lectiones_fw-la cutlerianae_n or_o a_o collection_n of_o lecture_n physical_a mechanical_a geographical_a &_o astronomical_a make_a before_o the_o royal_a society_n on_o several_a occasion_n at_o gresham_n college_n to_o which_o be_v add_v divers_a miscellaneous_n discourse_n by_o robert_n hooke_n s.r.s._n london_n print_v for_o john_n martin_n printer_n to_o the_o royal_a society_n at_o the_o bell_n in_o s._n paul_n churchyard_n 1679._o the_o title_n of_o the_o several_a tract_n i._o a_o attempt_n to_o prove_v the_o annual_a motion_n of_o the_o earth_n by_o observation_n make_v with_o accurate_a instrument_n wherein_o be_v show_v the_o impossibility_n of_o do_v it_o by_o the_o most_o exact_a instrument_n and_o way_n use_v by_o precede_a astronomer_n the_o instrument_n and_o method_n use_v in_o these_o observation_n the_o way_n of_o see_v the_o fix_a star_n in_o the_o day_n time_n and_o a_o new_a hypothesis_n for_o solve_v the_o motion_n of_o the_o heavenly_a body_n be_v hint_v ii_o 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of_o any_o length_n without_o move_v the_o tube_n 4._o a_o instrument_n for_o take_v the_o diameter_n of_o the_o sun_n moon_n and_o planet_n or_o other_o small_a distance_n in_o the_o heaven_n to_o the_o certainty_n of_o a_o second_o 5._o a_o instrument_n for_o describe_v all_o manner_n of_o dial_n by_o the_o tangent_fw-la projection_n 6._o the_o use_n of_o the_o say_a instrument_n first_o for_o adjust_v the_o hand_n of_o a_o clock_n so_o as_o to_o make_v it_o move_v in_o the_o shadow_n of_o a_o dial_n who_o style_n be_v parallel_n to_o the_o axis_n or_o second_o in_o the_o azimuth_n of_o any_o celestial_a body_n that_o be_v in_o the_o shadow_n of_o a_o upright_a or_o any_o other_o way_n incline_v style_n upon_o any_o plain_a three_o for_o make_v a_o hand_n move_v according_a to_o the_o true_a aequation_n of_o time_n four_o for_o make_v all_o manner_n of_o elliptical_a dial_n in_o mr._n foster_n way_n etc._n etc._n five_o for_o communicate_v a_o circular_a motion_n in_o a_o curve_v line_n without_o any_o shake_n and_o for_o divers_a other_o excellent_a purpose_n to_o which_o be_v add_v a_o observation_n of_o the_o eclipse_n of_o the_o moon_n jan._n 1._o 167_o â—_o 5._o and_o a_o postscript_n concern_v the_o invention_n of_o regulate_a watch_n by_o spring_n apply_v to_o their_o balance_n together_o with_o a_o decade_n of_o other_o useful_a invention_n part_v discover_v part_v describe_v in_o anagram_n iv_o lamp_n as_o or_o description_n of_o some_o mechanical_a improvement_n of_o lamp_n and_o waterpoise_n with_o other_o physical_a and_o mechanical_a discovery_n wherein_o be_v discover_v beside_o the_o way_n of_o obviate_a the_o inconvenience_n of_o other_o contrivance_n of_o lamp_n eight_o several_a way_n of_o make_v lamp_n so_o as_o to_o regulate_v the_o flame_n of_o they_o for_o various_a use_n several_a of_o which_o be_v therein_o mention_v and_o explain_v beside_o which_o various_a way_n and_o use_n be_v describe_v of_o poise_v liquor_n by_o the_o by_o several_a theory_n and_o explication_n be_v insert_v particular_o about_o flame_n and_o burn_v about_o light_n colour_n gravity_n local_a motion_n pressure_n of_o fluids_n etc._n etc._n in_o answer_n to_o some_o objection_n of_o dr._n more_o against_o some_o former_a discourse_n publish_v by_o the_o author_n to_o these_o be_v add_v the_o description_n of_o a_o new_a sort_n of_o clepsydra_n or_o waterclock_n 2._o a_o new_a principle_n for_o regulate_a pocket_n watch_v 3._o several_a microscopical_a observation_n about_o the_o seed_n of_o moss_n mushroom_n all_o kind_n of_o fern_n wall-rue_n harts-tongue_n osmund_n royal_a etc._n etc._n 4._o a_o observation_n of_o spot_n in_o the_o sun_n v._o cometa_fw-la contain_v observation_n on_o the_o comet_n in_o april_n 1677._o also_o for_o the_o year_n 1664._o 1665._o sir_n christopher_z wren_n hypothesis_n and_o geometrical_a problem_n about_o those_o comet_n a_o discourse_n concern_v the_o comet_n 1677._o mr._n boyl_n observation_n make_v on_o 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a_o description_n of_o dr._n pappins_n wind-fountain_n and_o force-pump_n mr._n yong_n observation_n concern_v natural_a fountain_n some_o other_o consideration_n concern_v that_o subject_a capt._n sturmy_n remark_n of_o a_o subterraneous_a cave_n and_o cistern_n mr._n g._n t._n his_o observation_n make_v on_o the_o pike_n of_o teneriff_n anno_fw-la 1674._o some_o reflection_n and_o conjecture_n occasion_v thereupon_o a_o relation_n of_o a_o late_a eruption_n in_o the_o isle_n of_o palma_n a_o attempt_n to_o prove_v the_o motion_n of_o the_o earth_n from_z observation_n make_v by_o robert_n hooke_n fellow_n of_o the_o royal_a society_n senec._n nat._n qu._n lib._n 1._o cap._n 30._o nè_fw-la miremur_fw-la tam_fw-la tardè_fw-la erui_fw-la qua_fw-la tam_fw-la altè_fw-la jacent_fw-la london_n print_v by_o t._n r._n for_o john_n martin_n printer_n to_o the_o royal_a society_n at_o the_o bell_n in_o st._n paul_n churchyard_n 1674._o to_o the_o true_o honourable_a sir_n john_n cutler_n knight_n and_o baronet_n my_o worthy_a patron_n sir_n among_o several_a eminent_a mark_n of_o your_o greatness_n of_o mind_n for_o promote_a the_o public_a good_a that_o of_o your_o bounty_n for_o the_o advancement_n of_o experimental_a and_o real_a knowledge_n by_o the_o sound_n a_o physico-mechanical_a lecture_n deserve_v to_o be_v record_v as_o one_o and_o more_o especial_o by_o i_o who_o you_o have_v honour_v by_o establish_v your_o first_o lecturer_n as_o a_o earnest_a of_o other_o more_o considerable_a short_o to_o follow_v i_o here_o present_v you_o with_o one_o of_o my_o discourse_n in_o that_o employment_n which_o though_o short_a and_o plain_a contain_v somewhat_o of_o information_n which_o the_o learned_a have_v hitherto_o desire_v though_o almost_o with_o despair_n as_o i_o hope_v their_o kind_a acceptance_n will_v produce_v their_o thanks_o to_o you_o to_o who_o they_o be_v just_o due_a so_o your_o acceptance_n will_v encourage_v i_o in_o the_o further_a prosecution_n of_o these_o inquiry_n to_o approve_v myself_o noble_a sir_n your_o most_o oblige_a and_o most_o humble_a servant_n robert_n hooke_n from_o gresham_n college_n march_v 25._o 1674._o reader_n i_o have_v former_o in_o the_o preface_n of_o my_o micrographia_fw-la give_v the_o world_n a_o account_n of_o the_o sound_n a_o physico-mechanical_a lecture_n in_o the_o year_n 1665_o by_o sir_n john_n cutler_n for_o the_o promote_a the_o history_n of_o nature_n and_o of_o art_n in_o prosecution_n thereof_o i_o have_v collect_v many_o observation_n both_o of_o the_o one_o and_o the_o other_o kind_n and_o from_o time_n to_o time_n as_o oblige_v i_o have_v acquaint_v the_o royal_a society_n at_o their_o public_a meeting_n both_o at_o gresham_n college_n and_o arundel_n house_n therewith_o by_o discourse_n and_o lecture_n thereupon_o now_o in_o order_n to_o the_o further_a promote_a the_o end_n and_o design_n of_o this_o lecture_n i_o have_v comply_v with_o the_o desire_n of_o several_a of_o my_o friend_n though_o otherwise_o not_o thereunto_o oblige_v to_o commit_v divers_a of_o those_o discourse_n to_o the_o public_a though_o of_o themselves_o for_o
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 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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
each_o of_o the_o shine_a part_n of_o the_o comet_n seem_v to_o fill_v and_o occupy_v a_o much_o great_a space_n than_o real_o it_o do_v and_o so_o as_o it_o be_v observable_a in_o the_o milky_a way_n a_o great_a number_n of_o these_o small_a shine_a body_n though_o disperse_v at_o a_o pretty_a distance_n one_o from_o another_o yet_o by_o reason_n of_o the_o imperceptibleness_n of_o each_o of_o they_o they_o all_o seem_v to_o coalesce_v into_o a_o stream_n or_o blaze_n of_o light_n the_o brightness_n of_o which_o be_v yet_o far_o augment_v by_o a_o clear_a and_o unenlightened_a air_n and_o by_o such_o a_o part_n of_o the_o heaven_n wherein_o there_o appear_v few_o of_o the_o star_n whether_o they_o be_v great_a or_o lesser_a to_o the_o query_n of_o what_o magnitude_n the_o body_n coma_n and_o blaze_n of_o comet_n may_v be_v no_o answer_n can_v be_v give_v until_o another_o question_n be_v first_o answer_v and_o that_o be_v what_o be_v the_o place_n of_o comet_n and_o what_o be_v their_o distance_n from_o the_o earth_n it_o be_v the_o opinion_n of_o most_o modern_a writer_n before_o tycho_n brahe_n and_o kepler_n i_o know_v divers_a of_o the_o ancient_n think_v otherwise_o that_o comet_n be_v sublunary_a meteor_n draw_v up_o into_o the_o high_a region_n of_o the_o air_n and_o there_o set_v on_o sire_n and_o so_o continue_v burn_v till_o the_o meteor_n be_v consume_v and_o as_o the_o matter_n increase_v or_o waste_v so_o do_v the_o appearance_n of_o the_o comet_n but_o this_o noble_a dane_n and_o several_a other_o about_o that_o time_n find_v by_o accurate_a observation_n make_v that_o its_o parallax_n be_v less_o than_o that_o of_o the_o moon_n and_o consequent_o that_o it_o be_v far_o distant_a from_o the_o earth_n that_o it_o must_v be_v a_o body_n of_o another_o magnitude_n and_o nature_n than_o most_o before_o that_o time_n have_v imagine_v and_o therefore_o that_o it_o ought_v to_o be_v otherwise_o think_v of_o than_o the_o generality_n of_o mankind_n believe_v concern_v it_o many_o have_v be_v the_o attempt_n of_o former_a writer_n concern_v they_o to_o find_v out_o their_o parallax_n and_o whether_o from_o their_o unaccurate_a instrument_n or_o from_o their_o less_o skill_n and_o diligence_n in_o use_v they_o or_o from_o a_o imagination_n of_o the_o solidity_n and_o impenetrability_n of_o the_o celestial_a orb_n or_o from_o error_n in_o their_o calculation_n or_o from_o compare_v observation_n make_v at_o distant_a place_n one_o or_o both_o whereof_o be_v unaccurate_a or_o from_o a_o prepossession_n of_o tradition_n or_o common_a fame_n or_o from_o what_o other_o cause_n soever_o it_o be_v be_v uncertain_a but_o it_o be_v general_o conclude_v by_o they_o that_o all_o comet_n be_v sublunary_a meteor_n and_o there_o be_v not_o even_o at_o this_o day_n want_v some_o of_o the_o same_o opinion_n though_o for_o what_o reason_n i_o know_v not_o it_o will_v be_v hard_a to_o convince_v some_o of_o these_o that_o the_o opinion_n they_o have_v hitherto_o receive_v for_o good_a be_v not_o so_o because_o they_o will_v hardly_o give_v themselves_o the_o trouble_n of_o examine_v strict_o into_o the_o matter_n and_o to_o understand_v the_o nature_n of_o parallax_n and_o how_o significant_a they_o be_v in_o determine_v the_o distance_n of_o body_n from_o the_o surface_n of_o the_o earth_n to_o certain_a degree_n thereof_o beyond_o which_o by_o reason_n of_o the_o imperfection_n in_o instrument_n and_o observation_n and_o the_o exceed_a niceness_n and_o curiosity_n necessary_a they_o signify_v very_o little_a it_o be_v not_o my_o present_a design_n to_o explain_v what_o parallax_n be_v that_o i_o will_v suppose_v my_o reader_n to_o understand_v otherwise_o there_o can_v be_v no_o reason_n show_v he_o to_o convince_v he_o that_o it_o be_v possible_a to_o prove_v that_o this_o or_o that_o comet_n be_v not_o near_a than_o so_o many_o semidiameter_n of_o the_o earth_n nor_o far_o off_o than_o so_o many_o there_o be_v then_o two_o way_n by_o which_o we_o may_v come_v to_o some_o certainty_n of_o what_o distance_n a_o comet_n be_v and_o those_o be_v first_o the_o parallax_n of_o its_o diurnal_a motion_n or_o its_o parallax_n cause_v by_o the_o diurnal_a motion_n of_o the_o earth_n and_o second_o the_o parallax_n of_o its_o proper_a motion_n compare_v with_o the_o periodick_n or_o annual_a motion_n of_o the_o earth_n the_o first_o of_o these_o may_v be_v observe_v two_o way_n either_o by_o two_o observer_n at_o part_n of_o the_o earth_n very_o far_o distant_a from_o each_o other_o but_o as_o near_o as_o may_v be_v under_o the_o same_o meridian_n as_o suppose_v the_o one_o in_o london_n the_o other_o in_o st._n helen_n both_o conspire_v in_o their_o observe_n of_o the_o place_n of_o the_o comet_n among_o the_o fix_a star_n at_o the_o same_o time_n or_o second_o by_o one_o observer_n in_o the_o same_o place_n by_o observe_v the_o place_n of_o it_o among_o the_o fix_a star_n in_o its_o rise_n or_o set_v and_o in_o a_o great_a or_o if_o it_o may_v be_v its_o great_a height_n the_o noble_a tycho_n by_o very_o accurate_a observation_n of_o the_o parallax_n prove_v the_o comet_n of_o 1577._o to_o be_v above_o the_o moon_n kepler_n by_o his_o own_o observation_n prove_v that_o of_o 1607._o at_o its_o beginning_n to_o be_v four_o time_n far_o distant_a and_o i_o doubt_v not_o but_o some_o may_v have_v be_v above_o forty_o time_n far_o but_o i_o do_v not_o yet_o find_v that_o any_o observation_n have_v accurate_o determine_v that_o which_o be_v indeed_o the_o great_a help_n by_o which_o we_o be_v enable_v to_o judge_v of_o the_o nature_n and_o all_o the_o other_o accident_n and_o propriety_n of_o comet_n the_o aristotelian_a philosophy_n for_o a_o long_a time_n prevail_v make_v the_o world_n believe_v they_o to_o be_v nothing_o but_o exhalation_n from_o the_o earth_n draw_v up_o into_o the_o high_a region_n of_o the_o air._n but_o tycho_n by_o his_o observation_n of_o their_o parallax_n raise_v they_o out_o of_o that_o confinement_n but_o yet_o he_o seem_v to_o place_v they_o in_o a_o orb_n about_o the_o sun_n but_o kepler_n free_v they_o from_o that_o confinement_n and_o assign_v they_o the_o universe_n to_o expatiate_v in_o but_o none_o of_o all_o these_o do_v accurate_o prove_v the_o true_a distance_n of_o they_o their_o parallax_n be_v for_o the_o most_o part_n so_o very_o small_a that_o i_o fear_v instrument_n with_o common_a light_n will_v hardly_o reach_v they_o but_o we_o must_v expect_v from_o future_a observation_n make_v with_o telescopical_a instrument_n to_o receive_v a_o certain_a answer_n to_o this_o query_n certain_a i_o be_o that_o the_o comet_n which_o begin_v to_o appear_v in_o november_n 1664._o and_o disappear_v in_o march_n follow_v be_v far_o remove_v beyond_o the_o distance_n assign_v by_o kepler_n for_o by_o my_o own_o observation_n divers_a time_n repeat_v i_o can_v not_o find_v any_o senfible_a parallax_n though_o i_o endeavour_v by_o a_o new_a method_n to_o make_v my_o observation_n more_o accurate_a now_o though_o i_o have_v not_o the_o convenience_n of_o make_v use_n of_o a_o quadrant_n or_o any_o such_o instrument_n to_o observe_v its_o place_n when_o near_o the_o horizon_n yet_o the_o way_n i_o take_v will_v i_o think_v be_v as_o good_a which_o be_v this_o with_o a_o very_a good_a six_o foot_n perspective-glass_n or_o telescope_n i_o observe_v the_o place_n of_o the_o comet_n in_o respect_n of_o the_o adjacent_a small_a star_n as_o soon_o as_o it_o appear_v and_o so_o trace_v its_o way_n till_o it_o disappear_v in_o the_o vapour_n of_o the_o horizon_n the_o like_a i_o do_v several_a other_o day_n successive_o take_v notice_n by_o what_o degree_n in_o what_o time_n it_o make_v its_o progress_n to_o see_v whether_o by_o its_o parallax_n when_o near_o the_o horizon_n it_o will_v have_v be_v depress_v below_o that_o line_n of_o its_o motion_n which_o it_o keep_v when_o at_o a_o great_a height_n above_o it_o but_o though_o i_o try_v this_o several_a time_n yet_o i_o be_v not_o able_a to_o discern_v that_o the_o parallax_n of_o it_o cause_v either_o any_o sensible_a bend_n of_o the_o line_n or_o any_o sensible_a inequality_n in_o its_o progress_n by_o which_o i_o shall_v have_v soon_o find_v it_o than_o by_o take_v its_o altitude_n with_o common_a instrument_n though_o i_o confess_v these_o observation_n be_v make_v when_o the_o motion_n of_o the_o comet_n be_v slow_a and_o consequent_o when_o in_o probability_n it_o be_v far_o distant_a from_o the_o earth_n to_o i_o there_o seem_v no_o doubt_n but_o that_o it_o be_v a_o long_a way_n remove_v above_o the_o moon_n when_o i_o make_v these_o observation_n for_o have_v it_o be_v of_o a_o equal_a distance_n with_o that_o they_o allow_v the_o moon_n it_o must_v this_o way_n have_v manifest_v a_o very_a sensible_a
it_o but_o as_o to_o the_o three_o i_o hope_v the_o indefatigable_a labour_n and_o skill_n of_o monsieur_n hevelius_n will_v short_o supply_v the_o present_a defect_n though_o it_o have_v be_v much_o to_o be_v wish_v that_o the_o instrument_n he_o have_v make_v use_n of_o have_v be_v fit_v with_o telescopical_a sight_n these_o table_n if_o well_o do_v will_v alone_o as_o to_o the_o business_n of_o comet_n at_o least_o supply_v the_o place_n of_o all_o other_o instrument_n almost_o save_v only_o a_o thread_n especial_o if_o they_o be_v so_o delineate_v in_o table_n after_o the_o tangent_fw-la projection_n as_o that_o the_o minute_n of_o every_o degree_n may_v be_v very_o distinguishable_a which_o will_v not_o swell_v the_o map_n of_o the_o heaven_n into_o a_o extraordinary_a large_a volume_n and_o may_v possible_o be_v the_o cheap_a instrument_n for_o this_o purpose_n a_o astronomer_n can_v be_v furnish_v withal_o for_o have_v such_o a_o volume_n of_o table_n it_o will_v be_v very_o easy_a with_o a_o thread_n and_o one_o eye_n screen_v only_o with_o a_o spectacle_n make_v of_o a_o thin_a plate_n of_o brass_n with_o a_o small_a hole_n through_o it_o instead_o of_o a_o glass_n to_o observe_v what_o place_n the_o comet_n possess_v among_o the_o fix_a star_n for_o have_v by_o the_o help_n of_o the_o say_a thread_n observe_v what_o two_o star_n lie_v in_o the_o same_o line_n with_o the_o comet_n on_o one_o side_n of_o it_o and_o what_o other_o two_o star_n lie_v in_o a_o line_n with_o it_o which_o be_v at_o right_a angle_n as_o near_o as_o may_v be_v with_o the_o former_a line_n by_o find_v out_o those_o four_o star_n in_o the_o table_n order_v according_a to_o the_o tangent_fw-la projection_n and_o with_o a_o ruler_n draw_v line_n over_o they_o respective_o where_o those_o line_n do_v intersect_v there_o will_v be_v the_o true_a place_n of_o the_o comet_n from_o which_o it_o will_v not_o be_v difficult_a to_o find_v out_o the_o true_a longitude_n and_o latitude_n of_o it_o by_o a_o sector_n with_o tangent_n now_o as_o these_o table_n of_o all_o the_o fix_a star_n visible_a to_o the_o naked_a eye_n will_v serve_v for_o find_v its_o place_n whilst_o very_o big_a and_o swift_a of_o motion_n so_o the_o like_a table_n of_o the_o small_a telescopical_a star_n that_o lie_v near_o its_o way_n when_o almost_o disappear_v and_o move_v very_o slow_a will_v by_o the_o help_n of_o a_o pair_n of_o measure_v compass_n place_v within_o the_o eye-glass_n of_o the_o telescope_n and_o a_o straight_a line_n or_o hair_n draw_v across_o it_o serve_v to_o find_v the_o true_a motion_n and_o way_n of_o it_o when_o only_o visible_a with_o a_o telescope_n according_a to_o which_o method_n i_o make_v the_o annex_v scheme_n and_o observation_n of_o the_o last_o appearance_n of_o the_o comet_n now_o since_o neither_o from_o my_o own_o nor_o from_o any_o other_o observation_n that_o i_o have_v hitherto_o meet_v with_o there_o can_v be_v any_o certain_a conclusion_n draw_v of_o the_o distance_n of_o these_o comet_n save_v only_o this_o that_o their_o distance_n be_v very_o great_a and_o much_o high_a than_o the_o body_n of_o the_o moon_n because_o else_o there_o must_v have_v be_v a_o considerable_a parallax_n cause_v by_o the_o diurnal_a motion_n the_o next_o enquiry_n will_v be_v what_o other_o way_n there_o be_v of_o know_v its_o distance_n now_o though_o none_o can_v be_v more_o demonstrative_a than_o the_o parallax_n find_v this_o way_n by_o the_o diurnal_a motion_n yet_o there_o be_v some_o other_o which_o seem_v more_o easy_a arise_v from_o the_o consideration_n of_o the_o motion_n that_o may_v be_v think_v to_o be_v concern_v in_o the_o produce_v the_o appearance_n and_o though_o they_o be_v whole_o hypothetical_a and_o so_o need_v some_o other_o argument_n to_o prove_v the_o ground_n and_o principle_n on_o which_o they_o be_v found_v yet_o since_o there_o be_v not_o very_o many_o considerable_a one_o want_v to_o make_v they_o probable_a and_o rational_a i_o shall_v here_o add_v somewhat_o of_o my_o inquiry_n after_o the_o distance_n position_n motion_n magnitude_n etc._n etc._n of_o these_o comet_n by_o these_o mean_n of_o these_o way_n there_o be_v several_a depend_v upon_o several_a supposition_n which_o produce_v very_o differ_v effect_n as_o to_o the_o magnitude_n distance_n motion_n and_o way_n of_o the_o same_o comet_n the_o supposition_n be_v these_o either_o that_o the_o earth_n move_v in_o a_o annual_a orb_n about_o the_o sun_n as_o the_o sun_n be_v suppose_v by_o other_o to_o move_v about_o the_o earth_n or_o that_o the_o earth_n be_v perfect_o fix_v and_o have_v no_o such_o motion_n next_o that_o the_o comet_n move_v either_o in_o a_o straight_a line_n or_o in_o a_o curve_v line_n and_o the_o curve_v be_v either_o a_o circle_n or_o some_o other_o regular_a or_o irregular_a curve_v further_o that_o the_o motion_n of_o the_o comet_n in_o these_o line_n be_v either_o by_o equal_a or_o unequal_a space_n in_o equal_a time_n now_o according_a as_o we_o take_v this_o or_o those_o of_o these_o differ_a supposition_n and_o compound_v they_o together_o so_o will_v the_o product_n of_o they_o be_v strange_o differ_v among_o the_o great_a variety_n of_o composition_n of_o these_o principle_n or_o supposition_n these_o seem_v the_o most_o simple_a and_o consequent_o be_v any_o otherwise_o prove_v will_v best_o determine_v the_o true_a distance_n and_o way_n of_o the_o comet_n first_o to_o suppose_v the_o earth_n to_o stand_v still_o and_o the_o comet_n to_o move_v equal_a space_n in_o equal_a time_n in_o a_o circle_n second_o to_o suppose_v the_o earth_n to_o move_v in_o a_o annual_a orb_n about_o the_o sun_n and_o the_o comet_n to_o move_v through_o the_o aether_n or_o expansum_fw-la equal_a space_n in_o equal_a time_n in_o a_o straight_a line_n three_o to_o suppose_v the_o earth_n to_o move_v as_o above_o in_o its_o annual_a orb_n and_o the_o comet_n also_o to_o move_v equal_a space_n in_o equal_a line_n in_o a_o circle_n the_o other_o be_v indeterminate_a and_o infinite_a and_o nothing_o can_v be_v conclude_v from_o they_o as_o to_o the_o distance_n magnitude_n motion_n etc._n etc._n of_o comet_n for_o the_o line_n or_o way_n of_o the_o comet_n may_v be_v place_v at_o any_o distance_n if_o we_o will_v suppose_v it_o move_v in_o a_o uncertain_a curve_v with_o unequal_a degree_n of_o velocity_n and_o indeed_o upon_o a_o supposal_n of_o a_o inequality_n of_o motion_n nothing_o of_o its_o way_n or_o distance_n can_v by_o any_o of_o these_o supposition_n be_v find_v out_o this_o fault_n have_v that_o of_o tycho_n brahe_n where_o he_o suppose_v a_o unequal_a motion_n of_o it_o in_o its_o orb_n about_o the_o orb_n of_o venus_n which_o be_v found_v upon_o the_o first_o hypothesis_n but_o have_v introduce_v into_o it_o some_o inequality_n of_o motion_n beside_o his_o own_o supposition_n that_o it_o be_v move_v about_o the_o sun_n and_o the_o sun_n about_o the_o earth_n see_v the_o five_o figure_n keplers_n way_n which_o be_v after_o the_o second_o hypothesis_n have_v the_o same_o fault_n for_o he_o suppose_v the_o annual_a motion_n of_o the_o earth_n and_o the_o motion_n of_o the_o comet_n in_o a_o straight_a line_n but_o introduce_v a_o acceleration_n of_o motion_n in_o the_o tangent_fw-la towards_o the_o latter_a end_n the_o three_o way_n i_o have_v here_o take_v and_o from_o the_o best_a observation_n i_o can_v meet_v with_o i_o have_v delineate_v its_o respect_n or_o angle_n to_o the_o sun_n and_o according_o suppose_v it_o to_o move_v equal_a space_n in_o equal_a time_n in_o a_o curve_v which_o for_o so_o much_o of_o it_o as_o the_o comet_n be_v observe_v to_o pass_v be_v very_o near_o a_o circle_n i_o find_v this_o circle_n will_v fall_v as_o it_o be_v express_v in_o the_o seven_o figure_n where_o it_o be_v obvious_a to_o take_v notice_n that_o when_o the_o comet_n be_v near_a to_o the_o earth_n namely_o about_o the_o 19_o or_o 20._o of_o december_n that_o it_o be_v not_o near_a than_o a_o eleven_o part_n of_o the_o distance_n of_o the_o sun_n that_o on_o the_o 23_o it_o be_v twice_o as_o far_o that_o on_o the_o 29._o it_o be_v four_o time_n as_o far_o that_o on_o the_o 15._o of_o january_n it_o be_v as_o far_o as_o the_o sun_n and_o on_o the_o 14._o of_o february_n it_o be_v above_o twice_o as_o far_o distant_a as_o the_o sun_n that_o this_o way_n or_o orb_n of_o the_o comet_n be_v here_o bend_a so_o as_o if_o it_o be_v a_o entire_a circle_n one_o part_n of_o it_o will_v go_v without_o the_o orb_n of_o jupiter_n as_o the_o other_o which_o be_v here_o delineate_v come_v within_o the_o orb_n of_o the_o earth_n that_o the_o plain_a of_o this_o orb_n be_v incline_v to_o the_o plain_a of_o the_o ecliptic_a about_o 18_o degree_n that_o if_o
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 supposition_n that_o i_o think_v it_o may_v be_v allege_v for_o a_o great_a argument_n against_o the_o motion_n of_o the_o earth_n than_o for_o it_o for_o if_o we_o only_o grant_v one_o of_o the_o former_a postulata_fw-la namely_o that_o the_o body_n of_o the_o comet_n be_v move_v equal_a space_n in_o equal_a time_n and_o a_o quite_o contrary_a postulatum_fw-la to_o the_o former_a namely_o that_o the_o earth_n remain_v fix_v as_o to_o a_o annual_a motion_n we_o may_v find_v all_o the_o observation_n of_o this_o comet_n especial_o the_o most_o accurate_a of_o they_o to_o happen_v so_o that_o the_o comet_n be_v suppose_v to_o be_v move_v in_o a_o great_a circle_n who_o convex_a side_n be_v turn_v towards_o the_o earth_n who_o centre_n be_v extend_v towards_o the_o fix_a *_o in_o ♋_o and_o who_o semidiameter_n be_v about_o sixscore_o time_n the_o near_a distance_n of_o the_o comet_n from_o the_o earth_n and_o the_o comet_n be_v suppose_v to_o be_v move_v very_o near_o equal_a space_n in_o 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 can_v be_v see_v without_o a_o very_a good_a glass_n which_o will_v endure_v a_o exceed_a big_a aperture_n nor_o can_v i_o these_o two_o last_o night_n perceive_v it_o though_o the_o air_n be_v clear_a but_o the_o reason_n i_o attribute_v to_o its_o nearness_n to_o a_o fix_a *_o of_o ♈_o this_o hypothesis_n be_v explain_v in_o the_o seven_o figure_n by_o this_o supposition_n the_o return_n of_o the_o comet_n will_v be_v much_o long_o and_o the_o time_n of_o see_v of_o it_o much_o more_o uncertain_a because_o the_o curvature_n be_v so_o little_a that_o the_o make_v the_o circle_n a_o twenty_o or_o a_o sixteenth_o part_n big_a or_o less_o do_v not_o much_o alter_v the_o regularity_n whence_o it_o be_v exceed_o difficult_a unless_o we_o have_v much_o more_o accurate_a observation_n than_o i_o have_v hitherto_o meet_v with_o to_o determine_v exact_o the_o bigness_n of_o the_o circle_n and_o consequent_o the_o time_n of_o the_o return_n and_o by_o this_o supposition_n the_o comet_n may_v 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
irregularity_n in_o its_o motion_n be_v ascribable_a to_o its_o parallax_n and_o this_o will_v be_v so_o much_o the_o easy_a because_o the_o examination_n and_o reduction_n of_o it_o may_v be_v do_v with_o as_o great_a exactness_n as_o the_o observation_n can_v be_v make_v by_o the_o help_n only_o of_o ruler_n and_o compass_n for_o all_o the_o distance_n will_v be_v set_v off_o by_o equal_a division_n of_o straight_a line_n the_o line_n also_o of_o the_o periodic_a motion_n whether_o of_o the_o comet_n or_o planet_n especial_o if_o the_o observation_n be_v make_v when_o the_o body_n be_v near_o a_o opposition_n with_o the_o sun_n which_o be_v much_o the_o best_a time_n will_v be_v with_o sufficient_a exactness_n take_v for_o a_o straight_a line_n and_o the_o motion_n in_o that_o line_n may_v be_v suppose_v by_o equal_a space_n in_o equal_a time_n for_o the_o difference_n between_o the_o tangent_n of_o the_o centesm_n of_o a_o degree_n to_o two_o degree_n be_v not_o increase_v much_o more_o than_o 2_o 1745_o that_o be_v not_o a_o quarter_n of_o a_o centesm_n of_o the_o hundred_o part_n of_o a_o degree_n which_o be_v much_o more_o exact_a than_o i_o fear_v our_o observation_n will_v ever_o be_v another_o way_n of_o find_v the_o parallax_n may_v be_v by_o the_o help_n of_o exact_a observation_n make_v by_o several_a person_n at_o the_o same_o time_n in_o place_n much_o differ_v in_o latitude_n though_o as_o near_o as_o may_v be_v under_o the_o same_o meridian_n because_o of_o save_v the_o trouble_n of_o calculation_n and_o for_o be_v assure_v that_o the_o observation_n be_v both_o make_v exact_o at_o the_o same_o time_n each_o person_n by_o the_o help_n of_o very_o long_a telescope_n observe_v the_o exact_a distance_n of_o the_o body_n from_o the_o small_a fix_a star_n next_o adjoin_v a_o three_o way_n of_o find_v the_o parallax_n of_o comet_n be_v whole_o new_a and_o though_o hypothetical_a as_o suppose_v the_o annual_a motion_n of_o the_o earth_n and_o the_o motion_n of_o the_o comet_n in_o a_o right_a line_n through_o equal_a space_n in_o equal_a time_n yet_o it_o be_v found_v upon_o a_o problem_n in_o geometry_n invent_v by_o the_o incomparable_a mathematician_n doctor_n c._n wren_n which_o be_v true_o noble_a and_o whole_o new_a and_o though_o it_o have_v be_v of_o no_o use_n in_o astronomy_n deserve_v none_o of_o the_o mean_a place_n in_o geometry_n by_o the_o help_n of_o which_o which_o be_v much_o more_o than_o either_o of_o the_o other_o way_n be_v capable_a of_o one_o may_v easy_o find_v the_o true_a parallax_n of_o the_o comet_n from_o any_o four_o exact_a observation_n of_o it_o make_v at_o differ_v time_n in_o the_o same_o place_n nor_o do_v it_o require_v so_o nice_a and_o accurate_a instrument_n and_o observator_n as_o be_v altogether_o necessary_a in_o the_o other_o way_n the_o problem_n as_o i_o receive_v it_o be_v this_o problema_fw-la datis_n quatuor_fw-la lineis_fw-la vicunque_fw-la ductis_fw-la quarum_fw-la nec_fw-la tres_fw-la sunt_fw-la parallelae_fw-la neque_fw-la ab_fw-la eodem_fw-la puncto_fw-la ductae_fw-la quintam_fw-la ducere_fw-la quae_fw-la à _fw-la quatuor_fw-la primo_fw-la datis_fw-la in_o tres_fw-la part_n secetur_fw-la ratione_fw-la &_o positione_n datas_fw-la sint_fw-la in_o figuris_fw-la 13_o 14_o 15_o 16_o 17_o &_o 18_o quatuor_fw-la rectae_fw-la adc_fw-la bec_n ae_n bd_o productae_fw-la versus_fw-la k_o γ_n φ_n m_o oportet_fw-la quintam_fw-la ducere_fw-la ut_fw-la km_fw-la quae_fw-la secetur_fw-la à _fw-la primo_fw-la datis_fw-la in_o segmenta_fw-la kn_n no_o om_o secundum_fw-la datas_fw-la rationes_fw-la r_o s_o t._n fiat_n ut_fw-la r_n ad_fw-la s_o t_o simul_fw-la sumptas_fw-la ita_fw-la cd_o ad_fw-la cf._n rursus_fw-la ut_fw-la t_o ad_fw-la s_o r_o simul_fw-la sumptas_fw-la ita_fw-la aec_fw-la ad_fw-la cg_n ductis_fw-la autens_fw-la agh_o bfh_o à _fw-la mutua_fw-la intersectione_n h_n ducantur_fw-la h_n γ_n k_o h_n φ_n m_o parallelae_fw-la nimirum_fw-la lineis_fw-la ac_fw-la bc_n quae_fw-la mediae_fw-la interjacent_a inter_fw-la extremas_fw-la bd_o ae_n denique_fw-la inter_fw-la puncta_fw-la extremarum_fw-la km_fw-la ducatur_fw-la recta_fw-la secans_fw-la medias_fw-la in_o no_z dico_fw-la segmenta_fw-la kn_n no_o om_o esse_fw-la in_o data_fw-la ratione_fw-la rst_n quoniam_fw-la fd_n parallela_fw-la est_fw-la ipsi_fw-la hk_n ergo_fw-la ut_fw-la cd_o ad_fw-la cf_n ita_fw-la k_o γ_n ad_fw-la γ_n h_n &_o quoniam_fw-la γ_n n_n parallela_fw-la est_fw-la ipsi_fw-la he_o ergo_fw-la ut_fw-la k_o γ_n ad_fw-la γ_n h_n ita_fw-la kn_n ad_fw-la nm_fw-la ergo_fw-la ut_fw-la kn_n ad_fw-la nm_fw-la ita_fw-la cd_o ad_fw-la cf_n say_v cd_o ad_fw-la cf_n est_fw-la ut_fw-la r_o ad_fw-la s_o t_o simul_fw-la sumptas_fw-la ergo_fw-la kn_n est_fw-la ad_fw-la nm_fw-la ut_fw-la r_n ad_fw-la st_n simul_fw-la sumptas_fw-la similiter_fw-la quoniam_fw-la eglantine_n parallela_fw-la est_fw-la ipsi_fw-la mh_o &_o φ_n o_o ipsi_fw-la hk_n demonstratur_fw-la more_n esse_fw-la ad_fw-la ok_n 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etc._n second_o that_o it_o have_v be_v observe_v and_o compute_v that_o communibus_fw-la annis_fw-la &_o locis_fw-la there_o fall_v water_n enough_o from_o the_o sky_n in_o actual_a rain_n snow_n or_o hail_n upon_o the_o surface_n of_o england_n to_o supply_v all_o the_o water_n that_o run_v back_o into_o the_o sea_n by_o the_o river_n and_o also_o all_o that_o may_v be_v suppose_v to_o evaporate_v nay_o though_o the_o quantity_n of_o the_o first_o be_v suppose_v twice_o as_o much_o as_o real_o it_o be_v this_o i_o have_v be_v assure_v by_o those_o that_o have_v both_o experiment_a and_o calculate_v it_o three_o that_o there_o be_v not_o yet_o certain_o that_o i_o know_v or_o have_v hear_v of_o any_o other_o way_n of_o make_v salt_n water_n fresh_a but_o by_o distillation_n which_o have_v there_o be_v such_o a_o art_n it_o will_v in_o all_o probability_n have_v be_v make_v use_n of_o and_o so_o there_o be_v little_a probability_n that_o the_o spring_n at_o the_o top_n of_o a_o high_a 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