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the_o pole_n arctike_a and_o antarctick_a in_o their_o horizont_n spoud_a do_v you_o not_o call_v the_o two_o point_n or_o end_n of_o the_o axe_n tree_n the_o forname_v pole_n philo._n it_o be_v so_o and_o for_o firm_a print_n it_o in_o memory_n behold_v here_o the_o type_n of_o they_o that_o have_v a_o right_a sphere_n as_o a._n d._n c._n represent_v both_o the_o axe_n tree_n and_o the_o right_a horizont_n and_o a._n c._n the_o two_o pole_n yea_o and_z b._n d._n the_o half_a part_n of_o the_o equinoctial_a spoud_a so_o that_o a_o man_n inhabit_v under_o b._n d._n which_o be_v the_o equinoctial_a do_v perceive_v both_o a._n which_o be_v the_o north_n pole_n and_o c._n which_o be_v the_o south_n level_v with_o the_o earth_n and_o his_o vertical_a point_n in_o the_o for_o say_v aequinoctial_a philo._n you_o do_v well_o perceyve_v it_o spoud_a then_o it_o follow_v that_o where_o either_o of_o the_o pole_n be_v elevate_v above_o the_o earth_n they_o dwell_v not_o under_o the_o sphere_n aequinoctial_a and_o so_o have_v a_o crooked_a &_o a_o oblique_a sphere_n philo._n and_o that_o do_v this_o figure_n perfect_o prove_v here_o c._n e._n be_v the_o half_a of_o the_o axe_n tree_n above_o the_o earth_n b._n e._n be_v the_o half_a of_o the_o equinoctial_a c._n the_o one_o pole_n above_o the_o earth_n which_o make_v the_o half_a sphere_n a._n b._n c._n d._n to_o be_v oblique_a and_o crooked_a according_a to_o my_o first_o meaning_n spou._n i_o understand_v this_o perfect_o philo._n then_o be_v it_o expedient_a for_o you_o to_o consider_v that_o this_o sphere_n do_v in_o it_o contain_v many_o circle_n spoud_a your_o word_n bring_v i_o in_o a_o doubt_n for_o i_o perceive_v that_o a_o circle_n &_o a_o sphere_n be_v both_o round_n &_o have_v like_o centre_n &_o diameter_n phil._n they_o have_v no_o less_o yet_o they_o do_v as_o great_o differ_v as_o the_o world_n &_o the_o earth_n of_o which_o we_o make_v mention_n as_o this_o definition_n of_o euclid_n do_v manifest_a plain_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 14._o which_o scheubel_n excellent_o after_o his_o manner_n translate_v circulus_fw-la est_fw-la figura_fw-la plana_fw-la una_fw-la linea_fw-la compraehensa_fw-la quae_fw-la circumferentia_fw-la appellatur_fw-la ad_fw-la quam_fw-la ab_fw-la uno_fw-la quodam_fw-la puncto_fw-la eorum_fw-la quae_fw-la intra_fw-la figuram_fw-la sunt_fw-la posita_fw-la omnes_fw-la cadentes_fw-la rectae_fw-la lineae_fw-la inter_fw-la se_fw-la sunt_fw-la aequales_fw-la and_o be_v thus_o much_o to_o say_v with_o us._n a_o circle_n be_v à _fw-fr plain_a and_o flat_a figure_n comprehend_v within_o one_o line_n which_o be_v call_v a_o circumference_n unto_o which_o if_o line_n be_v draw_v from_o the_o centre_n or_o point_n of_o the_o circle_n unto_o the_o circumference_n they_o be_v contain_v within_o the_o same_o be_v find_v to_o be_v equal_a one_o to_o a_o other_o as_o in_o this_o example_n a._n be_v the_o centre_n of_o the_o circle_n b._n c._n d._n e._n the_o circumferent_a line_n etc._n etc._n spou._n by_o these_o word_n i_o find_v à _fw-fr two_o fold_n difference_n differ_v betwixt_o a_o sphere_n &_o a_o circle_n first_o that_o a_o circle_n be_v à _fw-fr plain_n &_o flat_a figure_n &_o a_o sphere_n of_o round_a form_n like_v unto_o à _fw-fr ball._n and_o then_o that_o a_o circle_n be_v compraehend_v within_o one_o line_n &_o a_o sphere_n within_o one_o plat_v form_n â–ª_o but_o now_o i_o pray_v you_o declare_v such_o circle_n as_o be_v imagine_v to_o be_v in_o the_o sphere_n of_o the_o world_n &_o most_o necessary_a for_o a_o introduction_n phil._n in_o this_o sphere_n chief_o x._o circle_n be_v imagine_v number_a of_o which_o 6._o be_v great_a &_o 4._o be_v small_a which_o in_o order_n i_o will_v set_v out_o and_o therefore_o answer_v i_o have_v you_o not_o read_v among_o your_o author_n of_o the_o horizont_a circle_n we_o will_v begin_v with_o that_o first_o because_o necessity_n inforse_v such_o order_n spou._n yes_o sir_n proclus_n define_v it_o in_o this_o sort_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d be_v horizon_n est_fw-la circulus_fw-la qui_fw-la dividit_fw-la nobis_fw-la mundi_fw-la partem_fw-la quae_fw-la videtur_fw-la ab_fw-la ea_fw-la quae_fw-la non_fw-la apparet_fw-la &_o qui_fw-la ita_fw-la in_o dvas_fw-la part_n aequales_fw-la â—…otum_fw-la discindit_fw-la mundi_fw-la globum_fw-la ut_fw-la eius_fw-la dimidia_fw-la pars_fw-la altera_fw-la supra_fw-la terram_fw-la extet_fw-la dimidia_fw-la altera_fw-la sub_fw-la terra_fw-la sit_fw-la which_o sound_v in_o our_o language_n in_o this_o manner_n the_o horizont_n be_v à _fw-fr circle_n which_o devide_v &_o part_v that_o part_n of_o the_o world_n which_o we_o see_v from_o that_o which_o do_v not_o appereâ—…_n &_o which_o par_fw-fr t_v the_o world_n in_o two_o equal_a part_n in_o such_o fation_n as_o the_o one_o half_a be_v ever_o above_o the_o earth_n the_o other_o always_o under_o phil._n the_o use_n of_o this_o circle_n be_v right_a excellent_a for_o by_o it_o we_o find_v out_o the_o rise_n &_o go_v down_o of_o every_o planet_n &_o star_n in_o this_o horizont_a the_o day_n &_o night_n have_v also_o their_o beginning_n &_o end_n spou._n so_o that_o this_o horizont_n be_v â_fw-la line_n imagine_v to_o go_v round_o about_o by_o the_o face_n of_o the_o earth_n part_v the_o heaven_n in_o two_o part_n and_o be_v say_v of_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d which_o signify_v to_o decern_v or_o end_n but_o stand_v on_o a_o high_a mountain_n question_n steple_n or_o such_o like_a thing_n shall_v i_o see_v but_o half_a the_o heaven_n philo._n yes_o very_o you_o shall_v see_v more_o than_o a_o hemisphere_n for_o so_o call_v they_o the_o half_a sphere_n as_o also_o be_v in_o answer_n a_o valley_n and_o low_a place_n you_o shall_v not_o see_v your_o hemisphere_n total_o and_o although_o you_o may_v object_n that_o this_o horizont_n devide_v not_o the_o heaven_n in_o two_o equal_a portion_n yet_o it_o be_v prove_v nothing_o for_o the_o astrologians_n allow_v no_o such_o horizont_n spoud_a and_o be_v this_o horizont_a a_o fix_a circle_n or_o not_o philo._n it_o be_v fix_v and_o without_o motion_n objection_n spou_fw-fr it_o shall_v seem_v contrary_a for_o i_o be_v at_o london_n have_v one_o horizont_n and_o go_v to_o andwerpe_n have_v a_o other_o and_o so_o at_o colein_n a_o other_o and_o at_o heydelberge_n another_o etc._n etc._n philo._n i_o confess_v no_o less_o but_o that_o prove_v nothing_o answer_n that_o the_o horizont_n move_v for_o look_v into_o what_o error_n you_o shall_v fall_v you_o must_v grant_n if_o the_o horizont_a move_n that_o with_o the_o turn_n of_o the_o heaven_n your_o horizont_a circle_n must_v come_v over_o your_o vertical_a point_n once_o in_o 24._o hour_n spoud_a nay_o i_o will_v not_o grant_v such_o absurdity_n in_o any_o case_n wherefore_o i_o see_v that_o it_o be_v my_o change_n that_o make_v i_o to_o have_v a_o new_a horizont_n and_o not_o the_o horizont_n to_o move_v with_o i_o phil._n you_o hit_v the_o nail_n on_o the_o head_n as_o the_o say_n be_v part_n now_o your_o author_n devide_v the_o horizont_n like_v to_o the_o sphere_n that_o be_v into_o a_o right_a horizont_n and_o into_o â_fw-la crooked_a or_o oblique_a spoud_a what_o be_v they_o that_o have_v a_o right_a horizont_n horizont_n phil._n they_o have_v a_o right_a horizont_n when_o as_o this_o circle_n cross_v the_o equinoctial_a righte_o in_o two_o part_n and_o they_o have_v a_o crooked_a horizont_n when_o either_o of_o the_o pole_n rizont_n be_v above_o the_o earth_n and_o the_o other_o under_o such_o be_v our_o horizont_n which_o inhabit_v europe_n but_o for_o the_o better_a understanding_n i_o have_v make_v here_o a_o figure_n in_o which_o c._n a._n and_o e._n be_v the_o equinoctial_a and_o because_o b._n a._n d._n cross_v it_o righte_o it_o be_v the_o right_a horizont_n also_o b._n d._n be_v the_o two_o pole_n of_o the_o world_n &_o because_o b._n be_v elevate_v above_o the_o earth_n it_o make_v f._n a._n g._n to_o be_v the_o obliquè_fw-fr 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be_v one_o of_o the_o great_a reason_n if_o i_o be_v not_o deceive_v which_o provoke_v the_o astronomer_n to_o make_v their_o computation_n from_o midday_n and_o as_o many_o as_o dwell_v either_o plain_a north_n or_o south_n have_v the_o same_o meridiane_n that_o you_o have_v and_o such_o as_o be_v either_o east_n or_o west_n have_v a_o other_o meridian_n and_o not_o the_o same_o which_o you_o have_v spoud_a then_o by_o your_o word_n i_o gather_v that_o the_o inhabitant_n which_o be_v direct_o under_o we_o the_o geographer_n antipode_n name_v they_o antipode_n be_v under_o the_o same_o meridiane_n line_n that_o we_o be_v philo._n very_o it_o be_v true_a but_o we_o will_v omyt_v the_o declaration_n of_o they_o untyll_o our_o next_o metinge_v and_o i_o will_v gyve_v you_o example_n of_o the_o meridiane_n circle_n join_v with_o the_o horizont_n here_o you_o see_v a._n e._n c._n represent_v the_o vertical_a point_n b._n d._n the_o pole_n of_o the_o world_n by_o which_o and_o a._n be_v 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134_o cleomedes_n 9_o climate_n what_o 73_o division_n of_o they_o after_o ptolomaeus_n eodem_fw-la their_o number_n 74_o their_o name_n 75_o south_n climate_n 76_o their_o table_n 78._o 79_o cooblentz_n 181_o colchis_n 193_o collen_n where_o the_o pilgrimage_n be_v to_o the_o three_o king_n 181_o colour_n circle_n ij_o &_o their_o definition_n 36_o comet_n engender_v where_o 42_o constantinople_n 184_o content_n of_o the_o first_o book_n 51_o continens_fw-la what_o 113_o coos_n 198_o corsica_n a_o island_n 176_o cosmographie_n mete_v for_o all_o estate_n 4_o cosmographie_n most_o excellent_a of_o all_o science_n eodem_fw-la cosmography_n definition_n 5_z how_o it_o differ_v from_o geographie_n 6_o cosmographie_n excel_v geography_n and_o chorographie_n 8_o the_o principal_a part_n of_o it_o 111_o cosmographical_a glass_n 120_o crates_n error_n place_n the_o luminary_n above_o the_o eight_o heaven_n 11_o crete_n a_o island_n 177_o cuba_n 198_o cumpasse_n unknowen_a to_o the_o old_a hydrographer_n 160_o the_o country_n of_o pygmeans_n 191_o curua_fw-la &_o her_o chief_a city_n 163_o cyamba_n 197_o cyclades_n island_n 176_o cyprus_n 198_o d._n dalmatia_n 182_o damascus_n 193_o declination_n what_o 28_o declination_n how_o to_o be_v seek_v out_o by_o instrument_n 29_o ☞_o a_o table_n of_o the_o son_n declination_n 31_o democritus_n error_n in_o place_v of_o mercury_n 11._o distinction_n of_o zone_n 65_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 64_o diameter_n of_o a_o sphere_n what_o &_o how_o it_o differ_v from_o the_o axe_n tree_n 15_o digree_n what_o 25_o digree_n of_o longitude_n of_o place_n from_o whence_o account_v 58_o dimention_n what_o it_o be_v 55_o distance_n in_o mile_n of_o diverse_a place_n how_o to_o find_v out_o 140_o distance_n of_o place_n how_o to_o find_v out_o 141_o diversity_n of_o opinion_n touchinge_v the_o earth_n bis_fw-la circuit_n 62_o