Selected quad for the lemma: reason_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
reason_n angle_n equal_a line_n 4,117 5 11.1250 5 true
View all documents for the selected quad

Text snippets containing the quad

ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A44631 Remarks on the new philosophy of Des-Cartes in four parts ... / done by a gentleman. Howard, Edward. 1700 (1700) Wing H2978; ESTC R11446 138,891 395

There are 4 snippets containing the selected quad. | View original text

wallis_n who_o mention_n the_o controvert_v question_n concern_v the_o angle_n of_o contact_n make_v by_o a_o straight_a line_n where_o it_o touch_v the_o circle_n but_o in_o his_o opinion_n think_v it_o nothing_o if_o not_o a_o right_a angle_n in_o be_v perpendicular_a to_o the_o peripherial_a point_n of_o the_o circle_n because_o not_o otherwise_o numerical_o computable_a he_o also_o insert_v his_o disceptation_n as_o i_o remember_v by_o letter_n that_o pass_v betwixt_o he_o and_o a_o certain_a learned_a person_n who_o undertake_v to_o defend_v against_o he_o the_o determination_n of_o the_o famous_a mathematician_n clavius_n in_o who_o judgement_n the_o angle_n of_o contact_n be_v proper_o something_a though_o not_o commensurable_a and_o therefore_o not_o otherwise_o definable_a than_o as_o be_v less_o than_o any_o acute_a angle_n whatsoever_o which_o i_o take_v to_o be_v the_o more_o probable_a opinion_n by_o reason_n that_o it_o can_v not_o be_v denominate_v angular_a without_o it_o appertain_v to_o something_o though_o but_o of_o general_a or_o tacit_n application_n and_o thus_o in_o the_o judgement_n of_o euclid_n the_o angle_n of_o contact_n have_v a_o singular_a attribute_n where_o it_o touch_v the_o periphery_a of_o the_o circle_n but_o not_o otherwise_o accountable_a or_o to_o be_v sum_v by_o number_n the_o reason_n be_v that_o in_o every_o circle_n whether_o equal_a or_o unequal_a the_o point_n in_o the_o circumference_n touch_v by_o a_o right_a line_n will_v be_v the_o same_o in_o all_o of_o they_o because_o no_o other_o line_n can_v fall_v between_o the_o point_n of_o contact_n in_o any_o of_o their_o periphery_n and_o can_v it_o be_v commensurable_a it_o will_v be_v of_o one_o equality_n whereas_o contrary_o in_o every_o direct_a figure_n or_o where_o two_o right_a line_n touch_v one_o another_o the_o angle_n they_o make_v may_v be_v geometrical_o lessen_v by_o any_o intervening_a line_n or_o line_n that_o meet_v in_o the_o angular_a point_n but_o not_o so_o to_o be_v understand_v of_o the_o angle_n of_o contact_n which_o have_v no_o proportion_n in_o its_o self_n if_o compare_v with_o any_o other_o figurative_a angle_n to_o which_o purpose_n the_o learned_a proclus_n signal_o determine_v that_o the_o point_n in_o the_o circle_n where_o the_o angle_n of_o contact_n meet_v with_o a_o straight_a line_n be_v mixt_o compose_v of_o a_o direct_a line_n and_o the_o curviture_fw-fr of_o the_o circle_n and_o therefore_o not_o commensurable_a by_o any_o distinct_a line_n that_o can_v be_v numerical_o compute_v so_o that_o the_o angle_n of_o contact_n may_v be_v well_o term_v singular_a by_o reason_n it_o have_v no_o proportional_a similitude_n or_o quantitative_a propriety_n correspondent_a to_o any_o other_o angular_a delincament_n and_o the_o more_o admirable_a because_o the_o wonderful_a extent_n and_o power_n of_o geometry_n computative_o explain_v by_o the_o vastness_n of_o its_o science_n all_o other_o angle_n mathematical_o qualify_v except_o that_o which_o be_v lineal_o annex_v to_o the_o touch_n of_o the_o circle_n and_o what_o be_v yet_o more_o wonderful_a the_o tangent_fw-la line_n that_o include_v and_o make_v the_o angle_n of_o contact_n be_v perfect_o commensurable_a though_o not_o the_o angle_n where_o it_o touch_v the_o circle_n a_o geomemetrical_a secret_n that_o have_v not_o a_o little_a perplex_v if_o not_o pose_v the_o pen_n of_o famous_a mathematician_n or_o this_o proposition_n may_v be_v thus_o demonstrate_v the_o angle_n at_o d_o make_v by_o the_o prick_a line_n d_o c_o in_o the_o triangle_n a_o d_o c_o be_v a_o right_a angle_n as_o be_v always_o the_o angle_n in_o the_o semicircle_n therefore_o the_o angle_n a_o c_o d_o be_v less_o than_o a_o right_a angle_n though_o it_o may_v be_v allow_v great_a than_o any_o acute_a angle_n and_o the_o angle_n at_o c_o make_v by_o the_o tangent_fw-la line_n less_o than_o any_o acute_a angle_n that_o can_v be_v give_v otherwise_o the_o point_n where_o the_o tangent_fw-la line_n touch_v the_o circle_n can_v not_o be_v in_o that_o point_n singular_a as_o before_o demonstrate_v so_o that_o in_o the_o triangle_n a_o c_o d_o if_z d_o be_v a_o right_a angle_n the_o angle_z at_z c_o must_v be_v less_o than_o a_o right_a angle_n because_o in_o every_o plain_a triangle_n the_o three_o angle_n be_v but_o equal_a unto_o two_o right_n which_o confirm_v the_o former_a demonstration_n and_o from_o which_o may_v be_v conclude_v that_o of_o what_o demonstrative_a quantity_n the_o angle_n of_o contact_n do_v actual_o consist_v be_v as_o yet_o conceal_v from_o geometrical_a inquisition_n or_o not_o to_o be_v discover_v until_o a_o certain_a proportion_n can_v be_v find_v betwixt_o a_o straight_a and_o a_o curve_v line_n which_o perhaps_o may_v never_o be_v demonstrate_v if_o not_o as_o impossible_a as_o to_o prove_v a_o curve_v commensurate_o distinguish_v from_o a_o curve_v i_o confess_v i_o be_o not_o a_o little_a behold_v to_o this_o learned_a monsieur_n for_o the_o occasion_n he_o have_v give_v i_o to_o discuss_v i_o conceive_v not_o unsatisfactory_o to_o the_o judicious_a the_o question_n concern_v the_o angle_n of_o contact_n so_o much_o controvert_v by_o celebrate_a geometrician_n and_o which_o by_o a_o certain_a fineness_n in_o science_n be_v more_o pertinent_o apply_v to_o the_o purpose_n he_o will_v intend_v it_o than_o any_o mathematical_a proposition_n theorem_fw-la or_o diagram_n of_o his_o that_o i_o have_v meet_v with_o but_o i_o can_v thank_v he_o for_o the_o conclusion_n he_o deduce_v from_o thence_o or_o because_o he_o take_v it_o for_o grant_v that_o a_o straight_a line_n by_o reason_n of_o the_o near_a approximation_n that_o it_o have_v to_o the_o circle_n in_o the_o point_n of_o contact_n never_o less_o inflect_v from_o every_o of_o its_o point_n than_o when_o it_o degenerate_v into_o a_o circular_a figure_n by_o which_o inference_n he_o do_v high_o disparage_v the_o contexture_n and_o theory_n which_o he_o devise_v for_o the_o motion_n of_o his_o vortices_fw-la and_o globuli_fw-la in_o order_n to_o their_o material_a complete_n of_o the_o universal_a world_n if_o their_o motion_n in_o any_o kind_n tend_v to_o a_o direct_a line_n be_v allow_v to_o degenerate_v when_o from_o that_o manner_n of_o movement_n they_o convert_v to_o circular_a revolution_n which_o be_v all_o one_o as_o to_o charge_v the_o motional_a exactness_n and_o conduct_n of_o nature_n providential_o dispose_v with_o mistake_n or_o imperfection_n relate_v to_o her_o operation_n and_o work_n because_o no_o figurative_a motion_n can_v be_v imagine_v so_o absolute_o complete_a excellent_a and_o of_o certain_a continuance_n as_o be_v circular_a movement_n by_o reason_n that_o no_o part_n of_o a_o circle_n can_v be_v term_v its_o beginning_n or_o end_n whereas_o contrary_o no_o motion_n can_v be_v make_v in_o a_o straight_a line_n but_o must_v have_v separate_a intervalled_a and_o terminate_v part_n which_o enough_o disprove_v the_o allegation_n of_o this_o author_n as_o sure_o as_o that_o by_o geometrical_a dignity_n and_o proof_n the_o circle_n have_v a_o superlative_a perfection_n above_o all_o other_o figure_n and_o be_v it_o not_o to_o be_v so_o acknowledge_v there_o be_v little_a reason_n why_o the_o wisdom_n of_o providence_n shall_v annex_v the_o admirable_a computation_n of_o day_n and_o year_n to_o circular_a revolution_n but_o so_o much_o have_v be_v say_v by_o way_n of_o confutation_n in_o my_o former_a remark_n on_o this_o subject_a that_o i_o need_v not_o renew_v they_o here_o nor_o be_v it_o requisite_a that_o i_o shall_v far_o reflect_v on_o his_o elaborate_a expression_n draught_n scheme_n and_o delineation_n by_o which_o he_o undertake_v to_o confirm_v the_o motion_n of_o thing_n in_o order_n to_o the_o constructure_n of_o the_o universe_n together_o with_o the_o be_v of_o the_o earth_n since_o i_o doubt_v not_o i_o have_v refel_v his_o total_a hypothesis_n on_o which_o his_o principle_n be_v ground_v wherefore_o i_o shall_v pass_v from_o all_o of_o they_o to_o the_o entertain_v of_o my_o reader_n with_o some_o especial_a thought_n relate_v to_o the_o original_a of_o the_o world_n and_o earth_n we_o inhabit_v as_o be_v ancient_a or_o modern_a of_o most_o erudite_fw-la reputation_n i._o concern_v the_o magnitude_n of_o the_o universal_a world_n the_o question_n be_v whether_o it_o be_v infinite_a or_o finite_a material_o replenish_v or_o not_o ii_o as_o to_o its_o duration_n or_o continuance_n whether_o it_o have_v any_o temporary_a beginning_n or_o eternal_o constitute_v iii_o as_o to_o number_v whether_o it_o be_v one_o or_o numerous_o exist_v though_o as_o to_o number_n there_o can_v be_v no_o controversy_n if_o the_o world_n be_v grant_v infinite_a because_o there_o can_v be_v but_o one_o infinite_a iv_o another_o grand_a querie_n be_v from_o what_o cause_n or_o matter_n be_v the_o world_n original_o compose_v v._o and_o next_o from_o whence_o or_o in_o what_o manner_n that_o cause_n and_o matter_n do_v proceed_v
by_o nature_n which_o be_v very_o different_a from_o the_o epithet_n he_o give_v to_o motion_n and_o rest_n in_o his_o 38th_o paragraph_n where_o he_o determine_v that_o by_o the_o ordainment_n of_o god_n matter_n together_o with_o motion_n and_o rest_n be_v as_o to_o their_o ordinary_a course_n original_o constitute_v from_o whence_o he_o conclude_v that_o all_o part_n of_o material_a thing_n be_v primary_o so_o dispose_v by_o the_o will_n of_o the_o almighty_a as_o by_o their_o divers_a conservation_n the_o world_n be_v total_a matter_n may_v be_v continual_o preserve_v by_o the_o same_o determine_a method_n that_o every_o of_o its_o particular_n receive_v when_o first_o create_v from_o which_o immutable_a decree_n of_o the_o omnipotent_a he_o derive_v several_a law_n or_o rule_n of_o nature_n the_o first_o of_o which_o he_o consider_v as_o her_o constant_a industry_n and_o prerogative_n whereby_o she_o will_v as_o far_o as_o her_o regalia_n extend_v unalterable_o continue_v every_o particular_a thing_n in_o its_o manner_n of_o be_v and_o thus_o whatsoever_o move_v shall_v by_o her_o intention_n be_v always_o move_v so_o that_o if_o any_o part_n of_o matter_n represent_v its_o motion_n in_o a_o square_a or_o other_o suitable_a figure_n it_o will_v so_o perpetual_o continue_v do_v not_o some_o other_o thing_n interrupt_v its_o movement_n all_o which_o may_v be_v concede_v be_v not_o nature_n oblige_v to_o dispense_v with_o for_o universal_a convenience_n such_o alteration_n in_o her_o method_n of_o rule_n that_o she_o accommodate_v to_o the_o frail_a disposition_n of_o her_o elementary_a subject_n who_o distemper_n unless_o so_o prevent_v will_v be_v more_o disorderly_a or_o confuse_v for_o which_o reason_n she_o necessary_o wave_v her_o original_a intention_n as_o to_o the_o permanent_a continuance_n of_o her_o subordinate_a individual_n by_o exercise_v in_o a_o manner_n against_o her_o will_n a_o tyrannic_a power_n by_o which_o she_o kill_v some_o being_n to_o give_v life_n and_o repose_n to_o other_o which_o can_v not_o otherwise_o have_v room_n to_o exist_v be_v the_o compass_n of_o the_o world_n far_o great_a than_o its_o conceive_a dimension_n and_o thus_o we_o ought_v to_o apprehend_v the_o various_a effect_n of_o motion_n as_o also_o such_o alteration_n as_o relate_v to_o generation_n and_o corruption_n by_o which_o thing_n cease_v to_o be_v and_o other_o have_v be_v though_o neither_o motion_n or_o any_o of_o its_o concomitant_n or_o tendency_n here_o mention_v can_v be_v reasonable_o suppose_v according_a to_o the_o opinion_n of_o this_o author_n to_o endeavour_v incessant_a movement_n do_v not_o some_o other_o intervening_a thing_n put_v a_o end_n to_o their_o motion_n by_o obstruct_v its_o far_a progress_n which_o be_v to_o affirm_v that_o motion_n be_v void_a of_o design_n if_o any_o thing_n move_v regardless_o of_o its_o proper_a residence_n if_o grant_v that_o the_o motion_n of_o one_o thing_n may_v cause_v the_o motion_n of_o another_o to_o cease_v it_o be_v not_o to_o be_v understand_v as_o any_o hindrance_n that_o its_o natural_a capacity_n can_v receive_v or_o the_o intendment_n it_o have_v to_o arrive_v where_o it_o ought_v to_o remain_v it_o be_v absurd_a to_o suppose_v that_o motion_n as_o it_o be_v appropriate_v to_o material_a composition_n of_o which_o only_o we_o can_v be_v sensible_a shall_v be_v actual_o or_o potential_o imbue_v with_o a_o perpetual_a motional_a faculty_n which_o be_v to_o allow_v it_o indeterminate_v and_o therefore_o infinite_a contrary_a to_o the_o undoubted_a philosophiaal_n maxim_n non_fw-la datur_fw-la infinitum_fw-la actu_fw-la in_o rerum_fw-la natura_fw-la and_o as_o experimental_o certain_a as_o that_o a_o man_n can_v always_o run_v or_o walk_v the_o second_o law_n which_o he_o attribute_n to_o nature_n he_o thus_o deliver_v every_o motion_n of_o itself_o be_v in_o a_o straight_a line_n and_o therefore_o whatsoever_o circular_o move_v always_o endeavour_v to_o depart_v from_o the_o centre_n of_o the_o circle_n it_o describe_v before_o i_o enter_v my_o replication_n to_o this_o head_n which_o in_o some_o respect_n be_v very_o questionable_a i_o think_v fit_a to_o inform_v the_o reader_n how_o he_o do_v here_o dissent_n from_o what_o he_o deliver_v in_o his_o 32d_o particular_a where_o he_o grant_v that_o motion_n may_v be_v not_o seldom_o exceed_o contort_a twist_v or_o wrest_v which_o he_o must_v intend_v by_o such_o a_o lineal_a movement_n as_o may_v be_v neither_o direct_a or_o circular_a and_o therefore_o it_o must_v have_v such_o a_o kind_n of_o oblique_a curvitude_n as_o can_v be_v comprehend_v by_o the_o definition_n of_o regular_a curv'_v or_o such_o as_o may_v be_v term_v geometrical_o commensurable_a which_o by_o learned_a mathematician_n be_v sole_o attribute_v to_o the_o circle_n parabola_fw-la hyperbola_fw-la and_o ellipsis_n the_o reason_n they_o give_v be_v by_o demonstrate_v that_o no_o other_o curvitude_n can_v in_o every_o of_o their_o point_n have_v a_o due_a relation_n to_o straight_a line_n as_o it_o may_v be_v equal_o prove_v on_o which_o mathematical_a certainty_n be_v ground_v their_o reject_v of_o all_o other_o curv'_v as_o mechanical_a because_o in_o particular_a they_o can_v be_v geometrical_a by_o right_a line_n apply_v to_o such_o figure_n and_o therefore_o not_o to_o motional_a thing_n and_o part_n by_o indistinct_a commensuration_n and_o such_o as_o may_v express_v their_o common_a equality_n whosoever_o desire_v to_o be_v assure_v by_o geometrical_a delineament_n and_o proof_n to_o this_o purpose_n he_o may_v inspect_v the_o commentary_n of_o van-schooten_a a_o dutch_a mathematician_n on_o the_o geometry_n of_o this_o author_n in_o the_o mean_a time_n this_o observation_n be_v sufficient_a to_o explain_v the_o egregious_a mistake_n of_o this_o writer_n as_o to_o the_o place_n beforementioned_a where_o contrary_a to_o the_o actual_a performance_n and_o method_n of_o nature_n that_o allow_v to_o every_o thing_n move_v commensurable_a space_n and_o part_n he_o ally_n the_o possibility_n of_o motion_n to_o such_o a_o perverse_a and_o irregular_a figure_n as_o will_v render_v it_o absolute_o confuse_v instead_o of_o be_v orderly_o consistent_a with_o the_o certainty_n of_o measure_n but_o now_o in_o the_o abovementioned_a second_o law_n of_o nature_n as_o he_o define_v it_o he_o think_v it_o be_v very_o manifest_a that_o motion_n by_o its_o simplicity_n of_o operation_n shall_v be_v conit_v simplicity_n of_o operation_n shall_v be_v continue_v in_o a_o straight_a line_n but_o never_o in_o a_o crooked_a which_o be_v true_a if_o mean_v of_o such_o thing_n that_o by_o their_o inherent_a propriety_n of_o length_n or_o weight_n ascend_v or_o descend_v which_o be_v always_o continue_v in_o a_o straight_a line_n but_o be_v not_o so_o in_o every_o thing_n that_o move_v as_o may_v be_v evident_o perceive_v in_o that_o admirable_a providence_n by_o who_o conduct_n the_o celestial_a motion_n of_o the_o sun_n and_o planet_n have_v a_o constant_a circular_a revolution_n which_o sublime_a manner_n and_o excellency_n of_o motion_n be_v no_o otherwise_o natural_o they_o than_o suitable_a gravity_n or_o lightness_n be_v the_o cause_n that_o thing_n so_o compose_v move_v upward_o or_o downward_o these_o example_n be_v sufficient_a to_o refel_v his_o general_a hypothesis_n by_o which_o he_o will_v limit_v the_o genuine_a action_n of_o whatsoever_o do_v move_v to_o a_o direct_a line_n without_o except_v the_o orb_n above_o that_o he_o well_o understand_v do_v move_v otherwise_o to_o which_o purpose_n he_o delineate_v a_o diagram_n the_o same_o in_o effect_n with_o this_o that_o follow_v let_v a_o stone_n be_v suppose_v to_o move_v by_o any_o force_n according_a to_o his_o example_n in_o a_o sling_n as_o e_z a_o circular_o move_v in_o the_o same_o instant_n in_o which_o it_o be_v in_o the_o point_n a_o determine_v to_o move_v any_o whether_o in_o a_o right_a line_n towards_o c_o so_o as_o the_o right_a line_n may_v be_v the_o tangent_fw-la of_o the_o circle_n it_o can_v be_v imagine_v to_o terminate_v motional_o contort_a though_o it_o first_o come_v from_o l_o to_o a_o by_o a_o crooked_a line_n because_o nothing_o of_o that_o curvitude_n can_v be_v understand_v to_o remain_v in_o it_o whilst_o it_o be_v in_o the_o point_n a._n but_o shall_v it_o then_o be_v out_o of_o the_o sling_n it_o will_v not_o move_v forward_o towards_o b_o but_o towards_o c._n from_o whence_o he_o conclude_v that_o whatsoever_o do_v circular_o move_v will_v always_o endeavour_v to_o depart_v from_o its_o centre_n here_o he_o undertake_v to_o give_v nature_n a_o law_n against_o her_o natural_a legality_n if_o not_o such_o a_o fictious_a swing_n as_o will_v whisk_n her_o ordinary_a operation_n out_o of_o their_o usual_a course_n into_o the_o region_n of_o fable_n it_o be_v very_o demonstrable_a that_o both_o part_n of_o the_o proposition_n to_o which_o this_o diagram_n relate_v be_v erroneous_o apply_v as_o to_o the_o first_o by_o which_o he_o will_v prove_v
height_n or_o utmost_a distance_n from_o the_o centre_n of_o her_o orb_n and_o at_o another_o a_o perigaeon-nearness_n unto_o it_o which_o be_v much_o the_o same_o as_o to_o think_v it_o feasible_a for_o cluster_n of_o fly_n no_o big_a than_o gnat_n when_o they_o numerous_o seem_v to_o circulate_v in_o sunshine_n to_o remove_v the_o weighty_a firmness_n of_o the_o terrene_a world_n or_o perform_v instead_o of_o the_o sun_n the_o elliptical_a revolution_n of_o the_o day_n or_o year_n yet_o on_o this_o preposterous_a and_o feeble_a conduct_n be_v erect_v the_o main_a hypothesis_n of_o this_o french_a writer_n both_o as_o to_o the_o composition_n be_v and_o motion_n of_o the_o earth_n with_o all_o her_o circumjacent_a particular_n which_o show_v that_o he_o take_v to_o himself_o a_o unpresidented_a dictatorship_n in_o science_n whereby_o he_o will_v celebrate_v the_o fiction_n of_o his_o brain_n without_o any_o requisite_a or_o probable_a assurance_n that_o they_o ought_v to_o be_v concede_v to_o which_o purpose_n he_o insert_v the_o various_a act_n of_o his_o several_a element_n though_o by_o no_o body_n but_o himself_o so_o name_v and_o by_o these_o so_o invent_v by_o he_o together_o with_o vortices_fw-la and_o globuli_fw-la form_v from_o they_o he_o judge_n that_o the_o earth_n with_o whatsoever_o it_o comprehend_v may_v be_v total_o constitute_v as_o he_o their_o prime_a artificer_n have_v contriv'd_o set_v they_o at_o work_n the_o first_o action_n tend_v to_o the_o complete_n of_o the_o most_o refine_a substance_n or_o part_n of_o the_o earth_n he_o consider_v as_o produce_v by_o the_o motion_n of_o the_o most_o tenuous_a matter_n of_o what_o he_o term_n a_o three_o element_n which_o he_o suppose_v so_o very_o pure_a that_o even_o to_o transparency_n it_o may_v cause_v body_n though_o appertain_v to_o earthly_a composition_n very_o clear_o to_o shine_v and_o thus_o we_o have_v the_o earth_n according_a to_o the_o doctrine_n of_o des-cartes_n both_o a_o motional_a and_o illuminate_a planet_n but_o shall_v i_o account_v the_o numerous_a diversity_n of_o the_o fictitious_a motion_n and_o shift_v invention_n by_o which_o this_o author_n confer_v a_o shine_a capacity_n on_o some_o particular_n of_o the_o earth_n substance_n i_o may_v more_o than_o fire_n if_o not_o abuse_v the_o patience_n of_o a_o indefatigable_a reader_n neither_o can_v i_o do_v other_o than_o impertinent_o load_v my_o pen_n with_o repeat_v objection_n and_o manifest_a confutation_n of_o his_o theory_n of_o motion_n as_o they_o have_v be_v diverse_o apply_v by_o he_o on_o this_o or_o other_o subject_n the_o movement_n of_o thing_n in_o his_o method_n as_o he_o annex_v their_o quality_n and_o motion_n be_v neither_o exact_o agreeable_a to_o straight_o line_n or_o their_o proper_a tendency_n or_o to_o such_o curv'_v as_o may_v be_v of_o mathematical_a construction_n and_o therefore_o inconsistent_a with_o the_o geometry_n of_o nature_n which_o as_o to_o her_o work_n must_v proceed_v from_o a_o regular_a process_n to_o which_o purpose_n enough_o have_v be_v already_o write_v by_o i_o i_o will_v therefore_o in_o this_o place_n brief_o inspect_v the_o fond_a of_o the_o shine_a attribute_n that_o he_o confer_v on_o some_o particular_n of_o the_o earth_n as_o they_o be_v state_v by_o he_o the_o principal_a reason_n that_o he_o offer_v be_v that_o it_o be_v experimental_o find_v that_o pure_a liquor_n in_o the_o earth_n of_o tenuous_a consistence_n be_v also_o pellucidous_a or_o shine_v which_o can_v be_v true_a if_o by_o clearness_n he_o mean_v a_o illuminate_a quality_n no_o more_o than_o the_o pure_a water_n that_o can_v be_v imagine_v may_v be_v say_v to_o shine_v because_o it_o be_v clear_a and_o who_o ever_o behold_v any_o shine_a part_n of_o the_o earth_n otherwise_o than_o by_o diffuse_v beam_n of_o the_o sun_n '_o moon_n or_o star_n it_o may_v be_v enlighten_v though_o without_o any_o illumination_n as_o to_o its_o own_o capacity_n where_o be_v the_o eye_n that_o in_o a_o gloomy_a day_n or_o night_n ever_o observe_v the_o shine_a of_o a_o molehill_n on_o the_o surface_n of_o the_o earth_n or_o such_o little_a morsel_n of_o the_o ground_n as_o worm_n deject_v which_o may_v be_v compose_v of_o such_o material_n as_o he_o describe_v his_o diminutive_a globuli_fw-la to_o consist_v of_o for_o any_o reason_n give_v by_o he_o to_o the_o contrary_a to_o confirm_v these_o objection_n this_o one_o that_o include_v many_o may_v pertinent_o be_v add_v if_o as_o he_o imagine_v the_o diaphanous_a part_n of_o any_o of_o his_o celestial_a element_n as_o they_o be_v define_v by_o he_o shall_v by_o any_o intelligible_a movement_n so_o operate_v as_o they_o may_v be_v so_o qualitative_o constitute_v as_o to_o embue_v any_o particular_a substance_n or_o place_n of_o the_o earth_n with_o a_o shine_a capacity_n since_o he_o have_v undertake_v to_o metamorphose_v our_o terrene_a habitation_n into_o a_o planetary_a composition_n how_o can_v it_o be_v probable_o apprehend_v that_o his_o fluid_fw-la globuli_fw-la by_o their_o feeble_a commotion_n shall_v be_v conjoin_v to_o the_o surface_n of_o the_o earth_n notwithstanding_o that_o the_o condense_a or_o crusty_a part_n of_o her_o surface_n be_v thick_o harden_v and_o nourish_v by_o the_o root_n of_o grass_n tree_n mineral_n stone_n of_o all_o kind_n diverse_o temper_v and_o not_o possible_o penetrable_a by_o any_o compulsive_a motion_n of_o his_o diminutive_a and_o impotent_a globuli_fw-la unless_o so_o much_o of_o the_o gape_a superficies_n of_o the_o earth_n can_v be_v suppose_v to_o receive_v their_o fluid_a descent_n to_o no_o other_o purpose_n than_o she_o do_v rain_n when_o distil_v by_o the_o dissolution_n of_o cloud_n which_o be_v do_v there_o can_v but_o a_o dewy_a gloss_n appear_v on_o the_o ground_n that_o may_v not_o more_o imbrighten_v any_o part_n of_o the_o earth_n figure_n than_o when_o in_o some_o moist_a season_n the_o glow-worm_n with_o her_o light_n be_v engender_v so_o that_o whosoever_o will_v persuade_v himself_o that_o the_o terrene_a world_n or_o any_o part_n of_o it_o be_v ever_o primary_o complete_v or_o motional_o dispose_v by_o the_o globuli_fw-la and_o vortices_fw-la comprehend_v in_o the_o diagram_n and_o theory_n of_o des-cartes_n may_v as_o ready_o believe_v that_o the_o globe_n of_o the_o moon_n be_v original_o produce_v by_o the_o efficacious_a seed_n of_o a_o carret-bed_n nor_o do_v he_o deny_v in_o some_o respect_n the_o incongruity_n of_o his_o principle_n as_o in_o his_o 18_o particular_n he_o confess_v the_o material_n by_o which_o he_o mould_v the_o frame_n of_o the_o earth_n composure_n and_o first_o existence_n to_o be_v confuse_o operative_a by_o grant_v that_o the_o liquid_a part_n which_o he_o attribute_n to_o the_o prime_a formation_n of_o the_o earth_n be_v disorderly_o complicate_v with_o his_o celestial_a globuli_fw-la yet_o may_v by_o their_o operation_n in_o his_o judgement_n upward_o downward_o or_o transvers_o be_v separately_z distinguish_v by_o the_o similitude_n he_o porduce_v of_o a_o glass_n of_o wine_n in_o the_o must_v have_v dregs_o not_o only_o on_o the_o top_n and_o bottom_n correspondent_a to_o gravity_n and_o levity_n but_o also_o on_o the_o side_n of_o the_o glass_n when_o afterward_o the_o wine_n be_v clear_a notwithstanding_o that_o it_o before_o consist_v of_o various_a particular_n it_o become_v pellucidous_a or_o shine_v and_o not_o more_o gross_a or_o thick_a in_o any_o one_o part_n than_o in_o another_o here_o he_o present_v his_o reader_n with_o a_o philosophical_a wether_n glass_n by_o which_o he_o will_v determine_v the_o temper_n of_o the_o season_n when_o the_o earth_n be_v form_v by_o his_o diversify_v globuli_fw-la and_o whirl_a assistance_n of_o his_o vortices_fw-la which_o petty_a operator_n as_o he_o state_v the_o metaphor_n of_o their_o condition_n and_o conduct_n may_v be_v as_o drink_v as_o fly_n may_v be_v suppose_v when_o some_o of_o they_o be_v as_o it_o be_v giddy_a on_o the_o top_n of_o a_o glass_n of_o strong_a liquor_n or_o lean_a to_o its_o side_n for_o supportance_n whilst_o other_o more_o ebrietous_o replenish_v heavy_o sink_v to_o the_o bottom_n all_o which_o may_v be_v assimulate_v without_o any_o wrong_n to_o the_o brain_n of_o this_o author_n unto_o the_o giddiness_n of_o his_o phaenomena_n it_o be_v impossible_a to_o conceive_v from_o what_o rational_a course_n of_o nature_n he_o can_v produce_v the_o substance_n together_o with_o the_o movement_n of_o his_o debauch_a globuli_fw-la by_o which_o he_o constitute_v the_o be_v of_o the_o earth_n consider_v that_o he_o deduce_v their_o original_a descent_n from_o what_o he_o term_n his_o first_o pure_a element_n in_o his_o 19_o head_n he_o positive_o assure_v we_o that_o the_o three_o and_o main_a effect_n of_o his_o celestial_a globuli_fw-la be_v so_o perfect_o operative_a that_o they_o convert_v liquorous_a drop_n reside_v in_o air_n into_o rotund_a figure_n the_o reason_n as_o he_o
state_n it_o be_v because_o those_o celestial_a globuli_fw-la find_v more_o passage_n into_o a_o watery_a drop_n than_o into_o the_o circumjacent_a air_n and_o by_o that_o mean_n as_o near_o as_o may_v be_v move_v in_o right_a line_n or_o in_o such_o as_o most_o approximate_a unto_o direct_a lineament_n whence_o it_o be_v manifest_a in_o his_o opinion_n that_o such_o globuli_fw-la that_o be_v in_o the_o air_n be_v less_o motional_o hinder_v as_o they_o meet_v with_o a_o watery_a drop_n according_a to_o the_o continuance_n of_o their_o motion_n in_o a_o straight_a line_n or_o near_a unto_o it_o if_o that_o drop_v of_o liquor_n be_v exact_o spherical_a than_o if_o it_o have_v take_v any_o other_o figure_n but_o if_o any_o part_n of_o the_o superficies_n of_o that_o drop_n be_v extend_v beyond_o a_o spherical_a figure_n the_o celestial_a globuli_fw-la by_o their_o more_o forcible_a discursion_n make_v in_o the_o air_n more_o strenuous_o assault_v the_o watery_a drop_n than_o be_v it_o other_o substance_n and_o immediate_o thrust_v it_o downward_o towards_o the_o centre_n the_o reader_n i_o presume_v will_v excuse_v i_o if_o in_o this_o place_n and_o some_o other_o of_o his_o write_n i_o deliver_v the_o notion_n of_o this_o author_n in_o more_o uncouth_a accent_n than_o i_o will_v willing_o commit_v to_o his_o perusal_n it_o have_v be_v my_o care_n no_o less_o than_o necessary_a diligence_n to_o render_v as_o genuine_o as_o may_v be_v his_o latin_a expression_n into_o english_a if_o my_o remark_n on_o his_o precedent_n praticular_a have_v any_o sharp_a allusion_n dress_v in_o a_o plain_a and_o familiar_a application_n i_o can_v rebate_v on_o this_o occasion_n the_o point_n of_o their_o tendency_n wherefore_o if_o prove_v by_o i_o in_o the_o forego_n head_n though_o by_o a_o comical_a similitude_n that_o his_o hypothesis_n have_v inebriate_v his_o globuli_fw-la i_o may_v as_o judicious_o assert_v that_o his_o sense_n in_o the_o particular_a i_o now_o treat_v of_o may_v be_v by_o no_o extravagant_a similitude_n term_v unnatural_a or_o philosophical_o and_o mathematical_o intoxicate_v unless_o i_o can_v affirm_v in_o his_o behalf_n that_o his_o globuli_fw-la which_o as_o he_o suppose_v may_v by_o the_o force_n of_o their_o whirl_a vortices_fw-la so_o dispose_v their_o material_n to_o the_o constitute_n of_o the_o earth_n that_o the_o very_a grape_n that_o cause_v drunkenness_n in_o the_o head_n of_o the_o patriarch_n noah_n be_v engender_v by_o some_o of_o their_o giddy_a composition_n and_o as_o sure_o as_o the_o earth_n be_v now_o in_o be_v nature_n may_v be_v deem_v out_o of_o her_o wit_n if_o according_a to_o his_o disorderly_a process_n she_o can_v be_v think_v to_o design_n the_o production_n of_o the_o earthly_a world_n or_o what_o can_v be_v more_o improbable_a than_o the_o tale_n he_o tell_v of_o his_o celestial_a globuli_fw-la convert_v of_o liquorous_a drop_n hang_v in_o the_o air_n into_o round_a figure_n and_o what_o reason_n do_v he_o give_v why_o no_o better_a than_o as_o he_o suppose_v that_o his_o globuli_fw-la may_v find_v more_o passage_n in_o watery_a drop_n than_o in_o the_o circumjacent_a air_n but_o do_v not_o common_a experience_n confute_v this_o imagination_n let_v a_o strenuous_a hand_n fling_v a_o smooth_a pebble-stone_n into_o the_o air_n and_o afterward_o into_o water_n will_v it_o as_o soon_o pass_v any_o part_n of_o the_o superficies_n of_o water_n as_o of_o the_o air_n or_o will_v it_o not_o the_o water_n be_v of_o a_o more_o condense_a substance_n than_o air_n have_v proportionable_o a_o long_a motion_n and_o passage_n by_o the_o resistance_n of_o its_o thick_a body_n than_o may_v be_v give_v by_o the_o tenuity_n of_o the_o air_n a_o truth_n so_o practical_o evident_a that_o it_o can_v not_o be_v unknown_a to_o many_o of_o the_o young_a contemporary_n at_o school_n with_o des-cartes_n wherefore_o i_o wonder_v to_o find_v he_o of_o a_o contrary_a opinion_n here_o as_o little_o concentr_v in_o any_o kind_n with_o sound_a principle_n be_v the_o propriety_n that_o he_o annex_v to_o his_o globuli_fw-la which_o if_o in_o their_o motion_n engage_v with_o any_o part_n of_o a_o watery_a drop_n that_o be_v extend_v beyond_o a_o spherical_a figure_n they_o immediate_o with_o great_a force_n assail_v it_o and_o by_o compulsion_n enforce_v it_o towards_o its_o centre_n but_o if_o any_o part_n of_o it_o be_v near_o its_o centre_n than_o another_o his_o celestial_a globuli_fw-la contain_v in_o that_o watery_a drop_n forthwith_o employ_v their_o utmost_a force_n to_o expel_v it_o from_o its_o centre_n and_o next_o altogether_o concur_v to_o make_v one_o spherical_a drop_n here_o by_o a_o perverse_a contradiction_n he_o notorious_o thwart_v the_o sure_a maxim_n of_o philosophy_n as_o they_o pertinent_o relate_v to_o the_o nature_n and_o motion_n of_o corporeal_a being_n nor_o be_v there_o any_o thing_n more_o irrational_a if_o not_o philosophical_o absurd_a than_o to_o define_v as_o he_o do_v globulous_a material_n and_o debar_v they_o of_o motion_n natural_a to_o their_o figure_n it_o be_v not_o possible_a to_o imagine_v that_o whatsoever_o be_v rotund_v shall_v be_v more_o propense_a to_o move_v in_o a_o straight_a line_n or_o the_o near_a unto_o it_o than_o in_o a_o circular_a revolution_n if_o a_o ball_n be_v let_v fall_v from_o the_o hand_n will_v it_o it_o not_o rotund_o move_v suitable_a to_o its_o figure_n and_o can_v this_o author_n imagine_v that_o a_o demonstration_n so_o experimental_o obvious_a will_v be_v wave_v by_o any_o principle_n of_o his_o geometrical_o inconsistent_a or_o that_o the_o exactness_n of_o thing_n circular_o move_v of_o all_o other_o most_o perfect_a shall_v incline_v to_o deviate_v from_o their_o centre_n or_o if_o that_o be_v grant_v be_v it_o at_o all_o probable_a that_o they_o can_v have_v free_a migration_n according_a to_o this_o author_n through_o any_o one_o of_o his_o suppose_a watery_a drop_n than_o in_o the_o tenuous_a substance_n of_o the_o ambient_fw-la air_n which_o be_v do_v they_o be_v in_o his_o sense_n sometime_o compulsive_o enforce_v towards_o their_o centre_n if_o their_o figure_n be_v not_o absolute_o spherical_a but_o if_o exact_o round_a as_o forcible_o remove_v from_o their_o centre_n and_o thus_o he_o implicate_v if_o not_o so_o cross_o involve_v contradiction_n that_o he_o determine_v the_o operation_n of_o nature_n more_o consonant_a to_o the_o exert_n of_o a_o step-dame_n arbitrary_a conduct_n than_o suitable_a to_o the_o comely_a effect_n by_o which_o she_o regular_o produce_v the_o motion_n and_o be_v of_o thing_n all_o which_o must_v be_v concede_v as_o principle_n of_o nature_n incident_a to_o her_o rule_n and_o regular_a intention_n as_o sure_o as_o some_o of_o her_o material_n be_v more_o substantial_o heavy_a or_o light_a than_o other_o and_o will_v therefore_o have_v a_o natural_a recourse_n upward_o or_o downward_o to_o their_o centre_n according_o wherefore_o it_o may_v be_v admire_v in_o what_o fit_a or_o heat_v of_o fancy_n the_o brain_n of_o this_o monsieur_n be_v inveigle_v when_o by_o so_o many_o perplex_a word_n as_o also_o opposite_a term_n and_o method_n he_o do_v in_o a_o manner_n angry_o impose_v the_o limitation_n of_o his_o measure_n on_o the_o stupendous_a production_n of_o the_o work_n of_o nature_n insomuch_o that_o his_o maxim_n if_o sober_o consider_v signify_v little_a other_o than_o a_o design_v rape_n commit_v on_o the_o grandeur_n of_o her_o figure_n and_o beauty_n together_o with_o the_o providential_a facility_n by_o which_o she_o complete_v and_o preserve_v her_o legitimate_a conduct_n and_o operation_n so_o that_o his_o invent_v element_n with_o all_o his_o diagram_n of_o vortices_fw-la and_o globuli_fw-la seem_v fictitious_o devise_v or_o appertain_v to_o the_o imaginary_a system_n of_o some_o other_o world_n since_o not_o at_o all_o probable_a that_o they_o can_v belong_v to_o the_o composure_n of_o this_o but_o enough_o have_v be_v in_o this_o place_n and_o occasional_o before_o i_o believe_v satisfactory_o insert_v on_o this_o subject_a that_o it_o be_v impertinent_o tedious_a if_o more_o be_v add_v there_o remain_v one_o particular_a that_o ere_o i_o conclude_v on_o this_o head_n requisite_o deserve_v a_o considerable_a remark_n because_o it_o include_v a_o very_a curious_a and_o subtle_a mathematical_a problem_n which_o he_o thus_o express_v the_o angle_n of_o contact_n by_o which_o the_o tangent_fw-la line_n touch_v a_o circle_n and_o by_o which_o only_a it_o be_v distant_a from_o a_o right_a line_n be_v less_o than_o any_o rectilineal_a angle_n whatsoever_o and_o in_o no_o curve_v line_n beside_o the_o circle_n be_v every_o where_o equal_a wherefore_o he_o affirm_v that_o a_o straight_a line_n can_v more_o equal_o and_o less_o every_o where_o inflect_v or_o bend_v from_o its_o point_n than_o when_o it_o degenerate_v into_o a_o circular_a i_o have_v read_v in_o the_o history_n of_o algebra_n write_v by_o dr._n