Selected quad for the lemma: cause_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
cause_n	degree_n	latitude_n	zone_n	42	3	14.4514	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A03380	The schoole of skil containing two bookes: the first, of the sphere, of heauen, of the starres, of their orbes, and of the earth, &c. The second, of the sphericall elements, of the celestiall circles, and of their vses, &c. Orderly set forth according to art, with apt figures and proportions in their proper places, by Tho. Hill.	Hill, Thomas, b. ca. 1528.; Jaggard, William, 1569-1623.	1599 (1599)	STC 13502; ESTC S104125	144,541	253

one_o on_o the_o northerly_a and_o the_o other_o on_o the_o southerly_a side_n of_o it_o and_o the_o beginning_n of_o either_o be_v the_o hot_a the_o end_v cold_a the_o middle_a of_o they_o exquisite_o temperate_a in_o the_o other_o part_n do_v the_o heat_n either_o so_o much_o the_o more_o exceed_v or_o the_o bitter_a cold_a overcom_v and_o rule_v as_o how_o much_o the_o near_o they_o approach_v or_o come_v unto_o the_o burn_a zone_n or_o otherwise_o unto_o either_o of_o the_o extreme_a zone_n which_o continual_o cause_v a_o bitter_a and_o a_o extreme_a cold_n the_o cause_n of_o this_o diversity_n be_v through_o the_o sun_n beam_n for_o the_o sun_n continual_o move_v in_o the_o middle_a journey_n of_o heaven_n describe_v between_o the_o two_o tropic_n and_o digress_v or_o go_v beyond_o the_o prefix_a bound_n of_o nature_n do_v not_o show_v his_o beam_n unto_o diverse_a part_n of_o the_o earth_n in_o one_o manner_n but_o unto_o the_o place_n right_a under_o and_o in_o the_o burn_a zone_n the_o tract_n or_o country_n contain_v under_o they_o do_v he_o send_v down_o right_a beam_n which_o stretch_v to_o the_o upper_a face_n of_o the_o earth_n at_o right_a angle_n and_o unto_o the_o country_n of_o either_o temperate_a zone_n do_v the_o sun_n send_v down_o thwart_v or_o slope_v beam_n and_o unto_o the_o place_n under_o either_o cold_a zone_n do_v he_o stretch_n long_a beam_n on_o the_o plain_a of_o the_o earth_n even_o the_o like_a as_o be_v near_o to_o the_o horizone_n which_o neither_o reach_n unto_o the_o upper_a face_n of_o the_o earth_n nor_o cause_n angle_n but_o keep_v a_o equal_a distance_n unto_o it_o do_v stretch_n forth_o infinite_o but_o those_o beam_n of_o the_o sun_n do_v neither_o give_v light_n nor_o heat_n but_o turn_v backward_o in_o that_o the_o property_n of_o the_o reflection_n which_o of_o the_o beam_n against_o a_o solider_fw-la resistance_n prohibit_v or_o let_v the_o penetration_n be_v a_o certain_a repercussion_n and_o reverberation_n that_o increase_v and_o double_v the_o force_n of_o the_o direct_a beam_n and_o by_o the_o reflexed_a beam_n to_o it_o adjoin_v or_o at_o the_o least_o by_o his_o virtue_n apply_v and_o communicate_v see_v this_o reflection_n be_v the_o especiall_a cause_n of_o the_o heat_n and_o that_o the_o angle_n of_o the_o reflection_n fall_v do_v continual_o make_v or_o be_v equal_a in_o the_o angle_n for_o that_o cause_n do_v they_o much_o unlike_a increase_n the_o force_n of_o the_o directe_v beam_n and_o their_o effect_n do_v notable_o vary_v so_o that_o in_o the_o burn_a zone_n the_o reflection_n stretch_v unto_o right_a angle_n see_v the_o straight_a or_o right_a beam_n be_v carry_v &_o lead_v into_o themselves_o in_o such_o sort_n that_o as_o direct_v and_o re●lexen_n they_o meet_v and_o be_v mix_v and_o in_o this_o double_v as_o it_o be_v the_o virtue_n and_o force_n of_o the_o direct_a beam_n be_v on_o such_o wise_a increase_v that_o it_o kindle_v burn_v and_o consume_v and_o in_o either_o temperate_a zone_n be_v the_o reflection_n cause_v at_o right_a angle_n in_o that_o the_o sun_n beam_n do_v thwart_o reach_v to_o the_o upper_a face_n of_o the_o earth_n and_o be_v turn_v and_o extend_v backward_o unto_o thwart_a angle_n which_o how_o much_o the_o near_o and_o like_a they_o be_v to_o the_o right_n so_o much_o the_o near_a do_v they_o join_v either_o beam_n together_o by_o which_o they_o procee_v and_o come_v into_o the_o near_a part_n of_o the_o burn_a zone_n but_o so_o much_o the_o blunt_a as_o they_o stretch_n so_o much_o the_o long_o do_v they_o separate_v either_o beam_n as_o how_o much_o the_o more_o they_o be_v extend_v unto_o the_o extreme_a or_o outmost_a bound_n and_o for_o this_o cause_n do_v they_o more_o heat_n than_o the_o fore_a part_n of_o the_o temperate_a zone_n who_o heat_n be_v a_o little_o gentle_a or_o mild_a than_o the_o heat_n of_o the_o burn_a zone_n and_o the_o beam_n a_o little_a further_o of_o who_o cold_a notwithstanding_o differ_v somewhat_o from_o the_o extreme_a or_o outmost_a untemperate_a zone_n and_o those_o which_o stretch_n and_o fall_n into_o the_o middle_a region_n of_o either_o temperate_a zone_n do_v cause_n a_o mean_a between_o the_o right_n and_o very_o sharp_a angle_n and_o yet_o not_o direct_o match_v or_o join_v nor_o do_v they_o by_o so_o near_o a_o space_n communicate_v their_o virtue_n as_o in_o the_o begin_n of_o it_o neither_o by_o so_o large_a a_o distance_n as_o in_o the_o end_n but_o in_o the_o middle_n in_o a_o manner_n so_o that_o they_o cause_n and_o increase_v a_o temperate_a heat_n in_o the_o same_o zone_n but_o in_o the_o extreme_a or_o cold_a zone_n be_v no_o reflection_n of_o beam_n cause_v for_o those_o beam_n equal_o distant_a from_o the_o earth_n be_v streach_v forth_o infinite_o and_o for_o that_o cause_n do_v those_o neither_o give_v light_a nor_o move_v or_o procure_v heat_n neither_o do_v those_o zone_n at_o any_o time_n warm_a either_o perfect_o clear_a or_o appear_v bright_a but_o that_o they_o continual_o be_v foggy_a misty_a dark_a and_o bitter_a or_o extreme_a cold_a through_o the_o continual_a mist_n which_o more_o and_o more_o increase_n especial_o towards_o the_o northerly_a pole_n and_o yet_o many_o affirm_v a_o reasonable_a dwell_n in_o those_o place_n yea_o and_o under_o the_o northerly_a pole_n but_o far_o cold_a and_o bitter_a dwelling_n through_o the_o far_o be_v from_o the_o way_n of_o the_o sun_n and_o behold_v of_o the_o comfortable_a star_n for_o the_o sun_n through_o he_o over_o far_o distance_n can_v by_o his_o presence_n above_o the_o earth_n comfort_n and_o heat_n this_o now_o be_v the_o perfect_a cause_n of_o the_o diverse_a and_o universal_a coustitution_n of_o the_o air_n and_o chief_a quality_n in_o each_o zone_n so_o that_o of_o the_o particular_a constitution_n be_v other_o cause_n but_o to_o return_v unto_o the_o temperate_a zone_n the_o latitude_n of_o either_o temperate_a zone_n be_v of_o 43._o degree_n almost_o of_o german_a mile_n 645._o and_o of_o furlong_n 21500._o so_o that_o the_o boreallor_n northerly_a zone_n begin_v from_o the_o tropic_a of_o cancer_n end_v at_o the_o arctic_a circle_n or_o at_o the_o degree_n of_o latitude_n 66._o and_o 31._o minute_n and_o the_o southerly_a from_o the_o tropic_n of_o capricorn_n be_v extend_v or_o reach_v unto_o the_o antarcticke_a circle_n or_o the_o degree_n of_o the_o southerly_a latitude_n 66._o and_o 32._o minute_n the_o untemperate_a cold_a zone_n that_o reach_v from_o either_o temperate_a unto_o the_o pole_n of_o the_o world_n do_v move_v continual_a cold_a and_o frost_n so_o that_o the_o beam_n of_o the_o sun_n although_o they_o pierce_v and_o enter_v through_o yet_o see_v they_o extend_v not_o backward_o nor_o through_o the_o reflection_n or_o streach_v backward_o be_v strengthen_v and_o sharpen_v therefore_o can_v they_o not_o so_o heat_n that_o by_o the_o thaw_v they_o dissolve_v the_o earth_n and_o ice_n nor_o put_v away_o or_o void_a the_o mistress_n now_o the_o untemperate_a northerly_a zone_n begin_v from_o the_o 66._o degree_n and_o 31._o minute_n of_o the_o northerly_a latitude_n end_v at_o the_o pole_n arctic_a and_o the_o untemperate_a southerly_a zone_n begin_v from_o the_o same_o bind_v of_o the_o southerly_a latitude_n extend_v and_o end_v at_o the_o pole_n antarcticke_a those_o people_n which_o dwell_v under_o the_o burn_a zone_n be_v name_v of_o the_o greek_n amphiskioi_n amphiscij_fw-la in_o that_o the_o noon_n shadow_n at_o diverse_a time_n of_o the_o year_n go_v or_o be_v cast_v to_o they_o twoe_o way_n as_o towards_o the_o south_n or_o north._n and_o twice_o also_o in_o the_o year_n run_v the_o sun_n right_a over_o their_o head_n as_o be_v demonstrate_v in_o the_o second_o theorme_n of_o euclid_n so_o that_o at_o noon_n it_o come_v to_o pass_v that_o they_o have_v almost_o no_o shadow_n for_o the_o sun_n be_v direct_a or_o in_o right_a line_n over_o their_o head_n at_o noon_n he_o than_o send_v down_o right_a beam_n which_o be_v cast_v or_o streach_v to_o the_o plain_a of_o the_o earth_n at_o right_a angle_n so_o that_o their_o shadow_n fall_v and_o be_v right_n under_o the_o foot_n and_o not_o on_o any_o side_n of_o they_o so_o that_o the_o sun_n in_o any_o other_o time_n of_o the_o year_n be_v without_o the_o vertical_a point_n the_o shadow_n at_o noon_n be_v one_o while_o cast_v into_o the_o south_n and_o another_o while_n into_o the_o north_n unto_o they_o even_o as_o the_o sun_n digress_v from_o their_o top_n or_o noonstéed_n be_v either_o carry_v into_o the_o north_n or_o otherwise_o decline_v into_o the_o south_n this_o sort_n of_o people_n which_o be_v under_o either_o temperate_a zone_n be_v call_v of_o the_o greek_a cosmographer_n eteroskioi_n heteroscij_fw-la in_o that_o they_o have_v a_o single_a

and_o reasonable_a well_o furnish_v of_o all_o thing_n needful_a for_o man_n life_n so_o that_o in_o the_o same_o middle_a region_n of_o the_o earth_n under_o the_o equatour_n it_o appear_v that_o through_o the_o coldness_n of_o the_o night_n it_o do_v there_o temper_v sufficient_o the_o burn_a heat_n of_o the_o day_n beside_o these_o after_o the_o mind_n of_o hiero._n cardane_n in_o that_o saturn_n mercury_n and_o the_o moon_n which_o proper_o be_v cold_a and_o moist_a planet_n have_v a_o great_a force_n in_o the_o region_n under_o this_o zone_n but_o especial_o the_o moon_n that_o work_v she_o most_o force_n there_o in_o the_o night_n time_n more_o than_o the_o other_o twoe_o and_o of_o this_o cause_n more_o temperatnesse_n in_o the_o day_n time_n beside_o these_o it_o be_v well_o know_v that_o those_o people_n have_v two_o summer_n and_o two_o winter_n in_o the_o year_n for_o in_o the_o year_n of_o our_o lord_n 1530._o at_o the_o will_n and_o charge_n of_o charles_n the_o five_o emperor_n a_o part_n of_o america_n westward_o be_v discover_v where_o peru_n among_o the_o rest_n be_v find_v rich_a both_o of_o gold_n and_o other_o rich_a thing_n and_o costly_a drug_n which_o be_v situate_v in_o longitude_n of_o 290._o degree_n from_o the_o west_n towards_o the_o east_n and_o be_v distant_a 5._o degree_n from_o the_o equatoure_n towards_o the_o south_n but_o what_o substance_n of_o gold_n and_o other_o rich_a thing_n have_v yearly_a be_v bring_v from_o this_o isle_n need_v not_o here_o any_o further_a rehearsal_n and_o the_o like_a be_v to_o be_v consider_v and_o note_v of_o the_o other_o two_o zone_n contain_v between_o the_o polare_fw-la circle_n and_o pole_n of_o the_o world_n although_o albertus_n mag._n deni_v a_o commodious_a dwell_n for_o man_n in_o those_o place_n and_o confirm_v the_o same_o by_o probable_a reason_n yet_o experience_n reclaim_v and_o deni_v those_o opinion_n of_o he_o and_o other_o ancient_a writer_n in_o that_o it_o be_v well_o know_v that_o gothland_n norway_n russia_n lapeland_n groveland_n and_o diverse_a other_o country_n toward_o the_o north_n pole_n be_v inhabit_v and_o well_o people_v and_o galeottus_fw-la naruiensis_fw-la prove_v that_o man_n dwell_v under_o the_o north_n pole_n affirm_v the_o same_o not_o to_o be_v true_a that_o the_o cause_n of_o the_o cold_a there_o be_v only_o the_o far_a distance_n of_o the_o sun_n as_o not_o of_o the_o heat_n by_o nearness_n of_o his_o come_n in_o that_o the_o sun_n by_o reason_n of_o the_o sign_n in_o which_o he_o be_v either_o increase_v or_o diminish_v they_o with_o us._n beside_o he_o affirm_v that_o the_o cold_a be_v not_o so_o disperse_v round_o about_o as_o that_o it_o compass_v round_o after_o the_o form_n of_o a_o circle_n nor_o that_o the_o heat_n in_o like_a sort_n do_v run_v round_o about_o the_o whole_a body_n of_o the_o earth_n further_o cardane_n write_v that_o under_o the_o pole_n there_o be_v no_o such_o coldness_n as_o some_o suppose_v in_o that_o the_o moon_n venus_n and_o mars_n have_v the_o great_a latitude_n in_o respect_n of_o the_o sun_n and_o the_o other_o beside_o for_o the_o moon_n have_v five_o degree_n to_o the_o north_n venus_n and_o mars_n excee_v unto_o eight_o degree_n northward_o but_o saturn_n which_o be_v the_o author_n of_o cold_a scarce_o perform_v three_o degree_n northward_o beside_o these_o the_o moon_n more_o avail_v northward_o and_o southward_o near_a to_o the_o pole_n than_o the_o sun_n in_o that_o she_o near_o approach_v those_o part_n for_o the_o moon_n as_o above_o say_v have_v five_a degree_n of_o latitude_n as_o well_o to_o the_o north_n as_o south_n so_o that_o when_o she_o shall_v be_v in_o the_o first_o degree_n of_o cancer_n with_o her_o great_a latitude_n northward_o that_o be_v in_o the_o head_n of_o the_o dragon_n she_o shall_v then_o be_v near_o by_o five_o degree_n to_o the_o northerly_a pole_n than_o the_o sun_n and_o in_o like_a manner_n when_o she_o be_v in_o the_o tail_n of_o the_o dragon_n at_o the_o entrance_n and_o beginning_n of_o capricorn_n she_o shall_v be_v near_o the_o pole_n antarcticke_a by_o five_o degree_n than_o the_o sun_n although_o in_o the_o winter_n the_o moon_n shall_v be_v in_o the_o begin_n of_o capricorn_n with_o the_o southerly_a latitude_n of_o four_o or_o five_o degree_n yet_o may_v she_o work_v and_o cause_n more_o in_o the_o change_n of_o weather_n and_o shall_v cause_v more_o in_o scotland_n than_o the_o sun_n in_o that_o her_o power_n and_o virtue_n there_o be_v such_o but_o in_o brasilia_n and_o under_o the_o antarcticke_a pole_n for_o two_o cause_n the_o one_o in_o that_o she_o be_v there_o of_o such_o power_n and_o the_o other_o for_o that_o in_o her_o work_n she_o be_v near_a what_o the_o longitude_n and_o latitude_n of_o the_o celestial_a zone_n be_v the_o longitude_n of_o zone_n begin_v from_o the_o west_n and_o be_v extend_v by_o the_o noonestéede_o into_o the_o east_n and_o from_o the_o east_n again_o by_o the_o midnight_n point_n into_o the_o west_n the_o motion_n of_o the_o sun_n in_o the_o zodiac_n and_o pole_n of_o the_o zodiac_n do_v describe_v the_o latitude_n of_o the_o zone_n for_o the_o sun_n motion_n or_o the_o zodiac_n do_v describe_v the_o burn_a zone_n see_v the_o sun_n on_o the_o one_o part_n of_o the_o zodiac_n go_v towards_o the_o north_n unto_o the_o elongation_n of_o 23._o degree_n 28._o minute_n and_o be_v by_o his_o daily_a motion_n in_o the_o begin_n of_o cancer_n do_v describe_v the_o tropic_a of_o cancer_n which_o be_v the_o bind_v of_o the_o two_o zone_n the_o burn_a zone_n and_o northerly_a temperate_a zone_n and_o on_o the_o other_o part_n of_o the_o zodiac_n do_v the_o sun_n go_v into_o the_o south_n unto_o the_o same_o elongation_n and_o be_v in_o the_o begin_n of_o capricorn_n do_v likewise_o describe_v the_o tropic_n of_o capricorn_n which_o be_v the_o bind_v of_o the_o other_o twoe_o zone_n in_o that_o it_o distinguish_v the_o burn_v from_o the_o southerly_a temperate_a zone_n and_o the_o space_n also_o include_v in_o these_o two_o circle_n use_v the_o middle_a place_n be_v call_v the_o burn_a zone_n and_o thus_o the_o burn_a zone_n do_v employ_v 46._o degree_n and_o 57_o minute_n the_o pole_n of_o the_o zodiac_n which_o be_v daily_o about_o the_o pole_n of_o the_o world_n from_o which_o they_o differ_v 23._o degree_n and_o 28._o minute_n and_o be_v draw_v by_o the_o motion_n of_o the_o first_o mover_n do_v describe_v two_o circle_n in_o the_o diverse_a part_n of_o heaven_n as_o the_o polare_fw-la circle_n which_o also_o be_v the_o bound_n of_o the_o zone_n that_o distinguish_v the_o twoe_o temperate_a from_o the_o cold_a zone_n so_o that_o the_o latitude_n of_o either_o cold_a zone_n unto_o the_o pole_n of_o the_o world_n be_v of_o 23._o degree_n and_o 28._o minute_n the_o other_o degree_n of_o the_o semicyrcle_n be_v atribute_v to_o the_o temperate_a zone_n so_o that_o either_o zone_n contain_v 43._o degree_n and_o 3._o minute_n what_o be_v the_o longitude_n and_o latitude_n of_o the_o earthly_a zone_n the_o longitude_n of_o the_o earthly_a zone_n be_v like_a to_o the_o longitude_n of_o the_o celestial_a as_o from_o the_o west_n by_o the_o noon_n steed_n into_o the_o east_n and_o from_o thence_o by_o the_o midnight_n point_n again_o into_o the_o west_n and_o the_o latitude_n of_o they_o be_v like_a to_o the_o latitude_n of_o the_o celestial_a zone_n for_o as_o the_o manner_n of_o the_o latitude_n of_o the_o celestial_a burn_a zone_n be_v unto_o the_o whole_a cyrcumference_n even_o so_o be_v the_o manner_n of_o the_o earthly_a burn_a zone_n unto_o the_o compass_n about_o of_o the_o earthly_a globe_n that_o be_v as_o 47._o degree_n be_v unto_o 360._o and_o so_o likewise_o conceive_v of_o the_o other_o and_o that_o this_o may_v plain_o appear_v use_v the_o figure_n follow_v in_o which_o a_o l_o h_o e._n be_v the_o meridian_n or_o colour_n of_o the_o solstice_n e_fw-la x_o l._n the_o equatoure_n a_o x_o h._n the_o meridian_n s_z u_z p._n the_o earthly_a globe_n s_o n._n the_o earthly_a tropic_n of_o cancer_n k_o o._n the_o tropic_n of_o capricorn_n t_o u._n and_o q_o p._n the_o arctic_a circle_n to_o these_o answer_n f_o r_o o_o k_o b_o b._n and_o d_o s_o m_o c_o c._n also_o c_o ff_v b_o a_o g_o e_o e_o i._n the_o celestial_a circle_n and_o what_o the_o proportion_n f_o d._n be_v unto_o the_o whole_a compass_n d_o a_fw-fr k_o g_o f_o the_o same_n be_v as_o above_o write_v the_o proportion_n r_o s._n unto_o the_o whole_a cyrcumference_n of_o the_o earthly_a globe_n and_o on_o this_o wise_a conceive_v of_o the_o other_o circle_n the_o letter_n f_o d._n be_v the_o latitude_n of_o the_o celestial_a burn_a zone_n and_o r_o s._n of_o the_o earthly_a do_v c._n

degree_n of_o the_o distance_n of_o the_o parallel_n do_v minute_n depend_v then_o from_o the_o difference_n of_o the_o two_o next_o number_n to_o one_o degree_n may_v the_o proportional_a part_n be_v deduct_v or_o draw_v which_o from_o the_o number_n of_o the_o mile_n express_v unto_o a_o whole_a degree_n be_v abate_v that_o the_o parallel_n succeed_v may_v be_v little_a &_o little_o be_v cause_v to_o stretch_n &_o appear_v narower_n to_o be_v brief_a the_o mile_n with_o the_o scruple_n or_o quarter_n if_o any_o be_v adjoin_v let_v they_o be_v reduce_v into_o the_o whole_a ark_n of_o the_o difference_n of_o longitude_n which_o then_o shall_v manifest_o show_v and_o express_v the_o measure_a space_n by_o the_o german_a mile_n ptolemy_n when_o he_o have_v learn_v the_o longitude_n and_o latitude_n of_o certain_a notable_a place_n he_o can_v extract_v and_o gather_v by_o they_o the_o other_o unknown_a place_n by_o the_o distance_n true_o learn_v from_o traveller_n for_o by_o the_o longitude_n and_o latitude_n know_v of_o two_o circle_n and_o the_o distance_n also_o of_o they_o from_o any_o three_o place_n there_o be_v then_o offer_v and_o give_v to_o know_v as_o well_o the_o longitude_n as_o the_o latitude_n of_o the_o three_o place_n further_o in_o any_o two_o place_n lie_v and_o be_v in_o the_o upper_a face_n of_o the_o earth_n be_v five_o note_n common_o learn_v the_o distance_n of_o they_o convert_v into_o degree_n the_o latitude_n of_o the_o one_o and_o the_o latitude_n of_o the_o other_o the_o difference_n of_o longitude_n the_o angle_n under_o the_o circumferencial_a distance_n and_o the_o meridians_fw-la contain_v by_o the_o other_o of_o the_o which_o five_o if_o three_o only_o be_v know_v it_o be_v certain_a that_o the_o other_o two_o may_v easy_o come_v to_o knowledge_n by_o the_o practice_n and_o skill_n of_o the_o spherical_a tryangle_n a_o example_n of_o these_o former_a word_n as_o touch_v the_o difference_n of_o longitude_n of_o two_o place_n the_o latitude_n be_v alike_o as_o the_o city_n byzantium_n now_o call_v constantinople_n who_o longitude_n be_v 55._o degree_n and_o no_o minute_n the_o latitude_n have_v 43._o degree_n and_o 5._o minute_n the_o other_o city_n trapezus_n have_v the_o longitude_n of_o 70._o degree_n and_o 50._o minute_n the_o latitude_n of_o 43._o degree_n and_o 5._o minute_n the_o difference_n of_o longitude_n be_v of_o 15._o degree_n and_o 50._o minute_n to_o one_o degree_n of_o the_o common_a parallel_n and_o to_o each_o place_n do_v 10._o german_a mile_n with_o 29_o 30._o answer_n or_o agree_v these_o now_o bring_v into_o the_o difference_n of_o longitude_n do_v cause_n &_o make_v 174._o german_a mile_n almost_o the_o like_a example_n to_o the_o former_a be_v arbela_n of_o assiria_n which_o have_v the_o longitude_n of_o 80_o and_o no_o minute_n the_o latitude_n of_o 37._o and_o 15._o minute_n the_o other_o athens_n who_o longitude_n be_v of_o 52._o degree_n and_o 15._o minute_n the_o latitude_n 37._o degree_n and_o 15._o minute_n the_o difference_n be_v of_o 27._o degree_n and_o 45._o minute_n other_o brief_a example_n  _fw-fr lon._n lati._n areca_n in_o comagena_n be_v a_o part_n of_o syria_n 70._o 10._o 37._o 15._o megara_n the_o country_n of_o euclid_n 52._o 0._o 37._o 15._o the_o difference_n be_v of_o 18._o 10._o  _fw-fr lon._n lat._n philippi_n a_o city_n in_o thracia_n or_o country_n of_o alexandria_n 50._o 45._o 41._o 50._o the_o royal_a city_n of_o room_n 36._o 20._o 41._o 50._o the_o difference_n be_v of_o 14._o 25._o longitude_n lipsia_n 29._o 58._o 51._o 24._o the_o difference_n of_o long_a be_v 9_o degr_n &_o 42._o min._n the_o difference_n of_o long_a be_v 6._o degree_n &_o 4._o min._n antwerp_n 20._o 16._o 51._o 28._o vratislavia_n 34._o 34_o 51._o 10._o erphordia_fw-la 28._o 30._o 51._o 10._o if_o place_n do_v differ_v in_o the_o only_a latitude_n or_o that_o both_o be_v place_v towards_o one_o pole_n or_o either_o distant_a from_o the_o middle_n of_o the_o equatour_n so_o that_o in_o the_o only_o latitude_n the_o place_n differ_v when_o the_o longitude_n be_v like_a the_o standing_z of_o the_o place_n be_v to_o be_v consider_v toward_o either_o pole_n whether_o either_o place_n decline_v towards_o one_o pole_n or_o that_o the_o one_o be_v southerly_a and_o the_o other_o northerly_a if_o they_o decline_v unto_o one_o place_n and_o quarter_n then_o deduct_v the_o lesser_a latitude_n out_o of_o the_o more_o and_o the_o difference_n of_o latitude_n shall_v appear_v if_o either_o be_v distant_a from_o the_o middle_n of_o the_o equatoure_n the_o latitude_n join_v do_v show_v the_o difference_n the_o degree_n of_o the_o difference_n wrought_v by_o 15._o and_o the_o scruple_n divide_v by_o 4._o shall_v offer_v &_o give_v the_o estimate_n distance_n in_o german_a mile_n as_o in_o this_o example_n the_o city_n of_o noriberge_n have_v 28._o degree_n and_o 20._o minute_n of_o longitude_n the_o latitude_n be_v of_o 49._o degree_n and_o 24._o minute_n the_o other_o be_v mylayne_v who_o longitude_n be_v of_o 28._o degree_n and_o 20._o minute_n the_o latitude_n have_v 45._o degree_n and_o 6._o minute_n the_o difference_n of_o latitude_n be_v of_o 4._o degree_n and_o 18._o minute_n the_o space_n between_o be_v 64._o mile_n and_o a_o half_a like_a example_n be_v these_o trapezus_n 70._o 15._o 43._o 5._o the_o difference_n of_o latit_fw-la be_v 5._o degree_n &_o 45._o min._n the_o difference_n of_o latit_fw-la be_v 6._o degree_n &_o 44._o min._n antioch_n 70._o 15._o 37._o 20._o padua_n 31._o 50._o 51._o 0._o budissina_fw-la 31._o 50._o 44._o 16._o if_o two_o differ_v together_o in_o the_o longitude_n and_o latitude_n and_o that_o either_o decline_v toward_o one_o pole_n then_o in_o either_o towards_o the_o place_n differ_v as_o in_o the_o longitude_n and_o latitude_n be_v the_o difference_n of_o the_o space_n from_o either_o bound_n of_o the_o latitude_n and_o longitude_n gather_v the_o half_a difference_n of_o the_o latitude_n add_v to_o the_o lesser_a altitude_n shall_v show_v the_o parallel_n in_o which_o the_o difference_n of_o longitude_n be_v account_v with_o that_o parallel_n by_o this_o rule_n be_v the_o mile_n gather_v and_o know_v which_o answer_n or_o agree_v to_o one_o degree_n these_o find_v reduce_v into_o the_o whole_a difference_n of_o the_o longitude_n and_o that_o which_o proceed_v agréeable_o of_o the_o same_o that_o be_v multiply_v in_o itself_o or_o arise_v of_o the_o multiplication_n keep_v after_o the_o degree_n of_o the_o difference_n of_o longitude_n reduce_v into_o 15._o and_o the_o minute_n annex_v if_o any_o such_o be_v distribute_v or_o divide_v by_o four_o that_o which_o arise_v of_o either_o work_n reduce_v joint_o one_o to_o the_o other_o and_o add_v to_o the_o number_n keep_v afore_o for_o of_o the_o whole_a gather_a may_v the_o square_a root_n be_v attain_v which_o show_v the_o distance_n of_o place_n as_o by_o a_o like_a example_n the_o city_n of_o witeberge_n have_v the_o longitude_n of_o 30._o degree_n and_o 30._o minute_n the_o latitude_n of_o 51._o degree_n and_o 50._o minute_n the_o other_o be_v jerusalem_n have_v 66._o degree_n of_o longitude_n and_o no_o minute_n the_o latitude_n be_v of_o 31._o degree_n and_o 55._o minute_n the_o difference_n of_o longitude_n be_v of_o 35._o degree_n and_o 30._o minute_n the_o difference_n of_o latitude_n be_v of_o 19_o degree_n and_o 55._o minute_n the_o middle_a parallel_n in_o which_o the_o difference_n of_o longitude_n be_v account_v do_v differ_v or_o be_v distant_a from_o the_o equatour_n 41_o degree_n and_o 52._o minute_n to_o one_o degree_n of_o the_o same_o do_v 11._o mile_n and_o 10._o scruple_n of_o a_o german_a mile_n answer_n which_o reduce_v into_o the_o difference_n of_o longitude_n do_v procreate_v or_o bring_v forth_o 396._o german_a mile_n these_o wrought_v together_o make_v 156816._o the_o degree_n of_o the_o difference_n of_o latitude_n be_v wrought_v by_o 15._o &_o the_o scruple_n divide_v by_o four_o do_v make_v 266._o german_a mile_n which_o multiply_v one_o in_o the_o other_o do_v perform_v and_o make_v 89401._o either_o of_o these_o square_a number_n join_v and_o the_o root_n extract_v the_o distance_n shall_v appear_v to_o be_v 4●5_n mile_n the_o find_n of_o the_o distance_n of_o place_n or_o city_n in_o a_o more_o easy_a manner_n that_o you_o may_v know_v how_o by_o the_o longitude_n and_o latitude_n of_o twoe_o place_n or_o city_n the_o distance_n of_o they_o may_v be_v find_v thus_o do_v when_o two_o city_n be_v offer_v who_o largeness_n be_v to_o you_o unknown_a sée●_n the_o longitude_n and_o latitude_n of_o both_o by_o the_o cosmographie_n of_o apian_a or_o pto_n lomy_n geography_n which_o be_v find_v write_v down_o the_o longitude_n of_o the_o one_o under_o the_o longitude_n of_o the_o other_o and_o the_o latitude_n of_o the_o one_o under_o the_o

northerly_a the_o will_v of_o s._n thomas_n in_o the_o bordure_n of_o aphrica_n have_v the_o longitude_n of_o 27._o degree_n and_o 20._o minute_n the_o latitude_n southerly_a be_v 16._o degree_n the_o difference_n of_o longitude_n be_v 34._o degree_n and_o 10._o scruple_n the_o difference_n of_o latitude_n which_o the_o conjoin_a latitude_n do_v make_v be_v of_o 32._o degree_n and_o see_v both_o by_o a_o equal_a space_n be_v distant_a towards_o the_o opposite_a pole_n from_o the_o equatour_n it_o therefore_o force_v not_o that_o the_o difference_n of_o longitude_n be_v gather_v in_o either_o parallel_n northerly_a or_o southerly_a in_o that_o they_o be_v equal_a for_o to_o one_o degree_n of_o the_o parallel_n which_o be_v of_o 16._o degree_n distant_a from_o the_o equatour_n do_v 14._o mile_n and_o 25._o scruple_n answer_n or_o agree_v which_o reduce_v into_o the_o difference_n of_o longitude_n do_v bring_v forth_o 492._o german_a mile_n which_o multiply_v together_o do_v bring_v 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scruple_n in_o which_o the_o difference_n of_o longitude_n must_v be_v account_v and_o to_o one_o degree_n of_o it_o in_o the_o rule_n do_v 10._o german_a mile_n and_o 7._o scruple_n answer_v which_o wrought_v into_o the_o difference_n of_o longitude_n do_v bring_v forth_o 57_o german_a mile_n almost_o those_o multiply_v do_v make_v the_o increase_n to_o be_v 3239._o by_o the_o difference_n also_o of_o the_o latitude_n those_o multiply_v do_v bring_v forth_o 1404225._o of_o the_o quadrant_n join_v the_o root_n have_v 1189._o german_a mile_n almost_o that_o be_v the_o distance_n seek_v of_o the_o place_n that_o the_o studious_a and_o diligent_a practioner_n may_v easter_n perceive_v and_o perfect_a understand_v these_o difference_n of_o the_o stand_n of_o place_n let_v they_o often_o accustom_v themselves_o therein_o that_o when_o the_o longitude_n and_o latitude_n of_o sundry_a place_n be_v offer_v they_o then_o consider_v whether_o they_o differ_v in_o the_o only_a longitude_n or_o latitude_n only_o or_o in_o both_o and_o what_o the_o latitude_n be_v of_o either_o and_o into_o which_o part_n from_o the_o equatour_n and_o beside_o that_o they_o learn_v to_o express_v the_o stand_n of_o they_o by_o proper_a line_n draw_v and_o the_o place_n note_v if_o the_o number_n of_o the_o latitude_n be_v alike_o and_o the_o number_n of_o the_o longitude_n be_v unlike_a then_o do_v the_o place_n only_o differ_v in_o the_o longitude_n therefore_o by_o two_o meridians_fw-la find_v and_o define_v lie_v cross_a to_o they_o in_o one_o parallel_n imagine_v and_o set_v the_o place_n of_o the_o great_a longitude_n in_o the_o point_n of_o the_o cross_v further_o off_o that_o the_o other_o in_o the_o near_a may_v be_v place_v unto_o the_o west_n for_o the_o place_n always_o who_o longitude_n be_v lesser_a than_o the_o other_o be_v near_o find_v to_o the_o west_n and_o the_o other_o be_v further_a distant_a into_o the_o east_n the_o ark_n also_o of_o the_o parallel_n include_v between_o either_o meridian_n do_v demonstrate_v the_o difference_n of_o longitude_n if_o the_o number_n of_o the_o longitude_n shall_v be_v alike_o and_o the_o number_n of_o the_o latitude_n unlike_a then_o be_v the_o diversity_n of_o the_o place_n in_o the_o only_a latitude_n therefore_o two_o parallel_n draw_v cross_n of_o which_o the_o one_o being_n high_o and_o the_o other_o low_a and_o cross_v they_o by_o one_o meridian_n they_o do_v set_v the_o place_n of_o the_o great_a latitude_n in_o the_o uppermost_a point_n of_o the_o cross_n and_o the_o other_o in_o the_o low_a point_n if_o the_o latitude_n be_v alike_o as_o the_o one_o southerly_a and_o the_o other_o northerly_a then_o the_o middle_a arcke_n of_o the_o merydian_a be_v between_o be_v equal_o cross_v by_o the_o parallel_n of_o the_o place_n draw_v thwart_o by_o the_o ark_n of_o the_o equatour_n in_o such_o sort_n that_o the_o equatour_n be_v by_o a_o equal_a space_n distant_a from_o either_o if_o both_o the_o number_n of_o the_o longitude_n and_o latitude_n shall_v be_v unequal_a and_o either_o place_n distant_a into_o the_o north_n from_o the_o equatour_n therefore_o in_o both_o be_v there_o a_o diversity_n therefore_o two_o meridian_n be_v imagine_v the_o one_o oriental_a dextre_n and_o the_o other_o occidental_a synistre_fw-fr and_o that_o by_o so_o marry_v parallel_n draw_v thwart_o which_o across_o the_o meridian_n the_o one_o southerly_a the_o other_o northerly_a and_o that_o the_o place_n who_o great_a longitude_n be_v touch_v in_o the_o low_a and_o further_a point_n and_o the_o other_o to_o be_v note_v right_o against_o that_o be_v in_o the_o upper_a and_o near_a point_n or_o thus_o contrariwise_o if_o one_o place_n shall_v exceed_v the_o other_o both_o in_o longitude_n and_o latitude_n and_o be_v further_o stand_v in_o the_o high_a point_n of_o the_o cross_n and_o thereby_o more_o far_o distant_a and_o the_o other_o note_v to_o stand_v right_a against_o and_o the_o seat_n also_o of_o the_o place_n 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mile_n and_o minute_n answer_v proper_o to_o one_o degree_n the_o mile_n and_o minute_n find_v multiply_v with_o the_o degree_n of_o the_o difference_n of_o longitude_n and_o the_o produce_v multiply_v in_o itself_o and_o you_o shall_v obtain_v and_o have_v the_o first_o quadrate_n three_o multiply_v the_o difference_n of_o latitude_n by_o the_o 15._o german_a mile_n and_o this_o produce_v also_o multiply_v in_o itself_o and_o you_o shall_v have_v the_o second_o quadrate_n last_o join_v or_o add_v together_o these_o tw●●_n quadrate_n number_n and_o of_o that_o produce_v or_o increase_v search_v out_o the_o quadrate_n root_n the_o quadrate_n or_o square_a root●_n be_v the_o distance_n of_o city_n offer_v a_o example_n of_o the_o three_o rule_n wischegarda_fw-it and_o verona_n do_v differ_v both_o in_o the_o longitude_n and_o latitude_n in_o that_o the_o longitude_n of_o vuischegarda_n be_v of_o 41._o degree_n and_o 17._o minute_n the_o latitude_n be_v of_o 52._o degree_n and_o 4._o 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part_n or_o degree_n of_o the_o equatour_n in_o his_o motion_n and_o rise_n above_o the_o horizont_n do_v make_v a_o hour_n and_o every_o degree_n four_o minute_n of_o a_o equal_a hour_n so_o that_o the_o quarter_n or_o fifteen_o minute_n of_o each_o degree_n do_v produce_v and_o cause_v one_o minute_n of_o a_o hour_n also_o they_o observe_v the_o ascension_n and_o descension_n of_o the_o sign_n in_o this_o circle_n for_o that_o in_o any_o region_n or_o country_n a_o man_n may_v know_v the_o length_n of_o the_o artificial_a day_n and_o night_n by_o have_v a_o spherical_a instrument_n and_o the_o sun_n place_v in_o the_o east_n horizont_fw-fr let_v the_o note_n of_o the_o equinoctial_a be_v move_v and_o after_o the_o sun_n be_v turn_v into_o the_o west_n horizont_fw-fr let_v the_o note_n again_o of_o the_o equinoctial_a be_v move_v into_o the_o east_n horizont_fw-fr so_o that_o the_o degree_n of_o the_o equinoctial_a number_v mark_v with_o these_o note_n do_v cause_n a_o artificial_a 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day_n and_o in_o the_o 10._o hour_n and_o 21._o minute_n after_o noon_n on_o wednesday_n and_o through_o this_o variation_n of_o the_o fix_a star_n and_o equinoctial_o be_v cause_v that_o the_o late_a practitioner_n have_v find_v a_o other_o quantity_n of_o the_o year_n contrary_a to_o the_o ancient_n for_o hipparchus_n and_o ptolemy_n have_v establish_v in_o their_o time_n the_o quantity_n of_o the_o tropic_n year_n to_o be_v of_o 365._o day_n 5._o hour_n 55._o minute_n and_o 12._o second_n the_o alphonsine_n of_o 365._o day_n 5._o hour_n 55._o minute_n and_o 12._o second_n albategnius_n 365._o day_n 5._o hour_n 46._o minute_n and_o 56._o second_n cardanus_n of_o 365._o day_n 5._o hour_n 48._o minute_n 41._o second_n and_o 47._o three_o and_o thebitius_n have_v establish_v the_o starry_a year_n to_o be_v of_o 365._o day_n 6_o hour_n 9_o minute_n and_o 32._o second_n which_o be_v the_o space_n of_o time_n in_o which_o the_o sun_n return_v unto_o the_o same_o fix_a star_n but_o the_o 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which_o the_o one_o be_v name_v northerly_a of_o the_o seven_o star_n in_o the_o great_a bear_n the_o other_o southerly_a in_o that_o the_o sun_n about_o the_o south_n seem_v always_o to_o abide_v with_o we_o in_o that_o quarter_n and_o if_o the_o same_o may_v be_v know_v which_o star_n be_v name_v northerly_a and_o which_o southerly_a and_o when_o the_o planet_n be_v name_v northerly_a and_o when_o southerly_a so_o that_o by_o this_o reason_n all_o the_o star_n and_o image_n from_o it_o tend_v towards_o the_o north_n to_o be_v northerly_a and_o from_o it_o tend_v towards_o the_o south_n to_o be_v southerly_a the_o northerly_a image_n in_o respect_n of_o the_o equinoctial_a be_v these_o the_o bull_n name_v in_o latin_a taurus_n be_v adorn_v with_o 33._o star_n although_o a_o other_o writer_n mention_v but_o of_o 32._o of_o these_o 5._o be_v in_o the_o face_n and_o about_o the_o eye_n and_o in_o the_o place_n where_o the_o horn_n be_v describe_v to_o be_v be_v one_o star_n a_o piece_n which_o make_v seven_o in_o number_n name_v hyades_n in_o greek_a and_o succullae_n in_o latin_a in_o that_o they_o stand_v like_a to_o the_o letter_n y._n these_o in_o the_o 10._o 11._o and_o 12_o degree_n of_o taurus_n have_v their_o latitude_n southerly_a of_o which_o 4._o be_v of_o the_o three_o bigness_n and_o one_o bright_a than_o the_o rest_n in_o the_o southerly_a eye_n name_v proper_o aldebaran_n of_o the_o first_o bigness_n and_o of_o the_o nature_n of_o marse_fw-mi the_o seven_o star_n on_o the_o back_n of_o this_o sign_n name_v pleiades_n and_o in_o latin_a virgiliae_fw-la but_o in_o english_a the_o cluster_a star_n in_o that_o they_o stand_v so_o near_o together_o that_o they_o can_v scarce_o be_v number_v yet_o these_o more_o

latitude_n of_o the_o other_o as_o the_o former_a example_n show_v in_o such_o sort_n that_o the_o degree_n of_o the_o other_o and_o likewise_o the_o minute_n under_o the_o minute_n after_o seek_v the_o difference_n as_o well_o of_o the_o longitude_n and_o latitude_n in_o this_o manner_n subtract_v the_o lesser_a longitude_n from_o the_o great_a the_o remainder_n be_v call_v the_o difference_n of_o the_o longitude_n after_o deduct_v the_o lesser_a latitude_n out_o of_o the_o more_o and_o the_o difference_n of_o the_o latitude_n shall_v remain_v by_o the_o difference_n of_o the_o longitude_n and_o latitude_n shall_v the_o distance_n of_o city_n give_v be_v gather_v but_o in_o that_o there_o be_v three_o manner_n difference_n of_o place_n as_o that_o there_o be_v certain_a place_n which_o differ_v in_o the_o only_a latitude_n that_o be_v under_o one_o meridiane_n and_o yet_o lie_v under_o diverse_a parallel_n and_o certain_a that_o differ_v in_o the_o only_a longitude_n that_o be_v under_o one_o parallel_n yet_o be_v diverse_a meridians_fw-la and_o certain_a that_o do_v differ_v both_o in_o the_o longitude_n and_o latitude_n that_o be_v they_o lie_v under_o diverse_a meridians_fw-la and_o parallel_n three_o rule_n also_o of_o the_o search_n of_o distance_n between_o two_o place_n be_v teach_v of_o the_o geographer_n the_o first_o rule_n when_o two_o city_n have_v one_o longitude_n be_v offer_v but_o have_v sundry_a latitude_n deducte_v the_o lesser_a out_o of_o the_o more_o the_o rest_n of_o degree_n in_o that_o they_o be_v the_o degree_n of_o the_o great_a circle_n multiply_v by_o 15._o for_o that_o 15._o german_a mile_n answer_v to_o one_o degree_n of_o the_o great_a circle_n and_o then_o shall_v you_o have_v the_o distance_n of_o the_o city_n but_o if_o minute_n depend_v to_o the_o degree_n of_o difference_n they_o divide_v they_o by_o four_o the_o quotient_a add_v to_o the_o before_o number_n of_o the_o mile_n for_o see_v one_o degree_n or_o 60._o minute_n do_v make_v 15._o german_a mile_n it_o ensue_v that_o four_o minute_n make_v one_o germane_a mile_n etc._n etc._n a_o example_n madeburge_n and_o egra_n agree_v only_o in_o longitude_n that_o be_v they_o be_v equal_o distant_a from_o the_o west_n or_o from_o the_o meridian_n which_o be_v draw_v or_o stretch_v by_o the_o fortunate_a iles._n for_o the_o longitude_n of_o either_o town_n be_v of_o 29._o degree_n the_o latitude_n of_o madeburge_n be_v of_o 52._o and_o 20._o minute_n the_o latitude_n of_o egra_n be_v of_o 50._o degree_n and_o 5._o minute_n therefore_o be_v egra_n more_o southerly_a than_o madeburge_n the_o difference_n of_o the_o latitude_n be_v 2._o degree_n &_o 15._o minute_n that_o be_v 33._o german_a mile_n stith_o a_o half_a &_o a_o quarter_n of_o a_o german_a mile_n another_o tthe_n longitude_n of_o trydent_n be_v of_o 30._o degree_n and_o 30._o minute_n the_o longitude_n of_o viteberge_n be_v much_o the_o latitude_n of_o trydent_n be_v of_o 45._o degree_n &_o 14._o minute_n the_o latitude_n of_o viteberge_n be_v of_o 51._o degree_n and_o 50._o minute_n these_o now_o differ_v in_o the_o only_a latitude_n which_o difference_n of_o the_o latitude_n be_v of_o 6._o degree_n and_o 36._o minute_n that_o be_v 99_o german_a mile_n so_o much_o be_v the_o distance_n almost_o between_o trydent_n and_o viteberge_n another_o the_o longitude_n of_o thunis_n be_v of_o ●6_n degree_n and_o 50._o minute_n the_o longitude_n of_o salerne_n in_o a_o manner_n the_o same_o the_o latitude_n of_o thunis_n be_v of_o 32._o degree_n and_o 30._o minute_n the_o latitude_n of_o salerne_n be_v of_o 40._o degree_n and_o 30._o minute_n the_o difference_n of_o latitude_n be_v of_o 〈◊〉_d degree_n &_o 〈◊〉_d minute_n that_o be_v 120._o mile_n and_o somuch_o be_v the_o distance_n between_o thunis_n and_o salerne_n another_o the_o city_n of_o york_n and_o the_o town_n of_o berwick_n agree_v in_o longitude_n for_o the_o longitude_n of_o either_o place_n be_v of_o 17._o degree_n and_o no_o minute_n but_o they_o differ_v in_o latitude_n in_o that_o the_o latitude_n of_o york_n be_v of_o 54._o degree_n &_o no_o minute_n the_o latitude_n of_o berwick_n be_v of_o 56._o degree_n &_o 50._o minute_n the_o difference_n of_o the_o latitude_n be_v of_o 2._o degree_n and_o 50._o minute_n that_o be_v 210._o english_a mile_n so_o much_o in_o a_o manner_n be_v the_o distance_n between_o the_o city_n of_o york_n and_o berwick_n another_o the_o city_n of_o london_n and_o northampton_n in_o a_o manner_n be_v of_o like_a longitude_n for_o the_o longitude_n of_o london_n be_v of_o 16._o degree_n and_o 30._o minute_n approve_v but_o they_o differ_v in_o latitude_n in_o that_o london_n have_v the_o latitude_n of_o 51._o degree_n and_o 34._o minute_n the_o latitude_n of_o northampton_n be_v of_o 52._o degree_n and_o 50._o minute_n the_o difference_n of_o the_o latitude_n be_v of_o 1._o degree_n and_o 16._o minute_n that_o be_v 7●_n english_a mile_n so_o much_o in_o a_o manner_n be_v the_o distance_n between_o london_n and_o northampton_n another_o this_o example_n differ_v both_o in_o the_o longitude_n and_o latitude_n somewhat_o for_o the_o longitude_n of_o colchester_n be_v 18._o degree_n and_o 30._o minute_n the_o longitude_n of_o oxeforde_n have_v 15._o degree_n and_o no_o minute_n the_o difference_n of_o longitude_n between_o the_o one_o and_o the_o other_o be_v of_o 3._o degree_n 38_o minute_n that_o be_v 109._o english_a mile_n the_o latitude_n of_o colchester_n have_v 51._o degree_n and_o 59_o minute_n the_o difference_n of_o latitude_n be_v no_o degree_n and_o 16._o minute_n so_o that_o 16._o english_a mile_n be_v the_o distance_n between_o the_o one_o and_o the_o other_o after_o their_o stand_n northward_o another_o cygnea_n and_o ratisbone_n agree_v in_o longitude_n for_o either_o be_v of_o 29._o degree_n and_o 51._o minute_n but_o they_o differ_v in_o latitude_n in_o that_o the_o latitude_n of_o cygnea_n have_v 50._o degree_n and_o 46._o minute_n the_o latitude_n of_o ratisbone_n of_o 48._o degree_n and_o 56._o minute_n the_o difference_n of_o latitude_n between_o the_o one_o and_o the_o other_o be_v 1._o degree_n and_o 50._o minute_n which_o make_v 27._o and_o a_o half_a german_a mile_n the_o second_o rule_n before_o the_o second_o rule_n be_v here_o teach_v it_o behove_v that_o you_o know_v how_o many_o german_a mile_n answer_v to_o each_o degree_n of_o the_o parallel_n pass_v by_o the_o zenith_n of_o city_n offer_v here_o conceive_v that_o not_o as_o in_o the_o former_a rule_n to_o every_o degree_n of_o each_o parallel_n but_o to_o each_o degree_n only_o of_o the_o parallel_a circle_n which_o streach_v and_o be_v under_o the_o equinoctial_a and_o as_o principal_a of_o all_o the_o parallel_n devide_v the_o whole_a earth_n into_o twoe_o equal_a half_n to_o which_o be_v 15._o german_a mile_n attribute_v as_o to_o a_o degree_n of_o it_o where_o the_o other_o circle_n as_o afore_o write_v be_v not_o of_o the_o same_o bigness_n but_o how_o much_o near_o they_o be_v to_o the_o pole_n so_o much_o the_o lesser_a they_o be_v and_o how_o further_a of_n they_o be_v from_o the_o ●n●●s_n so_o much_o the_o great_a they_o be_v whereof_o it_o be_v manife●e_a mile_n aswell_o the_o great_a as_o the_o less_o circle_n of_o the_o parallel_n ●●tes_n stribute_v or_o divide_v into_o 360._o degree_n and_o that_o those_o degree_n according_a to_o the_o distance_n of_o those_o parallel_n from_o the_o pole_n be_v great_a or_o lesser_a for_o the_o same_o cause_n shall_v you_o here_o find_v in_o the_o table_n follow_v how_o many_o german_a mile_n answer_v in_o each_o elevation_n to_o the_o degree_n of_o the_o parallel_n a_o table_n contain_v the_o degree_n of_o the_o difference_n of_o each_o parallel_n from_o the_o equator_fw-la unto_o the_o proper_a pole_n by_o whole_a degree_n of_o the_o latitude_n convert_v into_o miles_n degree_n miles_n scruple_n degree_n miles_n scruple_n degree_n miles_n scruple_n degree_n miles_n scruple_n degree_n miles_n scruple_n 1_o 14_o 59_o 19_o 14_o 11_o 37_o 11_o 59_o 55_o 8_o 30_o 73_o 4_o 23_o 2_o 14_o 59_o 20_o 14_o 6_o 38_o 11_o 49_o 56_o 8_o 23_o 74_o 4_o 8_o 3_o 14_o 58_o 21_o 14_o 0_o 39_o 11_o 39_o 57_o 8_o 10_o 75_o 3_o 53_o 4_o 14_o 58_o 22_o 13_o 54_o 40_o 11_o 29_o 58_o 7_o 57_o 76_o 3_o 38_o 5_o 14_o 56_o 23_o 13_o 48_o 41_o 11_o 19_o 59_o 7_o 43_o 77_o 3_o 22_o 6_o 14_o 55_o 24_o 13_o 42_o 42_o 11_o 9_o 60_o 7_o 30_o 78_o 3_o 7_o 7_o 14_o 53_o 25_o 13_o 36_o 43_o 10_o 58_o 61_o 7_o 16_o 79_o 2_o 52_o 8_o 14_o 51_o 26_o 13_o 29_o 44_o 10_o 47_o 62_o 7_o 2_o 80_o 2_o 36_o 9_o 14_o 48_o 27_o 13_o 22_o 45_o 10_o 36_o 63_o 6_o 48_o 81_o 2_o 21_o 10_o 14_o 46_o 28_o 13_o 15_o 46_o 10_o 25_o 64_o 6_o 34_o 82_o 2_o 5_o 11_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 these_o call_v the_o tropic_n of_o cancer_n and_o the_o other_o the_o tropic_n of_o capricorn_n why_o these_o be_v call_v the_o tropicke_n they_o be_v name_v the_o tropic_n of_o the_o greek_a word_n tropikoi_fw-fr which_o be_v in_o english_a the_o turn_n again_o in_o that_o when_o the_o sun_n be_v digress_v from_o the_o equatoure_n and_o come_v unto_o those_o he_o turn_v back_o again_o also_o the_o tropic_n circle_n touch_v the_o zodiac_n at_o the_o beginning_n of_o cancer_n and_o capricorn_n of_o which_o the_o one_o be_v call_v the_o tropic_n of_o cancer_n and_o the_o other_o of_o capricorn_n the_o one_o be_v northerly_a and_o the_o other_o southerly_a and_o as_o to_o our_o dwell_n the_o one_o be_v call_v the_o summer_n circle_n and_o the_o other_o the_o winter_n so_o that_o when_o the_o sun_n touch_v any_o of_o these_o he_o turn_v again_o and_o be_v carry_v towards_o the_o other_o as_o by_o this_o example_n further_o appear_v where_o all_o that_o season_n and_o time_n from_o the_o 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

tropic_n all_o heaven_n into_o five_o part_n or_o region_n which_o they_o call_v zone_n the_o description_n name_n quality_n and_o utility_n of_o the_o zone_n the_o four_o lesser_a circle_n call_v parallel_n that_o be_v afore_o describe_v do_v divide_v the_o whole_a heaven_n toward_o the_o pole_n into_o five_o space_n which_o that_o heaven_n may_v be_v compass_v about_o with_o these_o large_a swath_n the_o astronomer_n of_o the_o same_o call_v they_o zone_n or_o otherwise_o of_o the_o latin_n gerdil_n the_o cosmographer_n by_o the_o same_o imagination_n apply_v do_v also_o dispose_v and_o distribute_v the_o whole_a globe_n of_o the_o earth_n into_o five_o room_n or_o space_n lie_v direct_o under_o and_o agreeable_a in_o proportion_n to_o they_o in_o heaven_n wherefore_o a_o zone_n after_o the_o mind_n of_o the_o greek_n be_v a_o portion_n tract_n or_o space_n of_o heaven_n or_o earth_n between_o the_o two_o parallel_n or_o lesser_a circle_n be_v nigh_a equidistant_n or_o contain_v between_o the_o room_n equidistaunt_a and_o pole_n of_o the_o world_n and_o gyrd_v or_o compass_v as_o it_o be_v the_o heaven_n or_o earth_n or_o thus_o a_o zone_n be_v a_o space_n of_o earth_n like_a to_o the_o two_o parallel_n or_o lesser_a circle_n above_o which_o the_o astronomer_n imagine_v to_o run_v on_o the_o upper_a face_n of_o the_o sphere_n and_o as_o the_o whole_a portion_n include_v by_o the_o two_o tropic_n call_v the_o burn_a zone_n do_v compass_v heaven_n as_o a_o girdle_n even_o so_o imagine_v the_o room_n of_o the_o earth_n lie_v right_o under_o the_o tropic_n the_o zone_n have_v sundry_a name_n for_o of_o the_o greek_n they_o be_v call_v zóne_fw-la and_o of_o the_o latin_n by_o a_o borrow_a word_n zona_fw-la as_o may_v appear_v by_o julius_n firmicus_n macrobius_n virgilius_n ouide_v and_o other_o latin_n that_o heaven_n or_o earth_n be_v imagine_v to_o be_v gird_v about_o with_o these_o martianus_n name_v they_o swath_n tully_n and_o macrobius_n name_v they_o by_o 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