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stadium_n strabo_n strabo_n as_o strabo_n have_v deliver_v whereby_o arise_v a_o great_a doubt_n concern_v the_o cause_n of_o this_o difference_n between_o cleomedes_n and_o strabo_n his_o allowance_n see_v this_o of_o strabo_n be_v the_o true_a although_o utter_v in_o a_o few_o word_n but_o cleomedes_n his_o assignation_n of_o the_o same_o be_v far_o from_o truth_n although_o he_o read_v and_o expound_v posidonius_n his_o geodesie_n to_o many_o concern_v his_o size_n or_o manner_n we_o will_v speak_v hereafter_o but_o the_o dimension_n of_o eratosthenes_n be_v use_v as_o yet_o of_o many_o even_o to_o ptolomy_n time_n the_o year_n 144_o after_o christ_n who_o use_v a_o perimeter_n of_o 180000_o stadium_n and_o affirm_v it_o to_o be_v more_o agreeable_a to_o truth_n insomuch_o that_o this_o very_a invention_n be_v by_o theon_n ascribe_v to_o he_o theon_n theon_n it_o be_v gather_v that_o marinus_n a_o famous_a geographer_n marinus_n marinus_n and_o by_o who_o write_n ptolemy_n be_v 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the_o arabian_n or_o the_o calife_n of_o babylon_n be_v studious_a in_o the_o mathematics_n forasmuch_o as_o he_o
of_o mars_n jupiter_n saturn_n and_o the_o fix_a star_n be_v altogether_o uncertain_a by_o reason_n of_o the_o defect_n of_o the_o parallaxy_n or_o mutual_a change_n in_o the_o copernican_n hypothesis_n the_o distance_n be_v vary_v not_o only_o from_o the_o motion_n of_o the_o planet_n but_o also_o from_o the_o motion_n of_o the_o earth_n itself_o the_o reason_n of_o either_o opinion_n to_o wit_n of_o the_o ptolomean_a and_o copernican_n concern_v the_o place_n of_o the_o earth_n be_v almost_o the_o same_o with_o they_o which_o in_o the_o precedent_a chapter_n we_o have_v allege_v for_o this_o disputation_n have_v great_a affinity_n with_o the_o same_o for_o if_o you_o ascribe_v and_o allow_v the_o second_o motion_n to_o the_o sun_n which_o be_v call_v the_o proper_a motion_n not_o the_o sun_n but_o the_o earth_n shall_v be_v in_o the_o midst_n but_o if_o you_o allow_v that_o second_o motion_n to_o the_o earth_n not_o the_o earth_n but_o the_o sun_n shall_v be_v in_o the_o middle_n these_o argument_n follow_v may_v be_v say_v for_o the_o copernican_n opinion_n universe_n the_o sun_n not_o only_o the_o fountain_n of_o light_n but_o also_o the_o vital_a spirit_n of_o the_o whole_a universe_n 1._o the_o sun_n be_v not_o only_o the_o fountain_n of_o light_n which_o as_o a_o most_o clear_a shine_a torch_n illuminate_v the_o earth_n moon_n venus_n and_o without_o doubt_v the_o rest_n of_o the_o planet_n but_o he_o be_v the_o firehearth_n of_o heat_n and_o vital_a spirit_n by_o which_o this_o whole_a universe_n seem_v to_o be_v cherish_v and_o sustain_v therefore_o it_o be_v probable_a that_o he_o hold_v the_o middle_a place_n and_o that_o these_o be_v move_v round_o about_o he_o 2._o it_o be_v more_o likely_a that_o the_o earth_n shall_v be_v move_v about_o the_o sun_n that_o together_o with_o the_o rest_n of_o the_o planet_n she_o may_v receive_v light_a and_o heat_n from_o he_o etc._n the_o sun_n a_o vast_a body_n etc._n etc._n 3._o the_o sun_n be_v place_v in_o the_o midst_n some_o cause_n be_v render_v why_o the_o rest_n of_o the_o planet_n and_o the_o earth_n may_v be_v carry_v round_o about_o he_o to_o wit_n because_o the_o sun_n be_v a_o most_o vast_a body_n and_o endow_v with_o great_a virtue_n and_o force_n therefore_o he_o roll_v and_o stir_v up_o the_o rest_n of_o the_o planet_n to_o their_o motion_n and_o this_o reason_n especial_o take_v place_n if_o we_o admit_v kepler_n hypothesis_n concern_v the_o motion_n of_o the_o planet_n sun_n spot_n in_o the_o sun_n 4._o the_o observation_n of_o galilaeus_fw-la and_o scheiner_n concern_v the_o spot_n in_o the_o sun_n prove_v that_o the_o sun_n be_v move_v about_o his_o axil_n in_o the_o same_o manner_n therefore_o the_o rest_n of_o the_o planet_n have_v their_o cause_n of_o go_v about_o neither_o seem_v it_o consistent_a with_o reason_n that_o any_o other_o shall_v be_v attribute_v to_o he_o 5._o if_o we_o allow_v the_o earth_n a_o place_n between_o mars_n and_o venus_n and_o allow_v the_o centre_n to_o the_o sun_n the_o motion_n of_o every_o planet_n fitting_o answer_v and_o agree_v to_o the_o distance_n from_o the_o centre_n which_o in_o the_o ptolomaick_a supposition_n be_v manifest_v not_o to_o be_v effect_v by_o the_o consideration_n of_o the_o motion_n of_o the_o sun_n venus_n and_o mercury_n 6._o those_o celestial_a appearance_n which_o we_o have_v use_v in_o the_o former_a chapter_n for_o the_o prove_v the_o second_o motion_n of_o the_o earth_n be_v also_o valid_a and_o efficacious_a for_o this_o place_n which_o i_o have_v say_v must_v be_v assign_v to_o the_o earth_n to_o wit_n the_o retrograde_a course_n and_o station_n of_o the_o planet_n and_o the_o admirable_a apparent_a motion_n of_o venus_n and_o mercury_n etc._n etc._n for_o indeed_o that_o second_o motion_n of_o the_o earth_n do_v before_o hand_n suppose_v this_o place_n and_o place_v of_o the_o earth_n or_o have_v it_o join_v to_o itself_o very_o near_o but_o this_o argument_n in_o my_o opinion_n be_v the_o chief_a yet_o for_o the_o first_o motion_n of_o the_o earth_n nothing_o can_v be_v fetch_v by_o way_n of_o argument_n for_o gather_v thence_o the_o situation_n of_o the_o earth_n for_o the_o earth_n may_v be_v in_o the_o centre_n of_o the_o world_n if_o she_o be_v without_o or_o want_v the_o second_o motion_n as_o origanus_n also_o determine_v 7._o so_o also_o the_o variation_n of_o the_o distance_n of_o the_o planet_n from_o the_o earth_n be_v well_o declare_v earth_n the_o aristotelian_o and_o platonist_n argument_n about_o the_o earth_n yet_o notwithstanding_o the_o aristotelian_o and_o platonist_n oppugn_v the_o pythagorean_n opinion_n with_o many_o argument_n and_o endeavour_v to_o challenge_v the_o centre_n of_o the_o earth_n for_o a_o place_n by_o these_o argument_n first_o heavy_a thing_n be_v carry_v to_o the_o centre_n of_o the_o world_n but_o the_o earth_n be_v the_o heavy_a body_n therefore_o it_o take_v up_o that_o centre_n second_o heavy_a thing_n will_v go_v from_o the_o earth_n towards_o the_o centre_n of_o the_o universe_n unless_o this_o centre_n be_v in_o the_o earth_n three_o the_o centre_n be_v the_o ignobl_a place_n and_o the_o earth_n also_o be_v the_o vile_a part_n of_o this_o universe_n therefore_o it_o shall_v have_v the_o centre_n thereof_o four_o if_o the_o earth_n be_v without_o the_o centre_n of_o the_o world_n and_o motion_n of_o the_o star_n than_o the_o star_n and_o constellation_n will_v be_v see_v in_o some_o season_n of_o the_o year_n and_o some_o day_n big_a than_o in_o other_o five_o neither_o will_v the_o middle_a part_n of_o heaven_n always_o be_v conspicuous_a as_o taurus_n rise_v the_o scorpion_n shall_v set_v etc._n etc._n six_o neither_o will_v there_o be_v equinox_n seven_o neither_o the_o moon_n rise_v eclipse_v will_v the_o sun_n set_v etc._n etc._n eight_o neither_o will_v the_o number_n of_o miles_n in_o the_o earth_n equal_o answer_v every_o degree_n in_o heaven_n copernican_n the_o aforesaid_a reason_n of_o the_o aristotelian_o refute_v by_o the_o copernican_n the_o copernican_n do_v easy_o weaken_v these_o reason_n of_o the_o aristotelian_o for_o the_o first_o and_o second_o be_v refel_v because_o the_o motion_n of_o heavy_a thing_n be_v not_o to_o the_o centre_n of_o the_o universe_n but_o to_o the_o homogeneal_a body_n as_o be_v prove_v by_o the_o part_n of_o the_o moon_n the_o sun_n and_o loadstone_n the_o three_o reason_n take_v a_o false_a major_a and_o minor_a proposition_n for_o the_o centre_n be_v also_o a_o noble_a place_n and_o the_o earth_n be_v not_o ignoble_a or_o base_a the_o other_o reason_n be_v easy_o disprove_v by_o diagram_n or_o description_n this_o at_o least_o be_v fore-supposed_n that_o the_o distance_n of_o the_o earth_n from_o the_o sun_n or_o centre_n how_o great_a soever_o it_o be_v yet_o if_o it_o be_v compare_v with_o the_o distance_n of_o the_o fix_a star_n from_o the_o sun_n it_o will_v be_v so_o little_a as_o that_o it_o will_v have_v no_o proportion_n to_o it_o saturn_n the_o distance_n of_o the_o moon_n venus_n and_o mercury_n from_o the_o earth_n not_o so_o great_a as_o of_o mars_n jupiter_n and_o saturn_n moreover_o the_o explication_n of_o the_o theorem_fw-la belong_v to_o this_o place_n that_o the_o distance_n of_o the_o fix_a star_n and_o superior_a planet_n mars_n jupiter_n and_o saturn_n be_v so_o great_a from_o the_o earth_n that_o the_o half_a diameter_n of_o the_o earth_n have_v no_o proportion_n to_o it_o but_o the_o distance_n of_o the_o moon_n venus_n and_o mercury_n be_v not_o so_o great_a touch_v the_o sun_n there_o be_v as_o yet_o a_o doubt_n sure_o if_o there_o be_v any_o proportion_n of_o the_o half_a diameter_n of_o the_o earth_n to_o the_o distance_n of_o the_o earth_n from_o the_o sun_n that_o will_v be_v very_o small_a but_o the_o theorem_n be_v prove_v thus_o first_o the_o fix_a star_n and_o high_a planet_n appear_v to_o we_o to_o rise_v at_o the_o same_o moment_n at_o which_o they_o will_v appear_v to_o rise_v by_o a_o right_n contrive_v supputation_n and_o calculation_n if_o we_o be_v set_v in_o the_o centre_n of_o the_o earth_n therefore_o the_o distance_n of_o our_o place_n from_o the_o centre_n of_o the_o earth_n that_o be_v the_o half_a diameter_n bear_v no_o proportion_n to_o the_o distance_n of_o the_o fix_a star_n second_o if_o we_o take_v the_o meridian_n or_o altitude_n of_o a_o fix_a star_n or_o one_o of_o the_o superior_a planet_n with_o a_o astronomical_a instrument_n we_o find_v the_o same_o as_o if_o we_o have_v observe_v it_o in_o the_o centre_n of_o the_o earth_n therefore_o the_o semidiameter_n of_o the_o earth_n vanish_v away_o in_o respect_n of_o that_o distance_n three_o if_o there_o be_v any_o proportion_n than_o the_o distance_n of_o two_o star_n will_v be_v find_v to_o be_v lesser_a about_o the_o horizon_n than_o
fruitful_a by_o its_o fat_a water_n proposition_n xxi_o to_o explain_v how_o spring_n or_o fountain_n break_v forth_o fountain_n of_o the_o break_n forth_o of_o spring_n and_o fountain_n in_o the_o four_o proposition_n we_o have_v show_v whence_o the_o water_n arise_v that_o flow_v from_o fountain_n now_o here_o we_o demand_v by_o what_o force_n that_o water_n collect_v in_o the_o earth_n be_v thrust_v forth_o see_v that_o it_o seem_v not_o possible_a to_o be_v do_v without_o a_o violent_a remove_n of_o the_o earth_n but_o the_o cause_n be_v various_a which_o make_v way_n for_o a_o spring_n in_o any_o place_n 1._o if_o that_o in_o any_o place_n there_o be_v a_o certain_a cavity_n the_o water_n distil_v into_o that_o without_o the_o help_n of_o any_o other_o cause_n when_o that_o by_o creep_v it_o come_v into_o it_o and_o then_o in_o course_n of_o time_n make_v great_a passage_n for_o itself_o until_o that_o cavity_n be_v fill_v it_o flow_v out_o and_o make_v a_o river_n the_o same_o also_o happen_v without_o a_o cavity_n if_o that_o the_o spring_n be_v on_o the_o top_n of_o a_o mountain_n also_o for_o this_o reason_n frequent_a spring_n be_v find_v in_o wood_n and_o shady_a place_n for_o the_o rain-water_n moisten_v the_o earth_n and_o because_o it_o be_v not_o extract_v by_o the_o heat_n of_o the_o sun_n and_o a_o open_a and_o free_a air_n by_o degree_n it_o allure_v to_o itself_o the_o hide_a water_n of_o a_o future_a fountain_n 2._o a_o way_n be_v prepare_v and_o the_o earth_n remove_v by_o the_o spirit_n which_o be_v admix_v with_o the_o water_n yet_o in_o the_o earth_n also_o the_o rarefaction_n of_o water_n in_o the_o earth_n by_o which_o it_o require_v the_o large_a place_n for_o the_o water_n whilst_o that_o yet_o they_o be_v hide_v within_o the_o earth_n carry_v many_o spirit_n also_o subterranean_a fire_n add_v not_o a_o little_a to_o this_o 3._o oftentimes_o fountain_n be_v bring_v to_o light_n by_o shower_n for_o shower_n do_v render_v the_o pore_n of_o the_o earth_n more_o ample_a and_o large_a when_o that_o they_o conjoin_v with_o the_o water_n of_o the_o hide_a fountain_n and_o so_o this_o follow_v that_o by_o reason_n of_o the_o mutual_a conjunction_n and_o coherency_n 4._o sometime_o spring_n be_v open_v by_o a_o earthquake_n so_o a_o earthquake_n send_v forth_o the_o river_n ladon_n 5._o sometime_o they_o be_v discover_v by_o the_o industry_n of_o man_n by_o dig_v the_o earth_n 6._o many_o fountain_n have_v be_v discover_v by_o animal_n which_o be_v wont_a to_o dig_v up_o the_o earth_n with_o their_o snout_n so_o a_o hog_n first_o discover_v the_o first_o salt_n spring_n in_o lunenburgh_n for_o when_o he_o have_v root_v up_o the_o earth_n and_o make_v a_o gutter_n the_o water_n spout_v out_o which_o fill_v the_o gutter_n the_o hog_n according_a to_o their_o custom_n lay_v down_o in_o it_o then_o when_o he_o arise_v and_o that_o his_o back_n be_v dry_a some_o discover_v a_o very_a white_a colour_n on_o he_o which_o when_o they_o have_v more_o accurate_o contemplate_v they_o find_v it_o to_o be_v white_a salt_n then_o they_o go_v to_o the_o spring_n and_o from_o thence_o forward_o many_o more_o be_v seek_v and_o find_v out_o from_o which_o the_o city_n obtain_v almost_o â—ll_o its_o riches_n and_o splendour_n and_o in_o memorial_n thereof_o the_o hog_n be_v quarter_v and_o smoak-dried_n and_o be_v keep_v at_o this_o very_a day_n in_o the_o palace_n of_o lunenburgh_n to_o be_v see_v proposition_n xxii_o a_o place_n be_v give_v in_o the_o earth_n to_o inquire_v whether_o a_o spring_n or_o well_o may_v be_v make_v in_o it_o see_v vitruvius_n in_o the_o eight_o book_n of_o his_o architecture_n 1._o see_v vitruvius_n lib._n 8._o cap._n 1._o chap._n 1._o at_o this_o day_n we_o perform_v the_o same_o by_o dig_v up_o the_o earth_n oftentimes_o to_o a_o great_a depth_n and_o for_o the_o most_o part_n vein_n or_o head_n of_o spring_n or_o well_n or_o the_o well_n and_o spring_n themselves_o be_v find_v proposition_n xxiii_o a_o place_n be_v give_v to_o make_v a_o spring_n or_o well_o in_o it_o if_o that_o it_o be_v possible_a to_o be_v make_v we_o will_v allege_v the_o word_n of_o vitruvius_n as_o be_v a_o man_n excellent_o skill_v in_o these_o affair_n 7._o see_v vitruvius_n cap._n 7._o see_v that_o we_o never_o use_v ourselves_o to_o this_o kind_n of_o exercise_n in_o his_o seven_o chapter_n thus_o he_o speak_v reason_n must_v not_o be_v contemn_v in_o dig_v of_o well_n but_o the_o natural_a reason_n of_o thing_n be_v to_o be_v consider_v with_o sharpness_n of_o wit_n and_o great_a prudence_n by_o reason_n that_o the_o earth_n have_v many_o and_o various_a thing_n within_o it_o for_o it_o be_v compound_v as_o other_o thing_n of_o four_o principle_n and_o the_o first_o be_v terrene_a and_o have_v from_o the_o humidity_n of_o the_o water_n fountain_n also_o heat_n whence_o proceed_v sulphur_n alom_n bitumen_n and_o gross_a spirit_n of_o air_n which_o be_v thick_a when_o by_o the_o fistulous_a intervening_n of_o the_o earth_n they_o come_v to_o the_o place_n where_o the_o well_o be_v dug_n and_o find_v man_n dig_v by_o their_o natural_a vapour_n they_o stop_v up_o the_o animal_n spirit_n of_o those_o that_o work_n at_o their_o nostril_n so_o that_o those_o that_o fly_v not_o quick_o away_o be_v there_o choke_v now_o to_o avoid_v this_o we_o must_v thus_o act_v let_v a_o candle_n be_v light_v and_o let_v down_o and_o if_o that_o it_o continue_v burn_v you_o may_v descend_v without_o danger_n but_o if_o that_o the_o light_n be_v extinguish_v by_o the_o force_n of_o the_o vapour_n then_o let_v aestuary_n be_v dug_n on_o the_o right_n and_o left_a hand_n near_o the_o wâ—ll_n so_o as_o by_o the_o nostril_n the_o spirit_n will_v be_v dissipate_v when_o those_o be_v so_o explicate_v and_o that_o you_o be_v come_v to_o the_o water_n let_v the_o structure_n be_v so_o sence_v that_o the_o vein_n be_v not_o stop_v but_o if_o that_o the_o place_n shall_v prove_v hard_a or_o that_o the_o vein_n shall_v not_o be_v altogether_o at_o the_o bottom_n than_o assistance_n must_v be_v take_v from_o the_o cover_n of_o plaster-work_n now_o this_o must_v be_v observe_v in_o plaster-work_n that_o the_o rough_a and_o pure_a sand_n be_v get_v that_o the_o cement_n be_v break_v with_o a_o flint_n that_o the_o most_o vehement_a chalk_n be_v mix_v with_o the_o mortar_n so_o that_o five_o part_n of_o sand_n answer_v to_o two_o of_o chalk_n or_o lime_n let_v the_o cement_n be_v add_v to_o the_o mortar_n of_o it_o let_v the_o wall_n in_o the_o depress_a trench_n unto_o the_o measure_n of_o the_o future_a altitude_n be_v spage_v the_o bar_n be_v make_v of_o iron_n the_o wall_n be_v plaster_v let_v that_o which_o be_v earthy_a in_o the_o midst_n be_v evacuate_v to_o the_o low_a measure_n or_o libration_n of_o the_o wall_n and_o the_o bottom_n be_v level_v let_v the_o pavement_n be_v plaster_v with_o the_o same_o mortar_n unto_o the_o thickness_n that_o be_v appoint_v now_o these_o place_n if_o they_o shall_v be_v make_v double_a or_o treble_a that_o they_o may_v be_v transmutate_v by_o the_o percolation_n of_o the_o water_n will_v make_v the_o use_n of_o it_o far_o more_o wholesome_a for_o the_o mud_n when_o that_o it_o have_v find_v a_o place_n to_o sink_v in_o the_o water_n become_v more_o clear_a and_o will_v keep_v its_o taste_n without_o any_o scent_n if_o not_o you_o must_v of_o necessity_n add_v salt_n and_o extenuate_v it_o proposition_n xxiv_o to_o prove_v whether_o the_o water_n of_o a_o spring_n be_v wholesome_a not_o of_o spring-water_n whether_o it_o be_v wholesome_a or_o not_o concern_v this_o vitruvius_n thus_o write_v their_o probation_n must_v be_v thus_o look_v after_o if_o that_o they_o flow_v and_o be_v open_a before_o that_o they_o begin_v to_o be_v draw_v look_v on_o they_o and_o observe_v of_o what_o membrature_n they_o be_v what_o inhabitant_n dwell_v about_o those_o fountain_n whether_o they_o be_v of_o strong_a body_n of_o good_a colour_n not_o lame_a blear_a or_o sore-eyed_n if_o so_o the_o water_n be_v very_o excellent_a also_o if_o that_o a_o new_a spring_n be_v dug_n and_o the_o water_n be_v put_v into_o a_o corinthian_a vessel_n or_o any_o other_o kind_n make_v of_o brass_n and_o if_o it_o cause_v no_o stain_n it_o be_v then_o most_o excellent_a water_n also_o if_o that_o that_o water_n be_v heat_v and_o afterward_o settle_v and_o pour_v forth_o and_o that_o no_o sand_n or_o mud_n be_v find_v in_o the_o bottom_n that_o water_n be_v also_o very_o good_a also_o if_o that_o root_n put_v in_o that_o water_n be_v quick_o boil_v they_o show_v the_o water_n to_o be_v good_a and_o wholesome_a also_o that_o the_o water_n in_o the_o fountain_n be_v clear_a
sign_n which_o shall_v be_v that_o of_o the_o angle_n m_o r_o t_o from_o which_o if_o that_o you_o take_v away_o t_o r_o f_o the_o refraction_n m_o r_o l_o demand_v be_v leave_v the_o ancient_a optic_n use_v another_o far_o more_o intricate_a but_o yet_o a_o more_o false_a method_n proposition_n xxxiv_o the_o altitude_n and_o rule_n of_o refraction_n of_o the_o air_n be_v give_v to_o find_v the_o refraction_n at_o the_o give_v apparent_a altitude_n of_o the_o star_n and_o thence_o the_o true_a altitude_n refraction_n of_o refraction_n this_o be_v the_o same_o with_o the_o former_a because_o in_o the_o former_a from_o the_o give_v refraction_n at_o the_o give_v altitude_n that_o rule_n of_o refraction_n be_v to_o be_v find_v example_n for_o exercise_n may_v be_v take_v from_o the_o table_n lay_v down_o before_o of_o the_o reflection_n of_o light_n in_o the_o air._n proposition_n xxxv_o the_o ray_n of_o the_o sun_n and_o moon_n have_v enter_v the_o air_n or_o atmosphere_n be_v not_o only_o refract_v but_o be_v also_o reflect_v or_o repercuss_v from_o the_o particle_n of_o the_o air_n as_o from_o a_o rough_a looking-glass_n by_o reason_n of_o the_o inordinate_a situation_n of_o the_o particle_n sun_n of_o the_o ray_n of_o the_o sun_n for_o except_v the_o ray_n of_o the_o sun_n be_v reflect_v from_o the_o particle_n to_o our_o eye_n no_o part_n of_o the_o air_n will_v appear_v lucid_a unto_o we_o except_o that_o above_o which_o the_o sun_n be_v and_o so_o the_o sun_n be_v in_o the_o oriental_a part_n neither_o the_o meridian_n or_o occidental_a air_n will_v be_v lucid_a therefore_o some_o ray_n be_v refract_v pass_v through_o by_o the_o atmosphere_n some_o be_v refract_v here_o and_o there_o with_o many_o reflection_n from_o one_o particle_n unto_o another_o and_o so_o they_o make_v the_o air_n luminous_a or_o light_a proposition_n xxxvi_o the_o reflection_n of_o the_o ray_n of_o the_o sun_n from_o the_o particle_n of_o the_o air_n be_v the_o chief_a cause_n of_o the_o twilight_n that_o be_v of_o the_o light_n before_o the_o rise_n and_o after_o the_o set_n of_o the_o sun_n air._n chief_a cause_n of_o twilight_n be_v the_o reflection_n of_o the_o ray_n of_o the_o sun_n from_o the_o particle_n of_o the_o air._n it_o be_v manifest_a from_o the_o precedent_a proposition_n for_o as_o the_o sun_n be_v in_o the_o east_n his_o ray_n be_v ejaculate_v to_o the_o west_n do_v reflect_v to_o our_o eye_n and_o so_o make_v the_o occidental_a part_n conspicuous_a so_o the_o sun_n be_v beneath_o the_o horizon_n his_o ray_n send_v forth_o into_o our_o air_n be_v reflect_v to_o our_o eye_n and_o to_o the_o occident_n and_o from_o the_o occident_n to_o our_o eye_n proposition_n xxxvii_o the_o beginning_n of_o the_o situation_n of_o the_o morning_n twilight_n that_o be_v the_o oriental_a air_n be_v illuminate_v and_o be_v so_o behold_v the_o sun_n be_v depress_v about_o 18_o degree_n beneath_o the_o horizon_n and_o the_o end_n of_o the_o evening_n twilight_n that_o be_v no_o more_o illumination_n appear_v in_o the_o occidental_a air_n be_v when_o the_o sun_n be_v depress_v 18_o degree_n beneath_o the_o occidental_a horizon_n twilight_n of_o the_o morning_n twilight_n this_o proposition_n depend_v on_o experience_n and_o observation_n for_o if_o in_o the_o morning_n season_n that_o be_v after_o the_o first_o and_o second_o hour_n after_o midnight_n we_o diligent_o observe_v our_o eye_n be_v turn_v towards_o the_o east_n when_o that_o any_o bright_a colour_n show_v itself_o in_o the_o oriental_a air_n about_o the_o horizon_n and_o that_o we_o know_v at_o that_o time_n the_o hour_n and_o minute_n of_o the_o hour_n we_o may_v thence_o know_v the_o depression_n of_o the_o sun_n beneath_o the_o horizon_n now_o we_o understand_v a_o serene_a air_n of_o which_o see_v that_o there_o be_v or_o may_v be_v a_o great_a difference_n thence_o it_o come_v to_o pass_v that_o some_o do_v extend_v the_o twilight_n to_o the_o twenty_o degree_n of_o the_o depression_n of_o the_o sun_n beneath_o the_o horizon_n other_o unto_o the_o sixteenth_o for_o by_o how_o much_o the_o air_n be_v more_o thick_a by_o so_o much_o the_o less_o will_v the_o light_n of_o the_o twilight_n be_v discover_v contrary_a unto_o what_o we_o say_v may_v happen_v in_o refraction_n proposition_n xxxviii_o the_o altitude_n of_o the_o air_n or_o matter_n may_v be_v find_v from_o the_o quantity_n of_o the_o twilight_n which_o by_o reflection_n creat_v the_o light_n of_o the_o twilight_n as_o hitherto_o they_o have_v think_v neither_o do_v the_o beginning_n of_o the_o twilight_n arise_v from_o a_o simple_a but_o at_o least_o from_o a_o double_a reflection_n scheme_n see_v scheme_n let_v t_o l_o h_o be_v the_o earth_n g_o f_o o_o m_o the_o bound_n of_o the_o air_n l_o the_o place_n of_o the_o earth_n in_o which_o the_o twilight_n appear_v or_o the_o light_n in_o the_o horizontal_n air_n f_o the_o incident_a solary_a ray_n f_o g_o s._n therefore_o mathematician_n that_o have_v hitherto_o write_v concern_v twilight_n say_v that_o the_o ray_n incident_a on_o f_z which_o make_v the_o reflection_n f_o l_o to_z come_v from_o the_o very_a sun_n s_n and_o because_o that_o no_o ray_n can_v come_v from_o the_o sun_n to_o f_o so_o long_o as_o the_o sun_n be_v beneath_o the_o tangent_fw-la f_o h_o s_o for_o example_n in_o s_n than_o its_o ray_n may_v come_v to_o f_o first_fw-mi or_o because_o that_o they_o will_v have_v reflection_n to_o be_v make_v from_o f_o as_o from_o a_o hollow_a looking-glass_n therefore_o t_n f_z h_z oughts_z to_o be_v equal_a to_o the_o angle_n t_o f_o l_o wherefore_o because_o that_o the_o sun_n be_v find_v depress_v 18_o degree_n beneath_o the_o horizon_n therefore_o the_o angle_n n_z f_z s_z shall_v be_v find_v 18_o degree_n and_o l_o f_o h_o 162_o and_o t_o f_o h_o or_o t_o f_o l_o 81_o degree_n and_o l_o t_o f_o 9_o deg_fw-la whence_o t_n f_z be_v find_v about_o 874_o german_a mile_n and_o the_o altitude_n of_o the_o air_n 11_o mile_n as_o clavius_n and_o nonius_n make_v it_o alhacen_n and_o vitellio_n make_v it_o 13_o mile_n this_o so_o great_a a_o altitude_n of_o the_o air_n must_v in_o no_o sort_n be_v grant_v when_o that_o other_o phaenomenon_n do_v repugn_v now_o that_o it_o be_v find_v so_o great_a according_a to_o that_o method_n that_o happen_v from_o a_o false_a hypothesis_n that_o they_o assume_v viz._n the_o ray_n g_o h_o f_o which_o make_v the_o reflect_v f_o l_o to_o come_z from_o the_o very_a sun_n for_o this_o be_v false_a because_o that_o it_o come_v by_o reflection_n from_o another_o ray_n for_o example_n g_o l._n now_o that_o to_o make_v the_o small_a light_n in_o f_o it_o be_v not_o necessary_a that_o the_o ray_n f_o g_o shall_v come_v from_o the_o uâ—ry_a sun_n but_o another_o reflect_a ray_n may_v do_v the_o same_o be_v prove_v from_o thence_o that_o in_o the_o occidental_a air_n we_o behold_v the_o light_n before_o the_o rise_n of_o the_o sun_n when_o yet_o it_o be_v certain_a that_o no_o direct_a ray_n then_o come_v from_o the_o sun_n s_o to_o the_o occidental_a air_n m_o but_o from_o another_o point_n of_o the_o air_n for_o example_n from_o f_z and_z o_o and_o so_o the_o reflect_a ray_n l_o m_o proceed_v from_o the_o incident_a ray_n f_o m_o which_o very_o f_z m_z be_v reflect_v from_o the_o incident_a g_o f_o and_o this_o g_o f_o from_o another_o g_o l_o which_o perchance_o also_o come_v from_o another_o second_o that_o also_o be_v worthy_a of_o note_n that_o they_o have_v determine_v that_o reflection_n be_v cause_v from_o the_o air_n as_o from_o a_o hollow_a looking-glass_n the_o centre_n of_o who_o cavity_n be_v t_o viz._n the_o same_o with_o that_o of_o the_o earth_n for_o this_o also_o be_v false_a for_o the_o ray_n be_v reflect_v from_o the_o particle_n of_o the_o air_n no_o regard_n be_v have_v to_o the_o centre_n of_o the_o earth_n but_o according_a to_o the_o superficies_n of_o those_o particle_n this_o be_v manifest_a from_o the_o ray_n l_o m_o which_o slide_v from_o the_o occidental_a air_n m_o to_z t_o for_o if_o that_o it_o come_v from_o m_n as_o from_o the_o hollow-glass_n of_o the_o centre_n t_o its_o incident_a aught_o to_o come_v from_o the_o quarter_n x_o but_o now_o it_o come_v from_o o_o or_o between_z f_z and_z o_o therefore_o the_o ray_n l_o m_o be_v so_o reflect_v from_o the_o particle_n m_o as_o the_o figure_n of_o it_o require_v and_o there_o be_v in_o the_o air_n particle_n of_o a_o most_o different_a figure_n and_o therefore_o it_o be_v no_o wonder_n if_o that_o divers_a reflection_n be_v here_o and_o there_o cause_v into_o all_o quarter_n proposition_n thirty-nine_o it_o be_v suppose_v that_o the_o light_n of_o the_o twilight_n be_v not_o generate_v by_o a_o
great_a concernment_n yet_o it_o be_v better_a to_o begin_v from_o the_o aequator_fw-la that_o all_o the_o place_n may_v lie_v in_o some_o climate_n proposition_n xv._o to_o show_v the_o use_n of_o the_o table_n of_o the_o climate_n 1._o the_o latitude_n of_o some_o place_n or_o elevation_n of_o the_o pole_n be_v give_v to_o know_v the_o quantity_n of_o the_o long_a day_n in_o that_o place_n and_o the_o climate_n in_o which_o it_o lie_v let_v the_o give_v elevation_n of_o the_o pole_n be_v seek_v in_o the_o table_n and_o on_o the_o opposite_a region_n we_o shall_v find_v both_o the_o quantity_n of_o the_o long_a day_n as_o also_o the_o climate_n and_o the_o parallel_n if_o that_o the_o give_v elevation_n can_v be_v find_v in_o the_o table_n then_o take_v that_o elevation_n which_o be_v less_o near_o or_o the_o like_a which_o be_v find_v in_o the_o table_n climate_n from_o the_o longitude_n of_o the_o long_a day_n of_o any_o place_n to_o know_v the_o latude_n of_o the_o place_n and_o the_o parallel_n and_o climate_n 2._o the_o longitude_n of_o the_o long_a day_n of_o any_o place_n be_v give_v which_o any_o person_n have_v observe_v or_o receive_v by_o relation_n to_o know_v from_o thence_o the_o latitude_n of_o that_o place_n the_o parallel_n and_o the_o climate_n in_o which_o that_o place_n lie_v enter_v the_o table_n with_o the_o latitude_n give_v and_o you_o shall_v see_v on_o the_o opposite_a region_n both_o the_o latitude_n and_o the_o place_n demand_v as_o also_o the_o climate_n and_o parallel_n 3._o a_o climate_n be_v give_v to_o determine_v the_o longitude_n of_o the_o long_a day_n and_o the_o elevation_n of_o the_o pole_n this_o be_v facile_a from_o the_o very_a sight_n of_o the_o table_n chap._n xxvi_o of_o the_o light_n heatt_z cold_a rains_n in_o the_o diverse_a part_n of_o the_o earth_n or_o zone_n and_o other_o property_n of_o the_o zone_n proposition_n i._o these_o cause_n be_v efficacious_a to_o generate_v and_o procure_v light_a heatt_z cold_a and_o rain_n with_o other_o meteor_n in_o the_o place_n of_o the_o earth_n and_o the_o vicine_fw-la air._n heat_n of_o the_o cause_n of_o heat_n 1._o the_o more_o or_o less_o or_o no_o obliquity_n of_o the_o ray_n of_o the_o sun_n come_v to_o or_o emit_v on_o any_o place_n for_o the_o ray_n fall_v perpendicular_a on_o any_o place_n cause_n great_a heat_n and_o the_o other_o ray_n slide_v oblique_o have_v for_o that_o very_a reason_n a_o less_o power_n of_o heat_n by_o how_o much_o the_o obliquity_n of_o they_o be_v the_o great_a that_o be_v by_o how_o much_o the_o more_o they_o decline_v from_o the_o perpendicular_a ray._n 2._o the_o diurnal_a stay_n of_o the_o sun_n above_o the_o horizon_n of_o the_o place_n for_o the_o same_o heat_n make_v more_o hot_a and_o change_v the_o air_n in_o a_o long_a time_n than_o in_o a_o short_a 3._o the_o depression_n of_o the_o sun_n beneath_o the_o horizon_n be_v more_o or_o less_o in_o the_o night_n season_n for_o this_o difference_n of_o depression_n cause_v that_o either_o more_o or_o less_o light_a be_v perceive_v in_o the_o air_n also_o more_o or_o less_o heat_n rain_n thick_a cloud_n hitherto_o belong_v the_o twilight_n 4._o the_o more_o or_o less_o elevation_n of_o the_o moon_n above_o the_o horizon_n the_o more_o or_o less_o depression_n of_o the_o same_o beneath_o the_o horizon_n the_o more_o or_o less_o diurnal_a stay_n of_o the_o same_o above_o the_o horizon_n the_o cause_n be_v the_o same_o with_o those_o allege_v in_o the_o three_o forego_v paragraph_n air._n the_o planet_n and_o fix_a star_n raise_v vapour_n etc._n etc._n in_o the_o air._n 5._o the_o same_o may_v be_v say_v of_o fix_a star_n especial_o of_o those_o more_o note_a one_o and_o of_o the_o five_o other_o planet_n saturn_n jupiter_n mars_n venus_n and_o mercury_n for_o they_o generate_v some_o light_n and_o heat_n in_o the_o air_n although_o it_o be_v but_o little_a and_o change_v the_o air_n divers_a way_n and_o raise_v vapour_n if_o that_o we_o may_v credit_v astronomer_n 6._o the_o propriety_n or_o species_n of_o the_o earth_n of_o every_o place_n for_o where_o the_o earth_n be_v more_o stony_a and_o rocky_a there_o for_o the_o most_o part_n it_o be_v more_o cold_a than_o where_o it_o be_v sulphureous_a and_o fat_a and_o here_o again_o it_o be_v more_o fertile_a where_o there_o be_v much_o sand_n and_o no_o river_n there_o be_v great_a heat_n lake_n fume_n and_o mist_n proceed_v from_o lake_n 7._o lake_n or_o the_o sea_n adjacent_a from_o thence_o also_o fume_n and_o mist_n be_v raise_v more_o moist_a and_o frequent_a in_o the_o air_n and_o the_o ray_n be_v less_o powerful_o reflect_v from_o the_o sea_n than_o from_o the_o earth_n 8._o the_o situation_n of_o place_n for_o the_o sun_n act_v otherwise_o on_o mountain_n and_o mountainous_a place_n than_o on_o valley_n and_o plain_n moreover_o mountain_n hinder_v the_o free_a access_n of_o the_o ray_n of_o the_o sun_n to_o the_o subject_a place_n for_o to_o they_o the_o vapour_n of_o the_o air_n be_v in_o some_o sort_n attract_v 20._o see_v chap._n 20._o whence_o the_o mountain_n change_v the_o season_n of_o the_o adjacent_a place_n as_o heatt_z rain_n and_o the_o like_a for_o these_o will_v be_v otherwise_o in_o the_o subject_a place_n if_o that_o the_o mountain_n be_v absent_a weather_n the_o wind_n cause_n difference_n in_o the_o weather_n 9_o the_o wind_n especial_o the_o general_a so_o the_o etesian_a wind_n temperate_a and_o allay_v the_o canicular_a heat_n a_o general_a wind_n in_o the_o torrid_a zone_n especial_o the_o subsolan_n wind_n in_o brasilia_n render_v the_o heat_n temperate_a when_o in_o africa_n which_o be_v occidental_a the_o heat_n be_v vehement_a because_o these_o place_n feel_v not_o so_o general_a a_o wind._n the_o northern_a wind_n be_v cold_a and_o dry_a the_o southern_a warm_a and_o moist_a in_o our_o place_n 10._o cloud_n rain_n and_o fog_n take_v away_o and_o diminish_v light_a and_o heat_n i_o suppose_v that_o there_o be_v not_o many_o cause_n of_o this_o variety_n in_o light_n and_o heat_n etc._n etc._n which_o be_v observe_v in_o divers_a place_n of_o the_o earth_n or_o also_o in_o the_o same_o place_n but_o yet_o in_o a_o different_a time_n or_o season_n proposition_n ii_o how_o be_v the_o season_n of_o the_o year_n spring_n summer_n autumn_n and_o winter_n to_o be_v define_v year_n the_o four_o season_n of_o the_o year_n although_o in_o science_n we_o ought_v not_o to_o contend_v and_o dispute_v concern_v definition_n yet_o because_o certain_a homonyme_n or_o likeness_n do_v here_o occur_v without_o the_o explication_n of_o which_o there_o will_v arise_v much_o confusion_n in_o the_o follow_a doctrine_n therefore_o i_o will_v so_o propose_v this_o question_n that_o you_o may_v the_o more_o cautious_o avoid_v this_o homonyme_n that_o they_o may_v not_o be_v deceive_v and_o entangle_v by_o the_o same_o the_o question_n comprehend_v two_o difficulty_n first_o whether_o these_o season_n ought_v to_o be_v define_v from_o the_o entrance_n of_o the_o sun_n and_o his_o stay_n in_o certain_a sing_v of_o the_o ecliptic_a and_o zodiac_n astrologer_n according_a to_o astronomer_n and_o astrologer_n for_o so_o astronomer_n and_o astrologer_n common_o do_v say_v that_o that_o be_v the_o spring_n whilst_o the_o sun_n move_v from_o the_o first_o degree_n of_o aries_n to_o the_o first_o of_o cancer_n that_o be_v summer_n whilst_o the_o sun_n move_v from_o the_o first_o of_o cancer_n to_o the_o first_o of_o libra_n that_o be_v autumn_n whilst_o the_o sun_n move_v from_o the_o first_o of_o libra_n to_o the_o first_o of_o capricorn_n and_o that_o be_v winter_n whilst_o the_o sun_n move_v from_o the_o first_o of_o capricorn_n to_o the_o first_o degree_n of_o aries_n now_o it_o be_v manifest_a that_o these_o definition_n be_v not_o general_a and_o agreeable_a to_o all_o place_n because_o they_o be_v only_o of_o force_n in_o the_o northern_a place_n situate_v from_o the_o aequator_fw-la towards_o the_o pole_n arctic_a and_o not_o in_o the_o southern_a so_o that_o for_o these_o definition_n the_o same_o person_n bring_v definition_n contrary_a to_o the_o former_a say_v that_o in_o these_o place_n the_o spring_n begin_v from_o the_o first_o degree_n of_o libra_n proceed_v unto_o the_o first_o of_o capricorn_n the_o summer_n from_o the_o first_o of_o capricorn_n to_o the_o first_o of_o aries_n the_o autumn_n from_o the_o first_o of_o aries_n to_o the_o first_o of_o cancer_n and_o the_o winter_n from_o the_o first_o of_o cancer_n to_o the_o first_o of_o libra_n but_o from_o thence_o it_o will_v follow_v that_o those_o season_n can_v possible_o be_v define_v which_o be_v false_a and_o general_n ought_v to_o be_v define_v by_o general_n second_o definition_n so_o make_v can_v have_v place_n in_o the_o place_n of_o the_o torrid_a zone_n
distance_n from_o the_o place_n assume_v the_o spring_n when_o he_o go_v from_o a_o point_n of_o moderate_a distance_n towards_o the_o very_a vertex_fw-la of_o the_o pole_n or_o to_o the_o point_n of_o the_o ecliptic_a which_o be_v vertical_a to_o the_o place_n or_o to_o the_o parallel_n of_o the_o place_n the_o summer_n where_o the_o sun_n go_v from_o this_o other_o point_n of_o middle_a distance_n to_o a_o point_n of_o great_a distance_n that_o be_v the_o first_o degree_n of_o capricorn_n or_o cancer_n 2._o in_o the_o place_n of_o the_o aequator_fw-la itself_o the_o sun_n no_o day_n of_o the_o year_n remain_v above_o the_o horizon_n more_o or_o less_o hour_n than_o twelve_o and_o so_o many_o beneath_o the_o horizon_n in_o other_o place_n of_o the_o torrid_a zone_n one_o hour_n or_o a_o hour_n and_o a_o half_a at_o the_o most_o viz._n in_o the_o extreme_a place_n of_o this_o zone_n about_o the_o tropic_n of_o cancer_n and_o capricorn_n when_o the_o day_n be_v at_o the_o long_a the_o sun_n remain_v above_o the_o horizon_n twelve_o hour_n and_o in_o the_o short_a day_n about_o eleven_o hour_n and_o in_o the_o intermedial_a day_n that_o time_n of_o the_o stay_n of_o the_o sum_n above_o and_o beneath_o the_o horizon_n do_v not_o much_o differ_v from_o twelve_o hour_n and_o therefore_o this_o be_v the_o cause_n that_o the_o night_n be_v not_o without_o cold_a and_o the_o heat_n of_o the_o day_n continue_v not_o long_o about_o the_o eveningtide_n 3._o in_o the_o night_n time_n the_o sun_n be_v profound_o depress_v beneath_o the_o horizon_n for_o that_o he_o illustrate_v the_o air_n with_o none_o of_o his_o ray_n nay_o not_o reflex_n this_o be_v the_o cause_n that_o most_o dark_a night_n be_v there_o and_o the_o cold_a of_o the_o night_n be_v augment_v the_o air_n be_v condense_v and_o contract_v itself_o and_o be_v cold_a it_o descend_v towards_o the_o earth_n by_o its_o own_o ponderosity_n moreover_o in_o a_o very_a short_a time_n about_o the_o space_n of_o half_a a_o hour_n before_o the_o rise_n of_o the_o sun_n and_o after_o his_o set_n those_o place_n have_v the_o light_n and_o heat_n of_o the_o twilight_n 4_o the_o moon_n almost_o after_o the_o same_o manner_n as_o the_o sun_n ascend_v direct_o from_o the_o horizon_n towards_o the_o meridian_n of_o those_o place_n yet_o a_o little_a more_o oblique_o because_o it_o depart_v from_o the_o ecliptic_a and_o therefore_o towards_o the_o torrid_a zone_n about_o five_o degree_n and_o it_o remain_v after_o the_o same_o manner_n as_o the_o sun_n a_o little_a above_o twelve_o hour_n above_o the_o horizon_n and_o be_v depress_v beneath_o it_o almost_o so_o many_o hour_n and_o that_o profound_o as_o we_o have_v speak_v of_o the_o sun_n therefore_o with_o her_o direct_a ray_n or_o those_o near_a to_o the_o perpendicular_a she_o will_v augment_v the_o warmness_n of_o the_o night_n especial_o when_o she_o be_v vertical_a to_o any_o place_n and_o diminish_v it_o by_o her_o recess_n but_o by_o reason_n of_o her_o short_a stay_n above_o the_o horizon_n the_o effect_n of_o it_o be_v little_o discern_v in_o any_o place_n except_o when_o it_o be_v vertical_a to_o it_o 5._o all_o the_o star_n arise_v and_o set_v in_o place_n nigh_o the_o aequator_fw-la but_o those_o star_n which_o be_v near_o the_o pole_n in_o place_n more_o remote_a from_o the_o aequator_fw-la do_v not_o arise_v and_o those_o be_v but_o very_o few_o and_o therefore_o they_o can_v cause_v little_a heat_n and_o light_n and_o that_o also_o insensible_a in_o the_o air._n 6._o in_o many_o place_n of_o the_o torrid_a zone_n as_o in_o india_n and_o its_o isle_n in_o the_o tongue_n of_o africa_n and_o in_o mexico_n the_o earth_n be_v sulphureous_a which_o send_v forth_o more_o calid_a vapour_n whence_o it_o communicate_v a_o certain_a heat_n to_o the_o air_n and_o a_o peculiar_a property_n in_o some_o place_n it_o be_v sandy_a as_o in_o the_o north_n part_n of_o africa_n lie_v in_o the_o torrid_a zone_n in_o part_n of_o lybia_n and_o the_o land_n of_o the_o negro_n in_o many_o place_n of_o arabia_n in_o peru_n and_o in_o the_o place_n between_o peru_n and_o brazilia_n whence_o in_o these_o place_n a_o very_a great_a heat_n be_v raise_v by_o the_o sun_n because_o the_o particle_n of_o the_o sand_n do_v very_o long_o retain_v the_o heat_n receive_v from_o the_o sun_n and_o soon_o communicate_v the_o same_o to_o the_o vicine_fw-la air._n in_o other_o place_n the_o river_n be_v many_o and_o in_o those_o sandy_a one_o few_o there_o be_v many_o in_o abyssine_n in_o guiney_n congo_n india_n and_o in_o brazilia_n hence_o humid_a vapour_n be_v raise_v which_o do_v very_o much_o blunt_v the_o force_n of_o the_o sun_n ray_n and_o render_v his_o heat_n more_o tolerable_a 7._o the_o most_o place_n of_o the_o torrid_a zone_n have_v the_o sea_n adjacent_a as_o india_n and_o its_o isle_n the_o tongue_n of_o africa_n guiney_n brazilia_n peru_n mexico_n some_o place_n of_o the_o torrid_a zone_n be_v mediterranean_n as_o the_o more_o inward_a africa_n the_o region_n between_o peru_n and_o brazilia_n whence_o it_o come_v to_o pass_v that_o in_o those_o place_n the_o heat_n and_o drought_n be_v great_a and_o in_o some_o or_o most_o of_o they_o the_o air_n be_v more_o moist_a and_o less_o fervent_a than_o can_v be_v cause_v by_o the_o sun_n except_o other_o cause_n happen_v 8._o most_o of_o the_o region_n of_o the_o torrid_a zone_n see_v that_o they_o be_v almost_o encompass_v by_o the_o sea_n have_v in_o the_o middle_a place_n more_o or_o lesser_a ridge_n of_o exceed_v high_a mountain_n as_o india_n and_o its_o isle_n the_o tongue_n of_o africa_n and_o peru_n these_o row_n of_o mountain_n do_v very_o much_o vary_v the_o light_n heat_n and_o ray_n of_o those_o place_n somewhere_o they_o hinder_v the_o oriental_a ray_n of_o the_o sun_n otherwhere_o the_o occidental_a moreover_o the_o humid_a vapour_n condense_v in_o the_o air_n be_v move_v to_o the_o vertices_fw-la of_o these_o mountain_n as_o we_o have_v show_v in_o the_o twenty_o chapter_n whence_o rain_n and_o cloud_n proceed_v by_o which_o the_o heat_n and_o light_n of_o the_o sun_n be_v very_o much_o obstruct_v and_o the_o celestial_a cause_n of_o the_o season_n be_v disturb_v there_o be_v few_o of_o the_o place_n of_o the_o torrid_a zone_n which_o want_v those_o ridge_n as_o the_o inward_a africa_n mexico_n and_o the_o like_a 9_o the_o effect_n of_o the_o wind_n in_o the_o torrid_a zone_n be_v various_a and_o notable_a for_o a_o general_a wind_n blow_v from_o the_o side_n plagas_fw-la of_o the_o east_n or_o from_o the_o east_n continual_o towards_o the_o west_n refrigerate_v the_o maritime_a place_n which_o regard_v the_o east_n as_o brazilia_n the_o oriental_a coast_n of_o africa_n but_o not_o so_o to_o those_o towards_o the_o west_n as_o guiney_n congo_n angola_n and_o the_o coast_n of_o peru._n some_o wind_n be_v appropriate_v as_o the_o south_n in_o peru_n which_o wind_n dispel_v vapour_n towards_o the_o plaga_fw-la in_o which_o they_o blow_v some_o be_v fix_v wind_n of_o which_o we_o have_v large_o treat_v in_o the_o one_o and_o twenty_o chapter_n now_o these_o wind_n do_v very_o much_o disturb_v the_o celestial_a cause_n of_o the_o season_n for_o they_o be_v almost_o as_o equal_o constant_a and_o observe_v order_n as_o the_o motion_n of_o the_o heaven_n itself_o they_o bring_v down_o the_o air_n compel_v the_o vapour_n towards_o the_o top_n of_o the_o mountain_n and_o by_o other_o mode_n alter_v the_o season_n ten_o anniversary_n rain_n be_v in_o many_o place_n of_o the_o torrid_a zone_n and_o take_v away_o the_o celestial_a cause_n see_v that_o they_o be_v as_o equal_o constant_a as_o the_o motion_n of_o the_o sun_n itself_o for_o those_o err_v who_o suppose_v that_o this_o our_o sublunary_a orb_n observe_v all_o with_o inconstancy_n and_o without_o order_n and_o that_o the_o celestial_a only_o have_v a_o constant_a motion_n see_v that_o the_o cause_n hitherto_o speak_v of_o be_v so_o various_a to_o be_v able_a to_o cause_v the_o heat_n and_o the_o property_n of_o the_o season_n and_o in_o one_o place_n some_o be_v from_o other_o cause_n in_o another_o other_o be_v of_o force_n or_o concur_v in_o divers_a season_n of_o the_o year_n or_o mutual_o impede_fw-la one_o another_o hence_o we_o discover_v why_o the_o cause_n and_o condition_n of_o the_o season_n of_o the_o torrid_a zone_n be_v so_o various_a proposition_n xi_o how_o the_o spring_n summer_n autumn_n and_o winter_n terrestrial_a do_v behave_v themselves_o and_o in_o what_o month_n of_o the_o year_n they_o commence_v in_o the_o divers_a place_n of_o the_o torrid_a zone_n zone_n of_o the_o beginning_n of_o the_o season_n in_o place_n in_o the_o torrid_a zone_n we_o have_v say_v before_o and_o especial_o in_o the_o second_o proposition_n that_o
the_o air_n than_o it_o will_v do_v without_o this_o refraction_n we_o shall_v anon_o allege_v a_o example_n of_o the_o appearancy_n of_o the_o sun_n proceed_v from_o refraction_n 4._o the_o full_a moon_n and_o near_o the_o full_a remain_v above_o the_o horizon_n for_o many_o day_n when_o the_o sun_n be_v depress_v beneath_o it_o viz._n for_o so_o many_o more_o day_n by_o how_o much_o that_o place_n be_v more_o near_o the_o pole_n yet_o it_o be_v not_o so_o high_o elevate_v above_o the_o horizon_n as_o to_o cause_v any_o warmness_n but_o the_o full_a moon_n in_o those_o month_n in_o which_o the_o sun_n remain_v above_o the_o horizon_n in_o a_o whole_a revolution_n the_o full_a moon_n be_v never_o above_o the_o horizon_n horizon_n the_o planet_n not_o always_o the_o same_o above_o horizon_n 5._o the_o fix_a star_n be_v almost_o the_o same_o always_o above_o the_o horizon_n but_o not_o the_o planet_n for_o saturn_n remain_v 15_o year_n above_o the_o horizon_n of_o the_o place_n near_o the_o pole_n and_z 15_o beneath_o the_o same_o jupiter_n 6_o year_n beneath_o and_o 6_o above_o the_o same_o horizon_n mars_n 1_o year_n venus_n and_o mercury_n about_o half_a a_o year_n from_o this_o cause_n it_o be_v likely_a that_o there_o be_v great_a diversity_n of_o the_o motion_n of_o the_o air_n and_o season_n in_o divers_a year_n 6._o the_o land_n in_o most_o place_n of_o the_o frigid_a zone_n be_v stony_a rocky_a and_o as_o hard_o as_o flint_n in_o few_o place_n chalky_a sulphureous_a and_o fat_a in_o these_o place_n there_o be_v a_o moderate_a fertility_n in_o the_o other_o a_o sterility_n 7._o those_o region_n be_v encompass_v with_o the_o sea_n but_o for_o the_o mediterranean_a we_o as_o yet_o have_v no_o certain_a account_n 8._o some_o of_o the_o region_n of_o the_o frigid_a zone_n have_v mountain_n of_o a_o moderate_a height_n but_o most_o want_v they_o run_v on_o a_o plain_a for_o a_o long_a space_n 9_o the_o cold_a wind_n there_o frequent_o blow_v from_o the_o polary_n plaga_fw-la seldom_o the_o east_n wind_n and_o least_o of_o all_o the_o west_n in_o the_o cold_a arctic_a plaga_fw-la the_o north_n wind_n rage_n in_o the_o antarctic_a the_o south_n 10._o cloud_n and_o rain_n frequent_o perplex_v these_o region_n from_o these_o cause_n it_o be_v not_o difficult_a to_o collect_v what_o the_o condition_n of_o the_o season_n in_o these_o region_n be_v for_o in_o the_o winter_n time_n when_o the_o sun_n rise_v not_o for_o whole_a day_n it_o can_v otherwise_o be_v but_o that_o for_o the_o most_o part_n thick_a cloud_n frost_n and_o cold_a must_v render_v the_o land_n uninhabitable_a they_o be_v not_o altogether_o deprive_v of_o light_n for_o that_o time_n for_o the_o moon_n be_v above_o the_o horizon_n for_o a_o long_a time_n give_v light_a and_o the_o twilight_n be_v daily_o afford_v from_o the_o sun_n to_o the_o vicine_fw-la horizon_n but_o the_o snow_n the_o stick_n close_o about_o the_o earth_n which_o can_v be_v discuss_v by_o the_o heat_n of_o the_o sun_n and_o therefore_o hinder_v the_o aspect_n of_o remote_a thing_n there_o be_v no_o fertility_n but_o all_o barren_a and_o uncultivated_a for_o that_o which_o some_o suppose_v by_o how_o much_o any_o region_n be_v near_a to_o the_o pole_n by_o so_o much_o less_o it_o feel_v the_o intenseness_n of_o the_o cold_a and_o the_o field_n be_v find_v more_o fertile_a seem_v not_o probable_a to_o i_o when_o neither_o in_o nova_n zembla_n which_o be_v distant_a 16_o degree_n from_o the_o pole_n nor_o in_o spitzbirga_n which_o be_v only_o 8_o degree_n distant_a such_o a_o constitution_n of_o the_o earth_n be_v find_v but_o a_o roughness_n and_o hardness_n and_o almost_o in_o the_o middle_n of_o summer_n snow_n or_o at_o least_o shower_n and_o very_o cold_a wind_n neither_o be_v their_o opinion_n help_v by_o one_o example_n observe_v by_o mariner_n in_o a_o certain_a region_n 9_o degree_n distant_a from_o the_o pole_n which_o most_o man_n suppose_v to_o be_v groenland_n for_o in_o this_o green_a grass_n be_v find_v and_o a_o air_n more_o warm_a than_o in_o nova_n zembla_n as_o be_v most_o certain_a the_o only_a animal_n peculiar_a to_o these_o northern_a region_n venison_n rhinoceros_n a_o kind_n of_o venison_n be_v the_o rhinoceros_n and_o this_o in_o the_o space_n of_o a_o month_n become_v exceed_o fat_a by_o feed_v on_o this_o grass_n nevertheless_o see_v that_o as_o yet_o not_o many_o region_n be_v hitherto_o find_v of_o this_o temperature_n in_o the_o frigid_a zone_n it_o be_v not_o expedient_a for_o we_o from_o this_o single_a example_n to_o make_v a_o general_a conjecture_n especial_o see_v that_o the_o cause_n of_o this_o peculiar_a constitution_n be_v manifest_a for_o that_o land_n be_v full_a of_o marsh_n and_o sedgey_a and_o the_o grass_n by_o which_o the_o rhinoceros_n or_o dear_a be_v tender_v so_o fat_a be_v not_o a_o kind_n of_o terrestrial_a grass_n but_o sedge_n and_o osier_n but_o other_o herb_n be_v not_o there_o find_v or_o any_o tree_n from_o whence_o we_o may_v gather_v that_o that_o land_n contain_v some_o fat_a and_o sulphureous_a substance_n which_o be_v mix_v which_o the_o water_n produce_v such_o a_o oil_n and_o fatten_v sedge_n but_o that_o the_o like_a earth_n be_v to_o be_v find_v in_o other_o part_n of_o the_o frigid_a zone_n have_v not_o as_o yet_o be_v observe_v but_o rather_o the_o contrary_n therefore_o in_o the_o winter_n in_o these_o place_n be_v little_a light_n but_o a_o incredible_a and_o great_a violence_n of_o cold_a snow_n shower_n and_o polary_a wind_n and_o this_o winter_n begin_v in_o the_o northern_a frigid_a zone_n when_o the_o sun_n first_o enter_v capricorn_n although_o also_o the_o autumn_n the_o sun_n go_v from_o the_o 1_o degree_n of_o libra_n to_o the_o 1_o of_o capricorn_n be_v little_o different_a from_o this_o violent_a winter_n the_o spring_n indeed_o be_v less_o infest_a with_o this_o violence_n of_o the_o air_n yet_o it_o be_v without_o snow_n shower_n and_o cold_a polary_a wind_n yet_o the_o increase_n of_o heat_n in_o the_o day_n or_o rather_o the_o decrease_n of_o cold_a be_v discover_v at_o that_o time_n viz._n the_o sun_n go_v from_o the_o 1_o degree_n of_o aries_n to_o the_o 1_o of_o cancer_n and_o in_o this_o vernal_a season_n or_o in_o the_o latter_a day_n of_o it_o the_o sun_n continue_v above_o the_o horizon_n in_o entire_a revolution_n and_o therefore_o then_o there_o be_v discover_v a_o moderate_a heat_n which_o yet_o be_v not_o of_o that_o force_n as_o to_o melt_v and_o dissolve_v the_o snow_n of_o all_o those_o place_n into_o water_n much_o less_o be_v it_o able_a to_o melt_v the_o ice_n whence_o mariner_n report_v that_o here_o be_v to_o be_v find_v snow_n and_o ice_n of_o a_o perpetual_a duration_n then_o the_o summer_n shall_v be_v from_o the_o go_n of_o the_o sun_n from_o the_o 1_o degree_n of_o cancer_n to_o the_o 1_o of_o libra_n in_o the_o first_o part_n of_o which_o the_o sun_n yet_o remain_v for_o whole_a day_n above_o the_o horizon_n and_o augment_v the_o heat_n by_o some_o accession_n so_o that_o june_n july_n and_o august_n be_v month_n of_o a_o tolerable_a air._n in_o some_o place_n among_o the_o mountain_n the_o heat_n of_o the_o sun_n be_v intense_a but_o the_o shower_n and_o cloud_n do_v much_o hinder_v this_o benignity_n of_o the_o sun_n and_o especial_o the_o most_o sharp_a northern_a wind_n unto_o which_o sometime_o snow_n be_v adjoin_v so_o that_o no_o fruit_n or_o corn_n can_v here_o arrive_v to_o any_o maturity_n except_o in_o some_o place_n near_o the_o arctic_a circle_n chap._n xxvii_o of_o the_o shadow_n which_o the_o body_n erect_v in_o the_o earth_n and_o illuminate_v by_o the_o sun_n do_v cast_v and_o of_o the_o division_n of_o the_o earth_n arise_v from_o thence_o see_v that_o the_o shadow_n in_o divers_a place_n of_o the_o earth_n which_o the_o illuminate_v body_n of_o the_o sun_n do_v cast_v be_v carry_v into_o divers_a place_n and_o fall_v on_o the_o sense_n have_v much_o variety_n hence_o it_o come_v to_o pass_v that_o man_n who_o be_v ignorant_a of_o this_o cause_n be_v strike_v with_o a_o admiration_n and_o in_o respect_n of_o the_o shadow_n of_o the_o earth_n divide_v the_o inhabitant_n of_o the_o earth_n as_o it_o be_v into_o three_o sort_n which_o division_n must_v be_v apply_v to_o the_o place_n of_o the_o earth_n or_o to_o its_o superficies_n so_o that_o they_o term_v some_o amphiscij_fw-la other_o heteroscij_fw-la and_o the_o rest_n periscij_fw-la the_o explication_n of_o which_o term_n see_v that_o they_o contain_v but_o small_a learning_n we_o shall_v say_v somewhat_o also_o concern_v shadow_n which_o although_o they_o do_v not_o pertain_v to_o geography_n yet_o by_o reason_n of_o their_o near_a affinity_n they_o may_v be_v propose_v in_o this_o chapter_n shadow_n of_o
the_o first_o and_o opposite_a meridian_n viz._n a_o p_o and_o c_o p_o the_o number_n may_v be_v ascribe_v from_o the_o aequator_fw-la towards_o p_o to_o wit_n 1_o 2_o 3_o 4_o even_o to_o 90_o so_o that_o the_o latitude_n of_o every_o one_o may_v be_v conspicuous_a but_o at_o the_o parallel_n 23_o deg_fw-la 30_o min._n the_o tropic_a of_o cancer_n shall_v be_v ascribe_v at_o the_o 66_o degree_n 30_o min._n the_o arctic_a circle_n in_o the_o praxis_fw-la neither_o all_o the_o meridian_n nor_o all_o the_o parallel_n must_v be_v colour_v but_o only_o every_o ten_o the_o rest_n must_v be_v represent_v with_o occult_a or_o obscure_a line_n after_o all_o the_o meridian_n and_o parallel_n be_v describe_v it_o be_v easy_a to_o note_v from_o the_o table_n of_o longitude_n and_o latitude_n of_o place_n the_o place_n of_o the_o earth_n viz._n of_o its_o superficies_n let_v the_o longitude_n of_o any_o place_n be_v account_v from_o the_o first_o assume_v meridian_n in_o the_o aequator_fw-la so_o we_o fall_v into_o the_o meridian_n of_o the_o place_n then_o from_o the_o latitude_n of_o the_o place_n we_o choofe_n a_o parallel_n of_o the_o same_o latitude_n and_o the_o point_n where_o the_o meridian_n cut_v the_o parallel_n be_v the_o point_n which_o represent_v the_o assume_v place_n of_o the_o earth_n who_o appellation_n be_v to_o be_v ascribe_v unto_o it_o and_o so_o we_o shall_v act_v with_o the_o inscription_n or_o projecture_n of_o any_o place_n to_o be_v take_v until_o the_o map_n or_o table_n be_v finish_v note_v rule_v to_o be_v observe_v if_o the_o semicircle_n of_o the_o ecliptic_a be_v to_o be_v note_v if_o the_o semicircle_n also_o of_o the_o ecliptic_a be_v to_o be_v note_v in_o it_o that_o must_v be_v do_v before_o the_o designation_n of_o the_o place_n we_o have_v say_v that_o the_o ecliptic_a make_v the_o ecliptic_a line_n in_o projecture_n therefore_o its_o point_n through_o which_o that_o portion_n of_o the_o eclipse_n must_v be_v draw_v aught_o to_o be_v find_v that_o be_v take_v for_o the_o first_o point_n or_o for_o the_o intersection_n of_o the_o ecliptic_a and_o the_o aequator_fw-la in_o which_o the_o first_o meridian_n cut_v the_o aequator_fw-la which_o therefore_o be_v note_v in_o the_o sign_n of_o aries_n but_o the_o last_o point_n of_o this_o half_a eclipse_n or_o the_o other_o intersection_n of_o the_o aequator_fw-la and_o the_o ecliptic_a viz._n the_o end_n of_o virgo_fw-la shall_v be_v in_o 180_o the_o opposite_a point_n of_o the_o aequator_fw-la the_o intermedial_a point_n be_v that_o in_o which_o the_o meridian_n 90_o cut_v the_o tropic_a of_o cancer_n so_o we_o have_v get_v three_o point_n through_o which_o the_o portion_n of_o the_o eclipse_n to_o be_v describe_v pass_v which_o be_v lesser_a than_o the_o half_a eclipse_n which_o be_v the_o point_n of_o the_o 1_o deg_fw-la of_o aries_n cancer_n and_o libra_n for_o find_v the_o other_o point_n as_o the_o 1_o deg_fw-la of_o taurus_n and_o 15_o the_o 1_o deg_fw-la and_o the_o 15_o degree_n of_o gemini_fw-la the_o 1_o deg_fw-la of_o leo_n the_o 1_o deg_fw-la of_o virgo_fw-la the_o declination_n of_o these_o point_n must_v be_v take_v from_o the_o table_n and_o the_o right_a ascension_n which_o be_v here_o ascribe_v declination_n right_o ascension_n  _fw-fr deg_fw-la min._n deg_fw-la min._n  _fw-fr  _fw-fr the_o 15_o of_o aries_n and_o virgo_fw-la 5_o 56_o 13_o 48_o 166_o for_o the_o 15_o deg_fw-la of_o virgo_fw-la the_o 1_o of_o taurus_n and_o virgo_fw-la 11_o 31_o 27_o 0_o 152_o for_o the_o beginning_n of_o virg._n the_o 15_o of_o taurus_n and_o leo_n 16_o 24_o 42_o 0_o 187_o for_o the_o 15_o deg_fw-la of_o leo._n the_o 1_o of_o gemini_fw-la and_o leo_fw-la 20_o 13_o 57_o 0_o 122_o for_o the_o beginning_n of_o leo_n the_o 15_o of_o gemini_fw-la &_o cancer_n 22_o 41_o 73_o 0_o 106_o for_o the_o 15_o deg_fw-la of_o cancer_n then_o where_o the_o meridian_n 13_o deg_fw-la or_o 4_o deg_fw-la cut_v the_o parallel_n 5_o deg_fw-la or_o rather_o 6_o deg_fw-la that_o point_n shall_v be_v the_o 15_o deg_fw-la of_o aries_n also_o where_o the_o meridian_n 27_o cut_v the_o parallel_n 11_o ½_n there_o shall_v be_v the_o 1_o deg_fw-la of_o taurus_n so_o where_o the_o meridian_n 42_o the_o parallel_n 16_o deg_fw-la where_o the_o 15_o deg_fw-la of_o taurus_n and_o where_o the_o meridian_n 106_o cut_v the_o parallel_n 22_o deg_fw-la 41_o min._n there_o shall_v be_v the_o 15_o deg_fw-la of_o cancer_n where_o the_o meridian_n 122_o cut_v the_o parallel_n 20_o there_o shall_v be_v the_o beginning_n of_o leo_n and_o so_o the_o other_o meridian_n 137_o 152_o 166_o cut_v the_o parallel_n 16_o 11_o 5_o for_o the_o 15_o deg_fw-la of_o leo_n in_o the_o begin_n of_o virgo_fw-la and_o the_o 15_o of_o virgo_fw-la these_o point_n be_v join_v by_o a_o crooked_a line_n we_o shall_v have_v the_o portion_n of_o the_o eclipse_n for_o the_o semicircle_n of_o the_o boreal_a ecliptic_a who_o point_n and_o degree_n be_v easy_o note_v in_o every_o sign_n if_o that_o you_o take_v declination_n for_o every_o one_o out_o of_o the_o table_n and_o right_a ascension_n by_o that_o mode_n by_o which_o we_o have_v sign_v the_o degree_n the_o 15_o deg_fw-la of_o taurus_n the_o 1_o deg_fw-la of_o gemini_fw-la and_o the_o like_a this_o be_v do_v the_o composition_n of_o this_o geographical_a map_n be_v finish_v which_o shall_v represent_v the_o half_a superficies_n of_o the_o earth_n to_o wit_n the_o part_n between_o the_o aequator_fw-la and_o the_o pole_n arctic_a that_o this_o mode_n be_v most_o easy_a and_o pleasant_a will_v be_v manifest_a from_o the_o description_n and_o the_o praxis_fw-la will_v show_v it_o now_o we_o shall_v speak_v of_o its_o use_n and_o inconvenience_n we_o have_v say_v before_o that_o three_o thing_n be_v require_v in_o a_o map_n or_o that_o they_o be_v make_v for_o a_o threefold_a end_n the_o first_o of_o these_o the_o map_n make_v by_o this_o method_n do_v accurate_o enough_o discover_v end_n map_n be_v make_v for_o a_o threefold_a end_n viz._n the_o latitude_n and_o longitude_n of_o every_o place_n because_o they_o be_v make_v from_o a_o table_n of_o latitude_n and_o longitude_n also_o they_o show_v the_o distance_n of_o place_n from_o the_o course_n or_o way_n of_o the_o sun_n or_o zone_n the_o second_o requisite_a to_o wit_n the_o due_a proportion_n of_o the_o magnitude_n of_o every_o region_n map_n of_o this_o sort_n do_v not_o altogether_o perform_v for_o region_n by_o how_o much_o they_o be_v more_o near_o the_o aequator_fw-la by_o so_o much_o the_o more_o they_o receive_v the_o great_a place_n in_o this_o projecture_n than_o they_o ought_v to_o have_v by_o their_o own_o proportion_n but_o this_o difference_n be_v small_a by_o reason_n of_o the_o great_a distance_n of_o the_o eye_n aequator_fw-la few_o region_n inhabit_a about_o the_o pole_n but_o many_o towards_o the_o aequator_fw-la and_o this_o defect_n be_v compensated_a by_o that_o commodity_n that_o the_o place_n may_v the_o better_o be_v note_v by_o reason_n few_o region_n be_v inhabit_v about_o the_o pole_n but_o many_o towards_o the_o aequator_fw-la but_o the_o three_o end_n viz._n the_o situation_n of_o one_o place_n to_o another_o and_o the_o distance_n of_o place_n can_v be_v perform_v by_o these_o table_n because_o the_o line_n which_o note_v such_o place_n in_o the_o map_n have_v another_o situation_n and_o proportion_n than_o in_o the_o earth_n but_o if_o you_o please_v to_o examine_v the_o situation_n of_o one_o place_n to_o the_o situation_n of_o other_o place_n and_o the_o rise_n and_o stay_v of_o the_o sun_n above_o the_o horizon_n of_o the_o same_o the_o horizon_n of_o that_o place_n may_v be_v draw_v in_o a_o elliptical_a form_n in_o this_o method_n let_v 90_o degree_n on_o both_o side_n be_v reckon_v in_o the_o aequator_fw-la from_o the_o meridian_n of_o the_o give_v place_n one_o of_o the_o term_n of_o the_o numeration_n shall_v one_o point_n of_o the_o horizon_n to_o be_v draw_v viz._n the_o oriental_a point_n in_o which_o the_o aequator_fw-la cut_v the_o horizon_n the_o other_o term_n again_o shall_v be_v the_o point_n of_o the_o horizon_n for_o the_o aequinoctial_a set_n moreover_o in_o the_o opposite_a quadrant_n of_o the_o meridiah_n of_o the_o place_n let_v so_o many_o parallel_n be_v account_v from_o the_o pole_n towards_o the_o aequator_fw-la as_o the_o parallel_n of_o the_o place_n be_v distant_a from_o the_o aequator_fw-la the_o term_n of_o the_o numeration_n shall_v show_v the_o three_o point_n of_o the_o horizon_n viz_o the_o northern_a cardo_n we_o shall_v show_v how_o to_o find_v the_o point_n of_o the_o south_n cardo_n in_o that_o which_o we_o shall_v annex_v by_o and_o by_o if_o a_o great_a portion_n than_o that_o of_o the_o hemisphere_n be_v to_o be_v represent_v on_o the_o map_n for_o it_o be_v not_o to_o