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35_o 17_o 14_o 6_o 0_o 16_o â—_o 22_o 41_o 16_o 15_o 6_o 25_o 17_o 31_o 22_o 47_o 15_o 16_o 6_o 50_o 17_o 48_o 23_o 52_o 14_o 17_o 7_o 15_o 17_o 5_o 23_o 57_o 13_o 18_o 7_o 39_o 17_o 22_o 23_o 2_o 12_o 19_o 8_o 3_o 18_o â—8_o 23_o 7_o 11_o 20_o 8_o 27_o 18_o 54_o 23_o 11_o 10_o 21_o 8_o â—â—_o 18_o 0_o 23_o 15_o 9_o 22_o 9_o 15_o 18_o 25_o 23_o 18_o 8_o 23_o 9_o 39_o 19_o 40_o 23_o 21_o 7_o 24_o 10_o 2_o 10_o 55_o 23_o 23_o 6_o 25_o 10_o 25_o 19_o 9_o 23_o 25_o 5_o 26_o 10_o 48_o 19_o 23_o 23_o 27_o 4_o 27_o 11_o 10_o 20_o 36_o 23_o 28_o 3_o 28_o 11_o 32_o 20_o 49_o 23_o 29_o 2_o 29_o 11_o 54_o 20_o 36_o 23_o 30_o 1_o 30_o 12_o 16_o 20_o 30_o 23_o 30_o 0_o ecliâ—_n â™_o ♓_o ♌_o â™’_o ♋_o ♉_o ecliâ—_n the_o meridiane_n with_o the_o horizont_n in_o any_o right_a or_o thwart_v &_o in_o the_o other_o four_o great_a circle_n do_v distinguish_v all_o heaven_n into_o twelve_o space_n which_o they_o call_v the_o house_n of_o heaven_n of_o these_o four_o which_o occupy_v the_o angle_n of_o 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america_n in_o the_o sea_n atlanticus_n be_v of_o such_o greatness_n that_o the_o same_o be_v suppose_v to_o be_v a_o four_o part_n of_o the_o world_n inhabit_v the_o middle_a or_o half_a of_o it_o have_v the_o longitude_n of_o 330._o degree_n and_o the_o latitude_n of_o ten_o degree_n southward_o the_o sea_n altanticus_n have_v many_o large_a land_n in_o it_o among_o which_o the_o most_o notable_a be_v spagnolla_n cuba_n parias_fw-la otherwise_o chersovesus_n by_o the_o straight_a that_o reach_v upward_o into_o the_o north_n the_o middle_n of_o the_o same_o have_v the_o longitude_n of_o 285._o degree_n the_o latitude_n northerly_a 44._o degree_n for_o from_o 11._o unto_o 50._o almost_o it_z reacheih_o unto_o america_n streach_v far_o into_o the_o south_n beyond_o the_o tropic_n of_o capricorn_n although_o his_o bound_n or_o further_a part_n southerly_a be_v not_o yet_o find_v or_o know_v to_o the_o ancient_a it_o be_v no_o further_o know_v southward_o than_o 17._o degree_n beyond_o the_o equinoctial_a and_o the_o further_a know_v to_o they_o northward_o exceed_v not_o three_o score_n and_o three_o degree_n which_o as_o ptolemy_n witness_v be_v unto_o the_o island_n thylen_n so_o that_o the_o whole_a latitude_n find_v by_o they_o appear_v to_o be_v 80._o degree_n both_o of_o the_o one_o and_o the_o other_o side_n of_o the_o equinoctial_a and_o on_o earth_n the_o same_o contain_v 40._o thousand_o furlong_n to_o which_o 50._o hundred_o pace_n answer_v but_o german_a mile_n two_o hundred_o thousand_o agree_v also_o the_o island_n thilen_n or_o thulen_n stand_v beyond_o scotland_n and_o the_o isle_n hebrides_n
that_o c._n b._n the_o ark_n of_o the_o distance_n of_o place_n which_o reach_v out_o right_a be_v a_o quarter_n of_o the_o great_a circle_n wherefore_o if_o the_o degree_n be_v multiply_v by_o 15._o and_o the_o minute_n divide_v by_o 4._o the_o distance_n than_o shall_v be_v know_v as_o for_o example_n nubarta_n of_o taprobone_n have_v the_o longitude_n 121._o degree_n and_o 20._o minute_n but_o no_o latitude_n the_o city_n pyse_v of_o the_o tuscans_n in_o italy_n have_v the_o longitude_n 31._o degree_n and_o 20._o minute_n almost_o the_o latitude_n of_o 42._o degree_n and_o 11._o minute_n then_o the_o angle_n of_o the_o difference_n of_o longitude_n be_v right_a for_o the_o difference_n be_v of_o 90._o degree_n or_o a_o whole_a quadrant_a these_o then_o multiply_v by_o 15._o do_v procreate_v or_o bring_v forth_o the_o distance_n to_o be_v of_o 13_o 50._o german_a mile_n essina_fw-la a_o mart-towne_n or_o principal_a â—itty_n of_o aethiope_n under_o the_o government_n of_o egypt_n 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97._o degree_n and_o 20._o minute_n the_o quadrant_a be_v abate_v there_o remain_v 7._o degree_n and_o 20._o minute_n the_o complement_n of_o the_o latitude_n of_o tyrus_n be_v of_o 56._o degree_n and_o 40._o minute_n if_o of_o two_o place_n give_v either_o stand_v without_o the_o equatoure_n towards_o some_o one_o of_o the_o opposite_a quarter_n and_o the_o other_o under_o the_o equatoure_n then_o be_v the_o reason_n of_o the_o stand_v consider_v and_o the_o angle_n of_o the_o difference_n of_o longitude_n for_o the_o one_o differ_v either_o by_o like_a space_n from_o each_o bound_n and_o be_v near_a to_o the_o pole_n the_o other_o to_o the_o equatoure_n the_o same_o appear_v by_o the_o compare_v latitude_n which_o like_a top_n of_o either_o place_n contain_v the_o same_o parallel_n the_o unlike_a be_v distant_a and_o the_o parallel_n by_o a_o space_n separate_v towards_o each_o place_n do_v argue_v peculiar_a and_o proper_a top_n but_o the_o angle_n of_o the_o difference_n of_o 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of_o 28._o degree_n and_o 20._o scruple_n the_o latitude_n have_v 54._o degree_n and_o 48._o scruple_n the_o difference_n of_o longitude_n consist_v of_o 10._o degree_n and_o 42._o minute_n the_o half_a difference_n be_v of_o 5._o degree_n and_o 21._o scruple_n the_o distance_n on_o earth_n between_o dansk_a and_o lubeck_n be_v of_o 92_o german_a mile_n and_o a_o half_a the_o great_a city_n alexandria_n under_o the_o turk_n after_o ptolemy_n have_v the_o longitude_n of_o 122._o degree_n the_o latitude_n of_o the_o same_o be_v of_o 41._o degree_n that_o famous_a toletum_n or_o toledo_n of_o spain_n have_v a_o longitude_n to_o the_o same_o of_o 10._o degree_n the_o latitude_n of_o the_o same_o be_v of_o 41._o degree_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 102._o degree_n the_o half_a difference_n have_v 51._o degree_n the_o complement_n of_o the_o equal_a latitude_n of_o either_o be_v of_o 49._o degree_n the_o whole_a distance_n between_o 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of_o 50._o degree_n and_o 22._o scruple_n the_o complement_n of_o the_o lesser_a latitude_n be_v of_o 85._o degree_n and_o no_o scruple_n another_o example_n of_o two_o place_n distant_a from_o the_o equatour_n of_o which_o the_o one_o be_v distant_a from_o the_o middle_n of_o the_o equatour_n into_o the_o north_n and_o the_o other_o into_o the_o south_n as_o this_o example_n further_o instruct_v the_o one_o be_v the_o will_v of_o thilen_n which_o in_o ptholomiesâ—â—me_n â—â—me_z be_v the_o uttermost_a bond_n of_o the_o earth_n know_v northward_o that_o have_v the_o longitude_n of_o 33._o degree_n the_o latitude_n northerly_a of_o 63._o degree_n the_o other_o call_v the_o will_v of_o s._n thomas_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 of_o 16._o degree_n the_o difference_n of_o longitude_n be_v of_o 5â—_n degree_n â—nd_v 40._o minute_n the_o complement_n of_o the_o latitude_n northerly_a be_v of_o 26._o degree_n a_o three_o example_n of_o the_o difference_n of_o other_o two_o place_n as_o basâ—a_o of_o taprobane_n which_o ptolemy_n affirm_v to_o be_v in_o longitude_n 126._o degree_n and_o in_o latitude_n towards_o the_o south_n 6._o degree_n and_o 30._o scruple_n the_o other_o name_v stocholma_n in_o the_o realm_n of_o suecia_n have_v the_o longitude_n of_o 42._o degree_n and_o 38._o scruple_n and_o the_o latitude_n of_o 60._o degree_n &_o 30._o scruple_n the_o complement_n of_o the_o latitude_n boreal_a be_v 29._o degree_n and_o 30._o minute_n 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 here_o before_o i_o have_v somewhat_o write_v of_o sundry_a habitable_a place_n on_o the_o earth_n who_o sundry_a point_n differ_v between_o the_o one_o and_o the_o other_o either_o in_o the_o only_a longitude_n or_o in_o the_o only_a latitude_n or_o in_o the_o longitude_n and_o latitude_n both_o together_o those_o place_n which_o do_v 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otherwise_o from_o the_o middle_n of_o the_o equatoure_n sever_v and_o distant_a into_o the_o contrary_a quarter_n by_o equal_a or_o unequal_a space_n if_o that_o one_o of_o the_o place_n look_v into_o the_o south_n and_o the_o other_o into_o the_o north_n the_o distance_n of_o these_o be_v always_o account_v in_o the_o common_a meridian_n those_o place_n which_o do_v differ_v both_o in_o the_o longitude_n and_o latitude_n together_o or_o both_o decline_n toward_o one_o pole_n of_o the_o world_n or_o separate_v and_o distant_a from_o the_o midst_n of_o the_o equatoure_n toward_o the_o opposite_a pole_n as_o the_o one_o look_v into_o y_fw-fr â—_o north_n and_o the_o other_o into_o the_o south_n or_o else_o by_o equal_a parallel_n distant_a from_o the_o equatour_n of_o which_o two_o only_a be_v in_o the_o sphere_n if_o they_o be_v reduce_v and_o apply_v unto_o one_o great_a circle_n per_fw-la 3._o secundi_fw-la theodosij_n or_o else_o be_v under_o by_o unequal_a parallel_n and_o by_o a_o 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world_n and_o be_v cut_v by_o the_o overthwart_a cyrcumference_n of_o the_o parallel_n do_v make_v with_o the_o include_v arke_n of_o they_o right_a corner_a tryangle_n through_o the_o four_o right_o lesser_a angle_n but_o the_o angle_n be_v not_o right_a the_o ark_n of_o the_o distance_n of_o the_o place_n do_v divide_v they_o into_o two_o right_a corner_a tryangle_n one_o of_o those_o tryangle_n be_v use_v in_o the_o common_a account_n for_o the_o right_a corner_a because_o in_o place_n not_o far_o distant_a from_o the_o equatoure_n the_o angle_n contain_v between_o the_o mutual_a section_n of_o the_o meridians_fw-la and_o parallel_n do_v not_o so_o much_o vary_v from_o the_o right_a angle_n but_o in_o place_n far_o distant_a from_o the_o equatour_n they_o vary_v very_o much_o now_o the_o rule_n for_o the_o diverse_a stand_n of_o place_n shall_v be_v teach_v in_o a_o easy_a and_o common_a manner_n if_o place_n do_v differ_v in_o the_o only_a longitude_n to_o the_o search_a and_o know_v of_o this_o like_v as_o in_o the_o former_a be_v the_o longitude_n and_o latitude_n of_o place_n give_v require_v by_o which_o they_o be_v find_v see_v in_o the_o latitude_n there_o be_v no_o diversity_n the_o difference_n of_o longitude_n be_v only_o to_o be_v consider_v by_o deduct_v the_o lesser_a longitude_n out_o of_o the_o great_a and_o then_o howemany_a mile_n by_o proportion_n of_o the_o parallel_n under_o which_o the_o place_n stand_v or_o lie_v to_o the_o equatoure_n answer_v to_o one_o degree_n of_o the_o same_o the_o same_o do_v that_o rule_n set_v forth_o in_o the_o form_n of_o a_o table_n here_o follow_v declare_v be_v draw_v and_o make_v unto_o this_o use_n by_o the_o learned_a in_o which_o the_o mile_n that_o answer_v to_o one_o degree_n of_o each_o parallel_n be_v there_o find_v and_o note_v unto_o one_o degree_n of_o the_o distance_n of_o the_o parallel_n from_o the_o equatour_n if_o to_o the_o whole_a
longitude_n multiply_v by_o 9_o mile_n do_v produce_v 18._o mile_n which_o multiply_v again_o in_o itself_o do_v produce_v 324._o that_o be_v the_o first_o quadrate_n the_o difference_n of_o the_o latitude_n be_v one_o degree_n do_v make_v &_o contain_v 15._o mile_n which_o also_o wrought_v again_o in_o themselves_o do_v offer_v the_o late_a quadrate_n which_o contain_v 225._o now_o of_o these_o two_o quadrate_n conjoin_v the_o root_n be_v of_o 23._o which_o number_n be_v almost_o the_o distance_n of_o viteberge_n in_o germane_a mile_n from_o brunsweeke_n another_o the_o longitude_n of_o dansk_a have_v 39_o degree_n the_o latitude_n of_o 62._o degree_n the_o longitude_n of_o noriberge_n have_v 28._o degree_n the_o latitude_n be_v of_o 49._o degree_n the_o difference_n of_o the_o longitude_n be_v of_o 11._o degree_n the_o difference_n of_o the_o latitude_n be_v of_o 5._o degree_n the_o middle_a latitude_n be_v of_o 51._o degree_n the_o mile_n answer_v to_o one_o degree_n in_o latitude_n be_v 9_o the_o difference_n of_o the_o longitude_n that_o be_v multiply_v with_o the_o 9_o do_v yield_v 99_o mile_n which_o again_o multiply_v in_o themselves_o do_v produce_v the_o first_o quadrate_n which_o contain_v 9801._o the_o difference_n of_o the_o latitude_n be_v 5._o degree_n multiply_v by_o the_o 15._o do_v then_o produce_v 75._o mile_n which_o wrought_v again_o in_o themselves_o do_v offer_v the_o late_a quadrate_n which_o contain_v 5625._o the_o increase_n now_o of_o the_o two_o quadrate_n comprehend_v 15426._o the_o root_n contain_v 124._o and_o so_o many_o be_v the_o mile_n almost_o between_o dansk_a and_o noriberge_n another_o the_o longitude_n of_o jerusalem_n have_v 66._o degree_n the_o latitude_n be_v of_o 31._o degree_n the_o longitude_n of_o nazareth_n have_v 67._o degree_n the_o latitude_n be_v of_o 32._o degree_n the_o difference_n of_o the_o longitude_n be_v 1._o degree_n the_o difference_n of_o the_o latitude_n be_v the_o like_o one_o degree_n the_o mile_n assign_v to_o 1._o degree_n in_o the_o parallel_n of_o the_o lesser_a latitude_n be_v 12._o the_o first_o quadrate_n do_v contain_v 144._o the_o mile_n answer_v to_o one_o degree_n of_o the_o difference_n of_o the_o latitude_n be_v 15._o the_o late_a quadrate_n comprehend_v 225._o the_o increase_n of_o the_o quadrate_n contain_v 369._o the_o root_n contain_v 16._o mile_n now_o the_o distance_n in_o a_o manner_n be_v so_o much_o between_o jerusalem_n and_o nazareth_n and_o thus_o by_o other_o example_n may_v young_a practisioner_n excercise_n without_o labour_n tediousness_n and_o pain_n to_o find_v the_o space_n of_o place_n give_v by_o the_o degree_n of_o the_o longitude_n and_o latitude_n a_o demonstration_n of_o the_o three_o rule_n the_o demonstration_n of_o this_o work_n or_o instruction_n be_v take_v out_o of_o the_o last_o proposition_n of_o the_o first_o book_n of_o euclid_n where_o he_o do_v teach_v and_o demonstrate_v that_o in_o the_o tryangle_v right_a corner_a the_o 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