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at_o all_o but_o i_o do_v affirm_v there_o be_v no_o one_o that_o can_v either_o prove_v that_o there_o be_v or_o that_o there_o be_v not_o any_o parallax_n of_o that_o orb_n among_o the_o fix_a star_n from_o the_o suppellex_fw-la of_o observation_n yet_o make_v either_o by_o tycho_n riccioli_n or_o any_o other_o writer_n that_o i_o have_v yet_o meet_v with_o from_o the_o begin_n of_o write_v to_o this_o day_n for_o all_o observator_n have_v hitherto_o make_v use_n of_o the_o naked_a eye_n for_o determine_v the_o exact_a place_n of_o the_o object_n and_o the_o eye_n be_v unable_a to_o distinguish_v any_o angle_n less_o than_o a_o minute_n and_o a_o observation_n requisite_a to_o determine_v this_o require_v a_o much_o great_a exactness_n then_o to_o a_o minute_n it_o do_v necessary_o follow_v that_o this_o experimentum_fw-la crucis_fw-la be_v not_o in_o their_o power_n whatever_o either_o tycho_n or_o riccioli_n have_v say_v to_o the_o contrary_a and_o will_v thence_o overthrow_v the_o 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one_o which_o i_o have_v endeavour_v to_o make_v and_o the_o unquestionable_a certainty_n thereof_o be_v a_o most_o undeniable_a argument_n of_o the_o truth_n of_o the_o copernican_n systeme_n and_o the_o want_n thereof_o have_v be_v the_o principal_a argument_n that_o have_v hitherto_o somewhat_o detain_v i_o from_o declare_v absolute_o for_o that_o hypothesis_n for_o though_o it_o do_v in_o every_o particular_a almost_o seem_v to_o solve_v the_o appearance_n more_o natural_o and_o easy_o and_o to_o afford_v a_o exceed_a harmonious_a constitution_n of_o the_o great_a body_n of_o the_o world_n compare_v one_o with_o another_o as_o to_o their_o magnitude_n motion_n and_o distance_n yet_o this_o objection_n be_v always_o very_o plausible_a to_o most_o man_n that_o it_o be_v affirm_v by_o such_o as_o have_v write_v more_o particular_o of_o this_o subject_n that_o there_o never_o be_v any_o sensible_a parallax_n discover_v by_o the_o best_a observation_n
of_o this_o suppose_a annual_a motion_n of_o the_o earth_n about_o the_o sun_n as_o its_o centre_n though_o move_v in_o a_o orb_n who_o diameter_n be_v by_o the_o great_a number_n of_o astronomer_n reckon_v between_o 11_o and_o 12_o hundred_o diameter_n of_o the_o earth_n though_o some_o other_o make_v it_o between_o 3_o and_o 4_o thousand_o other_o between_o 7_o and_o 8_o and_o other_o between_o 14_o and_o 15_o thousand_o and_o i_o be_o apt_a to_o believe_v it_o may_v be_v yet_o much_o more_o each_o diameter_n of_o the_o earth_n be_v suppose_v to_o be_v between_o 7_o and_o 8_o thousand_o english_a mile_n and_o consequent_o the_o whole_a be_v reduce_v into_o mile_n if_o we_o reckon_v with_o the_o most_o amount_v to_o 120_o million_o of_o english_a mile_n it_o can_v i_o confess_v but_o seem_v very_o uncouth_a and_o strange_a to_o such_o as_o have_v be_v use_v to_o confine_v the_o world_n with_o less_o dimension_n that_o this_o annual_a orb_n of_o the_o earth_n of_o so_o vast_a a_o magnitude_n shall_v have_v no_o sensible_a parallax_n among_o the_o fix_a star_n and_o therefore_o it_o be_v in_o vain_a to_o endeavour_v to_o answer_v that_o objection_n for_o it_o be_v unreasonable_a to_o expect_v that_o the_o fancy_n of_o most_o man_n shall_v be_v so_o far_o strain_v beyond_o their_o narrow_a dimension_n as_o to_o make_v they_o believe_v the_o extent_n of_o the_o universe_n so_o immens_o great_a as_o they_o must_v have_v grant_v it_o to_o be_v suppose_v no_o parallax_n can_v have_v be_v find_v the_o inquisitive_a jesuit_n riccioli_n have_v take_v great_a pain_n by_o 77_o argument_n to_o overthrow_v the_o copernican_n hypothesis_n and_o be_v therein_o so_o earnest_a and_o zealous_a that_o though_o otherwise_o a_o very_a learned_a man_n and_o good_a astronomer_n he_o seem_v to_o believe_v his_o own_o argument_n but_o all_o his_o other_o 76_o argument_n may_v have_v be_v spare_v as_o to_o most_o man_n if_o upon_o make_v observation_n as_o i_o have_v do_v he_o can_v have_v prove_v there_o have_v be_v no_o sensible_a parallax_n this_o way_n discoverable_a as_o i_o believe_v this_o one_o discovery_n will_v answer_v they_o and_o 77_o more_o if_o so_o many_o can_v be_v think_v of_o and_o produce_v against_o it_o though_o yet_o i_o confess_v have_v i_o fail_v in_o discover_v a_o parallax_n this_o way_n as_o to_o my_o own_o thought_n and_o persuasion_n the_o almost_o infinite_a extension_n of_o the_o universe_n have_v not_o to_o i_o seem_v altogether_o so_o great_a a_o absurdity_n to_o be_v believe_v as_o the_o generality_n do_v esteem_v it_o for_o since_o it_o be_v confess_o grant_v on_o all_o hand_n the_o distance_n of_o the_o fix_a star_n be_v mere_o hypothetical_a and_o not_o found_v on_o any_o other_o ground_n or_o reason_n but_o fancy_n and_o supposition_n and_o that_o there_o never_o be_v hitherto_o any_o parallax_n observe_v nor_o any_o other_o considerable_a argument_n to_o prove_v the_o distance_n suppose_v by_o such_o as_o have_v be_v most_o curious_a and_o inquisitive_a in_o that_o particular_a i_o see_v no_o argument_n draw_v from_o the_o nature_n of_o the_o thing_n that_o can_v have_v any_o necessary_a force_n in_o it_o to_o determine_v that_o the_o say_a distance_n can_v be_v more_o than_o this_o or_o that_o whatever_o it_o be_v that_o be_v assign_v for_o the_o same_o god_n that_o do_v make_v this_o world_n that_o we_o will_v thus_o limit_v and_o bind_v can_v as_o easy_o make_v it_o million_o of_o million_o of_o time_n big_a as_o of_o that_o quantity_n we_o imagine_v and_o all_o the_o other_o appearance_n except_o this_o of_o parallax_n will_v be_v the_o very_a same_o that_o now_o they_o be_v to_o i_o indeed_o the_o universe_n seem_v to_o be_v vast_o big_a than_o it_o be_v hitherto_o assert_v by_o any_o writer_n when_o i_o consider_v the_o many_o differ_a magnitude_n of_o the_o fix_a star_n and_o the_o continual_a increase_n of_o their_o number_n according_a as_o they_o be_v look_v after_o with_o better_a and_o long_a telescope_n and_o can_v we_o certain_o determine_v and_o measure_v their_o diameter_n and_o distinguish_v what_o part_n of_o their_o appear_a magnitude_n be_v to_o be_v attribute_v to_o their_o bulk_n and_o what_o to_o their_o brightness_n i_o be_o apt_a to_o believe_v we_o shall_v make_v another_o distribution_n of_o their_o magnitude_n than_o what_o be_v already_o make_v by_o ptolemy_n tycho_n kepler_n bayer_n clavius_n grienbergerus_fw-la piff_n hevelius_n and_o other_o for_o suppose_v all_o the_o fix_a star_n as_o so_o many_o sun_n and_o each_o of_o they_o to_o have_v a_o sphere_n of_o activity_n or_o expansion_n proportionate_a to_o their_o solidity_n and_o activity_n and_o a_o big_a and_o bright_a body_v star_n to_o have_v a_o proportionate_a big_a space_n or_o expansion_n belong_v to_o it_o we_o shall_v from_o the_o knowledge_n of_o their_o diameter_n and_o brightness_n be_v better_a able_a to_o judge_v of_o their_o distance_n and_o consequent_o assign_v divers_a of_o they_o other_o magnitude_n than_o those_o already_o state_v especial_o since_o we_o now_o find_v by_o observation_n that_o of_o those_o which_o be_v account_v single_a star_n divers_a prove_v a_o congery_n of_o many_o star_n though_o from_o their_o near_a appear_v to_o each_o other_o the_o naked_a eye_n can_v distinguish_v they_o such_o as_o those_o star_n which_o be_v call_v nebulous_a and_o those_o in_o orion_n sword_n and_o that_o in_o the_o head_n of_o aries_n and_o a_o multitude_n of_o other_o the_o telescope_n do_v now_o detect_v and_o possible_o we_o may_v find_v that_o those_o twenty_o magnitude_n of_o star_n now_o discover_v by_o a_o fifteen_o foot_n glass_n may_v be_v find_v to_o increase_v the_o magnitude_n of_o the_o semidiameter_n of_o the_o visible_a world_n forty_o time_n big_a than_o the_o copernican_n now_o suppose_v it_o between_o the_o sun_n and_o the_o fix_a star_n and_o consequent_o sixty_o four_o thousand_o time_n in_o bulk_n and_o if_o a_o telescope_n of_o double_a or_o treble_v the_o goodness_n of_o one_o of_o fifteen_o shall_v discover_v double_a or_o treble_v the_o say_a number_n of_o magnitude_n will_v it_o not_o be_v a_o argument_n of_o double_v or_o treble_v the_o former_a diameter_n and_o of_o increase_v the_o bulk_n eight_o or_o twenty_o seven_o time_n especial_o if_o their_o apparent_a diameter_n shall_v be_v find_v reciprocal_a to_o their_o distance_n for_o the_o determination_n of_o which_o i_o do_v make_v some_o observation_n and_o design_n to_o complete_a with_o what_o speed_n i_o be_o able_a but_o to_o digress_v no_o further_o this_o grand_a objection_n of_o the_o anti-copernicans_a which_o to_o most_o man_n seem_v so_o plausible_a that_o it_o be_v in_o vain_a to_o oppose_v it_o though_o i_o say_v it_o keep_v i_o from_o declare_v absolute_o for_o the_o copernican_n hypothesis_n yet_o i_o never_o find_v any_o absurdity_n or_o impossibility_n that_o follow_v thereupon_o and_o i_o always_o suspect_v that_o though_o some_o great_a astronomer_n have_v assert_v that_o there_o be_v no_o parallax_n to_o be_v find_v by_o their_o observation_n though_o make_v with_o great_a accurateness_n there_o may_v yet_o be_v a_o possibility_n that_o they_o may_v be_v mistake_v which_o make_v i_o always_o look_v upon_o it_o as_o a_o inquiry_n well_o worth_a examine_n first_o whether_o the_o way_n they_o have_v already_o attempt_v be_v not_o subject_a and_o liable_a to_o great_a error_n and_o uncertainty_n and_o second_o whether_o there_o may_v not_o be_v some_o other_o way_n find_v out_o which_o shall_v be_v free_a from_o all_o the_o exception_n the_o former_a be_v encumber_v with_o and_o be_v so_o far_o advance_v beyond_o the_o former_a in_o certainty_n and_o accurateness_n as_o that_o from_o the_o diligent_a and_o curious_a use_n thereof_o not_o only_o all_o the_o objection_n against_o the_o former_a may_v be_v remove_v but_o all_o other_o whatsoever_o that_o be_v material_a to_o prove_v the_o ineffectualness_n thereof_o for_o this_o purpose_n i_o begin_v therefore_o first_o to_o examine_v into_o the_o matter_n as_o it_o have_v already_o be_v perform_v by_o those_o who_o have_v assert_v no_o sensible_a parallax_n of_o the_o annual_a orb_n of_o the_o earth_n and_o quick_o find_v that_o whatever_o they_o assert_v they_o can_v never_o determine_v whether_o there_o be_v any_o or_o no_o parallax_n of_o this_o annual_a orb_n especial_o if_o it_o be_v less_o than_o a_o minute_n which_o kepler_n and_o riccioli_n hypothetical_o affirm_v it_o to_o be_v the_o former_a make_n it_o about_o twenty_o four_o second_o and_o the_o latter_a about_o ten_o for_o though_o tycho_n a_o man_n of_o unquestionable_a truth_n in_o his_o assertion_n affirm_v it_o possible_a to_o observe_v with_o large_a instrument_n convenient_o mount_v and_o furnish_v with_o sight_n contrive_v by_o himself_o and_o now_o the_o common_a one_o for_o astronomical_a instrument_n to_o the_o accurateness_n of_o
conspicuous_a before_o about_o the_o body_n of_o the_o moon_n vanish_v however_o i_o have_v before_o its_o first_o emersion_n out_o of_o the_o shadow_n take_v a_o little_a draught_n of_o the_o small_a star_n according_a to_o their_o several_a positure_n and_o magnitude_n only_o by_o guess_n that_o i_o may_v a_o week_n after_o when_o the_o moon_n be_v go_v far_o off_o inquire_v what_o that_o star_n be_v that_o have_v suffer_v so_o conspicuous_a a_o eclipse_n and_o that_o thereby_o i_o may_v the_o more_o certain_o determine_v the_o true_a place_n of_o the_o sun_n and_o moon_n at_o that_o instant_n which_o i_o find_v to_o be_v that_o in_o bayer_n touch_v the_o ecliptic_a in_o about_o 21°_n 40′_n of_o cancer_n the_o umbra_fw-la cease_v whole_o at_o eight_o of_o the_o clock_n and_o five_o minute_n though_o the_o penumbra_fw-mi then_o possess_v almost_o a_o three_o of_o the_o moon_n diameter_n and_o last_v near_o half_a a_o hour_n after_o before_o that_o side_n of_o the_o moon_n be_v perfect_o enlighten_v like_o the_o other_o there_o be_v one_o phenomenon_n very_o remarkable_a which_o i_o take_v more_o especial_a notice_n of_o as_o seem_v to_o i_o very_o considerable_a for_o the_o determine_v that_o controversy_n whether_o the_o moon_n have_v a_o atmosphere_n or_o not_o like_o that_o of_o the_o earth_n and_o that_o be_v that_o after_o the_o moon_n be_v enter_v whole_o into_o the_o umbra_fw-la of_o the_o earth_n that_o part_n of_o the_o limb_n of_o the_o moon_n which_o be_v last_o enlighten_v continue_v for_o a_o considerable_a while_n to_o have_v a_o very_a great_a brightness_n upon_o it_o which_o extend_v on_o each_o side_n that_o part_n of_o the_o limb_n both_o northwards_o and_o southwards_o to_o about_o a_o quadrant_a of_o the_o moon_n limb_n make_v a_o representation_n almost_o of_o a_o new_a moon_n about_o a_o day_n or_o two_o old_a and_o as_o the_o body_n of_o the_o moon_n be_v immerge_v deep_a into_o the_o shadow_n so_o this_o brightness_n or_o light_n grow_v faint_a and_o faint_a but_o still_o seem_v to_o spread_v itself_o very_o far_o upon_o the_o limb_n of_o the_o moon_n only_o and_o not_o upon_o the_o body_n thereof_o that_o which_o be_v spread_v into_o the_o body_n be_v much_o faint_a and_o weak_a and_o seem_v as_o i_o before_o note_v to_o proceed_v from_o the_o refraction_n of_o the_o atmosphere_n of_o the_o earth_n nor_o be_v this_o only_a conspicuous_a at_o the_o moon_n enter_v into_o the_o total_a darkness_n but_o as_o remarkable_a also_o at_o the_o exitus_fw-la thereof_o out_o of_o the_o same_o insomuch_o that_o some_o of_o those_o person_n who_o at_o the_o same_o time_n view_v the_o same_o with_o i_o very_o believe_v the_o moon_n be_v not_o whole_o eclipse_v so_o soon_o as_o real_o it_o be_v nor_o continue_v so_o long_o in_o that_o obscurity_n as_o very_o visible_o it_o do_v by_o the_o space_n of_o two_o or_o three_o minute_n for_o i_o take_v especial_a notice_n when_o this_o enlighten_v of_o the_o limb_n begin_v again_o to_o appear_v and_o i_o observe_v its_o increase_n and_o spread_v about_o the_o limb_n till_o the_o very_a instant_n that_o the_o immediate_a light_n of_o the_o sun_n touch_v the_o very_a extremity_n of_o the_o limb_n it_o self_n which_o be_v indeed_o so_o very_o brisk_o bright_a and_o strong_a that_o it_o do_v not_o only_o soon_o make_v the_o other_o light_n disappear_v but_o also_o all_o the_o telescopical_a star_n that_o be_v near_o to_o it_o and_o towards_o the_o end_n also_o many_o of_o the_o more_o conspicuous_a star_n especial_o such_o as_o be_v not_o far_o from_o the_o body_n of_o the_o moon_n postscript_n i_o shall_v have_v here_o take_v leave_n of_o my_o reader_n for_o this_o time_n but_o that_o find_v in_o the_o transaction_n a_o passage_n insert_v out_o of_o the_o french_a journal_n de_fw-fr scavans_n about_o the_o invention_n of_o apply_v a_o spring_n to_o the_o balance_n of_o a_o watch_n for_o the_o regulate_v the_o motion_n thereof_o without_o at_o all_o take_a notice_n that_o this_o invention_n be_v first_o find_v out_o by_o a_o englishman_n and_o long_o since_o publish_v to_o the_o world_n i_o must_v beg_v the_o reader_n patience_n whilst_o i_o in_o vindication_n of_o my_o own_o right_n against_o some_o unhandsome_a proceed_n do_v acquaint_v he_o with_o the_o state_n of_o this_o matter_n about_o seventeen_o year_n since_o be_v very_o inquisitive_a about_o the_o regulate_v the_o measure_n of_o time_n in_o order_n to_o find_v the_o longitude_n i_o do_v from_o a_o art_n of_o invention_n or_o mechanical_a algebra_n which_o i_o be_v then_o master_n of_o find_v out_o and_o perfect_v this_o contrivance_n both_o as_o to_o the_o theory_n and_o experimental_a verification_n thereof_o of_o which_o i_o then_o discourse_v to_o divers_a of_o my_o friend_n but_o conceal_v the_o modus_fw-la about_o fifteen_o year_n since_o to_o wit_n in_o the_o year_n 1660_o present_o after_o his_o majesty_n happy_a restauration_n i_o be_v in_o treaty_n with_o several_a person_n of_o honour_n some_o of_o which_o be_v yet_o live_v though_o one_o of_o they_o be_v since_o dead_a but_o i_o have_v sufficient_a evidence_n to_o produce_v in_o his_o own_o writing_n that_o he_o be_v one_o for_o the_o discovery_n thereof_o upon_o propose_a article_n of_o encouragement_n this_o i_o can_v prove_v by_o undeniable_a witness_n yet_o live_v and_o i_o have_v still_o all_o the_o paper_n article_n and_o transaction_n of_o this_o matter_n by_o i_o in_o their_o own_o hand-writing_n in_o order_n to_o bring_v this_o treaty_n to_o pass_v i_o be_v necessitate_v to_o discover_v something_o of_o invention_n about_o measure_v time_n which_o be_v this_o way_n of_o apply_v spring_n to_o the_o arbour_n of_o the_o balance_n of_o a_o watch_n for_o the_o regulate_v the_o vibration_n thereof_o in_o all_o posture_n and_o this_o i_o do_v to_o the_o end_n that_o i_o may_v gain_v somewhat_o of_o belief_n in_o those_o noble_a person_n with_o who_o i_o be_v to_o treat_v that_o i_o have_v somewhat_o more_o than_o ordinary_a and_o be_v not_o one_o of_o the_o heard-of_a pretender_n to_o that_o invention_n which_o effect_v it_o have_v and_o their_o treaty_n with_o i_o have_v final_o be_v conclude_v for_o several_a thousand_o pound_n have_v not_o the_o insert_v one_o clause_n break_v it_o off_o which_o be_v that_o if_o after_o i_o have_v discover_v my_o invention_n about_o the_o find_v the_o longitude_n by_o watch_n or_o otherwise_o though_o in_o themselves_o sufficient_a they_o or_o any_o other_o person_n shall_v find_v a_o way_n of_o improve_n my_o principle_n he_o or_o they_o shall_v have_v the_o benefit_n thereof_o during_o the_o term_n of_o the_o patent_n and_o not_o i._o to_o which_o clause_n i_o can_v no_o way_n agree_v know_v it_o be_v easy_a to_o vary_v my_o principle_n a_o hundred_o way_n and_o it_o be_v not_o improbable_a but_o that_o there_o may_v be_v make_v some_o addition_n of_o conveniency_n to_o what_o i_o shall_v at_o first_o discover_v it_o be_v facile_fw-la 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the_o longitude_n of_o place_n for_o which_o i_o hope_v to_o have_v have_v some_o benefit_n for_o all_o the_o labour_n study_n and_o charge_v i_o have_v be_v at_o for_o the_o perfect_a thereof_o upon_o this_o i_o be_v tell_v that_o i_o have_v better_o have_v then_o discover_v all_o since_o there_o be_v other_o that_o will_v find_v it_o out_o within_o six_o month_n to_o which_o i_o answer_v that_o i_o will_v try_v they_o one_o seven_o year_n and_o it_o be_v now_o above_o twice_o seven_o and_o i_o do_v not_o find_v it_o yet_o find_v out_o indeed_o mr._n hugens_n have_v make_v use_n of_o that_o part_n i_o discover_v and_o somewhat_o mr._n leibnitz_n have_v hit_v upon_o but_o both_o of_o they_o be_v imperfect_a as_o i_o shall_v hereafter_o show_v it_o be_v true_a i_o be_v alarm_v by_o one_o of_o those_o person_n about_o two_o year_n
contrary_a if_o i_o can_v have_v see_v any_o comet_n to_o have_v cover_v any_o star_n in_o its_o way_n it_o will_v have_v afford_v a_o very_a circumstantial_a information_n especial_o if_o for_o this_o purpose_n it_o have_v be_v take_v notice_n of_o with_o a_o good_a telescope_n what_o the_o density_n of_o the_o innermost_a part_n of_o this_o earth_n we_o live_v on_o be_v none_o know_v for_o though_o we_o find_v the_o part_n on_o which_o we_o tread_v to_o be_v very_o compact_a and_o though_o by_o the_o industry_n of_o miner_n it_o have_v be_v prove_v so_o also_o to_o the_o depth_n of_o many_o hundred_o foot_n as_o georgius_n agricola_n relate_v and_o though_o it_o have_v be_v find_v so_o even_o to_o a_o great_a depth_n by_o the_o sounding_n of_o the_o bottom_n of_o the_o sea_n yet_o none_o can_v bring_v a_o undeniable_a proof_n that_o the_o same_o be_v so_o solid_a to_o 25_o mile_n deep_a much_o less_o that_o it_o be_v so_o to_o the_o centre_n if_o therefore_o the_o external_a shell_n 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toto_fw-la &_o tota_fw-la in_o qualibet_fw-la parte_fw-la and_o to_o be_v more_o spiritual_a and_o to_o act_v more_o according_a to_o magical_a and_o mystical_a law_n than_o light_n sound_z or_o the_o like_a it_o give_v to_o every_o magnetical_a body_n and_o every_o piece_n of_o it_o though_o infinite_o divide_v the_o same_o propriety_n it_o have_v itself_o this_o magnetical_a virtue_n i_o say_v have_v such_o a_o relation_n and_o be_v force_v thus_o to_o vary_v it_o be_v very_o probable_a that_o the_o internal_a part_n to_o which_o it_o have_v a_o respect_n have_v a_o variation_n likewise_o and_o consequent_o that_o these_o internal_a part_n which_o be_v suppose_v general_o very_o dense_a compact_a and_o very_o close_o and_o solid_o unite_v may_v be_v notwithstanding_o more_o loose_a and_o ununited_a and_o movable_a from_o certain_a cause_n to_o proceed_v therefore_o i_o say_v that_o it_o seem_v very_o probable_a to_o i_o that_o the_o body_n of_o comet_n may_v be_v of_o the_o same_o nature_n and_o constitution_n with_o that_o of_o the_o internal_a part_n of_o the_o earth_n that_o these_o part_n may_v by_o the_o help_n of_o the_o aether_n be_v so_o agitate_a and_o blend_a together_o as_o to_o make_v they_o work_v upon_o and_o dissolve_v each_o other_o in_o the_o same_o manner_n as_o we_o have_v often_o have_v example_n of_o some_o of_o the_o part_n of_o the_o earth_n a_o late_a instance_n of_o which_o be_v at_o mongibel_n or_o aetna_n in_o sicily_n where_o the_o fire_n continue_v for_o a_o long_a time_n and_o produce_v very_o considerable_a effect_n that_o this_o internal_a agitation_n may_v confound_v the_o gravitating_a principle_n and_o so_o leave_v the_o part_n in_o a_o great_a freedom_n to_o be_v dissolve_v by_o the_o encompass_v aether_n which_o be_v the_o agent_n that_o set_v the_o other_o two_o at_o work_n to_o destroy_v each_o other_o that_o it_o may_v at_o length_n prey_n upon_o both_o and_o dissolve_v they_o both_o into_o itself_o and_o consequent_o 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the_o earth_n that_o move_v about_o it_o and_o that_o each_o of_o those_o again_o have_v a_o respect_n answerable_a whereby_o they_o may_v be_v say_v to_o attract_v the_o sun_n in_o the_o same_o manner_n as_o the_o loadstone_n have_v to_o iron_n and_o the_o iron_n have_v to_o the_o loadstone_n i_o conceive_v also_o that_o this_o attractive_a virtue_n may_v act_v likewise_o upon_o several_a other_o body_n that_o come_v within_o the_o centre_n of_o its_o sphere_n of_o activity_n though_o it_o be_v not_o improbable_a also_o but_o that_o as_o on_o some_o body_n it_o may_v have_v no_o effect_n at_o all_o no_o more_o than_o the_o loadstone_n which_o act_v on_o iron_n have_v upon_o a_o bar_n of_o tin_n lead_v glass_n wood_n etc._n etc._n so_o on_o other_o body_n it_o may_v have_v a_o clean_a contrary_a effect_n that_o be_v of_o protrusion_n thrust_v off_o or_o drive_v away_o as_o we_o find_v one_o pole_n of_o the_o magnet_n do_v the_o end_n of_o a_o needle_n touch_v on_o the_o opposite_a part_n whence_o it_o be_v i_o conceive_v that_o the_o part_n of_o the_o body_n of_o this_o comet_n be_v confound_v or_o jumble_v as_o it_o be_v together_o and_o so_o the_o gravitating_a principle_n destroy_v become_v of_o other_o nature_n than_o they_o be_v before_o and_o so_o the_o body_n may_v cease_v to_o maintain_v its_o place_n in_o the_o universe_n where_o first_o it_o be_v place_v whence_o instead_o of_o continue_v to_o move_v round_o some_o central_a body_n whether_o sun_n or_o planet_n as_o it_o do_v whilst_o it_o maintain_v itself_o entire_a and_o so_o have_v its_o magnetical_a quality_n as_o i_o may_v so_o call_v it_o unconfound_v it_o now_o leave_v that_o circular_a way_n and_o by_o its_o motion_n which_o always_o tend_v to_o a_o straight_a line_n and_o will_v be_v so_o be_v it_o not_o bend_v into_o a_o curve_v by_o the_o attractive_a
virtue_n of_o the_o central_a body_n it_o fly_v away_o from_o its_o former_a centre_n by_o the_o tangent_fw-la line_n to_o the_o last_o place_n where_o it_o be_v before_o this_o confusion_n be_v cause_v in_o the_o body_n of_o it_o in_o this_o line_n it_o be_v probable_a it_o pass_v from_o one_o part_n of_o the_o heaven_n to_o another_o and_o so_o pass_v through_o the_o sphere_n of_o the_o activity_n of_o multitude_n of_o central_a body_n in_o the_o pass_n through_o which_o sphere_n it_o be_v not_o improbable_a that_o those_o part_n which_o by_o their_o dissolution_n be_v make_v of_o a_o nature_n differ_v from_o the_o body_n in_o the_o centre_n be_v rather_o expel_v from_o than_o attract_v towards_o it_o and_o so_o be_v by_o this_o dissolution_n rarify_v and_o loosen_v from_o the_o middle_n and_o by_o their_o act_n upon_o one_o another_o and_o dissolution_n of_o the_o aether_n make_v of_o another_o nature_n after_o they_o have_v every_o way_n disperse_v themselves_o to_o a_o 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not_o yet_o destroy_v and_o so_o retain_v somewhat_o of_o its_o gravitating_a principle_n yet_o i_o conceive_v that_o all_o those_o part_n of_o the_o comet_n which_o be_v thus_o wrought_v upon_o by_o the_o other_o and_o change_v into_o another_o state_n and_o be_v very_o much_o rarify_v and_o produce_v light_a be_v of_o a_o clean_a contrary_a nature_n and_o recede_v from_o the_o centre_n of_o the_o sun_n much_o after_o the_o same_o manner_n as_o we_o find_v any_o combustible_a body_n with_o we_o as_o coal_n etc._n etc._n where_o we_o find_v that_o the_o body_n of_o the_o coal_n before_o it_o be_v resolve_v into_o smoke_n be_v a_o very_a dense_n and_o very_o heavy_a body_n and_o tend_v to_o the_o centre_n of_o the_o earth_n but_o the_o part_n thereof_o agitate_a by_o the_o air_n and_o aether_n into_o steam_n and_o smoke_n and_o those_o yet_o far_a dissolve_v into_o flame_n do_v tend_v upward_o and_o from_o the_o centre_n of_o the_o earth_n now_o though_o one_o cause_n of_o the_o recess_n of_o flame_n from_o the_o centre_n of_o the_o earth_n be_v the_o gravity_n of_o the_o ambient_fw-la air._n yet_o it_o be_v not_o impossible_a but_o that_o there_o may_v be_v somewhat_o also_o of_o positive_a levity_n conjoin_v therewith_o most_o certain_a it_o be_v that_o there_o must_v be_v a_o tendency_n of_o recede_v as_o well_o as_o a_o tendency_n of_o approach_v the_o centre_n of_o the_o earth_n and_o other_o attract_v body_n and_o there_o may_v be_v much_o say_v for_o the_o supposition_n that_o the_o recess_n of_o the_o pure_a aether_n from_o the_o centre_n be_v the_o cause_n of_o the_o motion_n of_o the_o grosser_n aether_n and_o of_o all_o other_o body_n towards_o it_o though_o there_o be_v also_o very_o considerable_a argument_n against_o it_o but_o this_o discourse_n be_v not_o my_o present_a business_n though_o it_o may_v hereafter_o be_v the_o subject_n of_o a_o lecture_n in_o this_o place_n for_o upon_o it_o do_v depend_v some_o of_o the_o great_a operation_n in_o the_o universe_n and_o as_o in_o the_o history_n of_o the_o creation_n we_o have_v a_o account_n of_o the_o production_n of_o light_n immediate_o after_o the_o make_n of_o matter_n which_o be_v a_o motion_n of_o recess_n from_o the_o centre_n of_o the_o shine_a body_n next_o that_o a_o firmament_n which_o divide_v between_o the_o water_n or_o the_o fluid_n of_o the_o one_o and_o the_o fluid_n of_o another_o part_n of_o the_o world_n and_o in_o the_o three_o place_n the_o collection_n of_o particular_a fluid_n to_o one_o centre_n as_o the_o centre_n of_o the_o earth_n and_o last_o out_o of_o that_o collection_n of_o fluid_n appear_v the_o dry_a and_o solid_a land_n so_o i_o conceive_v the_o most_o proper_a way_n of_o speculate_v on_o these_o great_a production_n of_o the_o omnipotent_a creator_n may_v be_v to_o begin_v with_o the_o consideration_n of_o light_n or_o the_o motion_n of_o recess_n from_o the_o centre_n of_o a_o body_n next_o with_o the_o consideration_n of_o the_o cause_n of_o the_o separate_n of_o fluid_a from_o fluid_fw-la as_o aether_n from_o aether_n as_o i_o may_v so_o call_v differ_v aether_n because_o we_o have_v not_o yet_o distinct_a name_n in_o use_n and_o the_o reason_n of_o their_o conglobation_n the_o aether_n from_o the_o air_n the_o air_n from_o the_o water_n the_o water_n from_o quicksilver_n oil_n or_o other_o fluid_a three_o the_o cause_n of_o the_o conglobate_v property_n of_o each_o of_o these_o fluid_n when_o separate_v how_o they_o accept_v and_o embrace_v homogenea_n and_o reject_v or_o expel_v heterogenea_n and_o fourthly_a how_o they_o condense_a and_o settle_v together_o and_o produce_v a_o solid_a body_n whence_o proceed_v the_o confirmation_n of_o attraction_n or_o gravitation_n etc._n etc._n but_o to_o digress_v no_o further_o but_o conclude_v this_o part_n of_o enquiry_n in_o short_a i_o suppose_v the_o nucleus_n or_o star_n of_o the_o comet_n may_v be_v much_o of_o the_o like_a nature_n with_o the_o central_a part_n of_o 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parallax_n of_o divers_a minute_n but_o whereas_o i_o can_v not_o certain_o distinguish_v any_o sensible_a at_o all_o it_o must_v be_v many_o time_n high_o than_o the_o moon_n now_o that_o this_o way_n be_v abundant_o to_o be_v prefer_v before_o a_o observation_n make_v with_o a_o quadrant_n for_o the_o take_n of_o its_o altitude_n be_v pretty_a evident_a because_o by_o this_o mean_v the_o great_a part_n of_o the_o irregularity_n cause_v by_o the_o refraction_n or_o inflection_n of_o the_o air_n be_v remove_v for_o by_o this_o mean_n though_o the_o parallax_n be_v very_o large_a yet_o the_o refraction_n or_o inflection_n of_o the_o air_n will_v not_o amount_v to_o many_o second_o both_o the_o object_n be_v almost_o equal_o raise_v by_o refraction_n especial_o when_o 5_o or_o 10_o degree_n high_a near_o than_o which_o the_o small_a star_n vanish_v out_o of_o sight_n by_o the_o thickness_n of_o our_o air_n it_o follow_v therefore_o that_o a_o semidiameter_n of_o the_o earth_n must_v be_v a_o very_a inconsiderable_a measure_n in_o its_o distance_n this_o part_n therefore_o of_o the_o theory_n of_o comet_n have_v be_v much_o defective_a hitherto_o if_o we_o inquire_v the_o parallax_n of_o they_o from_o the_o observation_n of_o divers_a man_n make_v in_o differ_v place_n we_o shall_v find_v they_o so_o differ_v one_o from_o another_o that_o there_o be_v great_a reason_n to_o suspect_v they_o all_o nay_o not_o only_o so_o but_o in_o this_o comet_n of_o 1664._o by_o compare_v two_o table_n or_o chart_n of_o the_o star_n and_o constellation_n of_o that_o part_n of_o the_o heaven_n through_o which_o the_o comet_n past_a on_o which_o be_v also_o mark_v out_o its_o way_n and_o place_n from_o day_n to_o day_n both_o of_o they_o print_v from_o copper_n plate_n i_o find_v that_o strange_a error_n and_o mistake_n may_v be_v create_v notwithstanding_o all_o the_o author_n thor_n care_v and_o accurateness_n possible_a from_o the_o carelessness_n or_o neglect_n of_o the_o grave_a 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differ_v considerable_o from_o the_o place_n of_o it_o assign_v by_o riccioli_n and_o grimaldi_n according_a to_o who_o observation_n it_o shall_v be_v in_o 31._o ji′_n south_n latitude_n and_o 12°_n ji′_n 40″_n two_o in_o longitude_n now_o if_o there_o be_v these_o difference_n to_o be_v remark_v in_o the_o observation_n of_o one_o we_o can_v but_o expect_v that_o much_o more_o disagreement_n shall_v be_v find_v between_o those_o which_o have_v be_v make_v by_o differ_v person_n in_o differ_v place_n and_o with_o differ_v way_n and_o differ_v instrument_n and_o upon_o examination_n i_o have_v find_v it_o no_o better_o for_o from_o compare_v such_o observation_n as_o i_o have_v receive_v from_o several_a part_n of_o the_o world_n even_o of_o those_o which_o have_v seem_v more_o than_o ordinary_o exact_a i_o find_v they_o for_o the_o most_o part_n so_o unaccurate_a that_o though_o they_o sufficient_o manifest_v that_o the_o comet_n of_o 1664._o which_o last_v above_o four_o month_n be_v 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some_o few_o such_o as_o mr._n hevelius_n mr._n aurout_n p._n gottignies_n etc._n etc._n true_o diligent_a and_o accurate_a man_n the_o great_a the_o collection_n of_o observation_n be_v the_o more_o trouble_n and_o difficulty_n be_v create_v to_o the_o examiner_n they_o not_o only_o confound_v one_o another_o but_o perplex_v those_o also_o which_o be_v real_a and_o perfect_a now_o the_o reason_n or_o cause_n of_o these_o inconvenience_n seem_v to_o be_v these_o first_o the_o want_n of_o accurate_a and_o know_a observator_n second_o the_o scarcity_n of_o convenient_a instrument_n three_o the_o imperfection_n of_o the_o table_n of_o the_o fix_a star_n for_o the_o observator_n it_o be_v not_o enough_o to_o know_v how_o to_o manage_v a_o instrument_n or_o to_o have_v a_o good_a eye_n or_o a_o dextrous_a and_o steady_a hand_n but_o with_o these_o there_o must_v be_v join_v a_o skilfulness_n in_o the_o theorical_a and_o speculative_a part_n and_o add_v to_o all_o a_o love_n and_o delight_n in_o the_o thing_n itself_o and_o even_o all_o these_o will_v signify_v but_o little_a without_o convenient_a and_o accurate_a instrument_n such_o as_o may_v be_v easy_o manageable_a and_o sufficient_o exact_v the_o first_o of_o these_o the_o love_n of_o the_o study_n be_v in_o itself_o the_o most_o excellent_a or_o the_o encouragement_n of_o prince_n nobleman_n and_o other_o patron_n of_o this_o learning_n must_v procure_v and_o where_o both_o of_o these_o concur_v thence_o most_o be_v to_o be_v expect_v and_o most_o fruit_n have_v hitherto_o be_v proceed_v though_o there_o be_v not_o want_v divers_a eminent_a instance_n where_o the_o first_o reason_n have_v be_v the_o only_a inducement_n as_o to_o the_o second_o i_o have_v already_o in_o some_o of_o my_o former_a lecture_n describe_v several_a convenient_a one_o for_o these_o purpose_n and_o therefore_o i_o shall_v not_o here_o add_v any_o more_o concern_v
from_o several_a part_n this_o orb_n perpendicular_o be_v let_v fall_n upon_o the_o plain_a of_o the_o ecliptic_a those_o perpendicular_o shall_v fall_v in_o a_o ellipsis_n part_v whereof_o shall_v fall_v within_o the_o orb_n of_o the_o earth_n in_o ♌_o and_o the_o opposite_a without_o the_o orb_n of_o ♃_o â™’_o that_o the_o comet_n move_v a_o sextant_a of_o this_o orb_n in_o about_o 130_o day_n and_o consequent_o if_o its_o motion_n shall_v continue_v the_o same_o in_o such_o a_o circle_n it_o will_v appear_v about_o february_n march_n or_o april_n 1667._o but_o be_v so_o far_o remove_v towards_o the_o south_n pole_n will_v here_o hardly_o be_v see_v but_o by_o those_o that_o live_v towards_o the_o south_n it_o may_v appear_v to_o have_v some_o such_o motion_n by_o the_o south_n pole_n as_o that_o of_o 1618._o have_v by_o the_o north._n and_o it_o be_v not_o impossible_a but_o that_o the_o comet_n of_o 1618._o may_v be_v the_o same_o with_o this_o if_o we_o suppose_v the_o nodes_fw-la of_o it_o to_o have_v a_o motion_n contrary_n to_o the_o order_n of_o sign_n and_o that_o the_o same_o node_n which_o in_o this_o comet_n according_a to_o this_o supposition_n be_v in_o ♊_o be_v then_o about_o â™_o or_o â™_o but_o these_o as_o conjecture_n i_o shall_v not_o insist_v on_o because_o neither_o in_o this_o nor_o in_o that_o have_v we_o observation_n sufficient_o accurate_a to_o build_v any_o theory_n upon_o now_o though_o upon_o these_o supposition_n the_o motion_n and_o appearance_n of_o the_o comet_n seem_v to_o be_v very_o regular_o and_o very_o natural_o make_v out_o yet_o it_o be_v not_o the_o only_a hypothesis_n for_o that_o design_n nor_o do_v i_o believe_v it_o so_o evident_a a_o demonstration_n for_o that_o end_n as_o some_o will_v suppose_v though_o for_o other_o reason_n i_o be_o apt_a enough_o to_o think_v that_o opinion_n of_o the_o earth_n motion_n very_o probable_a but_o the_o motion_n of_o this_o comet_n be_v so_o well_o make_v out_o by_o the_o contrary_a 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equal_a time_n we_o shall_v find_v i_o say_v all_o the_o appearance_n most_o exact_o solve_v and_o indeed_o much_o more_o exact_o than_o by_o the_o other_o supposition_n i_o be_v able_a to_o find_v any_o for_o by_o this_o supposition_n both_o the_o magnitude_n longitude_n latitude_n retrogradation_n station_n and_o direction_n of_o the_o comet_n be_v most_o exact_o make_v out_o as_o any_o one_o may_v have_v find_v that_o shall_v have_v by_o this_o mean_v examine_v with_o i_o the_o observation_n i_o have_v hitherto_o either_o make_v or_o meet_v with_o and_o indeed_o all_o the_o observation_n hitherto_o have_v so_o well_o answer_v this_o hypothesis_n that_o i_o do_v almost_o promise_v myself_o to_o be_v able_a to_o see_v this_o comet_n a_o month_n or_o six_o week_n hence_o after_o the_o sun_n have_v pass_v by_o it_o if_o by_o its_o exceed_a elongation_n it_o be_v not_o quite_o grow_v out_o of_o sight_n as_o it_o be_v now_o indeed_o already_o so_o exceed_v dim_a and_o faint_a that_o it_o 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be_v suppose_v either_o near_o or_o far_o from_o the_o earth_n at_o any_o distance_n which_o be_v not_o contradict_v by_o a_o diurnal_a parallax_n that_o be_v it_o may_v be_v suppose_v either_o above_o saturn_n or_o below_o the_o moon_n or_o in_o any_o place_n between_o by_o suppose_v only_o that_o the_o far_o the_o near_o part_n of_o the_o circle_n be_v distant_a from_o the_o earth_n the_o great_a must_v that_o circle_n be_v and_o the_o swift_a the_o motion_n of_o the_o comet_n in_o it_o to_o prove_v which_o affirmation_n let_v in_o the_o eight_o figure_n a_o be_v the_o earth_n bcd_v the_o orb_n of_o the_o comet_n suppose_v very_o near_o the_o earth_n and_o e_o f_o g_o the_o orb_n of_o it_o suppose_v at_o a_o great_a distance_n let_v h_n be_v the_o centre_n of_o b_o c_o d_o and_o i_o of_o e_o f_o g_o and_o let_v a_o c_o be_z to_z c_o h_n as_o a_o f_o to_o f_o i_o all_o the_o line_n draw_v from_o the_o point_n a_o so_o as_o to_o cut_v the_o circle_n b_o c_o d_o and_o e_o f_o g_o shall_v divide_v those_o circle_n e_o f_o g_o and_o b_o c_o d_o into_o similar_v segment_n as_o let_v a_o b_o e_o be_v a_o line_n draw_v cut_v those_o circle_n in_o b_o and_o e_o i_o say_v the_o arch_n b_o c_o shall_v be_v similar_v to_o e_o f._n in_o which_o hypothesis_n if_o we_o have_v together_o with_o the_o place_n of_o the_o comet_n when_o stationary_a the_o place_n of_o it_o when_o in_o its_o great_a celerity_n perige_n or_o the_o place_n of_o it_o when_o of_o the_o same_o celerity_n on_o each_o side_n of_o its_o perige_n we_o have_v from_o thence_o the_o proportion_n of_o the_o radius_fw-la of_o its_o orb_n to_o the_o perigean_n distance_n and_o consequent_o all_o the_o other_o distance_n the_o line_n in_o which_o it_o appear_v when_o stationary_a be_v the_o tangent_fw-la to_o the_o circle_n in_o which_o it_o move_v as_o a_o b_o e_o to_o which_o a_o perpendicular_a raise_v at_o b_o b_o e_o and_o produce_v till_o it_o cut_v the_o line_n a_o c_o produce_v at_o h_n h_n i_o it_o give_v the_o centre_n of_o its_o orb_n h_n h_o i_o and_o the_o proportion_n of_o the_o line_n a_o b_o ac_fw-la b_o h_o =_o h_o c_o or_o of_o a_o e_o a_o f_o e_o i_o =_o f_o i_o the_o angle_n b_o a_o c_o be_v give_v by_o observation_n so_o that_o by_o this_o hypothesis_n the_o phaenomena_n of_o the_o motion_n and_o bigness_n of_o the_o comet_n will_v be_v solve_v though_o suppose_v of_o any_o distance_n nor_o be_v these_o the_o only_a hypothesis_n by_o which_o the_o hitherto_o observe_v phaenomena_n may_v be_v solve_v for_o if_o we_o will_v admit_v a_o unequal_a motion_n such_o as_o be_v now_o grant_v to_o all_o the_o planet_n and_o if_o further_o we_o will_v admit_v it_o to_o be_v move_v in_o a_o elleipsis_n or_o other_o such_o like_o curve_v there_o may_v be_v divers_a other_o hypothesis_n that_o will_v solve_v the_o phaenomena_n so_o that_o the_o comet_n may_v be_v suppose_v to_o have_v no_o motion_n at_o all_o as_o to_o longitude_n but_o only_o as_o to_o latitude_n that_o be_v it_o may_v be_v suppose_v to_o be_v move_v in_o a_o elleipsis_n describe_v in_o a_o plain_a which_o shall_v be_v at_o right_a angle_n with_o the_o plain_a of_o the_o ecliptic_a and_o the_o way_n of_o the_o earth_n in_o it_o it_o may_v be_v suppose_v also_o to_o have_v be_v move_v direct_a according_a to_o the_o order_n of_o the_o sign_n that_o be_v to_o have_v be_v first_o about_o gemini_fw-la in_o respect_n of_o the_o sun_n and_o to_o be_v now_o in_o some_o part_n of_o leo_n and_o it_o be_v not_o impossible_a to_o solve_v the_o phaenomena_fw-la of_o its_o periodic_n or_o proper_a motion_n though_o it_o be_v suppose_v not_o so_o high_a as_o
the_o moon_n and_o that_o the_o motion_n of_o the_o earth_n pass_v by_o it_o do_v real_o alter_v its_o motion_n have_v there_o not_o be_v make_v some_o observation_n about_o the_o parallax_n of_o it_o which_o prove_v it_o high_o so_o that_o according_a to_o this_o or_o that_o hypothesis_n which_o we_o take_v the_o time_n of_o its_o return_n if_o permanent_a will_v be_v long_o or_o soon_o and_o these_o hypothesis_n may_v be_v so_o various_a that_o till_o regulate_v by_o very_o exact_a observation_n of_o the_o parallax_n it_o be_v not_o to_o be_v hope_v that_o the_o appearance_n of_o a_o comet_n can_v be_v certain_o predict_v so_o that_o i_o fear_v the_o prophetic_a say_n of_o seneca_n erit_fw-la qui_fw-la demonstret_fw-la aliquando_fw-la in_o quibus_fw-la cometae_fw-la partibus_fw-la errent_fw-la cur_n tam_fw-la seducti_fw-la à _fw-la caeteris_fw-la eant_fw-la quanti_fw-la qualesque_fw-la sint_fw-la will_v hardly_o be_v verify_v at_o this_o time_n by_o the_o help_n of_o this_o present_a comet_n though_o in_o truth_n i_o can_v find_v by_o the_o examination_n of_o several_a of_o they_o but_o that_o they_o all_o seem_v to_o promise_v very_o fair_o a_o return_n of_o it_o for_o all_o the_o calculation_n i_o have_v hitherto_o make_v of_o its_o motion_n seem_v to_o cast_v it_o into_o a_o circular_a and_o not_o a_o into_o straight_a line_n as_o kepler_n suppose_v and_o indeed_o upon_o examine_v even_o kepler_n own_o calculation_n of_o those_o comet_n which_o he_o observe_v and_o have_v endeavour_v to_o make_v to_o move_v in_o a_o straight_a line_n i_o can_v find_v that_o any_o of_o they_o will_v be_v find_v to_o move_v equal_o in_o such_o a_o line_n but_o to_o solve_v the_o appearance_n he_o be_v fain_o to_o make_v they_o move_v in_o such_o suppose_a straight_a line_n by_o a_o line_n of_o tangent_n that_o be_v to_o make_v the_o motion_n of_o comet_n accelerate_a the_o further_o they_o be_v move_v all_o which_o phaenomena_n may_v be_v very_o easy_o solve_v by_o suppose_v they_o to_o have_v move_v equal_a space_n in_o a_o curve_v or_o circle_v the_o physical_a reason_n indeed_o seem_v pretty_a difficult_a by_o what_o mean_v it_o shall_v be_v confine_v or_o bind_v so_o as_o to_o move_v in_o a_o circle_n but_o this_o be_v no_o more_o than_o be_v usual_o suppose_v in_o all_o the_o planet_n and_o without_o suppose_v a_o kind_n of_o gravitation_n throughout_o the_o whole_a vortice_fw-la or_o coelum_fw-la of_o the_o sun_n by_o which_o the_o planet_n be_v attract_v or_o have_v a_o tendency_n towards_o the_o sun_n as_o terrestrial_a body_n have_v towards_o the_o centre_n of_o the_o earth_n i_o can_v imagine_v how_o their_o various_a motion_n can_v with_o any_o satisfaction_n be_v imagine_v but_o that_o be_v grant_v for_o which_o have_v i_o now_o time_n i_o can_v allege_v many_o reason_n and_o may_v do_v it_o hereafter_o on_o another_o occasion_n not_o only_o the_o reason_n of_o all_o the_o irregular_a motion_n of_o the_o planet_n may_v be_v easy_o find_v but_o the_o reason_n also_o of_o the_o strange_a and_o various_a motion_n of_o the_o comet_n the_o reason_n why_o its_o beard_n be_v for_o the_o most_o part_n opposite_a to_o the_o sun_n which_o be_v another_o query_n of_o which_o i_o have_v already_o say_v somewhat_o of_o my_o supposition_n and_o shall_v now_o add_v that_o the_o bright_a spot_n or_o kernel_n in_o the_o middle_n do_v seem_v to_o be_v some_o kind_n of_o body_n which_o though_o it_o be_v not_o actual_o burn_v may_v yet_o by_o the_o encompass_v fluid_a aether_n be_v dissolve_v and_o waste_v and_o those_o dissolve_a part_n may_v ascend_v upward_o or_o from_o the_o centre_n of_o the_o sun_n which_o seem_v indeed_o to_o be_v the_o centre_n of_o gravitation_n throughout_o the_o whole_a system_a of_o it_o to_o illustrate_v which_o explication_n i_o can_v produce_v several_a experiment_n which_o will_v make_v a_o perfect_a representation_n of_o the_o phaenomena_fw-la of_o the_o body_n and_o beard_n of_o the_o comet_n i_o shall_v only_o instance_n in_o one_o take_v a_o very_a clear_a long_o cylindrical_a glass_n which_o may_v hold_v about_o a_o quart_n of_o water_n fill_v it_o three_o quarter_n full_a with_o water_n and_o put_v into_o it_o a_o quarter_n of_o a_o pound_n of_o oil_n of_o vitriol_n and_o in_o the_o midst_n of_o this_o suspend_v by_o a_o small_a silver_n wire_n a_o small_a wax-ball_n roll_v in_o file_n of_o iron_n or_o steel_n and_o you_o may_v plain_o observe_v a_o perfect_a representation_n of_o the_o head_n halo_n and_o beard_n of_o the_o comet_n for_o the_o menstruum_fw-la fall_v on_o or_o dissolve_v the_o iron_n there_o be_v a_o continual_a eruption_n of_o small_a bubble_n and_o dissolve_v particle_n from_o all_o the_o side_n of_o this_o body_n and_o after_o the_o eruption_n they_o all_o afcend_v upward_o from_o the_o centre_n of_o the_o earth_n for_o be_v of_o a_o much_o light_a consistence_n than_o the_o anbient_a liquor_n they_o be_v by_o the_o great_a gravity_n of_o that_o continual_o protrude_v upward_o the_o same_o appearance_n may_v be_v make_v with_o any_o kind_n of_o menstruum_fw-la and_o a_o convenient_a dissoluble_a body_n suspend_v in_o it_o so_o that_o if_o we_o suppose_v the_o aether_n to_o be_v somewhat_o analogous_a to_o a_o menstruum_fw-la and_o that_o there_o be_v a_o gravitation_n towards_o the_o centre_n of_o the_o sun_n if_o the_o nucleus_n or_o head_n of_o the_o comet_n be_v suppose_v such_o a_o dissoluble_a substance_n the_o phaenomena_fw-la of_o the_o shape_n of_o the_o comet_n may_v i_o think_v be_v rational_o explain_v now_o that_o the_o aether_n may_v have_v such_o a_o kind_n of_o propriety_n seem_v to_o i_o to_o be_v argue_v from_o this_o that_o the_o air_n about_o the_o earth_n seem_v to_o owe_v its_o original_n to_o it_o it_o be_v only_o a_o dissolution_n of_o terrestrial_a body_n into_o the_o aether_n the_o aether_n be_v the_o principal_a fluid_a body_n and_o great_a part_n of_o this_o dissolution_n and_o the_o substance_n of_o the_o air_n some_o very_a few_o and_o small_a saline_n and_o earthy_a particle_n of_o which_o elsewhere_o by_o this_o hypothesis_n the_o phaenomena_fw-la of_o the_o comet_n may_v be_v solve_v for_o hence_o it_o be_v easy_a to_o deduce_v the_o reason_n why_o the_o beard_n grow_v broad_a and_o broad_a and_o faint_a and_o faint_a towards_o the_o top_n why_o there_o be_v a_o halo_n about_o the_o body_n for_o this_o will_v appear_v clear_o in_o the_o experiment_n why_o the_o beard_n become_v a_o little_a deflect_v from_o the_o body_n of_o the_o sun_n for_o if_o the_o dissolve_v ball_n be_v by_o the_o wire_n move_v either_o this_o way_n or_o that_o way_n the_o arise_v stream_n or_o bubble_n will_v bend_v the_o contrary_a and_o to_o countenance_v this_o supposition_n both_o in_o those_o comet_n observe_v by_o tycho_n kepler_n and_o also_o in_o this_o last_o the_o beard_n be_v contrary_a to_o the_o motion_n so_o that_o the_o head_n or_o body_n go_v fast_o seem_v to_o leave_v the_o beard_n or_o tail_n somewhat_o behind_o by_o this_o supposition_n also_o it_o will_v be_v easy_a to_o explicate_v why_o the_o beard_n be_v sometime_o bend_a and_o not_o straight_o and_o why_o it_o be_v sometime_o bright_a upon_o one_o side_n than_o upon_o another_o why_o the_o bottom_n of_o it_o be_v more_o round_o and_o the_o other_o side_n more_o undesined_a and_o divers_a of_o the_o like_o phaenomena_fw-la against_o this_o supposition_n it_o seem_v difficult_a to_o conceive_v whence_o so_o vast_a a_o body_n shall_v be_v generate_v next_o how_o it_o shall_v be_v able_a to_o supply_v such_o a_o constant_a stream_n of_o ascend_a part_n and_o yet_o last_v so_o long_o as_o this_o have_v do_v almost_o a_o quarter_n of_o a_o year_n three_o whence_o such_o a_o new_o generate_v body_n shall_v receive_v so_o great_a a_o degree_n of_o motion_n in_o answer_n to_o which_o i_o say_v it_o be_v not_o impossible_a but_o that_o the_o body_n of_o it_o may_v be_v as_o old_a as_o the_o world_n and_o that_o it_o may_v have_v then_o receive_v its_o first_o determination_n or_o law_n of_o motion_n and_o may_v have_v ever_o since_o preserve_v they_o that_o it_o may_v have_v be_v all_o this_o time_n also_o in_o dissolution_n and_o yet_o not_o be_v quite_o waste_v and_o that_o it_o may_v continue_v yet_o for_o many_o age_n before_o it_o be_v quite_o dissolve_v into_o the_o aether_n and_o to_o make_v this_o probable_a divers_a experiment_n and_o reason_n may_v be_v allege_v as_o that_o of_o the_o slowness_n of_o the_o waste_n of_o many_o body_n by_o the_o dissolution_n make_v on_o they_o by_o the_o fire_n the_o slowness_n also_o of_o the_o dissolution_n of_o multitude_n of_o body_n in_o menstruum_n and_o i_o have_v already_o show_v how_o small_a a_o quantity_n of_o dissolve_a particle_n will_v be_v able_a to_o make_v as_o great_a a_o show_n of_o light_n beside_o that_o
the_o motion_n of_o the_o ascend_a stream_n or_o beard_n be_v but_o slow_a there_o need_v no_o very_a quick_a supply_n of_o other_o part_n we_o see_v also_o into_o what_o a_o vast_a quantity_n of_o smoke_n a_o small_a parcel_n of_o a_o combustible_a body_n may_v be_v turn_v from_o all_o which_o particular_n it_o be_v not_o unlikely_a but_o that_o the_o comet_n may_v be_v a_o body_n move_v with_o a_o regular_a circular_a or_o elliptical_a motion_n as_o the_o planet_n be_v that_o it_o may_v be_v a_o body_n of_o such_o a_o constitution_n as_o that_o the_o fluid_a aether_n through_o which_o it_o pass_v may_v dissolve_v it_o much_o after_o the_o manner_n as_o a_o meâ—struum_fw-la such_o as_o aquafortis_n spirit_n of_o niter_n etc._n etc._n do_v a_o dissoluble_a body_n that_o by_o this_o mean_n there_o may_v be_v a_o slow_a but_o continual_a eruption_n of_o somewhat_o opacous_a part_n which_o may_v by_o their_o dissolution_n afford_v a_o sufficient_a quantity_n of_o light_a to_o make_v as_o great_a a_o appearance_n as_o any_o of_o the_o comet_n that_o this_o stream_n or_o beard_n may_v by_o the_o resistance_n of_o the_o aether_n be_v a_o little_a deflected_a back_n ward_n in_o the_o same_o manner_n as_o a_o ascend_a stream_n of_o smoke_n will_v be_v by_o the_o resistance_n of_o the_o air_n if_o the_o burn_a body_n be_v move_v this_o or_o that_o way_n through_o it_o that_o the_o body_n of_o the_o comet_n may_v be_v both_o as_o ancient_a and_o as_o lasting_a as_o the_o world_n and_o that_o this_o which_o have_v late_o appear_v may_v have_v appear_v heretofore_o and_o may_v likewise_o hereafter_o appear_v again_o that_o it_o be_v probable_a the_o near_a distance_n of_o it_o be_v much_o great_a than_o that_o of_o the_o moon_n that_o the_o length_n of_o its_o beard_n be_v long_o than_o its_o distance_n from_o the_o earth_n and_o consequent_o several_a time_n long_o than_o the_o distance_n between_o the_o earth_n and_o the_o moon_n that_o its_o visible_a way_n among_o the_o star_n be_v very_o differ_v from_o a_o great_a circle_n especial_o towards_o the_o latter_a end_n when_o it_o become_v retrograde_a that_o its_o way_n through_o the_o aether_n can_v not_o be_v suppose_v equal_a in_o a_o straight_a line_n though_o it_o may_v be_v suppose_v equal_a in_o a_o curve_v or_o circle_n that_o the_o exact_a way_n of_o it_o can_v not_o be_v certain_o determine_v by_o the_o best_a observation_n i_o have_v yet_o meet_v with_o and_o that_o therefore_o the_o best_a help_n we_o have_v to_o guess_v of_o its_o way_n and_o distance_n be_v by_o its_o manner_n of_o move_v as_o to_z appearance_n among_o the_o fix_a star_n which_o i_o have_v already_o show_v to_o be_v explicable_a by_o various_a hypothesis_n for_o both_o the_o earth_n and_o comet_n may_v be_v suppose_v to_o be_v move_v either_o both_o one_o way_n or_o contrary_a way_n or_o cross_a way_n the_o earth_n may_v be_v suppose_v to_o stand_v still_o and_o the_o comet_n only_o to_o be_v move_v and_o the_o like_a these_o requisite_n therefore_o be_v hitherto_o want_v in_o the_o observation_n i_o have_v meet_v with_o of_o this_o comet_n all_o that_o can_v be_v say_v of_o it_o will_v at_o best_a be_v but_o conjectural_a and_o hypothetical_a since_o nothing_o can_v be_v reasonable_o build_v upon_o those_o observation_n where_o the_o truth_n of_o they_o be_v dubious_a want_v therefore_o sound_a material_n to_o work_v upon_o in_o this_o comet_n i_o have_v recourse_n to_o the_o observation_n of_o the_o noble_a dane_n tycho_n brahe_n be_v sufficient_o satisfy_v both_o of_o the_o ability_n industry_n and_o veracity_n of_o that_o excellent_a author_n who_o leave_v nothing_o unattempted_a for_o the_o perfect_a of_o such_o observation_n as_o seem_v to_o he_o requisite_a for_o the_o complete_n a_o history_n of_o that_o comet_n which_o appear_v in_o 1577._o and_o from_o those_o observation_n of_o his_o i_o endeavour_v to_o trace_v the_o way_n of_o it_o according_a to_o several_a hypothesis_n and_o find_v that_o suppose_v the_o earth_n not_o to_o be_v move_v with_o a_o annual_a motion_n but_o only_o a_o diurnal_a about_o its_o own_o axis_n the_o way_n of_o comet_n will_v fall_v in_o a_o line_n very_o near_o approach_v the_o nature_n of_o a_o circle_n though_o neither_o into_o a_o exact_a circle_n nor_o a_o exact_a ellipse_n and_o therefore_o seem_v irregular_a and_o not_o at_o all_o probable_a again_o suppose_v it_o move_v about_o the_o sun_n as_o tycho_n have_v do_v we_o find_v from_o his_o calculation_n of_o it_o he_o be_v fain_o to_o allow_v it_o a_o quick_a and_o slow_a motion_n in_o its_o orbit_n to_o solve_v the_o phaenomena_n which_o seem_v to_o i_o but_o a_o shift_n that_o will_v serve_v to_o help_v out_o any_o lame_a hypothesis_n whatsoever_o and_o that_o grant_v and_o the_o parallax_n of_o the_o comet_n unknown_a i_o will_v undertake_v very_o easy_o to_o make_v out_o almost_o any_o hypothesis_n which_o be_v the_o fault_n also_o of_o mr._n horox_n his_o hypothesis_n wherein_o he_o suppose_v the_o earth_n to_o be_v move_v about_o the_o sun_n and_o the_o comet_n like_o a_o rocket_n to_o be_v shoot_v out_o of_o the_o sun_n and_o by_o degree_n to_o return_v to_o it_o again_o in_o which_o hypothesis_n indeed_o there_o seem_v to_o be_v much_o more_o reason_n for_o aninequality_n of_o motion_n though_o not_o in_o the_o manner_n as_o he_o have_v place_v it_o it_o be_v very_o rational_a that_o the_o motion_n of_o it_o at_o first_o if_o cast_v out_o of_o the_o sun_n shall_v be_v very_o swift_a but_o than_o it_o ought_v likewise_o to_o have_v accelerate_a its_o motion_n in_o the_o same_o manner_n in_o its_o return_n back_o to_o it_o again_o which_o it_o do_v not_o in_o his_o hypothesis_n for_o a_o stone_n or_o any_o other_o heavy_a body_n be_v shoot_v up_o into_o the_o air_n do_v make_v its_o return_n back_o again_o to_o the_o earth_n almost_o by_o the_o same_o degree_n of_o velocity_n by_o which_o it_o ascend_v from_o it_o almost_o i_o say_v because_o the_o resistance_n of_o the_o air_n do_v so_o far_a impede_fw-la the_o motion_n of_o the_o body_n through_o it_o that_o it_o never_o suffer_v it_o to_o acquire_v the_o same_o degree_n of_o velocity_n with_o which_o it_o be_v first_o shoot_v upward_o this_o be_v sufficient_o evident_a from_o a_o pendulum_n which_o if_o it_o be_v throw_v upward_o and_o be_v suffer_v to_o return_v back_o it_o will_v never_o rise_v again_o on_o the_o opposite_a side_n to_o a_o equal_a height_n with_o that_o it_o descend_v from_o on_o that_o side_n towards_o which_o it_o be_v throw_v but_o beside_o in_o his_o hypothesis_n he_o seem_v to_o take_v no_o notice_n at_o all_o of_o the_o latitude_n of_o the_o comet_n which_o seem_v to_o carry_v it_o much_o far_o off_o from_o the_o sun_n when_o he_o suppose_v it_o to_o be_v return_v near_o and_o indeed_o upon_o the_o whole_a his_o hypothesis_n seem_v rather_o a_o product_n of_o chance_n than_o of_o any_o contrivance_n for_o he_o in_o endeavour_v to_o set_v off_o the_o longitude_n of_o the_o comet_n according_a to_o tycho_n table_n and_o to_o trace_v its_o way_n by_o suppose_v the_o earth_n annual_a motion_n make_v use_n always_o of_o the_o same_o radius_fw-la to_o set_v off_o the_o aspect_n or_o apparent_a angle_n of_o it_o with_o the_o sun_n his_o line_n of_o chord_n he_o make_v use_v of_o do_v always_o direct_a the_o point_n of_o his_o compass_n to_o the_o place_n where_o he_o situate_v the_o comet_n as_o may_v be_v easy_o find_v by_o examine_v the_o nine_o figure_n where_o you_o may_v find_v that_o he_o place_v the_o comet_n always_o equal_o distant_a from_o the_o earth_n and_o that_o distance_n be_v always_o equal_a to_o the_o distance_n of_o the_o sun_n which_o have_v so_o many_o inconvenience_n and_o improbability_n that_o i_o shall_v not_o insist_v far_o on_o it_o especial_o since_o i_o do_v not_o find_v that_o he_o bestow_v any_o far_a pain_n in_o explicate_v or_o cultivate_v this_o his_o hypothesis_n than_o only_o the_o bare_a delineation_n of_o this_o nine_o figure_n but_o to_o return_v to_o tycho_n hypothesis_n if_o that_o be_v true_a why_o do_v not_o the_o comet_n again_o appear_v after_o a_o certain_a space_n of_o time_n and_o why_o can_v not_o he_o have_v foretell_v when_o it_o shall_v again_o appear_v as_o well_o as_o he_o can_v predict_v the_o appearance_n of_o venus_n about_o who_o orb_n he_o suppose_v it_o to_o circulate_v i_o shall_v pass_v by_o several_a other_o very_a material_a objection_n that_o may_v be_v make_v against_o that_o his_o supposition_n because_o many_o of_o they_o may_v be_v make_v also_o against_o his_o hypothefis_n of_o the_o heaven_n in_o general_a which_o i_o shall_v the_o rather_o omit_v because_o i_o do_v not_o find_v he_o have_v many_o follower_n in_o that_o supposition_n the_o generality_n of_o
astronomer_n embrace_v rather_o the_o copernican_n system_n especial_o as_o it_o be_v refine_v and_o rectify_v by_o the_o ingenious_a kepler_n last_o i_o endeavour_v to_o trace_v the_o way_n of_o the_o comet_n from_o tycho_n table_n according_a to_o keplers_n hypothesis_n which_o be_v that_o the_o appearance_n of_o the_o motion_n of_o the_o comet_n be_v ascribable_a to_o two_o cause_n namely_o the_o motion_n of_o the_o earth_n about_o the_o sun_n in_o its_o annual_a orbit_n and_o the_o motion_n of_o the_o comet_n in_o a_o straight_a line_n not_o accelerate_a according_a to_o the_o proportion_n of_o the_o increase_n of_o tangent_n but_o upon_o supposition_n that_o it_o move_v equal_a space_n in_o equal_a time_n for_o i_o can_v imagine_v what_o reason_n he_o have_v to_o suppose_v its_o motion_n to_o be_v accelerate_a and_o much_o less_o why_o he_o shall_v assert_v it_o to_o be_v according_a to_o the_o proportion_n of_o tangent_n which_o in_o a_o little_a time_n must_v necessary_o come_v to_o move_v infinite_o swift_a than_o which_o nothing_o be_v more_o hard_a to_o be_v grant_v and_o i_o find_v it_o after_o many_o trial_n and_o essay_n to_o fall_v in_o a_o straight_a line_n incline_v to_o the_o plain_a of_o the_o ecliptic_a by_o anangle_n of_o 47.40_o and_o cut_v it_o in_o 9_o degree_n of_o scorpio_n if_o compute_v out_o of_o the_o sun_n and_o move_v fast_o by_o half_a than_o the_o earth_n in_o its_o orb_n and_o this_o to_o so_o great_a a_o exactness_n to_o answer_v all_o the_o observation_n of_o tycho_n that_o from_o a_o very_a large_a scheme_n which_o i_o draw_v of_o it_o on_o a_o plain_a i_o can_v never_o find_v many_o minute_n difference_n so_o that_o i_o conclude_v that_o to_o be_v the_o most_o likely_a hypothesis_n for_o that_o comet_n it_o seem_v to_o solve_v all_o the_o several_a phaenomena_n of_o the_o motion_n and_o magnitude_n of_o the_o comet_n with_o the_o least_o imaginable_a difficulty_n and_o to_o be_v most_o agreeable_a with_o my_o physical_a notion_n 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impediment_n of_o the_o fluid_a medium_n through_o which_o it_o pass_v and_o the_o attraction_n of_o the_o sun_n operate_a on_o it_o when_o its_o motion_n carry_v it_o far_o and_o far_o off_o from_o it_o beside_o it_o be_v not_o unlikely_a but_o that_o the_o attraction_n of_o the_o earth_n or_o some_o of_o the_o other_o planet_n may_v have_v some_o kind_n of_o influence_n on_o it_o especial_o when_o its_o line_n of_o direction_n do_v somewhat_o near_o approach_v those_o attractive_a point_n but_o the_o deslection_n from_o a_o straight_a line_n be_v always_o so_o much_o the_o less_o by_o how_o much_o the_o swift_a the_o body_n be_v move_v and_o by_o how_o much_o the_o far_o off_o its_o line_n of_o trajection_n be_v perpendicular_o distant_a from_o those_o attract_v body_n according_a to_o this_o supposition_n of_o i_o i_o have_v endeavour_v to_o make_v out_o all_o the_o appearance_n of_o this_o last_o comet_n take_v notice_n of_o in_o the_o best_a observation_n i_o have_v yet_o meet_v with_o among_o which_o i_o find_v no_o one_o of_o the_o parallax_n satisfactory_a as_o in_o the_o ten_o figure_n let_v s_n represent_v the_o sun_n o_o r_o b_o the_o orb_n of_o the_o earth_n a_o c_o d_o e_o f_o a_o bend_a or_o curve_v line_n in_o which_o the_o comet_n be_v suppose_v to_o move_v the_o comet_n then_o come_v into_o the_o sphere_n of_o the_o attractive_a power_n of_o the_o sun_n by_o the_o straight_a line_n p_o a_o g_o at_o a_o the_o power_n of_o the_o sun_n work_v on_o it_o and_o by_o degree_n attract_v it_o towards_o its_o own_o centre_n by_o that_o time_n the_o comet_n have_v move_v to_o c_o the_o attractive_a power_n have_v deflect_v its_o direct_a course_n from_o p_o a_o g_o to_z c_o h_n and_o so_o the_o comet_n will_v continue_v to_o move_v in_o that_o straight_a line_n c_o h_n but_o it_o be_v still_o deflect_v so_o that_o at_o d_o it_o move_v towards_o ay_o but_o the_o gravitation_n of_o the_o sun_n attract_v it_o deflect_v it_o from_o that_o line_n towards_o e_o and_o so_o from_o e_z to_o f_o when_o it_o begin_v again_o to_o jet_v out_o of_o the_o attractive_a beam_n of_o the_o sun_n and_o so_o it_o will_v continue_v to_o proceed_v as_o if_o it_o have_v come_v to_o that_o point_n by_o the_o line_n m_o f_o l_o the_o reason_n of_o which_o be_v the_o great_a velocity_n of_o these_o body_n which_o be_v general_o much_o swift_a in_o their_o motion_n than_o the_o earth_n or_o other_o planet_n be_v suppose_v to_o be_v in_o they_o we_o must_v seek_v out_o some_o other_o way_n therefore_o of_o find_v of_o the_o distance_n of_o comet_n than_o the_o common_o use_v i_o shall_v therefore_o somewhat_o further_o explain_v the_o contrivance_n i_o new_o invent_v for_o this_o purpose_n by_o which_o not_o only_o the_o parallax_n of_o the_o comet_n but_o of_o the_o planet_n also_o may_v be_v find_v with_o great_a facility_n and_o exactness_n have_v a_o large_a telescope_n prepare_v as_o i_o former_o direct_v with_o eye-glass_n capable_a of_o take_v in_o a_o angle_n of_o about_o two_o degree_n at_o once_o and_o furnish_v with_o a_o divide_v scale_n observe_v when_o the_o motion_n of_o the_o comet_n or_o planet_n be_v not_o too_o fast_o the_o position_n and_o distance_n of_o the_o small_a fix_a star_n which_o be_v next_o adjoin_v to_o the_o move_a body_n who_o parallax_n you_o will_v find_v of_o these_o small_a fix_a star_n you_o shall_v seldom_o miss_v a_o sufficient_a number_n which_o will_v be_v take_v into_o the_o glass_n at_o once_o if_o at_o least_o the_o object-glass_n be_v allow_v a_o very_a large_a aperture_n and_o have_v find_v such_o star_n as_o will_v be_v convenient_a for_o your_o purpose_n be_v very_o diligent_a in_o take_v by_o the_o help_n of_o the_o divide_v scale_n the_o exact_a distance_n of_o they_o one_o from_o a_o other_o and_o when_o the_o body_n be_v high_a above_o the_o horizon_n viz._n in_o or_o near_o the_o meridian_n by_o the_o same_o mean_n take_v the_o exact_a distance_n of_o it_o from_o two_o or_o three_o of_o the_o near_a and_o most_o conspicuous_a fix_a star_n about_o it_o and_o by_o the_o help_n of_o a_o plumb-line_n hang_v likewise_o within_o the_o cell_n near_o the_o divide_v ruler_n find_v exact_o the_o position_n of_o all_o those_o body_n you_o take_v notice_n of_o to_o the_o perpendicular_a or_o horizon_n which_o may_v be_v easy_o enough_o do_v if_o together_o with_o a_o plumb-line_n or_o perpendicular_a place_v within_o the_o glass_n you_o have_v also_o a_o small_a diagonal_a thread_n fasten_v to_o a_o ring_n who_o circumference_n be_v divide_v into_o 360_o degree_n and_o movable_a so_o as_o by_o the_o finger_n easy_o to_o be_v turn_v any_o way_n by_o which_o mean_v this_o diagonal_a thread_n may_v be_v make_v to_o cross_v over_o any_o two_o of_o the_o body_n you_o observe_v and_o by_o observe_v what_o division_n of_o this_o divide_a limb_n the_o perpendicular_a cut_n it_o will_v be_v easy_a to_o determine_v the_o exact_a position_n of_o those_o star_n to_o the_o horizon_n this_o same_o may_v be_v do_v by_o the_o divide_v scale_n also_o if_o that_o be_v fix_v in_o a_o divide_a circle_n which_o be_v movable_a in_o the_o same_o manner_n as_o the_o thread_n be_v suppose_v to_o be_v this_o observation_n with_o all_o other_o circumstance_n of_o it_o be_v likewise_o to_o be_v repeat_v at_o the_o set_n or_o rise_v of_o the_o planet_n or_o comet_n and_o again_o the_o next_o night_n when_o it_o come_v to_o the_o meridian_n and_o in_o each_o of_o those_o observation_n the_o exact_a time_n be_v to_o be_v note_v by_o a_o time-keeper_n and_o the_o altitude_n by_o some_o of_o those_o i_o have_v before_o describe_v for_o by_o compare_v these_o three_o observation_n together_o it_o will_v be_v very_o easy_a to_o find_v what_o
minute_n of_o time_n their_o motion_n be_v of_o such_o a_o velocity_n impress_v from_o the_o ambient_fw-la on_o the_o two_o extreme_a particle_n 1_o and_o 8._o first_o if_o by_o any_o external_a power_n on_o the_o two_o extreme_n 1_o and_o 8_o they_o be_v remove_v further_o asunder_o as_o to_o cd_o then_o shall_v all_o the_o vibrative_a particle_n be_v proportionable_o extend_v and_o the_o number_n of_o vibration_n and_o consequent_o of_o occursion_n be_v reciprocal_o diminish_v and_o consequent_o their_o endeavour_n of_o recede_v from_o each_o other_o be_v reciprocal_o diminish_v also_o for_o suppose_v this_o second_o dimension_n of_o length_n be_v to_o the_o first_o as_o 3_o to_o 2_o the_o length_n of_o the_o vibration_n and_o consequent_o of_o occursion_n be_v reciprocal_o diminish_v for_o whereas_o i_o suppose_v 1000000_o in_o a_o second_o of_o the_o former_a here_o can_v be_v but_o 666666_o in_o this_o and_o consequent_o the_o spring_n inward_a must_v be_v in_o proportion_n to_o the_o extension_n beyond_o its_o natural_a length_n second_o if_o by_o any_o external_a force_n the_o extreme_a particle_n be_v remove_v a_o three_o part_n near_o together_o than_o the_o external_a natural_a force_n be_v always_o the_o same_o both_o in_o this_o and_o the_o former_a instance_n which_o be_v the_o balance_n to_o it_o in_o its_o natural_a state_n the_o length_n of_o the_o vibration_n shall_v be_v proportionable_o diminish_v and_o the_o number_n of_o they_o and_o consequent_o of_o the_o occursion_n be_v reciprocal_o augment_v and_o instead_o of_o 1000000_o there_o shall_v be_v 1500000._o in_o the_o next_o place_n for_o fluid_fw-la body_n among_o which_o the_o great_a instance_n we_o have_v be_v air_n though_o the_o same_o be_v in_o some_o proportion_n in_o all_o other_o fluid_a body_n the_o air_n than_o be_v a_o body_n consist_v of_o particle_n so_o small_a as_o to_o be_v almost_o equal_a to_o the_o particle_n of_o the_o heterogeneous_a fluid_a medium_n encompass_v the_o earth_n it_o be_v bound_v but_o on_o one_o side_n namely_o towards_o the_o earth_n and_o be_v indefinite_o extend_v upward_o be_v only_o hinder_v from_o fly_v away_o that_o way_n by_o its_o own_o gravity_n the_o cause_n of_o which_o i_o shall_v some_o other_o time_n explain_v it_o consist_v of_o the_o same_o particle_n single_a and_o separate_v of_o which_o water_n and_o other_o fluid_n do_v conjoin_v and_o compound_v and_o be_v make_v of_o particle_n exceed_v small_a its_o motion_n to_o make_v its_o balance_n with_o the_o rest_n of_o the_o earthy_a body_n be_v exceed_v swift_a and_o its_o vibrative_a space_n exceed_v large_a comparative_a to_o the_o vibrative_a space_n of_o other_o terrestrial_a body_n i_o suppose_v that_o of_o the_o air_n next_o the_o earth_n in_o its_o natural_a state_n may_v be_v 8000_o time_n great_a than_o that_o of_o steel_n and_o above_o a_o thousand_o time_n great_a than_o that_o of_o common_a water_n and_o proportionable_o i_o suppose_v that_o its_o motion_n 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diminish_v that_o be_v if_o it_o be_v suffer_v to_o extend_v to_o twice_o its_o former_a dimension_n its_o vibration_n will_v be_v twice_o as_o long_o and_o the_o number_n of_o its_o vibration_n and_o occursion_n will_v be_v few_o by_o half_a and_o consequent_o its_o endeavour_n outward_a will_v be_v also_o weak_a by_o half_a these_o explanation_n will_v serve_v mutatis_fw-la mutandis_fw-la for_o explain_v the_o spring_n of_o any_o other_o body_n whatsoever_o it_o now_o remain_v that_o i_o show_v how_o the_o constitution_n of_o springy_a body_n be_v such_o the_o vibration_n of_o a_o spring_n or_o a_o body_n move_v by_o a_o spring_n equal_o and_o uniform_o shall_v be_v of_o equal_a duration_n whether_o they_o be_v great_a or_o less_o i_o have_v here_o already_o show_v then_o that_o the_o power_n of_o all_o spring_n be_v proportionate_a to_o the_o degree_n of_o flexure_n viz._n one_o degree_n of_o flexure_n or_o one_o space_n bend_v have_v one_o power_n two_o have_v two_o and_o three_o have_v three_o and_o so_o forward_o and_o every_o point_n of_o the_o space_n of_o flexure_n have_v a_o peculiar_a power_n and_o consequent_o there_o be_v infinite_a point_n of_o the_o space_n there_o must_v be_v infinite_a degree_n of_o power_n and_o consequent_o all_o those_o power_n begin_v from_o nought_o and_o end_v at_o the_o last_o degree_n of_o tension_n or_o bend_n add_v together_o into_o one_o sum_n or_o aggregate_v will_v be_v in_o duplicate_v proportion_n to_o the_o space_n bend_a or_o degree_n of_o flexure_n that_o be_v the_o aggregate_v of_o the_o power_n of_o the_o spring_n tend_v from_o its_o quiescent_n posture_n by_o all_o the_o intermediate_v point_n to_o one_o space_n be_v it_o what_o length_n you_o please_v be_v equal_a or_o in_o the_o same_o proportion_n to_o the_o square_n of_o one_o suppose_v the_o say_a space_n infinite_o divisible_a into_o the_o fraction_n of_o one_o to_o two_o be_v equal_a or_o in_o the_o same_o proportion_n to_o the_o square_n of_o two_o that_o be_v four_o to_o three_o be_v equal_a or_o in_o the_o same_o proportion_n to_o the_o square_n of_o three_o that_o be_v nine_o and_o so_o forward_o and_o consequent_o the_o aggregate_v of_o the_o first_o space_n will_v be_v one_o of_o the_o second_o space_n will_v be_v three_o of_o the_o three_o space_n will_v be_v five_o of_o the_o four_o will_v be_v seven_o and_o so_o onward_o in_o a_o arithmetical_a proportion_n be_v the_o degree_n or_o excess_n by_o which_o these_o aggregate_n exceed_v one_o another_o the_o spring_n therefore_o in_o return_v from_o any_o degree_n of_o flexure_n to_o which_o it_o have_v be_v bend_v by_o any_o power_n receive_v at_o every_o point_n of_o the_o space_n return_v a_o impulse_n equal_a to_o the_o power_n of_o the_o spring_n in_o that_o point_n of_o tension_n and_o in_o return_v the_o whole_a it_o receive_v the_o whole_a aggregate_v of_o all_o the_o force_n belong_v to_o the_o great_a degree_n of_o that_o tension_n from_o which_o it_o return_v so_o a_o spring_n bend_v two_o space_n in_o its_o return_n receive_v four_o degree_n of_o impulse_n that_o be_v three_o in_o the_o first_o space_n return_v and_o one_o in_o the_o second_o so_o bend_v three_o space_n it_o receive_v in_o its_o whole_a return_n nine_o degree_n of_o impulse_n that_o be_v five_o in_o the_o first_o space_n return_v three_o in_o the_o second_o and_o one_o in_o the_o three_o so_o bend_v ten_o space_n it_o receive_v in_o its_o whole_a return_n one_o hundred_o degree_n of_o impulse_n to_o wit_n nineteen_o in_o the_o first_o seventeen_o in_o the_o second_o fifteen_o in_o the_o three_o thirteen_o in_o the_o four_o eleven_o in_o the_o five_o nine_o in_o the_o six_o seven_o in_o the_o seven_o five_o in_o the_o eight_o three_o in_o the_o nine_o and_o one_o in_o the_o ten_o now_o the_o comparative_a velocity_n of_o any_o body_n move_v be_v in_o subduplicate_v proportion_n to_o the_o aggregate_n or_o sum_n of_o the_o power_n by_o which_o it_o be_v move_v therefore_o the_o velocity_n of_o the_o whole_a space_n return_v be_v always_o in_o the_o same_o proportion_n with_o those_o space_n they_o be_v both_o subduplicate_v to_o the_o power_n and_o consequent_o all_o the_o time_n shall_v be_v equal_a next_o for_o the_o velocity_n of_o the_o part_n of_o the_o space_n return_v they_o will_v be_v always_o proportionate_a to_o the_o root_n of_o the_o aggregate_n of_o the_o power_n impress_v in_o every_o of_o these_o space_n for_o in_o the_o last_o instance_n where_o the_o spring_n be_v suppose_v bend_v ten_o space_n the_o velocity_n at_o the_o end_n of_o the_o first_o space_n return_v shall_v be_v as_o the_o root_n of_o 19_o at_o the_o end_n of_o the_o second_o as_o the_o root_n of_o 36._o that_o be_v of_o 19+17_n at_o the_o end_n of_o the_o three_o as_o the_o root_n of_o 51._o that_o be_v of_o 19+17_n +15._o at_o the_o end_n of_o the_o
the_o island_n lipari_n near_o sicily_n about_o sixteen_o league_n from_o messina_n it_o be_v famous_a for_o the_o best_a raisin_n in_o the_o mediterranean_a there_o be_v on_o it_o a_o large_a castle_n a_o small_a town_n many_o vineyard_n and_o about_o one_o hundred_o family_n beside_o some_o religiose_fw-la i_o judge_v it_o want_v a_o five_o part_n of_o the_o bigness_n of_o the_o isle_n de_fw-fr mayo_n it_o be_v most_o very_a high_a land_n especial_o one_o mountain_n on_o which_o stand_v a_o watch_n tower_n whence_o a_o man_n may_v see_v a_o monstrous_a distance_n at_o sea_n as_o be_v confirm_v by_o the_o ruyter_n in_o the_o relation_n he_o give_v the_o state_n of_o holland_n wherein_o he_o tell_v they_o that_o from_o that_o place_n they_o discern_v the_o french_a fleet_n be_v approach_v long_a before_o they_o can_v from_o any_o other_o part_n either_o of_o their_o own_o or_o the_o other_o island_n i_o be_o sure_a it_o be_v much_o high_a than_o either_o that_o at_o the_o isle_n de_fw-fr mayo_n or_o any_o i_o have_v see_v in_o england_n and_o yet_o on_o this_o fair_a fruitful_a island_n spring_v not_o one_o drop_n of_o water_n the_o inhabitant_n store_v themselves_o with_o rain_n which_o fall_v very_o frequent_o they_o be_v careful_a to_o preserve_v in_o cistern_n divers_a essay_n have_v be_v make_v in_o the_o most_o promise_a part_n of_o it_o to_o find_v spring_n by_o dig_v well_n one_o of_o those_o which_o i_o see_v be_v without_o doubt_n the_o deep_a in_o europe_n i_o remember_v not_o the_o exact_a profundity_n as_o they_o relate_v it_o but_o i_o have_v not_o forget_v that_o throw_v in_o a_o stone_n it_o be_v long_o ere_o it_o get_v to_o the_o bottom_n and_o then_o return_v such_o a_o noise_n as_o it_o have_v be_v the_o discharge_n of_o a_o musket_n the_o cause_n of_o this_o dryness_n be_v by_o the_o people_n think_v to_o be_v subterranean_a heat_n absume_v the_o water_n but_o no_o such_o thing_n appear_v to_o the_o sense_n of_o those_o that_o dig_v the_o well_n i_o give_v no_o faith_n to_o that_o persuasion_n they_o fancy_v such_o heat_n partly_o from_o the_o want_n of_o water_n but_o most_o because_o the_o four_o adjacent_a island_n stromboli_n vulcano_n vulcanella_n and_o m._n aetna_n be_v constant_o burn_v and_o very_o near_o they_o the_o obvious_a earth_n of_o this_o place_n be_v loose_a and_o in_o all_o apparent_a quality_n very_o good_a but_o by_o the_o heap_n that_o have_v be_v throw_v up_o in_o dig_v the_o well_n i_o see_v the_o inferior_a earth_n be_v clammy_a or_o like_o clay_n that_o have_v some_o greasy_a gummous_a matter_n commix_v this_o the_o religious_a tell_v i_o be_v the_o very_a kind_n of_o sulphur_n which_o constant_o boil_a out_o of_o the_o burn_a cranny_n on_o vulcanella_n and_o where_o with_o all_o those_o island_n abound_v not_o except_v their_o own_o though_o it_o be_v not_o yet_o kindle_v for_o my_o three_o observation_n i_o will_v go_v no_o far_o than_o the_o place_n of_o my_o present_a abode_n plymouth_n in_o which_o on_o a_o kind_n of_o piazza_n common_o call_v the_o new-key_n a_o plat_n of_o ground_n get_v in_o from_o the_o sea_n be_v a_o well_o which_o before_o the_o ever_o famous_a sir_n francis_n drake_n by_o cut_v a_o rivulet_n of_o thirty_o mile_n procure_v we_o water_n in_o great_a plenty_n be_v of_o common_a use_n have_v as_o at_o this_o day_n a_o pump_n in_o it_o about_o seven_o year_n since_o be_v before_o the_o key_n be_v enlarge_v the_o well_o be_v not_o above_o eigh_o foot_n from_o the_o edge_n thereof_o over_o which_o the_o sea_n will_v frequent_o flow_v when_o a_o high_a outwind_v and_o a_o spring_n tide_n concur_v i_o say_v this_o well_o though_o so_o near_o the_o sea_n yield_v clean_a water_n and_o as_o sweet_a as_o a_o mixture_n of_o three_o part_n fresh_a and_o one_o of_o salt_n water_n will_v be_v about_o a_o hundred_o yard_n from_o that_o on_o ground_n a_o little_a rise_n be_v a_o very_a large_a well_o which_o supply_v three_o or_o four_o brew-house_n by_o who_o drink_n it_o be_v evident_a that_o the_o water_n have_v not_o whole_o quit_v its_o salt_n it_o be_v to_o be_v note_v that_o plymouth_n lie_v on_o a_o peninsula_n three_o mile_n long_o and_o two_o broad_a the_o isthmus_n about_o two_o three_o of_o a_o mile_n wide_a and_o not_o very_o high_a from_o the_o surface_n of_o a_o full_a sea_n there_o be_v many_o well_n in_o it_o those_o near_o the_o sea_n be_v saltish_a those_o far_a from_o it_o the_o less_o so_o my_o four_o observation_n i_o take_v from_o the_o late_a famous_a french_a traveller_n mounseur_fw-fr taverner_n who_o in_o his_o first_o volume_n discourse_v of_o the_o coast_n of_o coromandel_n etc._n etc._n he_o say_v they_o there_o want_v fresh_a water_n and_o be_v constrain_v strain_v to_o make_v pit_n of_o two_o foot_n deep_a in_o the_o sand_n by_o the_o sea_n to_o find_v it_o the_o five_o observation_n and_o which_o i_o will_v call_v the_o most_o significant_a be_v i_o assure_v of_o its_o truth_n i_o have_v from_o a_o very_a ingenious_a chirurgeon_n who_o have_v use_v the_o west_n india_n that_o there_o be_v in_o that_o sea_n a_o island_n call_v rotunda_n of_o a_o figure_n agreeable_a to_o its_o name_n which_o though_o very_o small_a have_v on_o it_o arise_v in_o the_o middle_n a_o spring_n of_o a_o very_a large_a stream_n of_o water_n at_o which_o our_o ship_n frequent_o furnish_v themselves_o in_o their_o navigation_n he_o affirm_v that_o it_o rain_v there_o but_o once_o a_o year_n as_o at_o the_o isle_n de_fw-fr mayo_n say_v withal_o that_o the_o island_n be_v so_o short_a of_o a_o proportion_n big_a enough_o for_o the_o stream_n that_o if_o it_o constant_o rain_v it_o can_v not_o be_v supply_n enough_o to_o maintain_v so_o large_a a_o efflux_n my_o six_o and_o last_o be_v the_o relation_n of_o dr._n downes_n concern_v barbadoes_n viz._n that_o all_o their_o spring_n be_v former_o very_o near_o the_o sea_n that_o up_o in_o the_o country_n they_o supply_v themselves_o from_o the_o rain_v by_o dig_v pit_n in_o the_o earth_n able_a to_o contain_v great_a quantity_n and_o there_o preserve_v it_o which_o they_o do_v a_o very_a long_a time_n the_o rain_v be_v there_o as_o unfrequent_v as_o at_o the_o isle_n de_fw-fr mayo_n and_o that_o without_o any_o sensible_a diminution_n by_o penetrate_v and_o descend_v into_o the_o earth_n and_o to_o prevent_v the_o loss_n thereof_o by_o the_o exhalation_n of_o the_o sun_n they_o cover_v it_o with_o leaf_n etc._n etc._n but_o that_o now_o by_o dig_v deep_o they_o find_v spring_n so_o plenty_n that_o no_o plantation_n be_v without_o one_o from_o all_o these_o observation_n the_o follow_a consectary_n do_v mechanical_o result_v from_o the_o first_o it_o appear_v that_o some_o spring_n have_v manifest_o their_o source_n from_o the_o sea_n that_o sand_n sweeten_v transcolate_v sea-water_n and_o that_o even_a pickle_n strain_v through_o it_o lose_v much_o of_o its_o saltness_n thereby_o all_o which_o be_v evident_a from_o the_o well_o therein_o mention_v who_o water_n can_v not_o possible_o be_v other_o than_o what_o soak_v in_o from_o the_o pond_n and_o the_o ocean_n hence_o also_o be_v manifest_a that_o constant_a and_o large_a flux_n of_o water_n may_v be_v make_v for_o eleven_o month_n without_o rain_n to_o refill_z the_o subterranean_a cistern_n suppose_v by_o you_o to_o supply_v they_o this_o appear_v from_o the_o river_n run_v through_o the_o island_n by_o who_o bank_n i_o find_v it_o be_v april_n when_o i_o be_v there_o at_o which_o time_n they_o have_v be_v ten_o month_n without_o rain_n thsh_v after_o their_o shower_n it_o can_v run_v but_o little_o large_a that_o it_o do_v after_o so_o tedious_a a_o want_n of_o they_o i_o have_v forget_v to_o intimate_v in_o the_o relation_n that_o those_o two_o hommet_n a._n be_v craggy_a rock_n whereon_o live_v a_o great_a number_n of_o goat_n and_o be_v consequent_o very_o unfit_a if_o not_o incapable_a either_o to_o receive_v or_o contain_v the_o magazine_n for_o the_o supply_n of_o the_o rivulet_n from_o the_o second_o it_o be_v manifest_a that_o high_a mountain_n of_o earth_n and_o consequent_o more_o likely_a to_o receive_v and_o contain_v sufficient_a quantity_n of_o rain-water_n to_o beget_v and_o supply_v spring_n and_o river_n have_v not_o always_o that_o effect_n although_o there_o be_v one_o great_a advantage_n more_o add_v here_o viz._n a_o clammy_a tyte_n earth_n in_o the_o bottom_n to_o make_v the_o suppose_a cistern_n the_o better_a able_a to_o contain_v the_o store_n i_o say_v that_o frequent_a rain_n to_o fill_v high_a mountain_n to_o contain_v lose_v pervious_a earth_n to_o receive_v and_o a_o well_o lute_v bottom_n to_o support_v and_o retain_v be_v all_o the_o qualification_n and_o circumstance_n suppose_v necessary_a to_o make_v and_o continue_v
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