julian_n year_n month_n day_n hour_n and_o minute_n 484_o table_n of_o the_o moon_n mean_a motion_n 493_o a_o catalogue_n of_o some_o of_o the_o most_o notable_a fix_a star_n according_a to_o the_o observation_n of_o tycho_n brahe_n rectify_v to_o the_o year_n 1601._o 511_o book_n print_v for_o and_o sell_v by_o thomas_n passenger_n at_o the_o three_o bibles_n on_o the_o middle_n of_o london-bridge_n the_o element_n of_o the_o mathematical_a art_n common_o call_v algebra_n expound_v in_o four_o book_n by_o john_n kersey_n in_o two_o vol._n fol._n a_o mirror_n or_o looking-glass_n for_o saint_n and_o sinner_n show_v the_o justice_n of_o god_n on_o the_o one_o and_o his_o mercy_n towards_o the_o other_o set_v forth_o in_o some_o thousand_o of_o example_n by_o sam._n clark_n in_o two_o vol._n fol._n the_o mariner_n magazine_n by_o capt._n sam._n sturmy_n fol._n military_a and_o maritime_a discipline_n in_o three_o book_n by_o capt._n tho._n kent_n fol._n dr._n cudworth_n universal_a systeme_n the_o triumph_n of_o god_n revenge_n against_o the_o cry_v and_o execrable_a sin_n of_o wilful_a and_o premeditate_a murder_n by_o john_n reynolds_n fol._n royal_a and_o practical_a chemistry_n by_o oswaldus_n crollius_n and_o john_n hartman_n faithful_o render_v into_o english_a fol._n practical_a navigation_n by_o john_n seller_n quarto_fw-la the_o history_n of_o the_o church_n of_o great_a britain_n from_o the_o birth_n of_o our_o saviour_n until_o the_o year_n of_o our_o lord_n 1667._o quarto_fw-la the_o ecclesiastical_a history_n of_o france_n from_o the_o first_o plantation_n of_o christianity_n there_o unto_o this_o time_n quarto_fw-la the_o book_n of_o architecture_n by_o andrea_n palladio_n quarto_fw-la the_o mirror_n of_o architecture_n or_o the_o ground_n rule_v of_o the_o art_n of_o building_n by_o vincent_n scammozi_n quarto_fw-la trigonometry_n on_o the_o doctrine_n of_o triangle_n by_o rich._n norwood_n quarto_fw-la markham_n masterpiece_n revive_v contain_v all_o knowledge_n belong_v to_o the_o smith_n farrier_n or_o horse-leach_n touch_v the_o cure_n of_o all_o disease_n in_o horse_n quarto_fw-la collins_n sector_n on_o a_o quadrant_n quarto_fw-la the_o famous_a history_n of_o the_o destruction_n of_o troy_n in_o three_o book_n quarto_fw-la safeguard_v of_o sailor_n quarto_fw-la norwood_n seaman_n companion_n quarto_fw-la geometrical_a seaman_n quarto_fw-la a_o plain_a and_o familiar_a exposition_n of_o the_o ten_o commandment_n by_o john_n dod_n quarto_fw-la the_o mariner_n new_a calendar_n quarto_fw-la the_o seaman_n calendar_n quarto_fw-la the_o seaman_n practice_n quarto_fw-la the_o honour_n of_o chivalry_n do_v the_o famous_a and_o delectable_a history_n of_o don_n belianus_fw-la of_o greece_n quarto_fw-la the_o history_n of_o amadis_n de_fw-fr gaul_n the_o five_o part_n quarto_fw-la the_o seaman_n dictionary_n quarto_fw-la the_o complete_a cannonier_n quarto_fw-la seaman_n glass_n quarto_fw-la complete_a shipwright_n quarto_fw-la the_o history_n of_o valentine_n and_o orson_n quarto_fw-la the_o complete_a modellist_n quarto_fw-la the_o boat-swain_n art_n quarto_fw-la pilot_n sea-mirror_n quarto_fw-la the_o famous_a history_n of_o montelion_fw-mi knight_n of_o the_o oracle_n quarto_fw-la the_o history_n of_o palladine_n of_o england_n quarto_fw-la the_o history_n of_o cleocretron_n and_o cloriâ—ma_n quarto_fw-la the_o arralgnment_n of_o low_a idle_a froward_a and_o unconstant_a woman_n quarto_fw-la the_o pleasant_a history_n of_o jack_n of_o newbâ—â—y_n quarto_fw-la fillip_v mathematical_a manual_n octavo_n a_o prospect_n of_o heaven_n or_o a_o treatise_n of_o the_o happiness_n of_o the_o saint_n in_o glory_n oct_n etymologicunt_fw-la parvum_fw-la oct_n thesaurus_fw-la astrologiae_fw-la or_o a_o astrological_a treasury_n by_o john_n gadbury_n oct_n gellibrand_n '_o be_v epitome_n oct_n the_o english_a academy_n or_o a_o brief_a introduction_n to_o the_o seven_o liberal_a art_n by_o john_n newton_n d._n d._n oct_n the_o best_a exercise_n for_o christian_n in_o the_o worst_a time_n by_o i._o h._n oct_n a_o seasonable_a discourse_n of_o the_o right_a use_n and_o abuse_v of_o reason_n in_o matter_n of_o religion_n oct_n the_o mariner_n compass_n rectify_v oct_n norwood_n '_o s_o epitome_n oct_n chemical_a essay_n by_o john_n beguinus_n oct_n a_o spiritual_a antidote_n against_o sinful_a contagion_n by_o tho._n doolittle_n oct_n monastieon_n fevershamiense_n or_o a_o description_n of_o the_o abbey_n of_o feversham_n oct_n scarborough_n '_o s_o spa_n oct_n french_a schoolmaster_n oct_n the_o poem_n of_o ben._n johnson_n junior_a oct_n a_o book_n of_o knowledge_n in_o three_o part_n oct_v the_o book_n of_o palmistry_n oct_n farnaby_n '_o s_z epigramm_v oct_n the_o huswife_n companion_n and_o the_o husbandman_n guide_n oct_v jovial_a garland_n oct_n cocker_n '_o s_o arithmetic_n twelve_o the_o path_n way_n to_o health_n twelve_o hall_n '_o s_z soliloquy_n twelves_o the_o complete_a servant_n maid_n or_o the_o young_a maiden_n tutor_n twelve_o newton_n introduction_n to_o the_o art_n of_o logic_n twelve_o newton_n introduction_n to_o the_o art_n of_o rhetoric_n twelve_o the_o anatomy_n of_o popery_n or_o a_o catalogue_n of_o popish_a error_n in_o doctrine_n and_o corruption_n in_o worship_n twelve_o the_o famous_a history_n of_o the_o five_o wise_a philosopher_n contain_v the_o life_n of_o jehosophat_n the_o hermit_n twelves_o the_o exact_a constable_n with_o his_o original_a and_o power_n in_o all_o case_n belong_v to_o his_o office_n twelve_o the_o complete_a academy_n or_o a_o nursery_n of_o compliment_n twelves_o heart_n salve_n for_o a_o wound_a soul_n and_o eye_n salve_v for_o a_o blind_a world_n by_o tho._n calvert_n twelve_o pilgrim_n port_n or_o the_o weary_a man_n rest_n in_o the_o grave_a twelve_o christian_n devotion_n or_o a_o manual_a of_o prayer_n twelves_o the_o mariner_n divine_a mate_n twelve_o at_o cherry_n garden_n stair_n on_o rotherhith_n wall_n be_v teach_v these_o mathematical_a science_n viz._n arithmetic_n algebra_n geometry_n trigonometry_n survey_v navigation_n dyall_v astronomy_n gauge_v gunnery_n and_o fortification_n the_o use_n of_o the_o globe_n and_o other_o mathematical_a instrument_n the_o projection_n of_o the_o sphere_n on_o any_o circle_n etc._n etc._n he_o make_v and_o sell_v all_o sort_n of_o mathematical_a instrument_n in_o wood_n and_o brass_n for_o sea_n and_o land_n with_o book_n to_o show_v the_o use_n of_o they_o where_o you_o may_v have_v all_o sort_n of_o map_n plait_n sea-chart_n in_o plain_a and_o mercator_n on_o reasonable_a term_n by_o james_n atkinson_n finis_fw-la
towards_o the_o north_n pole_n in_o these_o northern_a part_n of_o the_o world_n the_o contrary_a be_v to_o be_v observe_v in_o the_o southern_a part_n then_o in_o the_o right_o angle_a spherical_a triangle_n adf_n in_o fig._n 1._o we_o have_v give_v the_o angle_n fad_n the_o sun_n great_a declination_n the_o leg_n df_n the_o sun_n present_a declination_n to_o find_v of_o the_o sun_n distance_n from_o the_o next_o equinoctial_a point_n therefore_o by_o the_o case_n of_o right_o angle_v spherical_a triangle_n as_o the_o sine_fw-la of_o fad_n 23._o 525._o comp._n ar._n 0.3988648_o be_v to_o the_o sine_fw-la of_o df._n 23._o 5._o 9.5945468_o so_o be_v the_o radius_fw-la 10.0009000_o to_o the_o sine_fw-la of_o af._n 80._o 04._o 9.9934116_o problem_n 6._o the_o pole_n elevation_n and_o sun_n declination_n be_v give_v to_o find_v his_o amplitude_n the_o amplitude_n of_o the_o sun_n be_v rise_v or_o set_v be_v a_o arch_n of_o the_o horizon_n intercept_v betwixt_o the_o aequator_fw-la and_o the_o place_n of_o the_o sun_n be_v rise_v or_o set_v and_o it_o be_v either_o northward_o or_o southward_o the_o northward_o amplitude_n be_v when_o he_o rise_v or_o set_v on_o this_o side_n of_o the_o aequator_fw-la towards_o the_o north_n pole_n and_o the_o southern_a when_o he_o rise_v or_o set_v on_o that_o side_n of_o the_o aequator_fw-la which_o be_v towards_o the_o south_n pole_n that_o we_o may_v then_o find_v the_o sun_n amplitude_n or_o distance_n from_o the_o east_n or_o west_n point_n at_o the_o time_n of_o his_o rise_n or_o set_v in_o the_o right_o angle_a spherical_a triangle_n atm_n in_o fig._n 2._o let_v there_o be_v give_v the_o angle_n tam_n 38._o 47._o the_o compliment_n of_o the_o pole_n elevation_n and_o tm_n 23._o 15._o the_o sun_n be_v present_a declination_n to_o find_v be_o the_o sun_n amplitude_n by_o the_o eleven_o case_n of_o right_o angle_v spherical_a triangle_n as_o the_o sine_fw-la of_o mat._n 38._o 47._o comp._n ar._n 0.2061365_o be_v to_o the_o radim_n 10.0000000_o so_o be_v the_o sine_fw-la of_o mt_n 23._o 15._o 9.5945468_o to_o the_o sine_fw-la of_o am._n 39_o 19_o 9.8006833_o problem_n 7._o to_o find_v the_o ascensional_a difference_n the_o ascensional_a difference_n be_v nothing_o else_o but_o the_o difference_n between_o the_o ascension_n of_o any_o point_n of_o the_o ecliptic_a in_o a_o right_a sphere_n and_o the_o ascension_n of_o the_o same_o point_n in_o a_o oblique_a sphere_n as_o in_o fig._n 1._o at_o be_v the_o ascensional_a difference_n between_o da_fw-la the_o sun_n ascension_n in_o a_o right_a sphere_n and_o dt_n the_o sun_n ascension_n in_o a_o oblique_a sphere_n now_o then_o in_o the_o right_o angle_a spherical_a triangle_n amt_v we_o have_v give_v the_o angle_n mat._n 38._o 47._o the_o compliment_n of_o the_o pole_n elevation_n and_o mt_n 23._o 15._o to_o find_v at_o the_o ascensional_a difference_n as_o rad._n  _fw-fr to_o the_o cot._n of_o mat._n 38._o 47._o com._n ar._n 10.0999136_o so_o be_v tang._n mt_n 23._o 55._o 9.6310051_o to_o the_o sine_fw-la of_o at_o 32._o 56._o 9.7309187_o problem_n 8._o have_v the_o right_a ascension_n and_o ascensional_n difference_n to_o find_v the_o oblique_a ascension_n and_o descension_n in_o fig._n 1._o dt_n represent_v the_o right_a ascension_n at_o the_o ascensional_a difference_n da_z the_o oblique_a ascension_n which_o be_v find_v by_o deduct_v the_o ascensional_a difference_n at_o from_o the_o right_a ascension_n dt_n according_a to_o the_o direction_n follow_v if_o the_o declination_n be_v n._n north_n subt._n add_v the_o ascentional_a difference_n from_o the_o right_n and_o it_o give_v the_o oblique_a ascension_n the_o ascensional_a difference_n to_o the_o right_n and_o it_o give_v the_o oblique_a descension_n south_n add_v subt._n the_o ascensional_a difference_n to_o the_o right_n and_o it_o give_v the_o oblique_a ascension_n the_o ascensional_a difference_n from_o the_o right_n and_o it_o give_v the_o oblique_a descension_n right_o ascension_n of_o ♊_o 0_o deg_n 57.80_o ascensional_a difference_n 27.62_o oblique_a ascension_n ♊_o 0_o deg_n 30.18_o oblique_a descension_n ♊_o 0_o deg_n 85.42_o problem_n 9_o to_o find_v the_o time_n of_o the_o sun_n be_v rise_v and_o set_v with_o the_o length_n of_o the_o day_n and_o night_n the_o ascensional_a difference_n of_o the_o sun_n be_v add_v to_o the_o semidiurnal_a arch_n in_o a_o right_a sphere_n that_o be_v to_o 90_o degree_n in_o the_o northern_a sign_n or_o substract_v from_o it_o in_o the_o southern_a their_o sum_n or_o difference_n will_v be_v the_o semidiurnal_a arch_n which_o double_v be_v the_o right_a arch_n which_o bisect_v be_v the_o time_n of_o the_o sun_n rise_v and_o the_o day_n arch_n bisect_v be_v the_o time_n of_o his_o set_n as_o when_o the_o sun_n be_v in_o 0_o deg_n ♊_o his_o ascensional_a difference_n be_v 27._o 62._o which_o be_v add_v to_o 90_o degree_n because_o the_o declination_n be_v north_n the_o sum_n will_v be_v 117.62_o the_o semidiurnal_a arch._n the_o double_a whereof_o be_v 235.22_o the_o diurnal_a arch_n which_o be_v convert_v into_o time_n make_v 15_o hour_n 41_o minute_n for_o the_o length_n of_o the_o day_n who_o compliment_n to_o 24_o be_v 8_o hour_n 19_o minute_n the_o length_n of_o the_o night_n the_o half_a whereof_o be_v 4_o hour_n 9_o minute_n 30_o second_o the_o time_n of_o the_o sun_n be_v rise_v problem_n 10._o the_o pole_n elevation_n and_o the_o sun_n declination_n be_v give_v to_o find_v his_o altitude_n at_o any_o time_n assign_v in_o this_o problem_n there_o be_v three_o variety_n 1._o when_o the_o sun_n be_v in_o the_o aequator_fw-la that_o be_v in_o the_o begin_n of_o ♈_o and_o ♎_o in_o which_o case_n suppose_v the_o sun_n to_o be_v at_o b_o 60_o degree_n or_o four_o hour_n distant_a from_o the_o meridian_n then_o in_o the_o right_o angle_a spherical_a triangle_n bz_n ae_n in_o fig._n 1._o we_o have_v give_v ae_n z_o 51._o 53._o the_o pole_n elevation_n and_o b_o ae_n 60_o degree_n to_o find_v bz_n therefore_o by_o the_o 2_o case_n of_o right_o angle_v spherical_a triangle_n as_o the_o radius_fw-la  _fw-fr to_z the_o cousin_n of_o ae_n z._n 51._o 53._o 9.7938635_o so_o be_v the_o cousin_n of_o b._n ae_n 60._o 9.6989700_o to_o the_o cousin_n of_o b_o z._n 71._o 88_o 9.4928335_o who_o be_v compliment_n bc._n 18._o 12._o be_v the_o ☉_o altitude_n require_v the_o second_o variety_n be_v when_o the_o sun_n be_v in_o the_o northern_a sign_n that_o be_v in_o ♈_o ♉_o ♊_o ♋_o ♌_o â™_o in_o which_o case_n suppose_v the_o sun_n to_o be_v at_o f_o in_o fig._n two_o then_o in_o the_o oblique_a angle_a spherical_a triangle_n fzp_n we_o have_v give_v 1._o pz_fw-fr 38._o 47_o the_o compliment_n of_o the_o pole_n elevation_n 2._o fp_n 67._o 97_o the_o compliment_n of_o declination_n 3._o zpf_n 45_o the_o distance_n of_o the_o ☉_o from_o the_o meridian_n to_o find_v fz_n therefore_o by_o the_o eight_o case_n of_o oblique_a angle_a spherical_a triangle_n as_o the_o cotang_n of_o zp_n 38._o 47._o 10.0997059_o be_v to_o the_o radius_fw-la 10.0000000_o so_o be_v the_o cousin_n of_o zpf_n 45._o 9.8494850_o to_o the_o tang._n of_o sp._n 29._o 33._o 9.7497791_o then_o from_o fp_n 67.97_o deduct_v sp._n 29.33_o there_o rest_v f_n 38.64_o as_o the_o cousin_n of_o sp._n 29._o 33._o comp._n ar._n 0.0595768_o to_o the_o cousin_n of_o pz_n 38._o 47._o 9.8937251_o so_o be_v the_o cousin_n of_o f_n 38._o 64._o 9.8926982_o to_o the_o cousin_n of_o fz_n 45._o 45._o 9.8460001_o who_o be_v compliment_n fc_n 44._o 55_o be_v the_o ☉_o altitude_n require_v the_o three_o variety_n be_v when_o the_o sun_n be_v in_o the_o southern_a sign_n as_o in_o ♎_o â™_o â™_o ♑_o â™’_o ♓_o and_o in_o this_o case_n suppose_v the_o ☉_o to_o be_n â™_o 10_o degree_n and_o his_o declination_n south_n db_n 22._o 03._o and_o his_o distance_n from_o the_o meridian_n 45_o as_o before_o then_o in_o the_o oblique_a angle_a spherical_a triangle_n z_o bp_n in_o fig._n 1._o we_o have_v give_v z_o p._n 38._o 47._o the_o side_n bp_v 112._o 03._o and_o the_o angle_n zpb_n 45._o to_o find_v zb._n therefore_o by_o the_o 8_o case_n of_o oblique_a angle_a spherical_a triangle_n as_o the_o cotang_n of_o zp_n 38._o 47._o 10.0997059_o be_v to_o the_o radius_fw-la 10.0000000_o so_o be_v the_o cousin_n of_o zpb_n 45._o 9.8494850_o to_o the_o tang._n of_o sp._n 29._o 33._o 9.7497791_o then_o from_o bp._n 112.03_o deduct_v sp._n 29.33_o there_o rest_v bs._n 82.70_o as_o the_o cousin_n of_o p_o s._n 29._o 33._o comp._n ar._n 0.0595768_o to_o the_o cousin_n of_o zp_n 38._o 47._o 9.8937251_o so_o the_o cousin_n of_o bs._n 82._o 70_o 9.1040246_o to_o the_o cousin_n of_o zb._n 83._o 45._o 9.0573265_o who_o be_v compliment_n 6.55_o be_v the_o ☉_o altitude_n require_v problem_n 11._o have_v the_o altitude_n of_o the_o sun_n his_o distance_n
least_o denomination_n and_o so_o proceed_v according_a to_o the_o rule_n give_v example_n let_v it_o be_v require_v to_o convert_v 125_o degree_n of_o the_o sexagenary_a circle_n into_o their_o correspondent_a part_n in_o the_o decimal_n i_o say_v as_o 360_o be_v to_o 100_o so_o be_v 125_o to_o 34_o 722222_o etc._n etc._n that_o be_v 34_o degree_n and_o 722222_o part_n 2._o example_n let_v the_o decimal_n of_o 238_o degree_n 47_o minute_n be_v require_v in_o a_o whole_a circle_n there_o be_v 21600_o minute_n and_o in_o 238_o degree_n there_o be_v 14280_o minute_n to_o which_o 47_o be_v add_v the_o sum_n be_v 14327._o now_o than_o i_o say_v if_o 21600_o give_v 100_o what_o shall_v 14327._o the_o answ._n be_v 66_o 3287_o etc._n etc._n in_o like_a manner_n if_o it_o be_v require_v to_o convert_v the_o hour_n and_o minute_n of_o a_o day_n into_o decimal_a part_n say_v thus_o if_o 24_o hour_n give_v 100_o what_o shall_v any_o other_o number_n of_o hour_n give_v thus_o if_o the_o decimal_n of_o 18_o hour_n be_v require_v the_o answer_n will_v be_v 75_o and_o the_o decimal_n answer_v to_o 16_o hour_n 30_o minute_n be_v 68_o 75._o but_o if_o it_o be_v require_v to_o convert_v the_o decimal_n part_v of_o a_o circle_n into_o its_o correspondent_a part_n in_o sexagenary_a the_o proportion_n be_v as_o 100_o be_v to_o the_o decimal_n give_v so_o be_v 360_o to_o the_o sexagenary_a degree_n and_o part_n require_v example_n let_v the_o decimal_n give_v be_v 349_o 722222_o if_o you_o multiply_v this_o number_n give_v by_o 360_o the_o product_n will_v be_v 1249999992_o that_o be_v cut_v off_o 7_o figure_n 124_o degree_n and_o 9999992_o part_n of_o a_o degree_n if_o minute_n be_v require_v multiply_v the_o decimal_a part_n by_o 60_o and_o from_o the_o product_n cut_v off_o as_o many_o figure_n as_o be_v in_o the_o decimal_n part_v give_v the_o rest_n shall_v be_v the_o minute_n desire_v but_o to_o avoid_v this_o trouble_n i_o have_v here_o exhibit_v two_o table_n the_o one_o for_o convert_v sexagenary_a degree_n and_o minute_n into_o decimal_n and_o the_o contrary_n the_o other_o for_o convert_v hour_n and_o minute_n into_o decimal_n and_o the_o contrary_n the_o use_n of_o which_o table_n i_o will_v explain_v by_o example_n let_v it_o be_v require_v to_o convert_v 258_o degree_n 34′_n 47″_n into_o the_o part_n of_o a_o circle_n decimal_o divide_v the_o table_n for_o this_o purpose_n do_v consist_v of_o two_o leave_n the_o first_o leaf_n be_v divide_v into_o 21_o column_n of_o which_o the_o 1._o 3._o 5._o 7._o 9_o 11._o 13._o 15._o 17._o 19_o do_v contain_v the_o degree_n in_o a_o sexagenary_a circle_n the_o 2._o 4._o 6._o 8._o 10._o 12._o 14._o 16._o 18_o and_o 20_o do_v contain_v the_o degree_n of_o a_o circle_n decimal_o divide_v answer_v to_o the_o former_a and_o the_o last_o column_n do_v contain_v the_o decimal_a part_n to_o be_v annex_v to_o the_o decimal_a degree_n thus_o the_o decimal_a degree_n answer_v to_o 26_o sexagenary_a be_v 7_o and_o the_o part_n in_o the_o last_o column_n be_v 22222222_o and_o therefore_o the_o degree_n and_o part_n answer_v to_o 26_o sexagenary_a degree_n be_v 7._o 22222222._o in_o like_a manner_n the_o decimal_n of_o 62_o degree_n 17._o 22222222._o and_o the_o decimal_n of_o 258_o degree_n 34′_n 47″_n be_v thus_o find_v the_o decimal_n of_o 258_o degree_n be_v 71.66666666_o the_o decimal_n of_o 34_o minute_n be_v .15747040_o the_o decimal_n of_o 47_o second_n be_v .00362652_o their_o sum_n 71.82776358_o be_v the_o decimal_n of_o 258_o degree_n 34′_n 47″_n as_o be_v require_v in_o like_a mauner_n the_o decimal_n of_o any_o hour_n and_o minute_n may_v be_v find_v by_o the_o table_n for_o that_o purpose_n example_n let_v the_o decimal_n of_o 7_o hour_n 28′_n be_v require_v the_o decimal_n answer_v to_o 7h_n be_v 29.16666667_o the_o decimal_n of_o 28_o minute_n be_v 1.94444444_o the_o sum_n 31.11111111_o be_v the_o decimal_n seek_v to_o find_v the_o degree_n and_o minute_n in_o a_o sexagenary_a circle_n answer_v to_o the_o degree_n and_o part_n of_o a_o circle_n decimal_o divide_v be_v but_o the_o contrary_a work_n as_o if_o it_o be_v require_v to_o find_v the_o degree_n and_o minute_n answer_v to_o this_o decimal_n 71._o 02776359_o the_o degree_n or_o integer_n be_v seek_v in_o the_o 2._o 4._o 6_o or_o 8_o column_n etc._n etc._n of_o the_o first_o leaf_n of_o that_o table_n right_a against_o 71._o i_o find_v 256_o and_o in_o the_o last_o column_n these_o part_n 11111111_o which_o be_v less_o than_o the_o decimal_n give_v i_o proceed_v till_o i_o come_v to_o 6666667_o which_o be_v the_o near_a to_o my_o number_n give_v i_o find_v against_o these_o part_n under_o 71._o degree_n 258_o so_o then_o 258_o be_v the_o degree_n answer_v to_o the_o decimal_n give_v and_o to_o find_v the_o minute_n and_o second_o from_o 71.82776359_o i_o subtract_v the_o number_n in_o the_o table_n 71.66666667_o the_o remainder_n be_v 16109692_o which_o be_v seek_v in_o the_o next_o leaf_n under_o the_o title_n minute_n the_o next_o leaf_n be_v 11747640_o and_o the_o minute_n 34_o and_o this_o number_n be_v subtract_v the_o remainder_n be_v 00362652_o which_o be_v the_o decimal_n of_o 47_o second_n and_o so_o the_o degree_n and_o minute_n answer_v to_o the_o decimal_n give_v be_v 258_o degree_n 34′_n and_o 47″_n the_o like_a may_v be_v do_v for_o any_o other_o chap._n viii_o of_o the_o difference_n of_o meridiens_n have_v in_o the_o first_o part_n show_v how_o the_o place_n of_o the_o planet_n in_o the_o zodiac_n may_v be_v find_v by_o observation_n and_o how_o to_o reduce_v the_o time_n of_o a_o observation_n make_v in_o one_o country_n to_o the_o correspondent_a time_n in_o another_o as_o to_o the_o day_n of_o the_o month_n by_o consider_v the_o several_a measure_n of_o the_o year_n in_o several_a nation_n there_o be_v yet_o onething_a want_v which_o be_v by_o a_o observation_n make_v of_o a_o planet_n place_n in_o one_o country_n to_o find_v when_o the_o planet_n be_v in_o that_o place_n in_o reference_n to_o another_o as_o suppose_v the_o ☉_o by_o observation_n be_v find_v at_o vraniburg_n to_o be_v in_o ♈_o 3d._o 13′_n 14″_n march_v the_o fourteen_o 1583_o at_o what_o time_n be_v the_o sun_n in_o the_o same_o place_n at_o london_n to_o resolve_v this_o and_o the_o like_a question_n the_o longitude_n of_o place_n from_o some_o certain_a meridian_n must_v be_v know_v to_o which_o purpose_n i_o have_v here_o exhibit_v a_o table_n show_v the_o difference_n of_o meridian_n in_o hour_n and_o minute_n of_o most_o of_o the_o eminent_a place_n in_o england_n from_o the_o city_n of_o london_n and_o of_o some_o place_n beyond_o the_o sea_n also_o the_o use_n whereof_o be_v either_o to_o reduce_v the_o time_n give_v under_o the_o meridian_n of_o london_n to_o some_o other_o meridian_n or_o the_o time_n give_v in_o some_o other_o meridian_n to_o the_o meridian_n of_o london_n 1._o if_o it_o be_v require_v to_o reduce_v the_o time_n give_v under_o the_o meridian_n of_o london_n to_o some_o other_o meridian_n seek_v the_o place_n desire_v in_o the_o catalogue_n and_o the_o difference_n of_o time_n there_o find_v either_o add_v to_o or_o subtract_v from_o the_o time_n give_v at_o london_n according_a as_o the_o title_n of_o addition_n or_o subtraction_n show_v so_o will_v the_o time_n be_v reduce_v to_o the_o meridian_n of_o the_o other_o place_n as_o be_v require_v example_n the_o same_o place_n at_o london_n be_v in_o the_o first_o point_n of_o ♉_o 6_o hour_n p._n m._n and_o it_o be_v require_v to_o reduce_v the_o same_o to_o the_o meridian_n of_o vraniburg_n i_o therefore_o seek_v in_o vraniburg_n in_o the_o catalogue_n of_o place_n against_o which_o i_o find_v 50′_n with_o the_o letter_n a_o annex_v therefore_o i_o conclude_v that_o the_o sun_n be_v that_o day_n at_o vraniburg_n in_o the_o first_o point_n of_o ♉_o 6_o hour_n 50′_n p._n m._n 2._o if_o the_o time_n give_v be_v under_o some_o other_o meridian_n and_o it_o be_v require_v to_o reduce_v the_o same_o to_o the_o meridian_n of_o london_n you_o must_v seek_v the_o place_n give_v in_o the_o catalogue_n and_o the_o difference_n of_o time_n there_o find_v contrary_a to_o the_o title_n be_v to_o be_v add_v or_o subtract_v from_o the_o time_n there_o give_v example_n suppose_v the_o place_n of_o the_o sun_n have_v be_v at_o vraniburg_n at_o 6_o hour_n 50′_n p._n m._n and_o i_o will_v reduce_v the_o same_o to_o the_o meridian_n of_o london_n against_o vraniburg_n as_o before_o i_o find_v 50′_n a._n therefore_o contrary_a to_o the_o title_n i_o subtract_v 50′_n and_o the_o remainder_n 6_o hour_n be_v the_o time_n of_o the_o sun_n place_n in_o the_o meridian_n of_o london_n chap._n ix_o of_o the_o theory_n of_o the_o
sun_n be_v or_o earth_n motion_n in_o the_o first_o part_n of_o this_o treatise_n we_o have_v speak_v of_o the_o primary_n motion_n of_o the_o planet_n and_o star_n as_o they_o be_v wheel_v about_o in_o their_o diurnal_a motion_n from_o east_n to_o west_n but_o here_o we_o be_v to_o show_v their_o own_o proper_a motion_n in_o their_o several_a orb_n from_o west_n to_o east_n which_o we_o call_v their_o second_o motion_n 1._o and_o these_o orb_n be_v suppose_v to_o be_v elliptical_a as_o the_o ingenious_a repler_n by_o the_o help_n of_o tycho_n accurate_a observation_n have_v demonstrate_v in_o the_o motion_n of_o mars_n and_o mercury_n and_o may_v therefore_o be_v conceive_v to_o be_v the_o figure_n in_o which_o the_o rest_n do_v move_v 2._o here_o than_o we_o be_v to_o consider_v what_o a_o ellipsis_n be_v how_o it_o may_v be_v draw_v and_o by_o what_o method_n the_o motion_n of_o the_o planet_n according_a to_o that_o figure_n may_v be_v compute_v 3._o what_o a_o ellipsis_n be_v apollonius_n pergaeus_n in_o conicis_fw-la claudius_n mydorgius_n and_o other_o have_v well_o define_v and_o explain_v but_o here_o i_o think_v it_o sufficient_a to_o tell_v the_o reader_n that_o it_o be_v a_o long_a circle_n or_o a_o circular_a line_n draw_v within_o or_o without_o a_o long_a square_n or_o a_o circular_a line_n draw_v between_o two_o circle_n of_o different_a diameter_n 4._o the_o usual_a and_o mechanical_a way_n of_o draw_v this_o ellipsis_n be_v thus_o first_o draw_v a_o line_n to_o that_o length_n which_o you_o will_v have_v the_o great_a diameter_n to_o be_v as_o the_o line_n ap_n in_o figure_n 8_o and_o from_o the_o middle_n of_o this_o line_n at_o x_o set_v off_o with_o your_o compass_n the_o equal_a distance_n xm_o and_o xh_n 5._o then_o take_v a_o piece_n of_o thread_n of_o the_o same_o length_n with_o the_o diameter_n ap_n and_o fasten_v one_o end_n thereof_o in_o the_o point_n m_o and_o the_o other_o in_o the_o point_n h_n and_o with_o your_o pen_n extend_v the_o thread_n thus_o fasten_v to_o the_o point_n a_o and_o from_o thence_o towards_o p_o keep_v the_o thread_n stiff_a upon_o your_o pen_n draw_v a_o line_n from_o a_o by_o b_o to_o p_o the_o line_n so_o draw_v shall_v be_v half_a a_o ellipsis_n and_o in_o like_a manner_n you_o may_v draw_v the_o other_o half_a from_o p_o by_o d_o to_z a._n in_o which_o because_o the_o whole_a thread_n be_v equal_a to_o the_o diameter_n ap._n therefore_o the_o two_o line_n make_v by_o thread_n in_o draw_v of_o the_o ellipsis_n must_v in_o every_o point_n of_o the_o say_a ellipsis_n be_v also_o equal_a to_o the_o same_o diameter_n ap._n they_o that_o desire_v a_o demonstration_n thereof_o geometrical_o may_v consult_v apollonius_n pergaeus_n claudius_n mydorgius_n or_o other_o in_o their_o treatise_n of_o conical_a section_n this_o be_v sufficient_a for_o our_o present_a purpose_n and_o from_o the_o equality_n of_o these_o two_o line_n with_o the_o diameter_n a_o brief_a method_n of_o calculation_n of_o the_o planet_n place_n in_o a_o ellipsis_n be_v thus_o demonstrate_v by_o dr._n ward_n now_o bishop_n of_o salisbury_n 6._o in_o this_o ellipsis_n h_n denote_v the_o place_n of_o the_o sun_n centre_n to_o which_o the_o true_a motion_n of_o the_o planet_n be_v refer_v m_o the_o other_o focus_n whereunto_o the_o equal_a or_o middle_a motion_n be_v number_v a_o the_o aphelion_n where_o the_o planet_n be_v far_a distant_a from_o the_o sun_n and_o slow_a in_o motion_n p_o the_o perihelion_n where_o the_o planet_n be_v near_a the_o sun_n and_o slow_a in_o motion_n in_o the_o point_v a_o and_o p_o the_o line_n of_o the_o mean_a and_o true_a motion_n do_v convene_v and_o therefore_o in_o either_o of_o these_o place_n the_o planet_n be_v from_o p_o in_o equality_n but_o in_o all_o other_o point_v the_o mean_a and_o true_a motion_n differ_v and_o in_o d_o and_o c_o be_v the_o great_a elliptic_a aequation_n 8._o now_o suppose_v the_o planet_n in_o b_o the_o line_n of_o the_o middle_a motion_n according_a to_o this_o figure_n be_v mb_a the_o line_n of_o the_o true_a motion_n hb_n the_o mean_a anomaly_n amb._n the_o eliptick_a aequation_n or_o prosthaphaeresis_fw-la mbh_n which_o in_o this_o example_n subtract_v from_o ambiguity_n the_o remainder_n ahb_n be_v the_o true_a anomaly_n and_o here_o note_v that_o in_o the_o right_n line_v triangle_n mbh_n the_o side_n mh_o be_v always_o the_o same_o be_v the_o distance_n of_o the_o foci_fw-la the_o other_o two_o side_n mb_a and_o hb_n be_v together_o equal_a to_o ap._n now_o then_o if_o you_o continue_v the_o side_n mb_n till_o be_v be_v equal_a to_o bh_n and_o draw_v the_o line_n he_o in_o the_o right_n line_v triangle_n meh_n we_o have_v give_v i_o =_o ad_fw-la and_o mh_o with_o the_o angle_n emh_o to_o find_v the_o angles_n meh_n and_o mhe_n which_o in_o this_o case_n be_v equal_a because_o ebb_v =_o bh_n by_o contraction_n and_o therefore_o the_o double_a of_o beh_n or_o bhe_n =_o mbh_n which_o be_v the_o angle_n require_v and_o that_o which_o yet_o remain_v to_o be_v do_v be_v the_o find_v the_o place_n of_o the_o aphelion_n the_o true_a excentricity_n or_o distance_n of_o the_o umbilique_a point_n and_o the_o state_v of_o the_o planet_n middle_a motion_n chap._n x._o of_o the_o find_n of_o the_o sun_n apogeon_n quantity_n of_o excentricity_n aend_v middle_a motion_n the_o place_n of_o the_o sun_n apogaeon_fw-mi and_o quantity_n of_o excentricity_n may_v from_o the_o observation_n of_o our_o country_n man_n mr._n edward_n wright_n be_v obtain_v in_o this_o manner_n in_o the_o year_n 1596_o and_o 1497_o the_o sun_n entrance_n into_o ♈_o and_o ♎_o and_o into_o the_o midst_n of_o ♉_o ♌_o â™_o and_o â™’_o be_v as_o in_o the_o table_n follow_v express_v  _fw-fr 1596_o 1597_o  _fw-fr  _fw-fr d._n h._n m._n d._n h._n m._n  _fw-fr january_n 25._o 00.07_o 24._o 05.54_o â™’_o 15_o march_n 9_o 18.43_o 10._o 00.37_o ♈_o 0_o april_n 24._o 21.47_o 25._o 03.54_o ♉_o 15_o july_n 28._o 01.43_o 28._o 09.56_o ♌_o 15_o september_n 12._o 13.48_o 12._o 19.15_o ♎_o 0_o october_n 27._o 15.23_o 27._o 21.50_o â™_o 15_o and_o hence_o the_o sun_n continuance_n in_o the_o northern_a semicircle_n from_o ♈_o to_o ♎_o in_o the_o year_n 1596_o be_v leap_v year_n be_v thus_o find_v  _fw-fr d._n h._n from_o the_o 1._o of_o january_n to_o ☉_o entrance_n ♎_o 256._o 13._o 48._o from_o the_o 1._o of_o jun_n to_o ☉_o entrance_n ♈_o 69._o 18.43_o their_o difference_n 186._o 19.05_o in_o the_o year_n 1597_o from_o the_o 1_o of_o january_n to_o the_o time_n of_o the_o ☉_o entrance_n into_o ♎_o 255._o 19.15_o to_o the_o ☉_o entrance_n into_o ♈_o 69._o 09.37_o their_o difference_n be_v 186._o 18.38_o and_o the_o difference_n of_o the_o sun_n continuance_n in_o these_o ark_n in_o the_o year_n 1596_o and_o 1597_o be_v 27′_n and_o therefore_o the_o mean_a time_n of_o his_o continuance_n in_o those_o ark_n be_v day_n 186._o hour_n 18._o minute_n 51._o second_o 30._o and_o by_o consequence_n his_o continuance_n in_o the_o southern_a semicircle_n that_o be_v from_o ♎_o to_o ♈_o be_v 178_o day_n 11_o hour_n 8_o minute_n and_o 30_o second_n in_o like_a manner_n in_o the_o year_n 1596_o between_o his_o entrance_n into_o ♉_o 15._o and_o â™_o 15_o there_o be_v day_n 185._o 17.36_o and_o in_o the_o year_n 1597_o there_o be_v day_n 185._o 17.56_o and_o to_o find_v the_o middle_a motion_n answer_v to_o day_n 186._o hour_n 18._o minute_n 51._o second_o 30_o i_o say_v as_o 365_o day_n 6_o hour_n the_o length_n of_o the_o julian_n year_n be_v to_o 360_o the_o degree_n in_o a_o circle_n so_o be_v 186_o day_n 18_o hour_n 51′_n 30″_n to_o 184_o degree_n 03′_n 56″_n in_o like_a manner_n the_o mean_a motion_n answer_v to_o 185_o day_n 17_o h._n 46′_n be_v 183_o degree_n 02′_n 09_o apparent_a motion_n from_o ♈_o to_o ♎_o 180._o 00.00_o middle_a motion_n 184._o 03.56_o their_o sum_n 364._o 03.56_o half_a sum_n be_v the_o arch._n sme_o 182._o 01.58_o in_o 1596_o from_o 15_o â™’_o to_o 15_o ♌_o there_n be_v day_n 185_o hour_n 01_o minute_n 36._o in_o 1597._o day_n 135._o hour_n 4._o 02′_n and_o the_o mean_a motion_n answer_v thereunto_o be_v 182_o d._n 30′_n 36″_n apparent_a motion_n from_o 15_o ♉_o to_o 15_o â™_o 180._o middle_a motion_n 185._o 17._o 56._o 181._o 04.53_o half_a sum_n be_v 183._o 32._o 26_o from_o 15_o â™’_o to_o 15_o ♌_o days_n 185._o 04_o h._n 02′_n apparent_a motion_n 180._o middle_a motion_n 182._o 30._o 36_o half_a sum_n 181._o 15._o 18_o now_o then_o in_o fig._n from_o pgc._n 181._o 32._o 26_o deduct_v nkd_v 180_o the_o remainder_n be_v dc+np_n 1._o 32._o 26._o therefore_o dc_o or_o np._n 46._o 13_o who_o sine_fw-la be_v ha._n and_o from_o xpg._n 181._o 15._o 18_o deduct_v
aphelion_n for_o one_o day_n viz._n 0._o 00001._o 3014917_o by_o 53245_o the_o product_n be_v 0._o 69297._o 9255665_o which_o be_v deduct_v from_o the_o place_n of_o the_o aphelion_n in_o the_o begin_n of_o the_o christian_a aera_fw-la before_o find_v 18._o 97946._o 9494841._o the_o remainder_n 18._o 28649._o 0239176_o be_v the_o place_n of_o the_o aphelion_n at_o the_o time_n of_o the_o observation_n that_o be_v in_o sexagenary_a number_n deg_n 65._o 49′_n 53″_n 5._o the_o place_n of_o the_o aphelion_n at_o the_o time_n of_o the_o observation_n be_v thus_o find_v to_o be_v deg_n 65._o 49′_n 53″_n the_o sun_n mean_a longitude_n at_o that_o time_n may_v be_v thus_o compute_v in_o fig._n 8._o in_o the_o triangle_n emh_o we_o have_v give_v the_o side_n i_o 200000_o the_o side_n mh_o 3576_o the_o double_a excentricity_n before_o find_v and_o the_o angle_n emh_o 114._o 10′_n 07″_n the_o compliment_n of_o the_o aphelion_n to_o a_o semicircle_n to_o find_v the_o angle_n meh_n for_o which_o 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5_o h._n 29′_n mr._n tho._n street_n 5_o h._n 49′_n 01″_n take_v therefore_o the_o tropical_a year_n to_o consist_v of_o 365_o day_n 5_o hour_n 49_o minute_n the_o sun_n mean_a motion_n for_o one_o day_n be_v 0_o deg_n 59′_n 8″_n 19‴_n 43_o four_o 47_o v._n 21_o vi_fw-la 29_o seven_o 23_o viij_o or_o in_o decimal_a number_n the_o whole_a circle_n be_v divide_v into_o 100_o degree_n the_o ☉_o daily_a motion_n be_v 0._o 27379._o 08048._o 11873._o 6._o the_o sidereal_a or_o starry_a year_n be_v find_v from_o the_o solar_a by_o add_v the_o annual_a motion_n of_o the_o eight_o orb_n or_o praecession_n of_o the_o aequinoctial_a point_n thereunto_o that_o praecession_n be_v first_o convert_v into_o time_n 7._o now_o the_o motion_n of_o the_o fix_a star_n be_v find_v to_o be_v about_o 50″_n in_o a_o year_n time_n as_o mr._n wing_n have_v collect_v from_o the_o several_a observation_n of_o timocharis_n hipparchus_n tycho_n and_o other_o and_o to_o show_v the_o manner_n of_o this_o collection_n 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aequinoctial_a point_n or_o longitude_n of_o any_o fix_a star_n you_o must_v add_v or_o subtract_v the_o motion_n thereof_o from_o the_o time_n of_o the_o observation_n to_o the_o time_n give_v to_z or_o from_o the_o place_n give_v by_o observation_n and_o you_o have_v your_o desire_n example_n the_o place_n of_o the_o first_o star_n in_o aries_n find_v by_o tycho_n in_o the_o year_n 1601_o current_n be_v in_o ♈_o 27_o d._n 37′_n 00._o and_o i_o will_v know_v the_o place_n thereof_o in_o the_o begin_n of_o the_o christian_a aera_fw-la the_o motion_n of_o the_o fix_a star_n for_o 1600_o year_n 22_o d._n 13′_n 20″_n which_o be_v deduct_v from_o the_o place_n find_v by_o observe_v 27._o 37._o 00_o the_o remainder_n 5._o 231._o 40_o be_v the_o place_n thereof_o in_o the_o begin_n of_o the_o christian_a aera_fw-la 12._o have_v thus_o find_v the_o ☉_o middle_a motion_n the_o motion_n of_o the_o aphelion_n and_o fix_v star_n with_o their_o place_n in_o the_o begin_n of_o the_o christian_a aera_fw-la we_o will_v now_o set_v down_o the_o number_n here_o exhibit_v aera_fw-la christi_fw-la mr._n wing_n from_o the_o like_a observation_n take_v the_o ☉_o motion_n to_o be_v as_o follow_v the_o ☉_o mean_a longitude_n 9_o 8._o 00._o 31_o place_n of_o aphelion_n 2._o 8._o 20._o 03_o the_o anomaly_n 06._o 29._o 40._o 28_o the_o which_o in_o decimal_a number_n be_v the_o ☉_o mean_a longitude_n 77._o 22460._o 86419_o place_n of_o the_o aphelion_n 18._o 98171._o 29629_o the_o anomaly_n 58._o 24289._o 56790_o the_o mean_a motion_n for_o one_o year_n the_o ☉_o mean_a longitude_n 99_o 93364._o 37563._o 34_o the_o aphelion_n 00._o 00475._o 04447._o 05_o the_o ☉_o mean_v anomaly_n 99_o 92889._o 33116._o 29_o the_o ☉_o mean_z motion_n for_o one_o day_n the_o ☉_o mean_a longitude_n 00._o 27379._o 08048._o 11_o the_o aphelion_n 00._o 00001._o 30149._o 17_o the_o mean_a anomaly_n 00._o 27377._o 77898._o 94_o and_o according_a to_o these_o measure_n be_v the_o table_n make_v show_v the_o ☉_o mean_a longitude_n and_o anomaly_n for_o year_n month_n day_n and_o hour_n chap._n xii_o the_o sun_n mean_v motion_n otherwise_o state_v some_o there_o be_v in_o our_o present_a age_n that_o will_v not_o allow_v the_o aphelion_n to_o have_v any_o motion_n or_o alteration_n but_o what_o proceed_v from_o the_o motion_n of_o the_o fix_a star_n the_o which_o as_o have_v be_v show_v do_v move_v 50_o second_n in_o a_o year_n and_o hence_o the_o place_n of_o the_o first_o star_n in_o aries_n in_o the_o begin_n of_o the_o christian_a aera_fw-la be_v find_v to_o be_v ♈_o 5._o 23d._o 40._o now_o then_o if_o from_o the_o place_n of_o the_o aphelion_n anno_fw-la christi_fw-la 1652_o as_o be_v show_v in_o the_o ten_o chapter_n deg_n 96._o 33′_n 39_o we_o deduct_v the_o motion_n of_o the_o fix_a star_n for_o that_o time_n 28._o 19_o 12._o the_o remainder_n 68_o 14._o 27_o be_v the_o constant_a place_n of_o the_o aphelion_n but_o mr._n street_n in_o his_o astronomia_fw-la carolina_n page_n 23_o make_v the_o constant_a place_n of_o the_o aphelion_n to_o be_v 68d._o 20._o 00_o and_o the_o ☉_o excentricity_n 1732._o the_o place_n of_o the_o sun_n observe_v ♈_o 0._o 33._o 19_o the_o praecession_n of_o aequinox_n 0._o 27._o 27._o 22_o the_o earth_n sidereal_a longitude_n 5._o 03._o 05._o 57_o the_o place_n of_o the_o aphelion_n subtract_v 8._o 08._o 20._o 00_o the_o earth_n true_a anomaly_n 8._o 24._o 45._o 57_o aequation_n subtract_v 1._o 58._o 47_o the_o remainder_n be_v the_o estimate_n m._n anom_n 8._o 22._o 47._o 10_o aequation_n answer_v thereto_o add_v 1._o 58._o 27_o the_o earth_n true_a anomaly_n 8._o 24._o 45._o 37_o the_o place_n of_o the_o aphelion_n 8._o 08._o 20._o 00_o praecession_n of_o the_o aequinox_n 0._o 27._o 27._o 22_o place_n of_o the_o sun_n ♈_o 00._o 32._o 59_o but_o the_o place_n by_o observation_n ♈_o 00._o 33._o 19_o the_o difference_n be_v 001._o 001._o 20_o which_o be_v add_v to_o the_o mean_a anom_n 8._o 22._o 47._o 10_o the_o mean_a anomaly_n be_v 8._o 22._o 47._o 30_o the_o absolute_a aequation_n 1._o 58._o 27_o the_o true_a anomaly_n 8._o 24._o 45._o 57_o agree_v with_o observation_n  _fw-fr and_n so_o the_o mean_a anomaly_n aera_fw-la christi_fw-la be_v 6._o 23._o 19_o 56._o but_o mr._n flamsted_n according_a to_o who_o measure_n the_o ensue_a table_n be_v compose_v take_v the_o mean_a anomaly_n aera_fw-la christi_fw-la to_o be_v 6._o 24._o 07._o 091._o the_o place_n of_o the_o aphelion_n to_o be_v 8_o 08._o 23._o 50._o and_o so_o the_o praecession_n of_o the_o aequinox_n and_o aphelion_n in_o the_o begin_n of_o the_o christian_a aera_fw-la 8_o 13._o 47._o 30._o in_o decimal_a number_n aera_fw-la christi_fw-la the_o sun_n mean_a anomaly_n 56._o 69976._o 85185_o the_o sun_n apogaeon_fw-mi and_o praec_fw-la aeq._n 20._o 49768._o 51851_o the_o ☉_o mean_z motion_n for_o one_o year_n the_o ☉_o mean_a longitude_n 99_o 93364._o 37563._o 34_o the_o praecession_n of_o aequin_n 00385._o 80246._o 91_o the_o ☉_o mean_n anomal_n 99_o 92978._o 57316._o 43_o the_o ☉_o mean_z motion_n for_o one_o day_n the_o ☉_o mean_a longitude_n 00._o 27379._o 08048._o 11_o the_o praecession_n of_o aequi_n 00._o 00001._o 05699._o 30_o the_o ☉_o mean_v anom_n 00._o 27378._o 02348._o 81_o chap._n xiii_o how_o to_o calculate_v the_o sun_n true_a place_n by_o either_o of_o the_o table_n of_o middle_a motion_n write_v out_o the_o epocha_n next_o before_o the_o give_v time_n and_o several_o under_o that_o set_v the_o motion_n belong_v to_o the_o year_n month_n and_o day_n complete_a to_o the_o hour_n scruple_n current_n every_o one_o under_o his_o like_a only_o remember_v that_o in_o the_o bissextile_a year_n after_o the_o end_n of_o frebruary_n
the_o day_n must_v be_v increase_v by_o a_o unite_v then_o add_v all_o together_o the_o sum_n shall_v be_v the_o ☉_o mean_a motion_n for_o the_o time_n give_v example_n let_v the_o give_v time_n be_v anno_fw-la christi_fw-la 1672._o february_n 23._o hour_n 11._o 34′_n 54″_n by_o the_o table_n of_o the_o ☉_o mean_a longitude_n and_o anomaly_n the_o number_n be_v as_o follow_v  _fw-fr  _fw-fr m._n longitud_n m._n anomal_n the_o epocha_n 1660_o 80._o 67440._o 53.79815_o year_n 11_o 99_o 81766._o 99.76526_o january_n  _fw-fr 08._o 48751._o 08.48711_o day_n 23_o 06._o 29718._o 06.29688_o hour_n 11_o 00._o 12548._o 00.12548_o  _fw-fr 34_o 00._o 00646._o 00.00646_o  _fw-fr 54_o 00._o 00017._o 00.00017_o  _fw-fr  _fw-fr 95._o 40886._o 68.47951_o by_o the_o table_n of_o the_o sun_n mean_a anomaly_n and_o praecession_n of_o the_o aequinox_n the_o number_n be_v these_o  _fw-fr  _fw-fr anomaly_n praece_n aequi_n the_o epocha_n 1660_o 53._o 76721._o 26.90200_o year_n 11_o 99_o 77520._o 00.04243_o january_n  _fw-fr 8._o 48718._o 00032_o day_n 23_o 6._o 29694._o 00024_o hour_n 11_o 0._o 12548._o 26.94499_o  _fw-fr 34′_n .00646_o 68.45882_o  _fw-fr 54″_n .00035_o 95.40381_o ☉_o mean_n anomaly_n  _fw-fr 68.45882_o  _fw-fr there_o be_v no_o great_a difference_n between_o the_o ☉_o mean_a longitude_n and_o anomaly_n find_v by_o the_o table_n of_o mean_a longitude_n and_o anomaly_n and_o that_o find_v by_o the_o table_n of_o mean_a anomaly_n and_o precession_n of_o the_o aequinox_n the_o method_n of_o find_v the_o elliptical_a aequation_n be_v the_o same_o in_o both_o we_o will_v instance_n in_o the_o latter_a only_o in_o which_o the_o ☉_o mean_a anomaly_n be_v degree_n 68_o 45882._o and_o the_o precession_n of_o aequin_n deg_n 26._o 94499._o but_o because_o there_o be_v no_o canon_n of_o sines_n and_o tangent_n as_o yet_o publish_v suitable_a to_o this_o division_n of_o the_o circle_n into_o a_o 100_o deg_n or_o part_n we_o must_v first_o convert_v the_o ☉_o mean_a anomaly_n and_o prec_fw-la of_o of_o the_o aequin_n give_v into_o the_o degree_n and_o part_n of_o the_o common_a circle_n and_o this_o may_v be_v do_v either_o into_o degree_n and_o decimal_a part_n of_o a_o degree_n or_o into_o deg_n and_o minute_n if_o it_o be_v require_v to_o be_v do_v into_o degree_n and_o minute_n the_o table_n here_o exhibit_v for_o that_o purpose_n will_v serve_v the_o turn_n but_o if_o it_o be_v require_v to_o be_v do_v into_o degree_n and_o decimal_a part_n i_o judge_v the_o follow_a method_n to_o be_v more_o convenient_a multiply_v the_o degree_n and_o part_n give_v by_o 36_o the_o product_n if_o you_o cut_v off_o one_o figure_n more_o towards_o the_o right_a hand_n than_o there_o be_v part_n in_o the_o number_n give_v shall_v be_v the_o degree_n and_o part_n of_o the_o common_a circle_n anomaly_n 68_o 45882_o praec_fw-la aequinox_n 26._o 94499_o 36_o  _fw-fr 36_o 41075292_o  _fw-fr 16166994_o 20537646_o  _fw-fr 8983497_o anom_n 246._o 451752_o  _fw-fr prae._n aeq._n 97._o 001964_o and_o if_o you_o multiply_v the_o part_n of_o these_o product_n you_o will_v convert_v they_o into_o minute_n otherwise_o thus_o multiply_v the_o degree_n and_o part_n give_v by_o 6_o continual_o the_o second_o product_n if_o you_o cut_v off_o one_o figure_n more_o towards_o the_o right_a hand_n than_o be_v part_n in_o the_o number_n give_v shall_v be_v the_o degree_n and_o part_n of_o the_o common_a circle_n the_o three_o product_n of_o the_o part_n only_o shall_v give_v minute_n the_o four_o second_v and_o so_o forward_o as_o far_o as_o you_o please_v example_n ☉_o mean_a anom_n 68_o 45882_o praec_fw-la aeq._n 26._o 94499_o 6_o 6_o 41075292_o 16166994_o 246.451752_o 97.001964_o 6_o 6_o 27.10512_o 0.11784_o 6_o 6_o 6.3072_o 7.0704_o and_o thus_o the_o mean_a anom_n be_v deg_n 246._o 451742_o or_o 27′_n 06._o the_o prec_n aeq._n 97._o 001964._o or_o 00′_n 07″_n hence_o to_o find_v the_o elliptical_a aequation_n in_o degree_n and_o decimal_a part_n in_o fig._n 8._o we_o have_v give_v in_o the_o right_n line_v plain_a triangle_n emh_o the_o side_n i_o and_o mh_o and_o the_o angle_n emh_o 66._o 451742._o the_o excess_n of_o the_o mean_a anomaly_n above_o a_o semicircle_n to_o find_v the_o angle_n meh_n the_o side_n menander_n 200000_o the_o side_n mh_o 3468_o zcru_a 203468_o co._n be_v 4.69150389_o xcru_n 196532_o  _fw-fr 5.29343327_o t_o frac12_n zangle_n 56.774129_o  _fw-fr 10.18374097_o t_o frac12_n xangle_n 55.857087_o  _fw-fr 10.16867813_o meh_n 0._o 917042_o the_o double_a whereof_o be_v the_o angle_n mbh_n 1._o 834084_o or_o elliptic_a aequation_n seek_v which_o be_v add_v to_o the_o mean_a anomaly_n and_o praecession_n of_o the_o aequinox_n because_o the_o anomaly_n be_v more_o than_o a_o semicircle_n the_o same_o be_v the_o sun_n true_a place_n the_o ☉_o mean_a anomaly_n 246.451742_o the_o praecession_n of_o the_o aequinox_n 97.001964_o elliptic_a aequation_n 1.834084_o the_o sun_n true_a place_n 345.287790_o but_o because_o the_o elliptic_a aequation_n thus_o find_v do_v not_o so_o exact_o agree_v to_o observation_n as_o be_v desire_v bullialdus_n in_o chap._n 3._o of_o his_o book_n entitle_v astronomiae_n philolaicae_n fundamenta_fw-la clarius_fw-la explicata_fw-la print_v at_o paris_n 1657._o show_n how_o to_o correct_v the_o same_o by_o a_o angle_n apply_v to_o the_o focus_n of_o middle_a motion_n subtend_v by_o the_o part_n of_o the_o ordinate_a line_n intercept_v between_o the_o ellipsis_n and_o the_o circle_n circumscribe_v it_o this_o mr._n street_n make_v use_v of_o in_o his_o astronomia_fw-la carolina_n and_o this_o i_o think_v not_o amiss_o to_o add_v here_o xn_n gx_fw-fr ∷_o ob_fw-la tang_n oeb._n om_o tang_n oem._n and_o the_o angle_n oem-oeb_a =_o bem_n =_o ety_n the_o variation_n to_o be_v deduct_v from_o the_o elliptic_a aequation_n eth_n the_o remainder_n be_v the_o absolute_a aequation_n yt_v in_o the_o first_o quadrant_n in_o the_o second_o and_o three_o quadrant_n the_o variation_n or_o difference_n between_o the_o mean_a and_o correct_a anomaly_n must_v be_v add_v to_o the_o elliptic_a aequation_n to_o find_v the_o true_a and_o absolute_a aequation_n for_o xn_v xg_n qu._n tang_n qeu._n the_o comp_n m._n anom_n qr_n t._n qer._n and_o the_o angle_n ver_n =_o eco_fw-it be_v the_o variation_n and_o eco+ech_v =_o och_n be_v the_o absolute_a aequation_n seek_v in_o the_o second_o quadrant_n again_o xn_n sg_n ∷_o a_fw-fr d_o tang_n a_o ed._n a_o b_o tang_n aeb_fw-mi and_o aeb_n aed_n =_o def_n the_o variation_n =_o efo_n and_o efo+efh_v =_o ofh_n the_o absolute_a aequation_n seek_v in_o the_o three_o quadrant_n last_o in_o the_o four_o quadrant_n of_o mean_a anomaly_n it_o be_v xn_n xg_n ∷_o ch_z tang_n eeh._o egg_n tang_n efg._n and_o hag_n be_v the_o variation_n and_o efh_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d =_z 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d the_o absolute_a aequation_n seek_v in_o the_o four_o quadrant_n and_o to_o find_v xn_v the_o conjugate_v semi-diameter_n in_o the_o right_a angle_a triangle_n enx_n we_o have_v give_v en_fw-fr =_o axe_n and_o exit_fw-la the_o semidistance_n of_o the_o umbilick_a point_n and_o mr._n briggs_n in_o chap._n 19_o of_o his_o arithm._n logar_n have_v show_v that_o the_o half_a sum_n of_o the_o logarith_n of_o the_o sum_n and_o difference_n of_o the_o hypotenuse_n and_o the_o give_v leg_n shall_v be_v the_o logarith_n of_o the_o other_o leg_n now_o than_o en_fw-fr =_o ax._n 100000_o  _fw-fr  _fw-fr the_o leg_n exit_fw-la 1734_o  _fw-fr their_a sum_n 101734_o 5.00745001_o their_o difference_n 98266_o 4.99240328_o  _fw-fr the_n z_o of_o the_o logarithm_n 9.99985329_o  _fw-fr frac12_n z._n logarith_n xn_n 99983_o 4.99992664_o now_o then_o in_o the_o former_a example_n the_o mean_a anomaly_n be_v 246_o deg_n 451741._o and_o the_o excess_n above_o a_o semicircle_n be_v the_o ang_fw-mi aed_n 66._o 451742._o therefore_o as_o xn_v 99983_o 4.99992664_o be_v to_o xg_n 100000_o 5.00000000_o so_o be_v the_o tang_n aed_n 66.451742_o 10.36069857_o to_o the_o tang_n aeb_n 66.455296_o 10.36077193_o aeb_n aed_n =_o def_n .003544_o the_o variation_n which_o be_v add_v to_o the_o elliptic_a aequation_n before_o find_v the_o absolute_a aequation_n be_v 1._o 837628._o and_o therefore_o the_o ☉_o true_a place_n 345._o 291334._o that_o be_v x._o 15._o 17._o 28._o chap._n fourteen_o to_o find_v the_o place_n of_o the_o fix_a star_n example_n let_v the_o give_v time_n be_v 1500_o the_o difference_n of_o time_n be_v 100_o year_n and_o the_o motion_n of_o the_o fix_a star_n for_o 100_o year_n be_v 0._o 38580._o the_o place_n of_o the_o 1_o *_o in_o ♈_o 1600_o 7.67129_o motion_n for_o 100_o year_n subtract_v 0.38580_o place_n require_v in_o the_o year_n 1500_o 7.28549_o 2._o example_n let_v the_o time_n give_v be_v 1674._o the_o place_n of_o the_o first_o star_n in_o ♈_o 1600_o be_v 7.67129_o motion_n for_o 60_o year_n be_v 0.23148_o motion_n for_o 14_o year_n be_v
earth_n contain_v between_o three_o parallel_n the_o middlemoâ—_n whereof_o divide_v it_o into_o two_o equal_a part_n serve_v for_o the_o set_n out_o the_o length_n and_o shortness_n of_o the_o day_n in_o every_o country_n 10._o these_o climate_n and_o the_o parallel_n by_o which_o they_o be_v contain_v be_v none_o of_o they_o of_o equal_a quantity_n for_o the_o first_o clime_n as_o also_o the_o parallel_n beginning_n at_o the_o aequator_fw-la be_v large_a than_o the_o second_o and_o the_o second_o be_v likewise_o great_a than_o the_o three_o 11._o the_o ancient_n reckon_v but_o seven_o climate_n at_o the_o first_o to_o which_o number_n there_o be_v afterward_o add_v two_o more_o so_o that_o in_o the_o first_o of_o these_o number_n be_v comprehend_v fourteen_o parallel_n but_o in_o the_o latter_a eighteen_o 12._o ptolemy_n account_v the_o parallel_n 38_o each_o way_n from_o the_o equator_fw-la that_o be_v 38_o towards_o the_o north_n and_o as_o many_o towards_o the_o south_n 24_o of_o which_o he_o reckon_v by_o the_o difference_n of_o one_o quarter_n of_o a_o hour_n 4_o by_o the_o difference_n of_o half_a a_o hour_n 4_o by_o a_o whole_a hour_n difference_n and_o 6_o by_o a_o month_n difference_n but_o now_o the_o parallel_n be_v reckon_v by_o the_o difference_n of_o a_o quarter_n of_o a_o hour_n the_o climate_n be_v 24_o in_o number_n till_o you_o come_v to_o the_o latitude_n of_o 66_o degree_n 31_o minute_n to_o which_o be_v afterward_o add_v 6_o climate_n more_o unto_o the_o pole_n itself_o where_o the_o artificial_a day_n be_v 6_o month_n in_o length_n 13._o the_o distance_n of_o all_o both_o climate_n and_o parallel_n together_o with_o their_o latitude_n from_o the_o aequator_fw-la and_o difference_n of_o the_o quantity_n of_o the_o long_a day_n be_v here_o full_o express_v in_o the_o table_n follow_v a_o table_n of_o the_o climate_n belong_v to_o the_o three_o sort_n of_o inhabitant_n inhabitant_n belong_v to_o the_o several_a clime_n clime_n parallel_n 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charles_n the_o five_o as_o it_o stand_v now_o divide_v between_o the_o spaniard_n and_o the_o state_n it_o contain_v the_o province_n of_o 1._o flanders_n 2._o artois_n 3._o hainault_n 4._o the_o bishopric_n of_o cambray_n 5._o namur_n 6._o luxemburg_n 7._o limbourg_n 8._o luyckland_n or_o the_o bishopric_n of_o liege_n 9_o brabant_n 10._o marquisate_n 11._o meohlin_n the_o rest_n of_o the_o netherlands_o which_o have_v now_o for_o sometime_o withdraw_v their_o obedience_n from_o the_o king_n of_o spain_n be_v 1._o holland_n 2._o zealand_n 3._o west-friezeland_a 4._o vtrecht_n 5._o overyssel_a 6._o gelderland_n 7._o zutphen_n 8._o groening_n 23._o germany_n be_v bound_v on_o the_o east_n with_o prussia_n poland_n and_o hungary_n on_o the_o west_n with_o france_n switzerland_n and_o belgium_n on_o the_o north_n with_o the_o baltic_a sea_n the_o ocean_n and_o some_o part_n of_o denmark_n on_o the_o south_n with_o the_o alps_o which_o part_n it_o from_o italy_n 24._o the_o length_n from_o east_n to_o west_n that_o be_v from_o the_o vistula_n or_o weissel_n to_o the_o rhine_n be_v estimate_v at_o 840_o italian_a mile_n the_o breadth_n from_o north_n to_o south_n that_o be_v from_o the_o ocean_n to_o the_o town_n of_o brixen_n in_o tyrol_n 740_o of_o the_o same_o mile_n so_o that_o the_o figure_n of_o it_o be_v near_o a_o square_n it_o may_v take_v up_o 3160_o mile_n in_o compass_n or_o thereabouts_o situate_v in_o the_o northern_a temperate_a zone_n between_o the_o middle_a parallel_n of_o the_o six_o and_o ten_o climate_n the_o long_a day_n in_o the_o most_o southern_a part_n be_v 15_o hour_n and_o a_o half_a and_o in_o the_o most_o northern_a 17_o hour_n and_o a_o quarter_n 25._o the_o principal_a part_n of_o this_o great_a continent_n be_v 1._o cleveland_n 2._o the_o estate_n of_o the_o three_o spiritual_a elector_n colen_n â—â—â—ntz_n and_o trier_n 3._o the_o palatinate_n of_o the_o rhine_n 4._o alsatia_n 5._o lorraine_n 6._o suevia_n or_o schwaben_n 7._o bavaria_n 8._o austria_n and_o its_o appendix_n 9_o the_o confederation_n of_o waderaw_n 10._o franconia_n 11._o wirtenberg_n 12._o baden_n 13._o the_o palatinate_n of_o northgoia_n or_o the_o upper_a palatinate_n 14._o bohemia_n and_o the_o incorporate_v province_n 15._o pomerania_n 16._o mecklenburg_n 17._o the_o marquisate_n of_o brandenburg_n 18._o saxony_n and_o the_o member_n of_o it_o 19_o the_o dukedom_n of_o brunswick_n and_o lunenburg_n 20._o the_o lantgravedom_n of_o hassia_n 21._o westphalen_n 22._o east-friezeland_a 26._o denmark_n or_o danemark_n reckon_v in_o the_o addition_n of_o the_o dukedom_n of_o holstein_n and_o the_o great_a continent_n of_o norway_n with_o the_o isle_n thereof_o now_o all_o unite_a and_o incorporate_v into_o one_o estate_n be_v bound_v on_o the_o east_n with_o the_o baltic_a sea_n and_o some_o part_n of_o sweden_n on_o the_o west_n with_o the_o main_a western_a ocean_n on_o the_o north-east_n with_o a_o part_n of_o sweden_n full_a north_n with_o the_o main_a freeze_a sea_n and_o on_o the_o south_n with_o germany_n from_o which_o it_o be_v divide_v on_o the_o south-west_n by_o the_o river_n albis_n and_o on_o the_o southeast_n by_o the_o trave_n a_o little_a isthmus_n or_o neck_n of_o land_n unite_n it_o to_o the_o continent_n 27._o it_o lie_v partly_o in_o the_o northern_a temperate_a zone_n and_o partly_o within_o the_o arctic_a circle_n extend_v from_o the_o middle_a parallel_n of_o the_o ten_o clime_n or_o 55_o degree_n of_o latitude_n where_o it_o join_v with_o germany_n as_o far_o as_o the_o 71_o degree_n where_o it_o have_v no_o other_o bind_v but_o the_o freeze_a ocean_n by_o which_o account_n the_o long_a day_n in_o the_o most_o southern_a part_n be_v 17_o hour_n and_o a_o quarter_n but_o in_o the_o part_n extreme_o north_n they_o have_v no_o night_n for_o
two_o whole_a month_n three_o week_n one_o day_n and_o about_o seven_o hour_n as_o on_o the_o other_o side_n no_o day_n for_o the_o like_a quantity_n of_o time_n when_o the_o sun_n be_v most_o remote_a from_o they_o in_o the_o other_o tropic_a 28._o the_o whole_a body_n of_o the_o estate_n consist_v chief_o of_o three_o member_n viz._n 1._o the_o dukedom_n of_o holstein_n contain_v waggerland_n dilmarsh_n starmaria_n and_o holstein_n especial_o so_o call_v 2._o the_o kingdom_n of_o denmark_n comprehend_v both_o juitlands_n part_n of_o scandia_n and_o the_o hemode_n or_o baltic_a island_n 3._o the_o kingdom_n of_o norway_n consist_v of_o norway_n itself_o and_o the_o island_n of_o the_o northern_a ocean_n 29._o swethland_n be_v bound_v on_o the_o east_n with_o muscovy_n on_o the_o west_n with_o the_o doferine_n hill_n which_o divide_v it_o from_o norway_n on_o the_o north_n with_o the_o great_a freeze_a ocean_n speak_v of_o before_o on_o the_o south_n with_o denmark_n liefland_n and_o the_o baltic_a sea_n 30._o it_o be_v situate_a under_o the_o same_o parallel_n and_o degree_n with_o norway_n that_o be_v from_o the_o first_o parallel_n of_o the_o 12_o clime_n where_o the_o pole_n be_v elevate_v 58_o degree_n 26_o minute_n as_o far_o as_o to_o the_o 71_o degree_n of_o latitude_n by_o which_o account_n the_o long_a day_n in_o the_o southern_a point_n be_v but_o 18_o hour_n whereas_o on_o the_o far_a north_n of_o all_o the_o country_n they_o have_v no_o night_n for_o almost_o three_o whole_a month_n together_o 31._o the_o whole_a kingdom_n be_v divide_v into_o two_o part_n the_o one_o lie_v on_o the_o east_n the_o other_o on_o the_o west_n of_o the_o bay_n or_o gulf_n of_o bodener_n be_v a_o large_a and_o spacious_a branch_n of_o the_o baltic_a sea_n extend_v from_o the_o most_o southerly_a point_n of_o gothland_n as_o far_o as_o to_o lapland_n on_o the_o north._n according_a to_o which_o division_n we_o have_v the_o province_n of_o 1._o gothland_n 2._o sweden_n lie_v on_o the_o west_n side_n of_o the_o gulf_n 3._o lapland_n shut_v it_o up_o upon_o the_o north._n 4._o bodia_n or_o bodden_n 5._o finland_n on_o the_o east_n side_n thereof_o 6._o the_o sweedish_a island_n where_o it_o mingle_v with_o the_o rest_n of_o the_o baltic_a sea_n 32._o russia_n be_v bound_v on_o the_o east_n by_o tartary_n on_o the_o west_n with_o livonia_n and_o finland_n from_o which_o it_o be_v divide_v by_o great_a mountain_n and_o the_o river_n poln_n on_o the_o north_n by_o the_o freeze_a ocean_n and_o some_o part_n of_o lapland_n and_o on_o the_o south_n by_o lituania_n a_o province_n of_o the_o kingdom_n of_o poland_n and_o the_o crim_n tartar_n inhabit_v on_o the_o bank_n of_o palus_n maeotis_n and_o the_o euxine_a sea_n it_o stand_v partly_o in_o europe_n and_o partly_o in_o asia_n the_o river_n tanais_n or_o don_n run_v through_o it_o the_o common_a boundary_a of_o those_o great_a and_o note_a part_n of_o the_o world_n 33._o it_o be_v situate_a north_n within_o the_o arctic_a circle_n so_o far_o that_o the_o long_a day_n in_o summer_n will_v be_v full_a six_o month_n whereas_o the_o long_a day_n in_o the_o southern_a part_n be_v but_o 16_o hour_n and_o a_o half_a 34._o it_o be_v divide_v into_o the_o province_n of_o 1._o moscovy_n special_o so_o call_v 2._o snolâ—usio_n 3._o masaisky_n 4._o plesco_n 5._o novagrod_v the_o great_a 6._o corelia_n 7._o blarmia_n 8._o petzora_n 9_o condora_n 10_o obdora_n 11._o jugria_n 12._o severia_n 13._o permia_n 14._o rozan_n 15._o wiathka_fw-mi 16._o casau_n 17._o astracan_a 18._o novogordia_fw-la inferior_a 10._o the_o morduit_n or_o mordua_n 20._o worotime_o 21._o tuba_fw-la 22._o wolodomir_n 23._o duina_fw-la 24._o the_o russian_a island_n 35._o poland_n be_v bound_v on_o the_o east_n with_o russia_n and_o the_o crim-tartar_n from_o who_o it_o be_v part_v by_o the_o river_n borysthenes_n on_o the_o west_n with_o germany_n on_o the_o north_n with_o the_o baltic_a sea_n and_o some_o part_n of_o russia_n on_o the_o south_n with_o the_o carpathian_n mountain_n which_o divide_v it_o from_o hungary_n transilvania_n and_o moldavia_n it_o be_v of_o figure_n round_o in_o compass_n 2600_o mile_n situate_a under_o the_o 8_o and_o 12_o climate_n so_o that_o the_o long_a day_n in_o the_o southern_a part_n be_v but_o 16_o hour_n and_o about_o 18_o hour_n in_o the_o part_n most_o north._n 36._o the_o several_a province_n of_o which_o this_o kingdom_n do_v consist_v be_v 1._o livonia_n 2._o samogitia_n 3._o lituania_fw-mi 4._o volkinia_n 5._o podolia_n 6._o russia_n nigra_fw-la 7._o massovia_n 8._o podlassia_n 9_o prussia_n 10._o pomerellia_n 11._o poland_n special_o so_o call_v 37._o hungary_n be_v bound_v on_o the_o east_n with_o transilvania_n and_o walachia_n on_o the_o west_n with_o sterria_n austria_n and_o moravia_n on_o the_o north_n with_o the_o carpathian_n mountain_n which_o divide_v it_o from_o poland_n and_o on_o the_o south_n with_o sclavonia_n and_o some_o part_n of_o dacia_n it_o extend_v in_o length_n from_o presburg_n along_o the_o danow_n to_o the_o border_n of_o transilvania_n for_o the_o space_n of_o 300_o english_a mile_n and_o 190_o of_o the_o same_o mile_n in_o breadth_n 38._o it_o lie_v in_o the_o northern_a temperate_a zone_n betwixt_o the_o middle_a parallel_n of_o the_o 7_o and_o 9_o climate_n so_o that_o the_o long_a summer_n day_n in_o the_o southern_a part_n be_v but_o 15_o hour_n and_o a_o half_a and_o not_o above_o 16_o hour_n in_o the_o part_n most_o north._n 40._o this_o country_n be_v common_o divide_v into_o the_o upper_a hungary_n and_o the_o low_a the_o upper_a lie_v on_o the_o north_n of_o the_o river_n danow_n the_o low_a lie_v on_o the_o south_n of_o that_o river_n comprehend_v all_o pannonia_n inferior_a and_o part_n of_o superior_a and_o be_v now_o possess_v by_o the_o king_n of_o hungary_n and_o the_o great_a turk_n who_o be_v lord_n of_o the_o most_o part_n by_o arm_n and_o conquest_n 04._o sclavonia_n be_v bound_v on_o the_o east_n with_o servia_n macedonia_n and_o epirus_n from_o which_o it_o be_v part_v by_o the_o river_n drinus_fw-la and_o a_o line_n draw_v from_o thence_o unto_o the_o adriatic_a on_o the_o west_n with_o carniola_n in_o germany_n and_o istria_n in_o the_o seignory_n of_o venice_n from_o which_o last_o it_o be_v divide_v by_o the_o river_n arsia_n on_o the_o north_n with_o hungary_n on_o the_o south_n with_o the_o adriatic_a sea_n 41._o it_o be_v situate_a in_o the_o northern_a temperate_a zone_n between_o the_o middle_a parallel_n of_o the_o six_o and_o seven_o climate_n so_o that_o the_o long_a day_n in_o summer_n be_v about_o 15_o hour_n and_o a_o half_a 42._o this_o country_n as_o it_o come_v at_o last_o to_o be_v divide_v between_o the_o king_n of_o hungary_n and_o the_o state_n of_o venice_n be_v distinguish_v into_o 1._o windischland_n 2._o croatia_n 3._o bosnia_n 4._o dalmatia_n 5._o liburnia_n or_o cantado_n di_fw-fr zara_n and_o 6._o the_o sclavonian_a island_n 43._o dacia_n be_v bound_v on_o the_o east_n with_o the_o euxine_a sea_n and_o some_o part_n of_o thrace_n on_o the_o west_n with_o hungary_n and_o sclavonia_n on_o the_o north_n with_o podolia_n and_o some_o other_o member_n of_o the_o realm_n of_o poland_n on_o the_o south_n with_o the_o rest_n of_o thrace_n and_o macedonia_n 44._o it_o lie_v on_o both_o side_n of_o the_o danow_n front_v all_o along_o the_o upper_a and_o the_o low_a hungary_n and_o some_o part_n of_o sclavonia_n extend_v from_o the_o 7_o climate_n to_o the_o 10_o so_o that_o the_o long_a summer_n day_n in_o the_o most_o northern_a part_n thereof_o be_v near_o 17_o hour_n and_o in_o the_o most_o southern_a 15_o hour_n 3_o quarter_n 45._o the_o several_a province_n comprehend_v under_o the_o name_n of_o dacia_n be_v 1._o transilvania_n 2._o moldavia_n 3._o walachia_n 7._o rascia_fw-la 5._o servia_n 6._o bulgaria_n the_o first_o four_o in_o old_a dacia_n on_o the_o north_n side_n of_o the_o danow_n the_o two_o last_o in_o new_a dacia_n on_o the_o south_n thereof_o 45._o greece_n in_o the_o present_a latitude_n and_o extent_n thereof_o be_v bound_v on_o the_o east_n with_o the_o propontick_a hellespont_n and_o aegean_a sea_n on_o the_o west_n with_o the_o adriatic_a on_o the_o north_n with_o mount_n haemus_n which_o part_v it_o from_o bulgaria_n servia_n and_o some_o part_n of_o illyricum_n and_o on_o the_o south_n with_o the_o sea_n ionian_a so_o that_o it_o be_v in_o a_o manner_n a_o peninsula_n or_o demi-island_n environ_v on_o three_o side_n by_o the_o sea_n on_o the_o four_o only_o unite_v to_o the_o rest_n of_o europe_n 46._o it_o be_v situate_a in_o the_o northern_a temperate_a zone_n under_o the_o five_o and_o six_o climate_n the_o long_a day_n be_v 15_o hour_n 47._o in_o this_o country_n former_o so_o famous_a for_o learning_n and_o
must_v look_v upon_o it_o as_o it_o stand_v divide_v into_o arabia_n deserta_fw-la 2._o arabia_n petraea_n 3._o arabia_n felix_n and_o 4._o the_o arabic_a island_n chaldea_n chaldea_n be_v bound_v on_o the_o east_n with_o susiana_n a_o province_n of_o persia_n on_o the_o west_n with_o arabia_n deserta_fw-la on_o the_o north_n with_o mesopotamia_n and_o on_o the_o south_n with_o the_o persian_a bay_n and_o the_o rest_n of_o deserta_fw-la assyria_n assyria_n be_v bound_v on_o the_o east_n with_o media_n from_o which_o it_o be_v part_v by_o the_o mountain_n call_v coathras_n on_o the_o west_n with_o mesopotamia_n from_o which_o it_o be_v divide_v by_o the_o river_n tigris_n on_o the_o south_n with_o susiana_n and_o on_o the_o north_n with_o some_o part_n of_o turcomania_n it_o be_v ancient_o divide_v into_o six_o part_n 1._o arraphachitis_n 2._o adiabene_n 3._o calacine_n 4._o aobelite_n 5._o apolloniates_n mesopotamia_n mesopotamia_n be_v bound_v on_o the_o east_n with_o the_o river_n tigris_n by_o which_o it_o be_v part_v from_o assyria_n on_o the_o west_n with_o euphrates_n which_o divide_v it_o from_o comagena_n a_o province_n of_o syria_n on_o the_o north_n with_o mount_n taurus_n by_o which_o it_o be_v separate_v from_o armenia_n major_a and_o on_o the_o south_n with_o chaldea_n and_o arabia_n deserta_fw-la from_o which_o last_o it_o be_v part_v by_o the_o bend_n of_o euphrates_n also_o it_o be_v ancient_o divide_v into_o 1._o anthemasia_n 2._o chalcitis_n 3._o caulanitis_n 4._o acchabene_n 5._o ancorabitis_fw-la and_o 6._o ingine_n turcomania_n turcomania_n be_v bound_v on_o the_o east_n with_o media_n and_o the_o caspian_a sea_n on_o the_o west_n with_o the_o euxine_a sea_n cappadocia_n and_o armenia_n minor_a on_o the_o north_n with_o tartary_n and_o on_o the_o south_n with_o mesopotamia_n and_o assyria_n a_o country_n which_o consist_v of_o four_o province_n 1._o armenia_n major_a or_o turcomania_n proper_o and_o special_o so_o call_v 2._o colchis_n 3._o iberia_n 4._o albania_n media_fw-la media_n be_v bound_v on_o the_o east_n with_o parthia_n and_o some_o part_n of_o otyrcania_n province_n of_o the_o persian_a empire_n on_o the_o west_n with_o armenia_n major_a and_o some_o part_n of_o assyria_n on_o the_o north_n with_o the_o caspian_a sea_n and_o those_o part_n of_o armenia_n major_n which_o now_o pass_v in_o the_o account_n of_o iberia_n georgia_n and_o on_o the_o south_n with_o persia._n it_o be_v now_o divide_v into_o two_o province_n 1._o atropatia_n 2._o media_fw-la major_n persia._n persia_n be_v bound_v on_o the_o east_n with_o india_n on_o the_o west_n with_o media_n assyria_n and_o chaldea_n on_o the_o north_n with_o tartary_n on_o the_o south_n with_o the_o main_a ocean_n it_o be_v divide_v into_o the_o particular_a province_n of_o 1._o susiana_n 2._o persis_n 3._o ormur_n 4._o carmania_n 5._o gedrosia_n 6._o drangiana_n 7._o arachosia_n 8._o paropamisus_n 9_o aria_n 10._o parthia_n 11._o hyrcania_n 12._o margiana_n and_o 13._o bactria_n tartary_n tartary_n be_v bound_v on_o the_o east_n with_o china_n the_o oriental_a ocean_n and_o the_o strait_o of_o anian_a by_o which_o it_o be_v part_v from_o america_n on_o the_o west_n with_o russia_n and_o podolia_n a_o province_n of_o the_o realm_n of_o poland_n on_o the_o north_n with_o the_o main_a scythick_n or_o freeze_a ocean_n and_o on_o the_o south_n with_o part_n of_o china_n from_o which_o it_o be_v separate_v by_o a_o mighty_a wall_n some_o part_n of_o india_n the_o river_n oxus_n part_v it_o from_o bactria_n and_o margiana_n two_o persian_a province_n the_o caspian_a sea_n which_o separate_v it_o from_o media_n and_o hyrcania_n the_o caucasian_n mountain_n interpose_v between_o it_o and_o turcomania_n and_o the_o euxine_a sea_n which_o divide_v it_o from_o anatolia_n and_o thrace_n it_o reach_v from_o the_o 50_o degree_n of_o longitude_n to_o the_o 195_o which_o be_v 145_o degree_n from_o west_n to_o east_n and_o from_o the_o 40_o degree_n of_o northern_a latitude_n unto_o the_o 80_o which_o be_v within_o 10_o degree_n of_o the_o pole_n itself_o by_o which_o account_n it_o lie_v from_o the_o begin_n of_o the_o six_o clime_n where_o the_o long_a day_n in_o summer_n be_v 15_o hour_n till_o they_o cease_v measure_v the_o climate_n the_o long_a day_n in_o the_o most_o northern_a part_n hereof_o be_v full_a six_o month_n and_o in_o the_o winter_n half_a of_o the_o year_n the_o night_n as_o long_o it_o be_v now_o divide_v into_o these_o five_o part_n 1._o tartary_n precopensis_n 2._o asiatica_fw-la 3._o antiqua_fw-la 4._o zagathay_n 5._o cathay_n china_n china_n be_v bound_v on_o the_o north_n with_o altay_n and_o the_o eastern_a tartar_n from_o which_o it_o be_v separate_v by_o a_o continue_a chain_n of_o hill_n part_n of_o those_o of_o ararat_n and_o where_o that_o chain_n be_v break_v off_o or_o interrupt_v with_o a_o great_a wall_n extend_v 400_o league_n in_o length_n on_o the_o south_n partly_o with_o cauchin_n china_n a_o province_n of_o india_n partly_o with_o the_o ocean_n on_o the_o east_n with_o the_o oriental_a ocean_n and_o on_o the_o west_n with_o part_n of_o india_n and_o cathay_n it_o reach_v from_o the_o 130_o to_o the_o 160_o degree_n of_o longitude_n and_o from_o the_o tropic_a of_o cancer_n to_o the_o 53_o degree_n of_o latitude_n so_o that_o it_o lie_v under_o all_o the_o clime_n from_o the_o three_o to_o the_o nine_o inclusive_o the_o long_a summer_n day_n in_o the_o southern_a part_n be_v 13_o hour_n and_o 40_o minute_n increase_v in_o the_o most_o northern_a part_n to_o 16_o hour_n and_o 3_o quarter_n it_o contain_v no_o few_o than_o 15_o province_n 1._o canton_n 2._o foquien_v 3._o olam_fw-la 4._o sisnam_fw-la 5._o tolenchia_n 6._o causay_n 7._o minchian_n 8._o ochian_n 9_o honan_n 10._o pagnia_n 11._o taitan_n 12._o quinchen_n 13._o chagnian_n 14._o susnan_n 15._o cunisay_n beside_o the_o province_n of_o suehuen_n the_o island_n of_o chorea_fw-la and_o the_o island_n of_o cheaxan_n 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of_o bantam_n 4._o the_o moluccoe_n 5._o those_o call_v sinda_n or_o the_o celebe_n 6._o java_n 7._o borneo_n 8._o sumatra_n 9_o ceilan_n and_o 10._o other_o of_o less_o note_n chap._n v._n of_o africa_n africk_n be_v bound_v on_o the_o east_n by_o the_o red_a sea_n and_o bay_n of_o arabia_n by_o which_o it_o be_v part_v from_o asia_n on_o the_o west_n by_o the_o main_a atlantic_a ocean_n interpose_v between_o it_o and_o america_n on_o the_o north_n by_o the_o mediterranean_a sea_n which_o divide_v it_o from_o europe_n and_o anatolia_n and_o on_o the_o south_n with_o the_o aethiopic_a ocean_n separate_v it_o from_o terra_fw-la australis_fw-la incognita_fw-la or_o the_o southern_a continent_n part_v from_o all_o the_o rest_n of_o the_o world_n except_o asia_n only_o to_o which_o it_o be_v join_v by_o a_o narrow_a isthmus_n not_o above_o 60_o mile_n in_o length_n it_o be_v situate_a for_o the_o most_o part_n under_o the_o torrid_a zone_n the_o aequator_fw-la cross_v it_o almost_o in_o the_o midst_n it_o be_v now_o common_o divide_v into_o these_o seven_o part_n 1._o egypt_n 2._o barbary_n or_o the_o roman_a africa_n 3._o numidia_n 4._o lybia_n 5._o terra_fw-la nigritarum_fw-la 6._o aethiopia_n superior_a and_o 7._o aethiopia_n rinferior_fw-la egypt_n egypt_n be_v bound_v on_o the_o east_n with_o idumea_n and_o the_o bay_n of_o arabia_n on_o the_o west_n with_o barbary_n numidia_n and_o part_n of_o lybia_n on_o the_o north_n with_o the_o mediterranean_a sea_n on_o the_o south_n with_o aethiopia_n superior_a or_o the_o abyssyn_n emperor_n it_o be_v situate_a under_o the_o second_o and_o five_o climate_n so_o that_o the_o long_a day_n in_o summer_n be_v but_o thirteen_o hour_n and_o a_o half_a barbary_n barbary_n be_v bound_v on_o the_o east_n with_o cyrenaica_n on_o the_o west_n with_o the_o atlantic_a ocean_n on_o the_o north_n with_o the_o mediterranean_a sea_n the_o strait_o of_o
or_o 146_o day_n 53_o revolution_n 0_o sign_n 7_o degree_n 56_o minute_n 45_o second_o and_o the_o apogaeon_fw-mi from_o the_o aequinox_n 5_o sign_n 12_o degree_n 46_o minute_n and_o hence_o the_o daily_a motion_n of_o her_o mean_a anomaly_n will_v be_v find_v to_o be_v 13_o d._n 03′_n 53″_n 57‴_n 09_o four_o 58_o v._n 46_o vi_fw-la of_o her_o apogaeon_fw-mi 0._o 06._o 41._o 04._o 03._o 25._o 33._o and_o according_a to_o these_o measure_n if_o you_o deduct_v the_o motion_n of_o the_o ☽_o mean_a anomaly_n for_o 1641_o year_n april_n 4._o hour_n 13._o 37′_n viz._n 8._o 22._o 02._o 00._o from_o 3._o 121._o 35._o 26_o the_o remainder_n be_v 6._o 201._o 33._o 26_o from_o which_o abate_v 20′_n 41″_n the_fw-fr ☽_o mean_a anom_n aera_fw-la chr._n 6._o 20._o 12._o 45._o  _fw-fr in_o like_a manner_n the_o motion_n of_o she_o apogaeon_fw-mi for_o the_o same_o time_n be_v 6._o 05._o 311._o 57_o which_o be_v deduct_v from_o 3._o 17._o 25._o 57_o the_o remainder_n be_v 9_o 11._o 55._o 56_o to_o which_o if_o you_o add_v 21.04_o the_o sum_n 91._o 121._o 15200_o be_v the_o place_n of_o the_o ☽_o apogaeon_n in_o the_o begin_n of_o the_o christian_a aera_fw-la  _fw-fr chap._n xvi_o of_o the_o find_n of_o the_o place_n and_o motion_n of_o the_o moon_n nodes_fw-la anno_fw-la christi_fw-la 1652_o march_v 28_o hour_n 22._o 16′_n the_o sun_n and_o moon_n be_v in_o conjunction_n mr._n street_n in_o page_n 33_o compute_v the_o ☽_o true_a place_n in_o the_o meridian_n of_o london_n to_o be_v in_o ♈_o 19_o 14._o 18_o with_o latitude_n north_n 46′_n 15″_n and_o anno_fw-la christi_fw-la 1654._o august_n 1._o hour_n 21._o 19′_n 30″_n be_v the_o middle_a of_o a_o solar_a eclipse_n at_o london_n at_o which_o time_n the_o moon_n true_a place_n be_v find_v to_o be_v in_o ♌_o 18._o 58′_n 12″_n with_o north_n latitude_n 32′_n 01″_n 1654._o august_n 1._o 21._o 19′_n 30″_n ☽_o place_n ♌_o 18._o 58._o 12_o 1652_o march_n 28._o 22._o 16._o 00_o ☽_o place_n ♈_o 19_o 14._o 18_o from_o the_o first_o 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horron_n in_o his_o posthumas_fw-la work_v last_o publish_v by_o mr._n flamsted_n in_o which_o from_o the_o rudolphin_n table_n he_o set_v down_o these_o dimension_n the_o moon_n mean_a semidiameter_n deg_n 00._o 15′_n 30″_n her_o mean_a distance_n in_o semid_n of_o the_o earth_n deg._n 11._o 47._o 22_o the_o half_a whereof_o deg_n 5._o 53._o 41._o he_o add_v 45_o the_o whole_a be_v deg_n 50._o 53._o 41_o who_o be_v artificial_a cotangent_fw-la be_v 9.91000022_o and_o the_o double_a thereof_o make_v this_o stand_a numb_a 9.82000044_o  _fw-fr great_a 6685._o 44_o  _fw-fr the_o moon_n mean_v 5523._o 69_o excentricity_n  _fw-fr least_o 4361._o 94_o  _fw-fr and_o her_o great_a variation_n 00._o 36′_n 27″_n these_o thing_n premise_v his_o direction_n for_o compute_v the_o moon_n place_n be_v as_o follow_v chap._n xvii_o how_o to_o calculate_v the_o moon_n true_a place_n in_o she_o orbit_n to_o the_o give_a time_n find_v the_o true_a place_n of_o the_o sun_n or_o his_o longitude_n from_o the_o vernal_a aequinox_n as_o have_v be_v already_o show_v 2._o from_o the_o table_n of_o the_o moon_n mean_v motion_n write_v out_o the_o epocha_n next_o before_o the_o give_v time_n and_o several_o under_o that_o set_v the_o motion_n belong_v to_o the_o year_n month_n and_o day_n complete_a and_o to_o the_o hour_n and_o scruple_n current_a every_o one_o under_o his_o like_a only_o remember_v that_o in_o the_o bissextile_a year_n after_o the_o end_n of_o february_n the_o day_n must_v be_v increase_v by_o one_o unite_n then_o add_v they_o all_o together_o the_o sum_n shall_v be_v the_o moon_n mean_v motion_n for_o the_o time_n give_v but_o in_o her_o node_n retrograde_a you_o must_v leave_v out_o the_o radix_fw-la or_o
according_a to_o the_o title_n the_o sum_n or_o difference_n be_v the_o true_a place_n of_o the_o node_n which_o be_v deduct_v from_o the_o place_n of_o the_o moon_n in_o her_o orb_n the_o remainder_n shall_v be_v the_o augment_v of_o latitude_n or_o distance_n of_o the_o moon_n from_o the_o node_n or_o leg_n a_o ☊_o 2._o with_o the_o augment_v of_o latitude_n enter_v the_o table_n of_o the_o moon_n be_v latitude_n and_o take_v thence_o her_o simple_a and_o latitude_n and_o increase_n answer_v to_o it_o then_o say_v as_o the_o whole_a excess_n of_o latitude_n 18′_n or_o in_o decimal_n 30._o be_v to_o the_o inclination_n of_o the_o monthly_a limit_n so_o be_v the_o increase_n of_o latitude_n to_o the_o part_n proportional_a which_o be_v add_v to_o the_o simple_a latitude_n will_v give_v you_o the_o true_a latitude_n of_o the_o moon_n 3._o with_o the_o same_o augment_v of_o latitude_n enter_v the_o table_n of_o reduction_n and_o take_v thence_o the_o reduction_n and_o inclination_n 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moon_n to_o this_o purpose_n we_o have_v here_o exhibit_v a_o table_n show_v the_o moon_n mean_a motion_n from_o the_o sun_n the_o construction_n whereof_o be_v this_o by_o the_o table_n of_o the_o moon_n mean_v motion_n her_o mean_a longitude_n aera_fw-la christi_fw-la be_v 34.0088734567_o the_o ☉_o mean_a anomaly_n 56.6997085185_o praecession_n of_o the_o aequinox_n 20.4976851851_o their_o sum_n be_v the_o ☉_o mean_z longit_fw-la aera_fw-la a_o christi_fw-la 77.4973937036_o which_o be_v deduct_v from_o the_o ☽_o mean_a longitude_n the_o remainder_n be_v the_o moon_n mean_v 56.8114797531_o distance_n from_o the_o sun_n in_o the_o begin_n of_o the_o christian_a aera_fw-la  _fw-fr in_o like_a manner_n the_o moon_n mean_a distance_n from_o the_o sun_n in_o a_o year_n or_o a_o day_n be_v thus_o find_v ☉_o anomaly_n for_o a_o year_n 99.9297857316_o praecession_n of_o the_o aequinox_n 0038580246_o their_o sum_n subtract_v 99.9336437562_o from_o the_o ☽_o mean_a longitude_n 35.9400144893_o moon_n distance_n from_o the_o ☉_o 36.0063707331_o moon_n distance_n from_o the_o sun_n in_o a_o day_n time_n ☉_o mean_a anomaly_n 27378.02348_o praecession_n of_o the_o aequinox_n 1.05699_o their_o sum_n subtract_v 27379.08047_o from_o the_o ☽_o mean_a longitude_n 03._o 66010.96287_o ☽_o daily_n motion_n from_o the_o ☉_o 03._o 38631.88240_o and_o according_a to_o these_o measure_n be_v the_o table_n make_v show_v the_o moon_n mean_a motion_n from_o the_o sun_n by_o which_o the_o mean_a conjunction_n of_o the_o ☽_o and_o moon_n may_v be_v thus_o compute_v to_o the_o give_v year_n and_o month_n gather_v the_o middle_a motion_n of_o the_o moon_n from_o the_o sun_n and_o take_v the_o compliment_n thereof_o to_o a_o whole_a circle_n from_o which_o subtract_v continual_o the_o near_a lesser_a middle_a motion_n the_o day_n hour_n and_o minute_n enfue_v thereto_o be_v the_o mean_a time_n of_o the_o conjunction_n example_n anno_fw-la christi_fw-la 1676._o i_o will_v know_v the_o time_n of_o the_o mean_a conjunction_n or_o new_a moon_n in_o october_n epocha_n 1660_o 32.697283_o year_n compl._n 15._o 50.254463_o septemb_n compl._n 24.465038_o 1._o day_n for_o leap-year_n 03.386318_o their_o sum_n be_v the_o moon_n motion_n from_o the_o ☉_o 10.803102_o compliment_n to_o a_o whole_a circle_n 89.196898_o day_n 26_o subtract_v 88.044289_o hour_n 8._o subtract_v 1.152609_o 1.128772_o minute_n 10_o subtract_v 0.023837_o 0.023516_o the_o remainder_n give_v 8″_n .00321_o therefore_o the_o mean_a conjunction_n in_o october_n 1676._o be_v the_o 26_o day_n 10_o min._n 8_o second_n after_o 8_o at_o night_n and_o to_o find_v the_o mean_a opposition_n to_o the_o compliment_n of_o the_o middle_a motion_n add_v a_o semicircle_n and_o then_o subtract_v the_o near_o lesser_a middle_a motion_n as_o before_o the_o day_n hour_n and_o minute_n ensue_v thereto_o shall_v be_v the_o mean_a opposition_n require_v example_n anno_fw-la christi_fw-la 1676._o i_o desire_v to_o know_v the_o mean_a opposition_n in_o november_n epocha_n 1660_o 32.697283_o year_n compl._n 15_o 50.254463_o october_n compl._n 29.440922_o 1_o day_n for_o leap-year_n 03.386318_o the_o ☽_o mean_v motion_n from_o the_o ☉_o 15.778986_o compliment_n to_o a_o whole_a circle_n 84.221014_o to_o which_o add_v a_o semicircle_n 50._o the_o sum_n be_v 34.221014_o day_n 10_o subtract_v 33.863188_o hour_n 2._o .357826_o .282193_o minute_n 32._o .075633_o .075251_o the_o remainder_n give_v 9_o second_n .000382_o therefore_o the_o full_a moon_n or_o mean_a opposition_n of_o the_o sun_n and_o moon_n be_v november_n the_o 10_o hour_n 2_o 32′_n 09″_n the_o like_a may_v be_v do_v for_o any_o other_o and_o here_o i_o shall_v proceed_v to_o show_v the_o manner_n of_o find_v the_o true_a conjunction_n or_o opposition_n of_o the_o sun_n and_o moon_n but_o there_o be_v no_o decimal_n canon_n yet_o extant_a suitable_a to_o the_o table_n of_o middle_a motion_n here_o exhibit_v i_o choose_v rather_o to_o refer_v my_o reader_n to_o mr._n street_n astronomia_fw-la carolina_n for_o instruction_n in_o that_o particular_a and_o what_o else_o shall_v be_v find_v want_v in_o this_o subject_n a_o introduction_n to_o geography_n or_o the_o four_o part_n of_o cosmography_n chap._n i._n of_o the_o nature_n and_o division_n of_o geography_n geography_n be_v a_o science_n concern_v the_o measure_n and_o distinction_n of_o the_o earthly_a globe_n as_o it_o be_v a_o spherical_a body_n compose_v of_o earth_n and_o water_n for_o that_o both_o these_o do_v together_o make_v but_o one_o globe_n 2._o and_o hence_o the_o part_n of_o geography_n be_v two_o the_o one_o concern_v the_o earthy_a part_n and_o the_o other_o the_o water_n 3._o the_o earthy_a part_n of_o this_o globe_n be_v common_o divide_v into_o continent_n and_o island_n 4._o a_o continent_n be_v a_o great_a quantity_n of_o land_n not_o separate_v by_o any_o sea_n from_o the_o rest_n of_o the_o world_n as_o the_o whole_a continent_n of_o europe_n asia_n and_o africa_n or_o the_o continent_n of_o france_n spain_n and_o germany_n 5._o a_o island_n be_v a_o part_n of_o earth_n environ_v round_o about_o with_o some_o sea_n or_o other_o as_o the_o isle_n of_o britain_n with_o the_o ocean_n the_o isle_n of_o sicily_n with_o the_o mediterranean_a and_o therefore_o in_o latin_a it_n be_v call_v insula_n because_o it_o be_v situate_a in_o salo_n in_o the_o sea_n 6._o both_o these_o be_v subdivide_v into_o peninsula_n isthmus_n promontorium_n 7._o peninsula_n quasi_fw-la pene_fw-la insula_fw-la be_v a_o tract_n of_o land_n which_o be_v almost_o encompass_v round_o by_o water_n be_v join_v to_o the_o main_a land_n by_o some_o little_a part_n of_o earth_n 8._o isthmus_n be_v that_o narrow_a neck_n of_o land_n which_o join_v the_o peninsula_n to_o the_o continent_n 9_o promontorium_n be_v a_o high_a mountain_n which_o shoot_v itself_o into_o the_o sea_n the_o outmost_a end_n whereof_o be_v call_v a_o cape_n or_o foreland_n as_o the_o cape_n of_o good_a hope_n in_o africa_n 10._o the_o
government_n the_o several_a province_n be_v 1._o peloponnesus_n 2._o achaia_n 3._o epirus_n 4._o albania_n 5._o macedon_n 6._o thrace_n 7._o the_o island_n of_o the_o propontick_a 8._o aegean_a and_o 9_o the_o ionian_a sea_n and_o 10._o final_o the_o isle_n of_o crete_n and_o thus_o i_o have_v give_v you_o a_o brief_a description_n of_o those_o country_n which_o be_v comprehend_v in_o the_o continent_n of_o europe_n the_o island_n in_o this_o part_n of_o the_o world_n be_v many_o i_o will_v mention_v only_o some_o few_o these_o two_o in_o the_o british_a and_o northern_a ocean_n know_v by_o the_o name_n of_o great_a britain_n and_o ireland_n be_v the_o most_o famous_a to_o which_o may_v be_v add_v greenland_n in_o the_o mediterranaen_n sea_n you_o have_v the_o island_n of_o sicilia_n sardinia_n corsica_n and_o crete_n which_o be_v now_o call_v candia_n the_o great_a and_o the_o less_o as_o for_o the_o other_o island_n belong_v to_o this_o part_n of_o the_o world_n the_o reader_n may_v expect_v a_o more_o particular_a description_n from_o they_o who_o have_v or_o shall_v write_v more_o large_o of_o this_o subject_n this_o we_o deem_v sufficient_a for_o our_o present_a purpose_n let_v this_o then_o suffice_v for_o the_o description_n of_o the_o first_o part_n of_o the_o world_n call_v europe_n chap._n iu._n of_o asia_n asia_n be_v bind_v on_o the_o west_n with_o the_o mediterranean_a and_o aegaean_a sea_n the_o hellespont_n propontis_n thracian_a bosphorus_n and_o the_o euxine_a sea_n the_o palus_n maeotis_n the_o river_n tanais_n and_o duina_n a_o line_n be_v draw_v from_o the_o first_o of_o the_o two_o say_a river_n unto_o the_o other_o by_o all_o which_o it_o be_v part_v from_o europe_n on_o the_o north_n it_o have_v the_o main_a scythick_n ocean_n but_o on_o the_o east_n the_o indian_a ocean_n and_o mare_fw-la del_fw-it eur_fw-fr by_o which_o it_o be_v separate_v from_o america_n on_o the_o south_n the_o mediterranean_a or_o that_o part_n of_o it_o which_o be_v call_v the_o carpathian_n sea_n wash_v the_o shore_n of_o anatolia_n and_o the_o main_a southern_a ocean_n pass_v along_o the_o indian_a persian_a and_o arabian_a coast_n and_o final_o on_o the_o south-west_n the_o red_a sea_n or_o bay_n of_o arabia_n by_o which_o it_o be_v part_v from_o africa_n environ_v on_o all_o side_n with_o the_o sea_n or_o some_o sea_n like_o rivers_n except_o a_o narrow_a isthmus_n in_o the_o south-west_n which_o join_v it_o to_o africa_n and_o the_o space_n of_o ground_n whatsoever_o it_o be_v between_o duina_n and_o tanais_n on_o the_o northwest_n which_o unite_v it_o to_o europe_n 2._o it_o be_v situate_v east_n and_o west_n from_o the_o 52_o to_o the_o 169_o degree_n of_o longitude_n and_o north_n and_o south_n from_o the_o 82_o degree_n of_o latitude_n to_o the_o very_a aequator_fw-la some_o of_o the_o island_n only_o lie_v on_o the_o south_n of_o that_o circle_n so_o that_o the_o long_a summer_n day_n in_o the_o southern_a part_n be_v but_o twelve_o hour_n but_o in_o the_o most_o northern_a part_n hereof_o almost_o four_o whole_a month_n together_o 3._o this_o country_n have_v heretofore_o be_v have_v in_o special_a honour_n 1._o for_o the_o creation_n of_o man_n who_o have_v his_o first_o make_v in_o this_o part_n of_o the_o world_n 2._o because_o in_o this_o part_n of_o it_o stand_v the_o garden_n of_o eden_n which_o he_o have_v for_o the_o first_o place_n of_o his_o habitation_n 3._o because_o here_o flourish_v the_o four_o first_o great_a monarchy_n of_o the_o assyrian_n babylonian_n mede_n and_o persian_n 4._o because_o it_o be_v the_o scene_n of_o almost_o all_o the_o memorable_a action_n which_o be_v record_v by_o the_o penman_n of_o the_o scripture_n 5._o because_o our_o saviour_n christ_n be_v bear_v here_o and_o here_o wrought_v his_o most_o divine_a miracle_n and_o accomplish_v the_o great_a work_n of_o our_o redemption_n 6._o and_o final_o because_o from_o hence_o all_o nation_n of_o the_o world_n have_v their_o first_o beginning_n on_o the_o dispersion_n which_o be_v make_v by_o the_o son_n of_o noah_n after_o their_o vain_a attempt_n at_o babel_n 4._o this_o part_n of_o the_o world_n for_o the_o better_a understanding_n of_o the_o greek_a and_o the_o roman_a story_n and_o the_o estate_n of_o the_o assyrian_a babylonian_a and_o the_o persian_a monarchy_n to_o which_o the_o holy_a scripture_n do_v so_o much_o relate_v we_o shall_v consider_v as_o divide_v into_o the_o region_n of_o 1._o anatolia_n or_o asia_n minor_fw-la 2._o cyprus_n 3._o syria_n 4._o arabia_n 5._o chaldea_n 6._o assyria_n 7._o mesopotamia_n 8._o turcomania_n 9_o media_fw-la 10._o persia._n 11._o tartary_n 12._o china_n 13._o india_n and_o 14._o the_o oriental_a island_n anatolia_n or_o asia_n minor_fw-la anatolia_n or_o asia_n minor_a be_v bound_v on_o the_o east_n with_o the_o river_n euphrates_n by_o which_o it_o be_v part_v from_o the_o great_a asia_n on_o the_o west_n with_o the_o thracian_a bosphorus_n propontis_n hellespont_n and_o the_o aegean_a sea_n by_o which_o it_o be_v part_v from_o europe_n on_o the_o north_n with_o pontus_n euxinus_n call_v also_o the_o black_a sea_n and_o mare_n maggiore_n and_o on_o the_o south_n by_o the_o rhodian_a lydian_a and_o pamphilian_a sea_n several_a part_n of_o the_o mediterranean_a so_o that_o it_o be_v a_o demi-island_n or_o peninsula_n environ_v on_o all_o side_n with_o water_n except_v a_o small_a isthmus_n or_o neck_n of_o land_n extend_v from_o the_o head_n of_o euphrates_n to_o the_o euxine_a sea_n by_o which_o it_o be_v join_v to_o the_o rest_n of_o asia_n it_o reach_v from_o the_o 51_o to_o the_o 72_o degree_n of_o longitude_n and_o from_o the_o 36_o to_o the_o 45_o degree_n of_o latitude_n and_o lie_v almost_o in_o the_o same_o position_n with_o italy_n extend_v from_o the_o middle_a parallel_n of_o the_o four_o clime_n to_o the_o middle_a parallel_n of_o the_o six_o so_o that_o the_o long_a summer_n day_n in_o the_o southern_a part_n be_v about_o 14_o hour_n and_o a_o half_a and_o one_o hour_n long_o in_o those_o part_n which_o lie_v most_o towards_o the_o north._n the_o province_n into_o which_o it_o be_v divide_v before_o the_o roman_a conquest_n be_v 1._o bythinia_n 2._o pontus_n 3._o paphlagonia_n 4._o galatia_n 5._o cappadocia_n 6._o armenia_n major_a &_o minor_n 7._o phrygia_n minor_fw-la 8._o phrygia_n major_a 9_o mysia_n the_o great_a and_o the_o less_o 10._o asia_n special_o so_o call_v comprehend_v aeolis_n and_o jonia_n 11._o lydia_n 12._o caria_n 13._o lycia_n 14._o lycaonia_n 15._o pisidia_n 16._o pamphylia_n 17._o isauria_n 18._o cilicia_n 19_o the_o province_n of_o the_o asian_a isle_n whereof_o the_o most_o principal_a be_v 1._o tenedos_n 2._o chios_n 3._o samos_n 4._o choo_n 5._o icaria_n 6._o lesbos_n 7._o patmos_n 8._o claros_n 9_o carpathos_n 10._o rhodes_n cyprus_n cyprus_n be_v situate_v in_o the_o syrian_a and_o cilician_n sea_n extend_v in_o length_n from_o east_n to_o west_n 200_o mile_n in_o breadth_n 60_o the_o whole_a compass_n reckon_v 550_o distant_a about_o 60_o mile_n from_o the_o rocky_a shore_n of_o cilicia_n in_o asia_n minor_fw-la and_o about_o one_o hundred_o from_o the_o main_a land_n of_o syria_n it_o be_v situate_v under_o the_o four_o climate_n so_o that_o the_o long_a day_n in_o summer_n be_v no_o more_o than_o 14_o hour_n and_o a_o half_a divide_v by_o ptolemy_n into_o the_o 4_o province_n of_o 1._o paphia_n 2._o amathasia_n 3._o lepathia_n 4._o salamine_n syria_n syria_n be_v bound_v on_o the_o east_n with_o the_o river_n euphrates_n by_o which_o it_o be_v part_v from_o mesopotamia_n on_o the_o west_n with_o the_o mediterranean_a sea_n on_o the_o north_n with_o cilicia_n and_o armenia_n minor_a part_v from_o the_o last_o by_o mount_n taurus_n and_o on_o the_o south_n with_o palestine_n and_o some_o part_n of_o arabia_n the_o length_n hereof_o from_o mount_n taurus_n to_o the_o edge_n of_o arabia_n be_v say_v to_o be_v 525_o mile_n the_o breadth_n from_o the_o mediterranean_a to_o the_o river_n euphrates_n 470_o miles_n draw_v somewhat_o near_o unto_o a_o square_n the_o whole_a country_n be_v ancient_o divide_v into_o these_o six_o part_n 1._o phoenicia_n 2._o palestine_n 3._o syria_n special_o so_o call_v 4._o comagena_n 5._o palmyrene_n and_o caelosyria_n or_o syria_n cava_fw-la arabia_n arabia_n have_v on_o the_o east_n chaldaea_n and_o the_o bay_n or_o gulf_n of_o persia_n on_o the_o west_n palestine_n some_o part_n of_o egypt_n and_o the_o whole_a course_n of_o the_o red_a sea_n on_o the_o north_n the_o river_n euphrates_n with_o some_o part_n of_o syria_n and_o palestine_n and_o on_o the_o south_n the_o main_a southern_a ocean_n it_o be_v in_o circuit_n about_o 4000_o mile_n but_o of_o so_o unequal_a and_o heteregeneous_a composition_n that_o no_o general_a character_n can_v be_v give_v of_o it_o and_o therefore_o we_o
 _fw-fr hour_n 1_o 04.16666667_o 2_o 08.33333333_o 3_o 12.5_o 4_o 16.16666667_o 5_o 20.83333333_o 6_o 25.0_o 7_o 29.16666667_o 8_o 33.33333333_o 9_o 37.5_o 10_o 41.66666667_o 11_o 45.83333333_o 12_o 50._o 13_o 54.16666667_o 14_o 58.33333333_o 15_o 62.5_o 16_o 66.66606667_o 17_o 70.83333333_o 18_o 75.00_o 19_o 79.16660667_o 20_o 83.33333333_o 21_o 87.5_o 22_o 91.66666667_o 23_o 95.83333333_o 24_o 100.00000000_o  _fw-fr minute_n 1_o 0.06944444_o 2_o 0.13888888_o 3_o 0.20833333_o 4_o 0.27777777_o 5_o 0.34722222_o 6_o 0.41666666_o 7_o 0.48611111_o 8_o 0.55555555_o 9_o 0.625_o 10_o 0.69444444_o 11_o 0.76388888_o 12_o 0.83333333_o 13_o 0.90277777_o 14_o 0.97222222_o 15_o 1.04166666_o 16_o 1.11111111_o 17_o 1.18055555_o 18_o 1.25_o 19_o 1.31944444_o 20_o 1.38888888_o 21_o 1.45833333_o 22_o 1.52777777_o 23_o 1.59722222_o 24_o 1.66666666_o 25_o 1.73611111_o 26_o 1.80555555_o 27_o 1.875_o 28_o 1.94444444_o 29_o 2.01388888_o 30_o 2.08333333_o the_o decimal_a part_n of_o a_o day_n and_o the_o contrary_n second_o  _fw-fr minute_n second_o .00115740_o 31_o 2.15277777_o .03587963_o .00231481_o 32_o 2.22222222_o .03703704_o .00347222_o 33_o 2.29166666_o .03819444_o .00462962_o 34_o 2.36111111_o .03935185_o .00578703_o 35_o 2.43055555_o .04050926_o .00694444_o 36_o 2.5_o .04166666_o .00810184_o 37_o 2.56944444_o .04282407_o .00925925_o 38_o 2.63888888_o .04398148_o .01041660_o 39_o 2.70833333_o .04513888_o .01157405_o 40_o 2.77777777_o .04629629_o .01273148_o 41_o 2.84722222_o .04745370_o .01388888_o 42_o 2.91666666_o .04861111_o .01504630_o 43_o 2.98611111_o 0497685â—_n .01620371_o 44_o 3.05555555_o .05092592_o .01736111_o 45_o 3.125_o .05208333_o .01851853_o 46_o 3.19444444_o .05324074_o .01967593_o 47_o 3.26388888_o .05439814_o .02083333_o 48_o 3.33333333_o .05555555_o .02199074_o 49_o 3.40277777_o .05671296_o .02314810_o 50_o 3.47222222_o .05787037_o .02430555_o 51_o 3.54166666_o .05902777_o .02546295_o 52_o 3.61111111_o .06018518_o .02662037_o 53_o 3.68055555_o 06134â—59_n .02777777_o 54_o 3.75_o .0625_o .02893518_o 55_o 3.81944444_o .06365741_o .03009259_o 56_o 3.88888888_o .06481481_o .03125000_o 57_o 3.95833333_o .06597222_o .03240741_o 58_o 4.02777777_o .06712963_o .03356482_o 59_o 4.09722222_o .06828704_o .03472222_o 60_o 4.16666666_o .06944444_o a_o catalogue_n of_o some_o of_o the_o most_o eminent_a city_n and_o town_n in_o england_n and_o ireland_n wherein_o be_v show_v the_o difference_n of_o their_o meridian_n from_o london_n with_o the_o height_n of_o the_o pole_n name_n of_o city_n differ_v merid._n hight_v pole_n st._n albon_n 0_o 1_o s_o 55.55_o barwick_n 0_o 6_o s_o 55.49_o bedford_n 0_o 2_o s_o 52.18_o bristol_n 0_o 11_o s_o 51.32_o boston_n 0_o 0_o 53.2_o cambridge_n 0_o 1_o a_o 52.17_o canterbury_n 0_o 5_o a_o 51.27_o carlisle_n 0_o 10_o s_o 54.57_o chester_n 0_o 11_o s_o 53.20_o coventry_n 0_o 4_o s_o 52.30_o carmarthen_n 0_o 17_o s_o 52.2_o chichester_n 0_o 3_o s_o 50.56_o colchester_n 0_o 5_o a_o 52.4_o derby_n 0_o 5_o s_o 53.6_o dublin_n in_o ireland_n 0_o 26_o s_o 53.11_o duresmâ—_n 0_o 5_o s_o 54.45_o dartmouth_n 0_o 15_o s_o 50.32_o eely_n 0_o 1_o a_o 52.20_o granthaâ—_n 0_o 2_o s_o 52.58_o gloucester_n 0_o 9_o s_o 52.00_o halefax_n 0_o 6_o s_o 52.49_o hartford_n 0_o 1_o s_o 52.50_o hereford_n 0_o 11_o s_o 52.14_o huntingdon_n 0_o 1_o s_o 52.19_o hull_n 0_o 1_o s_o 53.58_o lancaster_n 0_o 11_o s_o 54.08_o leicester_n 0_o 4_o s_o 52.40_o lincoln_n 0_o 1_o s_o 53.12_o middle_a of_o the_o isle_n of_o man_n 0_o 17_o s_o 54.22_o nottingham_n 0_o 4_o s_o 53.03_o newark_n 0_o 3_o s_o 53.02_o newcastle_n 0_o 6_o s_o 54.58_o n._n luffingham_n 0_o 3_o s_o 52.41_o norwich_n 0_o 4_o a_o 52.44_o northampton_n 0_o 4_o s_o 52.18_o oxford_n 0_o 5_o s_o 51.54_o okenham_n 0_o 3_o s_o 52.44_o peterborough_n 0_o 2_o s_o 52.35_o richmond_n 0_o 6_o s_o 54.26_o rochester_n 0_o 3_o a_o 51.28_o ross_n 0_o 10_o s_o 52.07_o st._n michael_n mount_n in_o cornwall_n 0_o 23_o s_o 50.38_o stafford_n 0_o 8_o s_o 52.55_o stamford_n 0_o 2_o s_o 52.41_o shrewsbury_n 0_o 11_o s_o 52.48_o tredah_n in_o ireland_n 0_o 27_o s_o 53.28_o uppingham_n in_o rutland_n 0_o 3_o s_o 52.40_o warwick_n 0_o 6_o s_o 52.25_o winchester_n 0_o 5_o s_o 50.10_o waterford_n in_o ireland_n 0_o 27_o s_o 52.22_o worcester_n 0_o 9_o s_o 52.20_o yarmouth_n in_o suffolk_n 0_o 6_o a_o 52.45_o york_n 0_o 4_o s_o 54.00_o london_n 0_o 00_o 51.32_o the_o sun_n mean_a longitude_n and_o mean_a anomaly_n in_o egyptian_a year_n  _fw-fr ☉_o mean_a longitude_n ☉_o mean_a anomaly_n 1_o 99.9336437563_o 99.9288933116_o 2_o 99.8672875126_o 99.8577866232_o 3_o 99.8009312690_o 99.7866799348_o 4_o 99.7345750253_o 99.7155732465_o 5_o 99.6682187816_o 99.6444665581_o 6_o 99.6018625380_o 99.5733598697_o 7_o 99.5355062943_o 99.5022531814_o 8_o 99.4691500506_o 99.4211464930_o 9_o 99.4027938070_o 99.3600398046_o 10_o 99.3364375633_o 99.2889331162_o 100_o 93.3643756334_o 92.8893311628_o 1000_o 33.6437563341_o 28.8933116289_o the_o sun_n mean_a anomaly_n and_o praecession_n of_o the_o aequinox_n 8_o in_o 1_o egyptian_a year_n year_n ☉_o mean_a anomaly_n praecession_n aequinox_n 1_o 99.9297857316_o 00.0038580246_o 2_o 99.8595714632_o 00.0077160493_o 3_o 99.7893571949_o 00.0115740740_o 4_o 99.7191429265_o 00.0154320987_o 5_o 99.6489286582_o 00.0192901234_o 6_o 99.5787143898_o 00.0231481481_o 7_o 66.5085001114_o 00.0270061728_o 8_o 99.2978573164_o 00.0308641975_o 9_o 99.3680715847_o 00.0347222221_o 10_o 99.2978573164_o 00.0385802469_o 100_o 92.9785731642_o 00.3858024691_o 1000_o 99.7857316427_o 03.8580246913_o the_o sun_n mean_a longitude_n and_o mean_a anomaly_n in_o julian_n year_n  _fw-fr ☉_o mean_a longitude_n ☉_o mean_a anomaly_n 1_o 99.9336437563_o 99.9288933116_o 2_o 99.8672875126_o 99.8577866232_o 3_o 99.8009312689_o 99.7866799348_o b_o 4_o 00.008365830_o 99.9892901234_o 5_o 99.9420095864_o 99.9181834350_o 6_o 99.875633427_o 99.8470767466_o 7_o 99.8092970990_o 99.7759700583_o b_o 8_o 00.0167316602_o 99.9785802468_o 9_o 99.9503754165_o 99.9074735584_o 10_o 99.8840191728_o 99.8363668700_o 11_o 99.8176629291_o 99.7652591816_o b_o 12_o 00.0250974903_o 99.9678703702_o 13_o 99.9587412466_o 99.8967636818_o 14_o 99.8923850029_o 99.8256569934_o 15_o 99.8260287592_o 99.7545503050_o b_o 16_o 00.0334633205_o 99.9571604936_o 17_o 99.9671070768_o 99.8860548052_o 18_o 99.9007508331_o 99.8149481168_o 19_o 99.8343945894_o 99.7438414284_o b_o 20_o 00.0418291506_o 99.9164506171_o 40_o 00.0836583012_o 99.8929012342_o 60_o 00.1254874518_o 99.8393518513_o 80_o 00.1673166024_o 99.7858024684_o 100_o 00.2091457530_o 99_o 73225308â—5_n 200_o 00.4182015060_o 99.4645061710_o 300_o 00.6274372590_o 99.1967592565_o 400_o 00.8365830120_o 98.9290123420_o 500_o 01.0457287650_o 98.6612654275_o 600_o 01.2548745180_o 98.3935185130_o 700_o 01._o 4640â—02710_n 98.1257715985_o the_o ☉_o mean_a longitude_n and_o anomaly_n aera_fw-la ☉_o mean_a longitude_n ☉_o mean_a anomaly_n chr._n 77._o 22400.86419_o 58._o 24289.56790_o 1600_o 80._o 54891.97529_o 53._o 95880.62961_o 1620_o 80._o 59074.89035_o 53._o 90525.69132_o 1640_o 80._o 63257.80541_o 53._o 85170.75303_o 1660_o 80._o 67440.72047_o 53._o 79815.81474_o 1680_o 80._o 71623.63553_o 53._o 74460.87645_o 1700_o 80._o 75806.55059_o 53._o 69105.93816_o 1720_o 80._o 79989.46665_o 53._o 63750.99987_o 1740_o 80._o 84172.38171_o 53._o 58396.06158_o 1760_o 80._o 88265.29677_o 53._o 53041.12329_o  _fw-fr ☉_o mean_a lon._n in_o mon._n ☉_o mean_z ano._n in_o mo._n janu._n 08._o 48751.49488_o 08._o 48711.14867_o febr._n 16._o 15365.74832_o 16._o 15288.96037_o mar._n 24._o 64117.24320_o 24._o 64000.10904_o april_n 32._o 85489.65760_o 32._o 85333.47872_o may_n 41._o 34241.15248_o 41._o 34044.62739_o june_n 49._o 55613.56688_o 49._o 55377.99708_o july_n 58._o 04365.06176_o 58._o 04089.14575_o aug._n 66._o 53116.55664_o 66._o 52800.29442_o sept._n 74._o 74488.97104_o 74._o 74133.66410_o octo._n 83._o 23240.46592_o 85._o 22844.81277_o nou._n 91._o 44612.88032_o 91._o 44178.18245_o dec._n 99_o 93364.37563_o 99_o 92889.33116_o in_o anno_fw-la â—issentili_fw-la post_fw-la februarium_fw-la add_v unum_fw-la diem_fw-la &_o unius_fw-la dies_fw-la motum_fw-la the_o sun_n mean_a longitude_n and_o mean_a anomaly_n in_o day_n  _fw-fr ☉_o mean_a longitude_n ☉_o mean_a anomaly_n 1_o 0.2737908048_o 0.2737777898_o 2_o 0.5475816096_o 0.5475555796_o 3_o 0.8213724144_o 0.8213333694_o 4_o 1.0951632192_o 1.0951111592_o 5_o 1_o 3â—89540240_n 1.3688889490_o 6_o 1.6427448288_o 1.6426667388_o 7_o 1.9165356336_o 1.9164445286_o 8_o 2.1903264384_o 2.1902223184_o 9_o 2.4641172432_o 2.4640001082_o 10_o 2.7379080480_o 2.7377778980_o 11_o 3.0116988528_o 3.0115556878_o 12_o 3.2854896576_o 3.2853334776_o 13_o 3.5592804624_o 3.5591112674_o 14_o 3.8330712672_o 3.8328890572_o 15_o 4.1068620720_o 4.1066668470_o 16_o 4.3806428768_o 4.3804446368_o 17_o 4.6544436816_o 4.6542224266_o 18_o 4.9282344864_o 4.9280002164_o 19_o 5.2020252912_o 5.2077780062_o 20_o 5.4758160960_o 5.4755557960_o 21_o 5.7496069008_o 5.7493335858_o 22_o 6.0233977056_o 6.0231113756_o 23_o 6.2971885104_o 6.2968891654_o 24_o 6.5709793152_o 6.5706669552_o 25_o 6.8447701200_o 6.8444447450_o 26_o 7.1185609248_o 7.1182225348_o 27_o 7.3923517296_o 7.3920003246_o 28_o 7.6661425344_o 7.6957781144_o 29_o 7.9399333392_o 7.9395559042_o 30_o 8.2137241440_o 8.2133336940_o 31_o 8.4875149488_o 8.4871114838_o the_o sun_n mean_a longitude_n and_o mean_a anomaly_n in_o days_n  _fw-fr ☉_o mean_a longitude_n ☉_o mean_a anomaly_n 1_o 0.0114079502_o 0.0114074079_o 2_o 0.0228159004_o 0.0228148158_o 3_o 0.0342238506_o 0.0342222237_o 4_o 0.0456318008_o 0.0456296316_o 5_o 0.0570397510_o 0.0570370395_o 6_o 0.0684477012_o 0.0684444474_o 7_o 0.0798556514_o 0.0798518553_o 8_o 0.0912636016_o 0.0912592632_o 9_o 0.1026715518_o
0.1026666711_o 10_o 0.1140795020_o 0.1140740790_o 11_o 0.1254874522_o 0.1254814869_o 12_o 0.1368954024_o 0.1368888948_o 13_o 0.1483033526_o 0.1482963027_o 14_o 0.1597113028_o 0.1597037106_o 15_o 0.1711192530_o 0.1711111185_o 16_o 0.1825272032_o 0.1825185264_o 17_o 0.1939351534_o 0.1939259343_o 18_o 0.2053431036_o 0.2053333422_o 19_o 0.2167510538_o 0.2167407501_o 20_o 0.2281590040_o 0.2281481580_o 21_o 0.2395669542_o 0.2395555659_o 22_o 0.2509749044_o 0.2509629738_o 23_o 0.2623828546_o 0.2623703817_o 24_o 0.2737777048_o 0.2737777896_o the_o sun_n mean_a anomaly_n and_o praecession_n of_o the_o aequinox_n aera_fw-la ☉_o anomaly_n praecess_n aequinox_n chr._n 56._o 69976.85185_o 20._o 49768.51851_o 1600_o 53._o 87323.10751_o 26._o 67052.46907_o 1620_o 53._o 83789.15687_o 26._o 74768.51845_o 1640_o 53._o 80255.20623_o 26._o 82484.56783_o 1660_o 53._o 76721.25559_o 26._o 90200.61721_o 1680_o 53._o 73187.30495_o 26._o 97916.66659_o 1700_o 53.69653_o 35431_o 27._o 05632.71597_o 1720_o 53._o 66119.40367_o 27._o 13348.76535_o 1740_o 53._o 65585.45303_o 27._o 21064.81473_o 1760_o 53._o 59051.50230_o 27._o 28780.86411_o  _fw-fr ☉_o anomaly_n in_o month_n praecess_n aequinox_n in_o month_n janu_n 08._o 48718.72813_o 0._o 00032.76678_o febr._n 16._o 15303.38579_o 0._o 00062.36258_o mar._n 24._o 64022.11392_o 0._o 00095.12937_o april_n 32._o 85362.81857_o 0._o 00126.83916_o may_n 41._o 34081.54670_o 0._o 00159.60594_o june_n 49._o 55422.25134_o 0._o 00191.31573_o july_n 58._o 04140.97947_o 0._o 00224.08251_o aug._n 66._o 52859.70760_o 0._o 00256.84929_o sept._n 74._o 74200.41225_o 0._o 00288.55908_o octo._n 83._o 22919.14038_o 0._o 00321.32587_o nou._n 91._o 44259.84502_o 0._o 00353.03566_o dec._n 99_o 92978.57315_o 0._o 00385.80244_o the_o ☉_o mean_v anomaly_n and_o praecession_n of_o the_o aequinox_n in_o julian_n year_n  _fw-fr ☉_o mean_a anomaly_n praecess_n aequinox_n 1_o 99.9297857316_o 00.0038580246_o 2_o 99.8595714612_o 00.0077160493_o 3_o 99.7893571949_o 00.0115740740_o b_o 4_o 99.9929231686_o 00.0154320987_o 5_o 99.9227089002_o 00.0192901233_o 6_o 99.8524946318_o 00.0231481479_o 7_o 99.7822803634_o 00.0270061725_o b_o 8_o 99.9858463372_o 00.0308641974_o 9_o 99.9156320688_o 00.0347222220_o 10_o 99.8454178004_o 00.0385802466_o 11_o 99.7752035321_o 00.0424382714_o b_o 12_o 99.9787695058_o 00.0462962961_o 13_o 99.9085552374_o 00.0501543207_o 14_o 99.8383409690_o 00.0540123453_o 15_o 99.7681266066_o 00.0578703699_o b_o 16_o 99.9716926744_o 00.0617283948_o 17_o 99.9014784060_o 00.0655864194_o 18_o 99.8312647376_o 00.0694444440_o 19_o 99.7610498692_o 00.0733024686_o b_o 20_o 99.9646158434_o 00.0771604938_o 40_o 99.9292306868_o 00.1543209876_o 60_o 99.8938465302_o 00.2314814814_o 80_o 99.8584623736_o 00.3086419752_o 100_o 99.8270782170_o 00.3858024690_o 200_o 99.6461564340_o 00.7716049380_o 300_o 99.4692346510_o 01.1574074070_o 400_o 99.2923128680_o 01.5432098760_o 500_o 99.1153910850_o 01.9290123450_o 600_o 98.9384693020_o 02.3148148140_o 700_o 98.7615475190_o 02.7006172830_o the_o sun_n mean_a anomaly_n and_o praec_fw-la of_o the_o aequi_n in_o day_n d_o ☉_o anomaly_n praecess_n aequinox_n 1_o 0.2737802348_o 0.0000105699_o 2_o 0.5475604697_o 0.0000211398_o 3_o 0.8213407046_o 0.0000317097_o 4_o 1.0951209395_o 0.0000422797_o 5_o 1.3689011744_o 0.0000528496_o 6_o 1.6426814092_o 0.0000634195_o 7_o 1.9164616441_o 0.0000739894_o 8_o 2.1902418790_o 0.0000845593_o 9_o 2.4640221139_o 0.0000951292_o 10_o 2.7378023488_o 0.0001056993_o 11_o 3.0115825836_o 0.0001162692_o 12_o 3.2853628184_o 0.0001268391_o 13_o 3.5591430532_o 0.0001374090_o 14_o 3.8329232880_o 0.0001479789_o 15_o 4.1067035228_o 0.0001585488_o 16_o 4.3804837576_o 0.0001691187_o 17_o 4.6542639924_o 0.0001796886_o 18_o 4.9280442272_o 0.0001902585_o 19_o 4.2018244620_o 0.0002008284_o 20_o 5.4756046976_o 0.0002113986_o 21_o 5.7493849324_o 0.0002219685_o 22_o 6.0231651672_o 0.0002325384_o 23_o 6.2969454020_o 0.0002431083_o 24_o 6.5707256368_o 0.0002536782_o 25_o 6.8445058716_o 0.0002642481_o 26_o 7.1182861064_o 0.0002748180_o 27_o 7.3920663412_o 0.0002853879_o 28_o 7.6658455766_o 0.0002959580_o 29_o 7.9396258115_o 0.0003065279_o 30_o 8.2134070464_o 0.0003170979_o 31_o 8.4871872813_o 0.0003276678_o the_o sun_n mean_a anomaly_n and_o praec_fw-la of_o the_o aequi_n in_o hour_n d_o ☉_o mean_a anomaly_n praecess_n aequinox_n 1_o 0.0114075097_o 0.0000004404_o 2_o 0.0228150195_o 08808_o 3_o 0.0342225293_o 13212_o 4_o 0.0456300391_o 17616_o 5_o 0.0570375489_o 22020_o 6_o 0.0684450587_o 0.0000026424_o 7_o 0.0798525684_o 30828_o 8_o 0.0912600782_o 35232_o 9_o 0.1026675881_o 39636_o 10_o 0.1140750978_o 44041_o 11_o 0.1254826075_o 0.0000048445_o 12_o 0.1368901174_o 0.0000052849_o 13_o 0.1482976271_o 57253_o 14_o 0.1597051368_o 61657_o 15_o 0.1711126465_o 66061_o 16_o 0.1825201562_o 70465_o 17_o 0.1939276659_o 74869_o 18_o 0.2053351761_o 0.0000079272_o 19_o 0.2167426858_o 83677_o 20_o 0.2281501955_o 88081_o 21_o 0.2395577052_o 92485_o 22_o 0.2509652149_o 96889_o 23_o 0.2623727246_o 101293_o 24_o 0.2737802348_o 0.0000105698_o the_o table_n of_o the_o moon_n mean_a motion_n the_o moon_n mean_a longitude_n and_o apogeon_n aera_fw-la ☽_o mean_a longitude_n ☽_o apogaeon_n chr._n 34.0088734567_o 78.8286265432_o 1600_o 02.0644290122_o 63.5892746911_o 1620_o 39.1651134566_o 89.6540895059_o 1640_o 76.2658079010_o 15.7189033207_o 1660_o 13.3665023454_o 41.7837191355_o 1680_o 50.4671967898_o 67.6485339503_o 1700_o 87.5675912342_o 93.9133487651_o 1620_o 29.6685801230_o 19.9781635799_o 1740_o 61.7692801230_o 46.0429783947_o 1760_o 98.8699745674_o 72.1077932095_o  _fw-fr ☽_o mean_a long._n in_o mon._n ☽_o apogaeon_n in_o mont._n janu._n 13.4633984897_o 00.9593447922_o febr._n 15.9464670933_o 01.8258497658_o mar._n 29.4098665830_o 02.7851945580_o april_n 39.2131554440_o 03.7135927440_o may._n 52.6765539337_o 04.6729375362_o june_n 62.4798427947_o 05.6013357222_o july_n 75.9432412844_o 06.5606805144_o aug._n 89.4066397741_o 07.5200253066_o sept._n 99.2099286451_o 08.4484234926_o octo._n 12.6733271348_o 09.4077682848_o nou._n 22.4766159958_o 10.3361664708_o dec._n 35.9400144893_o 11.2955112636_o the_o moon_n mean_a anomaly_n and_o node_n retrograde_a aera_fw-la ☽_o mean_a anomaly_n ☽_o node_n retrograde_a chr._n 55.1802469135_o 74.6984567901_o 1600_o 38.4751543211_o 78.2198302468_o 1620_o 49.5110239507_o 70.7638117283_o 1640_o 60.5469035803_o 63.3077932098_o 1660_o 71.5827832099_o 55.8517746913_o 1680_o 82.6186628395_o 48.3957561728_o 1700_o 93.6545424691_o 40.9397376543_o 1720_o 04.6904220987_o 33.4837191358_o 1740_o 15.7263017283_o 26.0277006173_o 1760_o 26.7621813579_o 18.5716820988_o  _fw-fr ☽_o mean_a ano._n in_o mon._n node_n ret._n in_o mont._n janu._n 12.5040536975_o 00.4559979224_o febr._n 14.7206183275_o 00.8678670136_o mar._n 27.2246720250_o 01.3238649360_o april_n 35.4995627000_o 01.7651532480_o may._n 48.0036163975_o 02.2211511704_o june_n 56.8785070725_o 02.6624394824_o july_n 69.3825607700_o 03.1184374048_o aug._n 81.8866144675_o 03.5744353272_o sept._n 90.7615051425_o 04.0157236392_o octo._n 03.2655588400_o 04.4717215616_o nou._n 12.1404495150_o 04.9130098736_o dec._n 24.6445032256_o 05.3690078260_o the_o moon_n mean_v motion_n in_o julian_n year_n  _fw-fr ☽_o mean_a longitude_n ☽_o apogaeon_fw-mi 1_o 35.9400144893_o 11.2955112636_o 2_o 71.8800289786_o 22.5910225272_o 3_o 07.8200434679_o 33.8865337908_o b_o 4_o 47.4201388888_o 45.2129629629_o 5_o 83.3601533781_o 56.5084742265_o 6_o 19.3001678674_o 67.8039854901_o 7_o 55.2401823567_o 79.0994967537_o b_o 8_o 94.8402777777_o 90.4259259258_o 9_o 30.7802922670_o 01â—7214371894_n 10_o 66.7203067563_o 13.0169484530_o 11_o 02.6603212456_o 24.3124597166_o b_o 12_o 42.2604166666_o 35.6388888888_o 13_o 78._o â—004311559_n 46.9344001524_o 14_o 14.1404456652_o 58_o 2299114â—60_n 15_o 50.0804601545_o 69._o â—2â—4226706_n b_o 16_o 89.6805555555_o 80.8518518518_o 17_o 25.6205700448_o 91.1473631154_o 18_o 61.5605845341_o 02.4428743790_o 19_o 97.5005990234_o 13.7383856426_o b_o 20_o 37.1006944404_o 26_o 0648â—48148_n 40_o 74.2013888888_o 52.1296296296_o 60_o 11.3020833333_o 78.1944444444_o 80_o 48.4027777777_o 04.2592592592_o 100_o 85.5034722222_o 30.3240740740_o 200_o 71.0069444444_o 60_o 648â—â—81â—81_n 300_o 56.5104166666_o 90.9722222222_o 400_o 42.0138888888_o 21.2962962962_o 500_o 27_o 517361111â—_n 51.6003703700_o 600_o 13.0208333333_o 91.9444444442_o 700_o 98.5243055555_o 12.2685185182_o the_o moon_n mean_v motion_n in_o julian_n year_n  _fw-fr ☽_o mean_a anomaly_n ☽_o nodes_fw-la retrograde_a 1_o 24.6445032256_o 05.3690078260_o 2_o 49.2890064512_o 10.7380156520_o 3_o 73.9335096768_o 16.1070234780_o b_o 4_o 02.2071759259_o 21.4912037037_o 5_o 26.8516791515_o 26.7602115297_o 6_o 5â—_n 4951823771_o 32.1292193557_o 7_o 76.1396856027_o 37.4982271817_o b_o 8_o 04.4143518518_o 42.9824074074_o 9_o 29.0588550774_o 48.3514152334_o 10_o 53.7033583030_o 53.7204230594_o 11_o 78.3478615286_o 59.0894308854_o b_o 12_o 06.6215277777_o 64.4736111111_o 13_o 37.2660310033_o 69.8426189371_o 14_o 55.9105342289_o 74.2116267631_o 15_o 80.5550374545_o 79.5806345891_o b_o 16_o 08.8287037037_o 85.9648148148_o 17_o 33.4732069293_o 91.3338226408_o 18_o 58.1177101549_o 96.7028304668_o 19_o 82._o â—622133805_n 02.0718382928_o b_o 20_o 11_o 0â—58796â—97_n 07.4560185185_o 40_o 22.0717592594_o 14.9120370370_o 60_o 33.1076388891_o 22.3680555555_o 80_o 44.1435185188_o 29.8040740740_o 100_o 55.1793981487_o 37.2800925925_o 200_o 10.3587062074_o 74.5601851850_o 300_o 65.5381944461_o 11.8402777775_o 400_o 20.7175925948_o 49.1203703700_o 500_o 75.8969907435_o 86.4004629629_o 600_o 31.0763888922_o 23.6805555555_o 700_o 86.2557870409_o 60.9606481480_o the_o moon_n mean_v motion_n in_o day_n days_n ☽_o mean_a longitude_n ☽_o apogaeon_fw-mi 1_o 03.6601096287_o 00.0309466062_o 2_o 07.3202192574_o 00.0618932124_o 3_o 10.9803288861_o 00.0928398186_o 4_o 14.6404385148_o 00.1237864248_o 5_o 18.3005481435_o 00.1547330310_o 6_o 21.9606577722_o 00.1856796372_o 7_o 25.6207674009_o 00.2166262434_o 8_o 29.2808770296_o 00.2475728496_o 9_o 32.9409866583_o 00.2785194558_o 10_o 36.6010962870_o 00.3094660620_o 11_o 40.2612059157_o 00.3404126682_o 12_o 43.9213155444_o 00.3713592744_o 13_o 47.5814251731_o 00.4023058806_o 14_o 51.2415348018_o 00.4332524868_o 15_o 54.9016444305_o 00.4641990930_o 16_o 58.5617540592_o 00.4951456992_o 17_o 62.2218636879_o 00.5260923054_o 18_o 65.8819733166_o 00.5570389116_o 19_o 69.5420829453_o 00.5879855178_o 20_o 73.2021925740_o 00.6189321240_o 21_o 76.8623022037_o