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end_n draw_v line_n perpendicular_a 3,095 5 14.0786 5 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A64730 Cosmography and geography in two parts, the first, containing the general and absolute part of cosmography and geography, being a translation from that eminent and much esteemed geographer Varenius : wherein are at large handled all such arts as are necessary to be understand for the true knowledge thereof : the second part, being a geographical description of all the world, taken from the notes and works of the famous Monsieur Sanson, late geographer to the French King : to which are added about an hundred cosmographical, geographical and hydrographical tables of several kingdoms and isles of the world, with their chief cities, seaports, bays, &c. drawn from the maps of the said Sanson : illustrated with maps. Sanson, Nicolas, 1600-1667.; Blome, Richard, d. 1705.; Varenius, Bernhardus, 1622-1650. Geographia generalis. English. 1682 (1682) Wing V103; ESTC R2087 1,110,349 935

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let_v half_o the_o circumference_n be_v multiply_v into_o half_a the_o diameter_n and_o the_o product_n shall_v be_v the_o space_n demand_v according_a to_o the_o second_o proposition_n it_o be_v better_a to_o find_v out_o first_o the_o half_a diameter_n or_o half_a circumference_n by_o the_o forego_n problem_n although_o it_o may_v be_v dispatch_v without_o it_o twelve_o the_o half_a diameter_n or_o diameter_n of_o any_o globe_n be_v give_v to_o find_v the_o superficies_n thereof_o in_o square_a measure_n body_n the_o globe_n call_v a_o round_a solid_a body_n and_o its_o solidity_n in_o cubick_a measure_n the_o globe_n be_v call_v a_o round_a or_o solid_a body_n in_o who_o middle_a there_o be_v some_o point_n out_o of_o which_o all_o the_o strait_a line_n draw_v to_o the_o superficies_n be_v equal_a and_o this_o point_n in_o the_o middle_n be_v call_v the_o centre_n of_o the_o globe_n the_o line_n through_o the_o centre_n be_v call_v the_o diameter_n and_o it_o be_v call_v the_o 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the_o four_o chapter_n iu._n see_v chap._n iu._n after_o the_o part_n be_v thus_o take_v for_o the_o deg_fw-la of_o longitude_n in_o the_o superior_a and_o inferior_a line_n the_o right_a line_n be_v to_o be_v draw_v through_o the_o beginning_n and_o end_n of_o the_o part_n of_o the_o same_o number_n which_o right_a line_n shall_v represent_v the_o meridian_n line_n then_o through_o every_o deg_fw-la of_o its_o perpendicular_a which_o we_o have_v order_v to_o be_v erect_v from_o the_o middle_a point_n of_o the_o inferior_a line_n line_n parallel_n to_o that_o low_a line_n must_v be_v draw_v through_o the_o beginning_n of_o every_o degree_n which_o shall_v show_v the_o parallel_n of_o latitude_n in_o the_o last_o place_n place_n must_v be_v inscribe_v at_o the_o point_n in_o which_o the_o parallel_n of_o every_o
arch_n of_o fifteen_o degree_n beneath_o the_o horizontal_n line_n must_v be_v take_v in_o the_o describe_v periphery_n for_o the_o hour_n before_o six_o in_o the_o morning_n and_o six_o in_o the_o evening_n and_o the_o line_n of_o the_o shadow_n must_v be_v draw_v the_o perpendicular_a style_n must_v also_o be_v erect_v from_o the_o centre_n furthermore_o in_o the_o horizontal_n plain_a if_o that_o the_o plain_a of_o the_o scioterick_n be_v not_o yet_o erect_v the_o meridian_n line_n must_v be_v find_v and_o the_o line_n of_o the_o aequinoctial_a rise_n and_o set_v and_o so_o it_o must_v be_v place_v on_o or_o above_o this_o plain_a of_o the_o scioterick_n that_o the_o horizontal_n line_n of_o the_o scioterick_n may_v be_v parallel_n to_o this_o line_n of_o the_o rise_n and_o set_v so_o the_o shadow_n of_o the_o style_n shall_v show_v the_o beginning_n of_o the_o hour_n at_o every_o day_n of_o the_o year_n but_o because_o the_o sun_n only_o illustrate_v this_o one_o superficies_n of_o this_o plain_a half_a a_o year_n and_o the_o other_o another_o half_a year_n therefore_o in_o both_o the_o superficies_n a_o scioterick_n must_v be_v make_v after_o the_o appoint_a mode_n lay_v down_o before_o that_o on_o one_o side_n of_o it_o in_o the_o time_n of_o summer_n and_o spring_n in_o the_o other_o in_o the_o time_n of_o autumn_n the_o hour_n may_v be_v know_v by_o the_o benefit_n of_o the_o shadow_n the_o line_n of_o the_o circle_n which_o show_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a or_o the_o entrance_n of_o the_o sun_n into_o the_o twelve_o sign_n of_o the_o zodiac_n and_o which_o do_v represent_v the_o parallel_n which_o the_o sun_n describe_v in_o the_o heaven_n by_o his_o circumvolution_n may_v easy_o be_v draw_v on_o this_o aequinoctial_a scioterick_n for_o let_v a_o certain_a magnitude_n of_o the_o style_n be_v take_v and_o let_v it_o be_v accurate_o divide_v into_o ten_o part_n and_o one_o of_o thsee_v ten_o into_o ten_o other_o part_n that_o the_o whole_a line_n may_v be_v conceive_v to_o be_v cut_v into_o a_o hundred_o particle_n then_o from_o a_o table_n of_o declination_n let_v the_o declination_n of_o the_o sun_n be_v except_v the_o five_o the_o ten_o the_o fifteen_o the_o twenty_o the_o twenty_o five_o the_o thirty_o degree_n of_o aries_n or_o the_o first_o the_o fifteen_o degree_n of_o taurus_n the_o first_o the_o fifteen_o degree_n of_o taurus_n the_o first_o the_o fifteen_o degree_n of_o gemini_fw-la the_o first_o degree_n of_o cancer_n and_o let_v the_o tangent_n be_v take_v from_o the_o mathematical_a canon_n moreover_o from_o the_o centre_n of_o the_o horologe_n in_o the_o interval_n of_o the_o tangent_fw-la of_o compliment_n of_o the_o five_o degree_n of_o aries_n let_v the_o periphery_a of_o the_o circle_n be_v describe_v this_o will_v note_v the_o entrance_n of_o the_o sun_n into_o the_o five_o degree_n of_o aries_n and_o the_o twenty_o five_o of_o virgo_fw-la and_o the_o parallel_n of_o the_o sun_n for_o that_o day_n viz._n when_o the_o diurnal_a extremity_n of_o the_o shadow_n by_o its_o circumvolution_n shall_v fall_v on_o this_o describe_v periphery_n it_o shall_v be_v a_o sign_n that_o the_o sun_n be_v in_o the_o five_o degree_n of_o aries_n or_o the_o twenty_o five_o of_o virgo_fw-la after_o the_o same_o mode_n let_v the_o periphery_n be_v describe_v in_o the_o interval_n of_o the_o compliment_n of_o the_o ten_o and_o the_o twenty_o degree_n of_o aries_n the_o first_o and_o the_o fifteen_o of_o taurus_n the_o first_o and_o the_o fifteen_o of_o gemini_fw-la and_o the_o first_o degree_n of_o cancer_n those_o will_v show_v the_o parallel_n of_o the_o sun_n in_o those_o point_n and_o also_o in_o the_o point_n of_o the_o 20_o degree_n of_o virgo_fw-la the_o 10_o and_o the_o first_o of_o virgo_fw-la the_o 15_o of_o leo_n and_o the_o first_o of_o leo_n and_o the_o 15_o degree_n of_o cancer_n after_o the_o same_o mode_n on_o the_o other_o side_n of_o the_o scioterick_n let_v the_o periphery_n be_v describe_v for_o the_o parallel_n of_o the_o sun_n in_o the_o first_o degree_n of_o libra_n and_o the_o 25_o of_o pisces_fw-la in_o the_o 10_o of_o libra_n and_o the_o 20_o of_o pisces_fw-la in_o the_o 15_o of_o libra_n and_o the_o 15_o of_o pisces_fw-la in_o the_o first_o of_o scorpio_n and_o the_o first_o of_o pisces_fw-la in_o the_o 15_o of_o scorpio_n and_o the_o 15_o of_o aquarius_n and_o in_o the_o first_o degree_n of_o sagittarius_fw-la and_o the_o first_o of_o aquarius_n unto_o every_o one_o of_o these_o periphery_n the_o character_n of_o the_o sign_n of_o the_o zodiac_n must_v be_v ascribe_v proposition_n xxii_o to_o describe_v a_o horizontal_n scioterick_n or_o a_o horizontal_n plain_n describe_v a_o horizontal_n scioterick_n or_o horizontal_n plain_a describe_v by_o the_o globe_n let_v the_o pole_n and_o meridian_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n which_o meridian_n be_v more_o conspicuous_a than_o the_o other_o line_n in_o the_o superficies_n both_o for_o colour_n and_o magnitude_n let_v it_o be_v bring_v under_o the_o brazen_a meridian_n let_v the_o index_n be_v place_v at_o the_o hour_n of_o twelve_o let_v the_o globe_n be_v turn_v round_o until_o the_o index_n show_v the_o hour_n one_o or_o eleven_o or_o until_o 15_o degree_n of_o the_o aequator_fw-la do_v pass_v the_o brazen_a meridian_n in_o this_o situation_n of_o the_o globe_n let_v the_o degree_n intercept_v between_o the_o brazen_a meridian_n and_o the_o meridian_n of_o the_o globe_n be_v number_v on_o the_o wooden_a horizon_n and_o let_v this_o hour_n be_v note_v for_o the_o hour_n of_o one_o after_o noon_n and_o eleven_o before_o noon_n then_o let_v the_o globe_n be_v turn_v again_o until_o the_o index_n show_v the_o hour_n 11_o or_o 10_o and_o let_v the_o degree_n intercept_v between_o those_o two_o meridian_n the_o brazen_a one_o and_o that_o assume_v be_v note_v for_o the_o 10_o or_o 11_o hour_n after_o the_o same_o manner_n let_v it_o be_v do_v for_o the_o hour_n 9_o and_o 3_o for_o 8_o and_o 4_o for_o 7_o and_o 5_o for_o 6_o and_o 6_o but_o we_o shall_v not_o want_v this_o hour_n for_o 5_o and_o 7_o for_o 4_o and_o 8_o for_o 3_o and_o 9_o these_o degree_n be_v thus_o note_v for_o every_o ascribe_v hour_n let_v the_o meridian_n line_n be_v find_v on_o the_o horizontal_n plain_a and_o for_o any_o point_n of_o this_o line_n let_v the_o periphery_a of_o the_o circle_n be_v describe_v as_o from_o a_o centre_n and_o let_v it_o be_v draw_v perpendicular_o from_o the_o centre_n to_o the_o same_o on_o either_o side_n this_o shall_v be_v the_o line_n of_o the_o shadow_n at_o the_o hour_n 6_o before_o noon_n and_o 6_o after_o noon_n the_o meridian_n line_n be_v the_o line_n of_o the_o shadow_n of_o the_o hour_n 12._o in_o the_o describe_v periphery_a let_v the_o arch_n before_o note_a be_v cut_v of_o begin_v from_o the_o meridian_n line_n towards_o the_o line_n of_o the_o hour_n 6_o before_z and_z after_o noon_n first_o the_o arch_n note_v for_o 11_o and_o 1_o then_o for_o the_o hour_n 10_o and_o 2_o for_o 9_o and_o 3_o for_o 8_o and_o 4_o etc._n etc._n the_o arch_n thus_o cut_v off_o let_v the_o line_n be_v draw_v from_o the_o centre_n to_o those_o bound_n these_o shall_v be_v the_o line_n of_o the_o shadow_n in_o the_o beginning_n and_o end_n of_o the_o other_o hour_n but_o the_o style_n must_v be_v so_o elevate_v from_o the_o centre_n of_o the_o horologe_n above_o the_o meridian_n line_n that_o the_o angle_n which_o it_o make_v with_o it_o may_v be_v equal_a to_o the_o latitude_n of_o the_o place_n or_o elevation_n of_o the_o pole_n but_o it_o be_v more_o commodious_a to_o make_v some_o triangle_n who_o angle_n at_o the_o basis_n be_v equal_a to_o the_o latitude_n of_o the_o place_n if_o the_o declination_n be_v make_v on_o paper_n let_v the_o line_n be_v draw_v from_o the_o centre_n which_o from_o the_o periphery_n may_v take_v a_o arch_n equal_a to_o the_o latitude_n of_o the_o place_n the_o numeration_n be_v from_o the_o meridian_n line_n and_o let_v the_o triangle_n be_v cut_v out_o to_o be_v place_v above_o the_o meridian_n line_n so_o the_o shadow_n will_v show_v the_o hour_n the_o make_n of_o this_o scioterick_n be_v easy_a without_o a_o globe_n proposition_n xxiii_o to_o describe_v a_o scioterick_n on_o a_o vertical_a plain_n which_o may_v direct_o regard_v the_o east_n and_o west_n aequinoctial_a what_o a_o scioterick_n what_o the_o make_n of_o this_o be_v perfect_v after_o the_o same_o mode_n which_o we_o use_v in_o the_o horizontal_n if_o that_o the_o pole_n be_v not_o elevate_v according_a to_o the_o latitude_n of_o the_o place_n but_o according_a to_o the_o compliment_n of_o it_o and_o then_o the_o style_n also_o be_v elevate_v above_o the_o meridian_n
find_v at_o the_o day_n take_v and_o note_v in_o the_o ecliptic_a of_o the_o globe_n then_o let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o earth_n of_o the_o one_o place_n take_v and_o let_v the_o longitude_n of_o the_o day_n and_o the_o night_n or_o the_o stay_n of_o the_o sun_n above_o or_o beneath_o the_o horizon_n in_o that_o place_n at_o the_o assume_v day_n be_v find_v by_o the_o six_o proposition_n of_o this_o chap._n then_o let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o other_o place_n and_o let_v the_o longitude_n of_o the_o day_n and_o night_n or_o stay_v of_o the_o sun_n above_o or_o beneath_o the_o horizon_n be_v find_v at_o the_o same_o assume_v day_n let_v this_o longitude_n so_o find_v be_v compare_v with_o the_o other_o and_o the_o truth_n of_o this_o proposition_n will_v be_v manifest_a so_o that_o the_o place_n more_o remote_a have_v all_o the_o day_n of_o one_o half_a year_n long_o than_o the_o place_n more_o nigh_o on_o the_o contrary_a it_o will_v have_v all_o the_o day_n of_o the_o other_o half_a year_n short_a corollary_n what_o have_v be_v show_v of_o all_o the_o day_n of_o the_o year_n except_o the_o aequinoctial_o the_o same_o be_v also_o of_o force_n in_o the_o quantity_n of_o the_o long_a and_o short_a day_n and_o in_o this_o it_o be_v most_o observe_v and_o note_v because_o here_o be_v the_o great_a difference_n between_o the_o longitude_n of_o the_o night_n and_o day_n not_o so_o great_a in_o other_o day_n of_o the_o year_n therefore_o of_o the_o two_o place_n that_o which_o be_v more_o remote_a from_o the_o aequator_fw-la or_o more_o near_o to_o the_o pole_n have_v the_o long_a day_n great_a than_o the_o place_n more_fw-mi vicine_fw-la to_o the_o aequator_fw-la and_o the_o short_a day_n lesser_a proposition_n viii_o all_o place_n of_o the_o earth_n situate_v in_o one_o of_o the_o same_o parallel_n have_v all_o the_o day_n of_o the_o year_n equal_a and_o therefore_o the_o same_o quantity_n of_o the_o long_a day_n the_o demonstration_n of_o this_o proposition_n be_v easy_a by_o the_o globe_n let_v any_o parallel_n be_v take_v in_o the_o globe_n and_o what_o place_n you_o please_v parallel_n the_o equality_n of_o the_o day_n according_a to_o their_o situation_n in_o one_o of_o the_o same_o parallel_n let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o this_o parallel_n and_o let_v any_o parallel_n of_o the_o sun_n be_v take_v for_o any_o part_n of_o the_o year_n out_o of_o the_o degree_n let_v the_o tropic_a of_o cancer_n be_v take_v for_o the_o long_a day_n let_v one_o of_o the_o place_n take_v be_v constitute_v under_o the_o meridian_n that_o so_o it_o may_v possess_v the_o vertex_fw-la of_o the_o horizon_n or_o that_o the_o wooden_a horizon_n may_v be_v the_o horizon_n of_o the_o place_n then_o let_v the_o arch_n of_o the_o tropic_a above_o the_o horizon_n be_v note_v or_o the_o two_o point_n of_o the_o same_o which_o be_v in_o the_o horizon_n for_o the_o arch_n in_o these_o denote_v the_o stay_n of_o the_o sun_n above_o the_o horizon_n of_o the_o place_n then_o let_v the_o second_o place_n be_v bring_v to_o the_o meridian_n or_o vertex_fw-la that_o the_o wooden_a horizon_n may_v be_v the_o horizon_n of_o it_o and_o let_v the_o arch_n of_o the_o tropic_a above_o the_o horizon_n again_o be_v mark_v which_o if_o it_o be_v compare_v with_o the_o former_a we_o shall_v find_v that_o they_o be_v equal_a the_o same_o may_v be_v show_v also_o by_o hour_n on_o the_o horary_a circle_n therefore_o the_o sun_n remain_v a_o equal_a time_n above_o the_o orison_n of_o those_o place_n and_o therefore_o the_o day_n shall_v be_v equal_a as_o also_o the_o night_n definition_n from_o these_o aforesaid_a proposition_n the_o original_a of_o the_o division_n of_o the_o earth_n into_o climate_n be_v easy_o to_o be_v understand_v climate_n observation_n concern_v a_o climate_n for_o a_o climate_n be_v say_v to_o be_v one_o part_n of_o the_o earth_n of_o those_o part_n into_o which_o the_o superficies_n situate_v between_o the_o aequator_fw-la and_o the_o pole_n be_v so_o cut_v by_o draw_v parallel_n that_o the_o long_a day_n in_o the_o parallel_n more_o remote_a from_o the_o aequator_fw-la exceed_v the_o long_a day_n of_o the_o parallel_n more_o near_o the_o equator_fw-la in_o a_o certain_a part_n of_o a_o hour_n or_o number_n of_o hour_n viz._n half_a a_o hour_n in_o place_n situate_v even_o to_o the_o arctic_a circle_n in_o other_o place_n a_o whole_a hour_n or_o some_o hour_n and_o day_n the_o begin_n of_o a_o climate_n be_v call_v a_o parallel_n with_o which_o the_o climate_n begin_v and_o be_v more_o nigh_o the_o aequator_fw-la the_o end_n of_o a_o climate_n be_v call_v a_o parallel_n terminate_n the_o climate_n the_o middle_n of_o a_o climate_n be_v call_v a_o parallel_n draw_v almost_o through_o the_o middle_a superficies_n of_o a_o climate_n so_o that_o in_o that_o the_o long_a day_n exceed_v the_o long_a day_n of_o the_o begin_n of_o a_o climate_n by_o a_o quarter_n of_o a_o hour_n or_o a_o half_a difference_n wherein_o the_o long_a day_n of_o the_o end_n of_o a_o climate_n exceed_v the_o long_a day_n of_o the_o begin_n of_o a_o climate_n a_o parallel_n space_n be_v say_v to_o be_v that_o which_o the_o middle_a parallel_n of_o a_o climate_n comprehend_v with_o the_o begin_n or_o end_n of_o a_o climate_n proposition_n ix_o if_o more_o place_n of_o the_o earth_n be_v take_v from_o the_o aequator_fw-la towards_o the_o pole_n who_o distance_n from_o the_o aequator_fw-la equal_o augment_v from_o one_o degree_n to_o 10_o 20_o 30_o 40_o degree_n the_o long_a day_n in_o these_o place_n shall_v not_o be_v equal_o great_a or_o not_o equal_o augment_v but_o they_o shall_v more_o augment_v in_o place_n more_o remote_a and_o where_o the_o place_n be_v more_o near_o to_o the_o pole_n pole_n touch_v the_o length_n of_o day_n of_o place_n take_v from_o the_o aequator_fw-la towards_o the_o pole_n to_o show_v the_o verity_n of_o this_o proposition_n by_o the_o globe_n let_v place_n be_v take_v remote_a from_o the_o aequator_fw-la towards_o the_o pole_n by_o a_o equal_a increase_n of_o distance_n viz._n for_o conveniency_n parallel_n of_o 10_o 20_o 30_o 40_o 50_o 60_o degree_n of_o latitude_n for_o these_o parallel_n in_o the_o globe_n let_v the_o pole_n be_v elevate_v to_o the_o latitude_n of_o 10_o degree_n and_o the_o first_o degree_n of_o cancer_n be_v bring_v to_o the_o oriental_a horizon_n and_o that_o be_v note_v let_v the_o point_n of_o the_o tropic_n be_v also_o note_v which_o then_o be_v in_o the_o occidental_a horizon_n for_o the_o arch_n of_o the_o tropic_a then_o be_v above_o the_o horizon_n show_v the_o stay_n of_o the_o sun_n above_o the_o horizon_n of_o the_o place_n 10_o degree_n of_o latitude_n the_o hour_n of_o this_o his_o stay_n may_v also_o be_v know_v by_o the_o index_n and_o horary_a circle_n then_o let_v the_o pole_n be_v elevate_v according_a to_o the_o latitude_n of_o the_o second_o place_n 20_o degree_n and_o the_o first_o degree_n of_o cancer_n be_v again_o bring_v to_o the_o oriental_a horizon_n let_v the_o point_n of_o the_o tropic_n be_v note_v in_o the_o occidental_a for_o the_o arch_n above_o the_o horizon_n will_v again_o note_v the_o stay_n which_o also_o may_v be_v know_v by_o the_o index_n and_o the_o circle_n in_o the_o hour_n the_o same_o may_v be_v use_v with_o place_n who_o latitude_n be_v 40_o 50_o 60_o 70_o degree_n and_o the_o like_a which_o be_v do_v let_v the_o diurual_a hour_n of_o the_o sun_n stay_v above_o the_o the_o horizon_n or_o the_o arch_n of_o the_o tropic_n be_v compare_v and_o it_o will_v be_v manifest_a that_o the_o quantity_n of_o the_o long_a day_n do_v much_o more_o increase_n in_o place_n more_o remote_a than_o in_o the_o place_n more_o adjacent_a to_o the_o aequator_fw-la and_o therefore_o the_o increase_n of_o the_o long_a day_n do_v more_o augment_v than_o the_o increase_n of_o the_o distance_n of_o the_o place_n from_o the_o aequator_fw-la note_v what_o have_v be_v say_v and_o show_v concern_v the_o long_a day_n that_o be_v true_a of_o all_o the_o day_n of_o one_o half_a of_o the_o year_n and_o be_v demonstrate_v after_o the_o same_o manner_n if_o instead_o of_o the_o tropic_a of_o cancer_n the_o parallel_n of_o the_o place_n be_v take_v and_o therefore_o although_o general_n must_v be_v deliver_v general_o yet_o because_o the_o doctrine_n of_o climate_n especial_o require_v the_o explication_n of_o the_o increase_n of_o the_o long_a day_n therefore_o we_o do_v not_o observe_v in_o this_o doctrine_n that_o law_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d proposition_n x._o if_o so_o many_o place_n or_o parallel_n be_v so_o take_v between_o the_o aequator_fw-la and_o
or_o heaven_n which_o the_o meridian_n line_n be_v find_v be_v easy_a to_o do_v by_o the_o mariner_n compass_n or_o the_o magnetic_a needle_n the_o globe_n be_v thus_o place_v at_o every_o moment_n of_o the_o day_n when_o the_o sun_n shine_v on_o the_o globe_n may_v be_v see_v the_o part_n of_o the_o earth_n illuminate_v and_o the_o part_n not_o illuminate_v those_o place_n which_o lie_v in_o the_o middle_a semicircle_n of_o the_o part_n illuminate_v be_v those_o which_o will_v have_v the_o meridies_n at_o that_o moment_n of_o time_n to_o those_o which_o be_v seat_v in_o the_o oriental_a semicircle_n divide_v the_o illuminate_v part_n from_o the_o part_n not_o illuminate_v the_o sun_n set_v but_o to_o those_o which_o be_v in_o the_o occidental_a semicircle_n separate_v the_o illuminate_v part_n from_o the_o part_n not_o illuminate_v the_o sun_n rise_v to_o find_v out_o the_o place_n of_o the_o sun_n in_o the_o ecliptic_a let_v the_o needle_n or_o spherical_a gromon_n be_v move_v hither_o and_o thither_o perpendicular_o about_o the_o middle_n of_o the_o part_n illuminate_v until_o it_o make_v no_o shadow_n and_o let_v the_o point_n in_o the_o globe_n be_v note_v 〈◊〉_d for_o this_o be_v bring_v to_o the_o meridian_n here_o will_v show_v the_o declination_n of_o the_o ecliptic_a point_n in_o which_o the_o sun_n be_v at_o the_o time_n of_o the_o observation_n whence_o according_a to_o the_o condition_n of_o the_o time_n to_o wit_n spring_n summer_n autumn_n or_o winter_n the_o place_n of_o the_o sun_n shall_v be_v know_v and_o thence_o the_o day_n of_o the_o year_n also_o the_o place_n in_o the_o globe_n unto_o which_o the_o needle_n be_v affix_v give_v no_o shadow_n be_v that_o to_o which_o the_o sun_n be_v vertical_a at_o that_o moment_n of_o time_n and_o the_o parallel_n pass_v through_o this_o place_n will_v exhibit_v all_o the_o place_n in_o which_o the_o sun_n will_v be_v vertical_a on_o that_o day_n moreover_o to_o find_v the_o hour_n of_o the_o place_n in_o which_o the_o globe_n be_v so_o place_v or_o hang_v let_v that_o place_n be_v bring_v to_o the_o meridian_n to_o which_o the_o sun_n be_v vertical_a the_o index_n to_o the_o 12_o hour_n of_o the_o horary_a circle_n and_o let_v the_o globe_n be_v turn_v round_o until_o our_o place_n or_o that_o in_o which_o the_o globe_n be_v seat_v do_v come_v to_o the_o meridian_n the_o index_n will_v show_v the_o hour_n but_o because_o the_o globe_n can_v be_v turn_v round_o when_o it_o be_v affix_v by_o the_o iron_n style_n to_o the_o horizontal_n plain_a therefore_o it_o will_v be_v convenient_a that_o the_o quadrant_n be_v tie_v to_o the_o pole_n or_o part_n of_o the_o circle_n of_o the_o periphery_n 113_o ●_o ●_o for_o here_o the_o arch_n be_v bring_v to_o the_o place_n of_o the_o needle_n will_v show_v the_o declination_n of_o the_o sun_n from_o the_o aequator_fw-la whence_o the_o place_n of_o the_o sun_n and_o the_o day_n of_o the_o year_n shall_v be_v find_v the_o same_o arch_n will_v show_v the_o degree_n in_o the_o aequator_fw-la from_o whence_o if_o that_o the_o degree_n be_v number_v to_o the_o brazen_a meridian_n and_o these_o degree_n be_v change_v into_o hour_n or_o part_n of_o hour_n hour_n fifteen_o degree_n make_v a_o hour_n you_o shall_v have_v the_o hour_n of_o the_o place_n if_o so_o be_v that_o the_o sun_n be_v between_o the_o occident_n and_o the_o brazen_a meridian_n that_o be_v of_o our_o place_n but_o if_o that_o it_o be_v between_o the_o east_n and_o our_o meridian_n the_o hour_n find_v out_o must_v be_v subtract_v from_o 12_o and_o the_o remain_a number_n will_v show_v the_o hour_n from_o midnight_n if_o that_o such_o a_o brazen_a arch_n be_v adjoin_v to_o the_o pole_n of_o the_o globe_n as_o i_o have_v describe_v 113_o ½_n degree_n it_o may_v be_v bore_v through_o from_o the_o end_n even_o to_o 47_o degree_n that_o be_v from_o the_o departure_n of_o the_o sun_n from_o the_o aequator_fw-la and_o a_o turn_a plate_n be_v insert_v in_o it_o which_o may_v bear_v the_o perpendicular_a style_n and_o so_o there_o will_v neither_o be_v need_n of_o a_o needle_n or_o of_o a_o spherical_a gnomon_n and_o the_o operation_n will_v be_v less_o obnoxious_a to_o error_n proposition_n ii_o the_o terrestrial_a globe_n be_v ●o_o place_v as_o in_o the_o former_a proposition_n be_v declare_v it_o will_v also_o show_v when_o the_o moon_n shine_v to_o what_o people_n at_o any_o moment_n of_o time_n in_o which_o it_o be_v above_o our_o horizon_n it_o be_v conspicuous_a to_o who_o it_o arise_v to_o who_o it_o set_v and_o to_o who_o it_o be_v vertical_a these_o be_v all_o manifest_a from_o the_o precede_a proposition_n 1._o see_v proposit_n 1._o proposition_n iii_o by_o how_o much_o the_o place_n of_o the_o earth_n be_v remote_a from_o the_o parallel_n of_o the_o sun_n on_o any_o day_n by_o so_o much_o the_o sun_n be_v elevate_v to_o a_o lesser_a altitude_n in_o the_o same_o hour_n above_o their_o horizon_n let_v the_o place_n in_o the_o same_o meridian_n be_v take_v in_o the_o globe_n for_o these_o do_v reckon_v all_o the_o same_o hour_n and_o that_o at_o once_o then_o let_v a_o parallel_n be_v describe_v for_o any_o assume_v day_n and_o it_o will_v be_v manifest_a that_o any_o point_n of_o this_o parallel_n be_v far_a distant_a from_o the_o more_o remote_a place_n than_o from_o the_o place_n more_o near_o the_o sun_n therefore_o be_v above_o the_o point_n of_o this_o parallel_n will_v be_v far_a distant_a from_o the_o vertex_fw-la of_o the_o remote_a place_n than_o from_o the_o vertex_fw-la of_o those_o that_o be_v near_o and_o therefore_o he_o shall_v be_v less_o elevate_v over_o the_o horizon_n of_o those_o place_n than_o of_o these_o proposition_n iv_o by_o how_o much_o the_o place_n of_o the_o earth_n be_v more_o remote_a from_o the_o aequator_fw-la or_o more_o near_o the_o pole_n by_o so_o much_o the_o more_o the_o part_n of_o the_o horizon_n be_v distant_a in_o which_o the_o sun_n rise_v on_o the_o day_n of_o the_o solstice_n and_o the_o day_n of_o the_o winter_n as_o also_o those_o in_o which_o he_o set_v the_o same_o be_v true_a concern_v the_o moon_n and_o all_o the_o planet_n take_v what_o place_n you_o please_v of_o a_o diverse_a distance_n from_o the_o aequator_fw-la and_o let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o every_o one_o of_o they_o and_o let_v the_o point_n be_v note_v in_o the_o horizon_n in_o which_o the_o tropic_n of_o capricorn_n and_o cancer_n cut_v it_o a_o comparison_n be_v make_v the_o truth_n of_o the_o proposition_n will_v appear_v this_o be_v also_o show_v the_o same_o way_n by_o how_o much_o the_o place_n be_v more_o remote_a from_o the_o aequator_fw-la by_o so_o much_o the_o more_o the_o sun_n in_o his_o aequinoctial_a rise_n be_v distant_a in_o the_o east_n on_o every_o day_n of_o the_o year_n the_o astronomer_n term_v it_o the_o rise_a amplitude_n proposition_n v._o star_n place_v between_o the_o parallel_n of_o any_o place_n lie_v without_o the_o 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the_o meridian_n and_o so_o descend_v again_o but_o in_o place_n situate_v above_o the_o aequator_fw-la they_o oblique_o ascend_v and_o descend_v and_o so_o much_o the_o more_o oblique_o by_o how_o much_o the_o place_n be_v more_o remote_a from_o the_o aequator_fw-la star_n of_o the_o ascension_n and_o descension_n of_o the_o sun_n and_o star_n let_v any_o parallel_n of_o the_o sun_n be_v describe_v on_o the_o globe_n such_o as_o some_o already_o be_v delineate_v on_o the_o globe_n viz._n the_o aequator_fw-la the_o tropic_n and_o some_o intermedial_a one_o then_o let_v the_o pole_n be_v place_v in_o the_o very_a horizon_n that_o it_o may_v be_v the_o horizon_n of_o the_o place_n of_o the_o aequator_fw-la and_o it_o will_v be_v evident_a that_o the_o point_n of_o the_o
the_o latitude_n of_o the_o place_n know_v and_o the_o distance_n of_o the_o unknown_a place_n be_v turn_v into_o degree_n and_o the_o angle_n comprehend_v from_o the_o plaga_fw-la give_v from_o these_o three_o give_v the_o opposite_a angle_n to_o the_o distance_n must_v be_v seek_v for_o for_o this_o will_v exhibit_v the_o longitude_n of_o the_o other_o place_n from_o the_o know_a place_n but_o on_o the_o globe_n and_o mariner_n chart_n the_o place_n be_v thus_o find_v let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n give_v let_v the_o quadrant_n be_v apply_v to_o the_o vertex_fw-la and_o let_v the_o other_o extremity_n be_v apply_v to_o the_o give_v plaga_fw-la of_o the_o horizon_n then_o the_o distance_n give_v be_v turn_v into_o degree_n let_v it_o be_v reckon_v on_o the_o quadrant_n from_o the_o vertex_fw-la the_o term_n of_o the_o numeration_n shall_v be_v the_o place_n seek_v for_o on_o the_o globe_n but_o if_o that_o the_o longitude_n be_v only_o seek_v for_o without_o the_o designation_n of_o the_o place_n that_o be_v if_o you_o be_v mind_v to_o resolve_v a_o spherical_a triangle_n by_o the_o globe_n it_o will_v be_v do_v after_o this_o mode_n we_o will_v give_v example_n in_o the_o 33_o chapter_n 33._o see_v chap._n 33._o which_o be_v also_o to_o be_v observe_v in_o the_o follow_a chapter_n there_o also_o we_o will_v show_v by_o one_o example_n how_o such_o problem_n may_v be_v resolve_v by_o the_o planisphere_n concern_v all_o these_o also_o tutor_n may_v instruct_v their_o scholar_n from_o the_o method_n of_o the_o logarithm_n if_o that_o they_o be_v studious_a in_o these_o matter_n but_o mariner_n use_v calculation_n or_o the_o plain_a sphere_n ship_n a_o globe_n not_o commodious_a in_o a_o ship_n for_o the_o use_n of_o a_o globe_n be_v not_o so_o commodious_a in_o a_o ship_n in_o mariner_n chart_n let_v a_o line_n be_v draw_v from_o the_o give_v place_n for_o the_o give_v quarter_n and_o by_o the_o interval_n of_o the_o 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the_o other_o foot_n which_o have_v the_o chalk_n at_o its_o end_n after_o the_o same_o mode_n a_o distance_n be_v take_v from_o any_o other_o place_n let_v a_o arch_n be_v describe_v from_o this_o as_o from_o a_o centre_n on_o the_o superficies_n the_o point_n in_o which_o this_o arch_n cut_v the_o former_a be_v the_o place_n demand_v in_o mariner_n chart_n we_o must_v act_v after_o the_o same_o manner_n but_o yet_o the_o distance_n give_v must_v not_o be_v change_v into_o degree_n but_o must_v be_v take_v on_o the_o opposite_a scale_n but_o if_o the_o place_n be_v somewhat_o more_o remote_a from_o the_o place_n give_v an_z over_z great_a error_n may_v be_v commit_v by_o reason_n that_o the_o chart_n do_v not_o perform_v this_o accurate_o the_o invention_n of_o longitude_n by_o calculation_n because_o it_o have_v much_o difficulty_n as_o the_o diagram_n require_v therefore_o i_o shall_v leave_v it_o to_o be_v teach_v by_o some_o tutor_n and_o not_o describe_v it_o in_o word_n the_o five_o mode_n two_o place_n in_o the_o earth_n be_v give_v and_o the_o quarter_n in_o which_o some_o other_o unknown_a place_n be_v situate_v at_o they_o to_o find_v out_o this_o three_o place_n in_o the_o earth_n map_n and_o globe_n and_o to_o inquire_v the_o longitude_n of_o this_o place_n by_o calculation_n mode_n the_o five_o mode_n in_o the_o globe_n let_v one_o of_o the_o give_v place_n be_v bring_v to_o the_o meridian_n and_o let_v the_o pole_n be_v elevate_v near_o its_o latitude_n let_v the_o quadrant_n be_v apply_v to_o the_o vertex_fw-la and_o with_o the_o other_o end_n in_o which_o to_o wit_n at_o this_o note_a place_n the_o three_o unknown_a place_n be_v put_v to_o lie_v and_o at_o the_o margin_n of_o the_o quadrant_n by_o a_o point_a chalk_n let_v a_o small_a periphery_n be_v draw_v then_o let_v the_o other_o give_v place_n be_v bring_v to_o the_o meridian_n and_o the_o pole_n elevate_v near_o to_o its_o latitude_n let_v the_o quadrant_n be_v affix_v to_o the_o vertex_fw-la and_o the_o other_o extremity_n to_o the_o give_v plaga_fw-la of_o the_o horizon_n to_o wit_n in_o which_o the_o three_o unknown_a place_n be_v place_v to_o lie_v at_o this_o same_o know_a place_n the_o point_n in_o which_o the_o margin_n of_o the_o quadrant_n cut_v the_o periphery_n before_o draw_v with_o chalk_n be_v the_o three_o place_n demand_v on_o map_n it_o be_v thus_o do_v let_v a_o line_n be_v draw_v from_o one_o give_v place_n for_o the_o give_v quarter_n of_o the_o three_o place_n after_o the_o same_o mode_n let_v the_o line_n of_o the_o quarter_n be_v draw_v from_o the_o other_o give_v place_n the_o point_n in_o which_o these_o two_o line_n mutual_o cut_v one_o another_o be_v the_o place_n demand_v after_o the_o same_o mode_n we_o shall_v do_v on_o the_o earth_n if_o that_o we_o will_v act_n scientifical_o neither_o in_o science_n do_v we_o value_v hindrance_n and_o impediment_n so_o that_o we_o may_v comprehend_v the_o mode_n in_o our_o mind_n the_o 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other_o give_v than_o to_o be_v use_v for_o the_o make_n of_o a_o entire_a globe_n for_o it_o use_v the_o distance_n of_o place_n let_v the_o great_a periphery_n or_o the_o arch_n of_o the_o great_a periphery_n be_v draw_v through_o the_o globe_n and_o in_o this_o from_o the_o give_v point_n let_v the_o arch_n be_v take_v as_o much_o as_o the_o distance_n of_o the_o other_o place_n be_v from_o the_o place_n first_o give_v the_o term_n of_o the_o arch_n shall_v be_v other_o place_n then_o if_o you_o will_v design_n any_o three_o place_n take_v by_o the_o interval_n of_o the_o compass_n the_o distance_n of_o that_o three_o place_n from_o the_o other_o two_o even_o now_o design_v and_o from_o these_o as_o from_o centre_n let_v the_o arch_n be_v describe_v by_o these_o interval_n of_o the_o compass_n the_o point_n in_o which_o these_o arch_n mutual_o cut_v one_o another_o be_v the_o point_n of_o the_o three_o place_n but_o as_o i_o have_v say_v that_o this_o mode_n be_v not_o commodious_a 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through_o the_o meridian_n draw_v from_o pole_n to_o pole_n so_o that_o in_o any_o two_o meridian_n the_o 12_o part_n of_o a_o superficies_n be_v include_v from_o pole_n to_o pole_n then_o on_o a_o plain_n let_v the_o like_a figure_n be_v include_v in_o such_o a_o part_n of_o the_o 12_o in_o two_o arch_n which_o then_o in_o the_o globe_n make_v the_o half_a periphery_n of_o the_o meridian_n and_o in_o many_o meridian_n draw_v through_o every_o degree_n of_o the_o aequator_fw-la and_o divide_v into_o portion_n and_o segment_n of_o the_o parallel_n afford_v a_o kind_n of_o lettice_a work_n the_o portion_n of_o the_o aequator_fw-la be_v in_o the_o midst_n all_o the_o meridian_n end_n in_o the_o pole_n than_o c._n e_o meridian_n be_v take_v for_o the_o first_o which_o the_o table_n of_o longitude_n acknowledge_v let_v the_o degree_n be_v note_v from_o it_o in_o the_o aequator_fw-la the_o number_n be_v ascribe_v so_o that_o the_o degree_n of_o longitude_n of_o every_o place_n may_v ●e_v account_v then_o in_o every_o one_o of_o these_o place_n represent_v the_o 12_o part_n of_o the_o superficies_n of_o the_o globe_n let_v the_o place_n be_v note_v for_o the_o place_n of_o the_o earth_n every_o one_o at_o his_o degree_n of_o longitude_n and_o latitude_n which_o be_v extract_v from_o the_o table_n and_o the_o name_n be_v ascribe_v to_o the_o table_n and_o the_o tract_n of_o the_o river_n and_o bay_n draw_v as_o also_o of_o the_o land_n these_o be_v thus_o describe_v on_o paper_n or_o wood_n then_o make_v a_o incision_n and_o engrave_v according_a to_o that_o exemplar_n in_o plate_n of_o brass_n which_o then_o be_v fit_a for_o the_o print_n press_n which_o be_v afterward_o apply_v and_o join_v to_o the_o superficies_n of_o the_o globe_n so_o that_o its_o end_n may_v touch_v the_o axis_n or_o pole_n of_o the_o globe_n yet_o in_o many_o the_o paper_n do_v not_o touch_v the_o pole_n but_o be_v so_o make_v only_o to_o touch_v the_o arctic_a or_o antarctick_a circle_n and_o peculiar_a paper_n be_v take_v for_o the_o polary_a space_n for_o so_o they_o be_v more_o easy_o apply_v especial_o in_o great_a one_o so_o in_o the_o superficies_n of_o this_o globe_n all_o the_o place_n of_o the_o earth_n be_v exhibit_v to_o which_o be_v then_o add_v a_o brass_n meridian_n and_o horizon_n with_o a_o foot_n horary_a circle_n and_o a_o index_n mode_n the_o thing_n worthy_a of_o note_n in_o this_o mode_n there_o be_v two_o thing_n in_o this_o description_n which_o require_v a_o more_o full_a explication_n all_o the_o rest_n i_o suppose_v to_o be_v plain_a and_o intelligible_a first_o after_o what_o mode_n these_o 12_o or_o 24_o part_n be_v to_o be_v describe_v according_a to_o the_o example_n of_o which_o the_o engrave_v in_o brass_n must_v be_v make_v second_o how_o plain_a paper_n can_v be_v apply_v to_o the_o superficies_n of_o the_o globe_n the_o first_o be_v thus_o don●●ommodiously_o enough_o for_o example_n let_v the_o 12_o portion_n of_o the_o hemisphere_n from_o the_o pole_n to_o the_o aequator_fw-la be_v apply_v to_o the_o globe_n first_o from_o the_o know_a diameter_n of_o the_o globe_n let_v the_o quantity_n of_o the_o great_a periphery_n be_v find_v out_o according_a to_o the_o proportion_n of_o archimedes_n or_o the_o other_o proportion_n of_o the_o periphery_a to_o the_o diameter_n for_o example_n let_v the_o diameter_n of_o the_o globe_n be_v two_o foot_n and_o let_v the_o longitude_n of_o the_o foot_n in_o the_o note_a paper_n be_v divide_v into_o 10_o digit_n and_o the_o 10_o digit_n into_o 10_o grain_n that_o there_o may_v be_v 100_o part_n in_o a_o foot_n let_v it_o be_v do_v so_o that_o as_o 7_o be_v to_o 22_o so_o 200_o be_v to_o 628_o 4_o 7_o part_n or_o 6_o 28_o 200_o foot_n for_o the_o periphery_a the_o four_o part_n of_o this_o that_o be_v the_o quadrant_n of_o the_o periphery_n shall_v be_v of_o 157_o 1_o 7_o hundred_o or_o 1_o 57_o 10071_o foot_n and_o the_o 12_o part_n of_o 52_o 19_o 21_o hundred_o or_o ½_n a_o foot_n and_o 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parallel_n to_o the_o aequator_fw-la which_o we_o have_v deliver_v in_o the_o end_n of_o the_o iv_o chapter_n 4._o see_v chap._n 4._o so_o the_o point_n be_v sign_v in_o every_o periphery_a and_o arch_a you_o please_v a_o line_n must_v be_v draw_v through_o they_o and_o part_n of_o the_o paper_n perminate_v by_o these_o line_n must_v be_v cut_v off_o for_o this_o be_v apply_v to_o the_o globe_n will_v possess_v 1_o 12_o of_o the_o hemisphere_n now_o the_o application_n be_v easy_o perform_v viz._n if_o that_o the_o portion_n be_v small_a for_o in_o these_o the_o distance_n between_o straight_a and_o crooked_a be_v little_o discover_v especial_o of_o the_o earth_n when_o the_o paper_n have_v first_o
now_o this_o problem_n be_v the_o same_o with_o that_o to_o find_v out_o the_o meridian_n line_n and_o the_o north_n and_o south_n quarter_n for_o these_o be_v know_v it_o be_v easy_a to_o know_v the_o rest_n first_o by_o the_o star_n viz._n in_o the_o night_n the_o bear_n or_o the_o helice_n and_o polary_a star_n so_o call_v in_o the_o extremity_n of_o the_o tail_n of_o the_o vrsa_fw-la minor_n of_o great_a same_o among_o the_o ancient_n which_o show_v the_o north_n quarter_n whence_o all_o the_o rest_n be_v find_v for_o the_o face_n be_v turn_v to_o the_o north_n the_o east_n be_v at_o the_o right_a hand_n and_o the_o west_n on_o the_o left_a the_o line_n of_o which_o quarter_n at_o right_a angle_n cut_v the_o line_n of_o the_o north_n and_o south_n and_o these_o cardinal_n quarter_n be_v find_v it_o be_v easy_a to_o find_v the_o intermedial_a quarter_n unto_o which_o purpose_n that_o there_o may_v be_v no_o need_n of_o a_o description_n they_o have_v a_o circle_n make_v with_o the_o quarter_n who_o northern_a line_n be_v place_v above_o the_o northern_a line_n of_o any_o place_n the_o other_o quarter_n at_o one_o sight_n be_v discover_v but_o in_o the_o day_n they_o seek_v out_o the_o quarter_n by_o the_o rise_n or_o set_v of_o the_o sun_n as_o we_o have_v show_v in_o the_o xxviii_o chapter_n 28._o see_v chap._n 28._o 2._o the_o other_o method_n of_o the_o ancient_n for_o the_o know_v of_o quarter_n be_v the_o knowledge_n of_o the_o situation_n or_o extension_n of_o the_o shore_n and_o one_o promontory_n to_o the_o other_o for_o see_v the_o quarter_n of_o this_o extension_n be_v know_v to_o they_o either_o from_o the_o map_n or_o from_o observation_n and_o experience_n they_o may_v in_o navigation_n by_o see_v they_o know_v the_o other_o quarter_n for_o one_o quarter_n be_v know_v all_o the_o rest_n be_v know_v therefore_o the_o ancient_n do_v not_o far_o depart_v from_o the_o coast_n viz._n that_o they_o may_v know_v the_o quarter_n by_o the_o benefit_n of_o 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apply_v on_o all_o day_n and_o on_o the_o hour_n of_o every_o day_n for_o the_o mark_n from_o the_o situation_n of_o the_o shore_n fail_v in_o the_o mid_a sea_n in_o the_o night_n neither_o be_v it_o safe_a enough_o in_o the_o day_n time_n the_o three_o method_n from_o the_o observe_v course_n of_o the_o ship_n have_v not_o place_n when_o the_o ship_n be_v toss_v by_o boisterous_a wind_n and_o tempest_n from_o one_o quarter_n to_o another_o and_o in_o this_o casual_o lie_v the_o chief_a difficulty_n this_o i_o think_v fit_a to_o admonish_v concern_v the_o modes_n of_o the_o ancient_n for_o the_o find_v out_o the_o meridian_n line_n and_o the_o north_n and_o south_n by_o reason_n that_o the_o imperfection_n of_o these_o be_v the_o cause_n of_o the_o dangerous_a and_o small_a navigation_n of_o the_o ancient_n see_v that_o they_o be_v never_o able_a to_o commit_v themselves_o to_o the_o vast_a ocean_n and_o therefore_o never_o know_v those_o region_n between_o which_o the_o ocean_n be_v interpose_v of_o which_o the_o chief_a be_v all_o america_n never_o yet_o full_o know_v but_o at_o this_o day_n the_o method_n of_o know_v the_o quarter_n in_o all_o place_n and_o of_o find_v out_o the_o line_n of_o the_o north_n and_o south_n be_v facile_a by_o the_o benefit_n of_o the_o admirable_a propriety_n which_o the_o loadstone_n and_o all_o iron_n touch_v by_o it_o have_v be_v find_v to_o have_v viz._n that_o all_o magnetick_n not_o hinder_v by_o other_o in_o any_o place_n direct_v their_o point_n almost_o to_o the_o same_o quarter_n for_o there_o be_v two_o opposite_a point_n in_o the_o loadstone_n whereof_o one_o always_o and_o in_o all_o place_n turn_v itself_o to_o the_o north_n or_o the_o adjacent_a quarter_n the_o other_o to_o the_o south_n and_o so_o also_o the_o other_o point_n of_o the_o magnes_n respect_v the_o other_o quarter_n viz._n every_o point_n its_o particular_a quarter_n but_o all_o of_o they_o be_v not_o consider_v but_o only_o those_o two_o point_n which_o as_o i_o have_v say_v do_v convert_v themselves_o to_o the_o north_n and_o south_n which_o be_v term_v the_o pole_n of_o the_o magnes_n one_o northern_a the_o other_o southern_a and_o the_o same_o virtue_n much_o to_o admiration_n be_v communicate_v to_o the_o needle_n but_o by_o a_o invert_v and_o contrary_a operation_n of_o nature_n for_o the_o end_n of_o the_o lamine_n or_o needle_n which_o be_v touch_v at_o the_o north_n pole_n of_o the_o magnes_n do_v not_o convert_v itself_o to_o the_o north_n but_o to_o the_o south_n and_o that_o end_n which_o be_v rub_v at_o the_o south_n pole_n of_o the_o loadstone_n turn_v not_o to_o the_o south_n but_o to_o the_o north._n these_o point_n of_o the_o needle_n be_v also_o term_v the_o pole_n loadstone_n the_o virtue_n of_o the_o loadstone_n although_o therefore_o the_o loadstone_n and_o the_o iron_n touch_v by_o it_o have_v very_o many_o notable_a property_n yet_o all_o may_v be_v refer_v to_o two_o species_n or_o head_n one_o be_v that_o virtue_n which_o do_v extract_v the_o iron_n the_o other_o by_o which_o in_o every_o place_n it_o direct_v the_o two_o point_n of_o its_o superficies_n to_o the_o north_n and_o south_n the_o former_a faculty_n the_o ancient_n be_v not_o ignorant_a of_o but_o only_o this_o latter_a see_v therefore_o the_o magnes_n have_v this_o property_n therefore_o by_o its_o help_n it_o be_v easy_a to_o find_v in_o any_o part_n of_o the_o earth_n or_o sea_n where_o the_o north_n or_o south_n be_v whence_o all_o the_o other_o quarter_n be_v soon_o know_v for_o if_o those_o point_n of_o the_o north_n and_o south_n be_v note_v in_o any_o loadstone_n or_o the_o north_n and_o south_n pole_n and_o we_o have_v this_o magnes_n in_o the_o ship_n where_o we_o be_v in_o the_o sea_n when_o we_o desire_v to_o know_v the_o quarter_n the_o loadstone_n be_v hang_v by_o a_o cord_n that_o it_o may_v easy_o move_v itself_o will_v so_o direct_v its_o pole_n to_o the_o quarter_n of_o the_o north_n and_o south_n that_o it_o will_v show_v the_o quarter_n demand_v but_o the_o magnetic_a needle_n be_v more_o easy_a for_o use_v who_o end_n be_v touch_v at_o the_o south_n pole_n of_o the_o magnes_n for_o if_o that_o this_o needle_n be_v place_v in_o the_o middle_n upon_o a_o sharp_a perpendicular_a pin_n so_o that_o it_o can_v free_o turn_v round_o the_o needle_n rest_v will_v show_v by_o one_o of_o its_o end_n the_o north_n quarter_n and_o by_o the_o other_o the_o south_n from_o what_o have_v be_v say_v it_o be_v easy_a to_o make_v a_o nautical_a instrument_n proposition_n ii_o to_o make_v a_o mariner_n compass_n compass_n of_o the_o make_n the_o mariner_n compass_n let_v the_o describe_v circle_n on_o any_o paper_n be_v divide_v into_o 32_o quarter_n or_o degree_n and_o let_v one_o of_o these_o deg_fw-la be_v take_v for_o the_o north_n quarter_n be_v ascribe_v with_o these_o appellation_n viz._n with_o a_o peculiar_a sign_n the_o flower_n de_fw-fr luce_n and_o the_o find_v out_o point_v for_o the_o other_o quarter_n viz._n south_n east_n west_n north-east_n north-west_n as_o we_o have_v propound_v they_o in_o the_o diagram_n in_o the_o xx_o chapter_n mariner_n term_v this_o chart_n the_o rose_n then_o let_v the_o magnetic_a needle_n be_v so_o affix_v beneath_o the_o chart_n that_o the_o middle_n of_o the_o needle_n may_v be_v beneath_o its_o centre_n and_o the_o north_n pole_n of_o the_o needle_n may_v be_v subject_v to_o the_o line_n of_o the_o paper_n unto_o which_o we_o ascribe_v the_o northern_a quarter_n moreover_o the_o paper_n be_v so_o make_v with_o the_o needle_n lie_v under_o let_v it_o be_v put_v upon_o the_o point_a pin_n that_o it_o may_v have_v a_o free_a circumrotation_n so_o the_o index_n of_o the_o
principal_a xecque_fw-fr that_o be_v a_o chief_z which_o conduct_n and_o command_n they_o they_o live_v almost_o in_o the_o same_o manner_n as_o the_o 12_o tribe_n of_o israel_n do_v in_o the_o desert_n they_o preserve_v a_o good_a intelligence_n among_o themselves_o their_o chief_a design_n be_v only_o upon_o stranger_n they_o assault_v likewise_o the_o caravan_n if_o they_o think_v themselves_o able_a enough_o to_o master_v they_o or_o snatch_v any_o thing_n from_o they_o their_o horse_n common_o be_v little_a lean_a and_o spare_v feeder_n yet_o courageous_a swift_a and_o of_o great_a labour_n they_o be_v so_o skilful_a in_o manage_v they_o that_o they_o command_v they_o as_o they_o please_v and_o themselves_o be_v so_o active_a that_o at_o full_a speed_n they_o will_v shoot_v a_o arrow_n within_o the_o breadth_n of_o a_o shilling_n take_v from_o the_o ground_n those_o arrow_n they_o have_v shoot_v and_o avoid_v a_o arrow_n fly_v direct_o towards_o they_o nor_o do_v they_o manage_v less_o skilful_o the_o sling_n either_o in_o charge_v retire_v or_o fly_v mahometism_n the_o first_o rise_v of_o mahometism_n mahomet_n come_v not_o into_o the_o world_n till_o about_o the_o year_n 570_o after_o christ_n and_o begin_v not_o to_o publish_v and_o show_v abroad_o his_o doctrine_n till_o a_o little_a after_o the_o year_n 600_o a_o doctrine_n intermix_v with_o christianity_n judaisme_n and_o paganism_n that_o he_o may_v draw_v both_o the_o one_o and_o the_o other_o and_o which_o establish_v its_o principal_a end_n in_o delight_n carnal_a and_o sensual_a pleasure_n whereto_o the_o oriental_a people_n be_v very_o much_o incline_v and_o withal_o he_o find_v the_o mean_n to_o make_v use_n of_o arm_n for_o the_o establishment_n of_o this_o doctrine_n his_o calif_n or_o successor_n in_o a_o short_a time_n carry_v their_o government_n and_o religion_n into_o the_o best_a part_n of_o asia_n and_o africa_n and_o into_o some_o place_n of_o europe_n it_o be_v people_n be_v almost_o all_o mahometan_n there_o be_v some_o greek_a christian_n towards_o the_o mount_n of_o sinai_n and_o horeb_n likewise_o towards_o the_o red_a sea_n and_o in_o the_o desert_n of_o arabia_n the_o stony_a and_o arabia_n the_o desert_n arabia_n the_o happy_a be_v unhappy_a in_o have_v the_o few_o yet_o the_o portugal_n hold_v mascate_n calasates_n and_o some_o place_n about_o it_o which_o be_v catholic_n persia_n or_o the_o empire_n of_o the_o sophy_n of_o persia_n with_o its_o several_a province_n as_o they_o lie_v towards_o the_o caspian_a sea_n or_o sea_n of_o baccu_n and_o sala_n which_o make_v the_o northern_a part_n of_o persia_n and_o be_v those_o of_o seruan_fw-mi tauris_n sammachi_n seruan_fw-mi ardevil_n serga_n bacca_n ●●k●era_fw-la gilan_n rast_n gaxhar_n mazandaran_n layon_n mosun_fw-it gilan_n cassabi_n gadiour_n dilemon_n allamoed_n dilemon_n thalekan_n tabarestan_n a●●er●●ad_n zar●●●●●_n mag●●●●n_n gorgian_n gorgian_a ob●●oen_n dar●egan_n semnan_n rhoemus_n bestan_n b●y●●_n zabrawar_n thous_z mas●ndn_n feraway_n in_o the_o middle_a to_o wit_n those_o of_o churdistan_n naksivan_n merend_a choy_n maraga_n salmas_n ourmaya_n cormaba_n ayrack_n or_o yerack-agemi_a hispahan_n casbin_n saltania_n dankane_n hamadan_n hrey_n sauwa_n kom_fw-ge or_o come_v kargh_n cassian_n yesd_v chorasan_n thab_v gilack_a kayem_n thon_n zuzan_n mexat_fw-la nichabour_n zarchas_n firabad_n maruwe_n bonregian_n balch_n herat._n sablestan_n zarang_n bost_n necbesaet_n gisna-cassaby_a tocharestan_n thaalan_n candahar_n candahar_n patane_n grease_n bach_n balch_n towards_o the_o south_n and_o wash_v by_o the_o arabian_a or_o indian_a ocean_n and_o by_o the_o gulf_n of_o balsora_n and_o ormus_n and_o be_v those_o of_o chusistan_n souster_n askar_n moukera●_n ardgan_n hawecz_n ramhormoz_fw-mi siapour_n saurac_n fars_n chiraef_n aftackar_n lar_n darabegred_a stahabonon_n gombroun_n kherman_n cherman_n girost_n zirgian_n mocheston_n guadel_n nahyan_n patanis_n sigistan_n sistan_n mackeran_n mackeran_n basir_n together_o with_o several_a isle_n as_o they_o lie_v in_o the_o gulf_n of_o balsora_n and_o nigh_o unto_o persia_n the_o chief_a among_o which_o be_v ormus_n ormus_n queixome_a pulor_fw-la coyar_n ficor_n lar._n mulugan_n garge_n persia_n the_o kingdom_n or_o empire_n of_o the_o sophy_n of_o the_o persian_n be_v one_o of_o the_o most_o famous_a and_o great_a of_o all_o asia_n it_o extend_v itself_o from_o the_o tigris_n and_o euphrates_n on_o the_o west_n almost_o to_o the_o river_n indus_n on_o the_o east_n and_o from_o the_o gulf_n of_o persia_n and_o the_o arabian_a and_o indian_a sea_n which_o bound_v it_o on_o the_o south_n unto_o the_o river_n gehon_n and_o to_o the_o caspian_a sea_n now_o the_o sea_n of_o baccu_n or_o tabarestan_n which_o be_v its_o northern_a limit_n persia_n the_o extent_n bound_n situation_n etc._n etc._n of_o persia_n so_o contain_v about_o 600_o league_n of_o length_n and_o 500_o of_o breadth_n be_v seat_v under_o the_o three_o four_o five_o and_o six_o climate_n nevertheless_o this_o be_v but_o a_o part_n of_o the_o ancient_a empire_n of_o the_o persian_n for_o the_o assyrian_n have_v ordinary_o hold_v in_o asia_n all_o that_o which_o both_o turk_n and_o persian_a at_o present_a possess_v and_o that_o monarchy_n have_v begin_v under_o ninus_n and_o last_v under_o thirty_o and_o odd_a king_n 13_o or_o 1400_o year_n end_v in_o sardanapalus_n divide_v itself_o into_o that_o of_o the_o mede_n and_o babylonian_n who_o continue_v it_o little_o less_o than_o 300_o year_n afterward_o the_o persian_n make_v themselves_o master_n of_o it_o and_o these_o during_o 200_o and_o odd_a year_n which_o they_o reign_v remit_v to_o it_o the_o best_a part_n of_o what_o the_o mede_n and_o babylonian_n have_v possess_v but_o when_o they_o will_v have_v pass_v into_o europe_n and_o have_v seize_v on_o greece_n the_o macedonian_n and_o greek_n league_v themselves_o together_o be_v the_o persian_a empire_n former_o much_o large_a than_o now_o it_o be_v and_o name_v alexander_n king_n of_o macedon_n their_o chief_n descend_v into_o asia_n several_a time_n defeat_v darius_n ruin_v the_o empire_n of_o the_o persian_n and_o give_v a_o beginning_n to_o that_o of_o the_o macedonian_n alexander_n the_o great_a hold_v this_o empire_n but_o few_o year_n and_o die_v it_o be_v divide_v among_o many_o of_o his_o captain_n who_o take_v in_o the_o end_n the_o title_n of_o king_n and_o wage_v war_n against_o each_o other_o till_o the_o roman_n seize_v the_o western_a and_o the_o parthian_n the_o oriental_a part_n of_o that_o monarchy_n these_o parthian_n free_v themselves_o from_o the_o rule_n of_o the_o macedonian_n 250_o year_n before_o the_o birth_n of_o jesus_n christ_n and_o reign_v near_o 500_o year_n artaxerxes_n restore_v the_o persian_n 228_o year_n after_o christ_n nativity_n the_o caliphs_n of_o bagdat_n become_v master_n about_o the_o year_n 650._o the_o tartar_n in_o 1257_o or_o 58._o the_o turcoman_o in_o 1478._o xa_n or_o xecque_fw-fr ismael-sophy_n reestablish_v the_o persian_n a_o little_a after_o the_o year_n 1500_o and_o though_o they_o possess_v only_o the_o oriental_a part_n of_o the_o ancient_a empire_n of_o the_o persian_n yet_o it_o be_v still_o very_o great_a and_o powerful_a persia_n the_o several_a part_n or_o region_n of_o persia_n and_o we_o find_v at_o present_a under_o it_o all_o that_o the_o ancient_n know_v under_o the_o name_n of_o media_n hyrcania_n margiana_n assyria_n in_o part_n parthia_n aria_n paraponisa_n chaldea_n or_o babylonia_n in_o part_n susiana_n persia_n caramania_n drangiana_n arachosia_n and_o gedrosia_n all_o these_o region_n take_v apart_o be_v great_a fair_a rich_a and_o populous_a to_z the_o right_o worshipful_a sr_n william_n courteney_n of_o powderham_n castle_n in_o devonshire_n bart._n this_o map_n be_v hu-mble_o didicate_v by_o rb_n a_o map_n of_o the_o empire_n of_o the_o sophy_n of_o persia_n with_o its_o several_a province_n design_v by_o moncr._n sanson_n geographer_n to_o the_o french_z king_n etc._n province_n of_o gilan_n and_o its_o chief_a place_n etc._n etc._n the_o province_n of_o gilan_n or_o gveylan_n contain_v five_o government_n of_o which_o the_o chief_a city_n be_v rast_n gaxhar_n layon_n gilan_n mosun_n and_o gadiour_n beside_o about_o 30_o fair_a and_o rich_a city_n mazandaran_n which_o some_o separate_a from_o other_o join_v to_o gilan_n have_v in_o its_o government_n 25_o city_n and_o in_o the_o city_n of_o mazandaran_n about_o 50000_o soul_n all_o these_o quarter_n will_v have_v revolt_v in_o 1594._o but_o xa_n abbas_n soon_o bring_v they_o to_o their_o duty_n and_o chastise_v they_o for_o their_o offence_n dilemon_n province_n of_o dilemon_n the_o province_n of_o dilemon_n have_v its_o metropolis_n of_o the_o same_o name_n then_o allamoe_v gowar_n and_o thalekan_n in_o the_o description_n that_o those_o of_o the_o country_n give_v we_o of_o these_o place_n allamoed_n seem_v to_o answer_v to_o dilemon_n tabarestan_n province_n of_o tabarestan_n the_o province_n or_o tabarestan_n extend_v more_o than_o 60_o league_n on_o the_o coast_n