Selected quad for the lemma: end_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
end_n land_n north_n south_n 1,641 5 9.2757 5 true
View all documents for the selected quad

Text snippets containing the quad

ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A18028 Geographie delineated forth in two bookes Containing the sphericall and topicall parts thereof, by Nathanael Carpenter, Fellow of Exceter Colledge in Oxford. Carpenter, Nathanael, 1589-1628? 1635 (1635) STC 4677; ESTC S107604 387,148 599

There are 10 snippets containing the selected quad. | View original text

the_o inhabitant_n of_o a_o right_a sphere_n in_o respect_n of_o the_o heaven_n have_v the_o same_o accident_n these_o accident_n be_v chief_o four_o 1_o they_o enjoy_v a_o perpetual_a equinoctial_a have_v their_o day_n and_o night_n always_o equal_a the_o one_o to_o the_o other_o because_o the_o sun_n never_o swerve_v from_o his_o ecliptic_a have_v his_o course_n equal_o divide_v by_o the_o horizon_n 2_o with_o they_o all_o the_o star_n equal_o set_v and_o rise_v because_o all_o the_o parallel_n wherein_o the_o star_n make_v their_o diurnal_a revolution_n be_v equal_o cut_v of_o the_o horizon_n 3_o to_o they_o the_o sun_n be_v twice_o in_o the_o year_n vertical_a that_o be_v direct_o over_o their_o head_n and_o twice_o againein_o the_o year_n solstitial_a the_o former_a in_o the_o first_o degree_n of_o aries_n and_o libra_n the_o latter_a in_o the_o first_o degree_n of_o cancer_n and_o capricorn_n which_o diverse_a proposition_n of_o the_o sun_n some_o late_a geographer_n have_v term_v four_o solstice_n two_o high_a and_o two_o low_a 4_o hence_o come_v it_o to_o pass_v that_o they_o yearly_o enjoy_v two_o winter_n and_o two_o summer_n likewise_o two_o spring_n and_o two_o autumn_n their_o summer_n when_o the_o sun_n be_v to_o they_o vertical_a their_o winter_n when_o it_o be_v seat_v in_o either_o of_o the_o tropic_n their_o spring_n and_o autumn_n while_o the_o sun_n be_v pass_v through_o the_o middle_a space_n betwixt_o both_o 5_o the_o people_n inhabit_v a_o oblique_a sphere_n be_v such_o who_o horizon_n be_v oblique_a the_o propriety_n belong_v unto_o they_o be_v either_o general_n or_o special_a 6_o the_o general_n be_v such_o as_o agree_v to_o all_o those_o which_o inhabit_v a_o oblique_a sphere_n 1_o all_o the_o inhabitant_n of_o a_o oblique_a sphere_n agree_v in_o two_o propriety_n these_o two_o propriety_n wherein_o they_o agree_v be_v these_o 1_o to_o all_o the_o inhabitant_n without_o the_o equatour_n under_o what_o parallel_n soever_o the_o day_n be_v equal_a to_o the_o night_n only_o twice_o in_o a_o year_n to_o wit_n either_o in_o the_o begin_n of_o the_o spring_n or_o the_o begin_n of_o the_o autumn_n at_o other_o time_n either_o the_o day_n increase_v above_o the_o night_n as_o in_o the_o summer_n or_o grow_v lesser_a as_o in_o the_o winter_n 2_o to_o these_o inhabitant_n some_o star_n be_v perpetual_o see_v as_o such_o which_o be_v near_o the_o pole_n to_o which_o they_o incline_v some_o be_v never_o see_v as_o such_o as_o be_v far_a off_o from_o the_o say_a pole_n some_o rise_n and_o set_v which_o be_v those_o which_o be_v in_o the_o middle_a space_n betwixt_o both_o which_o be_v sometime_o visible_a and_o sometime_o lie_v hide_v 7_o the_o special_a accident_n of_o a_o oblique_a horizon_n be_v such_o as_o agree_v to_o special_a place_n in_o the_o same_o sphere_n 1_o the_o inhabitant_n of_o a_o oblique_a sphere_n of_o five_o sort_n enjoy_v so_o many_o correspondent_a property_n the_o first_o sort_n be_v of_o those_o who_o zenith_n be_v betwixt_o the_o equator_fw-la and_o one_o of_o the_o tropicke_n even_o unto_o the_o 23._o degree_n 30._o scruple_n of_o elevation_n of_o the_o pole_n in_o such_o a_o sort_n towards_o the_o north_n betwixt_o the_o line_n and_o the_o tropic_n of_o cancer_n be_v place_v the_o inhabitant_n of_o zeilan_n the_o extreme_a part_n of_o the_o east_n indies_n hispaniola_n guinea_n nubia_n with_o some_o part_n of_o arabia_n foelix_fw-la and_o all_o other_o place_n betwixt_o the_o equatour_n and_o the_o tropic_n of_o cancer_n in_o the_o torride_a zone_n towards_o the_o south_n in_o the_o same_o latitude_n be_v place_v the_o brasilian_n the_o perwians_n the_o javans_n with_o many_o other_o the_o accident_n which_o happen_v unto_o these_o nation_n be_v these_o 1._o they_o may_v see_v all_o the_o star_n except_o a_o few_o which_o be_v near_o the_o pole_n 2._o their_o day_n and_o night_n be_v somewhat_o unequal_a so_o that_o their_o long_a day_n or_o long_a night_n be_v not_o always_o of_o the_o same_o quantity_n 3._o twice_o in_o the_o year_n they_o have_v the_o sunne-verticall_a but_o without_o the_o equatour_n 4._o they_o have_v two_o summer_n and_o two_o winter_n but_o not_o equal_o temper_v 5._o the_o length_n of_o their_o long_a day_n reach_v to_o 13._o ½_o hour_n the_o second_o sort_n be_v such_o as_o inhabit_v under_o the_o tropic_n itself_o who_o elevation_n of_o the_o pole_n be_v equal_a to_o the_o great_a declination_n of_o the_o sun_n which_o be_v 23._o degree_n 30_o scruple_n under_o the_o tropic_n of_o cancer_n be_v place_v a_o great_a part_n of_o arabia_n foelix_fw-la east_n india_n the_o southern_a part_n of_o china_n the_o high_a part_n of_o egypt_n and_o see_z under_o the_o tropic_n of_o capricorn_n be_v place_v the_o people_n of_o monomotapa_n and_o madagascar_n with_o other_o place_n the_o accident_n belong_v unto_o they_o be_v these_o 1._o to_o they_o appear_v all_o the_o star_n comprehend_v in_o one_o of_o the_o circle_n but_o none_o of_o the_o other_o as_o for_o example_n to_o those_o inhabit_v the_o tropic_n of_o cancer_n the_o star_n include_v within_o the_o arctic_a circle_n always_o appear_v but_o never_o those_o which_o be_v in_o the_o antarcticke_a likewise_o to_o those_o which_o dwell_v under_o the_o tropic_n of_o capricorn_n all_o the_o star_n appear_v which_o be_v contain_v within_o the_o antarctic_a circle_n but_o none_o of_o those_o include_v within_o the_o arctic_a circle_n 2._o by_o how_o much_o near_o the_o sun_n approach_v to_o their_o zenith_n or_o vertical_a point_n by_o so_o much_o be_v their_o day_n lengthen_v and_o by_o how_o much_o far_o it_o go_v off_o by_o so_o much_o be_v they_o shorten_v so_o that_o they_o enjoy_v then_o their_o long_a day_n when_o the_o sun_n direct_o pass_v by_o their_o zenith_n 3._o to_o they_o the_o sun_n be_v vertical_a but_o once_o in_o the_o year_n to_o wit_n to_o those_o under_o the_o tropic_n of_o cancer_n when_o the_o sun_n enter_v into_o the_o sign_n as_o to_o the_o other_o when_o it_o touch_v the_o first_o degree_n of_o capricorn_n 4._o they_o have_v but_o one_o summer_n and_o one_o winter_n throughout_o the_o year_n the_o three_o sort_n be_v such_o inhabitant_n as_o dwell_v in_o one_o of_o the_o temperate_a zone_n betwixt_o the_o tropic_n and_o the_o polar_a circle_n from_o 24._o degree_n of_o elevation_n to_o 66._o degree_n 30._o scruple_n such_o inhabitant_n towards_o the_o north_n be_v as_o we_o have_v show_v almost_o all_o the_o inhabitant_n of_o europe_n asia_n maior_fw-la and_o part_n of_o africa_n as_o on_o the_o other_o side_n towards_o the_o south_n the_o chylienses_n the_o farthermost_a african_n and_o those_o that_o dwell_v near_o the_o strait_n of_o magellane_n their_o property_n be_v chief_o these_o 1._o many_o star_n be_v by_o they_o always_o see_v and_o many_o never_o appear_v 2._o their_o day_n notable_o differ_v in_o inequality_n 3._o the_o sun_n never_o arrive_v at_o their_o zenith_n but_o be_v always_o on_o the_o south_n of_o those_o which_o inhabit_v betwixt_o the_o tropic_n of_o cancer_n and_o the_o arctic_a circle_n and_o always_o on_o the_o north_n side_n of_o such_o as_o dwell_v in_o the_o opposite_a temperate_a zone_n 4._o they_o have_v in_o the_o year_n but_o one_o summer_n and_o winter_n but_o by_o reason_n of_o the_o diversity_n of_o place_n much_o unequal_a for_o where_o the_o elevation_n of_o the_o pole_n be_v great_a the_o winter_n be_v much_o hard_a but_o where_o it_o be_v lesser_a it_o be_v more_o temperate_a the_o four_o kind_n of_o inhabitant_n be_v those_o which_o reside_v under_o the_o polar_a circle_n which_o be_v their_o zenith_n where_o the_o temperate_a zone_n end_n and_o the_o cold_a begin_v where_o the_o elevation_n of_o the_o pole_n be_v beyond_o 66._o degree_n 30._o minute_n in_o which_o tract_n lie_v nova_fw-la zembla_n with_o many_o other_o land_n not_o yet_o well_o discover_v in_o the_o north_n and_o perhaps_o as_o many_o more_o under_o the_o antarctic_a circle_n towards_o the_o south_n less_o know_v than_o the_o other_o the_o accident_n belong_v to_o they_o be_v these_o 1._o those_o which_o inhabit_v under_o the_o arctic_a circle_n see_v all_o the_o star_n include_v within_o the_o tropic_n of_o cancer_n but_o never_o those_o within_o the_o tropic_n of_o capricorn_n likewise_o those_o which_o live_v under_o the_o antarcticke_a circle_n see_v all_o the_o star_n within_o the_o tropic_n of_o capricorn_n but_o never_o those_o within_o the_o other_o tropic_n of_o cancer_n 2._o their_o long_a day_n at_o midsummer_n be_v 24._o hour_n their_o night_n then_o be_v but_o a_o moment_n likewise_o their_o long_a night_n as_o at_o midwinter_n be_v but_o 24._o hour_n their_o day_n pass_v not_o a_o moment_n 3._o the_o centre_n of_o the_o sun_n every_o year_n twice_o touch_v at_o their_o orison_n 4._o the_o
moon_n and_o star_n with_o their_o true_a motion_n period_n and_o limit_n be_v show_v to_o the_o sight_n in_o such_o sort_n as_o if_o it_o be_v natural_a whereof_o claudian_n the_o poet_n elegant_o write_v in_o these_o verse_n claudian_n in_o epigrammat_n jupiter_n in_o paruo_fw-la cum_fw-la cerneret_fw-la aethera_fw-la vitro_fw-la risit_fw-la &_o ad_fw-la superos_fw-la talia_fw-la dicta_fw-la dedit_fw-la huccine_fw-la mortalis_fw-la progressa_fw-la potentia_fw-la curae_fw-la jam_fw-la meus_fw-la infragili_fw-la ●uditur_fw-la orbe_fw-la labour_n jura_n poli_fw-fr rerumque_fw-la fidem_fw-la legésque_fw-la deorum_fw-la ecce_fw-la syracusius_n transtulit_fw-la arte_fw-la senex_fw-la inclusus_fw-la varijs_fw-la famulatur_fw-la spiritus_fw-la astris_fw-la et_fw-la viwm_fw-la certis_fw-la motibus_fw-la urget_fw-la opus_fw-la percurrit_fw-la proprium_fw-la mentitus_fw-la signifer_fw-la annum_fw-la et_fw-la simulata_fw-la novo_fw-la cynthia_n mense_fw-la redit_fw-la jamque_fw-la suum_fw-la voluens_fw-la audax_fw-la industria_fw-la mundum_fw-la gaudet_n &_o humana_fw-la sidera_fw-la ment_fw-la regi_fw-la quid_fw-la falso_fw-la insontem_fw-la tonitru_fw-la salmonea_fw-la miror_fw-la aemula_fw-la naturae_fw-la parua_fw-la reperta_fw-la manus_fw-la in_o a_o small_a glass_n when_o jove_n behold_v the_o sky_n he_o smile_v and_o thus_o unto_o the_o god_n reply_n can_v man_n so_o far_o extend_v his_o studious_a care_n to_o mock_v my_o labour_n in_o a_o brittle_a sphere_n heaven_n law_n man_n way_n and_o nature_n sovereign_a right_n this_o stage_n of_o syracuse_n translate_v to_o sight_n a_o soul_n within_o on_o various_a star_n attend_v and_o move_v the_o quicke-worke_n unto_o certain_a end_n a_o feign_v zodiac_n run_v his_o proper_a year_n and_o a_o false_a cynthia_n make_v new_a month_n appear_v and_o now_o bold_a art_n take_v on_o she_o to_o command_v and_o rule_v the_o heavenly_a star_n with_o humane_a hand_n who_o can_v admire_v salmonean_a harmless_a thunder_n when_o a_o flight_n hand_n stir_v nature_n up_o to_o wonder_v but_o this_o sphere_n of_o archimedes_n i_o take_v to_o be_v more_o than_o a_o ordinary_a globe_n common_o use_v among_o we_o as_o may_v appear_v by_o the_o poet_n description_n so_o that_o it_o may_v rather_o be_v liken_v to_o the_o sphere_n late_o compose_v by_o cornelius_n trebelius_n and_o present_v unto_o king_n james._n the_o like_a whereof_o peter_n ramus_n say_v he_o see_v two_o at_o paris_n yet_o not_o of_o glass_n but_o of_o iron_n the_o one_o of_o which_o ruellius_n the_o physician_n bring_v from_o the_o spoil_n of_o sicily_n the_o other_o of_o which_o orontius_n the_o mathematician_n recover_v likewise_o from_o the_o german_a war_n but_o of_o such_o kind_n of_o globe_n have_v never_o yet_o have_v the_o happiness_n to_o see_v any_o i_o intend_v no_o description_n in_o the_o mean_a time_n our_o common_a geographical_a globe_n may_v well_o serve_v our_o turn_n 4_o in_o the_o terrestrial_a globe_n two_o thing_n be_v to_o be_v consider_v 1_o the_o fabric_n or_o structure_n 2_o the_o use_n 3_o the_o direction_n in_o the_o former_a be_v teach_v the_o composition_n of_o the_o globe_n by_o resolve_v of_o it_o into_o its_o part_n 1_o the_o part_n whereof_o the_o globe_n be_v geographical_o compound_v be_v circle_n and_o picture_n to_o explain_v the_o true_a composition_n of_o the_o artificial_a globe_n not_o physical_o as_o it_o consist_v of_o timber_n and_o mettle_n but_o geographical_o as_o it_o represent_v the_o earth_n we_o be_v to_o consider_v that_o the_o part_n of_o it_o be_v either_o external_a or_o internal_a external_a i_o call_v those_o part_n which_o be_v without_o the_o sphere_n itself_o yet_o necessary_o concur_v to_o the_o constitution_n of_o it_o these_o part_n be_v such_o as_o concur_v to_o the_o make_n of_o the_o stock_n or_o frame_n whereunto_o our_o sphere_n be_v set_v where_o to_o let_v pass_v the_o foot_n or_o low_a board_n wherein_o in_o the_o old_a globe_n be_v engraft_v a_o mariner_n compass_n with_o a_o needle_n magnetical_o touch_v very_o profitable_a for_o the_o direction_n of_o the_o sphere_n i_o will_v only_o speak_v of_o the_o great_a timber_n circle_n encompass_v round_o the_o whole_a globe_n because_o it_o more_o immediate_o concern_v our_o purpose_n this_o circle_n represent_v the_o horizon_n of_o the_o natural_a sphere_n in_o the_o globe_n it_o be_v make_v but_o one_o not_o that_o there_o be_v but_o one_o horizon_n in_o the_o whole_a earth_n because_o as_o we_o have_v teach_v the_o horizon_n be_v vary_a according_a to_o the_o place_n but_o because_o it_o be_v impossible_a to_o point_n and_o mark_v out_o the_o orison_n for_o all_o place_n be_v infinite_a as_o the_o vertical_a point_n yet_o may_v this_o one_o serve_v for_o all_o place_n because_o the_o globe_n be_v movable_a may_v apply_v all_o his_o part_n to_o this_o circle_n this_o circle_n represent_v the_o horizon_n be_v divide_v into_o three_o border_n or_o limb_n whereof_o the_o first_o which_o be_v towards_o the_o sphere_n contain_v all_o the_o sign_n with_o the_o planet_n thereunto_o belong_v every_o of_o which_o be_v divide_v into_o 30_o degree_n which_o in_o the_o timber_n circle_n be_v describe_v by_o set_a number_n and_o mark_n the_o second_o which_o be_v the_o middlemost_a and_o large_a contain_v the_o calendar_n with_o the_o golden_a number_n and_o several_a name_n of_o all_o the_o feast_n throughout_o the_o year_n the_o three_o and_o last_o be_v of_o the_o 22_o wind_n serve_v chief_o for_o the_o use_n of_o mariner_n and_o may_v serve_v many_o way_n for_o a_o geographer_n to_o distinguish_v the_o coast_n and_o point_n of_o the_o earth_n but_o of_o these_o three_o border_n distinguish_v in_o the_o horizon_n only_o the_o last_o have_v use_v in_o geography_n the_o other_o two_o be_v in_o themselves_o astronomical_a and_o place_v in_o the_o geographical_a globe_n rather_o for_o ornament_n than_o use_n the_o internal_a part_n of_o the_o globe_n be_v either_o annex_v or_o inscribe_v in_o the_o face_n of_o the_o sphere_n the_o annex_v part_n be_v that_o which_o represent_v the_o meridian_n which_o be_v a_o brazen_a circle_n for_o as_o the_o external_a frame_n of_o the_o globe_n contain_v the_o horizon_n as_o one_o circle_n so_o this_o meridian_n be_v set_v but_o one_o although_o it_o be_v in_o itself_o various_a according_a to_o the_o place_n to_o which_o it_o serve_v neither_o without_o good_a reason_n be_v this_o circle_n make_v of_o brass_n because_o it_o shall_v serve_v for_o diverse_a use_n which_o require_v that_o it_o shall_v be_v often_o change_v and_o turn_v to_o and_o fro_o which_o be_v of_o timber_n will_v miscarry_v this_o brazen_a meridian_n meet_v with_o the_o horizon_n at_o two_o opposite_a place_n cut_v it_o at_o right_a angle_n that_o the_o sphere_n include_v may_v be_v raise_v and_o set_v low_a as_o occasion_n require_v the_o meridian_n circle_n be_v again_o divide_v into_o 4_o quadrant_n each_o of_o which_o be_v again_o divide_v into_o 90_o degree_n so_o that_o on_o the_o one_o side_n the_o 90_o degree_n must_v touch_v the_o pole_n on_o the_o other_o side_n the_o first_o degree_n so_o that_o in_o all_o there_o will_v arise_v 360_o degree_n describe_v in_o the_o brazen_a meridian_n through_o this_o brazen_a meridian_n by_o the_o two_o pole_n do_v pass_v a_o line_n or_o wire_n which_o be_v call_v the_o axletree_n of_o the_o globe_n about_o the_o which_o the_o sphere_n be_v turn_v the_o end_n of_o which_o be_v common_o call_v the_o pole_n whereof_o the_o one_o represent_v the_o north_n point_n be_v call_v the_o pole_n arctic_n the_o other_o show_v the_o south_n be_v term_v antarctic_a to_o this_o meridian_n circle_n in_o the_o globe_n be_v common_o fasten_v a_o little_a brazen_a circle_n name_v cyclus_n horarius_fw-la or_o the_o houre-circle_n but_o this_o rather_o appertain_v to_o astronomy_n then_o geography_n and_o therefore_o we_o will_v forbear_v to_o describe_v it_o somewhat_o more_o use_n have_v we_o of_o another_o instrument_n fasten_v to_o the_o meridian_n call_v the_o quadrant_n of_o latitude_n foras_fw-la much_o as_o it_o may_v serve_v to_o measure_v the_o distance_n betwixt_o any_o two_o place_n sign_v in_o the_o globe_n but_o in_o so_o gross_a a_o instrument_n little_a exactness_n can_v be_v expect_v now_o for_o such_o matter_n as_o be_v inscribe_v in_o the_o sphere_n itself_o to_o let_v pass_v ridiculous_a &_o idle_a picture_n use_v of_o painter_n for_o ornament_n they_o be_v either_o line_n &_o circle_n draw_v on_o the_o face_n of_o the_o globe_n or_o else_o the_o picture_n &_o delineation_n of_o country_n and_o place_n mark_v out_o in_o visible_a proportion_n whereof_o the_o former_a proper_o appertain_v to_o the_o spherical_a part_n of_o geography_n the_o latter_a to_o the_o topical_a the_o circular_a lineament_n be_v again_o twofold_a either_o circle_n necessary_o appertain_v to_o the_o constitution_n of_o the_o globe_n or_o else_o line_n thereon_o draw_v to_o be_v consider_v of_o mariner_n which_o we_o have_v before_o call_v the_o rhumbe_n but_o these_o line_n
industrious_o calculate_v as_o i_o have_v here_o insert_v to_o save_v other_o a_o new_a labour_n of_o calculation_n the_o meridian_n be_v more_o easy_o find_v by_o hang_v any_o directory_n wire_n or_o needle_n over_o the_o terrella_n one_o end_n of_o which_o point_v towards_o the_o north_n and_o the_o other_o towards_o the_o south_n will_v discover_v the_o meridian_n line_n chap._n viii_o of_o the_o measure_n of_o the_o terrestrial_a globe_n 1_o hitherto_o have_v we_o handle_v the_o terrestrial_a globe_n primary_o in_o such_o propriety_n as_o absolute_o agree_v unto_o its_o nature_n in_o the_o second_o place_n we_o be_v to_o handle_v such_o as_o secondary_o arise_v out_o of_o the_o former_a here_o we_o be_v to_o handle_v two_o chief_a point_n 1_o the_o measure_n 2_o the_o distinction_n 2_o the_o measure_n be_v that_o by_o which_o we_o find_v out_o the_o quantity_n of_o the_o whole_a earth_n good_a reason_n have_v we_o to_o call_v this_o the_o secondary_a part_n of_o geography_n for_o as_o much_o as_o these_o accident_n and_o propriety_n we_o here_o consider_v arise_v altogether_o out_o of_o the_o former_a in_o the_o former_a treatise_n we_o have_v divide_v the_o natural_a sphere_n of_o the_o earth_n from_o the_o artificial_a but_o in_o this_o part_n for_o avoid_v of_o tedious_a repetition_n of_o the_o same_o thing_n we_o have_v join_v they_o together_o for_o howsoever_o the_o measure_n and_o dictinction_n of_o the_o earth_n be_v true_o ground_v on_o the_o nature_n of_o the_o earth_n itself_o yet_o can_v it_o not_o be_v well_o express_v and_o teach_v without_o the_o material_a instrument_n we_o have_v therefore_o think_v good_a to_o consider_v the_o measure_n of_o the_o earth_n before_o we_o come_v unto_o the_o distinction_n because_o it_o be_v more_o simple_a and_o uncompound_n depend_v on_o the_o lineament_n and_o measure_n of_o one_o circle_n whereas_o the_o distinction_n necessary_o require_v the_o conjunction_n and_o combination_n of_o diverse_a circle_n as_o meridian_n and_o parallel_n compare_v one_o with_o the_o other_o as_o shall_v be_v teach_v hereafter_o whether_o the_o great_a mass_n of_o the_o earth_n can_v be_v measure_v or_o no_o seem_v a_o matter_n not_o agree_v on_o by_o all_o some_o have_v hold_v a_o opinion_n that_o it_o can_v be_v measure_v in_o regard_n of_o the_o infinite_a magnitude_n wherewith_o they_o think_v it_o endow_v which_o opinion_n seem_v derive_v from_o some_o of_o the_o platonic_n who_o ascribe_v to_o the_o earth_n another_o figure_n beside_o the_o spherical_a have_v cast_v themselves_o upon_o uncertainty_n and_o be_v notable_a to_o reduce_v the_o quantity_n of_o the_o earth_n according_a to_o their_o own_o ground_n to_o any_o certain_a measure_n have_v deny_v it_o to_o be_v measurable_a but_o the_o ground_n of_o this_o opinion_n we_o have_v take_v away_o before_o in_o prove_v the_o earth_n to_o be_v of_o a_o true_a spherical_a nature_n and_o therefore_o circumscribe_v in_o certain_a bound_n apt_a to_o be_v measure_v another_o conceit_n more_o absurd_a than_o the_o former_a be_v not_o only_o the_o common_a people_n who_o condition_n may_v excuse_v their_o ignorance_n but_o of_o such_o as_o will_v be_v esteem_v learned_a who_o contend_v that_o the_o greatness_n of_o the_o earth_n can_v be_v measure_v the_o only_a reason_n they_o can_v allege_v for_o themselves_o be_v 1_o that_o a_o great_a part_n of_o the_o earth_n be_v unaccessible_a by_o reason_n of_o steep_a rock_n high_a mountain_n spacious_a and_o thick_a wood_n moorish_a fog_n and_o such_o like_a impediment_n 2_o that_o the_o part_n of_o it_o be_v for_o the_o most_o part_n uneven_a and_o subject_a to_o no_o regular_a figure_n without_o the_o which_o no_o measure_n can_v be_v exact_a the_o first_o cavil_n be_v of_o no_o moment_n because_o whereas_o we_o affirm_v that_o the_o earth_n by_o man_n may_v be_v measure_v we_o hold_v it_o not_o necessary_a that_o it_o shall_v be_v traverse_v over_o by_o journey_n or_o voyage_n for_o as_o much_o as_o to_o the_o find_v out_o of_o the_o quantity_n of_o the_o whole_a terrestrial_a sphere_n it_o may_v seem_v sufficient_a to_o know_v the_o measure_n and_o proportion_n of_o any_o little_a part_n in_o respect_n of_o the_o heaven_n as_o for_o example_n what_o number_n of_o miles_n league_n or_o furlong_n answer_v to_o any_o degree_n or_o degree_n in_o the_o heaven_n wherefore_o we_o suppose_v the_o earth_n to_o be_v measure_v over_o not_o with_o our_o foot_n but_o with_o our_o wit_n which_o may_v by_o mathematical_a rule_n be_v teach_v to_o march_v forward_o where_o our_o leg_n fail_v we_o the_o second_o objection_n only_o prove_v thus_o much_o that_o the_o earth_n partake_v of_o so_o many_o unequal_a part_n and_o irregular_a form_n can_v in_o the_o measure_n admit_v of_o so_o much_o exactness_n as_o if_o it_o be_v endow_v with_o one_o uniform_a face_n yet_o it_o be_v exact_a enough_o to_o contenta_fw-mi cosmographer_n who_o measure_v not_o by_o foot_n and_o inch_n but_o by_o league_n and_o mile_n in_o which_o we_o little_o regard_v such_o a_o needless_a curiosity_n 1_o the_o common_a measure_n by_o which_o the_o quantity_n of_o the_o earth_n be_v know_v be_v miles_n and_o furlong_n here_o be_v to_o be_v note_v that_o such_o instrument_n as_o serve_v for_o measure_v be_v of_o two_o sort_n either_o great_a or_o lesser_a the_o small_a be_v of_o diverse_a sort_n as_o a_o grain_n inch_n foot_n perch_n pole_n and_o such_o like_a some_o of_o these_o howsoever_o sometime_o useful_a in_o topographie_n can_v have_v little_a or_o no_o use_n at_o all_o in_o the_o vast_a greatness_n of_o the_o whole_a earth_n wherefore_o the_o geographer_n seldom_o descend_v so_o low_a but_o take_v notice_n of_o great_a measure_n such_o as_o be_v miles_n &_o furlong_n where_o we_o may_v observe_v by_o the_o way_n that_o the_o usual_a measure_n among_o the_o grecian_n be_v by_o stadia_fw-la or_o furlong_n among_o many_o of_o the_o latin_n by_o mile_n under_o which_o we_o also_o comprehend_v league_n these_o mile_n be_v diverse_o vary_v according_a to_o the_o diversity_n of_o country_n so_o that_o in_o some_o place_n they_o be_v esteem_v long_o in_o other_o short_a which_o difference_n may_v be_v learn_v out_o of_o this_o ensue_a table_n the_o instrument_n of_o measure_v the_o earth_n be_v 1_o furlong_n contain_v 125_o geometicall_a pace_n or_o 625_o foot_n 2_o mile_n which_o be_v either_o 1_o proper_a contain_v 8_o furlong_n or_o 1000_o pace_n 2_o improper_a which_o be_v either_o 1_o league_n which_o be_v either_o 2_o german_a mile_n which_o be_v either_o the_o 1_o old_a contain_v 12_o furlong_n 2_o new_a contain_v 16_o furlong_n 3_o common_z of_o 24_o furlong_n 1_o common_a which_o be_v 32_o furlong_n or_o four_o italian_a mile_n 2_o great_a contain_v 5000_o pace_n which_o be_v call_v the_o suenian_a or_o helvetian_a mile_n howsoever_o this_o distinction_n of_o mile_n may_v be_v many_o way_n profitable_a especial_o in_o the_o topographicall_a part_n yet_o shall_v we_o seldom_o make_v use_n of_o any_o other_o than_o the_o common_a german_a mile_n or_o the_o common_a italian_a mile_n to_o which_o as_o the_o most_o know_v the_o rest_n may_v easy_o be_v reduce_v 3_o the_o object_n here_o propose_v to_o be_v measure_v be_v the_o sphere_n of_o the_o earth_n the_o dimension_n according_a to_o which_o it_o be_v measure_v be_v either_o simple_a or_o compound_v 4_o the_o simple_a be_v twofold_a either_o the_o perimeter_n or_o the_o diameter_n the_o perimeter_n otherwise_o call_v the_o circumference_n be_v a_o great_a circle_n measure_v the_o earth_n round_o about_o 5_o the_o invention_n of_o the_o perimeter_n of_o the_o earth_n depend_v on_o these_o follow_a proposition_n 1_o if_o two_o or_o more_o circle_n be_v draw_v about_o the_o same_o centre_n and_o from_o the_o centre_n to_o the_o circumference_n be_v draw_v two_o right_a line_n the_o arch_n of_o all_o the_o circle_n comprehend_v within_o the_o say_v right_a line_n will_v be_v like_a and_o proportional_a one_o to_o the_o other_o this_o proposition_n be_v mere_o geometrical_a be_v take_v here_o as_o a_o ground_n without_o far_a demonstration_n whereof_o if_o any_o man_n doubt_v he_o may_v have_v recourse_n to_o clavius_n commentary_n upon_o johannes_n de_fw-fr sacrobosco_n this_o principle_n grant_v will_v beget_v these_o two_o consectary_n 1_o as_o one_o degree_n be_v to_o the_o number_n of_o correspondent_a mile_n or_o furlong_n so_o all_o degree_n of_o the_o circle_n to_o the_o number_n of_o mile_n or_o furlong_n measure_v the_o quantity_n of_o the_o perimeter_n of_o the_o earth_n 2_o wherefore_o one_o degree_n or_o portion_n of_o the_o circle_n be_v know_v by_o his_o number_n of_o mile_n or_o furlong_n the_o whole_a circumference_n may_v be_v find_v out_o the_o reason_n of_o this_o consequence_n every_o arithmetician_n can_v easy_o show_v out_o of_o the_o golden_a rule_n the_o chief_a point_n then_o
believe_v no_o less_o and_o can_v speak_v no_o more_o except_o i_o shall_v urge_v the_o beat_n of_o the_o great_a atlantic_a ocean_n upon_o our_o western_a shore_n which_o may_v in_o some_o sort_n qualify_v the_o excess_n of_o heat_n incident_a to_o the_o eastern_a tract_n which_o may_v produce_v some_o degree_n of_o temperature_n but_o here_o also_o we_o shall_v perhaps_o meet_v with_o cross_a instance_n which_o will_v stir_v up_o more_o doubt_v th●n_a satisfaction_n chap._n iu._n of_o the_o manner_n of_o expression_n and_o description_n of_o region_n 1_o have_v treat_v of_o the_o general_a adjunct_n of_o place_n we_o be_v next_o to_o handle_v the_o manner_n of_o describe_v a_o region_n which_o propose_v unto_o we_o two_o point_n ●_o the_o find_v out_o the_o position_n of_o two_o place_n one_o in_o regard_n of_o the_o other_o 2_o the_o translation_n of_o such_o place_n so_o find_v out_o into_o the_o globe_n or_o chart_fw-la 2_o the_o former_a depend_v on_o the_o invention_n of_o the_o angle_n of_o position_n by_o some_o dioptricke_a instrument_n this_o manner_n of_o description_n of_o a_o particular_a region_n seem_v very_o necessary_a for_o a_o geographer_n which_o every_o mechanician_a may_v soon_o learn_v and_o practice_n many_o instrument_n have_v be_v devise_v by_o curious_a artificer_n for_o this_o purpose_n who_o use_n have_v be_v set_v out_o large_o by_o late_a writer_n as_o by_o gemma_fw-la frisius_n diggs_n hopton_n and_o other_o to_o who_o my_o reader_n may_v have_v recourse_n because_o i_o hold_v it_o not_o my_o task_n in_o this_o subject_n to_o describe_v the_o instrument_n themselves_o but_o brief_o to_o show_v the_o ground_n and_o use_v of_o they_o which_o these_o proposition_n shall_v express_v 1_o diverse_a place_n observe_v at_o two_o or_o more_o station_n by_o some_o dioptricke_a instrument_n the_o situation_n of_o two_o place_n one_o in_o regard_n of_o the_o other_o may_v be_v find_v out_o and_o express_v in_o a_o plain_a this_o may_v sensible_o be_v show_v in_o the_o figure_n follow_v to_o express_v which_o the_o more_o plain_o we_o will_v set_v down_o these_o rule_n 1_o let_v there_o be_v draw_v in_o some_o chart_n or_o plain_a platform_n a_o right_a line_n which_o we_o must_v account_v to_o be_v our_o meridian_n because_o it_o shall_v afterward_o serve_v for_o that_o purpose_n this_o right_a line_n shall_v be_v ab_fw-la who_o two_o end_n a_o and_o b_o shall_v be_v take_v for_o the_o north_n and_o south_n 2_o you_o must_v choose_v out_o of_o some_o high_a place_n as_o a_o tower_n or_o mountain_n from_o whence_o you_o may_v behold_v such_o city_n town_n castle_n and_o other_o such_o notable_a place_n whereof_o you_o desire_v to_o know_v the_o situation_n and_o bear_n of_o the_o one_o to_o the_o other_o this_o high_a place_n be_v call_v the_o first_o station_n where_o you_o must_v place_v the_o plain_a before_o prepare_v in_o such_o sort_n as_o it_o may_v astronomical_o and_o true_o agree_v with_o the_o true_a meridian_n of_o the_o place_n who_o invention_n we_o have_v teach_v in_o the_o first_o book_n and_o so_o respect_v the_o four_o cardinal_n coast_n to_o wit_n east_n west_n north_n and_o south_n upon_o this_o place_n seat_v in_o such_o a_o manner_n of_o situation_n fasten_v your_o dioptricke_a instrument_n that_o it_o may_v be_v turn_v about_o the_o point_n a_o on_o every_o side_n at_o pleasure_n in_o such_o sort_n as_o the_o sight_n may_v be_v direct_v to_o every_o one_o of_o the_o adjacent_a place_n first_o then_o remove_v it_o from_o a_o direct_v your_o sight_n to_o f_o and_o draw_v the_o line_n of_o of_o indefinite_a length_n likewise_o your_o instrument_n be_v direct_v to_o g_o draw_v the_o line_n agnostus_n infinite_o which_o by_o this_o mean_n will_v also_o hit_v the_o place_n e_o let_v b_o also_o be_v imagine_v a_o certain_a place_n as_o a_o city_n or_o castle_n situate_v in_o the_o very_a meridian_n itself_o which_o we_o find_v already_o draw_v to_o our_o hand_n in_o like_a sort_n ought_v we_o to_o proceed_v with_o the_o other_o place_n c_o and_o d_o and_o as_o many_o as_o we_o please_v this_o perform_v you_o must_v remove_v yourself_o with_o your_o instrument_n and_o plain_a to_o some_o one_o of_o these_o place_n thus_o fore-marked_n out_o as_o for_o example_n unto_o d_o which_o be_v call_v the_o second_o station_n and_o there_o as_o in_o the_o former_a ascend_v up_o some_o high_a place_n the_o plain_a be_v first_o fit_v and_o place_v astronomical_o take_v the_o distance_n ad_fw-la of_o any_o length_n whatsoever_o for_o to_o the_o greatness_n of_o this_o distance_n shall_v all_o the_o rest_n be_v proportional_a hence_o so_o place_v your_o dioptricke_a instrument_n at_o the_o place_n d_o that_o it_o may_v be_v turn_v round_o and_o direct_v to_o all_o those_o place_n former_o observe_v in_o this_o sort_n level_v your_o sight_n to_o the_o place_n or_o castle_n f_o draw_v the_o line_n df_n so_o direct_v your_o sight_n to_o the_o rest_n you_o may_v draw_v the_o line_n dcg_n dedb_n etc._n etc._n now_o by_o the_o point_n of_o intersection_n of_o these_o line_n as_o in_o f_o g_o e_o c_o b_o etc._n etc._n be_v to_o be_v describe_v and_o delineate_v out_o the_o say_v notable_a landmark_n as_o town_n castle_n promontory_n and_o such_o like_a betwixt_o these_o place_n if_o any_o man_n desire_v to_o know_v the_o distance_n in_o mile_n he_o may_v know_v it_o by_o find_v out_o any_o one_o of_o these_o distance_n for_o one_o be_v know_v the_o rest_n will_v also_o be_v exact_o know_v as_o for_o example_n we_o will_v imagine_v the_o distance_n ad_fw-la to_o contain_v 10_o mile_n wherefore_o let_v the_o line_n ad_fw-la be_v divide_v into_o 10_o equal_a part_n then_o with_o your_o compass_n examine_v how_o many_o such_o part_n be_v contain_v in_o the_o distance_n of_o for_o so_o many_o mile_n will_v be_v likewise_o in_o it_o contain_v as_o for_o example_n according_a to_o this_o supposition_n we_o shall_v find_v it_o 5_o part_n wherefore_o the_o castle_n or_o city_n f_o will_v be_v 5_o mile_n distant_a from_o the_o city_n a._n he_o that_o desire_v more_o particular_o to_o acquaint_v himself_o with_o the_o use_n and_o diverse_a manner_n of_o description_n of_o region_n derive_v from_o this_o one_o ground_n let_v he_o have_v recourse_n to_o diverse_a author_n who_o have_v particular_o labour_v in_o this_o subject_n among_o which_o our_o two_o englishman_n digges_n and_o hopton_n deserve_v not_o the_o least_o praise_n whereof_o the_o late_a out_o of_o these_o principle_n have_v frame_v a_o curious_a instrument_n which_o he_o call_v his_o topographicall-glasse_n who_o use_n he_o have_v perspicuous_o and_o exact_o teach_v in_o diverse_a pleasant_a conclusion_n too_o large_a for_o the_o scope_n of_o my_o method_n to_o insert_v 2_o at_o one_o station_n by_o opticall_a observation_n the_o situation_n of_o one_o place_n in_o respect_n of_o the_o other_o may_v be_v find_v out_o this_o may_v be_v show_v out_o of_o a_o opticall_a experiment_n both_o pleasant_a and_o admirable_a the_o ground_n be_v express_v in_o this_o proposition_n the_o light_n traiect_v by_o a_o narrow_a hole_n into_o a_o dark_a place_n will_v represent_v in_o any_o table_n or_o white_a paper_n within_o whatsoever_o be_v without_o direct_o oppose_v unto_o it_o for_o demonstration_n of_o which_o proposition_n we_o must_v take_v as_o grant_v of_o the_o perspective_n author_n that_o the_o visual_a image_n or_o species_n will_v pass_v by_o a_o right_a line_n through_o any_o little_a hole_n and_o will_v be_v terminate_v in_o any_o point_n of_o the_o medium_fw-la now_o that_o it_o shall_v more_o perspicuous_o be_v see_v in_o a_o dark_a place_n then_o in_o the_o light_n the_o cause_n be_v assign_v to_o be_v because_o the_o light_n of_o the_o sun_n be_v take_v away_o or_o much_o diminish_v which_o otherwise_o will_v hide_v and_o shadow_v the_o species_n of_o the_o thing_n which_o be_v present_v to_o the_o sight_n as_o we_o see_v by_o experience_n the_o great_a light_n of_o the_o sun_n to_o obscure_v the_o star_n which_o nevertheless_o from_o the_o dark_a bottom_n of_o a_o deep_a well_o or_o i_o will_v show_v themselves_o at_o midday_n nevertheless_o we_o must_v observe_v by_o the_o way_n that_o this_o representation_n of_o any_o thing_n to_o the_o sight_n by_o this_o image_n impress_v in_o this_o sort_n in_o a_o wall_n or_o paper_n will_v show_v itself_o so_o as_o the_o part_n will_v be_v see_v inverse_v or_o as_o we_o may_v say_v turn_v on_o the_o contrary_a side_n as_o the_o high_a low_a the_o low_a high_a the_o rightside_n to_o the_o left_a and_o the_o left_a to_o the_o right_n which_o we_o may_v declare_v by_o a_o ocular_a demonstration_n in_o this_o figure_n here_o insert_v let_v we_o imagine_v a_o triangular_a platform_n of_o land_n whereof_o we_o desire_v to_o know_v the_o situation_n
retain_v in_o itself_o the_o virtue_n of_o the_o loadstone_n yet_o by_o reason_n of_o the_o liquefaction_n be_v altogether_o languish_v and_o as_o it_o be_v bury_v but_o upon_o touch_n of_o a_o loadstone_n be_v stir_v up_o to_o his_o former_a vigour_n for_o the_o magnet_n insinuat_v his_o incorporeal_a influence_n into_o the_o iron_n and_o so_o rectify_v and_o animate_v that_o force_n which_o be_v almost_o dead_a 2_o the_o magnetical_a coiton_n be_v strong_a of_o all_o in_o the_o pole_n this_o may_v easy_o be_v demonstrate_v by_o a_o experiment_n for_o if_o the_o iron_n needle_n which_o be_v propose_v to_o be_v attract_v and_o the_o pole_n and_o centre_n be_v place_v in_o the_o same_o right_a line_n then_o this_o coition_n will_v be_v to_o a_o perpendicular_a as_o in_o a_o and_o b_o to_o wit_n the_o pole_n in_o the_o diagramme_n but_o in_o the_o middle_a space_n they_o will_v oblique_o respect_v and_o point_n and_o by_o how_o much_o far_o off_o from_o the_o pole_n it_o be_v by_o so_o much_o be_v this_o virtue_n weak_a but_o in_o the_o equator_fw-la itself_o it_o become_v mere_o parallel_v without_o any_o inclination_n at_o all_o to_o know_v in_o what_o proportion_n this_o force_n be_v increase_v or_o weaken_v we_o must_v put_v another_o ground_n that_o the_o force_n of_o this_o coition_n be_v increase_v proportional_o as_o the_o chord_n of_o a_o circle_n for_o by_o how_o much_o the_o least_o chorde_v in_o a_o circle_n differ_v from_o the_o diameter_n so_o much_o the_o force_n attractive_a differ_v from_o themselves_o for_o since_o the_o attraction_n be_v a_o coition_n of_o one_o body_n with_o another_o and_o magnetical_a body_n be_v carry_v by_o a_o convertible_a nature_n it_o come_v to_o pass_v that_o a_o line_n draw_v from_o one_o pole_n to_o another_o in_o the_o diameter_n direct_o meet_v with_o the_o body_n but_o in_o other_o place_n less_o so_o that_o the_o less_o it_o be_v convert_v to_o the_o body_n the_o less_o and_o weak_a will_v be_v the_o coition_n 3_o so_o much_o be_v speak_v of_o the_o magnetical_a coition_n it_o follow_v that_o we_o speak_v of_o magnetical_a direction_n which_o be_v a_o natural_a conversion_n and_o conformity_n of_o the_o magnetical_a body_n to_o the_o pole_n of_o the_o earth_n it_o be_v manifest_a that_o a_o magnetical_a body_n so_o seat_v that_o it_o can_v move_v without_o any_o impediment_n will_v turn_v itself_o in_o such_o wise_a that_o the_o one_o pole_n of_o it_o will_v respect_v the_o north_n pole_n of_o the_o earth_n the_o other_o the_o south_n which_o motion_n we_o call_v direction_n this_o we_o may_v plain_o see_v in_o a_o mariner_n compass_v who_o lily_n always_o respect_v the_o north_n point_fw-fr if_o a_o compass_n be_v want_v the_o same_o may_v be_v show_v in_o a_o little_a corken-boate_n which_o be_v put_v in_o the_o water_n with_o a_o loadstone_n in_o it_o will_v so_o turn_v and_o convert_v itself_o that_o the_o pole_n of_o the_o loadstone_n will_v at_o length_n point_n out_o the_o pole_n of_o the_o terrestrial_a globe_n the_o manner_n how_o shall_v be_v disclose_v in_o these_o theorem_n 1_o the_o south_n part_n of_o the_o loadstone_n turn_v to_o the_o north_n and_o the_o north_n part_n to_o the_o south_n to_o confirm_v this_o assertion_n some_o have_v produce_v this_o experiment_n let_v there_o be_v cut_v out_o of_o a_o rock_n of_o loadstone_n a_o magnet_n of_o reasonable_a quantity_n let_v the_o two_o pole_n both_o north_n and_o south_n be_v mark_v out_o in_o the_o loadstone_n the_o manner_n of_o which_o we_o shall_v perhaps_o teach_v hereafter_o then_o let_v it_o be_v put_v in_o a_o corken_v little_a boat_n on_o the_o water_n so_o that_o it_o may_v free_o float_v hither_o &_o thither_o it_o will_v be_v evident_a that_o that_o part_n which_o in_o the_o rock_n or_o i_o point_v northward_o will_v respect_v the_o south_n and_o contrariwise_o the_o south_n part_n will_v respect_v the_o north_n as_o we_o may_v see_v in_o this_o figure_n let_v the_o magnet_n as_o it_o be_v continuate_v with_o the_o mine_n or_o globe_n of_o the_o earth_n be_v ab_fw-la so_o that_o a_o shall_v be_v in_o the_o north_n pole_n b_o the_o southpole_n let_v this_o loadstone_n be_v cut_v out_o of_o this_o rock_n or_o i_o &_o place_v on_o the_o water_n in_o a_o little_a timber_n boat_n which_o shall_v be_v cd_o we_o shall_v find_v that_o this_o little_a dish_n or_o boat_n will_v turn_v itself_o so_o long_o until_o the_o northpart_v a_o be_v turn_v to_o the_o southpart_n b_o and_o on_o the_o other_o part_n the_o southpart_n b_o be_v convert_v to_o the_o northpart_v a_o and_o this_o comformity_n will_v the_o whole_a rock_n of_o loadstone_n claim_n if_o it_o be_v divide_v and_o separate_v from_o the_o globe_n of_o the_o earth_n the_o reason_n why_o the_o magnet_n in_o the_o boat_n on_o the_o water_n turn_v wind_v and_o seat_v itself_o to_o a_o contrary_a motion_n to_o that_o it_o primary_o receive_v while_o it_o be_v join_v to_o the_o bowel_n of_o the_o earth_n and_o unite_v to_o the_o body_n of_o the_o great_a magnet_n be_v because_o every_o part_n of_o a_o loadstone_n be_v separate_v from_o the_o whole_a whereof_o it_o be_v a_o part_n become_v of_o itself_o a_o perfect_a complete_a magnetical_a body_n as_o we_o may_v say_v a_o little_a earth_n have_v all_o the_o property_n of_o the_o great_a globe_n as_o pole_n meridian_n aequator_n etc._n etc._n and_o therefore_o according_a to_o the_o nature_n of_o magnetical_a union_n speak_v of_o in_o our_o next_o theorem_a will_v in_o no_o wise_n endure_v to_o settle_v itself_o as_o it_o do_v before_o but_o deem_v it_o a_o thing_n more_o natural_a and_o of_o more_o perfection_n to_o turn_v his_o aspect_n a_o contrary_a way_n to_o that_o which_o he_o enjoy_v at_o his_o first_o constitution_n here_o may_v we_o note_v a_o great_a error_n of_o gemma_fw-la frisius_n who_o in_o his_o corollary_n upon_o the_o 15_o chap._n of_o his_o cosmographical_a comment_n on_o p._n appian_n affirm_v that_o the_o needle_n magnetical_o effect_v will_v on_o this_o side_n the_o aequator_fw-la respect_v the_o north-pole_n but_o be_v past_o the_o line_n will_v straightway_o turn_v about_o and_o point_n to_o the_o southpole_n a_o error_n as_o mr_n hues_n say_v unworthy_a so_o great_a a_o mathematician_n but_o gemma_fw-la frisius_n in_o some_o ●ort_n may_v be_v excuse_v for_o as_o much_o as_o the_o ground_n of_o magnetical_a philosophy_n be_v in_o his_o time_n either_o not_o discover_v or_o most_o unperfect_o know_v and_o the_o uncertain_a relation_n of_o navigator_n be_v repute_v the_o best_a argument_n and_o how_o easy_a a_o matter_n it_o be_v for_o a_o traveller_n in_o this_o sort_n to_o deceive_v a_o scholar_n who_o out_o of_o his_o read_n and_o experience_n can_v show_v nothing_o to_o the_o contrary_a let_v every_o man_n judge_v 2_o this_o contrary_a motion_n here_o speak_v of_o be_v the_o just_a confluxe_n and_o conformity_n of_o such_o body_n to_o magnetical_a union_n this_o be_v demonstrate_v by_o gilbert_n in_o this_o manner_n let_v the_o whole_a magnetical_a body_n be_v cd_o then_o c_z will_v turn_v to_o the_o north_n of_o the_o earth_n b_o and_o d_o unto_o the_o south_n part_n a._n let_v this_o magnet_n be_v cut_v in_o twain_o by_o the_o middle_a line_n or_o aequator_fw-la and_o the_o point_n e_o will_v tend_v to_o a_o and_o the_o part_n f_o will_v direct_v itself_o to_o b_o for_o as_o in_o the_o whole_a so_o in_o the_o part_n divide_v nature_n desire_v the_o union_n of_o these_o body_n the_o end_n e_z willing_o accord_v with_o f_o but_z e_z will_v not_o willing_o join_v itself_o with_o d_o nor_o f_o with_o c_o for_o than_o it_o will_v have_v c_o against_o its_o nature_n to_o move_v towards_o a_o the_o south_n or_o d_o in_o b_o which_o be_v the_o south_n separate_a the_o stone_n in_o the_o place_n of_o division_n and_o turn_v c_o to_o d_o and_o they_o will_v convenient_o agree_v and_o accord_n for_o d_o will_v turn_v itself_o to_o the_o south_n as_o before_o and_o c_o to_o the_o north_n and_o e_z and_o f_o joint_a part_n in_o the_o mineral_n or_o rock_n will_v now_o be_v most_o sunder_v for_o these_o magnetical_a part_n concur_v and_o meet_v together_o not_o by_o any_o affinity_n of_o matter_n but_o receive_v all_o their_o motion_n and_o inclination_n from_o the_o form_n so_o that_o the_o limit_n whether_o joint_n or_o divide_v be_v direct_v magnetical_o to_o the_o pole_n of_o the_o earth_n in_o the_o same_o manner_n as_o in_o the_o divide_a body_n 3_o if_o any_o part_n southward_o of_o the_o magnetical_a body_n be_v tear_v away_o or_o diminish_v so_o much_o shall_v be_v also_o diminish_v of_o the_o northpart_n and_o contrariwise_o if_o any_o part_n be_v take_v away_o in_o the_o northpart_n so_o much_o shall_v the_o virtue_n of_o the_o
92_o 3_o it_o be_v probable_a that_o the_o sea_n be_v carry_v somewhere_o from_o east_n to_o west_n and_o somewhere_o from_o north_n to_o south_n &_o contrariwise_o 98_o 4_o of_o the_o violent_a motion_n of_o the_o sea_n cause_v by_o wind_n 101_o 5_o to_o some_o certain_a place_n at_o certain_a time_n belong_v certain_a wind_n 102_o 6_o the_o violence_n of_o the_o wind_n make_v the_o sea_n sometime_o in_o some_o place_n transcend_v his_o ordinary_a bound_n 103_o chap._n vii_o of_o the_o depth_n situation_n and_o termination_n of_o the_o sea_n 1_o the_o ordinary_a depth_n of_o the_o sea_n be_v common_o answerable_a to_o the_o ordinary_a height_n of_o the_o main_a land_n above_o the_o water_n and_o the_o whirlpool_n &_o extraordinary_a depth_n answer_v to_o the_o height_n of_o the_o mountain_n above_o the_o ordinary_a height_n of_o the_o earth_n 104_o 2_o the_o superficies_n of_o the_o sea_n be_v somewhere_o high_a than_o the_o superficies_n of_o the_o earth_n somewhere_o low_a 109_o 3_o the_o sea_n in_o respect_n of_o the_o earth_n be_v high_a in_o one_o place_n then_o another_o 111_o 4_o the_o water_n be_v so_o divide_v from_o the_o dry-land_n that_o the_o quantity_n of_o water_n be_v great_a in_o the_o southern_a hemisphere_n of_o land_n in_o the_o northern_a 115_o 5_o the_o whole_a globe_n of_o the_o earth_n be_v environ_v round_o with_o sea_n betwixt_o east_n and_o west_n 116_o 6_o it_o be_v probable_a that_o the_o earth_n be_v enuirnoe_v round_o with_o water_n from_o north_n to_o south_n of_o the_o northwest_n passage_n 117_o chap._n viii_o ofsea_n traffic_n and_o merchandise_n 1_o navigation_n first_o teach_v by_o almighty_a god_n be_v afterward_o second_v by_o the_o industry_n of_o famous_a man_n in_o all_o age_n 132_o 2_o navigation_n be_v very_o necessary_a as_o well_o for_o the_o increase_n of_o knowledge_n as_o riches_n 135_o chap._n ix_o of_o pedography_n rivers_n lake_n and_o fountain_n in_o the_o earth_n 1_o all_o river_n have_v their_o original_n from_o the_o sea_n the_o mother_n of_o river_n 142_o 2_o all_o river_n and_o fountain_n be_v not_o from_o the_o beginning_n 155_o 3_o many_o river_n be_v for_o a_o great_a space_n of_o land_n swallow_v up_o of_o the_o earth_n whereof_o some_o after_o a_o certain_a distance_n rise_v again_o 156_o 4_o river_n for_o the_o most_o part_n rise_v out_o of_o great_a mountain_n and_o at_o last_o by_o diverse_a or_o one_o inlet_n be_v disburden_v into_o the_o sea_n 157_o 5_o diverse_a fountain_n be_v endow_v with_o diverse_a admirable_a virtue_n and_o operation_n 159_o 6_o place_n near_o great_a river_n and_o lake_n be_v most_o commodious_a for_o habitation_n 162_o 7_o of_o lake_n and_o their_o cause_n 162_o 8_o it_o be_v probable_a that_o some_o lake_n have_v some_o secret_a intercourse_n with_o the_o sea_n under_o ground_n 163_o chap._n x._o of_o mountain_n valley_n plaine-region_n woody_a and_o champion_n country_n 1_o mountain_n valley_n and_o plain_n be_v create_v in_o the_o beginning_n and_o few_o make_v by_o the_o violence_n of_o the_o deluge_n 165_o 2_o the_o perpendicular_a height_n of_o the_o high_a mountain_n seldom_o exceed_v 10_o furlong_n 169_o 3_o the_o ordinary_a height_n of_o the_o land_n above_o the_o sea_n in_o diverse_a place_n be_v more_o than_o the_o height_n of_o the_o high_a mountain_n above_o the_o ordinary_a face_n of_o the_o earth_n 171_o 4_o mountain_n country_n be_v common_o cold_a than_o plain_a 172_o 5_o mountain_n since_o the_o begin_n of_o the_o world_n have_v still_o decrease_v in_o their_o quantity_n and_o so_o will_v unto_o the_o end_n 174_o 6_o of_o wood_n and_o their_o nature_n 178_o 7_o wood_n be_v not_o so_o frequent_a or_o great_a as_o in_o ancient_a time_n 179_o 8_o place_n moderate_o situate_a towards_o the_o north_n or_o south-pole_n abound_v more_o in_o wood_n then_o near_o the_o equatour_n 180_o chap._n xi_o of_o land_n and_o continent_n 1_o it_o be_v probable_a that_o land_n be_v not_o from_o the_o first_o beginning_n but_o be_v afterward_o make_v by_o violence_n of_o the_o water_n 184_o 2_o peninsula_n by_o violence_n of_o the_o sea_n fret_v through_o the_o isthmus_n have_v oftentimes_o turn_v into_o land_n and_o contrariwise_o peninsalas_o by_o diminution_n of_o the_o sea_n make_v of_o land_n 189_o chap._n xii_o of_o inundation_n and_o earthquake_n 1_o no_o universal_a inundation_n of_o the_o earth_n can_v be_v natural_a the_o other_o may_v depend_v from_o natural_a cause_n 193_o 2_o particular_a alteration_n have_v happen_v to_o the_o bond_n of_o country_n by_o particular_a inundation_n 195_o 3_o certain_a region_n by_o reason_n of_o great_a river_n be_v subject_a to_o certain_a anniversary_n inundation_n 197_o 4_o region_n extreme_a cold_a or_o extreme_a hot_a be_v not_o so_o subject_a to_o earthquake_n as_o place_n of_o a_o middle_a temper_n 201_o 5_o hollow_a and_o spongy_a place_n be_v more_o subject_a to_o earthquake_n then_o solid_a and_o compact_a soil_n 202_o 6_o land_n be_v more_o often_o trouble_v with_o earthquake_n then_o the_o continent_n 203_o chap._n xiii_o of_o the_o original_a of_o inhabitant_n 1_o all_o nation_n have_v their_o first_o original_n from_o one_o stock_n whence_o afterward_o they_o become_v divide_v 206_o 2_o the_o first_o inhabitant_n of_o the_o earth_n be_v plant_v in_o paradise_n and_o thence_o translate_v to_o the_o place_n adjoin_v 208_o 3_o the_o first_o plantation_n of_o inhabitant_n immediate_o after_o the_o deluge_n begin_v in_o the_o east_n 213_o chap._n fourteen_o of_o the_o disposition_n of_o inhabitant_n in_o respect_n of_o the_o site_n 1_o the_o people_n of_o the_o northern_a hemisphere_n as_o well_o in_o riches_n and_o magnificence_n as_o valour_n science_n and_o civil_a government_n far_o surpass_v the_o people_n of_o the_o south_n hemisphere_n 221_o 2_o the_o extreme_a inhabitant_n towards_o the_o pole_n be_v in_o complexion_n hot_a and_o moist_a those_o towards_o the_o equatour_n cold_a and_o dry_a those_o of_o the_o middle_a partake_n of_o a_o middle_a temper_n 226_o 3_o the_o extreme_a inhabitant_n towards_o the_o pole_n be_v natural_o incline_v to_o mechanical_a work_n and_o martial_a endeavour_n the_o extreme_a towards_o the_o equatour_n to_o work_n of_o religion_n and_o contemplation_n the_o middle_n to_o law_n and_o civility_n 232_o 4_o the_o people_n of_o the_o extreme_a region_n towards_o the_o pole_n in_o martial_a prowess_n have_v common_o prove_v strong_a than_o those_o near_a the_o equatour_n but_o the_o middle_a people_n more_o provident_a then_o either_o in_o the_o establishment_n and_o preservation_n of_o commonwealth_n 236_o 5_o the_o extreme_a region_n in_o manner_n action_n and_o custom_n be_v clean_o opposite_a the_o one_o to_o the_o other_o the_o middle_n partake_v a_o mixture_n of_o both_o 239_o 6_o the_o people_n of_o the_o eastern_a hemisphere_n in_o science_n religion_n civility_n and_o magnificence_n and_o almost_o in_o every_o thing_n else_o be_v far_o superior_a to_o the_o inhabitant_n of_o the_o western_a 250_o 7_o the_o western_a people_n have_v be_v observe_v to_o be_v more_o happy_a and_o able_a in_o martial_a discipline_n the_o eastern_a in_o witty_a contemplation_n and_o contemplative_a science_n 252_o 8_o the_o eastern_a part_n of_o the_o western_a hemisphere_n be_v people_v before_o the_o western_a 255_o chap._n xv._n of_o the_o diversity_n of_o disposition_n in_o regard_n of_o the_o soil_n 1_o mountaine-people_n be_v for_o the_o most_o part_n more_o stout_a warlike_a and_o generous_a than_o those_o of_o plain_a country_n yet_o less_o tractable_a to_o government_n 256_o 2_o windy_a region_n produce_v man_n of_o wild_a and_o instable_a disposition_n but_o quiet_a region_n more_o constant_a and_o courteous_a 273_o chap._n xvi_o of_o the_o disposition_n of_o inhabitant_n according_a to_o their_o original_n and_o education_n 1_o colony_n translate_v from_o one_o region_n into_o another_o far_a remote_a retain_v a_o long_a time_n their_o first_o disposition_n though_o by_o little_a &_o little_a they_o decline_v and_o suffer_v alteration_n 278_o 2_o the_o mixture_n of_o colonies_n beget_v the_o same_o nation_n a_o great_a disparity_n and_o variety_n of_o the_o nation_n among_o themselves_o 278_o 3_o education_n have_v a_o great_a force_n in_o the_o alteration_n of_o natural_a disposition_n yet_o so_o as_o by_o accident_n remit_v they_o soon_o return_v to_o their_o proper_a temper_n  _fw-fr 4_o by_o discipline_n nation_n become_v more_o wise_a and_o politic_a in_o the_o preservation_n of_o state_n yet_o less_o stout_a and_o courageous_a 283_o the_o analysis_n of_o the_o second_o book_n general_n which_o of_o a_o place_n general_o take_v without_o any_o special_a division_n handle_v the_o adjunct_n and_o propriety_n these_o agree_v to_o a_o place_n in_o respect_n of_o the_o earth_n itself_o which_o be_v internal_a or_o external_a common_a or_o magnetical_a whereof_o chapter_n 2._o heaven_n which_o be_v general_n or_o special_a chapt._n 3_o
black_a lion_n which_o we_o can_v ascribe_v to_o no_o other_o cause_n then_o the_o excess_n of_o heat_n and_o not_o to_o any_o quality_n of_o the_o seed_n or_o any_o curse_n inflict_v on_o the_o place_n moreover_o it_o be_v report_v by_o ferdinando_n de_fw-fr quir_n in_o his_o late_a discovery_n of_o the_o south_n continent_n that_o he_o there_o also_o find_v some_o black_a people_n yet_o can_v we_o not_o imagine_v this_o land_n though_o stretch_v very_o far_o in_o quantity_n towards_o the_o equinoctial_a to_o come_v so_o far_o or_o much_o far_a than_o the_o tropic_n of_o capricorn_n these_o argument_n make_v it_o the_o more_o probable_a that_o the_o region_n situate_v under_o the_o tropic_n general_o exceed_v more_o in_o heat_n than_o those_o place_v in_o the_o middle_n of_o the_o earth_n under_o the_o line_n 2_o in_o the_o other_o extreme_a section_n from_o 60_o degree_n towards_o the_o pole_n the_o first_o 15_o degree_n towards_o the_o equatour_n be_v more_o moderate_o cold_a the_o other_o towards_o the_o pole_n most_o immoderate_o cold_a and_o unapt_a for_o convenient_a habitation_n that_o this_o section_n of_o 30_o degree_n comprehend_v betwixt_o the_o 60_o degree_n and_o the_o pole_n be_v in_o a_o sort_n habitable_a be_v confirm_v by_o the_o testimony_n of_o many_o navigatour_n especial_o the_o english_a and_o hollander_n who_o have_v adventure_v very_o far_o northward_o and_o have_v there_o find_v the_o earth_n though_o not_o so_o fruitful_a yet_o furnish_v with_o some_o commodity_n and_o people_v with_o inhabitant_n the_o first_o 15_o degree_n towards_o the_o equatour_n admit_v of_o no_o great_a exception_n contain_v in_o their_o extent_n finmarke_n bodia_n in_o scandia_n nova_fw-la zembla_n auian_n groenland_n with_o many_o other_o place_n indifferent_o discover_v where_o they_o have_v indeed_o find_v the_o air_n very_o cold_a in_o regard_n of_o this_o of_o we_o yet_o not_o so_o immoderate_a but_o that_o it_o can_v at_o all_o time_n agree_v with_o the_o natural_a temper_n of_o the_o native_a inhabitant_n and_o at_o least_o at_o some_o time_n of_o the_o year_n admit_v a_o passage_n for_o foreign_a nation_n but_o the_o other_o region_n stretch_v northward_o from_o 75_o degree_n to_o the_o pole_n itself_o howsoever_o it_o may_v be_v probable_o think_v habitable_a yet_o afford_v it_o no_o convenient_a mean_n and_o sustenance_n for_o man_n life_n in_o respect_n of_o other_o place_n neither_o can_v the_o people_n of_o this_o climate_n enjoy_v any_o good_a complexion_n or_o temperament_n of_o the_o four_o quality_n for_o as_o much_o as_o the_o cold_a with_o they_o be_v so_o predominant_a that_o it_o choke_v and_o almost_o extinguish_v the_o natural_a h●at_n whence_o hypocrates_n say_v that_o they_o be_v dry_v up_o which_o be_v a_o cause_n of_o their_o swarthy_a colour_n and_o dwarfish_a stature_n which_o assertion_n of_o he_o can_v obtain_v no_o credit_n but_o of_o such_o northern_a people_n as_o live_v near_o the_o pole_n nevertheless_o we_o shall_v not_o find_v these_o poor_a northern_a nation_n so_o destitute_a altogether_o of_o vital_a aide_n but_o that_o their_o want_n be_v in_o some_o sort_n recompense_v by_o the_o benefit_n of_o nature_n the_o chief_a comfort_n in_o this_o kind_n which_o we_o enjoy_v and_o they_o seem_v to_o want_v be_v heat_n and_o light_n the_o defect_n of_o heat_n be_v somewhat_o mollify_v 1_o by_o the_o sun_n stay_v so_o long_o above_o their_o horizon_n as_o 6_o month_n and_o by_o consequence_n impress_v into_o the_o air_n a_o great_a degree_n of_o heat_n 2_o by_o the_o natural_a custom_n of_o the_o inhabitant_n never_o acquaint_v with_o any_o other_o temperature_n both_o which_o reason_n we_o have_v former_o allege_v 3_o by_o the_o industry_n of_o the_o inhabitant_n be_v teach_v by_o necessity_n to_o preserve_v themselves_o during_o the_o wintertime_n in_o cave_n stove_n and_o such_o like_a place_n heat_v with_o continual_a fire_n the_o defect_n of_o which_o providence_n be_v think_v to_o be_v the_o ruin_n of_o sr_n hugh_n willoughby_n intend_v a_o search_n of_o the_o north-east_n passage_n on_o the_o north_n of_o lapland_n and_o russia_n to_o recompense_v the_o defect_n of_o light_n nature_n have_v provide_v two_o way_n 1_o in_o that_o the_o sun_n in_o his_o parallel_n come_v near_a and_o near_o to_o the_o horizon_n give_v they_o a_o long_a time_n of_o glimmer_a light_n both_o before_o his_o rise_n and_o after_o his_o set_n which_o may_v serve_v they_o instead_o of_o day_n 2_o for_o that_o the_o sun_n and_o star_n by_o reason_n of_o a_o refraction_n in_o a_o vaporous_a and_o foggy_a horizon_n appe●re●●o_o the●_n sometime_o before_o he_o be_v true_o rise_v which_o cause_v the_o hollander_n nova_fw-la zombla_fw-fr to_o wonder_v why_o they_o shall_v see_v the_o sun_n diverse_a day_n before_o according_a to_o their_o account_n he_o be_v to_o rise_v above_o their_o horizon_n according_a to_o astronomical_a ground_n which_o problem_n have_v stagger_v all_o the_o mathematician_n of_o the_o world_n have_v not_o the_o perspective_n science_n step_v in_o to_o give_v a_o answer_n 3_o in_o the_o middle_a section_n betwixt_o 30_o and_o 60_o degree_n of_o latitude_n the_o first_o 15_o be_v temperate_o hot_a the_o other_o 15_o more_o incline_v to_o cold._n the_o middle_a region_n partake_v a_o mixture_n of_o both_o extreme_n towit_n of_o the_o cold_a region_n towards_o the_o pole_n and_o the_o hot_a towards_o the_o equatour_n whence_o it_o must_v needs_o follow_v that_o the_o more_o any_o part_n of_o this_o tract_n approach_v the_o hot_a region_n under_o the_o tropic_n and_o equatour_n the_o more_o it_o must_v partake_v of_o heat_n yet_o this_o heat_n be_v mitigate_v by_o some_o cold_a by_o reason_n of_o the_o fire_n of_o the_o sun_n it_o must_v of_o necessity_n be_v temperate_a and_o very_a apt_a for_o humane_a habitation_n also_o this_o mixture_n of_o the_o cold_a quality_n be_v more_o extend_v and_o increase_v on_o the_o other_o moiety_n towards_o the_o pole_n through_o the_o vicinity_n of_o the_o cold_a region_n must_v loose_v much_o of_o the_o former_a heat_n which_o shall_v hereafter_o be_v more_o confirm_v out_o of_o the_o natural_a constitution_n and_o complexion_n of_o the_o inhabitant_n bear_v the_o true_a mark_n of_o external_a cold_a and_o internal_a heat_n whereof_o the_o one_o be_v strengthen_v by_o the_o other_o for_o the_o external_a cold_a if_o it_o be_v not_o over_o predominant_a and_o too_o much_o for_o the_o internal_a heat_n will_v by_o a_o antiperistasis_n keep_v in_o and_o condensate_a this_o heat_n make_v it_o more_o fervent_a and_o vigorous_a 6_o the_o east_n and_o west_n hemisphere_n be_v bound_v and_o divide_v by_o the_o meridian_n pass_v by_o the_o canary_n and_o the_o molucco_n land_n 7_o the_o east_n hemisphere_n reach_v from_o the_o canary_n the_o moluccoe_n on_o this_o side_n as_o the_o other_o on_o the_o opposite_a part_n of_o the_o sphere_n we_o may_v here_o note_v a_o great_a difference_n betwixt_o this_o division_n and_o the_o former_a fo●_n the_o north_n and_o south_n hemisphere_n be_v divide_v by_o the_o equatour_n be_v part_v as_o it_o be_v by_o nature_n itself_o and_o the_o sun_n motion_n but_o the_o division_n of_o the_o globe_n into_o east_n and_o west_n we_o can_v ascribe_v to_o no_o other_o cause_n than_o man_n institution_n yet_o be_v the_o eastern_a and_o the_o western_a find_v to_o differ_v many_o way_n the_o discovery_n of_o which_o may_v give_v great_a light_n to_o observation_n 1_o the_o eastern_a hemisphere_n wherein_o we_o live_v be_v every_o way_n happy_a and_o worthy_a than_o the_o other_o westward_o how_o far_o short_a the_o western_a hemisphere_n come_v of_o this_o of_o we_o many_o circumstance_n may_v declare_v for_o first_o if_o we_o compare_v the_o quantity_n of_o land_n we_o shall_v find_v a_o great_a disparity_n for_o the_o western_a hemisphere_n contain_v in_o it_o beside_o the_o southern_a continent_n wherein_o our●_n also_o claim_v a_o moiety_n only_a america_n with_o the_o land_n thereunto_o adjoin_v whereas_o the_o other_o within_o this_o large_a circuit_n contain_v all_o the_o other_o part_n of_o the_o earth_n know_v unto_o the_o ancient_n as_o europe_n asia_n and_o africa_n with_o many_o land_n to_o they_o annex_v moreover_o it_o be_v probable_o conjecture_v by_o some_o that_o america_n be_v usual_o on_o our_o map_n and_o globe_n especial_o the_o more_o ancient_a paint_a and_o delineate_v out_o great_a than_o indeed_o it_o be_v which_o have_v be_v ascribe_v to_o the_o fraudulent_a deceit_n of_o the_o portugall_n heretofore_o who_o to_o the_o end_n they_o may_v reduce_v the_o molucco_n land_n to_o the_o east_n indies_n than_o their_o own_o possession_n seek_v as_o well_o in_o their_o map_n as_o relation_n to_o curtail_v asia_n and_o enlarge_v america_n in_o such_o sort_n as_o the_o moluc●o_v land_n may_v seem_v to_o fall_v within_o the_o 180_o degree_n eastward_o wherein_o they_o
to_o be_v abc_n from_o the_o extreme_a angle_n of_o this_o triangle_n we_o will_v suppose_v certain_a ray_n to_o be_v draw_v through_o the_o hole_n d_o into_o a_o dark_a place_n wherein_o shall_v be_v oppose_v to_o the_o hole_n d_o a_o white_a table_n or_o paper_n which_o shall_v be_v nm_n here_o will_v a_o ray_n from_o the_o point_n design_v out_o the_o angle_n at_o a_o be_v carry_v through_o the_o hole_n that_o it_o will_v point_v out_o in_o the_o table_n k_o because_o all_o such_o beam_n according_a to_o the_o optic_n be_v right_a line_n likewise_o the_o angle_n b_o will_n in_o the_o table_n design_n out_o the_o point_n i_o also_o c_o will_v fall_v into_o the_o point_n h_n let_v kh_n ik_fw-mi he_o be_v join_v together_o by_o right_a line_n there_o will_v appear_v the_o triangle_n ikh_n wherein_o the_o top_n of_o the_o triangle_n a_o will_v be_v see_v in_o the_o low_a place_n k_o likewise_o the_o angle_n of_o the_o basis_n b_o and_o c_o will_v appear_v in_o the_o point_n of_o the_o high_a place_n he_o and_o the_o right_a side_n a_o c_o will_v show_v itself_o in_o the_o left_a hk_n as_o the_o left_a side_n will_v be_v the_o right_n in_o ih_o wherefore_o the_o side_n of_o the_o whole_a triangle_n abc_n will_v show_v itself_o in_o the_o table_n nm_n although_o inverse_o place_v according_a to_o the_o side_n and_o angle_n and_o of_o a_o various_a greatness_n in_o respect_n of_o the_o distance_n of_o the_o table_n from_o the_o hole_n the_o invention_n have_v great_a use_n in_o astronomy_n in_o observe_v eclipse_n the_o beginning_n and_o continuance_n without_o any_o hurt_n at_o all_o to_o the_o sight_n no_o less_o use_n may_v it_o challenge_v in_o topography_n in_o describe_v of_o territory_n city_n borrow_v castle_n and_o such_o like_a in_o their_o due_a symmetry_n and_o proportion_n to_o practice_v which_o the_o better_a reusner_n will_v have_v a_o little_a house_n build_v of_o light_a timber_n with_o a_o muliangle_n basis_n in_o every_o one_o of_o who_o side_n a_o hole_n shall_v be_v make_v look_v inward_o at_o the_o vertex_fw-la or_o top_n but_o outward_o at_o the_o basis_n through_o which_o the_o species_n or_o image_n of_o all_o such_o thing_n a●_n be_v visible_a may_v have_v free_a passage_n 2_o the_o manner_n of_o translation_n of_o a_o region_n into_o the_o chart_n depend_v from_o the_o knowledge_n of_o the_o longitude_n and_o latitude_n 3_o the_o part_n to_o be_v describe_v whereof_o the_o chart_n consist_v be_v either_o essential_a or_o accidental_a the_o essential_a be_v either_o the_o line_n as_o be_v the_o meridian_n and_o parallel_n or_o the_o place_n to_o be_v delineate_v out_o by_o picture_n the_o declination_n of_o both_o which_o shall_v be_v teach_v in_o these_o rule_n 1_o to_o set_v down_o the_o meridian_n and_o parallel_n in_o a_o particular_a chart_n to_o show_v the_o practice_n hereof_o we_o will_v take_v for_o instance_n the_o region_n of_o france_n a_o example_n familiar_a with_o our_o late_a topographer_n and_o therefore_o can_v better_o warrant_v the_o description_n france_n be_v suppose_v to_o have_v in_o latitude_n 10._o degree_n in_o longitude_n 16_o this_o know_v you_o must_v proceed_v in_o this_o manner_n first_o through_o the_o middle_n of_o your_o table_n from_o head_n to_o foot_n let_v there_o be_v draw_v a_o perpendicular_a line_n express_v the_o meridian_n of_o the_o world_n which_o shall_v be_v mark_v with_o the_o letter_n of_o let_v this_o line_n be_v divide_v into_o 10._o equal_a part_n then_o draw_v two_o parallel_n line_n whereof_o the_o one_o must_v cross_v the_o say_a line_n about_o the_o point_n e_o with_o right_a angle_n and_o the_o other_o parallel_n must_v cross_v it_o again_o beneath_o in_o the_o point_n f_o with_o like_a angle_n let_v the_o uppermost_a parallel_n be_v express_v by_o ab_fw-la the_o neathermost_a with_o cd_o then_o with_o your_o compass_n take_v one_o of_o the_o 10_o part_n of_o the_o line_n of_o which_o be_v one_o degree_n and_o set_v that_o down_o apart_o by_o itself_o divide_v the_o same_o into_o 60_o minute_n as_o the_o short_a line_n gh_o in_o the_o table_n here_o insert_v will_v show_v on_o the_o right_a hand_n now_o you_o may_v learn_v by_o some_o table_n or_o map_n that_o the_o far_a part_n of_o france_n towards_o the_o north_n through_o which_o be_v draw_v the_o parallel_n ab_fw-la be_v 52._o degree_n distant_a from_o the_o equatour_n and_o that_o the_o south_n parallel_n cd_o be_v distant_a 42_o degree_n also_o certain_a table_n in_o our_o former_a book_n will_v inform_v you_o that_o to_o every_o degree_n of_o the_o parallel_n 42._o delineate_v by_o ab_fw-la do_v answer_v 37_o mile_n and_o that_o to_o every_o degree_n of_o the_o parallel_n cd_o answer_v 45_o mile_n wherefore_o with_o your_o compass_n take_v from_o the_o short_a line_n gh_o 37_o part_n or_o minute_n and_o with_o your_o compass_n keep_v at_o the_o same_o largeness_n let_v the_o parallel_n ab_fw-la be_v divide_v into_o 16_o equal_a space_n correspondent_a to_o that_o wideness_n that_o be_v to_o say_v on_o each_o side_n of_o the_o meridian_n 8_o part_n at_o which_o meridian_n of_o you_o must_v begin_v your_o measure_n towards_o either_o hand_n both_o right_a and_o left_a mark_v the_o end_n of_o every_o such_o space_n with_o a_o certain_a point_n moreover_o for_o the_o south_n parallel_n cd_o let_v 45_o part_n likewise_o be_v take_v from_o the_o short_a line_n gh_o and_o let_v that_o parallel_n be_v divide_v into_o 16_o space_n correspondent_a to_o that_o wideness_n of_o the_o compass_n eight_o space_n be_v set_v down_o on_o each_o side_n of_o the_o meridian_n of_o so_o that_o we_o must_v begin_v from_o the_o meridian_n of_o and_o mark_v the_o end_n of_o every_o such_o space_n with_o a_o point_n then_o from_o those_o point_n wherewith_o each_o of_o those_o two_o parallel_n ab_fw-la and_o cd_o be_v mark_v let_v there_o be_v draw_v a_o right_a line_n from_o point_n to_o point_n and_o those_o shall_v serve_v for_o meridian_n express_v as_o well_o the_o longitude_n of_o the_o whole_a region_n as_o of_o every_o particular_a place_n therein_o seat_v in_o like_a sort_n as_o you_o have_v divide_v the_o meridian_n of_o into_o 10_o equal_a part_n so_o again_o into_o the_o like_a number_n of_o equal_a part_n must_v be_v divide_v each_o of_o the_o two_o uttermost_a meridian_n on_o the_o left_a hand_n and_o the_o right_n mark_v with_o a_o point_n the_o end_n of_o every_o such_o space_n and_o so_o from_o point_n to_o point_n let_v there_o be_v draw_v right_a line_n cut_v all_o the_o meridian_n and_o those_o shall_v serve_v for_o parallel_n and_o in_o the_o uttermost_a space_n let_v there_o be_v write_v the_o number_n of_o longîtude_n and_o latitude_n the_o longitude_n be_v suppose_v to_o begin_v at_o the_o uttermost_a meridian_n at_o the_o left_a hand_n which_o in_o both_o parallel_n be_v the_o far_a meridian_n westward_o now_o for_o as_o much_o as_o the_o most_o westerly_a meridian_n be_v fourteen_o degree_n distant_a from_o the_o meridian_n pass_v by_o the_o canary_n land_n from_o which_o as_o the_o first_o meridian_n the_o ancient_n begin_v their_o account_n you_o must_v set_v down_o in_o the_o first_o place_n on_o the_o left_a hand_n as_o well_o over_o as_o under_o in_o the_o first_o space_n 15_o in_o the_o second_o 16_o in_o the_o three_o 17_o and_o so_o orderly_o proceed_v through_o all_o the_o space_n till_o you_o come_v to_o 30_o for_o the_o difference_n betwixt_o 14_o and_o 30_o be_v 16_o so_o you_o have_v the_o whole_a longitude_n of_o france_n express_v in_o your_o table_n which_o be_v 16_o degree_n in_o the_o like_a sort_n to_o express_v the_o latitude_n have_v the_o degree_n of_o latitude_n mark_v out_o you_o must_v begin_v at_o each_o end_n of_o the_o south_n parallel_n cd_o and_o so_o proceed_v upward_o in_o the_o two_o uttermost_a meridian_n write_v down_o in_o the_o first_o space_n at_o the_o foot_n of_o the_o table_n 43_o degree_n on_o the_o right_a hand_n and_o the_o left_a in_o the_o second_o space_n 44_o in_o the_o three_o 45_o and_o so_o upward_o along_o to_o 52_o so_o have_v you_o express_v the_o whole_a latitude_n of_o france_n from_o north_n to_o south_n for_o betwixt_o 42_o and_o 52_o be_v comprehend_v just_a 10_o degree_n these_o degree_n may_v again_o be_v divide_v at_o pleasure_n into_o lesser_a part_n as_o minute_n according_a to_o the_o largeness_n of_o your_o chart_n 2_o to_o set_v down_o city_n castle_n mountain_n river_n and_o such_o like_a special_a place_n in_o the_o chart_n the_o platform_n of_o your_o chart_n be_v once_o draw_v out_o as_o we_o have_v former_o teach_v in_o the_o precedent_a rule_n you_o may_v very_o easy_o set_v down_o special_a place_n by_o observation_n of_o the_o longitude_n or_o latitude_n of_o such_o place_n either_o by_o
see_v in_o this_o figure_n wherein_o the_o line_n cd_o represent_v unto_o we_o the_o sensible_a horizon_n the_o line_n ab_fw-la the_o rational_a the_o former_a be_v call_v natural_a or_o physical_a because_o it_o come_v under_o the_o measure_n and_o apprehension_n of_o the_o sense_n the_o other_o astronomical_a because_o it_o be_v of_o great_a use_n in_o astronomy_n in_o the_o resolution_n of_o the_o horizon_n into_o his_o part_n we_o ought_v to_o consider_v two_o thing_n first_o the_o pole_n of_o the_o horizon_n second_o his_o periphery_n or_o circumference_n the_o pole_n be_v common_o call_v zenith_n or_o nadir_n the_o zenith_n be_v the_o vertical_a point_n direct_o place_v over_o our_o head_n whereunto_o be_v opposite_a on_o the_o other_o side_n the_o nadir_n direct_o under_o our_o foot_n and_o therefore_o may_v be_v call_v the_o pedal_n point_n the_o part_n or_o intersection_n in_o the_o circumference_n be_v design_v out_o unto_o we_o by_o certain_a line_n discover_v the_o coast_n in_o the_o terrestrial_a globe_n these_o line_n be_v call_v either_o wind_n or_o rhumbe_n the_o wind_n with_o the_o grecian_n be_v only_a 8._o but_o the_o latter_a navigator_n have_v increase_v they_o to_o the_o number_n of_o 32_o whereof_o four_o be_v call_v cardinal_n to_o wit_n such_o as_o be_v direct_v to_o the_o four_o coast_n of_o east_n west_n north_n and_o south_n the_o other_o be_v collateral_a be_v place_v on_o each_o side_n of_o the_o cardinal_n wind_n the_o rhumbe_n be_v line_n pass_v by_o the_o vertical_a point_n of_o any_o place_n as_o you_o may_v see_v in_o the_o compass_n go_v before_o now_o because_o one_o rhumbe_n answer_v to_o two_o coast_n or_o wind_n the_o number_n of_o the_o rhumbe_n be_v but_o half_a the_o number_n of_o the_o wind_n to_o wit_n 16._o here_o it_o be_v to_o be_v note_v that_o a_o rhumbe_n differ_v from_o a_o wind_n whereas_o a_o rhumber_n be_v one_o line_n point_v out_o unto_o we_o two_o wind_n or_o coast_n these_o rhumbe_n as_o they_o be_v conceive_v in_o the_o globe_n be_v think_v by_o nonnus_n to_o be_v the_o portion_n of_o great_a circle_n but_o learned_a mr_n hues_n in_o his_o book_n out_o of_o undoubted_a principle_n strong_o confute_v he_o the_o ground_n which_o he_o take_v be_v these_o first_o that_o all_o meridian_n of_o all_o place_n pass_v the_o pole_n and_o cut_v the_o equatour_n and_o all_o his_o parallel_n at_o right_a angle_n second_o if_o our_o course_n shall_v be_v direct_o any_o way_n else_o then_o towards_o one_o of_o the_o pole_n a_o new_a meridian_n must_v succeed_v and_o a_o new_a horizon_n three_o that_o the_o iron_n needle_n be_v touch_v with_o the_o loadstone_n show_v the_o common_a section_n of_o the_o meridian_n and_o the_o horizon_n and_o on_o one_o side_n perpetual_o respect_v the_o north_n on_o the_o other_o the_o south_n four_o the_o same_o rhumbe_n cut_v all_o the_o meridian_n atall_a place_n at_o equal_a angle_n and_o every_o where_o respect_v the_o like_a coast_n in_o the_o world_n five_o that_o a_o great_a circle_n draw_v by_o the_o vertical_a point_n if_o remove_v from_o the_o equatour_n can_v cut_v diverse_a meridian_n at_o equal_a angle_n six_o a_o great_a circle_n draw_v by_o the_o vertical_a point_n of_o any_o place_n make_v great_a angle_n with_o all_o other_o meridian_n then_o with_o that_o from_o which_o it_o be_v first_o draw_v whence_o it_o be_v necessary_a that_o the_o line_n which_o shall_v be_v suppose_v to_o make_v angle_n with_o diverse_a meridian_n as_o the_o rhumbe_n shall_v be_v bow_v towards_o the_o meridian_n i_o know_v not_o what_o will_v be_v more_o say_v against_o the_o opinion_n of_o p._n nonnus_n who_o will_v have_v all_o the_o rhumbe_n to_o be_v portion_n of_o great_a circle_n to_o illustrate_v further_o the_o nature_n and_o use_n of_o the_o horizon_n we_o will_v insert_v these_o theorem_n 2_o the_o sensible_a and_o rational_a horizon_n in_o the_o earth_n be_v much_o different_a in_o respect_n of_o the_o firmament_n all_o one_o 6._o it_o may_v be_v gather_v out_o of_o the_o supposition_n of_o ptolemy_n and_o alphraganus_n and_o almost_o all_o other_o astronomer_n that_o no_o man_n be_v place_v on_o the_o surface_n of_o the_o earth_n can_v precise_o see_v the_o half_a of_o it_o for_o that_o horizon_n which_o terminate_v our_o sight_n as_o we_o have_v show_v be_v a_o plain_a superficies_n every_o way_n circular_o extend_v in_o the_o earth_n in_o such_o sort_n as_o man_n place_v either_o in_o the_o sea_n in_o a_o ship_n or_o in_o a_o great_a field_n or_o country_n will_v think_v the_o visible_a part_n of_o the_o earth_n to_o be_v plain_a who_o end_n will_v seem_v to_o touch_v the_o heaven_n whence_o must_v needs_o come_v to_o pass_v that_o such_o a_o horizon_n can_v divide_v the_o sphere_n of_o the_o ●arth_n into_o two_o equal_a part_n for_o so_o much_o will_v be_v find_v want_v as_o be_v measure_v betwixt_o that_o superficies_n which_o touch_v the_o earth_n and_o that_o which_o pass_v by_o the_o centre_n of_o it_o equidistant_a from_o the_o other_o for_o this_o late_a only_o can_v divide_v the_o earth_n into_o 2_o equal_a part_n 1._o according_a to_o theodosius_n and_o may_v well_o be_v see_v in_o the_o 149._o former_a figure_n wherein_o be_v express_v both_o orison_n as_o well_o the_o visible_a as_o invisible_a touch_v the_o sphere_n in_o a_o point_n on_o the_o superficies_n as_o the_o rational_a pass_v by_o the_o centre_n nevertheless_o we_o must_v consider_v that_o the_o quantity_n intercept_v betwixt_o these_o two_o orison_n in_o the_o terrestrial_a sphere_n be_v of_o little_a or_o no_o moment_n compare_v with_o the_o whole_a frame_n of_o the_o heaven_n for_o since_o the_o heaven_n be_v so_o far_o distant_a from_o we_o it_o will_v come_v to_o pass_v that_o if_o two_o equidistant_a line_n shall_v be_v draw_v the_o one_o from_o the_o eye_n the_o other_o from_o the_o centre_n of_o the_o earth_n to_o the_o firmament_n they_o will_v according_a to_o sense_n appear_v one_o and_o the_o selfsame_o by_o reason_n of_o the_o wonderful_a distance_n as_o we_o see_v in_o a_o long_a gallery_n who_o wall_n have_v a_o equal_a distance_n the_o one_o from_o the_o other_o the_o wall_n will_v notwithstanding_o according_a to_o opticall_a principle_n seem_v wide_a where_o they_o be_v near_o and_o to_o close_v and_o shut_v up_o at_o the_o end_n or_o at_o least_o to_o concur_v near_o much_o more_o must_v we_o imagine_v this_o to_o happen_v in_o the_o sight_n if_o we_o compare_v the_o greatness_n of_o the_o firmament_n with_o the_o sphere_n of_o the_o earth_n in_o who_o magnitude_n we_o shall_v find_v a_o incomparable_a disparity_n this_o will_v appear_v by_o the_o apparence_n for_o we_o shall_v see_v the_o six_o sign_n of_o the_o zodiac_n conspicuous_a above_o our_o horizon_n and_o the_o other_o six_o under_o it_o hide_v from_o our_o sight_n also_o the_o sun_n and_o moon_n when_o they_o be_v diametral_o oppose_v almost_o at_o the_o same_o moment_n will_v appear_v the_o one_o in_o the_o east_n the_o other_o in_o the_o west_n at_o least_o the_o one_o will_v rise_v soon_o upon_o the_o set_n of_o the_o other_o and_o if_o we_o believe_v pliny_n the_o moon_n be_v observe_v to_o be_v eclipse_v in_o the_o east_n point_n the_o sun_n at_o the_o same_o time_n be_v in_o a_o sort_n above_o the_o horizon_n in_o the_o west_n such_o a_o eclipse_n can_v not_o happen_v without_o a_o diametrall_a opposition_n of_o the_o two_o light_n and_o therefore_o can_v the_o sensible_n and_o the_o rational_a horizon_n have_v no_o sensible_a difference_n in_o respect_n of_o the_o firmament_n 2_o the_o sensible_a horizon_n may_v be_v great_a or_o lesser_a according_a to_o the_o nature_n and_o disposition_n of_o the_o place_n in_o this_o consideration_n we_o take_v no_o notice_n of_o the_o difference_n of_o sight_n whether_o they_o be_v weak_a or_o sharp_a but_o suppose_v a_o eye_n sufficient_a to_o ken_v so_o far_o in_o the_o earth_n as_o the_o place_n will_v permit_v the_o difference_n then_o betwixt_o diverse_a orison_n must_v be_v seek_v out_o in_o the_o condition_n of_o the_o place_n a_o sight_n place_v on_o the_o top_n of_o a_o high_a mountain_n may_v see_v much_o far_a than_o one_o in_o a_o low_a valley_n compass_v about_o with_o hill_n for_o as_o much_o as_o the_o semidiameter_n of_o the_o sensible_a horizon_n which_o be_v equal_a to_o the_o ray_n or_o line_n draw_v from_o the_o extreme_a part_n of_o the_o visible_a earth_n be_v much_o great_a the_o most_o indifferent_a judgement_n of_o this_o horizon_n may_v be_v take_v from_o the_o superficies_n of_o the_o sea_n beyond_o sight_n of_o land_n for_o a_o man_n thereon_o sail_v in_o a_o ship_n may_v perceive_v the_o surface_n of_o the_o sea_n as_o a_o plain_a on_o every_o side_n to_o bound_v the_o sight_n in_o a_o round_a circle_n
seem_v together_o to_o terminate_v the_o end_n of_o the_o earth_n and_o protension_n of_o the_o sight_n what_o the_o semidiameter_n of_o this_o horizon_n shall_v be_v have_v not_o be_v yet_o agree_v upon_o by_o all_o erastothenes_n will_v have_v it_o to_o be_v 44_o mile_n macrobius_n 23._o proclus_n 250._o albertus_n magnus_n 125._o these_o difference_n seem_v too_o great_a to_o admit_v of_o reconcilement_n yet_o take_v into_o our_o consideration_n the_o disparity_n in_o account_n of_o mile_n betwixt_o the_o modern_a and_o ancient_a cosmographer_n as_o also_o betwixt_o the_o greek_n and_o latin_n 2_o the_o diverse_a place_n of_o the_o sight●_n the_o various_a disposition_n of_o the_o place_n wherein_o they_o take_v their_o observation_n with_o other_o circumstance_n we_o shall_v diminish_v much_o of_o admiration_n but_o diverse_a other_o who_o opinion_n be_v more_o approve_a by_o modern_a cosmographer_n have_v define_v it_o to_o be_v about_o 63_o mile_n the_o cause_n why_o this_o horizon_n shall_v be_v so_o little_a in_o respect_n of_o the_o rational_a which_o pass_v by_o the_o centre_n be_v the_o roundness_n of_o the_o earth_n interpose_v betwixt_o the_o sight_n and_o the_o far_a part_n which_o we_o have_v former_o prove_v 3_o the_o eye_n may_v be_v so_o place_v on_o the_o earth_n as_o it_o may_v behold_v the_o whole_a hemisphere_n of_o the_o heaven_n and_o yet_o no_o part_n of_o the_o terrestrial_a sphere_n this_o may_v seem_v a_o paradox_n with_o vulgar_a judgement_n but_o it_o want_v not_o a_o demonstration_n draw_v from_o astronomical_a and_o optic_a principle_n to_o explain_v which_o we_o must_v suppose_v out_o of_o the_o ground_n already_o grant_v 1_o that_o the_o sensible_a and_o rational_a horizon_n in_o respect_n of_o the_o heaven_n aught_o to_o be_v esteem_v one_o and_o the_o self_n same_o by_o reason_n of_o the_o great_a distance_n and_o disproportion_n betwixt_o the_o earth_n and_o the_o firmament_n 2_o that_o the_o eye_n of_o the_o beholder_n be_v in_o this_o sort_n suppose_v to_o be_v in_o the_o centre_n because_o in_o this_o consideration_n the_o distance_n betwixt_o the_o superficies_n of_o the_o earth_n and_o her_o centre_n be_v insensible_a 3_o that_o the_o visual_a ray_n wherein_o the_o sight_n be_v carry_v be_v always_o a_o right_a line_n now_o suppose_v according_a to_o our_o former_a figure_n the_o centre_n of_o the_o eye_n wherein_o consist_v the_o sight_n to_o be_v in_o the_o point_n of_o the_o terrestrial_a surface_n f_o the_o distance_n as_o we_o say_v betwixt_o f_o and_o e_o the_o centre_n be_v insensible_a the_o eye_n be_v imagine_v in_o the_o centre_n likewise_o the_o orison_n cfd_v and_o aeb_n for_o the_o same_o cause_n in_o respect_n of_o the_o heaven_n be_v to_o be_v esteem_v one_o and_o the_o same_o because_o ca_n and_o db_n have_v no_o sensible_a difference_n it_o be_v then_o manifest_a that_o the_o eye_n so_o place_v will_v behold_v in_o the_o heavenly_a sphere_n all_o which_o be_v include_v betwixt_o a_o and_o b_o to_o wit_n the_o hemisphere_n agb_n bound_v by_o the_o rational_a horizon_n aeb_n nevertheless_o in_o the_o terrene_a globe_n it_o can_v see_v nothing_o at_o all_o for_o either_o it_o shall_v see_v only_o the_o point_n f_o wherein_o it_o be_v seat_v or_o else_o some_o other_o point_n or_o part_v distant_a from_o it_o the_o former_a can_v be_v admit_v because_o the_o eye_n be_v there_o suppose_v to_o be_v place_v shall_v according_a to_o this_o supposition_n behold_v itself_o which_o be_v against_o philosophy_n for_o grant_v the_o sense_n only_o a_o direct_a and_o not_o a_o reflex_n operation_n it_o can_v be_v imagine_v how_o it_o shall_v perceive_v itself_o final_o it_o can_v see_v any_o point_n in_o the_o earth_n beside_o for_o then_o this_o point_n will_v either_o be_v place_v above_o the_o point_n f_o but_o this_o can_v be_v because_o f_o be_v suppose_v in_o the_o superficies_n admit_v of_o no_o point_n high_o in_o the_o sphere_n or_o else_o under_o it_o but_o this_o can_v be_v because_o cfd_n be_v a_o tangent_fw-la line_n and_o touch_v the_o sphere_n in_o f_o only_o there_o can_v according_o to_o geometrical_a principle_n be_v draw_v any_o right_a line_n from_o the_o point_n f_o which_o can_v touch_v any_o point_n in_o the_o say_a sphere_n but_o all_o will_v cut_v it_o and_o so_o the_o section_n cause_n impediment_n to_o the_o sight_n the_o earth_n be_v a_o opacous_a and_o round_a body_n 4_o from_o the_o horizontall_a circle_n be_v reckon_v the_o elevation_n of_o the_o pole_n in_o any_o place_n assign_v the_o find_v out_o of_o the_o elevation_n of_o the_o pole_n be_v a_o matter_n most_o necessary_a for_o a_o cosmographer_n as_o shall_v appear_v after_o where_o we_o shall_v speak_v of_o the_o latitude_n and_o climate_n it_o be_v define_v to_o be_v a_o arch_n of_o the_o meridian_n betwixt_o the_o horizon_n and_o the_o pole_n for_o the_o find_n out_o of_o which_o many_o way_n have_v be_v devise_v by_o artificer_n the_o first_o be_v take_v from_o the_o sun_n the_o second_o from_o the_o polestar_n from_o the_o sun_n it_o may_v be_v perform_v two_o way_n 1_o at_o the_o time_n of_o the_o equinoxe_n 2_o at_o any_o other_o time_n of_o the_o year_n at_o the_o time_n of_o the_o equinoxe_n it_o may_v be_v find_v out_o by_o the_o observation_n of_o the_o sun_n shadow_n at_o noontide_n in_o this_o manner_n let_v the_o meridian_n height_n of_o the_o sun_n be_v subtract_v from_o the_o whole_a quadrant_a which_o be_v 90_o degree_n there_o will_v remain_v the_o distance_n of_o the_o zenith_n to_o the_o equator_fw-la which_o be_v equal_a to_o the_o elevation_n of_o the_o pole_n in_o the_o second_o place_n at_o any_o time_n of_o the_o year_n to_o know_v the_o elevation_n of_o the_o pole_n out_o of_o the_o meridian_n height_n of_o the_o sun_n it_o be_v necessary_a out_o of_o a_o ephemerides_n or_o any_o other_o way_n accurate_o to_o find_v out_o the_o place_n of_o the_o sun_n in_o his_o ecliptic_a for_o the_o day_n propose_v together_o with_o his_o declination_n for_o the_o declination_n of_o the_o sun_n the_o sun_n be_v in_o the_o six_o northern_a sign_n subtract_v from_o the_o meridian_n altitude_n or_o add_v the_o sun_n be_v in_o the_o six_o southern_a sign_n will_v precise_o give_v the_o height_n of_o the_o equator_fw-la or_o which_o be_v the_o same_o the_o meridian_n height_n of_o the_o sun_n in_o the_o equinoctial_a which_o be_v once_o find_v we_o may_v work_v as_o in_o the_o former_a by_o the_o polestar_n we_o may_v likewise_o find_v it_o out_o if_o we_o observe_v it_o three_o distinct_a time_n in_o the_o same_o night_n for_o three_o point_n be_v give_v every_o geometrician_n will_v find_v out_o the_o centre_n which_o in_o this_o case_n must_v be_v the_o pole_n many_o other_o way_n have_v be_v invent_v by_o skilful_a astronomer_n which_o appertain_v rather_o to_o astronomy_n then_o cosmography_n i_o purposely_o omit_v 24_o concern_v the_o horizon_n two_o thing_n be_v chief_o to_o be_v note_v the_o invention_n and_o the_o distinction_n the_o invention_n be_v consider_v either_o as_o it_o concern_v the_o zenith_n or_o pole_n or_o the_o plain_a of_o the_o horizon_n for_o both_o which_o we_o will_v set_v down_o these_o rule_n 1_o the_o height_n of_o the_o pole_n subtract_v from_o the_o quadrant_a of_o 90_o degree_n the_o residue_n will_v show_v the_o zenith_n or_o distance_n of_o the_o zenith_n from_o the_o pole_n the_o reason_n be_v evident_a because_o the_o height_n of_o the_o pole_n together_o with_o the_o distance_n of_o the_o pole_n and_o the_o zenith_n make_v a_o arch_n which_o be_v a_o whole_a quadrant_a so_o that_o the_o height_n of_o the_o pole_n subduct_v the_o distance_n will_v remain_v as_o for_o example_n if_o we_o put_v the_o elevation_n of_o the_o pole_n here_o in_o oxford_n to_o be_v 51_o ½_o degree_n or_o thereabouts_o as_o have_v be_v former_o teach_v let_v these_o 51_o ½_o degree_n be_v subtract_v from_o 90_o then_o will_v remain_v 38_o ½_o which_o be_v the_o true_a zenith_n for_o that_o place_n 2_o a_o line_n which_o make_v right_a angle_n with_o a_o plummet_n perpendicular_o fall_v on_o it_o will_v design_n the_o horizontall_a plain_a the_o practice_n of_o the_o proposition_n be_v usual_o show_v by_o artificer_n by_o a_o certain_a instrument_n call_v a_o level_n which_o be_v make_v in_o a_o triangle_n form_n from_o the_o vertex_fw-la or_o head_n of_o which_o a_o line_n with_o a_o plummet_n fall_v on_o the_o basis._n now_o when_o it_o shall_v be_v find_v to_o be_v so_o place_v that_o the_o line_n and_o plummet_n fall_v on_o the_o basis_n shall_v make_v right_a angle_n with_o it_o and_o cut_v the_o whole_a triangle_n into_o two_o equal_a half_n we_o may_v account_v the_o base-line_n to_o be_v the_o plain_a of_o the_o horizon_n for_o of_o this_o plain_a such_o be_v the_o position_n