Selected quad for the lemma: cause_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
cause_n	world_n	write_v	year_n	258	4	4.5390	4	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A44014	Six lessons to the professors of the mathematiques one of geometry the other of astronomy, in the chaires set up by the noble and learned Sir Henry Savile in the University of Oxford.	Hobbes, Thomas, 1588-1679.	1656 (1656)	Wing H2260; ESTC R22309	102,047	75

six_o lesson_n to_o the_o professor_n of_o the_o mathematics_n one_o of_o geometry_n the_o other_o of_o astronomy_n in_o the_o chair_n set_v up_o by_o the_o noble_a and_o learned_a sir_n henry_n savile_n in_o the_o university_n of_o oxford_n london_n print_a by_o j._n m._n for_o andrew_n crook_n at_o the_o green-dragon_n in_o paul_n churchyard_n to_o the_o right_n honourable_a henry_n lord_n pierrepont_n viscount_n newarke_n earl_n of_o kingston_n and_o marquis_n of_o dorchester_n my_o most_o noble_a lord_n not_o know_v on_o my_o own_o part_n any_o cause_n of_o the_o favour_n your_o lordship_n have_v be_v please_v to_o express_v towards_o i_o unless_o it_o be_v the_o principle_n method_n and_o manner_n you_o have_v observe_v and_o approve_v in_o my_o write_n and_o see_v these_o have_v all_o be_v very_o much_o reprehend_v by_o man_n to_o who_o the_o name_n of_o public_a professor_n have_v procure_v reputation_n in_o the_o university_n of_o oxford_n i_o think_v it_o will_v be_v a_o forfeiture_n of_o your_o lordship_n good_a opinion_n not_o to_o justify_v myself_o in_o public_a also_o against_o they_o which_o whether_o i_o have_v sufficient_o perform_v or_o not_o in_o the_o six_o follow_a lesson_n address_v to_o the_o same_o professor_n i_o humble_o pray_v your_o lordship_n to_o consider_v the_o volume_n itself_o be_v too_o small_a to_o be_v offer_v to_o you_o as_o a_o present_a but_o to_o be_v bring_v before_o you_o as_o a_o controversy_n it_o be_v perhaps_o the_o better_a for_o be_v short_a of_o art_n some_o be_v demonstrable_a other_o indemonstrable_a and_o demonstrable_a be_v those_o the_o construction_n of_o the_o subject_a whereof_o be_v in_o the_o power_n of_o the_o artist_n himself_o who_o in_o his_o demonstration_n do_v no_o more_o but_o deduce_v the_o consequence_n of_o his_o own_o operation_n the_o reason_n whereof_o be_v this_o that_o the_o science_n of_o every_o subject_a be_v derive_v from_o a_o praecognition_n of_o the_o cause_n generation_n and_o construction_n of_o the_o same_o and_o consequent_o where_o the_o cause_n be_v know_v there_o be_v place_n for_o demonstration_n but_o not_o where_o the_o cause_n be_v to_o seek_v for_o geometry_n therefore_o be_v demonstrable_a for_o the_o line_n and_o figure_n from_o which_o we_o reason_n be_v draw_v and_o describe_v by_o ourselves_o and_o civil_a philosophy_n be_v 〈…〉_z we_o make_v the_o commonwealth_n ourselves_o but_o because_o of_o natural_a body_n we_o know_v not_o the_o construction_n but_o seek_v it_o from_o the_o effect_n there_o lie_v no_o demonstration_n of_o what_o the_o cause_n be_v we_o seek_v for_o but_o only_o of_o what_o they_o may_v be_v and_o where_o there_o be_v place_n for_o demonstration_n if_o the_o first_o principle_n that_o be_v to_o say_v the_o definition_n contain_v not_o the_o generation_n of_o the_o subject_a there_o can_v be_v nothing_o demonstrate_v as_o it_o ought_v to_o be_v and_o this_o in_o the_o three_o first_o definition_n of_o euclid_n sufficient_o appear_v for_o see_v he_o make_v not_o nor_o can_v make_v any_o use_n of_o they_o in_o his_o demonstration_n they_o ought_v not_o to_o be_v number_v among_o the_o principle_n of_o geometry_n and_o sextus_n empiricis_n make_v use_v of_o they_o misunderstand_v yet_o so_o understand_v as_o the_o say_a professor_n understand_v they_o to_o the_o overthrow_n of_o that_o so_o much_o renown_v evidence_n of_o geometry_n in_o that_o part_n therefore_o of_o my_o book_n where_o i_o treat_v of_o geometry_n i_o think_v it_o necessary_a in_o my_o definition_n to_o express_v those_o motion_n by_o which_o line_n superficies_n solid_n and_o figure_n be_v draw_v and_o describe_v little_o expect_v that_o any_o professor_n of_o geometry_n shall_v find_v fault_n therewith_o but_o on_o the_o contrary_a suppose_n i_o may_v thereby_o not_o only_o avoid_v the_o cavil_n of_o the_o sceptic_n but_o also_o demonstrate_v divers_a proposition_n which_o on_o other_o principle_n be_v indemonstrable_a and_o true_o if_o you_o shall_v find_v those_o my_o principle_n of_o motion_n make_v good_a you_o shall_v find_v also_o that_o i_o have_v add_v something_o to_o that_o which_o be_v former_o extant_a in_o geometry_n for_o first_o from_o the_o seven_o chapter_n of_o my_o book_n de_fw-fr corpere_fw-la to_o the_o thirteen_o i_o have_v rectify_v and_o explain_v the_o principle_n of_o the_o science_n id_fw-la est_fw-la i_o have_v do_v that_o business_n for_o which_o doctor_n wallis_n receive_v the_o wage_n in_o the_o seven_o i_o have_v exhibit_v and_o demonstrate_v the_o proportion_n of_o the_o parabola_fw-la and_o parabolaster_n to_o the_o parallellogram_n of_o the_o same_o height_n and_o base_a which_o though_o some_o of_o the_o proposition_n be_v extant_a without_o their_o demonstration_n be_v never_o before_o demonstrate_v nor_o be_v by_o any_o other_o than_o this_o method_n demonstrable_a in_o the_o eighteen_o as_o it_o be_v now_o in_o english_a i_o have_v demonstrate_v the_o for_o any_o thing_n i_o yet_o perceive_v equation_n between_o the_o crooked_a line_n of_o a_o parabola_fw-la or_o any_o parabolaster_n and_o a_o straight_a line_n in_o the_o twenty-third_a i_o have_v exhibit_v the_o centre_n of_o gravity_n of_o any_o sector_n of_o a_o sphere_n last_o the_o twenty-fourth_a which_o be_v of_o the_o nature_n of_o refractiand_n reflection_n be_v almost_o all_o new_a but_o your_o lordship_n will_v ask_v i_o what_o i_o have_v do_v in_o the_o twenty_o about_o the_o quadrature_n of_o the_o circle_n true_o my_o lord_n not_o much_o more_o than_o before_o i_o have_v let_v stand_v there_o that_o which_o i_o do_v before_o condemn_v not_o that_o i_o think_v it_o exact_v but_o partly_o because_o the_o division_n of_o angles_n may_v be_v more_o exact_o perform_v by_o it_o then_o by_o any_o organical_a way_n whatsoever_o and_o i_o have_v attempt_v the_o same_o by_o another_o method_n which_o seem_v to_o i_o very_o natural_a but_o of_o calculation_n difficult_a and_o slippery_a i_o call_v they_o only_a aggression_n retain_v nevertheless_o the_o formal_a manner_n of_o assertion_n use_v in_o demonstration_n for_o i_o dare_v not_o use_v such_o a_o doubtful_a word_n as_o videtur_fw-la because_o the_o professor_n be_v present_o ready_a to_o oppose_v i_o with_o a_o videtur_fw-la quod_fw-la non_fw-la nor_o be_o i_o willing_a to_o leave_v those_o aggression_n out_o but_o rather_o to_o try_v if_o it_o may_v be_v make_v pass_n for_o lawful_a in_o spite_n of_o they_o that_o seek_v honour_v not_o from_o their_o own_o performance_n but_o from_o other_o man_n fail_n among_o many_o difficult_a undertake_n carry_v through_o at_o once_o to_o leave_v one_o and_o the_o great_a for_o a_o time_n behind_o and_o partly_o because_o the_o method_n be_v such_o as_o may_v hereafter_o give_v further_a light_n to_o the_o find_v out_o of_o the_o exact_a truth_n but_o the_o principle_n of_o the_o professor_n that_o reprehend_v these_o of_o i_o be_v some_o of_o they_o so_o void_a of_o sense_n that_o a_o man_n at_o the_o first_o hear_n whether_o geometrician_n or_o not_o geometrician_n must_v abhor_v they_o as_o for_o example_n 1._o that_o two_o equal_a proportion_n be_v not_o double_a to_o one_o of_o the_o same_o proportion_n 2._o that_o a_o proportion_n be_v double_a triple_a etc._n etc._n of_o a_o number_n but_o not_o of_o a_o proportion_n 3._o that_o the_o same_o body_n without_o add_v to_o it_o or_o take_v from_o it_o be_v sometime_o great_a and_o sometime_o less_o 4._o that_o a_o quantity_n may_v grow_v less_o and_o less_o eternal_o so_o as_o at_o last_o to_o be_v equal_a to_o another_o quantity_n or_o which_o be_v all_o one_o that_o there_o be_v a_o last_o in_o eternity_n 5._o that_o the_o nature_n of_o a_o angle_n consist_v in_o that_o which_o lie_v between_o the_o line_n that_o comprehend_v the_o angle_n in_o the_o very_a point_n of_o their_o concourse_n that_o be_v to_o say_v a_o angle_n be_v the_o superficies_n which_o lie_v between_o the_o two_o point_n which_o touch_n or_o as_o they_o understand_v a_o point_n the_o superficies_n that_o lie_v between_o the_o two_o nothing_o which_o touch_n 6._o that_o the_o quotient_a be_v the_o proportion_n of_o the_o division_n to_o the_o dividend_n upon_o these_o and_o some_o such_o other_o principle_n be_v ground_v all_o that_o doctor_n wallis_n have_v say_v not_o only_o in_o his_o elenchus_n of_o my_o geometry_n but_o also_o in_o his_o treatise_n of_o the_o angle_n of_o contact_n and_o in_o his_o arithmetica_fw-la infinitorum_fw-la which_o two_o last_v i_o have_v fere_n in_o two_o or_o three_o leaf_n whole_o and_o clear_o confute_v and_o i_o very_o believe_v that_o since_o the_o begin_n of_o the_o world_n there_o have_v not_o be_v nor_o ever_o shall_v be_v so_o much_o absurdity_n write_v in_o geometry_n as_o be_v to_o be_v find_v in_o those_o book_n of_o he_o with_o which_o there_o be_v so_o much_o presumption_n join_v that_o a_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d

of_o the_o like_a conjunction_n can_v be_v expect_v in_o less_o than_o a_o platonic_a year_n the_o cause_n whereof_o i_o imagine_v to_o be_v this_o that_o he_o mistake_v the_o study_n of_o symbol_n for_o the_o study_n of_o geometry_n and_o think_v symbolical_a writing_n to_o be_v a_o new_a kind_n of_o method_n and_o other_o man_n demonstration_n set_v down_o in_o symbol_n new_a demonstration_n the_o way_n of_o analysis_n by_o square_n cube_n etc._n etc._n be_v very_o ancient_a and_o useful_a for_o the_o find_v out_o whatsoever_o be_v contain_v in_o the_o nature_n and_o generation_n of_o rectangled_a plain_n which_o also_o may_v be_v find_v without_o it_o and_o be_v at_o the_o high_a in_o vieta_n but_o i_o never_o see_v any_o thing_n add_v thereby_o to_o the_o science_n of_o geometry_n as_o be_v a_o way_n wherein_o man_n go_v round_o from_o the_o equality_n of_o rectangled_a plain_n to_o the_o equality_n of_o proportion_n and_o thence_o again_o to_o the_o equality_n of_o rectangled_a plain_n wherein_o the_o symbol_n serve_v only_o to_o make_v man_n go_v fast_o about_o as_o great_a wind_n to_o a_o windmill_n it_o be_v in_o science_n as_o in_o plant_n growth_n and_o branch_a be_v but_o the_o generation_n of_o the_o root_n continue_v nor_o be_v the_o invention_n of_o theorem_n any_o thing_n else_o but_o the_o knowledge_n of_o the_o construction_n of_o the_o subject_n prosecute_v the_o unsoundness_n of_o the_o branch_n be_v no_o prejudice_n to_o the_o root_n nor_o the_o fault_n of_o theorem_n to_o the_o principle_n and_o active_a principle_n will_v correct_v false_a theorem_n if_o the_o reason_v be_v good_a but_o no_o logic_n in_o the_o world_n be_v good_a enough_o to_o draw_v evidence_n out_o of_o false_a or_o unactive_a principle_n but_o i_o detain_v your_o lordship_n too_o long_o for_o all_o this_o will_v be_v much_o more_o manifest_a in_o the_o follow_a discourse_n wherein_o i_o have_v not_o only_o explain_v and_o rectify_v many_o of_o the_o most_o important_a principle_n of_o geometry_n but_o also_o by_o the_o example_n of_o those_o error_n which_o have_v be_v commit_v by_o my_o reprehender_n make_v manifest_v the_o evil_a consequence_n of_o the_o principle_n they_o now_o proceed_v on_o so_o that_o it_o be_v not_o only_o my_o own_o defence_n that_o i_o here_o bring_v before_o you_o but_o also_o a_o positive_a doctrine_n concern_v the_o true_a ground_n or_o rather_o atom_n of_o geometry_n which_o i_o dare_v only_o say_v be_v very_o singular_a but_o whether_o they_o be_v very_o good_a or_o not_o i_o submit_v to_o your_o lordship_n judgement_n and_o see_v you_o have_v be_v please_v to_o bestow_v so_o much_o time_n with_o great_a success_n in_o the_o read_n of_o what_o have_v be_v write_v by_o other_o man_n in_o all_o kind_n of_o learning_n i_o humble_o pray_v your_o lordship_n to_o bestow_v also_o a_o little_a time_n upon_o the_o read_n of_o these_o few_o and_o short_a lesson_n and_o if_o your_o lordship_n find_v they_o agreeable_a to_o your_o reason_n and_o judgement_n let_v i_o notwithstanding_o the_o clamour_n of_o my_o adversary_n be_v continue_v in_o your_o good_a opinion_n and_o still_o retain_v the_o honour_n of_o be_v my_o most_o noble_a lord_n london_n june_n 10._o 1656._o your_o lordship_n most_o humble_a and_o oblige_a servant_n thomas_n hobbes_n errata_fw-la page_n 2._o l._n 11._o for_o art_n 〈◊〉_d act_n l._n 12._o for_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d p._n 6._o 〈◊〉_d 23._o for_o mr._n 〈◊〉_d sir_n p._n 21._o l._n 22._o for_o pr●position_n r._n proportion_n p._n 55._o l._n 20._o for_o senctoribus_fw-la r._n senat●ribus_fw-la p._n 56._o l._n 8._o for_o serberius_n r._n sorberius_fw-la lesson_n of_o the_o principle_n of_o geometry_n etc._n etc._n to_o the_o egregious_a professor_n of_o the_o mathematics_n one_o of_o geometry_n the_o other_o of_o astronomy_n in_o the_o chair_n set_v up_o by_o the_o noble_a and_o learned_a sir_n henry_n savile_n in_o the_o university_n of_o oxford_n lesson_n i._n i_o suppose_v most_o egregious_a professor_n you_o know_v already_o that_o by_o geomerry_n though_o the_o word_n import_v no_o more_o but_o the_o measure_n of_o land_n be_v understand_v no_o less_o the_o measure_n of_o all_o other_o quantity_n then_o that_o of_o body_n and_o though_o the_o definition_n of_o geometry_n serve_v not_o for_o proof_n nor_o enter_v into_o any_o geometrical_a demonstration_n yet_o for_o understanding_n of_o the_o principle_n of_o the_o science_n and_o for_o a_o rule_n to_o judge_v by_o who_o be_v a_o geometrician_n and_o who_o be_v not_o i_o hold_v it_o necessary_a to_o begin_v therewith_o geometry_n be_v the_o science_n of_o determine_v the_o quantity_n of_o any_o thing_n not_o measure_v by_o compare_v it_o with_o some_o other_o quantity_n or_o quantity_n measure_v which_o science_n therefore_o whosoever_o shall_v go_v about_o to_o teach_v must_v first_o be_v able_a to_o tell_v his_o disciple_n what_o measure_v or_o dimension_n be_v by_o what_o each_o several_a kind_n of_o quantity_n be_v measure_v what_o quantity_n be_v &_o what_o be_v the_o several_a kind_n thereof_o therefore_o as_o they_o who_o handle_v any_o one_o part_n of_o geometry_n determine_v by_o defiaition_n the_o signify_v cation_n of_o every_o word_n whinch_v they_o make_v the_o subject_a or_o predicate_v of_o any_o theorem_a they_o undertake_v to_o demonstrate_v so_o must_v he_o which_o intend_v to_o write_v a_o whole_a body_n of_o geometry_n define_v and_o determine_v the_o meaning_n of_o whatsoever_o word_n belong_v to_o the_o whole_a science_n the_o design_n of_o euclid_n be_v to_o demonstrate_v the_o property_n of_o the_o five_o regular_a body_n mention_v by_o plato_n in_o which_o demonstration_n there_o be_v no_o need_n to_o allege_v for_o argument_n the_o definition_n of_o quantity_n which_o it_o may_v be_v be_v the_o cause_n he_o have_v not_o any_o where_o define_v it_o but_o do_v what_o he_o undertake_v without_o it_o and_o though_o have_v perpetual_o occasion_n to_o speak_v of_o measure_n he_o have_v not_o define_v measure_n yet_o instead_o thereof_o he_o have_v in_o the_o begin_n of_o his_o first_o element_n assume_v a_o axiom_n which_o serve_v his_o turn_n sufficient_o as_o to_o the_o measure_n of_o line_n which_o be_v the_o eight_o axiom_n that_o those_o thing_n which_o lie_v upon_o one_o another_o all_o the_o way_n call_v by_o he_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d be_v equal_a which_o axiom_n be_v nothing_o else_o but_o a_o description_n of_o the_o art_n of_o measure_v length_n and_o superficies_n for_o this_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d can_v have_v no_o place_n in_o solid_a body_n unless_o two_o body_n can_v at_o the_o same_o time_n be_v in_o one_o place_n but_o among_o the_o principle_n of_o geometry_n universal_a the_o definition_n be_v necessary_a both_o of_o quantity_n and_o dimension_n quantity_n be_v that_o which_o be_v signify_v by_o what_o we_o answer_v to_o he_o that_o ask_v how_o much_o any_o thing_n be_v and_o thereby_o determine_v the_o magnitude_n thereof_o for_o magnitude_n be_v a_o word_n indefinite_a if_o a_o man_n ask_v of_o a_o thing_n quantum_fw-la est_fw-la that_o be_v how_o much_o it_o be_v we_o do_v not_o satisfy_v he_o by_o say_v it_o be_v magnitude_n or_o quantity_n but_o by_o say_v it_o be_v tantum_n so_o much_o and_o they_o that_o first_o call_v it_o in_o greek_a 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d and_o in_o latin_a quantity_n may_v more_o proper_o have_v call_v it_o in_o latin_a tantity_n and_o in_o greek_a 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d and_o we_o if_o we_o allow_v ourselves_o the_o eloquence_n of_o the_o greek_n and_o latin_n shall_v call_v it_o the_o somuchness_n there_o be_v therefore_o to_o every_o thing_n concern_v which_o a_o man_n may_v ask_v without_o absurdity_n how_o much_o it_o be_v a_o certain_a quantity_n belong_v determine_v the_o magnitude_n to_o be_v so_o much_o also_o wheresoever_o there_o be_v more_o and_o less_o there_o be_v one_o kind_n of_o quantity_n or_o other_o and_o first_o there_o be_v the_o quantity_n of_o body_n and_o that_o of_o three_o kind_n length_n which_o be_v by_o one_o way_n of_o measure_v superficies_n make_v of_o the_o complication_n of_o two_o length_n or_o the_o measure_n take_v two_o way_n and_o solid_a which_o be_v the_o complication_n of_o three_o length_n or_o of_o the_o measure_n take_v three_o way_n for_o breadth_n or_o thickness_n be_v but_o other_o length_n and_o the_o science_n of_o geometry_n so_o far_o forth_o as_o it_o contemplate_v body_n only_o be_v no_o more_o but_o by_o measure_v the_o length_n of_o one_o or_o more_o line_n and_o by_o the_o position_n of_o other_o know_v in_o one_o and_o the_o same_o figure_n to_o determine_v by_o ratiocination_n how_o much_o be_v the_o superficies_n and_o by_o measure_v length_n breadth_n and_o thickness_n to_o determine_v the_o quantity_n of_o the_o whole_a