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the_o poor_a bishop_n unfortunate_a only_o in_o be_v learn_v in_o such_o a_o time_n of_o ignorance_n be_v condemn_v of_o heresy_n but_o god_n have_v blessed_v this_o latter_a age_n of_o the_o world_n with_o more_o understanding_n whereby_o we_o clear_o see_v those_o thing_n which_o either_o be_v unknown_a or_o but_o blind_o guess_v at_o by_o the_o ancient_n 18._o the_o second_o part_n of_o the_o terrestrial_a globe_n be_v the_o water_n which_o be_v common_o divide_v into_o these_o part_n or_o distinguish_v by_o these_o name_n oceanus_n mare_n fretum_n sinus_n lacus_n and_o flumen_n 19_o and_o first_o oceanus_n or_o the_o ocean_n be_v that_o general_a collection_n of_o all_o water_n which_o encompass_v the_o earth_n on_o every_o side_n 20._o mare_fw-la the_o sea_n be_v a_o part_n of_o the_o main_a ocean_n to_o which_o we_o can_v come_v but_o through_o some_o fretum_n or_o strait_n as_o mare_n
two_o whole_a month_n three_o week_n one_o day_n and_o about_o seven_o hour_n as_o on_o the_o other_o side_n no_o day_n for_o the_o like_a quantity_n of_o time_n when_o the_o sun_n be_v most_o remote_a from_o they_o in_o the_o other_o tropic_a 28._o the_o whole_a body_n of_o the_o estate_n consist_v chief_o of_o three_o member_n viz._n 1._o the_o dukedom_n of_o holstein_n contain_v waggerland_n dilmarsh_n starmaria_n and_o holstein_n especial_o so_o call_v 2._o the_o kingdom_n of_o denmark_n comprehend_v both_o juitlands_n part_n of_o scandia_n and_o the_o hemode_n or_o baltic_a island_n 3._o the_o kingdom_n of_o norway_n consist_v of_o norway_n itself_o and_o the_o island_n of_o the_o northern_a ocean_n 29._o swethland_n be_v bound_v on_o the_o east_n with_o muscovy_n on_o the_o west_n with_o the_o doferine_n hill_n which_o divide_v it_o from_o norway_n on_o the_o north_n with_o the_o great_a freeze_a ocean_n speak_v of_o before_o on_o the_o south_n with_o denmark_n liefland_n and_o the_o baltic_a sea_n 30._o it_o be_v situate_a under_o the_o same_o parallel_n and_o degree_n with_o norway_n that_o be_v from_o the_o first_o parallel_n of_o the_o 12_o clime_n where_o the_o pole_n be_v elevate_v 58_o degree_n 26_o minute_n as_o far_o as_o to_o the_o 71_o degree_n of_o latitude_n by_o which_o account_n the_o long_a day_n in_o the_o southern_a point_n be_v but_o 18_o hour_n whereas_o on_o the_o far_a north_n of_o all_o the_o country_n they_o have_v no_o night_n for_o almost_o three_o whole_a month_n together_o 31._o the_o whole_a kingdom_n be_v divide_v into_o two_o part_n the_o one_o lie_v on_o the_o east_n the_o other_o on_o the_o west_n of_o the_o bay_n or_o gulf_n of_o bodener_n be_v a_o large_a and_o spacious_a branch_n of_o the_o baltic_a sea_n extend_v from_o the_o most_o southerly_a point_n of_o gothland_n as_o far_o as_o to_o lapland_n on_o the_o north._n according_a to_o which_o division_n we_o have_v the_o province_n of_o 1._o gothland_n 2._o sweden_n lie_v on_o the_o west_n side_n of_o the_o gulf_n 3._o lapland_n shut_v it_o up_o upon_o the_o north._n 4._o bodia_n or_o bodden_n 5._o finland_n on_o the_o east_n side_n thereof_o 6._o the_o sweedish_a island_n where_o it_o mingle_v with_o the_o rest_n of_o the_o baltic_a sea_n 32._o russia_n be_v bound_v on_o the_o east_n by_o tartary_n on_o the_o west_n with_o livonia_n and_o finland_n from_o which_o it_o be_v divide_v by_o great_a mountain_n and_o the_o river_n poln_n on_o the_o north_n by_o the_o freeze_a ocean_n and_o some_o part_n of_o lapland_n and_o on_o the_o south_n by_o lituania_n a_o province_n of_o the_o kingdom_n of_o poland_n and_o the_o crim_n tartar_n inhabit_v on_o the_o bank_n of_o palus_n maeotis_n and_o the_o euxine_a sea_n it_o stand_v partly_o in_o europe_n and_o partly_o in_o asia_n the_o river_n tanais_n or_o don_n run_v through_o it_o the_o common_a boundary_a of_o those_o great_a and_o note_a part_n of_o the_o world_n 33._o it_o be_v situate_a north_n within_o the_o arctic_a circle_n so_o far_o that_o the_o long_a day_n in_o summer_n will_v be_v full_a six_o month_n whereas_o the_o long_a day_n in_o the_o southern_a part_n be_v but_o 16_o hour_n and_o a_o half_a 34._o it_o be_v divide_v into_o the_o province_n of_o 1._o moscovy_n special_o so_o call_v 2._o snolâ—usio_n 3._o masaisky_n 4._o plesco_n 5._o novagrod_v the_o great_a 6._o corelia_n 7._o blarmia_n 8._o petzora_n 9_o condora_n 10_o obdora_n 11._o jugria_n 12._o severia_n 13._o permia_n 14._o rozan_n 15._o wiathka_fw-mi 16._o casau_n 17._o astracan_a 18._o novogordia_fw-la inferior_a 10._o the_o morduit_n or_o mordua_n 20._o worotime_o 21._o tuba_fw-la 22._o wolodomir_n 23._o duina_fw-la 24._o the_o russian_a island_n 35._o poland_n be_v bound_v on_o the_o east_n with_o russia_n and_o the_o crim-tartar_n from_o who_o it_o be_v part_v by_o the_o river_n borysthenes_n on_o the_o west_n with_o germany_n on_o the_o north_n with_o the_o baltic_a sea_n and_o some_o part_n of_o russia_n on_o the_o south_n with_o the_o carpathian_n mountain_n which_o divide_v it_o from_o hungary_n transilvania_n and_o moldavia_n it_o be_v of_o figure_n round_o in_o compass_n 2600_o mile_n situate_a under_o the_o 8_o and_o 12_o climate_n so_o that_o the_o long_a day_n in_o the_o southern_a part_n be_v but_o 16_o hour_n and_o about_o 18_o hour_n in_o the_o part_n most_o north._n 36._o the_o several_a province_n of_o which_o this_o kingdom_n do_v consist_v be_v 1._o livonia_n 2._o samogitia_n 3._o lituania_fw-mi 4._o volkinia_n 5._o podolia_n 6._o russia_n nigra_fw-la 7._o massovia_n 8._o podlassia_n 9_o prussia_n 10._o pomerellia_n 11._o poland_n special_o so_o call_v 37._o hungary_n be_v bound_v on_o the_o east_n with_o transilvania_n and_o walachia_n on_o the_o west_n with_o sterria_n austria_n and_o moravia_n on_o the_o north_n with_o the_o carpathian_n mountain_n which_o divide_v it_o from_o poland_n and_o on_o the_o south_n with_o sclavonia_n and_o some_o part_n of_o dacia_n it_o extend_v in_o length_n from_o presburg_n along_o the_o danow_n to_o the_o border_n of_o transilvania_n for_o the_o space_n of_o 300_o english_a mile_n and_o 190_o of_o the_o same_o mile_n in_o breadth_n 38._o it_o lie_v in_o the_o northern_a temperate_a zone_n betwixt_o the_o middle_a parallel_n of_o the_o 7_o and_o 9_o climate_n so_o that_o the_o long_a summer_n day_n in_o the_o southern_a part_n be_v but_o 15_o hour_n and_o a_o half_a and_o not_o above_o 16_o hour_n in_o the_o part_n most_o north._n 40._o this_o country_n be_v common_o divide_v into_o the_o upper_a hungary_n and_o the_o low_a the_o upper_a lie_v on_o the_o north_n of_o the_o river_n danow_n the_o low_a lie_v on_o the_o south_n of_o that_o river_n comprehend_v all_o pannonia_n inferior_a and_o part_n of_o superior_a and_o be_v now_o possess_v by_o the_o king_n of_o hungary_n and_o the_o great_a turk_n who_o be_v lord_n of_o the_o most_o part_n by_o arm_n and_o conquest_n 04._o sclavonia_n be_v bound_v on_o the_o east_n with_o servia_n macedonia_n and_o epirus_n from_o which_o it_o be_v part_v by_o the_o river_n drinus_fw-la and_o a_o line_n draw_v from_o thence_o unto_o the_o adriatic_a on_o the_o west_n with_o carniola_n in_o germany_n and_o istria_n in_o the_o seignory_n of_o venice_n from_o which_o last_o it_o be_v divide_v by_o the_o river_n arsia_n on_o the_o north_n with_o hungary_n on_o the_o south_n with_o the_o adriatic_a sea_n 41._o it_o be_v situate_a in_o the_o northern_a temperate_a zone_n between_o the_o middle_a parallel_n of_o the_o six_o and_o seven_o climate_n so_o that_o the_o long_a day_n in_o summer_n be_v about_o 15_o hour_n and_o a_o half_a 42._o this_o country_n as_o it_o come_v at_o last_o to_o be_v divide_v between_o the_o king_n of_o hungary_n and_o the_o state_n of_o venice_n be_v distinguish_v into_o 1._o windischland_n 2._o croatia_n 3._o bosnia_n 4._o dalmatia_n 5._o liburnia_n or_o cantado_n di_fw-fr zara_n and_o 6._o the_o sclavonian_a island_n 43._o dacia_n be_v bound_v on_o the_o east_n with_o the_o euxine_a sea_n and_o some_o part_n of_o thrace_n on_o the_o west_n with_o hungary_n and_o sclavonia_n on_o the_o north_n with_o podolia_n and_o some_o other_o member_n of_o the_o realm_n of_o poland_n on_o the_o south_n with_o the_o rest_n of_o thrace_n and_o macedonia_n 44._o it_o lie_v on_o both_o side_n of_o the_o danow_n front_v all_o along_o the_o upper_a and_o the_o low_a hungary_n and_o some_o part_n of_o sclavonia_n extend_v from_o the_o 7_o climate_n to_o the_o 10_o so_o that_o the_o long_a summer_n day_n in_o the_o most_o northern_a part_n thereof_o be_v near_o 17_o hour_n and_o in_o the_o most_o southern_a 15_o hour_n 3_o quarter_n 45._o the_o several_a province_n comprehend_v under_o the_o name_n of_o dacia_n be_v 1._o transilvania_n 2._o moldavia_n 3._o walachia_n 7._o rascia_fw-la 5._o servia_n 6._o bulgaria_n the_o first_o four_o in_o old_a dacia_n on_o the_o north_n side_n of_o the_o danow_n the_o two_o last_o in_o new_a dacia_n on_o the_o south_n thereof_o 45._o greece_n in_o the_o present_a latitude_n and_o extent_n thereof_o be_v bound_v on_o the_o east_n with_o the_o propontick_a hellespont_n and_o aegean_a sea_n on_o the_o west_n with_o the_o adriatic_a on_o the_o north_n with_o mount_n haemus_n which_o part_v it_o from_o bulgaria_n servia_n and_o some_o part_n of_o illyricum_n and_o on_o the_o south_n with_o the_o sea_n ionian_a so_o that_o it_o be_v in_o a_o manner_n a_o peninsula_n or_o demi-island_n environ_v on_o three_o side_n by_o the_o sea_n on_o the_o four_o only_o unite_v to_o the_o rest_n of_o europe_n 46._o it_o be_v situate_a in_o the_o northern_a temperate_a zone_n under_o the_o five_o and_o six_o climate_n the_o long_a day_n be_v 15_o hour_n 47._o in_o this_o country_n former_o so_o famous_a for_o learning_n and_o
must_v look_v upon_o it_o as_o it_o stand_v divide_v into_o arabia_n deserta_fw-la 2._o arabia_n petraea_n 3._o arabia_n felix_n and_o 4._o the_o arabic_a island_n chaldea_n chaldea_n be_v bound_v on_o the_o east_n with_o susiana_n a_o province_n of_o persia_n on_o the_o west_n with_o arabia_n deserta_fw-la on_o the_o north_n with_o mesopotamia_n and_o on_o the_o south_n with_o the_o persian_a bay_n and_o the_o rest_n of_o deserta_fw-la assyria_n assyria_n be_v bound_v on_o the_o east_n with_o media_n from_o which_o it_o be_v part_v by_o the_o mountain_n call_v coathras_n on_o the_o west_n with_o mesopotamia_n from_o which_o it_o be_v divide_v by_o the_o river_n tigris_n on_o the_o south_n with_o susiana_n and_o on_o the_o north_n with_o some_o part_n of_o turcomania_n it_o be_v ancient_o divide_v into_o six_o part_n 1._o arraphachitis_n 2._o adiabene_n 3._o calacine_n 4._o aobelite_n 5._o apolloniates_n mesopotamia_n mesopotamia_n be_v bound_v on_o the_o east_n with_o the_o river_n tigris_n by_o which_o it_o be_v part_v from_o assyria_n on_o the_o west_n with_o euphrates_n which_o divide_v it_o from_o comagena_n a_o province_n of_o syria_n on_o the_o north_n with_o mount_n taurus_n by_o which_o it_o be_v separate_v from_o armenia_n major_a and_o on_o the_o south_n with_o chaldea_n and_o arabia_n deserta_fw-la from_o which_o last_o it_o be_v part_v by_o the_o bend_n of_o euphrates_n also_o it_o be_v ancient_o divide_v into_o 1._o anthemasia_n 2._o chalcitis_n 3._o caulanitis_n 4._o acchabene_n 5._o ancorabitis_fw-la and_o 6._o ingine_n turcomania_n turcomania_n be_v bound_v on_o the_o east_n with_o media_n and_o the_o caspian_a sea_n on_o the_o west_n with_o the_o euxine_a sea_n cappadocia_n and_o armenia_n minor_a on_o the_o north_n with_o tartary_n and_o on_o the_o south_n with_o mesopotamia_n and_o assyria_n a_o country_n which_o consist_v of_o four_o province_n 1._o armenia_n major_a or_o turcomania_n proper_o and_o special_o so_o call_v 2._o colchis_n 3._o iberia_n 4._o albania_n media_fw-la media_n be_v bound_v on_o the_o east_n with_o parthia_n and_o some_o part_n of_o otyrcania_n province_n of_o the_o persian_a empire_n on_o the_o west_n with_o armenia_n major_a and_o some_o part_n of_o assyria_n on_o the_o north_n with_o the_o caspian_a sea_n and_o those_o part_n of_o armenia_n major_n which_o now_o pass_v in_o the_o account_n of_o iberia_n georgia_n and_o on_o the_o south_n with_o persia._n it_o be_v now_o divide_v into_o two_o province_n 1._o atropatia_n 2._o media_fw-la major_n persia._n persia_n be_v bound_v on_o the_o east_n with_o india_n on_o the_o west_n with_o media_n assyria_n and_o chaldea_n on_o the_o north_n with_o tartary_n on_o the_o south_n with_o the_o main_a ocean_n it_o be_v divide_v into_o the_o particular_a province_n of_o 1._o susiana_n 2._o persis_n 3._o ormur_n 4._o carmania_n 5._o gedrosia_n 6._o drangiana_n 7._o arachosia_n 8._o paropamisus_n 9_o aria_n 10._o parthia_n 11._o hyrcania_n 12._o margiana_n and_o 13._o bactria_n tartary_n tartary_n be_v bound_v on_o the_o east_n with_o china_n the_o oriental_a ocean_n and_o the_o strait_o of_o anian_a by_o which_o it_o be_v part_v from_o america_n on_o the_o west_n with_o russia_n and_o podolia_n a_o province_n of_o the_o realm_n of_o poland_n on_o the_o north_n with_o the_o main_a scythick_n or_o freeze_a ocean_n and_o on_o the_o south_n with_o part_n of_o china_n from_o which_o it_o be_v separate_v by_o a_o mighty_a wall_n some_o part_n of_o india_n the_o river_n oxus_n part_v it_o from_o bactria_n and_o margiana_n two_o persian_a province_n the_o caspian_a sea_n which_o separate_v it_o from_o media_n and_o hyrcania_n the_o caucasian_n mountain_n interpose_v between_o it_o and_o turcomania_n and_o the_o euxine_a sea_n which_o divide_v it_o from_o anatolia_n and_o thrace_n it_o reach_v from_o the_o 50_o degree_n of_o longitude_n to_o the_o 195_o which_o be_v 145_o degree_n from_o west_n to_o east_n and_o from_o the_o 40_o degree_n of_o northern_a latitude_n unto_o the_o 80_o which_o be_v within_o 10_o degree_n of_o the_o pole_n itself_o by_o which_o account_n it_o lie_v from_o the_o begin_n of_o the_o six_o clime_n where_o the_o long_a day_n in_o summer_n be_v 15_o hour_n till_o they_o cease_v measure_v the_o climate_n the_o long_a day_n in_o the_o most_o northern_a part_n hereof_o be_v full_a six_o month_n and_o in_o the_o winter_n half_a of_o the_o year_n the_o night_n as_o long_o it_o be_v now_o divide_v into_o these_o five_o part_n 1._o tartary_n precopensis_n 2._o asiatica_fw-la 3._o antiqua_fw-la 4._o zagathay_n 5._o cathay_n china_n china_n be_v bound_v on_o the_o north_n with_o altay_n and_o the_o eastern_a tartar_n from_o which_o it_o be_v separate_v by_o a_o continue_a chain_n of_o hill_n part_n of_o those_o of_o ararat_n and_o where_o that_o chain_n be_v break_v off_o or_o interrupt_v with_o a_o great_a wall_n extend_v 400_o league_n in_o length_n on_o the_o south_n partly_o with_o cauchin_n china_n a_o province_n of_o india_n partly_o with_o the_o ocean_n on_o the_o east_n with_o the_o oriental_a ocean_n and_o on_o the_o west_n with_o part_n of_o india_n and_o cathay_n it_o reach_v from_o the_o 130_o to_o the_o 160_o degree_n of_o longitude_n and_o from_o the_o tropic_a of_o cancer_n to_o the_o 53_o degree_n of_o latitude_n so_o that_o it_o lie_v under_o all_o the_o clime_n from_o the_o three_o to_o the_o nine_o inclusive_o the_o long_a summer_n day_n in_o the_o southern_a part_n be_v 13_o hour_n and_o 40_o minute_n increase_v in_o the_o most_o northern_a part_n to_o 16_o hour_n and_o 3_o quarter_n it_o contain_v no_o few_o than_o 15_o province_n 1._o canton_n 2._o foquien_v 3._o olam_fw-la 4._o sisnam_fw-la 5._o tolenchia_n 6._o causay_n 7._o minchian_n 8._o ochian_n 9_o honan_n 10._o pagnia_n 11._o taitan_n 12._o quinchen_n 13._o chagnian_n 14._o susnan_n 15._o cunisay_n beside_o the_o province_n of_o suehuen_n the_o island_n of_o chorea_fw-la and_o the_o island_n of_o cheaxan_n india_n india_n be_v bound_v on_o the_o east_n with_o the_o oriental_a ocean_n and_o some_o part_n of_o china_n on_o the_o west_n with_o the_o persian_a empire_n on_o the_o north_n with_o some_o branch_n of_o mount_n taurus_n which_o divide_v it_o from_o tartary_n on_o the_o south_n with_o the_o indian_a ocean_n extend_v from_o 106_o to_o 159_o degree_n of_o longitude_n and_o from_o the_o aequator_fw-la to_o the_o 44th_o degree_n of_o northern_a latitude_n by_o which_o account_n it_o lie_v from_o the_o begin_n of_o the_o first_o to_o the_o end_n of_o the_o six_o clime_n the_o long_a summer_n day_n in_o the_o southern_a part_n be_v 12_o hour_n only_o and_o in_o the_o part_n most_o north_n 15_o hour_n and_o a_o half_a the_o whole_a country_n be_v divide_v into_o two_o main_a part_n india_n intra_fw-la gangem_fw-la and_o india_n extra_fw-la gangem_fw-la the_o oriental_a island_n the_o oriental_a island_n be_v 1._o japan_n 2._o the_o philippine_n and_o isles_n adjoin_v 3._o the_o island_n of_o bantam_n 4._o the_o moluccoe_n 5._o those_o call_v sinda_n or_o the_o celebe_n 6._o java_n 7._o borneo_n 8._o sumatra_n 9_o ceilan_n and_o 10._o other_o of_o less_o note_n chap._n v._n of_o africa_n africk_n be_v bound_v on_o the_o east_n by_o the_o red_a sea_n and_o bay_n of_o arabia_n by_o which_o it_o be_v part_v from_o asia_n on_o the_o west_n by_o the_o main_a atlantic_a ocean_n interpose_v between_o it_o and_o america_n on_o the_o north_n by_o the_o mediterranean_a sea_n which_o divide_v it_o from_o europe_n and_o anatolia_n and_o on_o the_o south_n with_o the_o aethiopic_a ocean_n separate_v it_o from_o terra_fw-la australis_fw-la incognita_fw-la or_o the_o southern_a continent_n part_v from_o all_o the_o rest_n of_o the_o world_n except_o asia_n only_o to_o which_o it_o be_v join_v by_o a_o narrow_a isthmus_n not_o above_o 60_o mile_n in_o length_n it_o be_v situate_a for_o the_o most_o part_n under_o the_o torrid_a zone_n the_o aequator_fw-la cross_v it_o almost_o in_o the_o midst_n it_o be_v now_o common_o divide_v into_o these_o seven_o part_n 1._o egypt_n 2._o barbary_n or_o the_o roman_a africa_n 3._o numidia_n 4._o lybia_n 5._o terra_fw-la nigritarum_fw-la 6._o aethiopia_n superior_a and_o 7._o aethiopia_n rinferior_fw-la egypt_n egypt_n be_v bound_v on_o the_o east_n with_o idumea_n and_o the_o bay_n of_o arabia_n on_o the_o west_n with_o barbary_n numidia_n and_o part_n of_o lybia_n on_o the_o north_n with_o the_o mediterranean_a sea_n on_o the_o south_n with_o aethiopia_n superior_a or_o the_o abyssyn_n emperor_n it_o be_v situate_a under_o the_o second_o and_o five_o climate_n so_o that_o the_o long_a day_n in_o summer_n be_v but_o thirteen_o hour_n and_o a_o half_a barbary_n barbary_n be_v bound_v on_o the_o east_n with_o cyrenaica_n on_o the_o west_n with_o the_o atlantic_a ocean_n on_o the_o north_n with_o the_o mediterranean_a sea_n the_o strait_o of_o
from_o one_o another_o a_o full_a part_n of_o time_n or_o a_o hour_n for_o see_v that_o the_o sun_n be_v carry_v 15_o degree_n of_o the_o equinoctial_a every_o hour_n the_o meridian_n set_v at_o that_o distance_n must_v make_v a_o hour_n difference_n in_o the_o rise_n or_o set_v of_o the_o sun_n in_o those_o place_n which_o differ_v 15_o degree_n in_o longitude_n and_o to_o this_o purpose_n also_o upon_o the_o north_n end_n of_o the_o globe_n without_o the_o brass_n meridian_n there_o be_v a_o small_a circle_n of_o brass_n set_v and_o divide_v into_o two_o equal_a part_n and_o each_o of_o they_o into_o twelve_o that_o be_v twenty_o four_o all_o to_o show_v the_o hour_n of_o the_o day_n and_o night_n in_o any_o place_n where_o the_o day_n and_o night_n exceed_v not_o 24_o hour_n for_o which_o purpose_n it_o have_v a_o little_a brass_n pin_n turn_v about_o upon_o the_o pole_n and_o point_v to_o the_o several_a hour_n which_o be_v therefore_o the_o index_n horarius_fw-la or_o hour_n index_n 33._o have_v describe_v the_o great_a circle_n frame_v without_o and_o draw_v upon_o the_o globe_n we_o will_v now_o describe_v the_o lesser_a circle_n also_o and_o these_o lesser_a circle_n be_v call_v parallel_n that_o be_v such_o as_o be_v in_o all_o place_n equal_o distant_a from_o the_o equator_fw-la and_o these_o circle_n how_o little_a soever_o be_v suppose_v to_o be_v divide_v into_o 360_o degree_n but_o these_o degree_n be_v not_o so_o large_a as_o in_o the_o great_a circle_n but_o do_v proportionable_o decrease_v according_a to_o the_o radius_fw-la by_o which_o they_o be_v draw_v 34._o these_o lesser_a circle_n be_v either_o the_o tropic_n or_o the_o polar_a circle_n 35._o the_o tropic_n be_v two_o small_a circle_n draw_v upon_o the_o globe_n one_o beyond_o the_o equator_fw-la towards_o the_o north_n pole_n and_o the_o other_o towards_o the_o south_n show_v the_o way_n which_o the_o sun_n make_v in_o his_o diurnal_a motion_n when_o he_o be_v at_o his_o great_a distance_n from_o the_o equator_fw-la either_o north_n or_o south_n these_o circle_n be_v call_v tropic_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d that_o be_v from_o the_o sun_n return_v for_o the_o sun_n come_v to_o these_o circle_n he_o be_v at_o his_o great_a distance_n from_o the_o equator_fw-la and_o in_o the_o same_o moment_n of_o time_n slope_v as_o it_o be_v his_o course_n he_o return_v near_a and_o near_o to_o the_o equator_fw-la again_o 36._o these_o tropical_a circle_n do_v show_v the_o point_n of_o heaven_n in_o which_o the_o sun_n do_v make_v either_o the_o long_a day_n or_o the_o short_a day_n in_o the_o year_n according_a as_o he_o be_v in_o the_o northern_a or_o the_o southern_a tropic_n and_o be_v draw_v at_o 23_o degree_n and_o a_o half_a distant_a from_o the_o equator_fw-la 37._o the_o polar_a circle_n be_v two_o lesser_a circle_n draw_v upon_o the_o globe_n at_o the_o radius_fw-la of_o 23_o degree_n and_o a_o half_a distant_a from_o the_o pole_n of_o the_o world_n show_v thereby_o the_o pole_n of_o the_o zodiac_n which_o be_v so_o many_o degree_n distant_a from_o the_o equator_fw-la on_o both_o side_n thereof_o 38._o these_o polar_a circle_n be_v 66_o degree_n and_o a_o half_a distant_a from_o the_o equator_fw-la and_o 43_o degree_n distant_a from_o his_o near_a tropic_n they_o be_v call_v the_o arctic_a and_o antarctick_a circle_n 39_o the_o arctic_a circle_n be_v that_o which_o be_v describe_v about_o the_o arctic_a pole_n and_o pass_v almost_o through_o the_o middle_n of_o the_o head_n of_o the_o great_a bear_n it_o be_v call_v the_o arctic_a circle_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d from_o the_o two_o conspicuous_a star_n towards_o the_o north_n call_v the_o great_a and_o the_o lesser_a bear_n 40._o the_o antarctick_a circle_n be_v that_o which_o be_v describe_v about_o the_o antarctick_a or_o south_n pole_n it_o be_v so_o call_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d that_o be_v from_o be_v opposite_a to_o the_o great_a and_o lesser_a bear_n have_v thus_o describe_v the_o globe_n or_o astronomical_a instrument_n by_o which_o the_o frame_n of_o the_o world_n be_v represent_v to_o our_o view_n i_o will_v proceed_v to_o show_v the_o use_n for_o which_o it_o be_v intend_v chap._n ii_o of_o the_o distinction_n and_o affection_n of_o spherical_a line_n or_o arch_n the_o use_n of_o the_o globe_n as_o to_o practise_v be_v either_o such_o as_o concern_v the_o heaven_n or_o the_o earth_n in_o either_o of_o which_o if_o we_o shall_v descend_v unto_o particular_n the_o use_n will_v be_v more_o in_o number_n than_o a_o short_a treatise_n will_v contain_v see_v therefore_o that_o all_o problem_n which_o concern_v the_o globe_n may_v be_v best_a and_o most_o accurate_o resolve_v by_o the_o doctrine_n of_o spherical_a triangle_n we_o will_v contract_v these_o use_n of_o the_o globe_n which_o otherwise_o may_v prove_v infinite_a to_o such_o problem_n as_o come_v within_o the_o compass_n of_o the_o 28_o case_n of_o right_n and_o oblique_a angle_a spherical_a triangle_n 2._o and_o that_o the_o nature_n of_o spherical_a triangle_n may_v be_v the_o better_o understand_v and_o by_o which_o of_o the_o 28_o case_n the_o particular_a problem_n may_v be_v best_a resolve_v i_o will_v set_v down_o some_o general_n definition_n and_o affection_n which_o do_v belong_v to_o such_o line_n or_o arch_n of_o which_o the_o triangle_n must_v be_v frame_v with_o the_o part_n and_o affection_n of_o those_o triangle_n and_o how_o the_o thing_n give_v and_o require_v in_o they_o may_v be_v represent_v and_o resolve_v upon_o and_o by_o the_o globe_n as_o also_o how_o they_o may_v be_v represent_v and_o resolve_v by_o the_o projection_n of_o the_o sphere_n and_o by_o the_o canon_n of_o triangle_n 3._o a_o spherical_a triangle_n than_o be_v a_o figure_n consist_v of_o three_o arch_n of_o the_o great_a circle_n upon_o the_o superficies_n of_o a_o sphere_n or_o globe_n every_o one_o being_n less_o than_o a_o semicircle_n 4._o a_o great_a circle_n be_v that_o which_o divide_v the_o sphere_n or_o globe_n into_o two_o equal_a part_n and_o thus_o the_o horizon_n equator_fw-la zodiac_n and_o meridian_n before_n describe_v be_v all_o of_o they_o great_a circle_n and_o of_o these_o circle_n or_o any_o other_o there_o must_v be_v three_o arch_n to_o make_v a_o triangle_n and_o every_o one_o of_o these_o arch_n several_o must_v be_v less_o than_o a_o semicircle_n to_o make_v this_o plain_a in_o fig._n 1._o the_o straight_a line_n har_n do_v represent_v the_o horizon_n pr._n the_o height_n of_o the_o pole_n above_o the_o horizon_n pm_v a_o meridian_n and_o these_o three_o arch_n by_o their_o intersect_v one_o another_o do_v visible_o constitute_v four_o spherical_a triangle_n 1._o pmr_n 2._o pmh_o 3._o shm._n 4._o smr_n and_o every_o arch_n be_v less_o than_o a_o semicircle_n as_o in_o the_o triangle_n pmr_n the_o arch_n pr._n be_v less_o than_o the_o semicircle_n pr_n the_o arch_a mr_n be_v less_o than_o the_o semicircle_n amr_n and_o the_o arch_n pm_n be_v less_o than_o the_o semicircle_n pm_v the_o like_a may_v be_v show_v in_o the_o other_o triangle_n 5._o spherical_a or_o circular_a line_n be_v parallel_n or_o angular_a 6._o parallel_v arch_n or_o circle_n be_v such_o as_o be_v draw_v upon_o the_o same_o centre_n within_o without_z or_o equal_a to_o another_o arch_n or_o circle_n thus_o in_o fig._n 1._o the_o arch_n ♋_o m_o ♋_o and_o ♑_o o_o ♑_o are_z though_o lesser_a circle_n parallel_n to_o the_o equinoctial_a ae_n a_o q_o and_o do_v in_o that_o scheme_n represent_v the_o tropic_n of_o cancer_n and_o capricorn_n the_o manner_n of_o describe_v they_o or_o any_o other_o parallel_n circle_n be_v thus_o set_v off_o their_o distance_n from_o the_o great_a circle_n to_o which_o you_o be_v to_o draw_v a_o parallel_n with_o your_o compass_n by_o help_n of_o your_o line_n of_o chord_n which_o in_o this_o example_n be_v 23_o degree_n and_o a_o half_a from_o ae_n to_o ♋_o then_o draw_v the_o line_n a_o ♋_o and_o upon_o the_o point_n ♋_o erect_v a_o perpendicular_a where_o that_o perpendicular_a shall_v cut_v the_o axis_n pas_n extend_v be_v the_o centre_n of_o that_o parallel_n 7._o a_o spherical_a angle_n be_v that_o which_o be_v contain_v by_o two_o arch_n of_o the_o great_a circle_n upon_o the_o superficies_n of_o the_o globe_n intersect_v one_o another_o angle_n make_v by_o the_o intersection_n of_o two_o little_a circle_n or_o of_o a_o little_a circle_n with_o a_o great_a we_o take_v no_o notice_n of_o in_o the_o doctrine_n of_o spherical_a triangle_n 8._o a_o spherical_a angle_n be_v either_o right_a or_o oblique_a 9_o a_o spherical_a right_a angle_n be_v that_o which_o be_v contain_v by_o two_o arch_n of_o the_o great_a circle_n in_o the_o superficies_n of_o the_o sphere_n cut_v one_o another_o at_o right_a angle_n that_o be_v
the_o one_o be_v right_a or_o perpendicular_a to_o the_o other_o thus_o the_o brass_n meridian_n cut_v the_o horizon_n at_o right_a angle_n and_o thus_o the_o meridian_n draw_v upon_o the_o globe_n as_o well_o as_o the_o brass_n meridian_n do_v all_o of_o they_o cut_v the_o equator_fw-la at_o right_a angle_n 10._o a_o oblique_a spherical_a angle_n be_v that_o which_o be_v contain_v by_o two_o arch_n of_o the_o great_a circle_n in_o the_o superficies_n of_o the_o sphere_n not_o be_v right_a or_o perpendicular_a to_o one_o another_o 11._o a_o oblique_a spherical_a angle_n be_v obtuse_a or_o acute_a 12._o a_o obtuse_a spherical_a angle_n be_v that_o which_o be_v great_a than_o a_o right_a angle_n a_o acute_a be_v that_o which_o be_v less_o than_o a_o right_a angle_n 13._o if_o two_o of_o the_o great_a circle_n of_o the_o sphere_n shall_v pass_v through_o one_o another_o pole_n those_o two_o great_a circle_n shall_v cut_v one_o another_o at_o right_a angle_n thus_o the_o brazen_a meridian_n do_v intersect_v the_o equinoctial_a and_o horizon_n 14._o if_o two_o of_o the_o great_a circle_n of_o the_o sphere_n shall_v intersect_v one_o another_o and_o pass_v through_o each_o other_o pole_n they_o shall_v intersect_v one_o another_o at_o unequal_a or_o oblique_a angle_n the_o angle_n upon_o the_o one_o side_n of_o the_o intersection_n be_v obtuse_a or_o more_o than_o a_o right_n and_o the_o angle_n upon_o the_o other_o side_n of_o the_o intersection_n be_v acute_a or_o less_o than_o a_o right_n thus_o in_o fig._n 1._o the_o arch_n pm_n do_v intersect_v the_o meridian_n and_o horizon_n but_o not_o in_o the_o pole_n of_o either_o therefore_o the_o angle_n hpm_n upon_o one_o side_n of_o the_o intersection_n of_o that_o arch_n with_o the_o meridian_n be_v more_o than_o a_o right_a angle_n and_o the_o angle_n mpr_fw-la upon_o the_o other_o side_n of_o the_o intersection_n be_v less_o and_o so_o likewise_o the_o angle_n pmh_o upon_o the_o one_o side_n of_o the_o intersection_n of_o the_o arch_n pm_n with_o the_o horizon_n hr_n be_v great_a than_o a_o right_a angle_n and_o the_o angle_n rmp_n upon_o the_o other_o side_n of_o the_o intersection_n be_v less_o than_o a_o right_n 15._o a_o spherical_a angle_n be_v measure_v by_o the_o arch_n of_o a_o great_a circle_n describe_v from_o the_o angular_a point_n between_o the_o side_n of_o the_o angle_n those_o side_n be_v continue_v unto_o quadrant_n thus_o the_o arch_n of_o the_o equator_fw-la tq_fw-la in_o fig._n 1._o be_v the_o measure_n of_o the_o angle_n mpr_fw-la or_o tpq_n the_o side_n pt_v and_o pq_n be_v quadrant_n and_o the_o measure_n thereof_o in_o the_o projection_n may_v thus_o be_v find_v lay_v a_o ruler_n from_o p_o to_o t_o and_o it_o will_v cut_v the_o primitive_a circle_n in_o five_o and_o the_o arch_n vq_n be_v take_v in_o your_o compass_n and_o apply_v to_o your_o line_n of_o chord_n will_v give_v the_o quantity_n of_o the_o angle_n propound_v 16._o the_o compliment_n of_o a_o spherical_a arch_n or_o angle_n be_v so_o much_o as_o it_o want_v of_o a_o quadrant_n if_o the_o arch_n or_o angle_n give_v be_v less_o than_o a_o quadrant_n or_o so_o much_o as_o it_o want_v of_o a_o semicircle_n if_o it_o be_v more_o than_o a_o quadrant_n 17._o a_o arch_n of_o a_o great_a circle_n cut_v the_o arch_n of_o another_o great_a circle_n shall_v intersect_v one_o another_o at_o right_a angle_n or_o make_v two_o angle_n which_o be_v take_v together_o shall_v be_v equal_a unto_o two_o right_a thus_o in_o fig._n 1._o the_o axis_n pas_n or_o equinoctial_a colour_n do_v cut_v the_o equator_fw-la ae_n a_o q_o at_o right_a angle_n but_o the_o meridian_n pms_n do_v cut_v the_o horizon_n hmr_n at_o oblique_a angle_n make_v the_o angle_n pmr_n less_o than_o a_o right_n and_o the_o angle_n smr_n more_o than_o a_o right_n and_o both_o together_o equal_a to_o a_o semicircle_n 18._o from_o these_o general_a definition_n proper_a to_o spherical_a line_n or_o arch_n the_o general_a affection_n of_o these_o arch_n may_v easy_o be_v discern_v i_o mean_v the_o various_a position_n of_o the_o globe_n of_o the_o earth_n in_o respect_n of_o all_o and_o singular_a the_o inhabitant_n thereof_o 19_o and_o the_o whole_a body_n of_o the_o sphere_n or_o globe_n in_o respect_n of_o the_o horizon_n be_v look_v upon_o by_o the_o earth_n inhabitant_n either_o in_o a_o parallel_n a_o right_a or_o a_o oblique_a sphere_n 20._o a_o parallel_n sphere_n be_v when_o one_o of_o the_o pole_n of_o the_o world_n be_v elevate_v above_o the_o horizon_n to_o the_o zenith_n the_o other_o depress_v as_o low_a as_o the_o nadir_n and_o the_o equinoctial_a line_n join_v with_o the_o horizon_n they_o which_o there_o inhabit_v if_o any_o such_o be_v see_v not_o the_o sun_n or_o other_o star_n rise_v or_o set_v or_o high_a or_o low_a in_o their_o diurnal_a revolution_n and_o see_v that_o the_o sun_n traverse_v the_o whole_a zodiac_n in_o a_o year_n and_o that_o half_a the_o zodiac_n be_v above_o the_o horizon_n and_o half_a under_o it_o it_o come_v to_o pass_v that_o the_o sun_n set_v not_o with_o they_o for_o the_o space_n of_o six_o month_n nor_o give_v they_o any_o light_n for_o the_o space_n of_o other_o six_o month_n and_o so_o make_v but_o one_o day_n and_o night_n of_o the_o whole_a year_n 21._o a_o right_a sphere_n be_v when_o both_o the_o pole_n of_o the_o world_n do_v lie_v in_o the_o horizon_n and_o the_o equinoctial_a circle_n be_v at_o his_o great_a distance_n from_o it_o pass_v through_o the_o zenith_n of_o the_o place_n and_o in_o this_o position_n of_o the_o sphere_n all_o the_o celestial_a body_n sun_n moon_n and_o other_o planet_n and_o fix_v star_n by_o the_o daily_o turn_v about_o of_o the_o heaven_n do_v direct_o ascend_v above_o and_o also_o direct_o descend_v below_o the_o horizon_n because_o the_o motion_n which_o they_o make_v in_o their_o daily_a motion_n do_v cut_v the_o horizon_n perpendicular_o and_o as_o it_o be_v at_o right_a angle_n in_o this_o position_n of_o the_o sphere_n all_o the_o star_n may_v be_v observe_v to_o rise_v and_o set_v in_o a_o equal_a space_n of_o time_n and_o to_o continue_v as_o long_o above_o the_o horizon_n as_o they_o do_v under_o it_o the_o day_n and_o night_n to_o those_o inhabitant_n be_v always_o of_o a_o equal_a length_n 22._o a_o oblique_a sphere_n be_v when_o the_o axis_n of_o the_o world_n be_v neither_o direct_a nor_o parallel_v to_o the_o horizon_n be_v incline_v oblique_o towards_o both_o side_n of_o the_o horizon_n as_o in_o fig._n 1._o whence_o it_o come_v to_o pass_v that_o so_o much_o as_o one_o of_o the_o pole_n be_v elevate_v above_o the_o horizon_n upon_o the_o one_o side_n so_o much_o be_v the_o other_o depress_v under_o the_o horizon_n upon_o the_o other_o side_n and_o in_o this_o position_n of_o sphere_n the_o day_n be_v sometime_o long_o than_o the_o night_n sometime_o short_a and_o sometime_o of_o equal_a length_n when_o the_o sun_n be_v in_o either_o of_o the_o equinoctial_a point_n the_o day_n and_o night_n be_v equal_a but_o when_o he_o decline_v from_o the_o equator_fw-la towards_o the_o elevate_a pole_n the_o day_n be_v observe_v to_o increase_v and_o when_o he_o decline_v from_o the_o equator_fw-la towards_o the_o opposite_a pole_n or_o the_o pole_n depress_v the_o day_n do_v decrease_v as_o be_v manifest_a in_o fig._n 1._o for_o when_o the_o sun_n rise_v at_o m_n the_o line_n m_o ♋_o above_o the_o horizon_n be_v the_o semidiurnal_a arch_n of_o the_o long_a day_n when_o he_o rise_v at_o c_o the_o arch_n c_o ♑_o above_o the_o horizon_n be_v the_o semidiurnal_a arch_n of_o the_o short_a day_n and_o when_o he_o rise_v at_o a_o the_o day_n and_o night_n be_v of_o equal_a length_n the_o semidiurnal_a arch_n aae_n be_v equal_a to_o the_o seminocturnal_a arch_n aq_n chap._n iii_o of_o the_o kind_n and_o part_n of_o spherical_a triangle_n and_o how_o to_o project_v the_o same_o upon_o the_o plane_n of_o the_o meridian_n have_v show_v what_o a_o spherical_a triangle_n be_v and_o of_o what_o circle_n it_o be_v compose_v with_o the_o general_a affection_n of_o such_o line_n i_o will_v now_o show_v how_o many_o several_a sort_n of_o triangle_n there_o be_v of_o what_o circular_a part_n they_o do_v consist_v and_o such_o affection_n proper_a to_o they_o as_o will_v render_v the_o sopition_n of_o they_o more_o clear_a and_o certain_a 2._o spherical_a triangle_n be_v either_o right_a or_o oblique_a 3._o a_o right_o angle_v spherical_a triangle_n be_v that_o which_o have_v one_o or_o more_o right_a angle_n 4._o a_o spherical_a triangle_n which_o have_v three_o right_a angle_n have_v always_o his_o three_o side_n quadrant_n as_o in_o fig._n 1._o the_o spherical_a triangle_n azr_n the_o angles_n zra_n raz_n and_o azr_n be_v
towards_o the_o north_n pole_n in_o these_o northern_a part_n of_o the_o world_n the_o contrary_a be_v to_o be_v observe_v in_o the_o southern_a part_n then_o in_o the_o right_o angle_a spherical_a triangle_n adf_n in_o fig._n 1._o we_o have_v give_v the_o angle_n fad_n the_o sun_n great_a declination_n the_o leg_n df_n the_o sun_n present_a declination_n to_o find_v of_o the_o sun_n distance_n from_o the_o next_o equinoctial_a point_n therefore_o by_o the_o case_n of_o right_o angle_v spherical_a triangle_n as_o the_o sine_fw-la of_o fad_n 23._o 525._o comp._n ar._n 0.3988648_o be_v to_o the_o sine_fw-la of_o df._n 23._o 5._o 9.5945468_o so_o be_v the_o radius_fw-la 10.0009000_o to_o the_o sine_fw-la of_o af._n 80._o 04._o 9.9934116_o problem_n 6._o the_o pole_n elevation_n and_o sun_n declination_n be_v give_v to_o find_v his_o amplitude_n the_o amplitude_n of_o the_o sun_n be_v rise_v or_o set_v be_v a_o arch_n of_o the_o horizon_n intercept_v betwixt_o the_o aequator_fw-la and_o the_o place_n of_o the_o sun_n be_v rise_v or_o set_v and_o it_o be_v either_o northward_o or_o southward_o the_o northward_o amplitude_n be_v when_o he_o rise_v or_o set_v on_o this_o side_n of_o the_o aequator_fw-la towards_o the_o north_n pole_n and_o the_o southern_a when_o he_o rise_v or_o set_v on_o that_o side_n of_o the_o aequator_fw-la which_o be_v towards_o the_o south_n pole_n that_o we_o may_v then_o find_v the_o sun_n amplitude_n or_o distance_n from_o the_o east_n or_o west_n point_n at_o the_o time_n of_o his_o rise_n or_o set_v in_o the_o right_o angle_a spherical_a triangle_n atm_n in_o fig._n 2._o let_v there_o be_v give_v the_o angle_n tam_n 38._o 47._o the_o compliment_n of_o the_o pole_n elevation_n and_o tm_n 23._o 15._o the_o sun_n be_v present_a declination_n to_o find_v be_o the_o sun_n amplitude_n by_o the_o eleven_o case_n of_o right_o angle_v spherical_a triangle_n as_o the_o sine_fw-la of_o mat._n 38._o 47._o comp._n ar._n 0.2061365_o be_v to_o the_o radim_n 10.0000000_o so_o be_v the_o sine_fw-la of_o mt_n 23._o 15._o 9.5945468_o to_o the_o sine_fw-la of_o am._n 39_o 19_o 9.8006833_o problem_n 7._o to_o find_v the_o ascensional_a difference_n the_o ascensional_a difference_n be_v nothing_o else_o but_o the_o difference_n between_o the_o ascension_n of_o any_o point_n of_o the_o ecliptic_a in_o a_o right_a sphere_n and_o the_o ascension_n of_o the_o same_o point_n in_o a_o oblique_a sphere_n as_o in_o fig._n 1._o at_o be_v the_o ascensional_a difference_n between_o da_fw-la the_o sun_n ascension_n in_o a_o right_a sphere_n and_o dt_n the_o sun_n ascension_n in_o a_o oblique_a sphere_n now_o then_o in_o the_o right_o angle_a spherical_a triangle_n amt_v we_o have_v give_v the_o angle_n mat._n 38._o 47._o the_o compliment_n of_o the_o pole_n elevation_n and_o mt_n 23._o 15._o to_o find_v at_o the_o ascensional_a difference_n as_o rad._n  _fw-fr to_o the_o cot._n of_o mat._n 38._o 47._o com._n ar._n 10.0999136_o so_o be_v tang._n mt_n 23._o 55._o 9.6310051_o to_o the_o sine_fw-la of_o at_o 32._o 56._o 9.7309187_o problem_n 8._o have_v the_o right_a ascension_n and_o ascensional_n difference_n to_o find_v the_o oblique_a ascension_n and_o descension_n in_o fig._n 1._o dt_n represent_v the_o right_a ascension_n at_o the_o ascensional_a difference_n da_z the_o oblique_a ascension_n which_o be_v find_v by_o deduct_v the_o ascensional_a difference_n at_o from_o the_o right_a ascension_n dt_n according_a to_o the_o direction_n follow_v if_o the_o declination_n be_v n._n north_n subt._n add_v the_o ascentional_a difference_n from_o the_o right_n and_o it_o give_v the_o oblique_a ascension_n the_o ascensional_a difference_n to_o the_o right_n and_o it_o give_v the_o oblique_a descension_n south_n add_v subt._n the_o ascensional_a difference_n to_o the_o right_n and_o it_o give_v the_o oblique_a ascension_n the_o ascensional_a difference_n from_o the_o right_n and_o it_o give_v the_o oblique_a descension_n right_o ascension_n of_o ♊_o 0_o deg_n 57.80_o ascensional_a difference_n 27.62_o oblique_a ascension_n ♊_o 0_o deg_n 30.18_o oblique_a descension_n ♊_o 0_o deg_n 85.42_o problem_n 9_o to_o find_v the_o time_n of_o the_o sun_n be_v rise_v and_o set_v with_o the_o length_n of_o the_o day_n and_o night_n the_o ascensional_a difference_n of_o the_o sun_n be_v add_v to_o the_o semidiurnal_a arch_n in_o a_o right_a sphere_n that_o be_v to_o 90_o degree_n in_o the_o northern_a sign_n or_o substract_v from_o it_o in_o the_o southern_a their_o sum_n or_o difference_n will_v be_v the_o semidiurnal_a arch_n which_o double_v be_v the_o right_a arch_n which_o bisect_v be_v the_o time_n of_o the_o sun_n rise_v and_o the_o day_n arch_n bisect_v be_v the_o time_n of_o his_o set_n as_o when_o the_o sun_n be_v in_o 0_o deg_n ♊_o his_o ascensional_a difference_n be_v 27._o 62._o which_o be_v add_v to_o 90_o degree_n because_o the_o declination_n be_v north_n the_o sum_n will_v be_v 117.62_o the_o semidiurnal_a arch._n the_o double_a whereof_o be_v 235.22_o the_o diurnal_a arch_n which_o be_v convert_v into_o time_n make_v 15_o hour_n 41_o minute_n for_o the_o length_n of_o the_o day_n who_o compliment_n to_o 24_o be_v 8_o hour_n 19_o minute_n the_o length_n of_o the_o night_n the_o half_a whereof_o be_v 4_o hour_n 9_o minute_n 30_o second_o the_o time_n of_o the_o sun_n be_v rise_v problem_n 10._o the_o pole_n elevation_n and_o the_o sun_n declination_n be_v give_v to_o find_v his_o altitude_n at_o any_o time_n assign_v in_o this_o problem_n there_o be_v three_o variety_n 1._o when_o the_o sun_n be_v in_o the_o aequator_fw-la that_o be_v in_o the_o begin_n of_o ♈_o and_o ♎_o in_o which_o case_n suppose_v the_o sun_n to_o be_v at_o b_o 60_o degree_n or_o four_o hour_n distant_a from_o the_o meridian_n then_o in_o the_o right_o angle_a spherical_a triangle_n bz_n ae_n in_o fig._n 1._o we_o have_v give_v ae_n z_o 51._o 53._o the_o pole_n elevation_n and_o b_o ae_n 60_o degree_n to_o find_v bz_n therefore_o by_o the_o 2_o case_n of_o right_o angle_v spherical_a triangle_n as_o the_o radius_fw-la  _fw-fr to_z the_o cousin_n of_o ae_n z._n 51._o 53._o 9.7938635_o so_o be_v the_o cousin_n of_o b._n ae_n 60._o 9.6989700_o to_o the_o cousin_n of_o b_o z._n 71._o 88_o 9.4928335_o who_o be_v compliment_n bc._n 18._o 12._o be_v the_o ☉_o altitude_n require_v the_o second_o variety_n be_v when_o the_o sun_n be_v in_o the_o northern_a sign_n that_o be_v in_o ♈_o ♉_o ♊_o ♋_o ♌_o â™_o in_o which_o case_n suppose_v the_o sun_n to_o be_v at_o f_o in_o fig._n two_o then_o in_o the_o oblique_a angle_a spherical_a triangle_n fzp_n we_o have_v give_v 1._o pz_fw-fr 38._o 47_o the_o compliment_n of_o the_o pole_n elevation_n 2._o fp_n 67._o 97_o the_o compliment_n of_o declination_n 3._o zpf_n 45_o the_o distance_n of_o the_o ☉_o from_o the_o meridian_n to_o find_v fz_n therefore_o by_o the_o eight_o case_n of_o oblique_a angle_a spherical_a triangle_n as_o the_o cotang_n of_o zp_n 38._o 47._o 10.0997059_o be_v to_o the_o radius_fw-la 10.0000000_o so_o be_v the_o cousin_n of_o zpf_n 45._o 9.8494850_o to_o the_o tang._n of_o sp._n 29._o 33._o 9.7497791_o then_o from_o fp_n 67.97_o deduct_v sp._n 29.33_o there_o rest_v f_n 38.64_o as_o the_o cousin_n of_o sp._n 29._o 33._o comp._n ar._n 0.0595768_o to_o the_o cousin_n of_o pz_n 38._o 47._o 9.8937251_o so_o be_v the_o cousin_n of_o f_n 38._o 64._o 9.8926982_o to_o the_o cousin_n of_o fz_n 45._o 45._o 9.8460001_o who_o be_v compliment_n fc_n 44._o 55_o be_v the_o ☉_o altitude_n require_v the_o three_o variety_n be_v when_o the_o sun_n be_v in_o the_o southern_a sign_n as_o in_o ♎_o â™_o â™_o ♑_o â™’_o ♓_o and_o in_o this_o case_n suppose_v the_o ☉_o to_o be_n â™_o 10_o degree_n and_o his_o declination_n south_n db_n 22._o 03._o and_o his_o distance_n from_o the_o meridian_n 45_o as_o before_o then_o in_o the_o oblique_a angle_a spherical_a triangle_n z_o bp_n in_o fig._n 1._o we_o have_v give_v z_o p._n 38._o 47._o the_o side_n bp_v 112._o 03._o and_o the_o angle_n zpb_n 45._o to_o find_v zb._n therefore_o by_o the_o 8_o case_n of_o oblique_a angle_a spherical_a triangle_n as_o the_o cotang_n of_o zp_n 38._o 47._o 10.0997059_o be_v to_o the_o radius_fw-la 10.0000000_o so_o be_v the_o cousin_n of_o zpb_n 45._o 9.8494850_o to_o the_o tang._n of_o sp._n 29._o 33._o 9.7497791_o then_o from_o bp._n 112.03_o deduct_v sp._n 29.33_o there_o rest_v bs._n 82.70_o as_o the_o cousin_n of_o p_o s._n 29._o 33._o comp._n ar._n 0.0595768_o to_o the_o cousin_n of_o zp_n 38._o 47._o 9.8937251_o so_o the_o cousin_n of_o bs._n 82._o 70_o 9.1040246_o to_o the_o cousin_n of_o zb._n 83._o 45._o 9.0573265_o who_o be_v compliment_n 6.55_o be_v the_o ☉_o altitude_n require_v problem_n 11._o have_v the_o altitude_n of_o the_o sun_n his_o distance_n
and_o gallic_a ocean_n those_o of_o most_o note_n be_v these_o six_o 1._o oleron_n 2._o reâ—_n 3._o jarsey_n 4._o gernsey_n 5._o sarke_n 6._o aldernay_n on_o the_o shore_n of_o normandy_n of_o which_o the_o four_o last_o be_v under_o the_o king_n of_o england_n 15._o italy_n once_o the_o empress_n of_o the_o great_a part_n of_o the_o then_o know_a world_n be_v compass_v with_o the_o adriatic_a ionian_a and_o tyrrhenian_a sea_n except_o it_o be_v towards_o france_n and_o germany_n from_o which_o it_o be_v part_v by_o the_o alps_n so_o that_o it_o be_v in_o a_o manner_n a_o peninsula_n or_o a_o demi-island_n but_o more_o particular_o it_o have_v on_o the_o east_n the_o low_a part_n of_o the_o adriatic_a and_o the_o ionian_a sea_n by_o which_o it_o be_v divide_v from_o greece_n on_o the_o west_n the_o river_n varus_n and_o some_o part_n of_o the_o alps_n by_o which_o it_o be_v part_v from_o france_n on_o the_o north_n in_o some_o part_n the_o alps_n which_o divide_v it_o from_o germany_n and_o on_o the_o other_o part_n of_o the_o adriatic_a which_o divide_v it_o from_o dalmaria_n and_o on_o the_o south_n the_o tyrrhenian_a and_o tuscan_a sea_n by_o which_o it_o be_v separate_v from_o the_o main_a land_n of_o africa_n 16._o it_o contain_v in_o length_n from_o augusta_n praetoria_n now_o call_v ao_v at_o the_o foot_n of_o the_o alps_n unto_o otranto_n in_o the_o most_o eastern_a point_n of_o the_o kingdom_n of_o naples_n 1020_o mile_n in_o breadth_n from_o the_o river_n varo_n which_o part_v it_o from_o provence_n to_o the_o mouth_n of_o the_o river_n arsia_n in_o friuli_n where_o it_o be_v broad_o 410_o mile_n about_o otranto_n where_o it_o be_v narrow_a not_o above_o 25_o mile_n and_o in_o the_o middle_a part_n from_o the_o mouth_n of_o peseara_n in_o the_o adriatic_a or_o upper_a sea_n to_o the_o mouth_n of_o tiber_n in_o the_o tuscan_a or_o low_a sea_n 126_o mile_n the_o whole_a compass_n by_o sea_n reckon_v in_o the_o wind_n and_o turn_n of_o the_o shore_n come_v to_o 3038_o mile_n which_o add_v to_o the_o 410_o which_o it_o have_v by_o land_n make_v up_o in_o all_o 3448_o mile_n but_o if_o the_o coast_n on_o each_o side_n be_v reckon_v by_o a_o straight_a line_n then_o as_o castaldo_n compute_v it_o it_o come_v to_o no_o more_o than_o 2550_o mile_n 17._o the_o whole_a country_n lie_v under_o the_o first_o and_o six_o climate_n of_o the_o northern_a temperate_a zone_n which_o it_o whole_o take_v up_o so_o that_o the_o long_a day_n in_o the_o most_o northern_a part_n be_v 15_o hour_n and_o three_o first_o part_n of_o a_o hour_n the_o long_a in_o the_o southern_a part_n fall_v short_a a_o full_a hour_n of_o that_o length_n 18._o italy_n as_o it_o stand_v now_o be_v divide_v into_o the_o kingdom_n of_o naples_n sicily_n and_o sardinia_n 2._o the_o land_n or_o patrimony_n of_o the_o church_n 3._o the_o great_a dukedom_n of_o tuscany_n 4._o the_o commonwealth_n of_o venice_n genoa_n and_o luca._n 5._o the_o estate_n of_o lombardy_n that_o be_v the_o dukedom_n of_o 1._o mâ—llain_n 2._o mantua_n 3._o modena_n 4._o parma_n 5._o montferrat_n and_o the_o principality_n of_o piedmont_n 19_o to_o the_o peninsula_n of_o italy_n belong_v the_o alps_n aridge_n of_o hill_n wherewith_o as_o with_o a_o strong_a and_o defensible_a rampart_n italy_n be_v assure_v against_o france_n and_o germany_n they_o be_v say_v to_o be_v five_o day_n journey_n high_a cover_v continual_o with_o snow_n from_o the_o whiteness_n whereof_o they_o take_v this_o name_n it_o do_v contain_v the_o dukedom_n of_o savoy_n the_o seignory_n of_o geneva_n the_o country_n of_o wallisland_n switzerland_n and_o the_o grison_n 20._o belgium_n or_o the_o netherlands_o be_v bound_v on_o the_o east_n with_o westphalin_n gulick_n cleve_n and_o the_o land_n of_o trier_n province_n of_o the_o high_a germany_n on_o the_o west_n with_o the_o main_a ocean_n which_o divide_v it_o from_o britain_n on_o the_o north_n with_o the_o river_n ems_n which_o part_v it_o from_o east-friezeland_a on_o the_o south_n with_o picardy_n and_o campagne_n two_o french_a province_n upon_o the_o southeast_n with_o the_o dukedom_n of_o lorraine_n 21._o it_o be_v in_o compass_n 1000_o italian_n or_o 280_o german_a mile_n and_o be_v situate_v in_o the_o northern_a temperate_a zone_n under_o the_o seven_o eight_o and_o nine_o climate_n the_o long_a day_n in_o the_o midst_n of_o the_o seven_o climate_n where_o it_o do_v begin_v be_v 16_o hour_n in_o the_o beginning_n of_o the_o nine_o climate_n increase_v to_o 16_o hour_n 3_o quarter_n or_o near_o 17_o hour_n 22._o it_o contain_v those_o province_n which_o in_o these_o late_a age_n be_v possess_v by_o the_o house_n of_o burgundy_n that_o be_v the_o lordship_n of_o west-friezeland_a give_v to_o the_o earl_n of_o holland_n by_o charles_n the_o bald_a the_o earldom_n of_o zutphen_n unite_v unto_o that_o of_o gelder_n by_o earl_n otho_n of_o nassau_n and_o final_o the_o estate_n of_o groening_n overyssel_a and_o some_o part_n of_o vtrecht_n by_o charles_n the_o five_o as_o it_o stand_v now_o divide_v between_o the_o spaniard_n and_o the_o state_n it_o contain_v the_o province_n of_o 1._o flanders_n 2._o artois_n 3._o hainault_n 4._o the_o bishopric_n of_o cambray_n 5._o namur_n 6._o luxemburg_n 7._o limbourg_n 8._o luyckland_n or_o the_o bishopric_n of_o liege_n 9_o brabant_n 10._o marquisate_n 11._o meohlin_n the_o rest_n of_o the_o netherlands_o which_o have_v now_o for_o sometime_o withdraw_v their_o obedience_n from_o the_o king_n of_o spain_n be_v 1._o holland_n 2._o zealand_n 3._o west-friezeland_a 4._o vtrecht_n 5._o overyssel_a 6._o gelderland_n 7._o zutphen_n 8._o groening_n 23._o germany_n be_v bound_v on_o the_o east_n with_o prussia_n poland_n and_o hungary_n on_o the_o west_n with_o france_n switzerland_n and_o belgium_n on_o the_o north_n with_o the_o baltic_a sea_n the_o ocean_n and_o some_o part_n of_o denmark_n on_o the_o south_n with_o the_o alps_o which_o part_n it_o from_o italy_n 24._o the_o length_n from_o east_n to_o west_n that_o be_v from_o the_o vistula_n or_o weissel_n to_o the_o rhine_n be_v estimate_v at_o 840_o italian_a mile_n the_o breadth_n from_o north_n to_o south_n that_o be_v from_o the_o ocean_n to_o the_o town_n of_o brixen_n in_o tyrol_n 740_o of_o the_o same_o mile_n so_o that_o the_o figure_n of_o it_o be_v near_o a_o square_n it_o may_v take_v up_o 3160_o mile_n in_o compass_n or_o thereabouts_o situate_v in_o the_o northern_a temperate_a zone_n between_o the_o middle_a parallel_n of_o the_o six_o and_o ten_o climate_n the_o long_a day_n in_o the_o most_o southern_a part_n be_v 15_o hour_n and_o a_o half_a and_o in_o the_o most_o northern_a 17_o hour_n and_o a_o quarter_n 25._o the_o principal_a part_n of_o this_o great_a continent_n be_v 1._o cleveland_n 2._o the_o estate_n of_o the_o three_o spiritual_a elector_n colen_n â—â—â—ntz_n and_o trier_n 3._o the_o palatinate_n of_o the_o rhine_n 4._o alsatia_n 5._o lorraine_n 6._o suevia_n or_o schwaben_n 7._o bavaria_n 8._o austria_n and_o its_o appendix_n 9_o the_o confederation_n of_o waderaw_n 10._o franconia_n 11._o wirtenberg_n 12._o baden_n 13._o the_o palatinate_n of_o northgoia_n or_o the_o upper_a palatinate_n 14._o bohemia_n and_o the_o incorporate_v province_n 15._o pomerania_n 16._o mecklenburg_n 17._o the_o marquisate_n of_o brandenburg_n 18._o saxony_n and_o the_o member_n of_o it_o 19_o the_o dukedom_n of_o brunswick_n and_o lunenburg_n 20._o the_o lantgravedom_n of_o hassia_n 21._o westphalen_n 22._o east-friezeland_a 26._o denmark_n or_o danemark_n reckon_v in_o the_o addition_n of_o the_o dukedom_n of_o holstein_n and_o the_o great_a continent_n of_o norway_n with_o the_o isle_n thereof_o now_o all_o unite_a and_o incorporate_v into_o one_o estate_n be_v bound_v on_o the_o east_n with_o the_o baltic_a sea_n and_o some_o part_n of_o sweden_n on_o the_o west_n with_o the_o main_a western_a ocean_n on_o the_o north-east_n with_o a_o part_n of_o sweden_n full_a north_n with_o the_o main_a freeze_a sea_n and_o on_o the_o south_n with_o germany_n from_o which_o it_o be_v divide_v on_o the_o south-west_n by_o the_o river_n albis_n and_o on_o the_o southeast_n by_o the_o trave_n a_o little_a isthmus_n or_o neck_n of_o land_n unite_n it_o to_o the_o continent_n 27._o it_o lie_v partly_o in_o the_o northern_a temperate_a zone_n and_o partly_o within_o the_o arctic_a circle_n extend_v from_o the_o middle_a parallel_n of_o the_o ten_o clime_n or_o 55_o degree_n of_o latitude_n where_o it_o join_v with_o germany_n as_o far_o as_o the_o 71_o degree_n where_o it_o have_v no_o other_o bind_v but_o the_o freeze_a ocean_n by_o which_o account_n the_o long_a day_n in_o the_o most_o southern_a part_n be_v 17_o hour_n and_o a_o quarter_n but_o in_o the_o part_n extreme_o north_n they_o have_v no_o night_n for_o
government_n the_o several_a province_n be_v 1._o peloponnesus_n 2._o achaia_n 3._o epirus_n 4._o albania_n 5._o macedon_n 6._o thrace_n 7._o the_o island_n of_o the_o propontick_a 8._o aegean_a and_o 9_o the_o ionian_a sea_n and_o 10._o final_o the_o isle_n of_o crete_n and_o thus_o i_o have_v give_v you_o a_o brief_a description_n of_o those_o country_n which_o be_v comprehend_v in_o the_o continent_n of_o europe_n the_o island_n in_o this_o part_n of_o the_o world_n be_v many_o i_o will_v mention_v only_o some_o few_o these_o two_o in_o the_o british_a and_o northern_a ocean_n know_v by_o the_o name_n of_o great_a britain_n and_o ireland_n be_v the_o most_o famous_a to_o which_o may_v be_v add_v greenland_n in_o the_o mediterranaen_n sea_n you_o have_v the_o island_n of_o sicilia_n sardinia_n corsica_n and_o crete_n which_o be_v now_o call_v candia_n the_o great_a and_o the_o less_o as_o for_o the_o other_o island_n belong_v to_o this_o part_n of_o the_o world_n the_o reader_n may_v expect_v a_o more_o particular_a description_n from_o they_o who_o have_v or_o shall_v write_v more_o large_o of_o this_o subject_n this_o we_o deem_v sufficient_a for_o our_o present_a purpose_n let_v this_o then_o suffice_v for_o the_o description_n of_o the_o first_o part_n of_o the_o world_n call_v europe_n chap._n iu._n of_o asia_n asia_n be_v bind_v on_o the_o west_n with_o the_o mediterranean_a and_o aegaean_a sea_n the_o hellespont_n propontis_n thracian_a bosphorus_n and_o the_o euxine_a sea_n the_o palus_n maeotis_n the_o river_n tanais_n and_o duina_n a_o line_n be_v draw_v from_o the_o first_o of_o the_o two_o say_a river_n unto_o the_o other_o by_o all_o which_o it_o be_v part_v from_o europe_n on_o the_o north_n it_o have_v the_o main_a scythick_n ocean_n but_o on_o the_o east_n the_o indian_a ocean_n and_o mare_fw-la del_fw-it eur_fw-fr by_o which_o it_o be_v separate_v from_o america_n on_o the_o south_n the_o mediterranean_a or_o that_o part_n of_o it_o which_o be_v call_v the_o carpathian_n sea_n wash_v the_o shore_n of_o anatolia_n and_o the_o main_a southern_a ocean_n pass_v along_o the_o indian_a persian_a and_o arabian_a coast_n and_o final_o on_o the_o south-west_n the_o red_a sea_n or_o bay_n of_o arabia_n by_o which_o it_o be_v part_v from_o africa_n environ_v on_o all_o side_n with_o the_o sea_n or_o some_o sea_n like_o rivers_n except_o a_o narrow_a isthmus_n in_o the_o south-west_n which_o join_v it_o to_o africa_n and_o the_o space_n of_o ground_n whatsoever_o it_o be_v between_o duina_n and_o tanais_n on_o the_o northwest_n which_o unite_v it_o to_o europe_n 2._o it_o be_v situate_v east_n and_o west_n from_o the_o 52_o to_o the_o 169_o degree_n of_o longitude_n and_o north_n and_o south_n from_o the_o 82_o degree_n of_o latitude_n to_o the_o very_a aequator_fw-la some_o of_o the_o island_n only_o lie_v on_o the_o south_n of_o that_o circle_n so_o that_o the_o long_a summer_n day_n in_o the_o southern_a part_n be_v but_o twelve_o hour_n but_o in_o the_o most_o northern_a part_n hereof_o almost_o four_o whole_a month_n together_o 3._o this_o country_n have_v heretofore_o be_v have_v in_o special_a honour_n 1._o for_o the_o creation_n of_o man_n who_o have_v his_o first_o make_v in_o this_o part_n of_o the_o world_n 2._o because_o in_o this_o part_n of_o it_o stand_v the_o garden_n of_o eden_n which_o he_o have_v for_o the_o first_o place_n of_o his_o habitation_n 3._o because_o here_o flourish_v the_o four_o first_o great_a monarchy_n of_o the_o assyrian_n babylonian_n mede_n and_o persian_n 4._o because_o it_o be_v the_o scene_n of_o almost_o all_o the_o memorable_a action_n which_o be_v record_v by_o the_o penman_n of_o the_o scripture_n 5._o because_o our_o saviour_n christ_n be_v bear_v here_o and_o here_o wrought_v his_o most_o divine_a miracle_n and_o accomplish_v the_o great_a work_n of_o our_o redemption_n 6._o and_o final_o because_o from_o hence_o all_o nation_n of_o the_o world_n have_v their_o first_o beginning_n on_o the_o dispersion_n which_o be_v make_v by_o the_o son_n of_o noah_n after_o their_o vain_a attempt_n at_o babel_n 4._o this_o part_n of_o the_o world_n for_o the_o better_a understanding_n of_o the_o greek_a and_o the_o roman_a story_n and_o the_o estate_n of_o the_o assyrian_a babylonian_a and_o the_o persian_a monarchy_n to_o which_o the_o holy_a scripture_n do_v so_o much_o relate_v we_o shall_v consider_v as_o divide_v into_o the_o region_n of_o 1._o anatolia_n or_o asia_n minor_fw-la 2._o cyprus_n 3._o syria_n 4._o arabia_n 5._o chaldea_n 6._o assyria_n 7._o mesopotamia_n 8._o turcomania_n 9_o media_fw-la 10._o persia._n 11._o tartary_n 12._o china_n 13._o india_n and_o 14._o the_o oriental_a island_n anatolia_n or_o asia_n minor_fw-la anatolia_n or_o asia_n minor_a be_v bound_v on_o the_o east_n with_o the_o river_n euphrates_n by_o which_o it_o be_v part_v from_o the_o great_a asia_n on_o the_o west_n with_o the_o thracian_a bosphorus_n propontis_n hellespont_n and_o the_o aegean_a sea_n by_o which_o it_o be_v part_v from_o europe_n on_o the_o north_n with_o pontus_n euxinus_n call_v also_o the_o black_a sea_n and_o mare_n maggiore_n and_o on_o the_o south_n by_o the_o rhodian_a lydian_a and_o pamphilian_a sea_n several_a part_n of_o the_o mediterranean_a so_o that_o it_o be_v a_o demi-island_n or_o peninsula_n environ_v on_o all_o side_n with_o water_n except_v a_o small_a isthmus_n or_o neck_n of_o land_n extend_v from_o the_o head_n of_o euphrates_n to_o the_o euxine_a sea_n by_o which_o it_o be_v join_v to_o the_o rest_n of_o asia_n it_o reach_v from_o the_o 51_o to_o the_o 72_o degree_n of_o longitude_n and_o from_o the_o 36_o to_o the_o 45_o degree_n of_o latitude_n and_o lie_v almost_o in_o the_o same_o position_n with_o italy_n extend_v from_o the_o middle_a parallel_n of_o the_o four_o clime_n to_o the_o middle_a parallel_n of_o the_o six_o so_o that_o the_o long_a summer_n day_n in_o the_o southern_a part_n be_v about_o 14_o hour_n and_o a_o half_a and_o one_o hour_n long_o in_o those_o part_n which_o lie_v most_o towards_o the_o north._n the_o province_n into_o which_o it_o be_v divide_v before_o the_o roman_a conquest_n be_v 1._o bythinia_n 2._o pontus_n 3._o paphlagonia_n 4._o galatia_n 5._o cappadocia_n 6._o armenia_n major_a &_o minor_n 7._o phrygia_n minor_fw-la 8._o phrygia_n major_a 9_o mysia_n the_o great_a and_o the_o less_o 10._o asia_n special_o so_o call_v comprehend_v aeolis_n and_o jonia_n 11._o lydia_n 12._o caria_n 13._o lycia_n 14._o lycaonia_n 15._o pisidia_n 16._o pamphylia_n 17._o isauria_n 18._o cilicia_n 19_o the_o province_n of_o the_o asian_a isle_n whereof_o the_o most_o principal_a be_v 1._o tenedos_n 2._o chios_n 3._o samos_n 4._o choo_n 5._o icaria_n 6._o lesbos_n 7._o patmos_n 8._o claros_n 9_o carpathos_n 10._o rhodes_n cyprus_n cyprus_n be_v situate_v in_o the_o syrian_a and_o cilician_n sea_n extend_v in_o length_n from_o east_n to_o west_n 200_o mile_n in_o breadth_n 60_o the_o whole_a compass_n reckon_v 550_o distant_a about_o 60_o mile_n from_o the_o rocky_a shore_n of_o cilicia_n in_o asia_n minor_fw-la and_o about_o one_o hundred_o from_o the_o main_a land_n of_o syria_n it_o be_v situate_v under_o the_o four_o climate_n so_o that_o the_o long_a day_n in_o summer_n be_v no_o more_o than_o 14_o hour_n and_o a_o half_a divide_v by_o ptolemy_n into_o the_o 4_o province_n of_o 1._o paphia_n 2._o amathasia_n 3._o lepathia_n 4._o salamine_n syria_n syria_n be_v bound_v on_o the_o east_n with_o the_o river_n euphrates_n by_o which_o it_o be_v part_v from_o mesopotamia_n on_o the_o west_n with_o the_o mediterranean_a sea_n on_o the_o north_n with_o cilicia_n and_o armenia_n minor_a part_v from_o the_o last_o by_o mount_n taurus_n and_o on_o the_o south_n with_o palestine_n and_o some_o part_n of_o arabia_n the_o length_n hereof_o from_o mount_n taurus_n to_o the_o edge_n of_o arabia_n be_v say_v to_o be_v 525_o mile_n the_o breadth_n from_o the_o mediterranean_a to_o the_o river_n euphrates_n 470_o miles_n draw_v somewhat_o near_o unto_o a_o square_n the_o whole_a country_n be_v ancient_o divide_v into_o these_o six_o part_n 1._o phoenicia_n 2._o palestine_n 3._o syria_n special_o so_o call_v 4._o comagena_n 5._o palmyrene_n and_o caelosyria_n or_o syria_n cava_fw-la arabia_n arabia_n have_v on_o the_o east_n chaldaea_n and_o the_o bay_n or_o gulf_n of_o persia_n on_o the_o west_n palestine_n some_o part_n of_o egypt_n and_o the_o whole_a course_n of_o the_o red_a sea_n on_o the_o north_n the_o river_n euphrates_n with_o some_o part_n of_o syria_n and_o palestine_n and_o on_o the_o south_n the_o main_a southern_a ocean_n it_o be_v in_o circuit_n about_o 4000_o mile_n but_o of_o so_o unequal_a and_o heteregeneous_a composition_n that_o no_o general_a character_n can_v be_v give_v of_o it_o and_o therefore_o we_o
90_o begin_v again_o with_o 10._o 20._o 30_o etc._n etc._n be_v for_o that_o the_o use_n of_o this_o meridian_n in_o reference_n to_o its_o division_n in_o degree_n require_v no_o more_o than_o that_o number_n 12._o the_o horizon_n be_v a_o great_a circle_n without_o the_o globe_n which_o divide_v the_o upper_a part_n of_o heaven_n from_o the_o low_a so_o that_o the_o one_o half_a be_v always_o above_o that_o circle_n and_o the_o other_o under_o it_o 13._o the_o pole_n of_o this_o circle_n be_v two_o the_o one_o direct_o over_o our_o head_n and_o be_v call_v the_o zenith_n the_o other_o be_v under_o foot_n and_o be_v call_v the_o nadir_n 14._o the_o horizon_n be_v either_o rational_a or_o sensible_a 15._o the_o rational_a horizon_n be_v that_o which_o divide_v the_o heaven_n and_o the_o earth_n into_o two_o equal_a part_n which_o though_o it_o can_v be_v perceive_v and_o distinguish_v by_o the_o eye_n yet_o may_v be_v conceive_v iâ—_n our_o mind_n in_o which_o respect_n all_o the_o star_n may_v be_v conceive_v to_o rise_v and_o set_v as_o in_o our_o view_n 16._o the_o visible_a horizon_n be_v that_o circle_n which_o the_o eye_n do_v make_v at_o its_o far_a extent_n of_o sight_n when_o the_o body_n in_o any_o particular_a place_n do_v turn_v itself_o round_o of_o these_o two_o circle_n there_o need_v no_o more_o to_o be_v say_v at_o present_a only_o we_o may_v observe_v that_o it_o be_v ingenious_o devise_v by_o those_o who_o first_o think_v upon_o it_o to_o set_v one_o meridian_n and_o one_o horizon_n without_o the_o globe_n to_o avoid_v the_o confusion_n if_o not_o the_o impossibility_n of_o draw_v a_o several_a meridian_n and_o a_o several_a horizon_n for_o every_o place_n which_o must_v have_v be_v do_v if_o this_o or_o the_o like_a device_n have_v not_o be_v think_v upon_o 17._o beside_o these_o two_o great_a circle_n without_o the_o globe_n there_o be_v 4_o other_o great_a circle_n draw_v upon_o the_o globe_n itself_o beside_o the_o meridian_n 1._o the_o aequator_fw-la or_o equinoctial_a circle_n 2._o the_o zodiac_n 3._o the_o aequinoctial_a colour_n 4._o solstitial_a colour_n and_o these_o four_o circle_n be_v immutable_a that_o be_v in_o whatsoever_o part_n of_o the_o world_n you_o be_v these_o circle_n have_v no_o variation_n as_o the_o other_o two_o have_v 18._o the_o aequator_fw-la be_v a_o great_a circle_n draw_v upon_o the_o globe_n in_o the_o middle_n between_o the_o two_o pole_n and_o plain_o divide_v the_o globe_n into_o two_o equal_a part_n 19_o the_o aequator_fw-la be_v the_o measure_n of_o the_o motion_n of_o the_o primum_fw-la mobile_n for_o 15_o degree_n of_o this_o circle_n do_v always_o arise_v in_o a_o hour_n time_n the_o which_o do_v clear_o show_v that_o the_o whole_a heaven_n be_v turn_v round_o by_o equal_a interval_n in_o the_o space_n of_o one_o day_n or_o 24_o hour_n 20._o in_o this_o circle_n the_o declination_n of_o the_o star_n be_v compute_v from_o the_o mid-heaven_n towards_o the_o north_n or_o south_n 21._o this_o circle_n give_v denomination_n to_o the_o aequinox_n for_o the_o sun_n do_v twice_o in_o a_o year_n and_o no_o more_o cross_v this_o circle_n to_o wit_n when_o he_o enter_v the_o first_o point_n of_o aries_n and_o libra_n and_o then_o he_o make_v the_o day_n and_o the_o night_n equal_a his_o entrance_n into_o aries_n be_v in_o march_n and_o be_v call_v the_o vernal_a equinox_n and_o his_o entrance_n into_o libra_n be_v in_o september_n and_o be_v call_v the_o autumnal_a equinox_n 22._o and_o from_o one_o certain_a point_n in_o this_o circle_n the_o longitude_n of_o place_n upon_o the_o earth_n be_v reckon_v and_o the_o latitude_n of_o place_n be_v reckon_v from_o this_o circle_n towards_o the_o north_n or_o the_o south_n poles_n 23._o the_o zodiac_n be_v a_o great_a circle_n draw_v upon_o the_o globe_n cut_v the_o aequinoctial_a point_n at_o oblique_a angle_n for_o although_o it_o divide_v the_o whole_a world_n into_o two_o equal_a part_n in_o reference_n to_o its_o own_o pole_n yet_o in_o reference_n to_o the_o pole_n of_o the_o world_n it_o have_v a_o oblique_a motion_n 24._o the_o pole_n of_o this_o circle_n be_v as_o far_o distant_a from_o the_o pole_n of_o the_o world_n as_o the_o great_a obliquity_n thereof_o be_v from_o the_o equinoctial_a that_o be_v 23_o degree_n and_o 31_o minute_n or_o thereabouts_o 25._o this_o circle_n do_v differ_v from_o all_o other_o circle_n upon_o the_o globe_n in_o this_o other_o circle_n to_o speak_v proper_o have_v longitude_n assign_v they_o but_o no_o latitude_n but_o this_o have_v both_o whereas_o other_o circle_n be_v in_o reference_n to_o their_o longitude_n or_o rotundity_n only_o divide_v into_o 360_o degree_n this_o circle_n in_o respect_n of_o its_o latitude_n be_v suppose_v to_o be_v divide_v into_o 16_o degree_n in_o latitude_n 26._o the_o zodiac_n then_o in_o respect_n of_o longitude_n be_v common_o divide_v into_o 360_o degree_n as_o other_o circle_n be_v but_o more_o peculiarly_a in_o respect_n of_o its_o self_n it_o be_v divide_v into_o 12_o part_n call_v sign_n and_o each_o sign_n into_o 30_o degree_n and_o 12_o time_n 30_o do_v make_v 360._o 27._o the_o 12_o sign_n into_o which_o the_o zodiac_n be_v divide_v have_v these_o name_n and_o character_n aries_n ♈_o taurus_n ♉_o gemini_fw-la ♊_o cancer_n ♋_o leo_n ♌_o virgo_fw-la â™_o libra_n ♎_o scorpio_n â™_o sagittarius_fw-la â™_o capricornus_fw-la ♑_o aquarius_n â™’_o and_o pisces_fw-la ♓_o 28._o these_o two_o circle_n of_o the_o equator_fw-la and_o zodiack_n be_v cross_v by_o two_o other_o great_a circle_n which_o be_v call_v colour_n they_o be_v draw_v through_o the_o pole_n of_o the_o world_n and_o cut_v one_o another_o as_o well_o as_o the_o equator_fw-la at_o right_a angle_n one_o of_o they_o pass_v through_o the_o intersection_n of_o the_o equinoctial_a point_n and_o be_v call_v the_o equinoctial_a colour_n the_o other_o pass_v through_o the_o point_n of_o the_o great_a distance_n of_o the_o zodiac_n from_o the_o equator_fw-la and_o be_v call_v the_o solstitial_a colour_n 29._o the_o other_o great_a circle_n describe_v upon_o the_o globe_n be_v the_o meridian_n where_o we_o must_v not_o think_v much_o to_o hear_v of_o the_o meridian_n again_o that_o of_o brass_n without_o the_o globe_n be_v to_o serve_v all_o turn_n and_o the_o globe_n be_v frame_v to_o apply_v itself_o thereto_o the_o meridian_n upon_o the_o globe_n will_v easy_o be_v perceive_v to_o be_v of_o a_o new_a and_o another_o use_n 30._o the_o meridian_n upon_o the_o globe_n be_v either_o the_o great_a or_o the_o less_o not_o that_o the_o great_a be_v any_o great_a than_o the_o less_o for_o they_o have_v all_o one_o and_o the_o same_o centre_n and_o equal_o pass_v through_o the_o pole_n of_o the_o earth_n but_o those_o which_o be_v call_v less_o be_v of_o less_o use_n than_o that_o which_o be_v call_v the_o great_a 31._o the_o great_a be_v otherwise_o call_v the_o fix_v and_o first_o meridian_n to_o which_o the_o less_o be_v second_o and_o respective_o movable_a the_o great_a meridian_n be_v as_o it_o be_v the_o landmark_n of_o the_o whole_a sphere_n from_o whence_o the_o longitude_n of_o the_o earth_n or_o any_o part_n thereof_o be_v account_v and_o it_o be_v the_o only_a circle_n which_o pass_v through_o the_o pole_n be_v graduate_v or_o divide_v into_o degree_n not_o the_o whole_a circle_n but_o the_o half_a because_o the_o longitude_n be_v to_o be_v reckon_v round_o about_o the_o earth_n 32._o the_o lesser_a meridian_n be_v those_o black_a line_n which_o you_o see_v to_o pass_v through_o the_o pole_n and_o succeed_a the_o great_a at_o 10_o and_o 10_o degree_n as_o in_o most_o globe_n or_o at_o 15_o and_o 15_o degree_n difference_n as_o in_o some_o every_o place_n never_o so_o little_o more_o east_n or_o west_n than_o another_o have_v proper_o a_o several_a meridian_n yet_o because_o of_o the_o huge_a distance_n of_o the_o earth_n from_o the_o heaven_n there_o be_v no_o sensible_a difference_n between_o the_o meridian_n of_o place_n that_o be_v less_o than_o one_o degree_n of_o longitude_n asunder_o and_o therefore_o the_o geographer_n as_o well_o as_o the_o astronomer_n allow_v a_o new_a meridian_n to_o every_o degree_n of_o the_o equator_fw-la which_o will_v be_v 180_o in_o all_o but_o except_o the_o globe_n be_v make_v of_o a_o extreme_a and_o a_o unusual_a diameter_n so_o many_o will_v stand_v too_o thick_a for_o the_o description_n therefore_o most_o common_o they_o put_v down_o but_o 18_o that_o be_v at_o 10_o degree_n distance_n from_o one_o another_o the_o special_a use_n of_o the_o lesser_a meridian_n being_n to_o make_v a_o quick_a dispatch_n in_o the_o account_n of_o the_o longitude_n other_o set_v down_o but_o 12_o at_o 15_o degree_n difference_n aim_v at_o this_o that_o the_o meridian_n might_n be_v distant_a
least_o denomination_n and_o so_o proceed_v according_a to_o the_o rule_n give_v example_n let_v it_o be_v require_v to_o convert_v 125_o degree_n of_o the_o sexagenary_a circle_n into_o their_o correspondent_a part_n in_o the_o decimal_n i_o say_v as_o 360_o be_v to_o 100_o so_o be_v 125_o to_o 34_o 722222_o etc._n etc._n that_o be_v 34_o degree_n and_o 722222_o part_n 2._o example_n let_v the_o decimal_n of_o 238_o degree_n 47_o minute_n be_v require_v in_o a_o whole_a circle_n there_o be_v 21600_o minute_n and_o in_o 238_o degree_n there_o be_v 14280_o minute_n to_o which_o 47_o be_v add_v the_o sum_n be_v 14327._o now_o than_o i_o say_v if_o 21600_o give_v 100_o what_o shall_v 14327._o the_o answ._n be_v 66_o 3287_o etc._n etc._n in_o like_a manner_n if_o it_o be_v require_v to_o convert_v the_o hour_n and_o minute_n of_o a_o day_n into_o decimal_a part_n say_v thus_o if_o 24_o hour_n give_v 100_o what_o shall_v any_o other_o number_n of_o hour_n give_v thus_o if_o the_o decimal_n of_o 18_o hour_n be_v require_v the_o answer_n will_v be_v 75_o and_o the_o decimal_n answer_v to_o 16_o hour_n 30_o minute_n be_v 68_o 75._o but_o if_o it_o be_v require_v to_o convert_v the_o decimal_n part_v of_o a_o circle_n into_o its_o correspondent_a part_n in_o sexagenary_a the_o proportion_n be_v as_o 100_o be_v to_o the_o decimal_n give_v so_o be_v 360_o to_o the_o sexagenary_a degree_n and_o part_n require_v example_n let_v the_o decimal_n give_v be_v 349_o 722222_o if_o you_o multiply_v this_o number_n give_v by_o 360_o the_o product_n will_v be_v 1249999992_o that_o be_v cut_v off_o 7_o figure_n 124_o degree_n and_o 9999992_o part_n of_o a_o degree_n if_o minute_n be_v require_v multiply_v the_o decimal_a part_n by_o 60_o and_o from_o the_o product_n cut_v off_o as_o many_o figure_n as_o be_v in_o the_o decimal_n part_v give_v the_o rest_n shall_v be_v the_o minute_n desire_v but_o to_o avoid_v this_o trouble_n i_o have_v here_o exhibit_v two_o table_n the_o one_o for_o convert_v sexagenary_a degree_n and_o minute_n into_o decimal_n and_o the_o contrary_n the_o other_o for_o convert_v hour_n and_o minute_n into_o decimal_n and_o the_o contrary_n the_o use_n of_o which_o table_n i_o will_v explain_v by_o example_n let_v it_o be_v require_v to_o convert_v 258_o degree_n 34′_n 47″_n into_o the_o part_n of_o a_o circle_n decimal_o divide_v the_o table_n for_o this_o purpose_n do_v consist_v of_o two_o leave_n the_o first_o leaf_n be_v divide_v into_o 21_o column_n of_o which_o the_o 1._o 3._o 5._o 7._o 9_o 11._o 13._o 15._o 17._o 19_o do_v contain_v the_o degree_n in_o a_o sexagenary_a circle_n the_o 2._o 4._o 6._o 8._o 10._o 12._o 14._o 16._o 18_o and_o 20_o do_v contain_v the_o degree_n of_o a_o circle_n decimal_o divide_v answer_v to_o the_o former_a and_o the_o last_o column_n do_v contain_v the_o decimal_a part_n to_o be_v annex_v to_o the_o decimal_a degree_n thus_o the_o decimal_a degree_n answer_v to_o 26_o sexagenary_a be_v 7_o and_o the_o part_n in_o the_o last_o column_n be_v 22222222_o and_o therefore_o the_o degree_n and_o part_n answer_v to_o 26_o sexagenary_a degree_n be_v 7._o 22222222._o in_o like_a manner_n the_o decimal_n of_o 62_o degree_n 17._o 22222222._o and_o the_o decimal_n of_o 258_o degree_n 34′_n 47″_n be_v thus_o find_v the_o decimal_n of_o 258_o degree_n be_v 71.66666666_o the_o decimal_n of_o 34_o minute_n be_v .15747040_o the_o decimal_n of_o 47_o second_n be_v .00362652_o their_o sum_n 71.82776358_o be_v the_o decimal_n of_o 258_o degree_n 34′_n 47″_n as_o be_v require_v in_o like_a mauner_n the_o decimal_n of_o any_o hour_n and_o minute_n may_v be_v find_v by_o the_o table_n for_o that_o purpose_n example_n let_v the_o decimal_n of_o 7_o hour_n 28′_n be_v require_v the_o decimal_n answer_v to_o 7h_n be_v 29.16666667_o the_o decimal_n of_o 28_o minute_n be_v 1.94444444_o the_o sum_n 31.11111111_o be_v the_o decimal_n seek_v to_o find_v the_o degree_n and_o minute_n in_o a_o sexagenary_a circle_n answer_v to_o the_o degree_n and_o part_n of_o a_o circle_n decimal_o divide_v be_v but_o the_o contrary_a work_n as_o if_o it_o be_v require_v to_o find_v the_o degree_n and_o minute_n answer_v to_o this_o decimal_n 71._o 02776359_o the_o degree_n or_o integer_n be_v seek_v in_o the_o 2._o 4._o 6_o or_o 8_o column_n etc._n etc._n of_o the_o first_o leaf_n of_o that_o table_n right_a against_o 71._o i_o find_v 256_o and_o in_o the_o last_o column_n these_o part_n 11111111_o which_o be_v less_o than_o the_o decimal_n give_v i_o proceed_v till_o i_o come_v to_o 6666667_o which_o be_v the_o near_a to_o my_o number_n give_v i_o find_v against_o these_o part_n under_o 71._o degree_n 258_o so_o then_o 258_o be_v the_o degree_n answer_v to_o the_o decimal_n give_v and_o to_o find_v the_o minute_n and_o second_o from_o 71.82776359_o i_o subtract_v the_o number_n in_o the_o table_n 71.66666667_o the_o remainder_n be_v 16109692_o which_o be_v seek_v in_o the_o next_o leaf_n under_o the_o title_n minute_n the_o next_o leaf_n be_v 11747640_o and_o the_o minute_n 34_o and_o this_o number_n be_v subtract_v the_o remainder_n be_v 00362652_o which_o be_v the_o decimal_n of_o 47_o second_n and_o so_o the_o degree_n and_o minute_n answer_v to_o the_o decimal_n give_v be_v 258_o degree_n 34′_n and_o 47″_n the_o like_a may_v be_v do_v for_o any_o other_o chap._n viii_o of_o the_o difference_n of_o meridiens_n have_v in_o the_o first_o part_n show_v how_o the_o place_n of_o the_o planet_n in_o the_o zodiac_n may_v be_v find_v by_o observation_n and_o how_o to_o reduce_v the_o time_n of_o a_o observation_n make_v in_o one_o country_n to_o the_o correspondent_a time_n in_o another_o as_o to_o the_o day_n of_o the_o month_n by_o consider_v the_o several_a measure_n of_o the_o year_n in_o several_a nation_n there_o be_v yet_o onething_a want_v which_o be_v by_o a_o observation_n make_v of_o a_o planet_n place_n in_o one_o country_n to_o find_v when_o the_o planet_n be_v in_o that_o place_n in_o reference_n to_o another_o as_o suppose_v the_o ☉_o by_o observation_n be_v find_v at_o vraniburg_n to_o be_v in_o ♈_o 3d._o 13′_n 14″_n march_v the_o fourteen_o 1583_o at_o what_o time_n be_v the_o sun_n in_o the_o same_o place_n at_o london_n to_o resolve_v this_o and_o the_o like_a question_n the_o longitude_n of_o place_n from_o some_o certain_a meridian_n must_v be_v know_v to_o which_o purpose_n i_o have_v here_o exhibit_v a_o table_n show_v the_o difference_n of_o meridian_n in_o hour_n and_o minute_n of_o most_o of_o the_o eminent_a place_n in_o england_n from_o the_o city_n of_o london_n and_o of_o some_o place_n beyond_o the_o sea_n also_o the_o use_n whereof_o be_v either_o to_o reduce_v the_o time_n give_v under_o the_o meridian_n of_o london_n to_o some_o other_o meridian_n or_o the_o time_n give_v in_o some_o other_o meridian_n to_o the_o meridian_n of_o london_n 1._o if_o it_o be_v require_v to_o reduce_v the_o time_n give_v under_o the_o meridian_n of_o london_n to_o some_o other_o meridian_n seek_v the_o place_n desire_v in_o the_o catalogue_n and_o the_o difference_n of_o time_n there_o find_v either_o add_v to_o or_o subtract_v from_o the_o time_n give_v at_o london_n according_a as_o the_o title_n of_o addition_n or_o subtraction_n show_v so_o will_v the_o time_n be_v reduce_v to_o the_o meridian_n of_o the_o other_o place_n as_o be_v require_v example_n the_o same_o place_n at_o london_n be_v in_o the_o first_o point_n of_o ♉_o 6_o hour_n p._n m._n and_o it_o be_v require_v to_o reduce_v the_o same_o to_o the_o meridian_n of_o vraniburg_n i_o therefore_o seek_v in_o vraniburg_n in_o the_o catalogue_n of_o place_n against_o which_o i_o find_v 50′_n with_o the_o letter_n a_o annex_v therefore_o i_o conclude_v that_o the_o sun_n be_v that_o day_n at_o vraniburg_n in_o the_o first_o point_n of_o ♉_o 6_o hour_n 50′_n p._n m._n 2._o if_o the_o time_n give_v be_v under_o some_o other_o meridian_n and_o it_o be_v require_v to_o reduce_v the_o same_o to_o the_o meridian_n of_o london_n you_o must_v seek_v the_o place_n give_v in_o the_o catalogue_n and_o the_o difference_n of_o time_n there_o find_v contrary_a to_o the_o title_n be_v to_o be_v add_v or_o subtract_v from_o the_o time_n there_o give_v example_n suppose_v the_o place_n of_o the_o sun_n have_v be_v at_o vraniburg_n at_o 6_o hour_n 50′_n p._n m._n and_o i_o will_v reduce_v the_o same_o to_o the_o meridian_n of_o london_n against_o vraniburg_n as_o before_o i_o find_v 50′_n a._n therefore_o contrary_a to_o the_o title_n i_o subtract_v 50′_n and_o the_o remainder_n 6_o hour_n be_v the_o time_n of_o the_o sun_n place_n in_o the_o meridian_n of_o london_n chap._n ix_o of_o the_o theory_n of_o the_o
sun_n be_v or_o earth_n motion_n in_o the_o first_o part_n of_o this_o treatise_n we_o have_v speak_v of_o the_o primary_n motion_n of_o the_o planet_n and_o star_n as_o they_o be_v wheel_v about_o in_o their_o diurnal_a motion_n from_o east_n to_o west_n but_o here_o we_o be_v to_o show_v their_o own_o proper_a motion_n in_o their_o several_a orb_n from_o west_n to_o east_n which_o we_o call_v their_o second_o motion_n 1._o and_o these_o orb_n be_v suppose_v to_o be_v elliptical_a as_o the_o ingenious_a repler_n by_o the_o help_n of_o tycho_n accurate_a observation_n have_v demonstrate_v in_o the_o motion_n of_o mars_n and_o mercury_n and_o may_v therefore_o be_v conceive_v to_o be_v the_o figure_n in_o which_o the_o rest_n do_v move_v 2._o here_o than_o we_o be_v to_o consider_v what_o a_o ellipsis_n be_v how_o it_o may_v be_v draw_v and_o by_o what_o method_n the_o motion_n of_o the_o planet_n according_a to_o that_o figure_n may_v be_v compute_v 3._o what_o a_o ellipsis_n be_v apollonius_n pergaeus_n in_o conicis_fw-la claudius_n mydorgius_n and_o other_o have_v well_o define_v and_o explain_v but_o here_o i_o think_v it_o sufficient_a to_o tell_v the_o reader_n that_o it_o be_v a_o long_a circle_n or_o a_o circular_a line_n draw_v within_o or_o without_o a_o long_a square_n or_o a_o circular_a line_n draw_v between_o two_o circle_n of_o different_a diameter_n 4._o the_o usual_a and_o mechanical_a way_n of_o draw_v this_o ellipsis_n be_v thus_o first_o draw_v a_o line_n to_o that_o length_n which_o you_o will_v have_v the_o great_a diameter_n to_o be_v as_o the_o line_n ap_n in_o figure_n 8_o and_o from_o the_o middle_n of_o this_o line_n at_o x_o set_v off_o with_o your_o compass_n the_o equal_a distance_n xm_o and_o xh_n 5._o then_o take_v a_o piece_n of_o thread_n of_o the_o same_o length_n with_o the_o diameter_n ap_n and_o fasten_v one_o end_n thereof_o in_o the_o point_n m_o and_o the_o other_o in_o the_o point_n h_n and_o with_o your_o pen_n extend_v the_o thread_n thus_o fasten_v to_o the_o point_n a_o and_o from_o thence_o towards_o p_o keep_v the_o thread_n stiff_a upon_o your_o pen_n draw_v a_o line_n from_o a_o by_o b_o to_o p_o the_o line_n so_o draw_v shall_v be_v half_a a_o ellipsis_n and_o in_o like_a manner_n you_o may_v draw_v the_o other_o half_a from_o p_o by_o d_o to_z a._n in_o which_o because_o the_o whole_a thread_n be_v equal_a to_o the_o diameter_n ap._n therefore_o the_o two_o line_n make_v by_o thread_n in_o draw_v of_o the_o ellipsis_n must_v in_o every_o point_n of_o the_o say_a ellipsis_n be_v also_o equal_a to_o the_o same_o diameter_n ap._n they_o that_o desire_v a_o demonstration_n thereof_o geometrical_o may_v consult_v apollonius_n pergaeus_n claudius_n mydorgius_n or_o other_o in_o their_o treatise_n of_o conical_a section_n this_o be_v sufficient_a for_o our_o present_a purpose_n and_o from_o the_o equality_n of_o these_o two_o line_n with_o the_o diameter_n a_o brief_a method_n of_o calculation_n of_o the_o planet_n place_n in_o a_o ellipsis_n be_v thus_o demonstrate_v by_o dr._n ward_n now_o bishop_n of_o salisbury_n 6._o in_o this_o ellipsis_n h_n denote_v the_o place_n of_o the_o sun_n centre_n to_o which_o the_o true_a motion_n of_o the_o planet_n be_v refer_v m_o the_o other_o focus_n whereunto_o the_o equal_a or_o middle_a motion_n be_v number_v a_o the_o aphelion_n where_o the_o planet_n be_v far_a distant_a from_o the_o sun_n and_o slow_a in_o motion_n p_o the_o perihelion_n where_o the_o planet_n be_v near_a the_o sun_n and_o slow_a in_o motion_n in_o the_o point_v a_o and_o p_o the_o line_n of_o the_o mean_a and_o true_a motion_n do_v convene_v and_o therefore_o in_o either_o of_o these_o place_n the_o planet_n be_v from_o p_o in_o equality_n but_o in_o all_o other_o point_v the_o mean_a and_o true_a motion_n differ_v and_o in_o d_o and_o c_o be_v the_o great_a elliptic_a aequation_n 8._o now_o suppose_v the_o planet_n in_o b_o the_o line_n of_o the_o middle_a motion_n according_a to_o this_o figure_n be_v mb_a the_o line_n of_o the_o true_a motion_n hb_n the_o mean_a anomaly_n amb._n the_o eliptick_a aequation_n or_o prosthaphaeresis_fw-la mbh_n which_o in_o this_o example_n subtract_v from_o ambiguity_n the_o remainder_n ahb_n be_v the_o true_a anomaly_n and_o here_o note_v that_o in_o the_o right_n line_v triangle_n mbh_n the_o side_n mh_o be_v always_o the_o same_o be_v the_o distance_n of_o the_o foci_fw-la the_o other_o two_o side_n mb_a and_o hb_n be_v together_o equal_a to_o ap._n now_o then_o if_o you_o continue_v the_o side_n mb_n till_o be_v be_v equal_a to_o bh_n and_o draw_v the_o line_n he_o in_o the_o right_n line_v triangle_n meh_n we_o have_v give_v i_o =_o ad_fw-la and_o mh_o with_o the_o angle_n emh_o to_o find_v the_o angles_n meh_n and_o mhe_n which_o in_o this_o case_n be_v equal_a because_o ebb_v =_o bh_n by_o contraction_n and_o therefore_o the_o double_a of_o beh_n or_o bhe_n =_o mbh_n which_o be_v the_o angle_n require_v and_o that_o which_o yet_o remain_v to_o be_v do_v be_v the_o find_v the_o place_n of_o the_o aphelion_n the_o true_a excentricity_n or_o distance_n of_o the_o umbilique_a point_n and_o the_o state_v of_o the_o planet_n middle_a motion_n chap._n x._o of_o the_o find_n of_o the_o sun_n apogeon_n quantity_n of_o excentricity_n aend_v middle_a motion_n the_o place_n of_o the_o sun_n apogaeon_fw-mi and_o quantity_n of_o excentricity_n may_v from_o the_o observation_n of_o our_o country_n man_n mr._n edward_n wright_n be_v obtain_v in_o this_o manner_n in_o the_o year_n 1596_o and_o 1497_o the_o sun_n entrance_n into_o ♈_o and_o ♎_o and_o into_o the_o midst_n of_o ♉_o ♌_o â™_o and_o â™’_o be_v as_o in_o the_o table_n follow_v express_v  _fw-fr 1596_o 1597_o  _fw-fr  _fw-fr d._n h._n m._n d._n h._n m._n  _fw-fr january_n 25._o 00.07_o 24._o 05.54_o â™’_o 15_o march_n 9_o 18.43_o 10._o 00.37_o ♈_o 0_o april_n 24._o 21.47_o 25._o 03.54_o ♉_o 15_o july_n 28._o 01.43_o 28._o 09.56_o ♌_o 15_o september_n 12._o 13.48_o 12._o 19.15_o ♎_o 0_o october_n 27._o 15.23_o 27._o 21.50_o â™_o 15_o and_o hence_o the_o sun_n continuance_n in_o the_o northern_a semicircle_n from_o ♈_o to_o ♎_o in_o the_o year_n 1596_o be_v leap_v year_n be_v thus_o find_v  _fw-fr d._n h._n from_o the_o 1._o of_o january_n to_o ☉_o entrance_n ♎_o 256._o 13._o 48._o from_o the_o 1._o of_o jun_n to_o ☉_o entrance_n ♈_o 69._o 18.43_o their_o difference_n 186._o 19.05_o in_o the_o year_n 1597_o from_o the_o 1_o of_o january_n to_o the_o time_n of_o the_o ☉_o entrance_n into_o ♎_o 255._o 19.15_o to_o the_o ☉_o entrance_n into_o ♈_o 69._o 09.37_o their_o difference_n be_v 186._o 18.38_o and_o the_o difference_n of_o the_o sun_n continuance_n in_o these_o ark_n in_o the_o year_n 1596_o and_o 1597_o be_v 27′_n and_o therefore_o the_o mean_a time_n of_o his_o continuance_n in_o those_o ark_n be_v day_n 186._o hour_n 18._o minute_n 51._o second_o 30._o and_o by_o consequence_n his_o continuance_n in_o the_o southern_a semicircle_n that_o be_v from_o ♎_o to_o ♈_o be_v 178_o day_n 11_o hour_n 8_o minute_n and_o 30_o second_n in_o like_a manner_n in_o the_o year_n 1596_o between_o his_o entrance_n into_o ♉_o 15._o and_o â™_o 15_o there_o be_v day_n 185._o 17.36_o and_o in_o the_o year_n 1597_o there_o be_v day_n 185._o 17.56_o and_o to_o find_v the_o middle_a motion_n answer_v to_o day_n 186._o hour_n 18._o minute_n 51._o second_o 30_o i_o say_v as_o 365_o day_n 6_o hour_n the_o length_n of_o the_o julian_n year_n be_v to_o 360_o the_o degree_n in_o a_o circle_n so_o be_v 186_o day_n 18_o hour_n 51′_n 30″_n to_o 184_o degree_n 03′_n 56″_n in_o like_a manner_n the_o mean_a motion_n answer_v to_o 185_o day_n 17_o h._n 46′_n be_v 183_o degree_n 02′_n 09_o apparent_a motion_n from_o ♈_o to_o ♎_o 180._o 00.00_o middle_a motion_n 184._o 03.56_o their_o sum_n 364._o 03.56_o half_a sum_n be_v the_o arch._n sme_o 182._o 01.58_o in_o 1596_o from_o 15_o â™’_o to_o 15_o ♌_o there_n be_v day_n 185_o hour_n 01_o minute_n 36._o in_o 1597._o day_n 135._o hour_n 4._o 02′_n and_o the_o mean_a motion_n answer_v thereunto_o be_v 182_o d._n 30′_n 36″_n apparent_a motion_n from_o 15_o ♉_o to_o 15_o â™_o 180._o middle_a motion_n 185._o 17._o 56._o 181._o 04.53_o half_a sum_n be_v 183._o 32._o 26_o from_o 15_o â™’_o to_o 15_o ♌_o days_n 185._o 04_o h._n 02′_n apparent_a motion_n 180._o middle_a motion_n 182._o 30._o 36_o half_a sum_n 181._o 15._o 18_o now_o then_o in_o fig._n from_o pgc._n 181._o 32._o 26_o deduct_v nkd_v 180_o the_o remainder_n be_v dc+np_n 1._o 32._o 26._o therefore_o dc_o or_o np._n 46._o 13_o who_o sine_fw-la be_v ha._n and_o from_o xpg._n 181._o 15._o 18_o deduct_v
to_o reduce_v her_o place_n from_o she_o orbit_n to_o the_o ecliptic_a chap._n 19_o to_o find_v the_o mean_a conjunction_n and_o opposition_n of_o the_o sun_n and_o moon_n the_o four_o part_n or_o a_o introduction_n to_o geography_n chap._n 1._o of_o the_o nature_n and_o division_n of_o geography_n chap._n 2._o of_o the_o distinction_n or_o dimension_n of_o the_o earthly_a globe_n by_o zone_n and_o climate_n chap._n 3._o of_o europe_n chap._n 4._o of_o asia_n chap._n 5._o of_o africa_n chap._n 6._o of_o america_n chap._n 7._o of_o the_o description_n of_o the_o terrestrial_a globe_n by_o map_n universal_a and_o particular_a a_o table_n of_o the_o view_n of_o the_o most_o notable_a epochas_n the_o julian_n calendar_n page_n 461_o the_o gregorian_a calendar_n 466_o a_o table_n to_o convert_v sexagenary_a degree_n and_o minute_n into_o decimal_n and_o the_o contrary_n 476_o a_o table_n convert_v hour_n and_o minute_n into_o degree_n and_o minute_n of_o the_o aequator_fw-la 480_o a_o table_n of_o the_o longitude_n and_o latitude_n of_o some_o of_o the_o most_o eminent_a city_n and_o town_n in_o england_n and_o ireland_n 482_o a_o table_n of_o the_o sun_n mean_a longitude_n and_o anomaly_n in_o both_o egyptian_a and_o julian_n year_n month_n day_n hour_n and_o minute_n 484_o table_n of_o the_o moon_n mean_a motion_n 493_o a_o catalogue_n of_o some_o of_o the_o most_o notable_a fix_a star_n according_a to_o the_o observation_n of_o tycho_n brahe_n rectify_v to_o the_o year_n 1601._o 511_o book_n print_v for_o and_o sell_v by_o thomas_n passenger_n at_o the_o three_o bibles_n on_o the_o middle_n of_o london-bridge_n the_o element_n of_o the_o mathematical_a art_n common_o call_v algebra_n expound_v in_o four_o book_n by_o john_n kersey_n in_o two_o vol._n fol._n a_o mirror_n or_o looking-glass_n for_o saint_n and_o sinner_n show_v the_o justice_n of_o god_n on_o the_o one_o and_o his_o mercy_n towards_o the_o other_o set_v forth_o in_o some_o thousand_o of_o example_n by_o sam._n clark_n in_o two_o vol._n fol._n the_o mariner_n magazine_n by_o capt._n sam._n sturmy_n fol._n military_a and_o maritime_a discipline_n in_o three_o book_n by_o capt._n tho._n kent_n fol._n dr._n cudworth_n universal_a systeme_n the_o triumph_n of_o god_n revenge_n against_o the_o cry_v and_o execrable_a sin_n of_o wilful_a and_o premeditate_a murder_n by_o john_n reynolds_n fol._n royal_a and_o practical_a chemistry_n by_o oswaldus_n crollius_n and_o john_n hartman_n faithful_o render_v into_o english_a fol._n practical_a navigation_n by_o john_n seller_n quarto_fw-la the_o history_n of_o the_o church_n of_o great_a britain_n from_o the_o birth_n of_o our_o saviour_n until_o the_o year_n of_o our_o lord_n 1667._o quarto_fw-la the_o ecclesiastical_a history_n of_o france_n from_o the_o first_o plantation_n of_o christianity_n there_o unto_o this_o time_n quarto_fw-la the_o book_n of_o architecture_n by_o andrea_n palladio_n quarto_fw-la the_o mirror_n of_o architecture_n or_o the_o ground_n rule_v of_o the_o art_n of_o building_n by_o vincent_n scammozi_n quarto_fw-la trigonometry_n on_o the_o doctrine_n of_o triangle_n by_o rich._n norwood_n quarto_fw-la markham_n masterpiece_n revive_v contain_v all_o knowledge_n belong_v to_o the_o smith_n farrier_n or_o horse-leach_n touch_v the_o cure_n of_o all_o disease_n in_o horse_n quarto_fw-la collins_n sector_n on_o a_o quadrant_n quarto_fw-la the_o famous_a history_n of_o the_o destruction_n of_o troy_n in_o three_o book_n quarto_fw-la safeguard_v of_o sailor_n quarto_fw-la norwood_n seaman_n companion_n quarto_fw-la geometrical_a seaman_n quarto_fw-la a_o plain_a and_o familiar_a exposition_n of_o the_o ten_o commandment_n by_o john_n dod_n quarto_fw-la the_o mariner_n new_a calendar_n quarto_fw-la the_o seaman_n calendar_n quarto_fw-la the_o seaman_n practice_n quarto_fw-la the_o honour_n of_o chivalry_n do_v the_o famous_a and_o delectable_a history_n of_o don_n belianus_fw-la of_o greece_n quarto_fw-la the_o history_n of_o amadis_n de_fw-fr gaul_n the_o five_o part_n quarto_fw-la the_o seaman_n dictionary_n quarto_fw-la the_o complete_a cannonier_n quarto_fw-la seaman_n glass_n quarto_fw-la complete_a shipwright_n quarto_fw-la the_o history_n of_o valentine_n and_o orson_n quarto_fw-la the_o complete_a modellist_n quarto_fw-la the_o boat-swain_n art_n quarto_fw-la pilot_n sea-mirror_n quarto_fw-la the_o famous_a history_n of_o montelion_fw-mi knight_n of_o the_o oracle_n quarto_fw-la the_o history_n of_o palladine_n of_o england_n quarto_fw-la the_o history_n of_o cleocretron_n and_o cloriâ—ma_n quarto_fw-la the_o arralgnment_n of_o low_a idle_a froward_a and_o unconstant_a woman_n quarto_fw-la the_o pleasant_a history_n of_o jack_n of_o newbâ—â—y_n quarto_fw-la fillip_v mathematical_a manual_n octavo_n a_o prospect_n of_o heaven_n or_o a_o treatise_n of_o the_o happiness_n of_o the_o saint_n in_o glory_n oct_n etymologicunt_fw-la parvum_fw-la oct_n thesaurus_fw-la astrologiae_fw-la or_o a_o astrological_a treasury_n by_o john_n gadbury_n oct_n gellibrand_n '_o be_v epitome_n oct_n the_o english_a academy_n or_o a_o brief_a introduction_n to_o the_o seven_o liberal_a art_n by_o john_n newton_n d._n d._n oct_n the_o best_a exercise_n for_o christian_n in_o the_o worst_a time_n by_o i._o h._n oct_n a_o seasonable_a discourse_n of_o the_o right_a use_n and_o abuse_v of_o reason_n in_o matter_n of_o religion_n oct_n the_o mariner_n compass_n rectify_v oct_n norwood_n '_o s_o epitome_n oct_n chemical_a essay_n by_o john_n beguinus_n oct_n a_o spiritual_a antidote_n against_o sinful_a contagion_n by_o tho._n doolittle_n oct_n monastieon_n fevershamiense_n or_o a_o description_n of_o the_o abbey_n of_o feversham_n oct_n scarborough_n '_o s_o spa_n oct_n french_a schoolmaster_n oct_n the_o poem_n of_o ben._n johnson_n junior_a oct_n a_o book_n of_o knowledge_n in_o three_o part_n oct_v the_o book_n of_o palmistry_n oct_n farnaby_n '_o s_z epigramm_v oct_n the_o huswife_n companion_n and_o the_o husbandman_n guide_n oct_v jovial_a garland_n oct_n cocker_n '_o s_o arithmetic_n twelve_o the_o path_n way_n to_o health_n twelve_o hall_n '_o s_z soliloquy_n twelves_o the_o complete_a servant_n maid_n or_o the_o young_a maiden_n tutor_n twelve_o newton_n introduction_n to_o the_o art_n of_o logic_n twelve_o newton_n introduction_n to_o the_o art_n of_o rhetoric_n twelve_o the_o anatomy_n of_o popery_n or_o a_o catalogue_n of_o popish_a error_n in_o doctrine_n and_o corruption_n in_o worship_n twelve_o the_o famous_a history_n of_o the_o five_o wise_a philosopher_n contain_v the_o life_n of_o jehosophat_n the_o hermit_n twelves_o the_o exact_a constable_n with_o his_o original_a and_o power_n in_o all_o case_n belong_v to_o his_o office_n twelve_o the_o complete_a academy_n or_o a_o nursery_n of_o compliment_n twelves_o heart_n salve_n for_o a_o wound_a soul_n and_o eye_n salve_v for_o a_o blind_a world_n by_o tho._n calvert_n twelve_o pilgrim_n port_n or_o the_o weary_a man_n rest_n in_o the_o grave_a twelve_o christian_n devotion_n or_o a_o manual_a of_o prayer_n twelves_o the_o mariner_n divine_a mate_n twelve_o at_o cherry_n garden_n stair_n on_o rotherhith_n wall_n be_v teach_v these_o mathematical_a science_n viz._n arithmetic_n algebra_n geometry_n trigonometry_n survey_v navigation_n dyall_v astronomy_n gauge_v gunnery_n and_o fortification_n the_o use_n of_o the_o globe_n and_o other_o mathematical_a instrument_n the_o projection_n of_o the_o sphere_n on_o any_o circle_n etc._n etc._n he_o make_v and_o sell_v all_o sort_n of_o mathematical_a instrument_n in_o wood_n and_o brass_n for_o sea_n and_o land_n with_o book_n to_o show_v the_o use_n of_o they_o where_o you_o may_v have_v all_o sort_n of_o map_n plait_n sea-chart_n in_o plain_a and_o mercator_n on_o reasonable_a term_n by_o james_n atkinson_n finis_fw-la