the_o earth_n albategnius_n affirm_v the_o star_n of_o mercury_n to_o be_v least_o of_o all_o the_o star_n and_o suppose_v or_o account_v he_o to_o be_v as_o one_o part_n of_o 19000._o part_n of_o the_o earth_n the_o high_a ascension_n of_o mercury_n sphere_n be_v from_o the_o earth_n after_o albategnius_n distant_a 166._o semidiametres_fw-fr but_o the_o low_a point_n in_o the_o same_o orb_n be_v 56._o semidiametres_fw-fr distant_a from_o the_o earth_n the_o moon_n be_v low_a of_o all_o the_o planet_n do_v compass_n about_o the_o whole_a zodiac_n in_o 27._o day_n 7._o hour_n 43._o minute_n and_o 7._o second_n she_o be_v lesser_a than_o the_o earth_n after_o the_o judgement_n of_o ptolemy_n by_o three_o hundred_o nine_o time_n and_o a_o unity_n more_o than_o eight_o part_n for_o the_o triple_a proportion_n of_o the_o diametre_fw-la of_o the_o earth_n unto_o the_o moon_n by_o devide_v above_o the_o five_o part_n be_v even_o the_o like_a as_o 27._o unto_o 5._o but_o lesser_a she_o be_v 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the_o east_n or_o west_n appear_v sometime_o great_a be_v not_o cause_v by_o reason_n of_o the_o short_a distance_n but_o for_o that_o their_o beam_n in_o the_o vapour_n which_o often_o time_n consist_v in_o the_o air_n between_o the_o star_n and_o our_o eye_n be_v then_o break_v which_o break_v of_o they_o cause_v the_o body_n of_o the_o star_n see_v to_o appear_v much_o great_a in_o the_o eye_n then_o in_o deed_n it_o be_v that_o heaven_n be_v draw_v circular_o be_v thus_o know_v in_o that_o we_o always_o see_v all_o the_o star_n from_o the_o east_n into_o the_o west_n to_o be_v draw_v upward_o and_o that_o the_o hemisphere_n in_o our_o sight_n be_v carry_v continual_o in_o distant_a circle_n equidistant_a never_o change_v the_o stand_n or_o distance_n one_o from_o another_o neither_o in_o bigness_n as_o far_o as_o the_o judgement_n of_o the_o eye_n can_v discern_v neither_o any_o whit_n lesson_v for_o they_o be_v drawue_a from_o the_o nether_a place_n as_o from_o the_o earth_n be_v 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they_o in_o the_o west_n as_o pliny_n write_v of_o arbelis_n be_v a_o town_n in_o asiria_n where_o a_o eclipse_n of_o the_o moon_n be_v see_v in_o the_o second_o hour_n of_o the_o night_n which_o in_o sicily_n be_v see_v in_o the_o first_o hour_n of_o the_o night_n for_o the_o assyrian_n be_v more_o easterly_a than_o the_o sicilian_n and_o therefore_o do_v the_o sun_n set_v soon_o with_o they_o then_o with_o the_o siciliaus_n and_o when_o it_o be_v also_o the_o second_o hour_n of_o the_o night_n in_o assiria_n the_o sun_n first_o set_v in_o sicilia_n about_o the_o first_o hour_n of_o the_o night_n moreover_o the_o pole_n of_o the_o world_n according_a to_o the_o diversity_n of_o place_n be_v elevate_v and_o
experience_n gainsayth_n and_o deni_v muchlesse_a therefore_o can_v it_o be_v great_a ten_o time_n by_o which_o be_v to_o be_v conclude_v that_o the_o water_n be_v but_o little_a in_o quantity_n in_o respect_n of_o the_o earth_n although_o it_o may_v seem_v very_o big_a be_v up_o to_o the_o edge_n of_o the_o upper_a face_n of_o the_o earth_n and_o if_o the_o water_n have_v be_v more_o big_a than_o the_o earth_n they_o have_v drown_v or_o cover_v the_o whole_a earth_n even_o of_o late_a year_n that_o the_o earth_n employ_v the_o middle_a place_n of_o the_o world_n and_o be_v the_o centre_n of_o the_o whole_a a_o ristarchus_n samius_n which_o be_v 261_o year_n before_o the_o birth_n of_o christ_n take_v the_o earth_n from_o the_o middle_n of_o the_o world_n and_o place_v it_o in_o a_o peculiar_a orb_n include_v within_o marses_n and_o venus_n sphere_n and_o to_o be_v draw_v about_o by_o peculiar_a motion_n about_o the_o sun_n which_o he_o feign_v to_o stand_v in_o the_o middle_a of_o 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behold_v they_o therefore_o be_v they_o in_o a_o equal_a distance_n from_o the_o earth_n the_o roundness_n of_o the_o earthly_a globe_n have_v a_o proportion_n unto_o the_o roundness_n of_o heaven_n that_o be_v the_o certain_a and_o proportional_a part_n in_o the_o earthly_a globe_n do_v answer_n to_o certain_a proportional_a part_n of_o heaven_n therefore_o be_v the_o earth_n the_o centre_n of_o the_o world_n in_o that_o siftéene_a german_a mile_n on_o earth_n do_v answer_n to_o a_o degree_n of_o the_o meridian_n and_o that_o in_o every_o hour_n do_v fifteen_o degree_n arise_v of_o the_o equinoctial_a which_o can_v not_o be_v if_o the_o earth_n be_v not_o in_o the_o middle_n of_o the_o world_n for_o the_o unequal_a ark_n shall_v otherwise_o appear_v in_o the_o equal_a time_n and_o the_o equal_a part_n of_o the_o meridian_n shall_v the_o unequal_a space_n on_o earth_n answer_v which_o experience_n daily_o witness_v unto_o the_o contrary_n and_o hereof_o it_o ensue_v that_o the_o earth_n stand_v in_o the_o middle_n of_o the_o world_n in_o every_o artificial_a day_n do_v six_o sign_n appear_v and_o six_o like_v set_v under_o the_o earth_n therefore_o be_v the_o earth_n in_o the_o middle_n of_o the_o world_n and_o be_v also_o as_o a_o prick_n to_o which_o the_o half_a do_v regular_o move_v daily_o the_o like_a be_v in_o the_o opposition_n of_o the_o sun_n and_o moon_n when_o either_o light_n be_v in_o the_o horizont_n which_o can_v not_o be_v if_o the_o earth_n shall_v approach_v or_o come_v near_o unto_o one_o part_n then_o unto_o the_o other_o if_o it_o be_v near_o to_o either_o of_o the_o pole_n than_o can_v not_o the_o universal_a equinoctial_o be_v for_o that_o the_o one_o ark_n always_o either_o in_o the_o day_n and_o night_n time_n shall_v be_v great_a than_o the_o other_o the_o eccclipse_n also_o can_v not_o be_v in_o the_o change_n and_o full_a moon_n for_o that_o there_o shall_v then_o be_v uneven_a space_n from_o the_o south_n unto_o the_o north_n and_o from_o the_o east_n unto_o the_o west_n if_o the_o earth_n be_v not_o as_o the_o centre_n of_o the_o world_n then_o of_o necessity_n shall_v these_o ensue_v that_o the_o earth_n shall_v approach_v either_o near_o to_o the_o east_n or_o west_n or_o south_n part_n and_o when_o any_o of_o the_o star_n aswell_o the_o fix_a as_o planet_n shall_v come_v unto_o that_o part_n they_o shall_v appear_v near_o to_o we_o then_o be_v in_o any_o other_o part_n of_o heaven_n and_o by_o that_o above_o say_v they_o shall_v also_o appear_v great_a which_o be_v altogether_o untrue_a and_o we_o also_o see_v the_o contrary_a in_o that_o as_o above_o write_v they_o always_o appear_v of_o one_o greatness_n either_o be_v in_o the_o east_n or_o in_o the_o west_n also_o one_o half_a of_o heaven_n be_v always_o above_o the_o earth_n and_o the_o other_o half_n under_o the_o earth_n and_o this_o be_v not_o only_o find_v and_o know_v in_o one_o quarter_n of_o the_o earth_n but_o the_o like_a in_o every_o place_n as_o the_o equinoctial_o do_v witness_n than_o which_o there_o can_v be_v no_o more_o evident_a trial_n a_o three_o reason_n may_v be_v allege_v if_o any_o imagine_v the_o earth_n upon_o the_o centre_n to_o be_v part_v into_o two_o equal_a half_n and_o that_o the_o eye_n be_v place_v in_o the_o centre_n then_o shall_v the_o eye_n see_v no_o more_o than_o the_o half_a of_o heaven_n by_o which_o appear_v that_o the_o swell_a of_o the_o earth_n from_o the_o centre_n unto_o his_o compass_n about_o in_o make_v a_o comparison_n unto_o heaven_n be_v as_o in_o a_o manner_n nothing_o and_o it_o be_v know_v to_o the_o learned_a in_o astronomy_n that_o any_o of_o the_o fix_a star_n be_v by_o many_o time_n great_a than_o the_o earth_n which_o if_o any_o behold_v they_o they_o appear_v as_o point_n in_o heaven_n now_o how_o much_o lesser_o will_v the_o earth_n appear_v if_o a_o man_n shall_v behold_v it_o from_o his_o place_n here_o learn_v by_o this_o demonstration_n follow_v that_o the_o 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sun_n by_o his_o proper_a motion_n carry_v from_o the_o east_n into_o the_o west_n shall_v come_v unto_o the_o cross_n of_o the_o equatour_n and_o zodiac_n and_o that_o the_o great_a part_n of_o these_o circle_n shall_v be_v under_o the_o earth_n it_o can_v be_v that_o the_o equinoctium_n or_o a_o like_a day_n and_o night_n can_v be_v through_o out_o the_o earth_n no_o not_o under_o the_o right_a sphere_n much_o less_o can_v it_o be_v under_o the_o thwart_a sphere_n if_o this_o be_v unpossible_a it_o shall_v be_v also_o as_o unpossible_a that_o six_o sign_n may_v always_o be_v above_o the_o earth_n and_o the_o other_o six_o under_o the_o earth_n but_o rather_o that_o more_o of_o the_o sign_n shall_v be_v under_o the_o earth_n and_o more_o of_o they_o above_o even_o as_o the_o earth_n be_v imagine_v to_o be_v divide_v from_o the_o horrizont_n aforesaid_a into_o two_o equal_a part_n like_v as_o when_o it_o shall_v be_v in_o the_o centre_n of_o the_o whole_a and_o that_o from_o each_o centre_n of_o the_o great_a circle_n the_o earth_n be_v divide_v into_o two_o part_n as_o all_o these_o to_o any_o behold_v the_o material_a sphere_n be_v forthwith_o know_v at_o the_o first_o sight_n so_o by_o a_o three_o reason_n be_v to_o be_v note_v that_o when_o any_o imagine_v by_o the_o line_n e._n f._n that_o the_o earth_n in_o the_o point_n g._n stand_v as_o in_o the_o centre_n of_o the_o whole_a be_v divide_v by_o the_o middle_n as_o well_o be_v in_o g._n as_o h._n for_o the_o exceed_a distance_n from_o the_o cyrcumference_n be_v unpossible_a to_o see_v always_o the_o half_a heaven_n if_o the_o earth_n be_v not_o in_o the_o middle_n of_o the_o world_n then_o of_o necessity_n shall_v it_o possess_v some_o of_o these_o
where_o the_o place_n bind_v of_o cold_a and_o moisture_n be_v white_a of_o body_n have_v long_o hear_v on_o the_o head_n tall_a and_o comely_a of_o stature_n and_o personage_n cold_a of_o quality_n yet_o in_o manner_n or_o condition_n wild_a and_o cruel_a through_o the_o force_n of_o the_o cold_a in_o those_o place_n and_o agree_v with_o these_o be_v the_o greatness_n of_o the_o winter_n and_o the_o greatness_n of_o fierce_a and_o cruel_a beast_n and_o other_o live_a thing_n there_o breed_v with_o a_o furious_a people_n inhabit_v call_v general_o the_o scythian_n last_o those_o dwell_n under_o the_o temperate_a zone_n be_v a_o gentle_a and_o civil_a people_n be_v some_o tawny_a especial_o towards_o the_o south_n and_o other_o towards_o the_o north_n reasonable_a white_a of_o skin_n and_o body_n be_v mean_a of_o stature_n and_o temperate_a in_o nature_n and_o quality_n and_o of_o the_o same_o like_a in_o condition_n and_o behaviuor_fw-la etc._n etc._n and_o thus_o much_o for_o the_o second_o part_n of_o this_o treatise_n finis_fw-la the_o table_n of_o all_o the_o special_a and_o several_a point_n handle_v in_o this_o book_n of_o the_o rudiment_n of_o the_o sphere_n of_o heaven_n of_o the_o star_n of_o the_o orb_n of_o the_o star_n and_o of_o the_o earth_n folio_n 1_o what_o a_o sphere_n be_v 2_o what_o the_o world_n be_v and_o into_o how_o many_o part_n the_o same_o be_v divide_v with_o the_o motion_n of_o the_o celestial_a orbs._n 8_o what_o the_o star_n be_v and_o that_o as_o to_o the_o motion_n of_o their_o orb_n they_o be_v carry_v about_o 11_o that_o heaven_n be_v draw_v round_o 13_o that_o there_o be_v but_o eight_o celestial_a orb_n that_o may_v be_v see_v 14_o a_o general_a figure_n declare_v the_o number_n disposition_n and_o order_n of_o the_o celestial_a sphere_n about_o the_o globe_n of_o the_o earth_n 16_o that_o there_o be_v two_o first_o motion_n of_o the_o celestial_a orbs._n 17_o that_o there_o be_v two_o kind_n of_o star_n the_o fix_a and_o the_o planet_n 19_o of_o the_o celestial_a image_n and_o of_o their_o diverse_a name_n be_v in_o number_n 48._o 21_o the_o 12._o sign_n of_o the_o zodiac_n 22_o of_o the_o southerly_a 23_o of_o the_o planet_n 25_o that_o heaven_n have_v a_o round_a form_n and_o be_v carry_v circular_o 29_o that_o the_o water_n and_o earth_n be_v round_a body_n and_o by_o a_o mutual_a embrace_v do_v make_v one_o body_n and_o one_o hollow_a upper_a face_n 31_o a_o instrument_n by_o which_o the_o roundness_n of_o the_o earth_n according_a to_o latitude_n may_v be_v prove_v and_o all_o those_o may_v easy_o be_v show_v which_o be_v teach_v of_o the_o day_n artificial_a 33_o that_o the_o water_n have_v a_o like_a swell_n and_o run_v round_o 36_o that_o the_o earth_n emploi_v the_o middle_a place_n of_o the_o world_n and_o be_v the_o centre_n of_o the_o whole_a 42_o if_o the_o earth_n be_v not_o in_o the_o middle_n of_o the_o world_n then_o of_o necessity_n it_o must_v possess_v some_o of_o the_o stand_n describe_v in_o the_o figure_n there_o demonstrate_v 46_o that_o the_o earth_n abide_v fix_v and_o unmoveable_a in_o the_o middle_n of_o the_o world_n 49_o the_o physic_n reason_n 50_o that_o the_o earth_n compare_v unto_o heaven_n be_v as_o a_o point_n 52_o to_o find_v the_o compass_n of_o the_o earth_n and_o by_o it_o the_o dyameter_n 55_o the_o second_o part._n what_o the_o sum_n of_o the_o second_o part_n be_v 59_o that_o the_o sphere_n of_o the_o world_n be_v either_o right_a or_o thwart_v 90_o that_o the_o circle_n of_o the_o sphere_n be_v some_o great_a some_o less_o with_o the_o number_n of_o the_o circle_n 92_o the_o description_n name_n and_o utility_n of_o the_o equinoctial_a 62_o that_o this_o worthy_a circle_n have_v diverse_a name_n 71_o what_o be_v the_o office_n of_o the_o equinoctial_a 73_o what_o be_v the_o northerly_a image_n in_o respect_n of_o the_o equinoctial_a 78_o the_o description_n name_n and_o office_n of_o the_o zodiac_n and_o ecclipticke_a line_n or_o way_n of_o the_o sun_n 98_o what_o be_v the_o name_n of_o this_o circle_n 100_o what_o be_v the_o cause_n of_o the_o thwartnesse_n of_o the_o zodiac_n 109_o of_o the_o ecclipticke_a line_n or_o way_n of_o the_o sun_n 113_o what_o the_o latitude_n of_o a_o planet_n be_v after_o two_o destinction_n 115_o what_o be_v the_o longitude_n of_o a_o star_n &_o where_o he_o begin_v 116_o what_o be_v the_o use_n and_o utility_n of_o the_o zodiac_n and_o ecclipticke_a 124_o the_o description_n name_n and_o office_n of_o the_o colour_n 125_o what_o the_o office_n and_o utility_n of_o the_o colour_n be_v 133_o the_o description_n name_n and_o office_n of_o the_o meridian_n circle_n and_o horizon_n 135_o what_o be_v the_o office_n and_o utility_n of_o the_o meridian_n 144_o a_o table_n of_o the_o sun_n declaration_n etc._n etc._n 155_o the_o common_a way_n of_o measure_v of_o place_n with_o their_o space_n by_o the_o rule_n of_o longitude_n and_o latitude_n 167_o what_o be_v to_o be_v do_v if_o place_n differ_v in_o the_o longitude_n 169_o other_o brief_a example_n 171_o the_o find_v of_o the_o distance_n of_o place_n or_o city_n in_o a_o more_o easy_a manner_n 173_o the_o first_o rule_n 174_o a_o example_n 175_o another_o ibid_fw-la another_o ibid_fw-la another_o 179_o another_o ibid_fw-la another_o ibid_fw-la another_o 177_o the_o second_o rule_n ibid_fw-la another_o excellent_a table_n etc._n etc._n 178_o a_o example_n of_o the_o use_n of_o this_o table_n 179_o the_o second_o rule_n 180_o a_o example_n ibid_fw-la another_o 183_o another_o ibid_fw-la another_o 184_o another_o ibid_fw-la a_o easy_a work_n ibid_fw-la a_o example_n 185_o another_o ibid_fw-la another_o 186_o if_o of_o two_o place_n etc._n etc._n ibid._n a_o three_o rule_n 190_o a_o example_n of_o the_o three_o rule_n ibid._n another_o 193_o another_o 124_o another_o 196_o a_o easy_a work_n and_o less_o curious_a 197_o a_o example_n 198_o another_o ibid_fw-la another_o 199_o another_o ibid_fw-la a_o demonstration_n of_o the_o three_o rule_n 200_o the_o declaration_n of_o the_o first_o rule_n 201_o the_o declaration_n of_o the_o second_o rule_n ibid._n the_o declaration_n of_o the_o three_o rule_n 202_o the_o definition_n appellation_n division_n and_o office_n or_o utility_n of_o the_o horizon_n 204_o the_o appellation_n and_o diverse_a name_n of_o the_o horizon_n 205_o the_o office_n or_o utility_n of_o the_o horizon_n 215_o of_o the_o vertical_a circle_n 217_o the_o circle_n of_o the_o altitude_n 219_o the_o hour_n circle_n 221_o the_o circle_n devide_v the_o twelve_o house_n of_o heaven_n 226_o the_o circle_n of_o position_n 230_o the_o definition_n name_n and_o utility_n of_o the_o four_o lesser_a circle_n 231_o which_o circle_n be_v call_v the_o tropic_n 235_o why_o they_o be_v call_v tropic_n ibid._n the_o office_n or_o utility_n of_o the_o four_o lesser_a circle_n 245_o the_o description_n name_n quality_n etc._n etc._n 247_o what_o the_o longitude_n &_o latitude_n of_o the_o celestial_a zone_n be_v 261_o what_o be_v the_o longitude_n and_o latitude_n of_o the_o earthly_a zone_n 263_o where_o the_o beginning_n and_o end_n of_o every_o zone_n according_a to_o latitude_n and_o which_o place_n be_v in_o which_o zone_n 264_o how_o the_o zone_n and_o climate_n do_v differ_v 267_o what_o be_v the_o quality_n of_o the_o zone_n ibid_fw-la what_o be_v the_o utility_n of_o the_o zone_n 268_o finis_fw-la
of_o the_o fore-dog_n to_o this_o fore-dog_n do_v ptolemy_n attribute_v only_o two_o star_n other_o do_v number_n three_o that_o in_o ptholomies_n time_n be_v in_o gemini_fw-la and_o in_o our_o time_n be_v in_o cancer_n of_o which_o the_o fore_a star_n which_o be_v in_o the_o addition_n of_o the_o same_o do_v possess_v the_o magnitude_n the_o scond_v star_n which_o stand_v on_o the_o leg_n shine_v bright_a be_v protion_n of_o the_o first_o bigness_n all_o be_v of_o the_o nature_n of_o mercutie_n and_o a_o little_a of_o mars_n the_o other_o dog_n be_v the_o great_a be_v name_v of_o the_o arabian_n alhabor_n which_o proper_o be_v name_v the_o great_a dog_n and_o this_o understand_v that_o the_o same_o star_n be_v bright_a shine_v which_o stand_v on_o the_o mouth_n or_o tongue_n of_o the_o dog_n be_v of_o the_o first_o bigness_n and_o name_v by_o author_n the_o dog_n in_o the_o name_n of_o the_o whole_a image_n the_o star_n name_v syrius_n or_o the_o dog_n be_v place_v in_o the_o middle_a centre_n of_o heaven_n unto_o which_o when_o the_o sun_n shall_v come_v the_o heat_n be_v then_o double_v and_o man_n body_n affect_v with_o faintness_n also_o they_o suppose_v that_o star_n to_o be_v call_v syrius_n though_o the_o brightness_n of_o his_o fiery_a shine_v the_o latin_n name_v he_o the_o canicule_a or_o dog-star_n of_o which_o the_o canicule_a or_o dog_n day_n be_v name_v in_o that_o while_o the_o sun_n run_v in_o that_o part_n it_o be_v dangerous_a and_o this_o through_o the_o quality_n of_o the_o season_n then_o be_v that_o dispose_v the_o time_n to_o health_n or_o sickness_n and_o hercos_fw-la it_o be_v that_o while_o for_o a_o time_n it_o arise_v the_o season_n be_v not_o always_o contagious_a ptolemy_n name_v that_o star_n which_o be_v on_o the_o mouth_n of_o the_o dog_n and_o assign_v he_o to_o be_v of_o the_o first_o bigness_n most_o clear_a and_o bright_a in_o shine_v and_o to_o that_o star_n which_o stand_v or_o be_v place_v on_o the_o head_n he_o give_v a_o small_a quantity_n that_o be_v to_o be_v a_o star_n of_o the_o five_o bigness_n avicen_n thus_o write_v of_o the_o dog-day_n will_v man_n to_o beware_v and_o learn_v the_o time_n in_o which_o the_o great_a dog_n arise_v and_o the_o season_n in_o which_o the_o snow_n lie_v still_o on_o the_o high_a hill_n or_o mountain_n and_o the_o frosty_a or_o sharp_a cold_a time_n for_o than_o be_v no_o apt_a time_n of_o minister_a medicine_n but_o a_o medicine_n may_v safe_o be_v drink_v or_o otherwise_o give_v in_o the_o spring_n and_o harvest_n time_n hypocrates_n be_v of_o the_o same_o mind_n affirm_v that_o in_o the_o dog-day_n and_o before_o they_o no_o purgation_n may_v safe_o be_v minister_v the_o beginning_n of_o the_o dog-day_n vari_v according_a to_o the_o diversity_n of_o region_n climate_n and_o latitude_n in_o our_o time_n the_o dog-day_n begin_v at_o the_o sun_n entrance_n into_o the_o 10._o 11._o and_o 12._o degree_n of_o leo._n that_o which_o above_o be_v say_v that_o the_o star_n syrius_n be_v in_o the_o middle_a centre_n of_o heaven_n be_v mean_v that_o the_o star_n be_v in_o a_o celestial_a circle_n as_o the_o solsticiall_a colour_n who_o centre_n be_v the_o centre_n of_o heaven_n in_o which_o that_o circle_n be_v describe_v this_o understand_v that_o the_o sun_n be_v then_o join_v with_o the_o star_n syrius_n when_o they_o both_o arise_v together_o in_o the_o horizont_n above_o the_o earth_n and_o set_v heliace_n west_n with_o the_o sun_n though_o it_o can_v be_v see_v rise_v in_o the_o morning_n for_o the_o bright_a beam_n of_o the_o sun_n but_o after_o the_o sun_n daily_o move_v from_o it_o the_o star_n begin_v to_o arise_v and_o be_v see_v in_o the_o morning_n before_o the_o sun_n to_o a_o man_n of_o knowledge_n this_o be_v not_o strange_a that_o the_o dog-star_n arise_v once_o every_o natural_a day_n yet_o the_o word_n of_o avicen_n be_v thus_o mean_v that_o in_o what_o time_n the_o dog-star_n ascend_v with_o the_o sun_n and_o this_o at_o the_o horizontall_a meeting_n and_o join_v together_o of_o they_o in_o the_o morning_n which_o pestilent_a caniculare_fw-la time_n do_v the_o physician_n determine_v to_o be_v of_o 40._o day_n long_o but_o the_o malice_n of_o that_o season_n be_v many_o time_n overcome_v &_o change_v through_o the_o strong_a beam_n of_o the_o planet_n happen_v in_o this_o time_n as_o of_o jupiter_n venus_n and_o sometime_o of_o saturn_n ptolemy_n do_v assign_v to_o this_o constellation_n name_v the_o dog-star_n 18._o star_n of_o the_o first_o 3._o 4._o and_o 5._o magnitude_n that_o in_o his_o time_n be_v all_o in_o gemini_fw-la and_o in_o our_o time_n in_o cancer_n except_o the_o 17._o star_n which_o be_v in_o the_o end_n of_o gemini_fw-la and_o that_o which_o be_v bright_a shine_v in_o the_o dog_n mouth_n be_v name_v alhabor_n have_v the_o quality_n of_o jupiter_n and_o a_o little_a of_o mars_n and_o all_o the_o other_o apply_v to_o venus_n hyginus_n write_v of_o this_o image_n name_v the_o southerly_a crown_n which_o of_o many_o be_v name_v vraniscus_n as_o if_o the_o same_o appear_v fashion_v hollow_a from_o heaven_n the_o same_o do_v he_o thus_o describe_v that_o before_o the_o fore_a foot_n of_o sagitarius_n be_v a_o few_o star_n fashion_v into_o a_o roundness_n which_o form_n his_o crown_n that_o many_o have_v imagine_v as_o cast_v from_o he_o in_o bondage_n manner_n and_o many_o mean_a by_o this_o greek_a word_n ouraniseos_n the_o palate_n in_o that_o this_o crown_n appear_v fashion_v like_o to_o the_o palate_n which_o be_v a_o hollowness_n above_o the_o tongue_n to_o this_o celestial_a crown_n fashion_v like_o a_o little_a palate_n do_v ptolemy_n assign_v 13._o star_n of_o the_o four_o five_o and_o sixth_o magnitude_n that_o in_o his_o time_n be_v all_o in_o sagitarius_n and_o in_o our_o time_n be_v in_o sagitarius_n and_o capricornus_fw-la of_o the_o nature_n of_o saturn_n and_o mars_n this_o image_n do_v some_o name_n the_o monstrous_a fish_n the_o terrible_a fish_n the_o monstrous_a sea_n beast_n and_o sea_n lion_n or_o bear_n this_o huge_a fish_n name_v the_o celestial_a whale_n be_v place_v under_o aries_n and_o both_o the_o fish_n lie_v a_o little_a above_o the_o starry_a river_n in_o the_o region_n of_o heaven_n ptolemy_n do_v assign_v to_o this_o celestial_a whale_n 22._o star_n of_o the_o three_o four_o and_o five_o bigness_n that_o in_o his_o time_n be_v all_o place_v in_o pisces_fw-la and_o aries_n and_o at_o this_o day_n be_v in_o pisces_fw-la aries_n and_o taurus_n and_o most_o of_o they_o be_v of_o the_o nature_n of_o saturn_n and_o venus_n and_o some_o only_o of_o saturn_n this_o meridiane_a fish_n name_v the_o southern_a or_o southerly_a fish_n and_o great_a who_o aliance_n be_v the_o fish_n name_v which_o be_v place_v in_o the_o circle_n of_o the_o zodiac_n this_o sign_n or_o image_n be_v place_v in_o the_o south_n part_n and_o seem_v as_o it_o be_v with_o the_o mouth_n to_o drink_v of_o the_o water_n come_v from_o the_o sign_n aquarius_n ptolemy_n do_v number_n and_o give_v to_o this_o southerly_a fish_n 11._o star_n be_v of_o the_o first_o four_o and_o five_o magnitude_n that_o in_o his_o time_n be_v all_o in_o capricornus_fw-la and_o aquarius_n and_o in_o our_o time_n be_v all_o in_o aquarius_n the_o brghter_n star_n in_o his_o mouth_n have_v the_o quality_n of_o venus_n and_o mercury_n but_o those_o star_n place_v on_o the_o body_n of_o the_o same_o be_v agreeable_a and_o a_o like_a to_o the_o nature_n of_o saturn_n these_o hitherto_o for_o the_o image_n place_v on_o the_o north_n and_o south_n side_n of_o the_o equatoure_n 5_o by_o the_o five_o be_v the_o declination_n of_o the_o part_n of_o the_o ecclipticke_a from_o the_o equatoure_n as_o at_o the_o bind_v from_o which_o it_o be_v know_v and_o both_o the_o declination_n of_o the_o star_n and_o the_o latitude_n of_o place_n learned_a the_o declination_n of_o the_o star_n be_v call_v the_o distance_n of_o they_o from_o the_o equatour_n towards_o either_o of_o the_o pole_n of_o the_o world_n the_o latitude_n of_o place_n the_o space_n from_o the_o equatoure_n unto_o the_o high_a of_o they_o raise_v in_o the_o meridiane_a as_o by_o the_o top_n gather_v and_o learn_v in_o the_o stand_n right_o over_o also_o by_o the_o equatoure_n do_v we_o learn_v the_o declination_n of_o the_o planet_n aswell_o northerly_a as_o southerly_a move_v as_o more_o evident_o do_v appear_v in_o the_o solyde_a sphere_n or_o globe_n so_o that_o by_o the_o declination_n of_o the_o star_n know_v a_o man_n may_v easy_o place_v they_o in_o proper_a instrument_n by_o which_o great_a utility_n arise_v and_o it_o be_v the_o measure_n of_o time_n in_o that_o the_o length_n of_o the_o natural_a day_n be_v know_v thereby_o 6_o by_o
north_n and_o south_n so_o that_o the_o foresay_a right_a section_n do_v part_v the_o horizont_n and_o cyrcumference_n of_o the_o same_o into_o four_o quarter_n the_o four_o principal_a wind_n of_o the_o common_a sort_n be_v thus_o call_v that_o which_o blow_v from_o the_o east_n the_o levant_n wind_n and_o that_o right_a against_o it_o the_o ponent_fw-la that_o from_o the_o north_n transmontanus_n and_o that_o right_a against_o it_o the_o meridional_a these_o four_o of_o late_a year_n they_o have_v divide_v into_o 32._o wind_n after_o the_o note_a line_n and_o point_n draw_v in_o the_o sailor_n card_n and_o other_o map_n every_o where_o to_o be_v see_v also_o the_o sailor_n compass_n do_v express_v so_o many_o wind_n direct_v by_o the_o adamant_n or_o lodestone_n which_o how_o the_o same_o do_v direct_a and_o show_v the_o wind_n need_v not_o here_o be_v show_v see_v the_o same_o be_v sufficient_o know_v to_o every_o sailor_n which_o by_o the_o guide_n of_o their_o compass_n direct_v 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subtract_v the_o right_a ascension_n of_o y_fw-fr e_o west_n part_n from_o the_o right_a ascension_n of_o the_o mid_a heaven_n or_o noonestead_n and_o the_o remainder_n or_o rest_n as_o afore_o teach_v be_v distribute_v into_o three_o equal_a part_n after_o that_o in_o the_o end_n of_o the_o first_o portion_n from_o the_o noonstead_o towards_o the_o west_n the_o ancient_n constitute_v or_o place_v the_o bind_v of_o the_o nine_o house_n with_o the_o circle_n come_v from_o the_o pole_n of_o y_fw-fr e_o world_n and_o in_o the_o bind_v of_o the_o second_o portion_n be_v the_o beginning_n of_o the_o eight_o house_n form_v these_o attain_v the_o degree_n and_o part_n of_o the_o degree_n of_o the_o zodiac_n answer_v to_o each_o arke_n of_o the_o equatoure_n be_v seek_v in_o the_o table_n of_o the_o right_a sphere_n but_o the_o house_n stand_v under_o be_v define_v and_o make_v like_o to_o their_o opposite_n and_o see_v this_o manner_n of_o form_v the_o house_n be_v unperfect_a therefore_o shall_v here_o no_o further_o be_v teach_v of_o the_o same_o in_o which_o a_o e._n be_v the_o vertical_a circle_n cross_v a_o d_o e_o c._n at_o right_a angle_n f_o g_o b._n the_o equatour_n do_v g_o c._n the_o horizon_n d._n and_o c._n be_v the_o point_n in_o which_o the_o distinguisher_n of_o the_o house_n concur_v and_o meet_v which_o also_o do_v make_v equal_a distinction_n in_o the_o vertical_a circle_n and_o thereby_o be_v the_o house_n note_v and_o divide_v but_o the_o late_a astronomer_n move_v by_o the_o authority_n of_o the_o incomparable_a mathematician_n regiomontanus_n inurnt_v and_o devise_v another_o order_n of_o the_o house_n more_o agree_v to_o reason_n than_o the_o former_a for_o they_o divide_v the_o quarter_n of_o the_o equatour_n comprehend_v between_o the_o horizon_n and_o noonstead_o into_o three_o equal_a space_n and_o by_o each_o section_n they_o imagine_v great_a circle_n join_v in_o the_o section_n of_o the_o meridian_n and_o horizon_n as_o the_o former_a although_o all_o these_o be_v plain_o and_o more_o evident_o teach_v and_o know_v in_o the_o material_a sphere_n yet_o we_o think_v good_a to_o speak_v somewhat_o as_o our_o possibility_n serve_v in_o plain_a form_n wherefore_o grant_v that_o a_o f_o c._n be_v the_o meridian_n a._n the_o top_n n._n the_o northerly_a pole_n k._n the_o southerly_a pole_n b._n and_o c._n the_o point_n of_o the_o section_n of_o the_o horizon_n and_o meridian_n where_o the_o distinguisher_n of_o the_o house_n concur_v and_o meet_v which_o also_o be_v imagine_v by_o the_o equal_a distinction_n of_o the_o equatour_n e_o i_o l._n as_o to_o the_o eye_n sufficient_o appear_v that_o b_o i_o c._n be_v the_o horizon_n circle_n d._n the_o easterly_a point_n or_o rise_n of_o the_o equatour_n from_o which_o the_o first_o house_n take_v his_o beginning_n the_o circle_n of_o position_n all_o these_o circle_n be_v set_v down_o the_o astronomer_n notwithstanding_o do_v write_v of_o another_o circle_n who_o use_n and_o office_n serve_v to_o great_a purpose_n for_o the_o art_n of_o direct_v &_o search_v other_o more_o secret_a matter_n in_o astronomy_n and_o be_v thereof_o call_v the_o circle_n of_o position_n which_o pass_v at_o all_o time_n by_o the_o former_a section_n of_o the_o meridian_n and_o horizone_n and_o by_o the_o centre_n of_o the_o star_n or_o of_o any_o other_o purpose_a point_n in_o heaven_n like_v to_o the_o soresaid_a circle_n whether_o that_o star_n be_v above_o the_o earth_n or_o under_o the_o earth_n that_o this_o may_v clear_o appear_v mark_v and_o consider_v this_o figure_n here_o express_v where_o the_o letter_n c._n represent_v the_o top_n point_n d._n the_o northerly_a pole_n e._n the_o opposite_a pole_n a_o g_o b_o f._n the_o circle_n of_o the_o position_n pass_v by_o the_o section_n of_o the_o horizon_n and_o meridian_n b_o c_o d_o e._n the_o meridian_n a_o b._n the_o horizone_n g_o f._n the_o centre_n of_o the_o star_n of_o which_o the_o one_o be_v in_o g._n above_o the_o earth_n and_o the_o other_o under_o the_o earth_n in_o the_o point_n f._n and_o many_o other_o circle_n beside_o all_o these_o which_o hitherto_o have_v be_v describe_v may_v be_v invent_v and_o imagine_v in_o the_o sphere_n for_o the_o necessity_n of_o the_o working_n the_o difinition_n name_n and_o office_n of_o the_o four_o lesser_a circle_n the_o parallel_n be_v lesser_a circle_n which_o from_o either_o of_o the_o great_a circle_n draw_v thwart_o on_o the_o sphere_n do_v equal_o difand_v be_v distant_a from_o the_o equatoure_n or_o zodiac_n towards_o their_o pole_n so_o y_o â—_o they_o do_v not_o divide_v the_o sphere_n into_o equal_a half_a sphere_n but_o into_o unequal_a portion_n for_o see_v the_o sphere_n from_o the_o middle_n streach_v or_o draw_v by_o little_a and_o little_o straight_a and_o narow_a towards_o the_o further_a and_o high_a top_n even_o so_o must_v the_o parallel_n which_o be_v distant_a from_o the_o middle_n and_o great_a and_o that_o by_o equal_a space_n on_o each_o side_n agree_v draw_v of_o necessity_n narrow_a and_o so_o much_o the_o narower_n as_o they_o near_o approach_v unto_o the_o pole_n as_o write_v theodosius_n in_o the_o sixth_o proposition_n of_o his_o first_o book_n of_o the_o sphere_n and_o the_o same_o author_n in_o the_o 14._o proposition_n of_o his_o first_o book_n of_o the_o sphere_n and_o in_o the_o sixth_o of_o his_o second_o book_n write_v that_o all_o the_o parallel_n have_v the_o same_o pole_n agree_v with_o the_o great_a circle_n unto_o which_o the_o parallel_n be_v and_o certain_a of_o the_o parallel_n be_v apply_v unto_o the_o plain_a of_o the_o equatoure_n other_o unto_o the_o plain_a of_o the_o eccliptick_a these_o do_v as_o well_o the_o fix_a star_n as_o the_o planet_n place_v without_o the_o ecclipticke_a and_o draw_v about_o the_o exetrée_n stretch_v bâ—_n the_o pole_n of_o the_o ecclipticke_a and_o centre_n of_o the_o world_n describe_v yet_o do_v all_o their_o centre_n consist_v in_o the_o exetrée_n of_o the_o zodiac_n and_o the_o middle_a circle_n of_o they_o and_o the_o great_a be_v the_o ecclipticke_a these_o also_o do_v the_o same_o star_n and_o the_o verticiall_a or_o top_n point_v of_o each_o place_n or_o any_o other_o apply_v unto_o the_o plain_a of_o the_o equatour_n draw_v as_o it_o be_v by_o the_o first_o mover_n about_o the_o exetrée_n and_o pole_n of_o the_o world_n define_v and_o the_o centre_n of_o these_o be_v in_o the_o exetrée_n of_o the_o world_n or_o equatoure_n but_o the_o middle_n and_o great_a of_o these_o be_v the_o equatour_n it_o be_v manifest_a by_o that_o afore_o teach_v that_o the_o sun_n in_o every_o day_n do_v gain_v towards_o the_o east_n against_o the_o daily_a motion_n one_o degree_n of_o the_o zodiac_n and_o of_o this_o happen_v that_o he_o in_o each_o day_n through_o the_o thwartnesse_n of_o the_o zodiac_n describe_v a_o certain_a new_a circle_n in_o heaven_n and_o in_o the_o next_o day_n another_o and_o so_o forth_o by_o order_n as_o the_o like_a may_v be_v compare_v by_o a_o small_a cord_n wind_v close_o about_o a_o nun_n or_o top_n begin_v from_o the_o foot_n upward_o even_o so_o the_o sun_n beginning_n to_o turn_v again_o at_o the_o first_o degree_n of_o capricorn_n do_v every_o day_n after_o change_v a_o new_a parallel_n until_o he_o become_v back_o unto_o the_o first_o degree_n of_o cancer_n and_o by_o and_o by_o after_o return_v from_o cancer_n he_o in_o the_o like_a order_n go_v unto_o the_o capricorn_n so_o that_o in_o the_o next_o day_n follow_v the_o sun_n rise_v not_o with_o the_o same_o parallel_n above_o the_o horizone_n that_o he_o do_v in_o the_o morning_n before_o nor_o shall_v not_o run_v the_o next_o morrow_n in_o that_o parallel_n that_o he_o do_v in_o this_o day_n and_o each_o of_o these_o parallel_n even_o as_o the_o great_a circle_n contain_v 360._o degree_n which_o be_v so_o much_o lesser_a than_o the_o degree_n of_o the_o great_a circle_n and_o occupy_v or_o comprehend_v somuch_o the_o lesser_a space_n in_o heaven_n as_o answer_v to_o the_o upper_a face_n of_o the_o earth_n as_o by_o how_o much_o the_o more_o from_o the_o compass_n and_o largeness_n of_o the_o great_a circle_n they_o lack_v by_o reason_n of_o the_o distance_n and_o although_o they_o yield_v and_o be_v less_o in_o the_o quantity_n yet_o unto_o the_o degree_n of_o the_o great_a circle_n be_v they_o agreeable_a and_o like_a as_o write_v theodosius_n in_o the_o 14._o proposition_n of_o his_o second_o book_n of_o the_o sphere_n these_o lesser_a circle_n do_v offer_n and_o teach_v sundry_a utility_n first_o the_o parallel_n of_o which_o on_o this_o side_n and_o beyond_o the_o equatour_n be_v 182_o that_o the_o sun_n yearly_a by_o his_o daily_a motion_n describe_v and_o do_v express_v the_o cause_n of_o the_o continual_a equality_n of_o
the_o day_n in_o the_o right_a sphere_n and_o of_o the_o unequalnesse_n in_o the_o thwart_a or_o bow_v sphere_n and_o where_o the_o day_n space_n be_v increase_v and_o lengthen_v there_o the_o night_n space_n be_v lessen_v and_o decrease_v and_o be_v otherwise_o they_o show_v the_o contrary_n in_o the_o second_o the_o parallel_n which_o the_o verticial_a point_n form_n when_o they_o express_v the_o bound_n of_o the_o latitude_n of_o place_n then_o be_v they_o stand_v under_o by_o which_o their_o longitude_n or_o distance_n from_o the_o west_n be_v account_v in_o the_o three_o the_o parallel_n which_o either_o the_o planet_n or_o the_o fix_a star_n describe_v refer_v unto_o the_o equatour_n do_v express_v the_o bound_n of_o their_o drawing_n or_o motion_n from_o the_o equatour_n the_o other_o or_o rest_n which_o apply_v unto_o the_o ecclipticke_a describe_v do_v show_v the_o bound_n of_o the_o latitude_n and_o that_o for_o how_o long_a time_n they_o tarry_v above_o the_o earth_n or_o otherwise_o hide_v within_o the_o earth_n and_o under_o the_o horizone_n do_v either_o show_n in_o the_o four_o the_o great_a and_o chief_a utility_n of_o the_o parallel_n be_v that_o which_o on_o the_o habitable_a earth_n the_o practisioner_n sever_v by_o such_o distance_n as_o by_o how_o much_o y_fw-mi e_fw-es great_a artificial_a day_n be_v by_o a_o quarter_n of_o a_o hour_n long_o increase_v and_o extend_v for_o they_o distinguish_v the_o habitable_a earth_n and_o that_o by_o observation_n into_o certain_a necessary_a space_n and_o do_v iudicate_v the_o regular_a increasing_n of_o the_o day_n and_o what_o be_v common_a to_o each_o dwell_n under_o those_o parallel_n in_o much_o as_o the_o quantity_n the_o increasing_n and_o deminishing_n of_o the_o day_n and_o night_n the_o rise_n and_o setting_n of_o the_o star_n the_o noonstéede_o shadow_n and_o the_o nature_n of_o the_o winter_n and_o summer_n but_o those_o which_o be_v contrary_a as_o that_o there_o be_v a_o difference_n &_o diversity_n of_o the_o dwell_a place_n be_v under_o diverse_a parallel_n they_o indeed_o be_v necessary_a unto_o the_o distribution_n and_o description_n of_o the_o climate_n although_o the_o number_n of_o these_o circle_n be_v so_o infinite_a as_o be_v the_o infinite_a variety_n of_o the_o star_n and_o vertical_a point_n yet_o be_v there_o four_o usual_o rehearse_v in_o these_o element_n or_o introduction_n that_o be_v especial_o note_v and_o describe_v by_o peculiar_a name_n and_o for_o the_o same_o cause_n as_o seem_v to_o i_o in_o that_o they_o divide_v the_o whole_a globe_n of_o heaven_n and_o earth_n into_o five_o zone_n and_o these_o apply_v unto_o the_o plain_a or_o flat_a of_o the_o equatour_n the_o tropic_n of_o cancer_n or_o summer_n tropic_n the_o tropic_n of_o capricorn_n or_o winter_n tropic_n the_o arctic_a or_o northerly_a pole_n the_o antarctic_a or_o southerly_a pole_n which_o circle_n be_v call_v the_o tropicke_n the_o sun_n according_a to_o the_o former_a word_n through_o the_o motion_n of_o the_o first_o mover_n be_v in_o 24_o hour_n draw_v once_o about_o and_o for_o that_o he_o be_v carry_v in_o the_o thwart_a circle_n and_o in_o the_o same_o by_o his_o proper_a motion_n change_v daily_o unto_o other_o place_n of_o the_o zodiac_n it_o must_v needs_o ensue_v that_o he_o describe_v in_o each_o day_n a_o new_a parallel_n and_o those_o do_v the_o sun_n repeat_v in_o the_o part_n of_o the_o zodiac_n which_o be_v equidistant_a from_o the_o solsticiall_a point_n in_o such_o wise_a that_o they_o be_v in_o the_o whole_a 182._o circle_n and_o these_o do_v they_o call_v the_o circle_n of_o the_o natural_a day_n of_o which_o the_o uttermost_a and_o further_a that_o include_v the_o sun_n way_n be_v name_v the_o tropic_n which_o be_v in_o english_a the_o sun_n bound_n in_o that_o the_o sun_n never_o pass_v they_o neither_o towards_o the_o north_n nor_o towards_o the_o south_n but_o after_o his_o touch_v of_o each_o he_o return_v again_o the_o one_o of_o 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twelve_o day_n of_o december_n unto_o the_o eleven_o day_n of_o june_n a_o man_n may_v perceive_v the_o sun_n every_o day_n arise_v high_a and_o high_o and_o when_o he_o be_v at_o the_o high_a over_o our_o head_n that_o day_n do_v he_o by_o his_o course_n describe_v the_o summer_n tropic_n from_o which_o again_o turn_v the_o sun_n every_o day_n after_o draw_v low_a and_o low_a from_o our_o vertical_a point_n until_o he_o be_v come_v again_o unto_o the_o low_a in_o which_o twelve_o day_n of_o december_n not_o go_v any_o further_a towards_o the_o south_n but_o be_v come_v unto_o the_o begin_n of_o capricorn_n he_o describe_v the_o winter_n tropic_n the_o tropic_n of_o cancer_n be_v a_o lesser_a circle_n which_o the_o sun_n describe_v at_o the_o enter_v into_o the_o beginning_n thereof_o and_o be_v draw_v by_o the_o daily_a motion_n who_o plain_a or_o flat_o pass_v not_o by_o the_o centre_n of_o the_o earth_n and_o it_o be_v one_o of_o the_o natural_a circle_n which_o be_v outermost_a describe_v of_o the_o sun_n towards_o the_o north_n and_o draw_v by_o the_o begin_n of_o cancer_n and_o it_o have_v also_o his_o name_n of_o the_o stand_n in_o that_o the_o same_o be_v the_o bind_v of_o the_o sun_n journey_n or_o course_n towards_o the_o north_n and_o the_o nigh_a come_v unto_o we_o unto_o which_o be_v bring_v he_o turn_v back_o and_o direct_v his_o course_n into_o the_o south_n of_o which_o that_o place_n be_v call_v trope_n it_o be_v continual_o distant_a from_o the_o equatour_n by_o the_o quantity_n of_o the_o sun_n great_a declination_n which_o at_o this_o day_n be_v of_o 23._o degree_n 28._o minute_n and_o two_o fift_n almost_o and_o it_o enclose_v also_o the_o sun_n way_n and_o do_v beside_o with_o the_o other_o 3._o parallel_n divide_v the_o zone_n of_o heaven_n and_o earth_n further_o this_o be_v name_v the_o circle_n of_o the_o summer_n solstice_n by_o the_o same_o reason_n in_o that_o it_o be_v draw_v by_o the_o point_n of_o the_o summer_n solstice_n and_o the_o northerly_a tropic_n in_o that_o it_o be_v the_o northerly_a part_n of_o the_o world_n and_o the_o summer_n circle_n for_o that_o the_o sun_n in_o the_o summer_n fall_v into_o this_o circle_n also_o this_o circle_n in_o all_o the_o northerly_a tract_n be_v on_o this_o wise_a that_o the_o great_a part_n or_o portion_n be_v above_o the_o horizone_n and_o the_o lesser_a part_n as_o to_o we_o under_o the_o horizon_n so_o that_o the_o sun_n run_v in_o that_o circle_n cause_v the_o long_a day_n of_o summer_n and_o while_o the_o sun_n describe_v these_o circle_n the_o day_n be_v long_o than_o the_o night_n for_o the_o long_a day_n increase_v from_o minute_n to_o minute_n from_o hour_n to_o hour_n and_o from_o the_o latitude_n of_o one_o degree_n unto_o the_o latitude_n of_o 66._o degree_n and_o 30._o minute_n in_o which_o the_o day_n artificial_a be_v of_o 24._o hour_n and_o be_v thereof_o call_v a_o whole_a day_n for_o in_o the_o latitude_n follow_v and_o beyond_o he_o increase_v into_o many_o whole_a day_n a_o like_a definition_n have_v proelus_fw-la where_o he_o write_v that_o the_o summer_n tropic_n be_v the_o further_a circle_n northward_o that_o the_o sun_n describe_v into_o which_o when_o the_o sun_n be_v come_v he_o than_o make_v his_o summer_n turn_v and_o cause_v also_o at_o that_o time_n the_o long_a day_n and_o short_a night_n of_o the_o year_n from_o which_o turn_v back_o he_o go_v again_o towards_o the_o contrary_a coast_n of_o the_o world_n so_o that_o of_o the_o same_o proclus_n it_o be_v call_v a_o tropic_n which_o be_v in_o english_a a_o return_a circle_n for_o it_o be_v evident_a to_o all_o man_n that_o after_o the_o sun_n begin_v to_o turn_v he_o may_v in_o short_a time_n after_o or_o at_o the_o least_o within_o 5._o day_n
from_o the_o further_a point_n of_o the_o ecclipticke_a unto_o the_o equatour_n by_o which_o it_o appear_v that_o so_o much_o be_v the_o distance_n of_o the_o pole_n of_o the_o ecclipticke_a from_o the_o pole_n of_o the_o world_n as_o be_v the_o sun_n great_a declination_n be_v 23._o degree_n and_o 28._o minute_n and_o two_o fifte_n almost_o or_o thus_o that_o the_o pole_n of_o the_o zodiac_n be_v far_o distant_a from_o the_o pole_n of_o the_o world_n as_o be_v the_o great_a declination_n of_o the_o sun_n from_o the_o equinoctial_a circle_n and_o by_o the_o equidistance_n also_o on_o each_o side_n of_o the_o arctic_a circle_n from_o the_o pole_n of_o the_o world_n that_o that_o part_n of_o the_o colour_n comprehend_v between_o the_o first_o point_n of_o cancer_n and_o the_o arctic_a circle_n be_v almost_o double_a so_o much_o unto_o the_o great_a declination_n of_o the_o sun_n and_o if_o cyrcumspect_o you_o consider_v the_o manner_n of_o the_o motion_n you_o shall_v ready_o perceive_v that_o those_o circle_n which_o ever_o more_o be_v of_o like_a largeness_n increase_n and_o decrease_v together_o with_o the_o twoe_o tropic_n circle_n according_a to_o the_o increase_n or_o decrease_v of_o the_o sun_n declination_n as_o appear_v by_o the_o letter_n n._n in_o the_o foresay_a figure_n that_o represent_v the_o northerly_a pole_n of_o the_o ecclipticke_a or_o zodiac_n move_v from_o the_o letter_n n._n into_o o._n by_o the_o motion_n of_o the_o first_o mover_n and_o return_v again_o into_o the_o point_n n_o shall_v be_v move_v the_o circle_n describe_v n_o o._n be_v distant_a from_o the_o northerly_a pole_n a._n much_o as_n be_v the_o sun_n great_a declination_n h_o g._n as_o hereafter_o by_o demonstration_n shall_v plain_o appear_v and_o this_o circle_n name_v the_o arctic_a in_o that_o it_o be_v describe_v by_o the_o arctic_a of_o the_o zodiac_n the_o like_a be_v describe_v from_o the_o point_n r._n be_v the_o pole_n antarcticke_a by_o the_o motion_n from_o r._n unto_o s._n and_o return_v again_o unto_o r._n so_o that_o the_o antarcticke_a circle_n r_o s._n be_v equal_a to_o his_o opposite_a and_o equidistaunt_a to_o the_o equatoure_n this_o probation_n that_o the_o distance_n of_o the_o pole_n of_o the_o world_n and_o zodiac_n be_v equal_a to_o the_o sun_n great_a declination_n do_v require_v before_o hand_n these_o three_o proposition_n the_o first_o that_o the_o quarter_n of_o each_o circle_n any_o where_o take_v be_v in_o themselves_o or_o between_o one_o another_o equal_a the_o second_o that_o the_o pole_n by_o a_o quarter_n that_o be_v by_o 90._o degree_n be_v distant_a from_o their_o proper_a circle_n the_o three_o that_o the_o equal_v deduct_v from_o their_o equal_n then_o do_v the_o equal_n rest_n as_o for_o example_n if_o you_o borowe_n two_o fourthe_n in_o one_o and_o the_o same_o colour_n circle_n that_o be_v the_o solsticiall_a of_o the_o same_o part_n where_o it_o pass_v by_o the_o begin_n of_o capricorn_n and_o be_v the_o like_a from_o the_o pole_n of_o the_o world_n unto_o the_o equinoctial_a and_o that_o other_o be_v that_o which_o be_v from_o the_o pole_n of_o the_o zodiac_n unto_o the_o zodiac_n or_o ecclipticke_a and_o of_o this_o i_o thus_o reason_n that_o when_o the_o equal_n be_v deduct_v or_o abate_v from_o the_o equal_n the_o remainder_n shall_v be_v equal_a therefore_o be_v the_o foresay_a quarter_n equal_a in_o that_o they_o be_v in_o the_o same_o circle_n and_o that_o from_o either_o be_v the_o equal_a or_o common_a ark_n deduct_v that_o be_v the_o same_o which_o be_v contain_v between_o the_o equinoctial_a and_o the_o pole_n of_o the_o zodiac_n which_o ark_n do_v contain_v 66._o degree_n and_o 31._o minute_n almost_o so_o that_o the_o ark_n rest_v or_o remain_v of_o these_o quarter_n be_v equal_a that_o be_v the_o distance_n of_o the_o pole_n of_o the_o zodiac_n and_o the_o equinoctial_a be_v equal_a to_o the_o sun_n great_a declination_n for_o if_o 66._o degree_n and_o 31._o minute_n be_v deduct_v from_o either_o quarter_n the_o remainder_n then_o be_v 23_o degree_n and_o 31_o minute_n which_o be_v the_o distance_n between_o the_o foresay_a pole_n and_o the_o great_a declination_n of_o the_o sun_n this_o other_o example_n demonstrate_v that_o the_o sun_n great_a declination_n and_o the_o distance_n of_o the_o pole_n of_o the_o zodiac_n or_o ecclipticke_a from_o the_o pole_n of_o the_o world_n be_v equal_a and_o of_o like_a largeness_n and_o that_o what_o soever_o happen_v to_o the_o distance_n of_o the_o say_a pole_n for_o as_o this_o increase_v or_o decrease_v the_o like_a do_v that_o decrease_n or_o increase_v of_o this_o it_o be_v manifest_a that_o the_o two_o foresay_a arctic_a circle_n be_v now_o in_o our_o time_n lesser_a through_o the_o decrease_a of_o the_o sun_n great_a declination_n and_o that_o the_o tropicke_n be_v great_a than_o they_o be_v in_o ptholomies_n time_n the_o office_n or_o utility_n of_o the_o four_o lesser_a circle_n 1_o the_o office_n of_o the_o solsticiall_a tropic_n after_o the_o greek_n be_v to_o define_v the_o long_a summer_n day_n and_o the_o winter_n tropic_n to_o determine_v the_o short_a winter_n day_n and_o long_a night_n for_o proclus_n to_o find_v the_o long_a day_n do_v divide_v the_o summer_n solstice_n into_o 8._o equal_a part_n of_o which_o so_o divide_v he_o affirm_v three_o part_n to_o be_v continual_o hide_v under_o the_o horizon_n and_o five_o above_o the_o truth_n of_o which_o be_v know_v if_o the_o sphere_n be_v rectify_v for_o the_o latitude_n of_o 41._o degree_n where_o by_o this_o division_n the_o long_a day_n contain_v 15_o hour_n and_o the_o night_n but_o 9_o hour_n 2_o many_n and_o notable_a office_n do_v the_o tropic_n circle_n offer_v as_o well_o unto_o the_o composition_n of_o dialle_n as_o unto_o the_o prepare_v many_o other_o instrument_n in_o astronomy_n 3_o they_o declare_v the_o place_n of_o the_o ecclipticke_a in_o which_o the_o sun_n solstice_n be_v cause_v whereof_o the_o long_a or_o short_a day_n by_o they_o be_v know_v or_o thus_o they_o declare_v in_o every_o stand_n of_o the_o sphere_n the_o long_a and_o short_a day_n with_o their_o quantity_n 4_o they_o include_v the_o sun_n way_n in_o that_o they_o be_v as_o the_o bound_n include_v the_o region_n in_o heaven_n in_o which_o the_o sun_n be_v continual_o move_v 5_o they_o declare_v the_o sun_n great_a declination_n as_o afore_o have_v be_v often_o teach_v 6_o they_o separate_v in_o heaven_n the_o burn_a zone_n from_o the_o two_o temperate_a zone_n but_o of_o the_o polare_fw-la circle_n these_o be_v the_o chief_a and_o especial_a utility_n 1_o they_o iudicate_v or_o show_v the_o pole_n of_o the_o zodiac_n and_o how_o far_o they_o be_v distant_a from_o the_o pole_n of_o the_o world_n 2_o they_o enclose_v those_o star_n which_o ever_o appear_v above_o our_o horizone_n and_o those_o in_o like_a manner_n right_a against_o be_v always_o hide_v unto_o us._n but_o for_o that_o every_o several_a climate_n have_v disagrée_v from_o other_o climate_n these_o circle_n their_o distance_n therefore_o can_v be_v certain_a from_o the_o other_o parallel_n circle_n save_v for_o one_o region_n certain_a as_o neither_o their_o quantity_n nor_o their_o order_n for_o in_o that_o place_n where_o the_o altitude_n of_o the_o pole_n be_v lesser_a than_o 66._o degree_n and_o a_o half_a these_o circle_n there_o be_v lesser_a than_o the_o tropic_n and_o in_o order_n be_v between_o they_o and_o the_o pole_n and_o be_v from_o the_o pole_n continual_o distant_a by_o so_o many_o degree_n as_o the_o pole_n in_o that_o country_n be_v raise_v above_o the_o horizon_n so_o that_o in_o the_o same_o place_n the_o pole_n raise_v more_o than_o 66._o degree_n and_o a_o half_a the_o tropic_n than_o be_v above_o the_o horizone_n as_o the_o like_a may_v be_v understand_v by_o that_o place_n call_v wardehouse_n so_o that_o in_o the_o same_o climate_n the_o arctic_a circle_n be_v great_a than_o the_o tropic_n of_o cancer_n as_o witness_v the_o learned_a stoeflerus_n justingensis_n 3_o they_o distinguish_v after_o the_o mind_n of_o the_o greek_n the_o cold_a zone_n from_o the_o temperate_a which_o ferio_n deni_v affirm_v that_o the_o arctic_a and_o antarcticke_a circle_n keep_v no_o uniformity_n to_o all_o country_n and_o be_v uncertain_a and_o variable_a bound_n can_v limit_v any_o certain_a place_n for_o the_o temperate_a zone_n be_v place_n certain_a the_o arctic_a and_o antarcticke_a circle_n be_v changeable_a limit_n therefore_o can_v they_o be_v as_o bound_n of_o the_o temperate_a zone_n yet_o do_v he_o better_o allow_v and_o agree_v unto_o that_o that_o the_o tropicke_n be_v bound_n of_o the_o temperate_a zone_n so_o that_o changeable_a limit_n by_o this_o argument_n can_v be_v appoint_v as_o bound_n to_o unchangeable_a place_n 4_o they_o divide_v together_o with_o the_o