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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
england_n great_a king_n scot_n 9,204 5 9.7215 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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the_o distance_n of_o two_o place_n in_o the_o same_o hemisphere_n without_o the_o equatour_n 255_o 3_o of_o the_o distance_n of_o place_n differ_v only_o in_o longitude_n in_o diverse_a hemisphere_n 260_o 4_o of_o the_o invention_n of_o place_n differ_v only_o in_o latitude_n either_o in_o the_o same_o or_o diverse_a kind_n of_o latitude_n 261_o 5_o to_o find_v out_o the_o distance_n of_o place_n differ_v in_o longitude_n and_o latitude_n by_o the_o square_a root_n 262_o 6_o how_o to_o perform_v the_o same_o by_o the_o table_n of_o sign_n tangent_n and_o secant_v 264_o 7_o to_o find_v out_o the_o distance_n of_o place_n by_o resolution_n of_o the_o spherical_a triangle_n 266_o 8_o of_o the_o invention_n of_o the_o distance_n by_o the_o semicircle_n 271_o 9_o of_o the_o expression_n of_o the_o distance_n on_o the_o globe_n or_o map_n 273_o to_o my_o book_n parue_v nec_fw-la invideo_fw-la sine_fw-la i_o liber_n ibis_fw-la in_fw-la aulam_fw-la hei_fw-la mihi_fw-la quòd_fw-la domino_fw-la 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such_o as_o be_v hillock_n brook_n lake_n town_n village_n and_o parish_n without_o any_o respect_n at_o all_o to_o the_o place_n adjoin_v as_o confer_v they_o with_o the_o spherical_a fabric_n of_o the_o whole_a earth_n which_o by_o the_o same_o author_n be_v well_o illustrate_v by_o a_o example_n draw_v from_o the_o painter_n art_n for_o we_o see_v that_o a_o painter_n desirous_a to_o draw_v out_o and_o represent_v the_o head_n of_o any_o live_a creature_n will_v first_o draw_v out_o the_o lineament_n of_o the_o first_o and_o great_a part_n as_o the_o eye_n ear_n nose_n mouth_n forehead_n and_o such_o like_a only_o care_v that_o they_o may_v challenge_v a_o due_a and_o just_a proportion_n and_o symmetry_n one_o with_o the_o other_o not_o regard_v the_o lesser_a particle_n and_o ornament_n in_o each_o of_o these_o want_v perhaps_o space_n competent_a to_o accomplish_v it_o but_o if_o the_o same_o painter_n will_v strive_v to_o express_v only_o a_o eye_n or_o a_o ear_n he_o may_v 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receive_a error_n as_o we_o have_v mention_v that_o there_o be_v a_o certain_a rock_n or_o pole_n of_o loadstone_n some_o degree_n distant_a from_o the_o true_a pole_n of_o the_o world_n which_o the_o magnetical_a needle_n in_o its_o variation_n shall_v respect_v this_o pole_n they_o have_v imagine_v to_o be_v in_o the_o same_o meridian_n with_o that_o which_o pass_v by_o the_o azore_n whence_o they_o have_v labour_v to_o show_v the_o reason_n why_o the_o compass_n shall_v not_o vary_v in_o that_o place_n which_o they_o explain_v by_o this_o figure_n let_v there_o be_v a_o circle_n describe_v the_o sphere_n e_o of_o the_o horizon_n of_o the_o arctic_a pole_n a_o the_o antarctic_a ●_o the_o pole_n or_o rock_n of_o loadstone_n place_v out_o of_o the_o pole_n of_o the_o earth_n b._n let_v there_o be_v place_v a_o magnetical_a directory_n needle_n in_o h_n it_o will_v according_a to_o their_o assertion_n tend_v to_o the_o point_n b_o by_o the_o magnetical_a meridian_n h_n b_o which_o 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be_v many_o magnetical_a meridian_n pass_v by_o the_o pole_n of_o the_o world_n as_o in_o the_o meridian_n about_o trinidado_n and_o bermuda_n the_o meridian_n about_o the_o westermost_a of_o the_o azore_n last_o the_o meridian_n run_v among_o the_o east_n indian_a land_n a_o little_a beyond_o java_n maior_n the_o magnetical_a and_o true_a meridian_n must_v needs_o agree_v in_o one_o now_o for_o as_o much_o as_o all_o these_o magnetical_a meridian_n pass_n by_o the_o pole_n of_o the_o earth_n there_o can_v no_o cause_n be_v assign_v why_o the_o magnetical_a pole_n shall_v be_v say_v to_o be_v in_o one_o rather_o than_o another_o and_o if_o in_o any_o then_o in_o all_o whence_o it_o must_v needs_o follow_v that_o as_o many_o magnetical_a meridian_n as_n you_o have_v to_o pass_v by_o the_o true_a pole_n of_o the_o world_n so_o many_o pair_n of_o magnetical_a pole_n must_v you_o have_v which_o will_v be_v opposite_a to_o all_o reason_n and_o experience_n 1_o the_o point_n of_o variation_n as_o of_o direction_n be_v only_o respective_a not_o attractive_a it_o be_v suppose_v by_o the_o ancient_n that_o the_o direction_n and_o variation_n of_o the_o loadstone_n be_v cause_v by_o a_o attractive_a point_n which_o draw_v and_o enforce_v the_o lily_n of_o the_o compass_n that_o way_n which_o error_n take_v place_n from_o another_o common-received_n opinion_n that_o all_o the_o other_o motion_n of_o the_o magnet_n be_v reduce_v to_o the_o attractive_a operation_n but_o the_o error_n be_v correct_v by_o one_o robert_n norman_n a_o englishman_n who_o find_v this_o point_n to_o be_v respective_a and_o no_o way_n attractive_a who_o reason_n or_o demonstration_n be_v not_o disapprove_v by_o dr_n gilbert_n although_o in_o other_o matter_n he_o sharp_o tax_v he_o his_o experiment_n be_v thus_o let_v there_o be_v a_o round_a vessel_n as_o we_o have_v describe_v full_o of_o water_n in_o the_o middle_n of_o this_o water-place_n a_o iron-wier_n in_o a_o convenient_a round_a cork_n or_o boat_n that_o it_o may_v swim_v upon_o the_o water_n even_o poyze_v let_v this_o iron-wire_n be_v first_o touch_v with_o the_o loadstone_n that_o it_o may_v more_o strong_o show_v the_o point_n of_o variation_n let_v this_o point_n of_o variation_n be_v d_o let_v this_o iron-wire_n rest_n upon_o the_o water_n in_o the_o cork_n for_o a_o certain_a time_n it_o be_v certain_o true_a that_o this_o iron-wire_n in_o the_o cork_n will_v not_o move_v itself_o to_o the_o margin_n or_o brink_n of_o the_o vessel_n d_o which_o certain_o it_o will_v do_v if_o the_o point_n d_o be_v a_o attractive_a point_n 3_o the_o variation_n of_o every_o place_n be_v constant_a and_o not_o variable_a this_o have_v be_v ratify_v by_o the_o experience_n of_o navigatour_n which_o in_o the_o selfsame_o region_n have_v never_o miss_v the_o true_a variation_n which_o they_o have_v assign_v they_o before_o if_o any_o difference_n be_v assign_v in_o variation_n to_o the_o same_o region_n we_o may_v impute_v it_o to_o their_o error_n which_o observe_v it_o arise_v either_o from_o want_n of_o skill_n or_o convenient_a instrument_n neither_o can_v this_o ever_o be_v change_v except_o some_o great_a deluge_n or_o dissolution_n happen_v of_o a_o great_a part_n of_o land_n as_o plato_n record_v of_o his_o atlantic_a land_n 4_o the_o variation_n be_v great_a in_o place_n near_o the_o pole_n of_o the_o earth_n this_o proportion_n be_v not_o to_o be_v take_v universal_o but_o common_o for_o the_o most_o part_n yet_o will_v it_o have_v truth_n in_o all_o place_n if_o all_o other_o thing_n be_v correspondent_a it_o be_v observe_v that_o the_o variation_n be_v great_a on_o the_o coast_n of_o norway_n and_o the_o low-countries_n then_o at_o morocco_n or_o guinea_n for_o at_o guinea_n the_o magnetical_a needle_n incline_v to_o the_o east_n a_o three_o part_n of_o one_o rumbe_n of_o the_o compass_n in_o the_o land_n of_o cape-verde_a half_a in_o the_o coast_n of_o morocco_n two_o three_o part_n in_o england_n at_o the_o mouth_n of_o thames_n according_a to_o the_o observation_n of_o d._n gilbert_n and_o ed._n wright_n though_o some_o deny_v it_o one_o whole_a rumbe_n in_o london_n the_o chief_a city_n of_o it_o eleven_o degree_n and_o more_o which_o we_o also_o find_v or_o thereabouts_o in_o oxford_n the_o reason_n be_v because_o the_o magnetical_a motive_n virtue_n be_v strong_a in_o the_o great_a latitude_n increase_v towards_o the_o pole_n and_o the_o large_a region_n of_o land_n lie_v towards_o the_o pole_n prevail_v more_o than_o those_o which_o be_v situate_v far_o off_o 12_o thus_o much_o for_o the_o variation_n the_o declination_n be_v a_o magnetical_a motion_n whereby_o the_o magnetical_a needle_n convert_v itself_o under_o the_o horizontall_a plain_a towards_o the_o axis_n of_o the_o earth_n what_o we_o have_v hitherto_o speak_v of_o direction_n and_o variation_n magnetical_a be_v such_o as_o may_v be_v
place_n whereunto_o the_o arabian_n come_v be_v a_o part_n of_o thessaly_n where_o such_o dwell_v who_o only_o cast_v their_o shadow_n one_o way_n to_o wit_n northward_o but_o arabia_n their_o natural_a country_n be_v suppose_v to_o be_v include_v in_o the_o torrid_a zone_n where_o the_o shadow_n be_v say_v to_o be_v cast_v both_o way_n they_o be_v say_v to_o wonder_v the_o reason_n why_o our_o shadow_n at_o noon_n be_v cast_v always_o towards_o the_o north_n and_o the_o other_o towards_o the_o south_n be_v relate_v before_o to_o be_v because_o the_o shadow_n do_v always_o occupy_v or_o possess_v the_o place_n opposite_a to_o the_o sun_n or_o light_a body_n 12_o the_o periscij_fw-la be_v such_o in_o habitant_n who_o shadow_n be_v move_v round_o about_o they_o in_o a_o circular_a form_n in_o some_o place_n of_o the_o earth_n the_o noone-shaddowe_n take_v not_o their_o beginning_n from_o our_o head_n but_o of_o one_o side_n and_o be_v extend_v forward_o to_o the_o plain_a of_o the_o terrestrial_a horizon_n and_o so_o move_v round_o about_o the_o opacous_a body_n as_o about_o a_o gnomon_n whence_o they_o be_v call_v periscij_fw-la which_o be_v as_o much_o to_o say_v as_o man_n have_v shadow_n move_v round_o about_o such_o be_v their_o habitation_n which_o be_v include_v in_o the_o frigid_a zone_n circumscribe_v within_o the_o polar_a circle_n and_o the_o pole_n here_o the_o sun_n never_o direct_o pass_v by_o the_o crown_n of_o their_o head_n but_o at_o one_o side_n so_o that_o they_o have_v the_o pole_n for_o their_o vertical_a point_n but_o the_o equatour_n as_o it_o be_v for_o their_o horizon_n these_o periscij_fw-la be_v of_o two_o sort_n for_o some_o be_v contain_v in_o the_o arctic_a circle_n the_o other_o in_o the_o antarcticke_a whereof_o both_o be_v as_o yet_o undiscovered_a especial_o the_o antarcticke_a be_v far_o off_o from_o our_o climate_n 1_o the_o habitation_n of_o the_o amphiscij_fw-la comprehend_v 7._o parallel_n of_o the_o heteroscij_fw-la 41._o of_o the_o periscij_fw-la 6._o month_n of_o the_o nature_n and_o accident_n of_o these_o three_o sort_n of_o people_n there_o need_v no_o more_o to_o be_v speak_v than_o we_o have_v deliver_v before_o in_o this_o chapter_n nevertheless_o for_o a_o recapitulation_n of_o our_o former_a doctrine_n in_o this_o &_o the_o precedent_a chapter_n it_o will_v not_o be_v amiss_o to_o insert_v this_o table_n of_o climate_n set_v out_o by_o our_o exact_a geographer_n wherein_o be_v express_v as_o it_o be_v to_o our_o view_n the_o respect_n and_o several_a accident_n which_o belong_v to_o these_o several_a inhabitant_n 13_o thus_o much_o for_o the_o inhabitant_n absolute_o consider_v the_o inhabitant_n compare_v one_o with_o the_o other_o according_a to_o their_o position_n be_v the_o perioeci_n antoeci_n and_o antipode_n 14_o the_o perioeei_n be_v those_o inhabitant_n which_o dwell_v in_o the_o two_o opposite_a point_n of_o the_o parallel_n circle_n 15_o the_o antoeci_n be_v such_o as_o dwell_v under_o the_o same_o meridian_n but_o in_o diverse_a parallel_n equal_o distant_a from_o the_o equatour_n 16_o the_o antipode_n be_v such_o as_o inhabit_v under_o one_o meridian_n but_o under_o two_o parallel_n equidistant_a from_o the_o equatour_n and_o two_o opposite_a point_n of_o those_o parallel_n a_o table_n of_o the_o climate_n belong_v to_o the_o three_o sort_n of_o inhabitant_n pag_n 229._o inhabitant_n belong_v to_o several_a climate_n clime_n parallel_n the_o long_a summer_n day_n how_o scr._n latitude_n &_o elevation_n of_o pole_n scr._n degr._fw-la the_o breadth_n of_o the_o climate_n deg._n scr_n the_o place_n by_o which_o the_o climate_n pass_v  _fw-fr 0_o 0_o 1_o 12_o 0_o 12_o 15_o 0_o 0_o 4_o 18_o 4_o 18_o the_o beginning_n from_o the_o aequatour_n  _fw-fr 1_o 2_o 3_o 122_o 30_o 1_o 45_o 8_o 34_o 12_o 43_o 8_o 25_o sinus_n arabicus_n or_o the_o red_a sea_n amphiscij_fw-la 2_o 4_o 5_o 13_o 0_o 13_o 15_o 16_o 43_o 20_o 33_o 7_o 50_o meroe_n a_o island_n of_o nilus_n in_o egypt_n  _fw-fr 3_o 6_o 7_o 13_o 40_o 13_o 45_o 23_o 10_o 27_o 36_o 7_o 3_o see_z a_o ci●ty_n in_o africa_n  _fw-fr 4_o 8_o 9_o 14_o 0_o 14_o 15_o 30_o 47_o 33_o 45_o 6_o 9_o alexandria_n in_o egypt_n  _fw-fr 5_o 10_o 11_o 14_o 30_o 14_o 45_o 36_o 30_o 39_o 2_o 5_o 17_o rhodes_n and_o babylon_n  _fw-fr 6_o 12_o 13_o 15_o 0_o 15_o 15_o 41_o 22_o 4●_n 3●_n 4_o 30_o rome_n and_o hellespont_n  _fw-fr 7_o 14_o 15_o 15_o 30_o 15_o 45_o 45_o 29_o 47_o 20_o 3_o 48_o venice_n and_o milan_n  _fw-fr 8_o 16_o 17_o 16_o 0_o 16_o 15_o 49_o 21_o 50_o 33_o 3_o 13_o podalia_n and_o ●he_v lesser_a tartary_n  _fw-fr 9_o 18_o 19_o 16_o 30_o 16_o 45_o 51_o 58_o 53_o 17_o 2_o 44_o batavia_n and_o wit●enberge_n  _fw-fr  _fw-fr 20_o 17_o 0_o 17_o ●●_o 54_o ●9_n 55_o ●4_n 2_o 17_o r●stoch_n 11_o 22_o 23_o 17_o 30_o 17_o 45_o ●●●7_n 57_o 34_o 2_o 0_o ireland_n and_o moscovy_n jeteroscij_fw-la 12_o 24_o 25_o 18_o 0_o 18_o 15_o 58_o 26_o 59_o 14_o 1_o 40_o bohus_fw-la a_o castle_n in_o norwey_n  _fw-fr 13_o 26_o 27_o 18_o 30_o 18_o 45_o 59_o 59_o 60_o 40_o 1_o 26_o gothland_n  _fw-fr 14_o 28_o 29_o 19_o 0_o 19_o 15_o 61_o 18_o 61_o 53_o 1_o 13_o bergis_n in_o norwey_n  _fw-fr 15_o 30_o 31_o 19_o 30_o 19_o 45_o 62_o 25_o 62_o 54_o 1_o 0_o wiburge_n in_o finland_n  _fw-fr 16_o 32_o 33_o 20_o 0_o 20_o 15_o 63_o 22_o 63_o 46_o 0_o 52_o arotia_n in_o sweden_n  _fw-fr 17_o 34_o 35●_n 20_o 30_o 20_o 45_o 64_o 6_o 64_o 30_o 0_o 44_o the_o mouth_n of_o darecally_a a_o river_n of_o sweden_n  _fw-fr 18_o 36_o 37_o 21_o 0_o 21_o 15_o 64_o 49_o 65_o 6_o 0_o 36_o diverse_a place_n of_o norwey_n  _fw-fr 19_o 38_o 39_o 21_o 30_o 21_o 45_o 65_o 21_o 65_o 35_o 0_o 29_o suecia_n alba_n russia_n  _fw-fr 20_o 40_o 41_o 22_o 0_o 22_o 15_o 65_o 47_o 65_o 57_o 0_o 22_o with_o many_o island_n  _fw-fr 21_o 42_o 43_o 22_o ●0_n 22_o 45_o 66_o 6_o 66_o 14_o 0_o 17_o thereunto_o adjoin_v  _fw-fr 22_o 44_o 45_o 23_o 0_o 23_o 15_o 66_o 20_o 66_o 25_o 0_o 11_o want_v special_a name_n  _fw-fr 23_o 46_o 47_o 23_o 30_o 23_o 45_o 66_o 28_o 66_o ●0_n 0_o 5_o and_o landmark_n  _fw-fr 24_o 48_o 24_o 0_o 66_o 31_o 0_o 0_o island_n under_o the_o antic_a circle_n  _fw-fr here_z the_o climate_n be_v account_v by_o the_o month_n from_o 66_o degr._fw-la menses_fw-la 1_o 67_o 15_o these_o climate_n be_v suppose_v to_o pass_v by_o diverse_a land_n within_o the_o arctic_a circle_n as_o these_o name_n be_v original_o greek_n be_v take_v from_o the_o diverse_a manner_n of_o dwell_v of_o one_o nation_n in_o respect_n of_o another_o the_o perioeci_n be_v call_v such_o as_o dwell_v as_o it_o be_v about_o the_o hemisphere_n in_o the_o same_o parallel_n in_o two_o opposite_a point_n the_o one_o in_o regard_n of_o the_o other_o be_v eastern_a the_o other_o western_a so_o that_o they_o be_v suppose_v to_o differ_v the_o one_o from_o the_o other_o 180_o degree_n which_o be_v the_o semicircle_n where_o we_o be_v to_o note_v that_o these_o degree_n be_v to_o be_v number_v not_o in_o a_o great_a but_o a_o lesser_a parallel_n which_o be_v less_o than_o the_o equatour_n for_o they_o which_o be_v under_o the_o equator_fw-la itself_o in_o 2_o opposite_a point_n be_v to_o be_v account_v rather_o antipode_n although_o for_o aught_o i_o see_v the_o name_n may_v agree_v the_o antoeci_n as_o the_o name_n import_v be_v such_o as_o dwell_v one_o against_o another_o have_v one_o selfe-same_a meridian_n and_o equal_a distance_n from_o the_o equatour_n the_o one_o in_o the_o northern_a the_o other_o in_o the_o southern_a hemisphere_n the_o antipode_n otherwise_o call_v antichthones_n may_v popular_o be_v describe_v to_o be_v such_o as_o dwell_v foot_n to_o foot_n one_o against_o the_o other_o so_o that_o a_o right_a line_n be_v draw_v from_o one_o side_n to_o the_o other_o will_v pass_v by_o the_o centre_n of_o the_o world_n whence_o they_o precise_o be_v distant_a the_o one_o from_o the_o other_o 1800_o in_o a_o great_a circle_n wherein_o they_o be_v distinguish_v from_o the_o perioeci_n which_o be_v divide_v by_o the_o degree_n of_o a_o lesser_a circle_n such_o compare_v one_o to_o the_o other_o be_v the_o american_n and_o the_o eastern_a indian_n about_o the_o river_n ganges_n the_o inhabitant_n of_o peru_n and_o calecute_v those_o of_o peria_n &_o summatra_n to_o england_n i_o find_v no_o other_o antipode_n but_o the_o sea_n or_o at_o least_o some_o parcel_n of_o land_n in_o the_o south_n continent_n near_o psittacorum_n regio_n here_o be_v to_o be_v note_v that_o the_o former_a definition_n of_o antipode_n give_v by_o the_o ancient_n be_v only_o to_o be_v understand_v of_o the_o know_v habitable_a
into_o mile_n the_o reason_n may_v be_v explain_v in_o this_o figure_n we_o will_v imagine_v of_o to_o be_v the_o lesser_a eglantine_n the_o great_a latitude_n there_o will_v remain_v a_o arch_n of_o the_o meridian_n fg_v which_o be_v multiply_v by_o 60_o be_v part_n of_o a_o great_a circle_n will_v make_v the_o number_n of_o mile_n answerable_a to_o that_o distance_n for_o a_o example_n we_o will_v take_v two_o city_n of_o england_n oxford_n and_o york_n the_o latitude_n oxford_n we_o take_v to_o be_v 31_o degree_n 30_o minute_n of_o york_n 54_o degree_n 30_o minute_n the_o lesser_a latitude_n subtract_v from_o the_o great_a there_o will_v remain_v three_o degree_n which_o be_v multiply_v by_o 60_o will_v render_v 180_o italian-mile_n the_o distance_n of_o these_o two_o place_n 2_o if_o two_o place_n in_o latitude_n only_o distant_a be_v situate_a in_o diverse_a kind_n of_o latitude_n add_v the_o latitude_n of_o the_o one_o to_o the_o other_o and_o the_o whole_a sum_n shall_v be_v the_o distance_n as_o for_o example_n in_o the_o former_a diagram_n imagine_v as_o in_o the_o former_a case_n bd_o to_o be_v the_o meridian_n of_o those_o distant_a place_n and_o ac_fw-la the_o equatour_n we_o will_v suppose_v the_o one_o place_n to_o be_v situate_a towards_o the_o north_n pole_n as_o g_z the_o other_z towards_o the_o south_n as_o in_o h_n then_o as_o appear_v by_o sense_n will_v the_o distance_n be_v the_o arch_n of_o the_o meridian_n gh_o whereof_o ge_n and_o eh_n be_v part_n whereof_o it_o be_v compound_v wherefore_o it_o must_v needs_o follow_v that_o those_o part_n add_v together_o make_v the_o whole_a distance_n for_o example_n we_o will_v take_v bellograde_a in_o europe_n and_o the_o cape_n of_o good_a hope_n in_o africa_n which_o have_v near_o the_o same_o longitude_n to_o wit_n 48_o degree_n 30_o minute_n but_o they_o differ_v in_o latitude_n in_o such_o sort_n as_o the_o former_a have_v of_o the_o northern_a latitude_n 44_o degree_n 30_o minute_n the_o 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declare_v two_o way_n of_o invention_n 11_o the_o first_o be_v by_o a_o rectangle_n triangle_n bare_o consider_v by_o itself_o according_a to_o this_o theorem_a 1_o the_o square_a root_n of_o the_o number_n make_v of_o the_o difference_n of_o longitude_n and_o latitude_n of_o two_o place_n distant_a will_v show_v the_o distance_n of_o those_o place_n the_o ground_n of_o this_o proposition_n be_v take_v from_o the_o 27_o proposition_n of_o the_o first_o book_n of_o euclid_n where_o it_o be_v demonstrate_v that_o the_o square_a of_o the_o hypotenusa_fw-la or_o great_a side_n of_o a_o rectangle_n triangle_n be_v equal_a to_o the_o two_o square_n make_v of_o the_o two_o other_o side_n which_o be_v well_o understand_v will_v lend_v a_o easy_a light_n to_o this_o proposition_n to_o perform_v which_o we_o must_v first_o take_v the_o difference_n of_o longitude_n which_o be_v imagine_v to_o make_v one_o side_n of_o this_o triangle_n then_o we_o must_v observe_v also_o the_o difference_n of_o 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