Selected quad for the lemma: cause_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
cause_n celestial_a circle_n zone_n 19 3 13.6751 5 false
View all documents for the selected quad

Text snippets containing the quad

ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A29742 An account of the rotula arithmetica invented by Mr. George Brown. Brown, George, 1650-1730.; Dary, Michael. Dary's Miscellanies.; Cooke, Francis, fl. 1669. Principles of geometrie.; Georgius, Henisschius. Tables of the astronomical institutions. 1700 (1700) Wing B5019; ESTC R4627 82,687 247

There are 3 snippets containing the selected quad. | View original text

breadth_n and_o in_o colour_n the_o cause_n be_v diverse_a and_o those_o either_o fabulous_a or_o natural_a the_o fabulous_a cause_n be_v in_o number_n 4._o the_o first_o be_v take_v from_o the_o scorch_n of_o the_o ☉_o as_o if_o the_o ☉_o have_v sometime_o make_v his_o motion_n there_o and_o by_o his_o scorch_n have_v cause_v that_o place_n to_o be_v white_a the_o second_o be_v draw_v from_o the_o milk_n of_o juno_n that_o run_v plentiful_o out_o of_o her_o pap_n paint_v this_o circle_n of_o that_o colour_n the_o three_o be_v fetch_v from_o the_o seat_n and_o habitation_n of_o strong_a and_o valiant_a man_n who_o the_o poet_n have_v place_v in_o this_o circle_n the_o four_o be_v derive_v out_o of_o the_o way_n of_o the_o god_n as_o if_o they_o pass_v thereby_o unto_o the_o palace_n of_o jupiter_n the_o natural_a cause_n allege_v although_o they_o be_v many_o yet_o be_v principal_o but_o 3._o the_o first_o by_o theophrastus_n who_o say_v that_o it_o be_v that_o join_v together_o whereby_o the_o heaven_n be_v divide_v into_o two_o hemisphere_n be_v as_o it_o be_v by_o a_o certain_a clay_n fasten_v the_o second_o by_o aristotle_n who_o take_v it_o to_o be_v a_o meteore_n set_v on_o fire_n in_o such_o sort_n as_o a_o comet_n the_o three_o be_v astronomical_a which_o affirm_v that_o it_o be_v a_o girdle_n cause_v by_o many_o little_a star_n as_o it_o be_v one_o touch_v another_o in_o the_o which_o concur_v in_o that_o place_n the_o light_n of_o the_o sun_n be_v diffuse_v the_o distinct_a star_n that_o make_v it_o be_v cheiflie_o these_o the_o arowe_n the_o eagle_n the_o bow_n of_o ♐_o the_o altar_n the_o 4._o foot_n of_o the_o centaur_n the_o ship_n argo_n the_o head_n of_o the_o dog_n the_o right_a hand_n of_o orion_n erichthonius_n or_o the_o wagoner_n with_o the_o goat_n on_o his_o shoulder_n perseus_n cassiopeia_n and_o the_o swan_n of_o the_o 5_o principal_a region_n of_o the_o world_n common_o call_v zone_n chap._n 29._o the_o universal_a globe_n aswell_o of_o the_o heaven_n as_o of_o the_o earth_n answerable_a thereunto_o be_v distinguish_v into_o certain_a orbicular_a tract_n which_o the_o space_n comprehend_v between_o the_o 4._o parallel_n do_v make_v of_o which_o tract_n we_o may_v consider_v the_o name_n the_o definition_n the_o general_a number_n and_o their_o distance_n one_o from_o another_o their_o name_n be_v diverse_a for_o they_o be_v call_v either_o zone_n or_o swaddle_a band_n or_o girdle_n or_o mash_n or_o coast_n they_o be_v define_v to_o be_v the_o space_n either_o of_o the_o heaven_n or_o of_o the_o earth_n comprehend_v between_o two_o less_o parallel_n or_o else_o include_v on_o everye_o side_n with_o the_o polare_fw-la circle_n their_o general_a number_n be_v twofolde_v for_o either_o they_o be_v celestial_a and_o so_o the_o cause_n of_o the_o terrestrial_a or_o else_o they_o be_v terrestrial_a of_o the_o same_o proportion_n with_o the_o celestial_a the_o celestial_a be_v either_o mean_a or_o extreme_a or_o between_o mean_a and_o extreme_a the_o mean_a be_v that_o zone_n which_o be_v include_v between_o the_o 2._o tropicke_n and_o be_v cut_v in_o two_o equal_a part_n by_o the_o equator_fw-la the_o extreme_n or_o polare_fw-la zone_n be_v those_o whereof_o be_v but_o 2_o the_o one_o be_v call_v the_o septentrional_a zone_n within_o the_o arctic_a circle_n the_o other_o the_o meridional_a zone_n within_o the_o antarcticke_a circle_n the_o zone_n between_o mean_a and_o extreme_a be_v also_o 2._o whereof_o the_o one_o be_v septentrional_a comprehend_v between_o the_o tropic_n of_o ♋_o and_o the_o circle_n arctic_a and_o the_o other_o meridional_a comprehend_v between_o the_o tropic_n of_o ♑_o and_o the_o circle_n antarctic_a the_o terrestrial_a zone_n have_v the_o same_o reason_n with_o the_o celestial_a aswell_o in_o respect_n of_o their_o number_n as_o in_o regard_n of_o their_o name_n the_o terrestrial_a zone_n be_v also_o 5._o in_o number_n answer_v proportionallye_o unto_o the_o 5._o celestial_a zone_n conical_o mark_v out_o by_o the_o 4._o celestial_a parallel_n the_o terrestrial_a zone_n have_v the_o same_o reason_n with_o the_o celestial_a in_o respect_n of_o their_o name_n also_o for_o that_o terrestrial_a zone_n that_o be_v under_o the_o mean_a celestial_a be_v call_v mean_a those_o which_o be_v under_o the_o extreme_n or_o polares_fw-la be_v call_v extreme_n septentrional_a or_o meridional_a and_o those_o which_o be_v under_o the_o zone_n between_o mean_a and_o extreme_a have_v their_o name_n according_o and_o be_v either_o northerly_a or_o southerlie_a the_o distance_n one_o from_o another_o be_v in_o this_o manner_n the_o mean_a or_o burn_a zone_n according_a to_o the_o latitude_n reckon_v in_o the_o meridian_n contain_v 47._o gr_n or_o 705._o mile_n the_o extreme_a intemperate_a zone_n do_v each_o of_o they_o according_a to_o the_o say_a reckon_n contain_v as_o many_o degree_n and_o mile_n as_o the_o mean_a the_o temperate_a zone_n between_o mean_a and_o extreme_a do_v each_o of_o they_o contain_v according_a to_o the_o former_a reckon_n 41._o gr_n or_o 645._o mile_n the_o difference_n of_o the_o zone_n and_o the_o manner_n how_o all_o place_n upon_o the_o earth_n may_v be_v bring_v within_o their_o compass_n chap._n 30._o the_o difference_n also_o of_o the_o zone_n as_o well_o celestial_a as_o terrestrial_a and_o the_o reason_n how_o all_o place_n upon_o earth_n may_v be_v refer_v unto_o they_o be_v worthy_a the_o note_n their_o difference_n be_v to_o be_v consider_v either_o in_o respect_n of_o their_o figure_n or_o their_o accidental_a nature_n the_o figure_n of_o the_o mean_a be_v uniform_a and_o for_o the_o most_o part_n alike_o the_o figure_n of_o the_o extreme_n be_v either_o of_o they_o equal_a to_o other_o yet_o such_o as_o that_o they_o seem_v rather_o to_o carry_v the_o shape_n of_o circle_n then_o of_o zone_n the_o figure_n of_o the_o zone_n between_o mean_a and_o extreme_a be_v either_o of_o they_o alike_o and_o equal_a unto_o the_o other_o yet_o about_o the_o tropick_n their_o figure_n be_v limit_v with_o a_o great_a compass_n then_o toward_o the_o polare_fw-la circle_n the_o accidental_a nature_n of_o the_o zone_n be_v that_o in_o regard_n whereof_o they_o be_v say_v to_o be_v mean_a extreme_a and_o between_o mean_a and_o extreme_a the_o mean_a or_o burn_a zone_n be_v divide_v into_o 2._o part_n whereof_o the_o one_o be_v situate_v under_o the_o equator_fw-la the_o other_o about_o the_o tropicke_n that_o part_n which_o be_v situate_v under_o the_o equator_fw-la seem_v to_o be_v temperate_a and_o that_o for_o three_o cause_n 1._o by_o reason_n of_o the_o sudden_a and_o cross_a access_n and_o recess_n of_o the_o sun_n 2._o by_o reason_n of_o the_o continual_a equality_n of_o the_o night_n and_o day_n in_o that_o place_n 3._o by_o reason_n of_o the_o swift_a carry_v about_o of_o the_o ☉_o by_o the_o first_o motion_n that_o part_n which_o be_v situate_v under_o the_o tropicke_n be_v hard_o to_o be_v inhabit_v and_o that_o also_o for_o 3._o cause_n 1._o for_o the_o slow_a conversion_n of_o the_o ☉_o 2._o for_o the_o double_a projection_n of_o the_o sunbeam_n upon_o those_o place_n 3._o for_o the_o great_a increase_n of_o the_o summer_n day_n above_o the_o night_n the_o extreme_a zone_n be_v both_o of_o they_o freeze_a by_o reason_n of_o the_o too_o much_o cold_a that_o fall_v out_o there_o by_o mean_n of_o the_o oblique_a projection_n and_o reflection_n of_o the_o sun_n beam_n the_o zone_n between_o mean_a and_o extreme_a be_v both_o of_o they_o temperate_a and_o be_v divide_v into_o 3._o region_n whereof_o one_o be_v situate_v about_o the_o middle_a part_n thereof_o which_o we_o judge_v simple_o to_o be_v temperate_a by_o reason_n of_o the_o moderate_a heat_n of_o the_o ☉_o namely_o from_o 34._o gr_n unto_o 48._o gr_n distance_n from_o the_o equator_fw-la the_o other_o 2._o region_n be_v about_o the_o extreme_n thereof_o the_o one_o be_v about_o the_o tropick_n and_o so_o subject_a unto_o the_o intemperate_a heat_n of_o the_o burn_a zone_n the_o other_o nigh_o unto_o the_o polares_fw-la and_o therefore_o subject_a unto_o the_o intemperate_a cold_n of_o the_o freeze_a zone_n the_o reason_n how_o all_o place_n upon_o the_o earth_n may_v be_v refer_v unto_o those_o zone_n have_v two_o consideration_n 1._o if_o the_o place_n have_v septentrional_a latitude_n and_o that_o less_o than_o the_o great_a declination_n of_o the_o ☉_o they_o belong_v unto_o the_o burn_a zone_n if_o equal_a unto_o the_o trop_fw-fr of_o ♋_o if_o great_a and_o yet_o not_o exceed_v ♋_o gr_n 30._o mi._n they_o belong_v unto_o the_o temperate_a zone_n if_o the_o say_v septentrional_a latitude_n be_v equal_a unto_o the_o compliment_n of_o the_o great_a obliquation_n they_o must_v be_v place_v under_o the_o arctic_a circle_n if_o great_a under_o the_o freeze_a zone_n 2._o if_o the_o
general_a reason_n be_v either_o in_o respect_n of_o their_o name_n or_o their_o definition_n they_o be_v name_v by_o the_o greek_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d tropicke_n by_o the_o latin_v versiles_n conversius_fw-la vertentes_fw-la tourn_v and_o the_o solstitial_a parallel_n their_o definition_n contain_v their_o quantity_n and_o their_o circumference_n their_o quantity_n be_v note_v either_o in_o respect_n of_o the_o other_o circle_n these_o be_v count_v in_o the_o number_n of_o the_o less_o circle_n or_o in_o regard_n of_o themselves_o whereby_o they_o be_v count_v equal_a in_o asmuch_o as_o they_o be_v equal_o distant_a from_o the_o centre_n of_o the_o world_n be_v separate_v the_o one_o from_o the_o other_o by_o the_o double_a distance_n of_o the_o ☉_o great_a declination_n their_o circumference_n be_v that_o round_a compass_n which_o the_o ☉_o pass_v through_o the_o 2_o solstitial_a point_n do_v describe_v they_o be_v in_o number_n 2._o the_o one_o septentrional_a the_o other_o meridional_a the_o septentrional_a tropic_n be_v on_o this_o side_n of_o the_o equator_fw-la in_o respect_n of_o we_o which_o we_o call_v either_o the_o summer_n tropic_n for_o that_o it_o pass_v through_o the_o point_n of_o the_o summer_n solstice_n or●ls_v the_o tropic_n of_o ♋_o because_o it_o be_v describe_v through_o the_o end_n of_o ♊_o &_o the_o beginning_n of_o ♋_o the_o meridional_a tropic_n be_v situate_v on_o the_o other_o side_n of_o the_o equator_fw-la and_o be_v call_v either_o the_o winter_n tropic_n as_o pass_v through_o the_o point_n of_o the_o winter_n solstice_n or_o the_o tropic_n of_o ♑_o because_o it_o be_v draw_v through_o the_o head_n of_o ♑_o the_o office_n and_o commodity_n of_o they_o be_v in_o number_n 4._o 1_o they_o show_v the_o trope_n that_o be_v the_o conversion_n or_o tourning_n of_o the_o ☉_o aswell_o in_o summer_n happen_v in_o our_o age_n the_o 3._o and_o 2._o of_o the_o ides_n of_o june_n as_o also_o in_o winter_n the_o 3._o &_o 2._o of_o the_o ides_n of_o december_n 2_o they_o show_v in_o every_o situation_n of_o the_o sphere_n both_o the_o long_a day_n which_o be_v as_o long_o as_o the_o diurnal_a ark_n of_o the_o tropic_n of_o ♋_o contain_v hour_n and_o the_o short_a day_n which_o be_v as_o long_o as_o the_o space_n of_o hour_n contain_v within_o the_o diurnal_a ark_n of_o the_o tropic_n of_o ♑_o 3_o they_o point_n out_o the_o limit_n of_o the_o course_n of_o the_o ☉_o and_o his_o great_a declination_n which_o be_v 23._o gr_n 52._o mi._n as_o in_o the_o time_n of_o aristarchus_n &_o ptolemee_n or_o 23._o gr_n 28._o mi._n as_o it_o be_v now_o in_o our_o time_n 4_o they_o show_v the_o burn_a zone_n which_o they_o separate_v from_o the_o temperate_a and_o the_o midst_n of_o the_o second_o climate_n which_o they_o call_v dia-syenes_a and_o anti-dia-syenes_a of_o the_o 2._o polare_fw-la circle_n chap._n 26._o the_o two_o pole_n of_o the_o zodiac_n carry_v about_o by_o the_o regular_fw-la revolution_n of_o the_o universal_a frame_n describe_v about_o the_o pole_n of_o the_o world_n two_o circle_n whereof_o the_o general_a reason_n the_o number_n and_o the_o use_n be_v to_o be_v note_v the_o general_a reason_n offer_v to_o our_o consideration_n their_o name_n their_o definition_n and_o their_o accident_n they_o be_v call_v the_o polare_fw-la circle_n either_o because_o they_o be_v describe_v about_o the_o pole_n or_o by_o the_o pole_n their_o definition_n by_o the_o latin_n it_o be_v make_v by_o their_o quantity_n and_o their_o circumference_n and_o plane_n touch_v their_o quantity_n they_o be_v in_o the_o number_n of_o the_o less_o circle_n equal_a in_o all_o place_n their_o circumference_n and_o plane_n be_v describe_v either_o by_o line_n draw_v from_o the_o pole_n of_o the_o zodiac_n unto_o the_o axe_n of_o the_o world_n at_o right_a angle_n and_o have_v by_o the_o daily_a motion_n a_o perfect_a revolution_n or_o else_o they_o be_v describe_v by_o certain_a semidiameter_n draw_v from_o the_o centre_n of_o the_o earth_n unto_o the_o pole_n of_o the_o zodiac_n and_o turn_v about_o by_o the_o diurnal_a and_o nocturnal_a motion_n the_o accident_n of_o the_o polare_fw-la circle_n do_v determine_v either_o their_o equality_n for_o they_o be_v parallel_n compare_v either_o one_o with_o another_o in_o asmuch_o as_o they_o be_v equidistant_a from_o the_o centre_n or_o compare_v with_o the_o tropick_n &_o the_o equator_fw-la or_o else_o they_o determine_v their_o distance_n either_o from_o the_o next_o tropic_n which_o be_v 43._o gr_n or_o from_o the_o pole_n of_o the_o world_n which_o be_v equal_a unto_o the_o ☉_o great_a declination_n they_o be_v two_o in_o number_n the_o one_o septentrional_a the_o other_o meridional_a the_o septentrional_a polare_fw-la circle_n be_v describe_v by_o the_o north_n pole_n of_o the_o ecliptic_a the_o meridional_a by_o the_o south_n pole_n thereof_o the_o septentrional_a polare_fw-la circle_n be_v call_v boreall_n north_n of_o the_o north_n wind_v call_v boreas_n and_o arctic_a and_o septentrional_a because_o of_o the_o 2._o constellation_n the_o one_o of_o the_o great_a bear_v call_v arctos_n the_o other_o of_o the_o less_o bear_v call_v septentriones_fw-la which_o be_v nigh_o thereunto_o the_o meridional_a polare_fw-la circle_n be_v call_v australl_a or_o southern_a of_o the_o south_n wind_v call_v auster_n and_o antarcticke_a ●s_a opposite_a unto_o the_o arctic_a and_o meridional_a of_o the_o south_n part_n of_o heaven_n call_v meridy_n their_o use_n be_v note_v in_o that_o they_o comprehend_v the_o cold_a and_o freeze_a zone_n and_o the_o inhabitant_n of_o the_o earth_n call_v perison_n who_o shadow_n go_v round_o about_o they_o and_o on_o either_o side_n limit_v the_o the_o distance_n of_o the_o pole_n the_o polare_fw-la circle_n otherwise_o describe_v according_a to_o the_o grecian_n chap._n 27._o the_o polare_fw-la circle_n be_v describe_v either_o according_a to_o the_o great_a declination_n of_o the_o ☉_o or_o the_o altitude_n of_o the_o pole_n above_o the_o horizon_n the_o great_a declination_n of_o the_o ☉_o by_o mean_n of_o the_o motion_n of_o inclination_n of_o the_o eight_o sphere_n be_v diverse_a for_o it_o be_v one_o in_o time_n past_a and_o be_v find_v to_o be_v another_o now_o and_o of_o such_o circle_n the_o reason_n be_v declare_v in_o the_o chapter_n before_o the_o polare_fw-la circle_n describe_v according_a to_o the_o altitude_n of_o the_o pole_n require_v the_o consideration_n of_o their_o definition_n their_o variety_n their_o office_n and_o the_o manner_n of_o their_o description_n in_o define_v the_o arctic_a polate_a circle_n we_o say_v 1._o that_o it_o be_v the_o great_a of_o those_o circle_n which_o be_v always_o in_o our_o sight_n that_o be_v of_o those_o which_o we_o may_v see_v at_o the_o same_o instant_n 2._o that_o it_o touch_v the_o horizon_n in_o one_o point_n 3._o that_o it_o be_v altogether_o above_o the_o earth_n in_o define_v the_o antarctick_a polare_fw-la circle_n we_o say_v 1._o that_o it_o be_v equal_a and_o parallel_v unto_o the_o arctic_a 2._o that_o it_o touch_v the_o horizon_n in_o one_o point_n 3._o that_o it_o be_v altogether_o hide_a under_o the_o earth_n the_o variety_n be_v manifold_a according_a to_o the_o didiversitie_n of_o the_o climate_n for_o either_o they_o be_v not_o at_o àll_a as_o in_o a_o right_a sphere_n it_o happen_v where_o exclude_v altogether_o the_o polare_fw-la circle_n the_o greek_n recon_fw-mi 3._o parallel_n only_o or_o else_o they_o be_v and_o those_o sometime_o either_o less_o equal_a or_o great_a than_o the_o tropicke_n or_o else_o they_o be_v equal_a unto_o the_o equator_fw-la and_o the_o horizon_n for_o by_o how_o much_o the_o pole_n shall_v be_v high_o by_o so_o much_o shall_v these_o circle_n be_v great_a the_o office_n and_o use_n of_o the_o arctic_a circle_n be_v in_o that_o it_o show_v the_o star_n that_o never_o arise_v ●nor_n set_v of_o the_o antarcticke_a circle_n the_o con●trary_a be_v to_o be_v conceive_v the_o mean_n of_o their_o description_n be_v by_o those_o star_n that_o in_o any_o region_n do_v touch_v the_o horizon_n of_o the_o milky_a circle_n chap._n 28._o of_o all_o the_o circle_n there_o be_v none_o to_o be_v see_v beside_o the_o milky_a circle_n which_o for_o that_o the_o greek_n do_v recon_fw-mi among_o the_o other_o circle_n we_o will_v express_v the_o name_n the_o definition_n the_o cause_n thereof_o and_o the_o distinct_a star_n which_o make_v the_o same_o the_o name_n be_v diverse_a as_o galaxia_fw-la the_o milky_a orb_n or_o circle_n the_o milky_a zone_n or_o milky_a way_n the_o arabian_n dal_n it_o matarati_n as_o it_o be_v a_o broad_a space_n or_o ark_n that_o move_v it_o be_v define_v to_o be_v one_o of_o the_o great_a circle_n oblique_a draw_v or_o stretch_v towards_o both_o the_o pole_n most_o bright_o shine_v apparent_a unto_o the_o sense_n inequal_a both_o in_o
on_o the_o one_o side_n long_o from_z whence_o be_v derive_v figure_n long_o and_o broad_a as_o pillar_n or_o cylinder_n or_o else_o they_o be_v of_o other_o sort_n which_o be_v infinite_a from_o whence_o diverse_a form_n and_o kind_n of_o body_n be_v draw_v the_o regular_fw-la body_n contain_v under_o surface_n fold_v one_o towards_o another_o be_v only_o these_o 5._o the_o tetraedrons_n the_o hexaedrons_n the_o octaedrons_n the_o dodecaedrons_n and_o the_o lcosaedron_n irregulare_fw-la body_n be_v such_o as_o inequal_a surface_n do_v limit_n and_o describe_v the_o which_o surface_n be_v either_o turn_v round_o or_o fold_a one_o towards_o another_o the_o surface_v turn_v round_o and_o make_v irregulare_fw-la bodies_z be_v either_o the_o section_n of_o circle_n or_o else_o they_o be_v inequal_a right_n line_v figure_n the_o section_n of_o circle_n be_v either_o great_a than_o a_o semicircle_n whereof_o the_o lenticulare_a body_n be_v make_v or_o else_o they_o be_v less_o than_o a_o semicircle_n and_o thereby_o be_v the_o onalle_n make_v the_o inequal_a right_n line_v figure_n by_o who_o conversion_n the_o irregulare_fw-la body_n be_v make_v may_v be_v of_o what_o sort_n soever_o whereby_o diverse_a kind_n of_o vessel_n be_v frame_v either_o want_v or_o exceed_v the_o regular_fw-la form_n the_o irregulare_fw-la body_n màde_v of_o inequal_a surface_n fold_v one_o towards_o another_o may_v differ_v infinite_o of_o the_o name_n and_o definition_n of_o the_o sphere_n chap._n 6._o in_o as_o much_o as_o we_o make_v often_o mention_v of_o the_o sphere_n and_o thereafter_o do_v entitle_v this_o present_a treatise_n the_o doctrine_n of_o the_o sphere_n it_o shall_v not_o be_v amiss_o to_o declare_v the_o name_n and_o the_o definition_n thereof_o the_o name_n be_v use_v in_o diverse_a signification_n 1._o it_o signify_v sometime_o any_o solid_a regular_fw-la body_n limit_v with_o one_o surface_n only_o 2._o sometime_o it_o signify_v a_o instrument_n that_o do_v instisie_n the_o apparence_n of_o heaven_n and_o contain_v the_o celestial_a circle_n and_o be_v otherwise_o term_v a_o ring_n or_o material_a sphere_n 3._o sometime_o it_o signify_v the_o whole_a world_n whereunto_o all_o the_o condition_n of_o the_o sphere_n may_v be_v apply_v for_o it_o be_v a_o solid_a body_n wherein_o nature_n abhor_v that_o any_o emptiness_n shall_v be_v giu●_fw-la it_o have_v a_o spherical_a form_n run_v daily_o about_o his_o own_o axis_n without_o intermission_n it_o have_v a_o point_n place_v in_o the_o midst_n thereof_o namely_o the_o earth_n the_o definition_n thereof_o as_o it_o signify_v any_o body_n be_v by_o io._n desacro_fw-la baseo_fw-la set_v down_o two_o way_n the_o one_o after_o encl._n 11._o elem._n the_o other_o out_o of_o theodosius_n the_o definition_n thereof_o take_v out_o of_o euclid_n contain_v the_o geometrical_a description_n of_o the_o sphere_n for_o the_o sphere_n be_v describe_v by_o the_o fix_a and_o unmoved_a diameter_n and_o by_o the_o a●ke_n of_o the_o semicircle_n which_o must_v be_v full_o bring_v about_o the_o definition_n of_o a_o sphere_n according_a to_o theodosius_n determine_v first_o the_o orbiculate_a form_n every_o part_n whereof_o be_v equal_o distant_a from_o the_o centre_n second_o the_o principal_a part_n as_o the_o convexe_n surface_n which_o be_v but_o one_o and_o the_o centre_n that_o be_v the_o point_n in_o the_o midst_n equidistant_a from_o every_o part_n of_o the_o surface_n and_o the_o axis_n about_o which_o the_o sphere_n be_v turn_v and_o which_o be_v limit_v by_o the_o 2_o pole_n viz._n the_o north_n pole_n or_o pole_n arctic_a and_o the_o south_n pole_n or_o pole_n antarcticke_a and_o three_o the_o solidity_n for_o it_o be_v a_o complete_a body_n have_v all_o the_o dimension_n the_o division_n of_o the_o celestial_a sphere_n chap._n 7._o the_o celestial_a sphere_n according_a to_o io._n de_fw-fr sacro_fw-la bosco_fw-la admit_v a_o double_a division_n according_a to_o substance_n and_o according_a to_o accident_n the_o celestial_a sphere_n consider_v according_a to_o the_o substance_n be_v divide_v into_o several_a orb_n in_o the_o which_o we_o be_v to_o note_v the_o number_n and_o the_o cause_n the_o number_n be_v diverse_o set_v down_o for_o the_o ancients_n content_v themselves_o with_o 8._o orb_n only_o do_v distinguish_v they_o into_o the_o orb_n of_o the_o 7._o planet_n viz_o of_o ♄_o ♃_o ♂_o ☉_o ♀_o ☿_o and_o ☽_o and_o the_o firmament_n of_o the_o fix_a star_n and_o the_o late_a astronomer_n unto_o the_o time_n of_o alphonsus_n into_o 9_o orb_n but_o the_o modern_a among_o who_o purbachius_n be_v the_o first_o add_v the_o ten_o the_o cause_n be_v consider_v either_o in_o the_o diversity_n of_o their_o number_n note_v both_o by_o the_o former_a and_o late_a astronomer_n or_o in_o their_o order_n the_o ancient_a astronomer_n note_v their_o diverse_a number_n either_o by_o the_o brightness_n of_o the_o star_n reckon_n so_o many_o orb_n as_o they_o perceive_v to_o contain_v any_o star_n or_o by_o the_o peculiar_a motion_n of_o each_o several_a orb_n reckon_n so_o many_o orb_n as_o they_o find_v simple_a motion_n belong_v thereunto_o the_o late_a astronomer_n for_o instruction_n and_o the_o better_a reconing_n sake_n add_v the_o nine_o and_o the_o ten_o as_o circle_n necessary_a for_o the_o understanding_n of_o the_o motion_n of_o the_o 8._o sphere_n unknown_a unto_o the_o ancient_a astronomer_n the_o order_n be_v prove_v 1._o by_o the_o slow_a motion_n of_o the_o high_a and_o the_o swift_a motion_n of_o the_o low_a orb_n 2._o by_o the_o occultation_n or_o hide_v of_o the_o high_a star_n by_o the_o low_a 3._o by_o the_o diversity_n of_o apect_n either_o great_a or_o little_a or_o insensible_a the_o celestial_a sphere_n consider_v according_a unto_o accident_n that_o be_v according_a to_o the_o situation_n of_o the_o heaven_n or_o the_o course_n of_o the_o star_n be_v distinguish_v into_o a_o right_n or_o a_o oblique_a sphere_n the_o right_a sphere_n belong_v unto_o those_o that_o dwell_v under_o the_o equinoctial_a who_o by_o reason_n that_o the_o pole_n of_o the_o world_n about_o the_o which_o the_o star_n be_v carry_v by_o the_o first_o movable_a have_v none_o elevation_n as_o also_o for_o that_o the_o horizon_n cut_v all_o the_o parallel_n under_o which_o the_o star_n do_v go_v at_o right_a angle_n perceive_v no_o reflection_n in_o the_o diurnal_a motion_n of_o the_o star_n the_o sphere_n be_v say_v to_o be_v oblique_a wherein_o the_o o_o and_o the_o rest_n of_o the_o star_n be_v carry_v from_o the_o east_n into_o the_o west_n by_o a_o oblique_a motion_n and_o it_o be_v septentrional_a unto_o those_o that_o have_v the_o north_n pole_n elevate_v and_o meridional_a unto_o those_o under_o the_o southern_a elevation_n the_o partition_n of_o the_o whole_a world_n and_o the_o comparison_n of_o the_o celestial_a with_o the_o elemental_a sphere_n chap._n 8._o the_o whole_a frame_n of_o the_o world_n be_v make_v of_o some_o certain_a and_o those_o more_o principal_a and_o notable_a part_n whereof_o there_o be_v first_o the_o number_n and_o the_o name_n and_o then_o the_o difference_n to_o be_v consider_v the_o number_n and_o name_n be_v double_a for_o the_o part_n be_v either_o ethereal_a or_o sublunare_v the_o aethereal_a that_o be_v the_o celestial_a part_n without_o the_o which_o philosophy_n admit_v nothing_o to_o be_v although_o the_o divine_n do_v add_v the_o three_o which_o they_o call_v angelical_a and_o the_o platonic_n intellectual_a be_v that_o whereof_o we_o entreat_v in_o the_o 7._o chapter_n the_o sublunare_n be_v that_o which_o contain_v the_o elemental_a body_n and_o those_o either_o simple_a as_o the_o fire_n the_o aer_fw-la the_o water_n the_o earth_n or_o else_o mix_v which_o be_v diverse_a and_o innumerable_a engender_v of_o the_o 4._o element_n either_o perfect_a or_o imperfect_a the_o difference_n or_o dissimilitude_n of_o the_o part_n of_o the_o world_n be_v that_o whereby_o they_o be_v distinguish_v one_o from_o another_o either_o in_o respect_n of_o their_o situation_n or_o of_o their_o dignity_n magnitude_n motion_n or_o their_o office_n they_o be_v distinguish_v according_a to_o their_o situation_n for_o the_o celestial_a part_n have_v obtain_v the_o high_a place_n the_o elemental_a the_o low_a their_o distinction_n according_a to_o dignity_n be_v note_v in_o the_o part_n contain_v by_o the_o celestial_a region_n which_o part_n be_v bright_a and_o immortal_a and_o by_o the_o elemental_a region_n those_o part_n be_v of_o their_o own_o nature_n obscure_a and_o decay_a or_o else_o it_o be_v note_v in_o the_o part_n contain_v whereof_o the_o one_o be_v altogether_o with_o out_o alteration_n neither_o increase_v nor_o diminish_v the_o other_o be_v continual_o subject_a unto_o generation_n and_o corruption_n and_o be_v increase_v and_o diminish_v their_o distinction_n according_a to_o their_o magnitude_n be_v consider_v in_o that_o the_o celestial_a part_n with_o the_o great_a