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ground_n draw_v line_n superficies_n 2,220 5 15.5901 5 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A18028 Geographie delineated forth in two bookes Containing the sphericall and topicall parts thereof, by Nathanael Carpenter, Fellow of Exceter Colledge in Oxford. Carpenter, Nathanael, 1589-1628? 1635 (1635) STC 4677; ESTC S107604 387,148 599

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seem_v together_o to_o terminate_v the_o end_n of_o the_o earth_n and_o protension_n of_o the_o sight_n what_o the_o semidiameter_n of_o this_o horizon_n shall_v be_v have_v not_o be_v yet_o agree_v upon_o by_o all_o erastothenes_n will_v have_v it_o to_o be_v 44_o mile_n macrobius_n 23._o proclus_n 250._o albertus_n magnus_n 125._o these_o difference_n seem_v too_o great_a to_o admit_v of_o reconcilement_n yet_o take_v into_o our_o consideration_n the_o disparity_n in_o account_n of_o mile_n betwixt_o the_o modern_a and_o ancient_a cosmographer_n as_o also_o betwixt_o the_o greek_n and_o latin_n 2_o the_o diverse_a place_n of_o the_o sight●_n the_o various_a disposition_n of_o the_o place_n wherein_o they_o take_v their_o observation_n with_o other_o circumstance_n we_o shall_v diminish_v much_o of_o admiration_n but_o diverse_a other_o who_o opinion_n be_v more_o approve_a by_o modern_a cosmographer_n have_v define_v it_o to_o be_v about_o 63_o mile_n the_o cause_n why_o this_o 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on_o this_o superficies_n successive_o grow_v great_a from_o the_o equinoctial_a towards_o either_o pole_n until_o it_o challenge_v equal_a diameter_n with_o the_o cylinder_n and_o likewise_o all_o the_o meridian_n grow_a wide_a and_o far_o off_o till_o they_o be_v as_o far_o distant_a everywhere_a as_o be_v the_o equinoctial_a one_o from_o the_o other_o hence_o may_v easy_o be_v understand_v the_o true_a mathematical_a production_n or_o generation_n of_o this_o part_n for_o first_o of_o a_o spherical_a superficies_n it_o be_v make_v a_o cylinder_n and_o second_o of_o a_o cylinder_n it_o be_v make_v a_o parallellogramme_n or_o plain_a superficies_n for_o the_o concave_a superficies_n of_o a_o cylinder_n be_v nothing_o else_o but_o a_o plain_a parallellogramme_n imagine_v to_o be_v wound_n about_o two_o equal_a equidistant_a circle_n have_v one_o common_a axletree_n perpendicular_a upon_o the_o centre_n of_o they_o both_o and_o the_o periphery_n of_o they_o both_o equal_a to_o the_o 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line_n
sort_n as_o they_o imagine_v for_o the_o only_a withdraw_n of_o that_o hand_n and_o let_v go_v of_o that_o bridle_n which_o give_v the_o water_n that_o restraint_n will_v have_v be_v ●ufficient_a to_o have_v overwhelm_v the_o whole_a earth_n the_o second_o reason_n be_v take_v from_o land_n in_o the_o sea_n which_o be_v nothing_o else_o but_o part_n of_o the_o land_n raise_v up_o above_o the_o water_n three_o we_o find_v by_o experience_n that_o a_o ship_n carry_v with_o the_o like_a wind_n be_v drive_v so_o swift_o from_o the_o port_n into_o the_o open_a sea_n as_o from_o the_o sea_n into_o the_o port_n which_o can_v not_o be_v do_v if_o the_o sea_n be_v high_a than_o the_o land_n for_o it_o must_v needs_o be_v that_o a_o ship_n if_o it_o be_v to_o be_v carry_v to_o a_o high_a place_n shall_v be_v move_v slow_a than_o if_o it_o come_v from_o a_o high_a to_o a_o low_a four_o all_o river_n run_v into_o the_o sea_n from_o the_o inner_a part_n of_o the_o land_n which_o be_v a_o most_o 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and_o border_n to_o which_o it_o so_o come_v that_o sensible_o it_o swell_v to_o a_o globe_n or_o a_o circumference_n and_o so_o at_o length_n in_o the_o middle_n raise_v up_o itself_o and_o obtain_v a_o great_a height_n then_o in_o those_o part_n where_o in_o the_o middle_n of_o the_o sea_n it_o decline_v towards_o the_o shore_n of_o which_o part_n the_o hight_a suffer●_n such_o a_o decrease_n that_o by_o how_o much_o near_o the_o shore_n they_o shall_v approach_v by_o so_o much_o the_o low_o they_o be_v in_o respect_n of_o the_o shore_n in_o somuch_o that_o touch_v the_o shore_n itself_o it_o be_v much_o low_a than_o the_o earth_n for_o this_o opinion_n our_o author_n pretend_v a_o demonstration_n which_o he_o ground_n on_o the_o 4_o chapter_n of_o aristotle_n de_fw-fr caelum_fw-la in_o his_o second_o book_n where_o he_o put_v down_o these_o two_o position_n which_o he_o call_v hypothesis_n or_o supposition_n first_o that_o the_o water_n no_o less_o concur_v to_o the_o make_n of_o a_o globe_n or_o circle_n than_o the_o earth_n for_o it_o so_o descend_v natural_o that_o it_o do_v sensible_o gather_v itself_o together_o and_o make_v a_o swell_a as_o we_o see_v in_o small_a drop_n cast_v on_o the_o ground_n second_o the_o water_n make_v a_o circle_n which_o have_v the_o same_o centre_n with_o the_o centre_n of_o the_o earth_n out_o of_o these_o ground_n will_v our_o keckerman_n conclude_v the_o water_n in_o some_o place_n to_o be_v high_a in_o other_o place_n to_o be_v low_a than_o the_o earth_n and_o hence_o proceed_v he_o to_o give_v a_o answer_n to_o their_o reason_n who_o have_v affirm_v the_o earth_n to_o be_v high_a than_o the_o sea_n what_o to_o think_v of_o the_o proposition_n or_o conclusion_n we_o will_v show_v hereafter_o but_o in_o the_o mean_a space_n i_o hold_v this_o conclusion_n not_o right_o infer_v out_o of_o these_o premise_n for_o first_o whereas_o he_o say_v that_o the_o water_n by_o nature_n be_v apt_a to_o gaher_n itself_o round_o into_o a_o 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of_o the_o water_n be_v concentric_a to_o the_o earth_n he_o confute_v himself_o for_o according_a to_o the_o principle_n of_o geometry_n in_o a_o sphere_n or_o circle_n all_o the_o line_n draw_v from_o the_o centre_n to_o the_o circumference_n must_v be_v equal_a then_o must_v all_o place_n in_o the_o circumference_n or_o superficies_n of_o a_o spherical_a body_n be_v of_o equal_a height_n from_o the_o centre_n and_o by_o consequence_n the_o sea_n be_v such_o a_o spherical_a body_n can_v have_v that_o inequality_n which_o keckerman_n imagine_v it_o to_o have_v wherefore_o some_o other_o demonstation_n must_v be_v seek_v for_o this_o conclusion_n i_o will_v go_v no_o further_o then_o that_o i_o have_v speak_v in_o the_o former_a chapter_n concern_v the_o figure_n of_o the_o water_n where_o i_o have_v probable_o show_v it_o to_o be_v conicall_a and_o out_o of_o this_o may_v be_v easy_o gather_v how_o it_o may_v be_v high_a than_o the_o land_n in_o some_o place_n as_o of_o the_o middle_n of_o great_a sea_n where_o the_o head_n of_o the_o cone_n be_v lift_v high_o in_o other_o low_a as_o in_o the_o narrow_a streit_n where_o the_o increase_n of_o the_o eminency_n be_v also_o less_o the_o ground_n and_o principle_n of_o which_o we_o have_v lay_v before_o 1_o the_o sea_n in_o respect_n of_o the_o earth_n be_v high_a in_o one_o place_n then_o another_o beside_o the_o natural_a conformity_n of_o the_o water_n to_o a_o conicall_a figure_n as_o we_o have_v foreshowed_n whence_o one_o part_n of_o the_o superficies_n must_v be_v grant_v to_o be_v high_a than_o another_o we_o must_v needs_o in_o the_o sea_n acknowledge_v other_o accidental_a cause_n which_o produce_v a_o inequality_n in_o the_o part_n of_o the_o sea_n the_o chief_a whereo●_n be_v the_o equality_n of_o inclination_n in_o all_o part_n of_o the_o water_n to_o motion_n and_o the_o inequality_n of_o the_o channel_n and_o shore_n whence_o it_o come_v to_o pass_v that_o the_o water_n of_o the_o sea_n be_v every_o whereof_o itself_o equal_o incline_v to_o motion_n be_v notwithstanding_o unequal_o receive_v into_o channel_n so_o that_o in_o some_o place_n have_v as_o it_o be_v a_o large_a dominion_n to_o invade_v as_o in_o the_o main_a ocean_n it_o fall_v low_a and_o evener_n in_o some_o other_o place_n as_o streite_n or_o narrow_a sea_n the_o water_n have_v a_o large_a entrance_n from_o the_o ocean_n but_o little_a or_o no_o passage_n through_o it_o must_v needs_o swell_v high_a and_o so_o one_o place_n by_o accident_n become_v high_a or_o low_a than_o another_o which_o far_a to_o confirm_v diverse_a instance_n may_v be_v allege_v out_o of_o modern_a and_o ancient_a observation_n for_o diverse_a history_n give_v testimony_n that_o sundry_a king_n of_o egypt_n by_o cut_v the_o isthmus_n or_o narrow_a neck_n of_o land_n lie_v betwixt_o the_o red_a sea_n &_o the_o mediterranean_a labour_v to_o make_v africa_n a_o island_n &_o open_a passage_n from_o one_o sea_n to_o the_o other_o but_o afterward_o 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as_o meridian_n parallel_n &_o rhumbe_n on_o the_o chart_n in_o such_o sort_n as_o these_o error_n may_v be_v prevent_v and_o the_o due_a proportion_n and_o symmetry_n of_o place_n well_o observe_v but_o our_o industrious_a countryman_n have_v wade_v through_o all_o these_o difficulty_n and_o find_v out_o the_o true_a demonstration_n of_o a_o projection_n of_o these_o line_n to_o be_v inscribe_v in_o the_o chart_n in_o such_o sort_n as_o no_o sensible_a error_n can_v show_v itself_o from_o who_o copious_a industry_n we_o will_v extract_v so_o much_o as_o may_v serve_v our_o purpose_n only_o contract_v his_o invention_n into_o a_o short_a method_n have_v many_o matter_n to_o pass_v through_o in_o this_o treatise_n 2_o the_o distance_n of_o the_o parallel_n in_o the_o chart_n must_v increase_v proportionable_o as_o the_o secantes_fw-la of_o the_o latitude_n it_o have_v be_v a_o conceive_a error_n as_o we_o have_v show_v that_o all_o the_o parallel_n in_o the_o chart_n here_o mention_v shall_v everywhere_a keep_v the_o same_o distance_n one_o from_o the_o other_o from_o the_o equator_fw-la to_o the_o pole_n yet_o because_o no_o man_n for_o aught_o i_o know_v have_v out_o of_o geometrical_a ground_n discover_v the_o true_a proportion_n beside_o my_o forenamed_a author_n i_o must_v herein_o also_o follow_v his_o direrection_n as_o near_o as_o i_o can_v in_o his_o own_o footstep_n because_o i_o will_v not_o any_o way_n prejudice_n his_o invention_n first_o therefore_o we_o must_v consider_v in_o that_o chart_n because_o the_o parallel_n be_v equal_a one_o to_o the_o other_o for_o every_o one_o be_v set_v equal_a to_o the_o equinoctial_a the_o meridian_n also_o must_v be_v parallel_n and_o straight_a line_n and_o by_o consequence_n the_o rhumbe_n make_v equal_a angle_n with_o every_o meridian_n must_v be_v also_o straight_a line_n second_o because_o the_o spherical_a superficies_n whereof_o the_o chart_n be_v imagine_v to_o be_v produce_v be_v conceive_v to_o swell_v 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sign_n as_o fk_v that_o be_v ak_v to_o ae_n as_o be_v gk_n so_o be_v ik_fw-mi to_o fk_n therefore_o in_o this_o geographical_a chart_n the_o semi-diameter_n of_o each_o parallel_n be_v equal_a to_o the_o semidiameter_n of_o the_o equinoctial_a or_o whole_a sign_n the_o part_n of_o the_o meridian_n at_o every_o point_n of_o latitude_n must_v of_o necessity_n increase_v with_o the_o same_o proportion_n wherewith_o the_o secant_v of_o the_o arch_n contain_v between_o these_o point_n of_o latitude_n and_o the_o equinoctial_a increase_n out_o of_o which_o geometrical_a ground_n thus_o explain_v will_v arise_v a_o certain_a and_o easy_a method_n for_o the_o make_n of_o a_o table_n by_o the_o help_n of_o trigonometry_n whereby_o the_o meridian_n in_o any_o geographical_a or_o hydrographical_a table_n may_v true_o and_o in_o due_a proportion_n divide_v itself_o into_o part_n from_o the_o equinoctial_a towards_o either_o pole_n for_o take_v for_o grant_v each_o distance_n of_o each_o point_n of_o latitude_n or_o of_o each_o parallel_n one_o from_o the_o other_o to_o comprehend_v so_o many_o point_n as_o the_o secant_v of_o the_o latitude_n of_o each_o point_n or_o parallel_n contain_v we_o may_v draw_v out_o a_o table_n by_o continual_a addition_n of_o the_o secant_v answerable_a unto_o the_o latitude_n of_o each_o parallel_n unto_o the_o sum_n compound_v of_o all_o the_o former_a secant_v beginning_n with_o the_o secant_v of_o the_o first_o parallel_n latitude_n and_o thereunto_o add_v the_o second_o parallel_n latitude_n and_o to_o the_o sum_n of_o both_o these_o add_v the_o three_o parallel_n latitude_n and_o so_o forth_o in_o all_o the_o rest_n and_o this_o table_n will_v show_v the_o section_n and_o point_n of_o latitude_n in_o the_o meridian_n of_o the_o geographical_a map_n through_o which_o section_n the_o parallel_n ought_v to_o be_v draw_v which_o table_n we_o have_v late_o set_v out_o by_o edward_n wright_n in_o his_o correction_n of_o nautical_a error_n to_o who_o for_o further_a satisfaction_n in_o this_o kind_n i_o refer_v the_o diligent_a reader_n out_o of_o the_o same_o ground_n we_o may_v also_o deduce_v the_o rumbe_n for_o since_o that_o the_o chart_n as_o we_o have_v show_v be_v nothing_o else_o but_o a_o plain_a parallellogramme_n conceive_v to_o be_v make_v of_o the_o extension_n of_o a_o spherical_a superficies_n inscribe_v in_o a_o concave_n cylinder_n it_o must_v needs_o be_v that_o the_o rumbe_n make_v equal_a angle_n with_o all_o the_o meridian_n therefore_o if_o in_o the_o chart_n a_o circle_n be_v draw_v divide_v into_o 32_o equal_a part_n begin_v with_o the_o meridian_n pass_v by_o the_o centre_n of_o that_o circle_n the_o line_n draw_v from_o the_o centre_n of_o these_o section_n will_v be_v the_o rumbe_n for_o that_o place_n 9_o of_o the_o geographical_a plaine-chart_n we_o have_v speak_v it_o behoove_v we_o next_o to_o treat_v of_o the_o geographical_a planispheare_n the_o planispheare_n be_v a_o table_n or_o map_n of_o 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the_o part_n whereof_o this_o terrestrial_a sphere_n consist_v may_v be_v consider_v two_o way_n either_o as_o they_o be_v unite_v in_o the_o whole_a by_o a_o magnetical_a form_n or_o disjoin_v and_o take_v by_o themselves_o in_o the_o former_a the_o part_n of_o the_o earth_n be_v suppose_v to_o move_v in_o the_o same_o motion_n by_o which_o the_o whole_a sphere_n of_o the_o earth_n be_v move_v because_o the_o whole_a and_o all_o the_o part_n take_v together_o be_v the_o same_o and_o subject_a to_o the_o same_o circular_a revolution_n notwithstanding_o this_o any_o part_n several_a and_o disjoin_v from_o the_o whole_a have_v a_o right_a motion_n downward_o towards_o the_o centre_n by_o which_o it_o return_v to_o its_o true_a natural_a union_n this_o inclination_n of_o the_o part_n agree_v not_o with_o the_o whole_a earth_n neither_o unto_o any_o part_n unite_v and_o conglobate_v to_o the_o whole_a but_o only_o to_o a_o part_n separate_v from_o his_o place_n so_o that_o the_o whole_a 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add_v this_o diagramme_n l●t_v the_o whole_a orb_n of_o the_o earth_n be_v imagine_v to_o be_v lqm_n who_o centre_n be_v a_o the_o thickness_n of_o the_o air_n ascend_v from_o the_o earth_n o_o q._n now_o as_o the_o orb_n of_o this_o fluid_a substance_n of_o the_o air_n ascend_v uniform_o be_v move_v round_o with_o the_o globe_n of_o the_o earth_n so_o must_v we_o imagine_v the_o part_n of_o it_o mark_v out_o by_o the_o right_a line_n oq_fw-la to_o be_v carry_v round_o with_o a_o unalterable_a revolution_n wherefore_o if_o any_o heavy_a body_n shall_v be_v place_v in_o the_o line_n oq_fw-la as_o for_o example_n p_o it_o will_v fall_v down_o towards_o the_o centre_n by_o the_o short_a way_n in_o the_o same_o line_n oq_fw-la which_o motion_n downward_o towards_o the_o centre_n can_v neither_o be_v hinder_v by_o the_o circular_a motion_n of_o the_o earth_n nor_o yet_o mix_v or_o compound_v with_o it_o it_o can_v be_v hinder_v because_o as_o we_o have_v show_v a_o right_a motion_n and_o a_o circular_a being_n not_o in_o the_o same_o kind_n can_v proper_o be_v repute_v contrary_a neither_o for_o the_o same_o cause_n can_v they_o be_v mix_v or_o compound_v wherefore_o this_o motion_n will_v be_v no_o other_o than_o one_o simple_a and_o right_a motion_n never_o vary_v from_o the_o line_n oq_fw-la which_o be_v once_o understand_v it_o be_v no_o hard_a thing_n to_o imagine_v a_o bullet_n or_o stone_n force_v by_o equal_a strength_n from_o q_o towards_o l_o and_o from_o q._n towards_o the_o point_n m_o to_o observe_v always_o a_o like_a distance_n notwithstanding_o the_o earth_n circular_a revolution_n have_v hitherto_o show_v this_o spherical_a motion_n of_o the_o earth_n to_o be_v possible_a and_o no_o way_n to_o contradict_v nature_n we_o be_v in_o the_o next_o place_n to_o show_v it_o to_o be_v no_o way_n opposite_a to_o the_o sense_n of_o
not_o back_v with_o any_o necessary_a demonstration_n for_o it_o prove_v not_o thing_n else_o but_o the_o earth_n to_o be_v the_o centre_n of_o all_o earthy_a and_o heavy_a body_n and_o not_o to_o be_v absolute_o place_v in_o the_o exact_a middle_n of_o the_o world_n another_o reason_n not_o much_o unlike_o the_o former_a be_v draw_v by_o some_o from_o a_o final_a cause_n and_o the_o natural_a harmony_n of_o the_o part_n of_o the_o world_n one_o with_o the_o other_o the_o earth_n say_v they_o be_v of_o all_o other_o body_n the_o most_o vile_a and_o sordid_a therefore_o it_o be_v agreeable_a to_o nature_n that_o it_o shall_v be_v place_v in_o the_o middle_n equal_o distant_a from_o each_o part_n of_o the_o heaven_n that_o one_o part_n may_v not_o seem_v to_o complain_v of_o this_o unpleasing_a vicinity_n more_o than_o another_o but_o this_o reason_n take_v as_o grant_v to_o matter_n as_o yet_o not_o decide_v first_o that_o the_o earth_n among_o all_o other_o body_n be_v most_o vile_a and_o sordid_a depend_v on_o the_o ground_n of_o peripatetic_n that_o the_o heavenly_a body_n suffer_v no_o corruption_n a_o thing_n soon_o speak_v then_o prove_v second_o that_o pure_a and_o impure_a body_n the_o most_o excellent_a and_o most_o vile_a in_o nature_n be_v always_o most_o distant_a as_o in_o nature_n so_o in_o place_n which_o be_v a_o peremptory_a assertion_n without_o ground_n a_o three_o reason_n more_o probable_a than_o the_o former_a be_v draw_v from_o the_o apparence_n of_o star_n above_o the_o horizon_n it_o be_v manifest_a that_o the_o star_n above_o the_o horizon_n appear_v always_o to_o be_v of_o one_o and_o the_o selfsame_o magnitude_n and_o quantity_n whether_o in_o the_o vertical_a point_n or_o in_o the_o east_n or_o the_o west_n or_o any_o other_o place_n whence_o we_o may_v collect_v that_o they_o differ_v equal_o in_o distance_n from_o the_o earth_n and_o by_o consequence_n the_o earth_n be_v seat_v in_o the_o middle_n of_o the_o world_n for_o if_o it_o 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the_o earth_n be_v either_o internal_a or_o external_a 3_o the_o internal_a i_o call_v such_o as_o be_v inbred_a in_o the_o earth_n itself_o which_o be_v of_o two_o sort_n either_o common_a or_o magnetical_a 4_o the_o common_a be_v in_o number_n three_o 1_o the_o magnitude_n or_o extent_n of_o a_o country_n 2_o the_o bound_n 3_o the_o quality_n the_o magnitude_n comprehend_v the_o length_n and_o breadth_n of_o any_o region_n some_o man_n may_v imagine_v that_o i_o make_v a_o needless_a repetition_n of_o these_o propriety_n for_o as_o much_o as_o many_o of_o they_o seem_v to_o have_v be_v speak_v of_o before_o in_o our_o spherical_a part_n but_o i_o answer_v that_o i_o there_o handle_v no_o other_o matter_n but_o such_o as_o concern_v the_o whole_a globous_a body_n of_o the_o earth_n but_o my_o intent_n here_o be_v to_o treat_v of_o such_o propriety_n as_o particular_o design_n out_o a_o special_a place_n for_o it_o be_v not_o one_o thing_n to_o speak_v of_o the_o magnitude_n of_o the_o 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in_o devon_n have_v in_o latitude_n about_o 50_o degree_n the_o northermost_a point_n situate_v near_o the_o mouth_n of_o the_o river_n ardurnus_fw-la in_o the_o farthermost_a part_n of_o scotland_n have_v in_o latitude_n about_o 60_o degree_n to_o omit_v minute_n the_o lesser_a of_o these_o latitude_n subtract_v from_o the_o great_a the_o residue_n will_v be_v 10_o degree_n which_o be_v imagine_v in_o the_o meridian_n which_o be_v a_o great_a circle_n be_v to_o be_v multiply_v by_o 60_o and_o so_o convert_v into_o mile_n which_o will_v be_v 600_o the_o length_n of_o britain_n from_o south_n to_o north._n 2_o if_o the_o place_n who_o magnitude_n we_o inquire_v be_v under_o the_o equatour_n the_o southern_a latitude_n add_v to_o the_o northern_a will_v show_v the_o breadth_n from_o the_o north_n to_o the_o south_n to_o illustrate_v this_o by_o a_o example_n we_o will_v take_v the_o whole_a continent_n of_o africa_n who_o southern_a latitude_n about_o the_o cape_n of_o good_a hope_n we_o ●●all_v find_v to_o be_v near_o thirty_o degree_n the_o most_o northern_a latitude_n about_o the_o straits_n of_o gibraltar_n very_o near_o the_o same_o rate_n these_o two_o sum_n add_v together_o will_v amount_v to_o 60_o degree_n which_o multiply_v by_o 60_o the_o number_n of_o mile_n answerable_a to_o a_o degree_n in_o a_o great_a circle_n because_o we_o suppose_v it_o here_o to_o be_v a_o arch_n of_o the_o meridian_n we_o shall_v have_v 3600_o mile_n the_o breadth_n of_o africa_n from_o south_n to_o north._n 4_o the_o measure_n of_o the_o length_n of_o a_o region_n betwixt_o east_n and_o west_n admit_v of_o two_o case_n for_o either_o the_o country_n be_v suppose_v to_o be_v without_o the_o first_o meridian_n or_o under_o it_o both_o which_o shall_v be_v teach_v in_o these_o rule_n 1_o if_o the_o region_n be_v situate_a without_o the_o first_o meridian_n the_o lesser_a longitude_n subtract_v from_o the_o great_a will_v show_v the_o diameter_n betwixt_o east_n and_o west_n for_o a_o 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the_o four_o first_o quality_n of_o heat_n cold_a drought_n and_o moisture_n whereon_o depend_v a_o great_a part_n of_o the_o disposition_n not_o only_o of_o the_o soil_n but_o also_o of_o man_n body_n for_o as_o much_o as_o the_o one_o ordinary_o borrow_v his_o fruitfulness_n or_o barrenness_n of_o these_o first_o quality_n and_o the_o other_o have_v his_o vital_a organ_n which_o be_v the_o minister_n of_o the_o soul_n much_o affect_v with_o they_o in_o so_o much_o as_o some_o philosopher_n have_v undertake_v to_o define_v all_o the_o difference_n of_o man_n wit_n and_o intellectual_a faculty_n out_o of_o the_o temperament_n of_o the_o brain_n according_a to_o these_o four_o accident_n and_o what_o physician_n will_v not_o acknowledge_v all_o these_o quality_n and_o their_o mixture_n to_o challenge_v a_o extraordinary_a pre-eminence_n in_o the_o disposition_n and_o constitution_n of_o man_n body_n who_o mixture_n be_v the_o first_o ground_n of_o health_n or_o sickness_n the_o second_o 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which_o have_v any_o stone_n in_o
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egypt_n ethiopia_n superior_a in_o asia_n arabia_n india_n insulae_fw-la philippinae_fw-la in_o america_n nova_fw-la hispania_n hispaniola_n cuba_n with_o other_o part_n of_o america_n mexicana_n in_o the_o other_o extreme_a section_n from_o 60_o degree_n of_o latitude_n to_o the_o pole_n we_o comprehend_v in_o europe_n groenland_n island_n friesland_n norwey_n suethland_n for_o the_o most_o part_n nova_fw-la zembla_n in_o asia_n a_o great_a part_n of_o scythia_n orientalis_n in_o america_n anian_n quivira_n with_o diverse_a other_o part_n of_o the_o north_n of_o america_n mexicana_n in_o the_o middle_n betwixt_o both_o betwixt_o 30_o and_o 60_o degree_n of_o latitude_n we_o comprehend_v in_o africa_n barbary_n in_o europe_n all_o the_o kingdom_n except_o those_o north_n province_n before_o name_v and_o almost_o all_o asia_n except_o some_o place_n towards_o the_o south_n as_o arabia_n india_n and_o the_o philippinae_fw-la insulae_fw-la former_o place_v in_o the_o first_o section_n 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diminution_n of_o heat_n in_o the_o region_n must_v the_o air_n need_v receive_v into_o
itself_o the_o contrary_a quality_n of_o cold_a a_o argument_n of_o cold_a may_v be_v draw_v from_o the_o testimony_n of_o alvarez_n who_o affirm_v the_o water_n there_o in_o the_o month_n of_o june_n to_o be_v freeze_v over_o with_o ice_n the_o south_n wind_n blow_v the_o second_o cause_n be_v by_o judicious_a writer_n ascribe_v to_o the_o subtlety_n and_o rarity_n of_o the_o air_n under_o the_o equinoctial_a line_n which_o can_v receive_v into_o itself_o so_o many_o degree_n of_o heat_n as_o the_o thick_a and_o gross_a air_n of_o diverse_a place_n distant_a for_o the_o north_n region_n wherein_o europe_n and_o a_o great_a part_n of_o asia_n be_v place_v be_v for_o the_o most_o part_n full_a of_o water_n which_o burst_v out_o of_o secret_a and_o unknown_a concavity_n do_v produce_v infinite_a fen_n gogs_o lake_n and_o marsh_n which_o in_o the_o summer_n season_n cause_n infinite_a vapour_n to_o abound_v which_o be_v intermix_v with_o heat_n scorch_v and_o heat_n more_o fervent_o 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the_o tropic_n the_o wind_n be_v for_o the_o most_o part_n easterly_n beyond_o westerly_a and_o a_o dutch-discoverer_n have_v relate_v that_o in_o guinea_n they_o have_v a_o certain_a wind_n which_o come_v from_o the_o land_n till_o noon_n and_o then_o very_a violent_a from_o the_o sea_n in_o so_o much_o as_o the_o inhabitant_n be_v wont_a to_o traffic_v in_o the_o morning_n be_v not_o able_a to_o endure_v it_o which_o if_o it_o be_v true_a we_o can_v imagine_v this_o region_n to_o be_v so_o hot_a as_o man_n suppose_v for_o here_o the_o heat_n in_o the_o night_n be_v assuage_v by_o the_o absence_n or_o remoteness_n of_o the_o sun_n likewise_o the_o excess_n of_o heat_n incident_a to_o noonetide_v be_v much_o qualify_v or_o as_o it_o shall_v seem_v by_o this_o relation_n altogether_o vanquish_v by_o the_o cold_a wind_n derive_v from_o the_o sea_n another_o reason_n no_o less_o probable_a may_v be_v derive_v from_o the_o excessive_a height_n of_o the_o land_n and_o great_a mountain_n observe_v to_o be_v near_o or_o under_o the_o line_n who_o top_n be_v always_o cover_v with_o snow_n which_o give_v a_o sufficient_a testimony_n of_o cold_a for_o instance_n we_o need_v go_v no_o far_o than_o the_o ridge_n of_o the_o mountain_n and●_n in_o america_n where_o they_o observe_v the_o air_n to_o be_v so_o chin_n and_o cold_a that_o it_o inforce_v they_o to_o scour_v and_o vomit_v which_o come_v near_o it_o the_o like_a whereof_o be_v relate_v of_o another_o call_v punas_n where_o the_o extremity_n of_o cold_a cut_v off_o their_o hand_n from_o which_o experience_n we_o may_v find_v some_o place_n near_o the_o line_n to_o be_v more_o infest_a with_o cold_a 〈◊〉_d heat_n the_o la●t_n and_o great_a ●eason_n may_v be_v take_v from_o the_o continual_a moisture_n wherewith_o the_o region_n situate_v betwixt_o the_o tropic_n frequent_o abound_v this_o moisture_n be_v derive_v from_o two_o cause_n 1_o from_o the_o melt_a of_o the_o snow_n on_o the_o top_n of_o the_o mountain_n by_o the_o sun_n which_o run_v from_o thence_o continual_o into_o the_o valley_n keep_v they_o almost_o always_o waterish_a especial_o in_o the_o midst_n of_o summer_n when_o the_o sun_n be_v near_a 2_o from_o the_o extreme_a heat_n of_o the_o sun_n which_o be_v very_o near_o and_o many_o time_n vertical_a raise_v up_o continual_o moist_a vapour_n in_o great_a quantity_n these_o vapour●_n in_o so_o short_a a_o time_n as_o 12_o hour_n be_v not_o consume_v but_o meeting_n with_o the_o cold_a from_o the_o middle_a region_n of_o the_o air_n be_v therewith_o convert_v into_o drop_n which_o fall_v down_o again_o in_o great_a shower_n in_o so_o much_o as_o some_o traveller_n of_o good_a credit_n have_v tell_v i_o that_o all_o the_o while_o they_o sail_v betwixt_o the_o tropic_n they_o seldom_o see_v the_o sun_n by_o reason_n of_o rain_n and_o cloudy_a vapour_n whence_o we_o note_v with_o josephus_n acosta_n by_o way_n of_o consectary_n that_o the_o presence_n of_o the_o sun_n betwixt_o the_o tropic_n produce_v moisture_n but_o contrariwise_o without_o the_o tropic_n it_o be_v the_o cause_n of_o drought_n whence_o the_o inhabitant_n enjoy_v as_o it_o be_v a_o winter_n when_o the_o sun_n be_v to_o they_o vertical_a because_o of_o the_o distemperature_n by_o wind_n raines_n and_o storm_n and_o great_a inundation_n whereunto_o common_o all_o great_a river_n betwixt_o the_o tropic_n be_v most_o subject_a also_o they_o seem_v to_o have_v a_o summer_n when_o the_o sun_n be_v in_o or_o near_o the_o tropic_n because_o be_v somewhat_o remove_v he_o can_v be_v so_o powerful_a in_o draw_v such_o store_n of_o vapour_n and_o exhalation_n which_o he_o can_v dispel_v and_o consume_v thus_o we_o see_v the_o moiety_n of_o this_o first_o section_n lie_v 15_o degree_n from_o the_o equatour_n how_o soever_o subject_a to_o a_o great_a reflection_n of_o the_o sunbeam_n yet_o through_o the_o concurrence_n of_o other_o cause_n to_o be_v find_v indifferent_o temperate_a and_o the_o other_o 15_o degree_n about_o the_o tropic_n howsoever_o subject_a to_o a_o lesser_a reflection_n to_o be_v excessive_a hot_a which_o late_a cause_n beside_o all_o which_o have_v be_v say_v before_o shall_v be_v further_o confirm_v hereafter_o by_o the_o complexion_n of_o the_o native_a inhabitant_n which_o we_o shall_v find_v to_o be_v choller-adust_a the_o true_a symptom_n of_o a_o external_a heat_n but_o if_o any_o man_n shall_v answer_v that_o this_o accident_n be_v incident_a as_o well_o to_o the_o region_n situate_v under_o the_o equatour_n as_o to_o that_o under_o the_o tropic_n i_o will_v produce_v another_o reason_n draw_v from_o the_o colour_n of_o their_o countenance_n which_o under_o the_o equatour_n be_v not_o see_v so_o black_a and_o swarthy_a as_o elsewhere_o for_o towards_o the_o tropic_n be_v place_v the_o land_n of_o blackmore_n or_o nigritarum_fw-la regio_fw-la where_o the_o people_n be_v all_o coalblack_a which_o may_v perhaps_o happen_v also_o to_o those_o that_o dwell_v under_o the_o other_o tropic_n but_o that_o other_o cause_n interpose_v themselves_o which_o hinder_v the_o excess_n of_o heat_n which_o be_v take_v to_o be_v the_o chief_a cause_n of_o this_o blackness_n here_o some_o will_v oppose_v the_o opinion_n of_o herodotus_n which_o refer_v the_o cause_n of_o this_o blackness_n in_o the_o negro_n to_o the_o seed_n which_o he_o will_v have_v to_o be_v black_a other_o will_v have_v this_o blackness_n as_o a_o curse_n inflict_v upon_o cham_n posterity_n but_o these_o opinion_n carry_v very_o little_a show_n of_o probability_n for_o first_o if_o this_o former_a opinion_n be_v admit_v it_o will_v of_o necessity_n follow_v say_v boden_n that_o ethiopian_n in_o scythia_n shall_v always_o be_v bear_v black_a and_o scythian_n in_o ethiopia_n shall_v be_v always_o white_a for_o as_o much_o as_o all_o nation_n from_o the_o begin_n of_o the_o world_n have_v be_v confuse_v and_o mix_v by_o the_o distinction_n of_o colony_n but_o experience_n teach_v we_o that_o man_n trasplant_v into_o another_o soil_n will_v in_o manner_n of_o tree_n and_o plant_n by_o little_a and_o little_a degenerate_a and_o change_v their_o first_o disposition_n as_o if_o a_o blackmore_n marry_v and_o beget_v child_n here_o with_o we_o in_o england_n experience_n will_v plain_o declare_v the_o child_n to_o be_v more_o incline_v to_o whiteness_n then_o the_o father_n and_o the_o grand_a child_n more_o than_o they_o second_o if_o the_o second_o opinion_n of_o cham_n curse_n deserve_v any_o credit_n i_o see_v no_o reason_n why_o all_o his_o posterity_n such_o as_o by_o most_o writer_n consent_v be_v general_o the_o people_n of_o africa_n shall_v not_o be_v subject_a to_o the_o same_o execration_n as_o well_o as_o one_o little_a parcel_n of_o it_o moreover_o it_o be_v report_v by_o pline_n and_o confirm_v by_o appian_n that_o in_o those_o place_n be_v many_o
the_o scripture_n especial_o in_o the_o 8_o of_o the_o proverb_n and_o the_o 103_o psalm_n where_o god_n be_v say_v to_o have_v set_v a_o bind_v upon_o the_o sea_n which_o they_o shall_v not_o pass_v but_o this_o reason_n seem_v not_o warrantable_a that_o the_o great_a creator_n of_o all_o thing_n shall_v in_o the_o first_o institution_n of_o nature_n impose_v a_o perpetual_a violence_n upon_o nature_n moreover_o all_o miracle_n be_v temporary_a and_o not_o perpetual_a for_o than_o be_v it_o ordinary_a and_o so_o scarce_o a_o miracle_n other_o upon_o less_o ground_n have_v imagine_v that_o there_o be_v certain_a northern_a star_n in_o vrsa_fw-la maior_fw-la and_o draco_n of_o so_o great_a virtue_n that_o they_o can_v draw_v the_o ocean_n from_o this_o habitable_a part_n of_o the_o earth_n towards_o the_o north_n and_o so_o constrain_v the_o water_n that_o they_o can_v overwhelm_v the_o earth_n but_o this_o opinion_n be_v ridiculous_a and_o deserve_v no_o solid_a refutation_n be_v a_o mere_a conjecture_n without_o ground_n or_o probability_n other_o upon_o the_o like_a reason_n have_v dream_v that_o there_o be_v more_o water_n than_o earth_n in_o the_o globe_n and_o that_o the_o water_n by_o his_o extraordinary_a mass_n occupy_v the_o centre_n of_o the_o world_n turn_v the_o earth_n on_o one_o side_n make_v it_o to_o swim_v as_o a_o ship_n upon_o the_o sea_n but_o this_o assertion_n we_o have_v refute_v in_o our_o first_o chapter_n of_o the_o first_o book_n all_o these_o author_n suppose_v that_o the_o earth_n be_v uncover_v towards_o the_o north-pole_n but_o overflow_v with_o water_n towards_o the_o south_n which_o the_o experience_n of_o navigatour_n at_o this_o day_n have_v sufficient_o disannul_v other_o again_o affirm_v out_o of_o a_o peripatetical_a dream_n that_o the_o water_n be_v ten_o time_n great_a than_o the_o earth_n suppose_v the_o earth_n to_o be_v like_o a_o sponge_n to_o drink_v up_o the_o water_n to_o prove_v which_o assertion_n they_o produce_v a_o experiment_n that_o the_o earth_n be_v dig_v any_o thing_n deep_a in_o most_o place_n there_o will_v appear_v water_n whence_o they_o collect_v that_o the_o water_n be_v mix_v with_o the_o whole_a earth_n and_o receive_v into_o it's_o concavity_n but_o howsoever_o we_o may_v grant_v that_o there_o be_v many_o and_o vast_a concavity_n in_o the_o earth_n capable_a of_o water_n yet_o it_o be_v impossible_a that_o the_o water_n shall_v be_v ten_o time_n as_o great_a as_o the_o earth_n for_o by_o this_o reason_n although_o all_o the_o terrestrial_a globe_n be_v water_n it_o can_v not_o be_v but_o that_o a_o great_a portion_n of_o water_n then_o that_o in_o the_o earth_n shall_v arise_v above_o the_o earth_n because_o according_a to_o their_o own_o supposition_n 9_o part_n shall_v be_v above_o the_o earth_n neither_o can_v aristotle_n word_n be_v well_o wrest_v to_o this_o interpretation_n for_o as_o much_o as_o he_o understand_v this_o tenfold_o proportion_n of_o the_o water_n to_o the_o earth_n not_o of_o the_o space_n which_o they_o replenish_v measure_v by_o their_o circle_n and_o diameter_n but_o of_o the_o proportion_n they_o bear_v one_o to_o the_o other_o in_o their_o transmutation_n as_o that_o one_o measure_n of_o earth_n turn_v into_o water_n shall_v be_v as_o much_o as_o 10._o all_o these_o opinion_n seem_v so_o absurd_a it_o seem_v more_o probable_a to_o imagine_v that_o either_o the_o water_n be_v condensated_a and_o thicken_v which_o be_v in_o the_o beginning_n create_v thin_a whence_o will_v follow_v that_o they_o shall_v occupy_v a_o less_o place_n and_o by_o consequence_n leave_v the_o dry-land_n in_o many_o place_n habitable_a or_o which_o be_v more_o probable_a that_o god_n in_o the_o first_o creation_n make_v certain_a hollow_a concavity_n and_o channel_n in_o the_o earth_n which_o be_v before_o plain_a and_o uniform_a into_o which_o the_o water_n be_v receive_v and_o bound_v in_o so_o much_o that_o they_o can_v not_o flow_v abroad_o this_o seem_v enough_o to_o satisfy_v the_o search_n of_o such_o as_o be_v not_o too_o curious_a to_o search_v into_o his_o secret_n who_o power_n and_o omnipotence_n transcend_v the_o capacity_n of_o the_o wise_a in_o this_o division_n of_o a_o place_n into_o water_n and_o land_n we_o will_v first_o treat_v of_o the_o sea_n and_o the_o accident_n belong_v thereunto_o not_o that_o the_o water_n be_v worthy_a or_o great_a than_o the_o earth_n the_o contrary_a whereof_o we_o have_v prove_v heretofore_o but_o because_o the_o consideration_n of_o it_o be_v more_o simple_a as_o that_o wherein_o few_o matter_n be_v to_o be_v handle_v then_o in_o the_o land_n for_o rivers_n and_o lake_n although_o consist_v of_o this_o watery_a element_n we_o think_v fit_a to_o handle_v apart_o as_o adjunct_n belong_v to_o the_o land_n 4_o in_o the_o sea_n be_v consider_v two_o thing_n 1_o the_o adjunct_n 2_o the_o division_n the_o accident_n of_o the_o sea_n whereof_o we_o be_v to_o treat_v be_v either_o internal_a or_o e●ternall_n 5_o the_o internal_a be_v such_o as_o be_v inbred_a in_o the_o sea_n these_o again_o be_v either_o absolute_a or_o relative_n 6_o the_o absolute_a be_v such_o as_o agree_v to_o the_o sea_n without_o any_o comparison_n with_o the_o land_n such_o be_v either_o figure_n quality_n or_o motion_n 7_o the_o figure_n be_v the_o conformity_n of_o the_o external_a superficies_n of_o the_o sea_n whereof_o observe_v this_o theorem_n 1_o although_o the_o whole_a body_n of_o the_o water_n be_v spherical_a yet_o it_o be_v probable_a that_o the_o part_n of_o it_o incline_v to_o a_o conicall_a figure_n that_o the_o whole_a water_n according_a to_o its_o outward_a superficies_n i●_n spherical_a and_o round_a be_v sufficient_o demonstrate_v before_o in_o the_o first_o book_n but_o notwithstanding_o this_o roundness_n of_o the_o whole_a the_o part_n of_o it_o may_v for_o aught_o i_o see_v admit_v of_o a_o conicall_a figure_n for_o as_o much_o as_o this_o have_v little_a or_o no_o proportion_n to_o the_o vast_a spheracity_n of_o the_o water_n no_o more_o then_o little_a hill_n to_o the_o greatness_n of_o the_o earth_n for_o the_o prosecution_n of_o which_o point_n i_o will_v first_o show_v the_o reason_n of_o this_o my_o conjecture_n ground_v on_o experience_n and_o afterward_o out_o of_o the_o ground_n and_o demonstration_n of_o the_o principle_n of_o mathematical_a philosophy_n endeavour_v to_o make_v it_o more_o manifest_a first_o therefore_o by_o a_o conicall_a line_n we_o understand_v a_o crooked_a line_n which_o differ_v from_o a_o periphery_a or_o circle_n in_o as_o much_o as_o it_o keep_v not_o always_o a_o equal_a distance_n from_o the_o centre_n but_o be_v high_a in_o the_o midst_n then_o on_o either_o side_n now_o if_o the_o part_n of_o the_o water_n stand_v still_o be_v in_o their_o high_a superficies_n exact_o spherical_a they_o shall_v by_o the_o same_o ground_n be_v concentricall_a or_o have_v the_o same_o centre_n with_o the_o whole_a earth_n but_o that_o it_o have_v not_o the_o same_o centre_n will_v appear_v by_o little_a drop_n of_o water_n fall_v on_o the_o ground_n which_o incline_v as_o we_o see_v to_o a_o round_a figure_n yet_o be_v it_o more_o than_o ridiculous_a to_o say_v that_o this_o round_a convexity_n of_o a_o drop_n can_v be_v concentricall_a with_o the_o whole_a earth_n since_o in_o so_o great_a a_o mass_n it_o be_v hardly_o sensible_a but_o here_o our_o ordinary_a philosopher_n be_v ready_a to_o answer_v that_o this_o conformity_n of_o the_o water_n drop_n in_o a_o round_a figure_n be_v rather_o violent_a then_o natural_a because_o the_o water_n be_v by_o nature_n moist_a be_v ready_a to_o fly_v and_o avoid_v the_o touch_n or_o drought_n or_o any_o dry_a thing_n and_o because_o the_o water_n thus_o avoid_v the_o drought_n can_v of_o necessity_n but_o some_o way_n touch_v it_o it_o be_v imagine_v to_o conform_v itself_o to_o that_o figure_n whereit_v it_o may_v least_o of_o all_o touch_n this_o be_v the_o round_a or_o spherical_a figure_n wherein_o any_o body_n contain_v can_v touch_v a_o plain_a otherwise_o then_o in_o one_o only_a point_n but_o against_o this_o conjecture_n of_o moisture_n fly_v drought_n strong_a enough_o be_v the_o experiment_n of_o scaliger_n in_o his_o 105_o exercitation_n that_o quicksilver_n a_o moist_a substance_n be_v cast_v either_o into_o water_n or_o iron-oare_n will_v gather_v itself_o to_o a_o round_a body_n notwithstanding_o it_o be_v manifest_a that_o quicksilver_n natural_o neither_o avoid_v the_o touch_n of_o water_n or_o iron_n for_o as_o much_o as_o the_o one_o be_v very_a m●●st_n the_o other_o of_o great_a affinity_n as_o our_o chimick_n teach_v with_o quicksilver_n the_o parent_n of_o all_o metal_n moreover_o it_o be_v manifest_a that_o this_o conformity_n to_o roundness_n be_v in_o drop_n of_o rain_n fall_v to_o the_o earth_n through_o the_o air_n yet_o will_v not_o our_o
to_o wit_n that_o it_o may_v water_v aswell_o the_o metal_n in_o the_o bowel_n of_o the_o earth_n as_o give_v moisture_n and_o nourishment_n to_o plant_n and_o live_a creature_n dwell_v thereon_o and_o this_o motion_n say_v he_o although_o it_o be_v against_o the_o particular_a nature_n of_o the_o water_n be_v not_o altogether_o violent_a because_o elementary_a body_n be_v bind_v by_o a_o certain_a law_n to_o obey_v and_o subject_v themselves_o to_o the_o heavenly_a so_o that_o motion_v impress_v by_o they_o be_v not_o enforce_v on_o they_o by_o violence_n for_o albeit_o in_o some_o sort_n it_o thwart_v the_o physical_a disposition_n yet_o have_v all_o creature_n a_o ob●dientiall_a aptness_n as_o they_o term_v it_o to_o submit_v themselves_o to_o the_o superior_a but_o this_o opinion_n of_o thomas_n aquinas_n in_o my_o conceit_n seem_v less_o sound_a than_o the_o former_a for_o first_o thomas_n have_v no_o need_n at_o all_o of_o these_o shift_n hold_v some_o of_o his_o other_o ground_n 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