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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
hand_n body_n eye_n see_v 5,452 5 3.9103 3 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A51133 Dioptrica nova, A treatise of dioptricks in two parts : wherein the various effects and appearances of spherick glasses, both convex and concave, single and combined, in telescopes and microscopes, together with their usefulness in many concerns of humane life, are explained / by William Molyneux of Dublin, Esq. ... Molyneux, William, 1656-1698.; Halley, Edmond, 1656-1742. 1692 (1692) Wing M2405; ESTC R3440 201,330 332

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the_o reason_n say_v he_o that_o the_o appearance_n through_o glass_n of_o the_o change_n of_o the_o object_n place_v do_v not_o so_o strong_o strike_v the_o sense_n as_o the_o doctrine_n here_o lay_v down_o seem_v to_o intimate_v proceed_v from_o hence_o that_o optick-glass_n be_v seldom_o or_o never_o make_v so_o large_a as_o to_o be_v look_v through_o by_o both_o eye_n at_o once_o for_o if_o they_o be_v he_o assert_n that_o the_o locus_fw-la apparens_fw-la objecti_fw-la will_v be_v much_o more_o plain_o and_o sensible_o determine_v to_o the_o sight_n in_o this_o particular_a certain_o he_o be_v much_o in_o the_o right_a for_o we_o see_v at_o all_o time_n that_o two_o eye_n make_v a_o more_o exact_a estimate_n of_o the_o position_n of_o a_o object_n than_o one_o single_a eye_n and_o we_o have_v a_o sensible_a experiment_n hereof_o in_o catoptric_n by_o the_o large_a concave_a miroirs_n where_o a_o hand_n and_o dagger_n present_v beyond_o the_o focus_n seem_v to_o strike_v far_o 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confusion_n and_o therefore_o by_o prop._n xxviii_o sec._n 3._o the_o vision_n be_v distinct_a i_o say_v also_o the_o object_n be_v see_v erect_v in_o the_o same_o figure_n g_o k_o be_v a_o convex-glass_n a_o b_o c_o a_o object_n we_o may_v imagine_v that_o each_o point_n of_o this_o object_n send_v from_o it_o a_o cone_n of_o ray_n fall_v on_o the_o whole_a surface_n of_o the_o glass_n but_o for_o avoid_v confusion_n in_o the_o scheme_n i_o only_o express_v and_o consider_v the_o ray_n c_o g_o c_o h_o from_o the_o point_n c_o and_o a_o k_o a_o i_o from_o the_o point_n a●_n o_o p_o be_v the_o crystalline_a of_o the_o eye_n the_o ray_n c_o g_o c_o h_o after_o pass_v the_o glass_n become_v parallel_n as_o g_o o_fw-fr h_o p_o and_o fall_v so_o on_o the_o crystalline_a by_o who_o refraction_n they_o be_v again_o bring_v together_o in_o the_o point_n d_o on_o the_o retina_fw-la there_o paint_v the_o lively_a representation_n of_o the_o point_n c_o and_o the_o same_o may_v be_v show_v of_o 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a_o e_o b_o f_o run_v parallel_n to_o the_o axis_n x_o c_o o_o these_o ray_n be_v unite_v in_o the_o focus_n at_o o_o at_o which_o point_n we_o suppose_v the_o eye_n produce_v o_o e_o and_o o_o f_o directly_z to_z g_o and_o k_o and_o draw_v e_o c_o f_o which_o by_o supposition_n be_v parallel_n to_o a_o x_o b_o and_o then_o draw_v a_o c_o b_o c._n the_o optick-angle_n through_o the_o glass_n be_v e_o o_o f_o which_o we_o be_v to_o prove_v equal_a to_o a_o c_o b._n thus_o a_o x_o and_o e_o c_o being_n parallel_n and_o a_o e_o x_o c_o be_v so_o likewise_o a_o x_o be_v equal_a to_o e_o c_o and_o a_o e_o to_o x_o c_o be_v the_o opposite_a side_n of_o a_o parallelogram_n but_o x_o c_o be_v equal_a to_z c_o o_fw-fr the_o focal_a length_n on_o one_o side_n and_o tother_o wherefore_o the_o right-angled_n triangle_n e_o c_o o_fw-fr be_v equal_a and_o similar_v to_o the_o right-angled_n triangle_n a_o x_o c._n wherefore_o the_o angle_n e_o o_o c_o be_v equal_a to_o the_o angle_n a_o c_o x_o or_o e_o o_o f_o be_v equal_a to_o a_o c_o b._n and_o consequent_o the_o eye_n at_o o_o see_v the_o object_n through_o the_o glass_n under_o the_o same_o angle_n as_o the_o naked_a eye_n be_v place_n at_o c_o will_v see_v it_o which_o be_v to_o be_v prove_v vid._n gregorii_n opt._n prom._n prop._n xliv_o scholium_fw-la this_o be_v the_o posture_n of_o both_o eye_n and_o object_n for_o cause_v the_o most_o perfect_a vision_n possible_a through_o a_o single_a convex_a glass_n unless_o perhaps_o we_o say_v that_o see_v all_o object_n which_o we_o perceive_v most_o distinct_o be_v pretty_a nigh_o our_o eye_n therefore_o we_o may_v conceive_v the_o
true_a respective_a focus_n but_o if_o we_o believe_v the_o say_v mons._n auzout_o by_o this_o way_n if_o this_o way_n which_o i_o propose_v be_v his_o as_o i_o know_v not_o whether_o it_o be_v or_o not_o one_o come_v near_o enough_o to_o exactness_n and_o perhaps_o as_o just_a as_o by_o most_o of_o the_o method_n ordinary_o use_v however_o though_o the_o practice_n through_o some_o accidental_a difficulty_n do_v not_o so_o exact_o answer_v the_o theory_n yet_o it_o can_v be_v deny_v that_o the_o theory_n be_v true_a and_o perhaps_o far_a improvement_n may_v bring_v it_o to_o perfection_n chap._n vii_o a_o optic_a problem_n of_o double_a vision_n in_o tab._n 4●_n fig._n 1._o 〈◊〉_d a_o b_o be_v the_o two_o eye_n c_o the_o nigh_a object_n d_o the_o far_a object_n if_o both_o eye_n open_a be_v fix_v upon_o c_o the_o object_n d_o shall_v seem_v double_a and_o then_o shut_v the_o left_a eye_n a_o the_o left_a image_n of_o d_o disappear_v and_o shut_v the_o right_a eye_n b_o the_o right_a image_n of_o d_o disappear_v but_o if_o both_o eye_n open_a be_v fix_v on_o d_o then_z c_z shall_v seem_v double_a and_o if_o the_o left_a eye_n a_o be_v shut_v the_o right_a image_n of_o c_o vanish_v if_o the_o right_a eye_n b_o be_v shu●_n the_o left_a image_n of_o c_o vanishes_z this_o be_v the_o declaration_n of_o the_o phaenomenon_n which_o any_o one_o may_v experiment_n by_o place_v two_o candle_n d_o 3_o foot_n and_o c_o 1_o foot_n distant_a from_o the_o eye_n and_o then_o stand_v so_o that_o the_o nose_n and_o two_o object_n may_v lie_v in_o or_o near_o a_o right_a line_n he_o fix_v his_o eye_n on_o either_o object_n alternate_o open_a and_o shut_v they_o i_o choose_v two_o candle_n and_o at_o that_o distance_n and_o posture_n because_o the_o experiment_n thereby_o will_v be_v more_o sensible_o evident_a though_o it_o hold_v in_o any_o two_o object_n at_o whatever_o distance_n till_o the_o distance_n be_v so_o great_a that_o the_o interval_n between_o the_o two_o eye_n bear_v no_o sensible_a proportion_n thereto_o that_o be_v till_o the_o angle_n acb_n and_o much_o more_o a_o d_o b_o be_v so_o very_o small_a that_o the_o line_n ac_fw-la bc_n may_v be_v take_v to_o run_v as_o it_o be_v parallel_v this_o be_v declare_v i_o explicate_v the_o reason_n of_o this_o appearance_n as_o follow_v in_o the_o first_o case_n both_o eye_n be_v fix_v on_o c_o if_o the_o right_a eye_n b_o be_v shut_v the_o object_n d_o will_v appear_v to_o the_o left_a hand_n of_o c_o then_o shut_v the_o left_a eye_n a_o and_o open_v the_o right_a eye_n b_o and_o look_v at_o c_o d_o will_v appear_v to_o the_o right_a hand_n of_o c_o therefore_o open_v both_o a_o and_o b_o and_o look_v steadfast_o on_o c_o the_o object_n d_o will_v appear_v on_o both_o side_n c_o that_o be_v both_o to_o the_o right_n and_o left_a hand_n of_o c_o and_o therefore_o double_a and_o it_o be_v manifest_a the_o right_a eye_n b_o receive_v the_o right_a image_n of_o d_o and_o the_o left_a eye_n a_o the_o left_a image_n of_o d_o therefore_o in_o this_o case_n to_o the_o right_a eye_n be_v shut_v the_o right_a image_n of_o d_o disappear_v and_o to_o the_o left_a eye_n be_v shut_v the_o left_a image_n of_o d_o disappear_v but_o in_o the_o second_o case_n fix_v both_o eye_n on_o d_o c_o seem_v double_a for_o the_o left_a eye_n a_o be_v shut_v c_o appear_v to_o b_o on_o the_o left_a hand_n of_o d_o then_o the_o right_a eye_n be_v shut_v the_o left_a eye_n a_o see_v c_o on_o the_o right_a hand_n of_o d_o so_o that_o in_o this_o case_n the_o right_a eye_n receive_v the_o left_a image_n of_o c_o and_o the_o left_a eye_n the_o right_a image_n of_o c_o and_o consequent_o the_o open_n or_o shut_v of_o either_o do_v in_o this_o case_n make_v the_o contrary_a image_n of_o c_o disappear_z and_o why_o c_o shall_v seem_v double_a be_v plain_a in_o this_o case_n for_o the_o right_a eye_n see_v it_o on_o the_o left_a hand_n of_o d_o and_o the_o left_a eye_n on_o the_o right_a hand_n of_o d_o so_o that_o both_o eye_n see_v it_o on_o both_o hand_n of_o d_o and_o therefore_o double_a but_o then_o in_o the_o first_o case_n the_o object_n d_o and_o not_o the_o object_n c_o seem_v double_a and_o in_o the_o second_o case_n the_o object_n c_o and_o not_o the_o object_n d_o seem_v double_a for_o in_o vision_n there_o be_v a_o difference_n between_o look_v and_o see_v whatever_o object_n i_o look_v at_o with_o both_o eye_n appear_v single_a and_o all_o other_o more_o remote_a or_o nigh_o that_o i_o see_v appear_v double_a for_o upon_o the_o object_n i_o look_v at_o the_o optic_a axe_n do_v concur_v but_o not_o so_o on_o those_o i_o only_o see_v and_o this_o be_v the_o reason_n that_o at_o any_o time_n i_o can_v make_v all_o the_o object_n about_o i_o seem_v confuse_v only_o by_o turn_v the_o optic_a axe_n so_o that_o they_o may_v concur_v in_o the_o free_a air_n as_o if_o there_o be_v a_o certain_a visible_a object_n there_o before_o they_o though_o real_o there_o be_v none_o and_o that_o the_o concurrence_n of_o the_o axe_n optici_fw-la in_o a_o single_a point_n or_o object_n be_v sufficient_a to_o make_v that_o object_n seem_v but_o one_o beside_o the_o proof_n of_o the_o forego_n experiment_n i_o shall_v endeavour_v to_o evince_v or_o at_o least_o to_o explicate_v by_o a_o other_o know_v affection_n of_o vision_n the_o explanation_n whereof_o be_v allow_v by_o all_o man_n as_o satisfactory_a it_o be_v this_o in_o tab._n 41._o fig._n 2._o 4._o the_o image_n a_o b_o of_o the_o object_n a_o b_o be_v paint_v on_o the_o retina_fw-la invert_v and_o yet_o the_o eye_n or_o rather_o the_o soul_n by_o mean_n of_o the_o eye_n see_v the_o object_n erect_v and_o in_o its_o natural_a posture_n because_o the_o mind_n take_v no_o notice_n of_o what_o happen_v to_o the_o ray_n in_o the_o eye_n by_o refraction_n or_o decussation_n but_o in_o its_o direction_n towards_o the_o object_n it_o follow_v straight_o alongst_o the_o ray_n as_o they_o by_o their_o impulse_n and_o in_o their_o plain_a course_n lead_v it_o and_o consequent_o follow_v the_o ray_n a_o a_o it_o be_v direct_v straight_o to_o the_o upper_a part_n of_o the_o object_n and_o also_o follow_v the_o ray_n b_o b_o it_o be_v direct_v to_o the_o low_a part_n of_o the_o object_n and_o so_o of_o the_o rest_n for_o suppose_v the_o ball_n of_o the_o eye_n take_v out_o of_o its_o socket_n or_o cavity_n in_o the_o skull_n and_o a_o man_n receive_v in_o the_o socket_n a_o impulse_n by_o a_o stick_n come_v in_o the_o posture_n of_o b_o b_o and_o hit_v he_o on_o the_o upper_a part_n of_o the_o cavity_n sure_o he_o will_v never_o look_v for_o the_o original_a of_o this_o blow_n at_o a_o but_o will_v be_v certain_o direct_v to_o hunt_v back_o as_o it_o be_v alongst_o the_o stick_n b_o b_o towards_o the_o place_n from_o whence_o the_o stroke_n come_v so_o the_o mind_n do_v hunt_v back_o by_o mean_n of_o each_o pencil_n of_o ray_n which_o be_v as_o it_o be_v a_o stick_n give_v the_o retina_fw-la a_o certain_a impulse_n to_o the_o point_n from_o whence_o it_o come_v and_o be_v thereby_o direct_v straight_o thereto_o to_o apply_v this_o to_o what_o i_o intend_v i_o say_v then_o that_o the_o mind_n or_o visive_a faculty_n if_o i_o may_v have_v leave_n to_o use_v that_o word_n for_o a_o thing_n we_o all_o understand_v and_o can_v better_o express_v take_v no_o notice_n that_o there_o be_v two_o axe_n optici_fw-la or_o two_o picture_n make_v by_o those_o axe_n optici_fw-la on_o each_o retina_fw-la but_o follow_v back_o and_o hunt_v counter_a alongst_o these_o axe_n it_o be_v direct_v to_o and_o determine_v in_o one_o single_a point_n and_o therefore_o it_o see_v it_o as_o one_o and_o see_v this_o speculation_n do_v natural_o lead_v i_o to_o the_o consideration_n of_o a_o opinion_n first_o as_o i_o think_v start_v by_o the_o celebrate_v gassendus_fw-la and_o since_o embrace_v by_o many_o viz._n that_o we_o see_v but_o with_o one_o eye_n at_o once_o one_o and_o the_o same_o point_n of_o a_o object_n otiante_fw-la alio_fw-la as_o they_o term_v it_o whilst_o the_o other_o be_v idle_a and_o do_v nothing_o i_o shall_v not_o think_v it_o improper_a to_o subjoin_v to_o my_o former_a discourse_n something_o relate_v to_o that_o opinion_n confine_v myself_o only_o to_o what_o may_v something_o illustrate_v my_o former_a explanation_n for_o to_o enumerate_v all_o the_o experiment_n that_o prove_v we_o see_v with_o two_o eye_n will_v swell_v this_o far_o beyond_o the_o limit_n i_o design_v it_o therefore_o to_o the_o matter_n against_o our_o see_v with_o two_o eye_n at_o once_o one_o and_o the_o
same_o point_n of_o a_o object_n it_o be_v common_o object_v that_o if_o it_o be_v so_o every_o object_n will_v seem_v in_o two_o place_n at_o once_o vide_fw-la gassendi_n epist._n 4._o de_fw-la magnit_fw-la solis_fw-la humilis_fw-la &_o sublimis_fw-la &_o taqueti_n opt._n lib._n 1._o prop._n 2._o thus_o in_o tab._n 41._o fig._n 3._o 3._o if_o the_o eye_n a_o b_o look_v at_o the_o object_n c_o and_o both_o see_v it_o at_o a_o time_n a_o will_v see_v it_o on_o the_o opposite_a wall_n suppose_v at_o e_o and_o b_o at_z d._n i_o be_o so_o far_o from_o think_v this_o a_o objection_n that_o i_o assert_v first_o that_o we_o do_v see_v all_o object_n in_o two_o place_n and_o that_o this_o be_v not_o take_v notice_n of_o by_o we_o upon_o these_o account_n first_o the_o common_a object_n of_o our_o sight_n be_v large_a and_o the_o axe_n of_o our_o eye_n direct_v to_o but_o one_o physical_a point_n thereof_o at_o a_o time_n and_o then_o we_o can_v be_v expect_v to_o see_v such_o in_o two_o place_n at_o once_o for_o when_o i_o read_v on_o a_o flat_a broad_a book_n where_o be_v the_o opposite_a wall_n for_o a_o single_a small_a letter_n to_o be_v see_v on_o at_o two_o place_n the_o letter_n themselves_o be_v fix_v to_o the_o surface_n that_o determine_v the_o sight_n what_o i_o instance_n in_o letter_n on_o a_o book_n may_v be_v accommodate_v to_o most_o other_o object_n second_o there_o be_v few_o object_n dispose_v fit_o for_o show_v we_o that_o we_o see_v they_o in_o two_o place_n for_o either_o their_o bulk_n hinder_v the_o experiment_n from_o appear_v so_o plain_o or_o their_o distance_n from_o each_o other_o or_o from_o the_o eye_n three_o the_o wall_n de_fw-fr and_o the_o part_n thereof_o be_v see_v so_o confuse_o by_o the_o eye_n a_o b_o when_o fix_v on_o c_o that_o we_o can_v so_o clear_o observe_v this_o experiment_n and_o this_o happen_v to_o all_o object_n more_o remote_a or_o nigh_a to_o we_o than_o c_o when_o the_o eye_n be_v fix_v on_o c_o still_a suppose_v that_o itself_o be_v but_o in_o a_o moderate_a distance_n from_o we_o that_o be_v in_o such_o a_o distance_n from_o we_o as_o may_v bear_v some_o considerable_a proportion_n to_o the_o distance_n of_o the_o two_o eye_n from_o each_o other_o four_o the_o chief_a reason_n why_o we_o do_v not_o perceive_v so_o plain_o the_o object_n c_o to_o cover_z both_z d_o and_o e_z be_v because_o though_o d_o be_v cover_v by_o c_o from_o the_o eye_n b_o yet_o it_o be_v not_o cover_v from_o the_o eye_n a_o and_o therefore_o we_o think_v it_o not_o cover_v at_o all_o also_o though_o e_z be_v cover_v by_o c_o from_o the_o eye_n a_o yet_o it_o be_v not_o cover_v from_o the_o eye_n b_o and_o consequent_o because_o we_o see_v e_o though_o but_o with_o one_o eye_n b_o we_o imagine_v it_o not_o cover_v at_o all_o so_o that_o both_o the_o point_n d_o and_o e_o being_n open_v to_o both_o the_o eye_n a_o and_o b_o viz._n the_o point_n d_o to_o the_o eye_n a_o and_o the_o point_n e_o to_o the_o eye_n b_o we_o think_v neither_o of_o they_o cover_v whereas_o real_o they_o be_v both_o obscure_v each_o to_o its_o proper_a eye_n as_o will_v be_v evident_a by_o wink_v and_o from_o hence_o be_v manifest_v the_o falsity_n of_o taquet_n assertion_n in_o the_o forecited_a place_n viz._n that_o open_v both_o eye_n a_o and_o b_o fig._n 3._o and_o look_v at_o c_o it_o shall_v appear_v only_o to_o cover_v e_o he_o imagine_v that_o most_o man_n see_v general_o with_o their_o left_a eye_n whereas_o i_o say_v it_o shall_v appear_v to_o obscure_v neither_o e_z nor_o d_o though_o to_o each_o eye_n respective_o it_o cover_v each_o five_o whereas_o the_o bulk_n of_o object_n as_o i_o have_v note_v do_v hinder_v the_o experiment_n from_o be_v so_o sensible_o evident_a if_o by_o any_o experiment_n i_o can_v show_v how_o a_o large_a object_n may_v be_v double_v i_o think_v it_o will_v be_v sufficient_o plain_a therefore_o in_o tab._n 41._o fig._n 4._o 2._o let_v a_o b_o be_v the_o two_o eye_n before_o which_o at_o a_o convenient_a distance_n place_n the_o two_o candle_n c_o d_o then_o take_v a_o large_a piece_n of_o paper_n e_o f_o g_o h_n k_n in_o who_o middle_a at_o k_o there_o be_v a_o small_a hole_n this_o paper_n so_o place_n between_o the_o eye_n and_o candle_n that_o the_o eye_n a_o may_v through_o the_o hole_n k_o see_v the_o candle_n d_o and_o at_o the_o same_o time_n the_o eye_n b_o may_v see_v through_o the_o hole_n k_o the_o candle_n c_o the_o due_a distance_n of_o the_o paper_n that_o be_v requisite_a for_o this_o will_v be_v find_v by_o trial_n and_o wink_v alternate_o with_o the_o eye_n when_o all_o thing_n be_v in_o this_o posture_n open_v both_o eye_n a_o and_o b_o and_o direct_v they_o to_o look_v at_o either_o of_o the_o candle_n i_o say_v the_o hole_n k_o shall_v seem_v double_a and_o what_o be_v prove_v of_o the_o point_n k_o be_v true_a of_o all_o other_o point_n in_o the_o paper_n so_o the_o whole_a paper_n appear_v double_a but_o no_o point_n thereof_o be_v so_o evident_o double_v as_o the_o point_n k_o because_o they_o want_v the_o advantage_n of_o light_n behind_o they_o to_o render_v the_o experiment_n more_o sensible_a and_o upon_o this_o occasion_n i_o can_v but_o hint_n to_o all_o person_n that_o be_v desirous_a to_o make_v experiment_n about_o vision_n that_o they_o always_o employ_v the_o most_o luminous_a and_o vigorous_a object_n they_o can_v possible_o for_o many_o experiment_n will_v be_v evident_a by_o they_o that_o will_v not_o sensible_o succeed_v with_o other_o but_o i_o assert_v second_o that_o unless_o we_o see_v with_o both_o eye_n the_o two_o first_o mention_v experiment_n will_v not_o succeed_v and_o they_o may_v be_v reckon_v among_o the_o great_a argument_n that_o can_v be_v produce_v for_o it_o for_o suppose_v in_o fig._n 1._o a_o and_o b_o to_o look_v steadfast_o on_o c_o i_o say_v they_o see_v c_o in_o two_o place_n at_o once_o for_o they_o see_v it_o both_o on_o the_o right_a hand_n and_o left_a hand_n of_o d._n for_o it_o be_v the_o same_o thing_n to_o see_v c_o between_o two_o d_n as_o to_o see_v it_o at_o two_o place_n at_o once_o and_o this_o i_o will_v declare_v more_o full_o tab._n 41._o fig._n 5._o 5._o suppose_v the_o two_o eye_n a_o and_o b_o fix_v on_o the_o object_n c_o i_o say_v c_o appear_v on_o the_o opposite_a wall_n x_o z_o in_fw-la two_o place_n viz._n at_o e_o and_o f_o though_o neither_o e_z nor_o f_o be_v obscure_v thereby_o for_o the_o forego_n reason_n for_o let_v we_o suppose_v the_o object_n d_o of_o the_o first_o figure_n to_o be_v place_v due_o on_o this_o wall_n shut_v a_o the_o object_n c_o shall_v appear_v to_o b_o on_o the_o left_a hand_n of_o d_o by_o the_o angle_n d_o b_o e_o then_o shut_v b_o the_o object_n c_o shall_v appear_v to_o a_o on_o the_o right_a hand_n of_o d_o by_o the_o angle_n daf_n wherefore_o to_o both_o open_a at_o a_o time_n and_o look_v at_o it_o it_o shall_v appear_v on_o both_o side_n of_o d_o to_z a_o on_o the_o right_a side_n to_z b_o on_o the_o 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of_o our_o adversary_n why_o not_o to_o see_v c_o also_o at_o which_o they_o steadfast_o look_v appendix_n whilst_o this_o book_n be_v in_o the_o press_n my_o affair_n be_v such_o that_o i_o can_v not_o attend_v the_o perusal_n and_o correction_n thereof_o but_o therein_o have_v make_v use_n of_o my_o friend_n mr._n e._n halley_n who_o be_v willing_a to_o do_v i_o that_o service_n he_o after_o the_o first_o part_n hereof_o be_v finish_v send_v i_o a_o proposition_n of_o his_o own_o which_o i_o take_v to_o be_v of_o that_o
videbuntur_fw-la propinquissimè_fw-la &_o è_fw-la conuerso_fw-la sic_fw-la etiam_fw-la faceremus_fw-la solemn_a &_o lunam_fw-la &_o stellas_fw-la descendere_fw-la secundum_fw-la apparentiam_fw-la hic_fw-la inferius_fw-la etc._n etc._n thus_o in_o english_a great_a wonder_n than_o all_o these_o be_v perform_v by_o refracted_a vision_n for_o thereby_o it_o be_v easy_o make_v appear_v that_o the_o great_a object_n may_v be_v represent_v as_o very_o little_a and_o contrary_o and_o so_o likewise_o the_o most_o distant_a object_n as_o just_a at_o hand_n and_o contrary_o hereby_o also_o may_v we_o bring_v the_o sun_n and_o moon_n and_o star_n down_o here_o below_o in_o appearance_n etc._n etc._n this_o i_o think_v be_v so_o express_v in_o the_o point_n that_o it_o leave_v no_o room_n to_o doubt_v but_o that_o he_o have_v some_o admirable_a secret_n in_o optic_a glass_n add_v to_o this_o what_o he_o have_v in_o his_o epistle_n ad_fw-la parisiensem_fw-la of_o the_o secret_n of_o art_n and_o nature_n cap._n 5._o possunt_fw-la etiam_fw-la sic_fw-la figurari_fw-la perspicua_fw-la ut_fw-la longissimè_fw-la posita_fw-la appareant_fw-la propinquissima_fw-la &_o è_fw-la contrario_fw-la ita_fw-la quod_fw-la ex_fw-la incredibili_fw-la distantia_fw-la legeremus_fw-la literas_fw-la minutissimas_fw-la &_o numeraremus_fw-la res_fw-la quantumcunque_fw-la paruas_fw-la &_o stellas_fw-la faceremus_fw-la apparere_fw-la quò_fw-la vellemus_fw-la glass_n or_o diaphanous_a body_n say_v he_o may_v be_v so_o form_v that_o the_o most_o remote_a object_n may_v appear_v as_o just_a at_o hand_n and_o contrary_o so_o that_o we_o may_v read_v the_o small_a letter_n at_o a_o incredible_a distance_n and_o may_v number_v thing_n though_o never_o so_o small_a and_o may_v make_v the_o star_n appear_v as_o near_o as_o we_o please_v and_o that_o these_o thing_n may_v not_o seem_v incredible_a of_o this_o great_a man_n who_o in_o that_o dark_a ignorant_a age_n can_v be_v master_n of_o these_o admirable_a invention_n i_o shall_v refer_v the_o reader_n for_o a_o more_o complete_a account_n of_o he_o to_o ant._n a_o wood_n hist._n &_o antiquit_n universit_fw-la oxoniensis_fw-la lib._n 1._o pag._n 136._o and_o to_o dr._n plott_n nat_n hist._n of_o oxfordshire_n cap._n 9_o sect._n 2_o 3_o etc._n etc._n and_o sect._n 39_o 40_o 41._o where_o we_o may_v find_v how_o he_o be_v persecute_v by_o the_o ignorant_a malicious_a friar_n of_o his_o order_n as_o practise_v magic_a and_o necromancy_n for_o which_o they_o cast_v he_o into_o prison_n and_o there_o detain_v he_o for_o a_o long_a time_n some_o say_v to_o his_o death_n in_o the_o 78th_o year_n of_o his_o age._n there_o we_o shall_v find_v how_o he_o be_v the_o first_o promoter_n of_o the_o emendation_n of_o the_o calendar_n complete_v afterward_o in_o the_o time_n of_o pope_n gregory_n two_o but_o above_o all_o gunpowder_n his_o pretence_n to_o the_o first_o invention_n of_o gunpowder_n seem_v as_o well_o found_v as_o possible_a on_o this_o passage_n in_o his_o epistola_fw-la ad_fw-la parisiensem_fw-la cap._n 6._o a_o hundred_o year_n before_o barthold_n swartz_n live_v in_o omnem_fw-la distantiam_fw-la quam_fw-la volumus_fw-la possumus_fw-la artificialiter_fw-la componere_fw-la ignem_fw-la comburentem_fw-la ex_fw-la sale_n petrae_fw-la &_o aliis_fw-la these_o alia_fw-la in_o another_o manuscript_n copy_n be_v sulphur_n &_o carbonum_fw-la pulvis_fw-la and_o soon_o after_o he_o add_v praeter_fw-la haec_fw-la i._n e._n combustionem_fw-la sunt_fw-la alia_fw-la stupenda_fw-la naturae_fw-la nam_fw-la soni_fw-la velut_fw-la tonitrus_fw-la &_o coruscationes_fw-la possunt_fw-la fieri_fw-la in_o aere_fw-la imò_fw-la majore_fw-la horrore_fw-la quam_fw-la illa_fw-la quae_fw-la fiunt_fw-la per_fw-la naturam_fw-la nam_fw-la modica_fw-la materia_fw-la adapta_fw-la sc_n ad_fw-la quantitatem_fw-la unius_fw-la pollicis_fw-la sonum_fw-la facit_fw-la horribilem_fw-la &_o coruscationem_fw-la ostendit_fw-la violentem_fw-la &_o hoc_fw-la fit_a multis_fw-la modis_fw-la quibus_fw-la civitas_n aut_fw-la exercitus_fw-la destruatur_fw-la igne_fw-la exsiliente_fw-la cum_fw-la fragore_fw-la ●●estimabili_fw-la mira_n haec_fw-la sint_fw-la si_fw-la quis_fw-la sciret_fw-la uti_fw-la in_fw-la debita_fw-la quantitate_fw-la &_o materia_fw-la by_o which_o last_o passage_n we_o may_v guess_v he_o have_v not_o the_o way_n of_o apply_v it_o to_o a_o gun_n though_o it_o be_v manifest_a he_o be_v sensible_a that_o some_o such_o use_n may_v be_v make_v of_o it_o but_o the_o particular_a manner_n do_v not_o offer_v itself_o to_o he_o at_o first_o i_o confess_v note_n i_o have_v not_o by_o i_o at_o this_o time_n the_o original_n from_o whence_o these_o passage_n be_v quote_v the_o present_a distraction_n of_o our_o miserable_a country_n have_v separate_v i_o and_o my_o book_n and_o the_o place_n where_o i_o be_o afford_v not_o the_o copy_n therefore_o if_o in_o these_o quotation_n i_o be_o any_o wise_a mistake_v i_o must_v not_o be_v blame_v acknowledge_v that_o i_o have_v they_o at_o second_o hand_n from_o the_o forename_a author_n but_o to_o return_v to_o our_o optick-glass_n it_o be_v evident_a that_o bacon_n be_v acquaint_v with_o they_o and_o probable_o know_v how_o to_o adapt_v they_o in_o a_o telescope_n but_o the_o long_a and_o close_a imprisonment_n he_o suffer_v before_o his_o death_n for_o it_o be_v say_v no_o one_o be_v permit_v to_o speak_v to_o he_o and_o that_o all_o his_o write_n book_n and_o instrument_n be_v seize_v and_o burn_v except_o only_o those_o few_o fragment_n of_o he_o which_o we_o have_v save_v accidental_o be_v the_o reason_n that_o we_o have_v no_o far_a advancement_n of_o his_o in_o this_o kind_n transmit_v to_o posterity_n but_o it_o be_v very_o probable_a that_o the_o use_n of_o single_a glass_n in_o spectacle_n as_o be_v a_o invention_n of_o immediate_a advantage_n to_o human_a life_n and_o in_o itself_o very_o easy_a and_o simple_a may_v therefore_o be_v present_o catch_v at_o by_o the_o world_n and_o put_v into_o practice_n whilst_o his_o other_o more_o curious_a combination_n of_o glass_n may_v be_v lose_v and_o forget_v and_o this_o i_o be_o the_o more_o inclinable_a to_o believe_v first_o because_o friar_n bacon_n time_n agree_v so_o well_o with_o friar_n iordan_n forecited_a testimony_n an._n 1305._o that_o it_o be_v not_o then_o twenty_o year_n since_o the_o invention_n of_o spectacle_n and_o second_o because_o we_o find_v this_o sort_n of_o monkish_a man_n first_o take_v notice_n of_o the_o invention_n before_o all_o other_o man_n which_o show_v they_o have_v it_o deliver_v among_o themselves_o only_o for_o a_o while_n before_o other_o 6._o and_o thus_o much_o concern_v friar_n bacon_n pretence_n telescope_n but_o that_o i_o may_v not_o seem_v altogether_o partial_a i_o shall_v here_o add_v the_o opinion_n of_o other_o concern_v other_o inventor_n of_o the_o telescope_n for_o i_o find_v no_o other_o pretender_n to_o the_o invention_n of_o single_a convex_a and_o concave_a glass_n but_o the_o forename_a borellus_n have_v write_v a_o small_a tract_n purposely_o on_o this_o subject_a de_fw-fr vero_fw-la telescopii_fw-la inventore_n wherein_o cap._n 12._o he_o seem_v to_o give_v the_o invention_n to_o zacharias_n joannides_n of_o middleburg_n in_o zealand_n johnson_n an._n 1590._o another_o candidate_n for_o this_o discovery_n he_o name_v johannes_n lipperhoy_n or_o la_fw-fr prey_n lipperhoy_n an._n 1609._o a_o dutchman_n also_o who_o surturus_fw-la call_v lippersein_n adrianus_n metius_n mathematic_a professor_n at_o franequer_n say_v metius_n his_o brother_n jacobus_n metius_n of_o alkmaer_n be_v certain_o the_o first_o inventor_n of_o the_o telescope_n and_o if_o we_o believe_v the_o italian_n we_o shall_v have_v the_o honour_n of_o invent_v this_o instrument_n confer_v on_o the_o incomparable_a galileo_n but_o he_o himself_o in_o his_o nuncius_fw-la sidereus_fw-la confess_v that_o the_o first_o intimation_n he_o receive_v of_o this_o instrument_n be_v that_o a_o dutchman_n have_v then_o late_o make_v one_o which_o set_v he_o galileo_n upon_o the_o thought_n how_o to_o effect_v it_o which_o he_o say_v he_o successful_o discover_v by_o the_o consideration_n of_o refraction_n and_o find_v that_o a_o concave_a and_o a_o convex_a glass_n right_o adapt_v will_v perform_v what_o he_o only_o hear_v in_o general_a of_o the_o dutch_a invention_n but_o certain_o the_o first_o public_a notice_n of_o this_o contrivance_n come_v from_o some_o of_o the_o forementioned_a dutchman_n for_o friar_n bacon_n hint_n mention_n not_o the_o particular_a combination_n of_o the_o glass_n and_o therefore_o the_o instrument_n be_v deserve_o call_v tubus_fw-la batavus_fw-la though_o we_o must_v confess_v at_o the_o same_o time_n that_o galileo_n an._n 1610._o see_v his_o nu●cius_fw-la sidereus_fw-la do_v first_o apply_v this_o curious_a instrument_n to_o celestial_a observation_n and_o have_v then_o make_v such_o wonderful_a discovery_n in_o the_o heaven_n thereby_o that_o all_o his_o philosophic_a successor_n have_v ever_o since_o attempt_v to_o climb_v high_o by_o lengthen_v their_o ladder_n and_o advance_v this_o instrument_n by_o many_o degree_n however_o i_o must_v not_o here_o conceal_v the_o pretence_n of_o baptista_n porta_n porta_n who_o in_o his_o magia_n
be_v observe_v in_o this_o planet_n be_v a_o spot_n first_o see_v by_o our_o ingenious_a mr._n hook_n may_v 9_o h._n 9_o p._n m._n 1665._o rotation_n by_o this_o spot_n it_o be_v manifest_a that_o jupiter_n turn_v round_o his_o own_o axis_n in_o the_o space_n of_o less_o than_o 10_o hour_n or_o about_o 9_o ●_o 56_o ●_o earth_n a_o very_a strong_a argument_n to_o prove_v that_o our_o earth_n may_v do_v so_o likewise_o since_o jupiter_n who_o be_v so_o considerable_o big_a than_o the_o earth_n have_v a_o motion_n much_o more_o quick_a than_o we_o in_o 24_o h._n kepler_n upon_o the_o restauration_n of_o the_o pythagorean_n or_o copernican_n hypothesis_n do_v conjecture_v from_o the_o motion_n of_o the_o primary_n planet_n about_o the_o sun_n as_o their_o centre_n that_o the_o sun_n move_v about_o its_o own_o axis_n but_o can_v not_o evince_v it_o till_o future_a observation_n by_o the_o telescope_n discover_v spot_n in_o the_o sun_n and_o by_o they_o demonstrate_v that_o the_o sun_n revolve_v on_o its_o own_o axis_n in_o 25_o ¼_n day_n jupiter_n have_v four_o secondary_a planet_n move_v round_o he_o and_o he_o himself_o in_o their_o centre_n turn_v on_o his_o axis_n our_o earth_n have_v a_o secundary_a planet_n the_o moon_n that_o move_v round_o she_o once_o a_o month_n be_v it_o not_o therefore_o high_o probable_a that_o the_o earth_n also_o revolve_v diurnal_o on_o its_o axis_n for_o a_o far_a account_n of_o this_o spot_n in_o jupiter_n i_o refer_v to_o the_o philosoph_n transact_v n._n 1._o p._n 3._o n._n 4._o p._n 75._o n._n 8._o p._n 143._o n._n 12._o p._n 209._o n._n 15._o p._n 246._o n._n 82._o p._n 4039._o 12._o e●tion_n but_o before_o i_o leave_v saturn_n and_o jupiter_n i_o can_v but_o take_v notice_n of_o one_o admirable_a property_n for_o the_o knowledge_n whereof_o we_o be_v behold_v to_o the_o telescope_n and_o that_o be_v the_o wonderful_a agreement_n which_o be_v find_v in_o all_o the_o several_a system_n of_o our_o vortex_n as_o well_o between_o the_o general_n system_n of_o the_o sun_n and_o primary_n planet_n with_o the_o particular_a system_n of_o saturn_n or_o jupiter_n planet_n as_o between_o the_o particular_a system_n themselves_o in_o this_o single_a property_n that_o the_o periodical_a time_n of_o the_o planet_n revolution_n be_v in_o a_o sesquialtera_fw-la ratio_fw-la of_o their_o distance_n from_o the_o centre_n of_o the_o planet_n about_o which_o they_o revolve_v that_o be_v as_o the_o square_n of_o the_o period_n of_o the_o first_o satellite_fw-la for_o instance_n to_o the_o square_n of_o the_o period_n of_o the_o second_o so_o the_o cube_n of_o the_o distance_n of_o the_o first_o from_o jupiter_n centre_n to_o the_o cube_n of_o the_o distance_n of_o the_o second_o from_o his_o centre_n this_o hold_v most_o exquisite_o true_a in_o jupiter_n satellite_n as_o be_v note_v by_o the_o admirable_o learn_v mr._n newton_n in_o his_o incomparable_a treatise_n philosophiae_fw-la naturalis_fw-la principia_fw-la mathematica_fw-la lib._n 3._o hypoth_o 5._o and_o the_o same_o law_n of_o motion_n be_v strict_o observe_v by_o the_o five_o primary_n planet_n and_o the_o earth_n about_o the_o sun_n as_o he_o note_n hypoth_o 7_o 8._o this_o be_v also_o verify_v by_o mons._n cassini_n in_o the_o five_o satellite_n of_o saturn_n as_o appear_v by_o his_o account_n of_o they_o in_o the_o philosoph_n transact_v num._n 92._o p._n 5178._o n._n 133._o p._n 831._o n._n 181._o p._n 79._o and_o from_o hence_o may_v we_o just_o fall_v into_o the_o deep_a admiration_n that_o one_o and_o the_o same_o law_n of_o motion_n shall_v be_v observe_v in_o body_n so_o vast_o distant_a from_o each_o other_o and_o which_o seem_v to_o have_v no_o dependence_n or_o correspondence_n with_o each_o other_o this_o do_v most_o evident_o demonstrate_v that_o they_o be_v all_o at_o first_o put_v into_o motion_n by_o one_o and_o the_o same_o unerring_a hand_n even_o the_o infinite_a power_n and_o wisdom_n of_o god_n who_o have_v fix_v this_o order_n among_o they_o all_o and_o have_v establish_v a_o law_n which_o they_o can_v transgress_v chance_n or_o dull_a matter_n can_v never_o produce_v such_o a_o harmonious_a regularity_n in_o the_o motion_n of_o body_n so_o vast_o distant_a this_o plain_o show_v a_o design_n and_o intention_n in_o the_o first_o mover_n and_o with_o submission_n to_o the_o reverend_n and_o learned_a divine_n i_o be_o apt_a to_o think_v that_o one_o argument_n draw_v from_o the_o order_n beauty_n and_o design_n of_o thing_n be_v more_o forecible_a against_o atheism_n than_o multitude_n of_o notional_a proof_n draw_v from_o idea_n apparition_n of_o spectre_n witch_n 〈◊〉_d etc._n etc._n not_o that_o these_o shall_v lose_v their_o due_a strength_n for_o beside_o the_o heaven_n even_o the_o little_a globe_n we_o inhabit_v afford_v we_o infinite_a variety_n in_o this_o kind_n and_o for_o my_o own_o part_n i_o must_v confess_v i_o can_v read_v more_o divinity_n in_o mr._n charlton_n admirable_a musaeum_fw-la on_o a_o box_n of_o beautiful_a shell_n of_o delicate_o paint_a plant_n curious_o adorn_v infect_v serpent_n bird_n or_o mineral_n than_o in_o large_a volume_n of_o notional_a writer_n for_o animal_n plant_n and_o mineral_n do_v yield_v we_o abundant_a instance_n which_o visible_o show_v a_o design_n or_o end_v propose_v which_o as_o it_o can_v possible_o consist_v with_o chance_n so_o neither_o can_v it_o be_v apprehend_v to_o have_v be_v so_o ab+aeterno_fw-la for_o it_o be_v absolute_o unconceivable_a that_o a_o thing_n design_v for_o some_o end_n or_o purpose_n shall_v not_o be_v so_o design_v in_o time_n by_o some_o design_v be_v but_o i_o beg_v pardon_n for_o this_o digression_n in_o which_o i_o be_o thus_o engage_v before_o i_o be_v aware_a to_o return_v therefore_o to_o our_o subject_n mars_n mars_n offer_v himself_o next_o who_o trust_v in_o his_o own_o strength_n be_v attend_v by_o no_o guard_n but_o the_o pry_v telescope_n discover_v in_o his_o face_n scar_n spot_n and_o ruggedness_n as_o we_o may_v find_v in_o the_o philosoph_n transact_v num._n 14._o p._n 239._o etc._n etc._n by_o these_o spot_n the_o acute_a cassini_n have_v determine_v rotation_n that_o he_o turn_v on_o his_o own_o axis_n once_o in_o 24_o h._n 40●_n though_o other_o assign_v his_o revolution_n perform_v in_o just_a half_a that_o time_n a_o mistake_v easy_a enough_o vid._n ibidem_fw-la the_o fiery_a face_n of_o this_o planet_n require_v a_o very_a good_a telescope_n to_o view_v he_o and_o a_o small_a aperture_n on_o the_o object-glass_n or_o else_o this_o glare_a light_n make_v but_o a_o confuse_a appearance_n but_o however_o furious_a his_o beam_n be_v he_o be_v behold_v for_o they_o as_o all_o the_o rest_n of_o the_o planet_n to_o the_o great_a fountain_n of_o light_n and_o heat_v the_o sun_n for_o what_o the_o great_a distance_n of_o saturn_n and_o jupiter_n and_o their_o be_v so_o much_o above_o the_o sun_n as_o i_o may_v so_o speak_v hinder_v we_o from_o see_v decrease_v viz._n their_o increase_n and_o decrease_v in_o light_n like_o our_o moon_n be_v very_o visible_a in_o the_o planet_n mars_n who_o in_o his_o quadrature_n with_o the_o sun_n and_o in_o his_o perigeon_n may_v be_v see_v almost_o bissect_v but_o never_o corniculate_v or_o falcate_v as_o the_o other_o inferior_n vid._n hevelii_n selenograph_n cap._n 4._o p._n 66._o spot_n the_o glorious_a sun_n do_v next_o present_n in_o who_o bright_a face_n we_o can_v hardly_o expect_v to_o find_v dark_a spot_n yet_o such_o there_o be_v and_o frequent_v too_o scheinerus_n in_o his_o rosa_fw-la ursma_n have_v publish_v a_o large_a book_n in_o fol._n of_o nothing_o else_o and_o hevelius_n at_o the_o end_n of_o his_o selenography_n have_v many_o observation_n of_o these_o maculae_fw-la as_o also_o of_o some_o bright_a spot_n in_o the_o sun_n call_v faculae_fw-la the_o way_n of_o observe_v they_o be_v teach_v at_o large_a in_o the_o foresay_a author_n and_o be_v in_o short_a either_o by_o admit_v the_o light_n of_o the_o sun_n through_o a_o telescope_n upon_o a_o white_a paper_n in_o a_o dark_a room_n or_o by_o arm_v the_o eye_n with_o a_o small_a thin_a glass_n smoke_v over_o a_o torch_n lamp_n or_o candle_n and_o with_o it_o look_v through_o a_o telescope_n at_o the_o sun_n body_n rotation_n the_o only_a discovery_n that_o have_v be_v make_v by_o these_o maculae_fw-la be_v that_o the_o sun_n revolve_v round_o his_o own_o axis_n in_o the_o space_n of_o about_o 25_o ¼_n day_n but_o for_o a_o complete_a and_o succinct_a account_n of_o the_o theory_n of_o these_o maculae_fw-la and_o their_o motion_n i_o refer_v the_o reader_n to_o the_o excellent_a mathematician_n andrew_n tacquet_n astronom_n lib._n 8._o tract_n 3._o num._n 7._o it_o be_v only_a to_o be_v note_v that_o for_o these_o several_a year_n past_a the_o appearance_n of_o these_o maculae_fw-la have_v be_v much_o more_o