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 axis_fw-la if_o the_o globe_n be_v turn_v or_o roll_v about_o that_o diameter_n moreover_o if_o the_o globe_n be_v cut_v any_o way_n howsoever_o the_o section_n be_v the_o circle_n and_o if_o it_o be_v cut_v through_o the_o centre_n or_o we_o imagine_v it_o to_o be_v draw_v through_o the_o plain_a the_o section_n shall_v be_v the_o circle_n who_o diameter_n be_v the_o same_o as_o the_o diameter_n of_o the_o globe_n itself_o and_o such_o circle_n be_v call_v the_o great_a circle_n of_o the_o sphere_n or_o globe_n the_o rest_n be_v call_v the_o lesser_a circle_n of_o the_o sphere_n therefore_o for_o the_o resolution_n of_o the_o problem_n first_o let_v the_o circumference_n of_o the_o circle_n be_v find_v out_o by_o the_o give_v diameter_n then_o let_v the_o diameter_n be_v multiply_v into_o this_o circumference_n and_o then_o the_o superficies_n of_o the_o globe_n shall_v be_v the_o product_n in_o square_a measure_n scheme_n see_v scheme_n furthermore_o let_v this_o superficies_n be_v multiply_v by_o the_o six_o part_n of_o the_o diameter_n and_o the_o product_n shall_v be_v the_o solidity_n of_o the_o globe_n in_o cubick_a measure_n triangle_n a_o triangle_n thirteen_o a_o triangle_n be_v call_v rectangle_v one_o side_n of_o which_o stand_v perpendicular_o upon_o the_o other_o side_n or_o with_o it_o make_v a_o strait_a angle_n of_o ninety_o degree_n these_o two_o side_n be_v call_v catheti_fw-la the_o three_o side_n be_v call_v hypotenusa_fw-la archippus_n the_o measure_n of_o the_o angle_n â—n_v the_o archippus_n the_o measure_n of_o the_o angles_n be_v the_o arch_n which_o be_v describe_v a_o centre_n be_v take_v in_o the_o top_n of_o that_o angle_n to_o wit_n of_o how_o many_o degree_n that_o arch_n intercept_v between_o the_o shank_n of_o the_o angle_n be_v of_o so_o many_o degree_n that_o angle_n be_v say_v to_o be_v so_o a_o strait_a angle_n be_v say_v to_o be_v ninety_o degree_n because_o the_o arch_n so_o describe_v be_v always_o the_o quadrant_n or_o four_o part_n of_o the_o circumference_n of_o the_o circle_n archippus_n the_o sine_fw-la of_o a_o archippus_n the_o sine_fw-la of_o any_o arch_n be_v call_v a_o strait_a line_n which_o be_v draw_v perpendicular_a from_o the_o extreme_a of_o the_o arch_n into_o the_o diameter_n draw_v through_o the_o other_o extreme_a of_o the_o archippus_n archippus_n a_o tangent_fw-la of_o the_o archippus_n a_o tangent_fw-la of_o that_o arch_n be_v say_v to_o be_v a_o strait_a line_n touch_v the_o arch_n in_o one_o end_n and_o a_o straight_o end_v line_n which_o be_v draw_v from_o the_o centre_n through_o the_o other_o end_n of_o the_o arch._n but_o this_o line_n thus_o draw_v be_v say_v to_o be_v the_o secant_fw-la of_o that_o arch._n but_o the_o sine_fw-la of_o a_o angle_n be_v say_v to_o be_v the_o sine_fw-la of_o that_o arch_n which_o measure_v that_o angle_n so_o the_o tangent_fw-la of_o the_o angle_n and_o its_o secant_fw-la furthermore_o it_o be_v to_o be_v know_v that_o by_o the_o labour_n and_o study_v of_o mathematician_n table_n be_v make_v rule_n table_n call_v the_o mathematical_a canon_n or_o rule_n in_o which_o the_o half_a diameter_n of_o 100000_o or_o of_o more_o cipher_n be_v take_v the_o sin_n and_o tangent_n and_o secant_v of_o all_o the_o arch_n of_o the_o circumference_n be_v find_v out_o for_o example_n sake_n 2_o degree_n 10_o degree_n 20_o degree_n 32_o minute_n etc._n etc._n and_o these_o table_n be_v call_v the_o mathematical_a canon_n or_o rule_n and_o have_v infinite_a commodity_n in_o all_o the_o mathematical_a and_o natural_a science_n and_o therefore_o i_o be_o willing_a to_o teach_v the_o studious_a of_o geography_n these_o few_o thing_n but_o the_o principal_a use_n thereof_o be_v in_o the_o measure_n as_o well_o of_o spherical_a as_o plain_a angle_n but_o because_o the_o measure_n of_o spheric_a angle_n have_v some_o difficulty_n which_o seem_v necessary_a only_o for_o they_o who_o desire_v to_o enter_v themselves_o more_o profound_o into_o art_n therefore_o we_o will_v speak_v only_o of_o triangle_n straight_o angle_v who_o dimension_n any_o one_o may_v easy_o apprehend_v two_o theorem_n who_o use_n be_v frequent_a in_o geography_n observe_v rule_v to_o be_v observe_v fourteen_o three_o angle_n of_o what_o triangle_n soever_o be_v take_v together_o be_v equal_a to_o two_o strait_a angle_n or_o be_v 180_o degree_n and_o therefore_o two_o acute_a in_o a_o triangle_n straight_o angle_v make_v 90_o degree_n furthermore_o if_o a_o strait_a line_n touch_v a_o circular_a line_n and_o from_o the_o point_n of_o their_o contact_n or_o meeting_n a_o strait_a line_n be_v draw_v to_o the_o centre_n of_o the_o circle_n this_o make_v a_o strait_a angle_n with_o the_o line_n tangent_fw-la fifteenth_o but_o these_o be_v the_o problem_n who_o use_n be_v frequent_a first_o the_o hypotenusa_fw-la and_o together_o the_o cathetus_n of_o a_o triangle_n straight_o angle_v be_v give_v to_o find_v out_o the_o angle_n contain_v or_o another_o acute_a for_o the_o find_n out_o of_o which_o let_v it_o be_v wrought_v according_a to_o the_o golden_a rule_n as_o the_o give_v hypotenusa_fw-la be_v to_o be_v the_o give_v cathetus_n so_o the_o whole_a sine_fw-la 100000_o which_o number_n be_v the_o half_a diameter_n take_v in_o the_o table_n of_o sines_n be_v to_o the_o sine_fw-la of_o the_o other_o angle_n this_o sine_fw-la seek_v out_o in_o the_o canon_n will_v show_v the_o arch_n or_o quantity_n of_o the_o angle_n which_o join_v to_o the_o hypotenusa_fw-la but_o the_o contain_v angle_n be_v the_o compliment_n of_o the_o find_v out_o angle_n to_o 90_o degree_n therefore_o if_o the_o find_v out_o number_n be_v subtract_v from_o 90_o degree_n the_o demand_v angle_n be_v leave_v remain_v second_o a_o cathetus_n and_o a_o acute_a adjacent_a angle_n be_v give_v to_o find_v out_o the_o hypotenusa_fw-la let_v this_o be_v wrought_v according_a to_o the_o golden_a rule_n as_o the_o sine_fw-la of_o the_o compliment_n of_o the_o give_v angle_n be_v to_o 100000_o or_o to_o 1000000_o in_o the_o great_a canon_n so_o be_v the_o give_v cathetus_n to_o the_o demand_v hypotenusa_fw-la three_o two_o cathetuse_n be_v give_v to_o find_v the_o angle_n adjacent_a to_o either_o of_o they_o work_v thus_o as_o one_o cathetus_n be_v to_o another_o so_o be_v the_o whole_a sine_fw-la 100000_o to_o the_o tangent_fw-la of_o the_o angle_n which_o be_v adjacent_a to_o the_o first_o assume_v cathetus_n four_o a_o hypotenusa_fw-la and_o one_o acute_a angle_n be_v give_v to_o find_v either_o cathetus_n let_v the_o work_n proceed_v thus_o as_o the_o whole_a sine_fw-la 100000_o be_v to_o the_o sine_fw-la of_o a_o angle_n which_o be_v opposite_a to_o the_o cathetus_n demand_v so_o the_o give_v hypotenusa_fw-la be_v to_o that_o cathetus_n geography_n measure_n useful_a in_o geography_n because_o the_o use_n of_o measure_n be_v very_o frequent_a in_o geography_n and_o that_o also_o divers_a people_n use_v sundry_a measure_n therefore_o i_o shall_v give_v the_o reader_n some_o advertisement_n therein_o snellius_n the_o foot_n the_o most_o famous_a measure_n first_o find_v out_o by_o snellius_n the_o famous_a measure_n be_v the_o length_n of_o a_o foot_n but_o this_o be_v very_o different_a the_o rhindlandish_a foot_n of_o snellius_n be_v the_o now_o usual_a mathematician_n foot_n which_o be_v equal_a to_o the_o old_a roman_n foot_n and_o because_o snellius_n be_v most_o diligent_a and_o curious_a in_o measure_v the_o earth_n therefore_o that_o rhindlandish_a foot_n be_v deserve_o take_v for_o the_o rule_n of_o all_o measure_n perch_n a_o rod_n or_o perch_n the_o decempeda_fw-la or_o land_n measure_v rod_n contain_v ten_o foot_n rhinlandish_a it_o be_v also_o call_v a_o peroh_n or_o pole_n but_o geodesians_n or_o surveyor_n make_v a_o rhindlandish_a perch_n to_o be_v twelve_o rhindlandish_a foot_n or_o else_o sixteen_o foot_n germish_n or_o or_o sixteen_o foot_n and_o a_o half_a english_a the_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
in_o e_o b_o which_o show_v the_o 52_o deg_fw-la of_o the_o arch_n b_o c_o shall_v be_v the_o projecture_n of_o the_o arctic_a pole_n let_v the_o point_n in_o e_o d_o be_v note_v with_o the_o letter_n p_o which_o represent_v the_o 52_o deg_fw-la of_o the_o arch_n d_o c_o by_o account_v from_o c_o to_z d_o shall_v be_v the_o projecture_n of_o the_o intersection_n of_o the_o aequator_fw-la and_o the_o meridian_n of_o london_n let_v the_o letter_n qui_fw-fr be_v note_v and_o from_o that_o towards_o the_o letter_n p_o let_v the_o number_n of_o the_o degree_n 1_o 2_o 3_o etc._n etc._n be_v ascribe_v also_o from_o q_o towards_o d_o and_z from_z b_o towards_z p_o viz._n 52_o 53_o 54_o 55_o etc._n etc._n then_o the_o point_n be_v take_v from_o p_o of_o the_o equal_a degree_n viz._n 99_o and_o 99_o also_o 88_o and_o 88_o let_v these_o be_v describe_v about_o these_o part_n as_o the_o diameter_n of_o the_o periphery_n of_o the_o circle_n which_o shall_v represent_v the_o parallel_n or_o circle_n 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present_o know_v both_o how_o great_a a_o interval_n they_o lie_v from_o amsterdam_n and_o in_o what_o quater_fw-la they_o lie_v in_o respect_n of_o it_o now_o how_o by_o the_o benefit_n of_o the_o globe_n such_o a_o map_n shall_v be_v make_v we_o shall_v show_v in_o the_o four_o mode_n of_o particular_a map_n the_o first_o mode_n of_o geographical_a particular_a map_n we_o have_v speak_v of_o the_o make_n of_o general_n or_o universal_a map_n now_o it_o be_v require_v that_o we_o shall_v teach_v the_o composition_n of_o particular_a or_o special_a map_n america_n of_o particular_a or_o special_a map_n as_o of_o asia_n africa_n europe_n america_n the_o part_n therefore_o of_o the_o earth_n which_o we_o will_v represent_v on_o the_o map_n be_v either_o great_a or_o small_a it_o great_a as_o asia_n africa_n europe_n america_n it_o will_v be_v necessary_a to_o institute_v a_o declination_n according_a to_o the_o modes_n explain_v for_o general_a map_n but_o in_o divers_a part_n sundey_a 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another_o method_n in_o region_n not_o so_o large_a but_o only_o moderate_a or_o small_a first_o a_o tranverse_n line_n be_v draw_v in_o the_o extremity_n of_o the_o table_n for_o the_o circle_n of_o latitude_n in_o which_o the_o end_n of_o the_o region_n respect_v the_o aequator_fw-la be_v to_o be_v draw_v in_o that_o so_o many_o part_n be_v take_v equal_o through_o how_o many_o deg_fw-la of_o longitude_n that_o region_n be_v extend_v from_o that_o part_n then_o from_o the_o middle_n of_o this_o line_n a_o perpendicular_a be_v draw_v which_o have_v so_o many_o part_n as_o there_o be_v deg_fw-la of_o longitude_n between_o the_o bound_n of_o that_o region_n towards_o the_o aequator_fw-la and_o the_o pole_n but_o how_o great_a these_o part_n shall_v be_v be_v know_v from_o the_o proportion_n of_o the_o deg_fw-la of_o the_o first_o circle_n which_o be_v great_a to_o the_o deg_fw-la of_o parallel_n which_o be_v represent_v from_o the_o low_a transverse_a line_n through_o the_o term_n of_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
aethiopian_a woman_n which_o heretofore_o be_v adorn_v as_o a_o rural_a deity_n this_o colossus_n be_v of_o a_o vast_a bigness_n and_o be_v make_v out_o of_o the_o natural_a rock_n together_o with_o huge_a flat_a stone_n also_o the_o isle_n and_o tower_n of_o pharos_n opposite_a to_o alexandria_n a_o place_n of_o a_o great_a bigness_n and_o of_o great_a rarity_n and_o magnificence_n its_o watch-tower_n be_v of_o a_o exceed_o great_a height_n be_v ascend_v by_o step_n and_o on_o the_o top_n of_o this_o tower_n there_o be_v place_v every_o night_n abundance_n of_o lantern_n with_o light_n for_o the_o direction_n of_o sailor_n by_o reason_n of_o the_o dangerousness_n of_o the_o sea_n on_o that_o coast_n be_v so_o full_a of_o flat_n the_o egyptian_n instead_o of_o letter_n make_v use_v of_o hieroglyphic_n of_o which_o hieroglyphic_n their_o several_a hieroglyphic_n a_o example_n or_o two_o shall_v suffice_v viz._n for_o god_n they_o paint_v a_o falcon_n for_o eternity_n they_o paint_v 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the_o lake_n the_o nile_n pass_v between_o the_o kingdom_n of_o damont_n and_o goyame_n in_o the_o abyssine_n receive_v a_o little_a on_o this_o side_n the_o equator_fw-la the_o zafflan_n which_o come_v out_o of_o the_o lake_n of_o zafflan_n near_o the_o isle_n of_o mero_n or_o gueguere_fw-la the_o cabella_n or_o taguezzi_n which_o descend_v from_o the_o lake_n of_o barcena_n and_o at_o the_o entrance_n into_o egypt_n of_o the_o river_n nubia_n which_o cross_v nubia_n and_o come_v from_o saara_n and_o billedulgerid_fw-la and_o apparent_o answer_v to_o that_o which_o juba_n believe_v to_o be_v the_o true_a nile_n these_o 3_o river_n be_v the_o great_a of_o all_o those_o which_o disburden_v themselves_o in_o the_o nile_n and_o carry_v a_o great_a many_o other_o but_o in_o egypt_n the_o nile_n remain_v alone_o pass_v between_o two_o rank_n of_o mountain_n approach_v the_o sea_n the_o valley_n enlarge_v and_o the_o nile_n divide_v itself_o into_o many_o branch_n and_o glide_v by_o many_o 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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 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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 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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 donâ—â—ommodiously_o enough_o for_o example_n let_v the_o 12_o portion_n of_o the_o hemisphere_n 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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 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rhoemus_n bestan_n bâ—yâ—â—_n zabrawar_n thous_z masâ—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 moukeraâ—_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 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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 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building_n have_v neither_o mortar_n nor_o plaster_n here_o they_o build_v not_o without_o both_o they_o despise_v all_o precious_a stone_n and_o esteem_v more_o their_o vessel_n of_o earth_n which_o serve_v to_o keep_v their_o drink_n which_o we_o make_v little_a esteem_n of_o but_o much_o value_n precious_a stone_n they_o drink_v nothing_o but_o what_o be_v hot_a those_o most_o delicate_a with_o we_o be_v cool_v their_o physic_n be_v sweet_a and_o odoriferous_a we_o bitter_a and_o unpleasant_a they_o never_o let_v their_o sick_a blood_n which_o with_o we_o be_v very_o common_a upon_o the_o least_o occasion_n these_o with_o several_a other_o custom_n contrary_a to_o we_o do_v they_o observe_v among_o they_o which_o be_v too_o long_o to_o set_v down_o nor_o want_v they_o fine_a reason_n to_o sustain_v their_o custom_n better_a than_o we_o they_o say_v we_o must_v conserve_v our_o blood_n as_o one_o of_o the_o principal_a sustainer_n of_o our_o life_n that_o we_o must_v not_o give_v a_o 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be_v fall_v into_o the_o hand_n of_o one_o alone_a as_o it_o have_v be_v former_o and_o be_v divide_v into_o 7_o province_n or_o principal_a part_n and_o those_o 7_o part_n subdivide_v into_o many_o other_o which_o ought_v to_o pass_v under_o the_o name_n of_o lordship_n some_o of_o which_o yet_o retain_v the_o name_n of_o kingdom_n other_o of_o dutchy_n principality_n etc._n etc._n those_o which_o command_v in_o the_o lesser_a part_n be_v call_v general_o tone_n charon_n range_v they_o in_o six_o different_a degree_n and_o call_v they_o king_n duke_n prince_n knight-baron_n baron_n and_o lord_n which_o according_a to_o our_o degree_n of_o honour_n be_v distinguish_v by_o king_n prince_n duke_n marquess_n earl_n and_o baron_n charon_n make_v 21_o king_n some_o of_o which_o possess_v 1_o or_o 2_o and_o some_o 3_o and_o in_o all_o 30_o and_o odd_a of_o the_o 66_o ancient_a kingdom_n after_o the_o king_n he_o put_v 4_o duke_n 6_o prince_n 17_o knight-baron_n 50_o baron_n and_o 41_o lord_n give_v each_o a_o revenue_n of_o at_o least_o 100000_o liver_n per_fw-la annum_fw-la and_o so_o augment_v to_o the_o great_a to_o who_o he_o give_v 10_o million_o and_o more_o and_o make_v account_n that_o the_o cube_n or_o cesar_n of_o japan_n spend_v at_o least_o 100_o million_o of_o crown_n yearly_a as_o well_o in_o the_o expense_n of_o his_o house_n as_o in_o his_o militia_n and_o what_o he_o disburse_v to_o the_o tone_n japan_n the_o part_n of_o japan_n the_o name_n of_o the_o 7_o principal_a part_n into_o which_o the_o estate_n of_o japan_n be_v divide_v be_v saycock_n xicoco_n jamasoit_n jetsengo_n jetsegen_n quanto_fw-la and_o ochio_n saycock_n with_o the_o isle_n which_o belong_v to_o it_o be_v the_o near_a to_o china_n chicock_n be_v on_o the_o east_n of_o saycock_n the_o other_o five_o part_n be_v in_o the_o great_a island_n and_o extend_v themselves_o advance_v from_o east_n to_o west_n jamosoit_n be_v the_o most_o western_a part_n of_o all_o and_o answer_v to_o the_o 12_o kingdom_n which_o the_o king_n of_o nangato_n or_o amanguci_n have_v former_o possess_v jetsenco_n and_o jetsegen_n together_o make_v the_o middle_n of_o the_o great_a island_n and_o apparent_o that_o which_o pass_v under_o the_o name_n of_o tenza_n and_o contain_v 20_o other_o quanto_fw-la and_o ochio_n advance_v themselves_o from_o the_o east_n unto_o the_o straight_a of_o sangaar_n which_o divide_v japan_n from_o the_o land_n of_o jesso_n of_o which_o more_o anon_o quanto_fw-la comprehend_v 8_o kingdom_n and_o ochio_n the_o rest_n and_o in_o these_o part_n there_o be_v abundance_n of_o city_n and_o town_n which_o i_o have_v observe_v in_o my_o geographical_a table_n but_o because_o the_o diversity_n of_o name_n of_o dayri_n or_o emperor_n of_o cube_n or_o cesar_n of_o tone_n or_o king_n prince_n duke_n etc._n etc._n may_v breed_v some_o confusion_n to_o give_v a_o more_o particular_a knowledge_n we_o will_v say_v succinct_o that_o before_o the_o year_n 1500_o there_o be_v in_o all_o japan_n only_o one_o sovereign_a which_o they_o call_v voo_n or_o dayri_n that_o be_v emperor_n the_o isle_n or_o land_n of_o jesso_n jesso_n the_o isle_n of_o jesso_n after_o the_o isle_n of_o japan_n let_v we_o speak_v a_o word_n of_o the_o isle_n or_o land_n of_o jesso_n yedzo_n or_o jesso_n for_o divers_a author_n write_v its_o name_n different_o some_o call_n it_o the_o isle_n some_o the_o land_n abovesaid_a and_o to_o the_o east_n of_o japan_n in_o the_o manner_n that_o the_o english_a portugal_n and_o hollander_n deseribe_v it_o this_o land_n must_v extend_v from_o asia_n to_o america_n they_o say_v that_o from_o tessoy_fw-fr which_o be_v the_o most_o western_a point_n of_o it_o opposite_a to_o coray_n and_o near_o tartary_n advance_v towards_o the_o east_n it_o be_v 60_o day_n journey_n to_o the_o province_n of_o matzumay_n and_o that_o from_o matzumay_n unto_o the_o most_o easterly_a point_n and_o near_a america_n it_o be_v likewise_o 90_o day_n journey_n so_o that_o it_o be_v 150_o day_n journey_n from_o one_o end_n to_o the_o other_o which_o after_o only_o 8_o league_n a_o day_n will_v be_v 1200_o of_o our_o league_n it_o be_v breadth_n be_v not_o speak_v of_o tessoy_n the_o straight_a of_o tessoy_n the_o straight_a of_o tessoy_n which_o separate_v this_o isle_n from_o tartary_n have_v great_a current_n cause_v by_o the_o discharge_n of_o several_a river_n which_o come_v rome_v the_o northern_a part_n and_o from_o tartary_n and_o jesso_n the_o other_o straight_o which_o separate_v it_o from_o america_n may_v in_o all_o likelihood_n be_v that_o anian_a and_o those_o two_o strait_n limit_v the_o two_o extremity_n of_o jesso_n towards_o the_o midst_n must_v be_v the_o province_n of_o matzumay_n and_o apparent_o beyond_o the_o straight_a which_o separate_v the_o isle_n of_o japan_n from_o the_o land_n of_o jesso_n and_o this_o straight_o may_v be_v call_v the_o straight_a of_o sangaar_n which_o be_v the_o utmost_a east-land_n of_o japan_n the_o traverse_n or_o traject_n of_o this_o straight_o be_v not_o above_o 10_o or_o 12_o league_n other_o say_v not_o above_o so_o many_o mile_n other_o there_o be_v affirm_v it_o no_o straight_a but_o a_o isthmus_n which_o fix_v japan_n to_o jesso_n and_o that_o both_o the_o one_o and_o the_o other_o together_o be_v but_o one_o isle_n so_o difficult_a it_o be_v to_o find_v the_o truth_n of_o a_o thing_n so_o far_o distant_a this_o isle_n or_o land_n of_o jesso_n be_v so_o great_a and_o vast_a that_o the_o inhabitant_n can_v but_o have_v different_a manner_n those_o which_o be_v near_a japan_n resemble_v the_o japanois_n those_o which_o be_v near_o tartary_n the_o tartar_n and_o those_o near_a america_n their_o neighbour_a american_n and_o in_o all_o likelihood_n they_o be_v more_o barbarous_a than_o all_o their_o neighbour_n inhabitant_n its_o inhabitant_n they_o be_v all_o idolater_n