Linguistic DNA - Concept Modelling Demonstrator

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
book_n	good_a	great_a	know_v	2,210	5	3.5210	3	false

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A25363	Dary's miscellanies examined and some of his fundamental errors detected by authority of ancient and modern mathematicians ... : to which is added a task for Mr. Dary of his own setting / by Robert Anderson.	Anderson, Robert, fl. 1668-1696.	1670 (1670)	Wing A3102; ESTC R9335	6,859	16

dary_n miscellany_n examine_v and_o some_o of_o his_o fundamental_a error_n detect_v by_o authority_n of_o ancient_n and_o modern_a mathematician_n the_o ancient_n euclid_n diophantus_n apollonius_n and_o archimedes_n the_o modern_a xylander_n bachetus_n stevin_n albert_n girard_n torricellius_n and_o regeomontanus_fw-la to_o which_o be_v add_v a_o task_n for_o mr._n dary_n of_o his_o own_o set_n by_o robert_n anderson_n london_n print_v for_o philip_n brooksby_n next_o to_o the_o golden_a ball_n near_o the_o hospital_n gate_n in_o west-smithfield_n 1670._o dary_n miscellany_n examine_v and_o some_o of_o his_o fundamental_a error_n detect_v whilst_o those_o miscellany_n be_v print_v i_o meet_v with_o two_o of_o master_n darys_n friend_n together_o at_o their_o office_n in_o holborn_n and_o they_o relate_v to_o i_o that_o master_n dary_n have_v a_o book_n in_o the_o press_n in_o the_o preface_n whereof_o he_o have_v a_o quarrel_n with_o i_o and_o that_o he_o be_v resolve_v to_o vex_v i_o my_o answer_n be_v that_o if_o he_o give_v i_o bad_a language_n i_o will_v lay_v it_o under_o my_o foot_n but_o if_o he_o give_v bad_a mathematics_n i_o will_v return_v it_o to_o he_o again_o therefore_o all_o those_o calumny_n that_o bad_a and_o scurrilous_a language_n for_o such_o be_v their_o only_a demonstration_n either_o by_o he_o or_o by_o any_o of_o his_o crew_n in_o that_o preface_n give_v or_o may_v be_v hereafter_o give_v in_o any_o of_o their_o write_n i_o shall_v take_v no_o further_o notice_n of_o but_o shall_v ever_o lay_v they_o as_o dirt_n under_o foot_n but_o i_o shall_v prosecute_v a_o close_a conviction_n of_o their_o erroneous_a principle_n in_o geometry_n that_o preface_n those_o author_n divide_v into_o two_o part_n the_o first_o against_o stereometrical_a proposition_n the_o second_o in_o defence_n of_o the_o art_n of_o practical_a gage_v and_o as_o they_o have_v little_a to_o say_v against_o the_o first_o they_o have_v as_o little_a to_o say_v in_o defence_n of_o the_o latter_a but_o in_o both_o i_o shall_v easy_o subvert_v their_o cripple_a argument_n to_o the_o first_o in_o the_o first_o page_n of_o the_o preface_n master_n dary_n have_v it_o thus_o in_o the_o tail_n of_o which_o book_n there_o be_v a_o whole_a broad_a side_n here_o he_o be_v outrageous_a because_o he_o be_v so_o perfect_o confute_v in_o the_o tail_n of_o the_o guide_n to_o the_o young_a gager_n true_o as_o it_o be_v the_o confutation_n of_o the_o art_n of_o practical_a gage_v it_o deserve_v no_o better_a preferment_n than_o to_o be_v put_v in_o the_o tail_n of_o the_o young_a gager_n guide_v however_o if_o i_o find_v master_n dary_n understanding_n improve_v by_o my_o instruction_n there_o give_v in_o these_o his_o miscellany_n i_o shall_v to_o encourage_v he_o commend_v he_o in_o the_o tail_n of_o this_o in_o the_o second_o page_n of_o the_o preface_n he_o have_v these_o word_n the_o word_n frustum_fw-la pyramid_n i_o can_v understand_v but_o if_o he_o have_v say_v frustum_fw-la of_o a_o pyramid_n etc._n etc._n this_o complaint_n may_v consist_v of_o three_o part_n first_o frustum_fw-la pyramid_n second_o i_o can_v understand_v three_o frustum_fw-la of_o a_o pyramid_n if_o we_o compare_v the_o first_o with_o the_o last_o we_o shall_v find_v they_o both_o of_o one_o signification_n for_o frustum_fw-la signify_v a_o break_a piece_n therefore_o it_o be_v as_o well_o sense_n to_o say_v a_o break_a pyramid_n as_o to_o say_v a_o piece_n of_o a_o pyramid_n one_o familiar_a example_n for_o many_o a_o break_a knife_n as_o to_o say_v a_o piece_n of_o a_o knife_n such_o expression_n be_v brief_a and_o well_o understand_v both_o signify_v the_o same_o thing_n and_o he_o himself_o use_v the_o same_o expression_n in_o the_o 31_o and_o 32._o 89_o pag_n of_o the_o art_n of_o practical_a gage_v thus_o be_v the_o content_a of_o the_o frustum_fw-la pyramid_n and_o in_o 29_o page_n of_o that_o book_n of_o art_n you_o have_v it_o thus_o master_n michael_n dary_n a_o ingenious_a artist_n and_o practise_a gager_n when_o it_o be_v the_o frustum_fw-la of_o a_o cylindriod_n here_o we_o find_v he_o a_o give_v himself_o a_o good_a character_n and_o then_o tell_v we_o of_o a_o frustum_fw-la of_o a_o cylindriod_n and_o in_o page_n 32_o of_o that_o book_n of_o art_n thus_o to_o cut_v this_o cylindriod_n here_o we_o may_v observe_v this_o ingenious_a artist_n how_o in_o one_o page_n he_o call_v it_o a_o frustum_fw-la of_o a_o cylindriod_n and_o immediate_o he_o call_v the_o same_o solid_a a_o cylindriod_n so_o he_o make_v no_o difference_n betwixt_o the_o part_n and_o the_o whole_a further_o as_o for_o those_o mighty_a word_n of_o art_n to_o wit_n cylindroid_fw-fr prismoid_a and_o peripetasma_fw-la i_o shall_v say_v only_o this_o oft_o have_v i_o know_v some_o man_n of_o no_o great_a part_n stuff_v up_o their_o mouth_n with_o mighty_a word_n of_o art_n for_o his_o 2._o complaint_n that_o be_v i_o can_v understand_v it_o trouble_v i_o to_o hear_v it_o yet_o i_o see_v his_o understanding_n mend_v a_o little_a as_o we_o shall_v observe_v hereafter_o in_o the_o same_o page_n he_o be_v angry_a because_o that_o irregular_a frustum_fw-la be_v cut_v into_o so_o many_o part_n if_o that_o do_v not_o please_v his_o worship_n he_o may_v take_v one_o of_o the_o other_o way_n which_o cut_v that_o solid_a into_o few_o part_n for_o there_o be_v four_o way_n every_o one_o less_o work_n than_o other_o but_o the_o gunner_n and_o his_o crew_n must_v be_v a_o shoot_v though_o but_o with_o potgun_n in_o the_o three_o page_n our_o gunner_n give_v the_o seven_o prop._n of_o the_o 5_o of_o diophantus_n a_o broadside_n thus_o the_o stress_n of_o his_o argument_n be_v weak_a and_o infirm_a though_o we_o shall_v grant_v z_o equal_v to_o â…—_n it_o be_v yet_o to_o demonstrate_v that_o z_o be_v 3_o and_o a_o 5._o a_o by_o supposition_n be_v a_o unit_fw-la then_o reduce_v they_o to_o one_o denomination_n and_o that_o denomination_n be_v reject_v z_o will_v be_v equal_a to_o 3_o and_o a_o equal_a to_o 5_o this_o he_o look_v upon_o as_o a_o hard_a demonstration_n which_o i_o be_o not_o bind_v to_o tell_v he_o how_o to_o do_v say_v he_o further_o he_o dwindle_n to_o his_o reader_n hope_v for_o glory_n and_o will_v know_v whether_o this_o proposition_n have_v any_o relation_n at_o all_o to_o gage_v i_o answer_v yes_o and_o argue_v thus_o number_n have_v relation_n to_o gage_v this_o proposition_n be_v of_o number_n therefore_o this_o proposition_n have_v relation_n to_o gage_v again_o triangle_n have_v relation_n to_o gage_v this_o proposition_n be_v of_o triangle_n therefore_o this_o proposition_n have_v relation_n to_o gage_v this_o prop._n which_o he_o quarrel_v with_o be_v the_o 7._o of_o 5._o of_o diophantus_n as_o be_v cite_v in_o the_o 106_o page_n of_o stereo_n prop._n and_o see_v he_o have_v so_o much_o immodesty_n as_o to_o say_v his_o argument_n be_v weak_a and_o infirm_a i_o shall_v set_v down_o the_o text_n as_o bachetus_n have_v it_o esto_fw-la primus_fw-la 1_o n._n secundus_fw-la unitatum_fw-la quotlibet_fw-la puta_fw-la 1._o &_o est_fw-la productus_fw-la eorum_fw-la multiplicatione_n 1_o n._n summa_fw-la vero_fw-la quadratorum_fw-la est_fw-la 1_o q_n +_o 1._o add_v 1_o n._n fit_a 1_o q_o +_o 1_o n_o +_o 1_o aequalis_fw-la quadrato_fw-la esto_fw-la latus_fw-la ejus_fw-la 1_o n_o âˆ’_o 2._o fit_a quadratus_fw-la 1_o q_n +_o 4_o âˆ’_o 4_o n._n aequalis_fw-la 1_o q_n +_o 1_o n_o +_o 1._o &_o fit_v 1_o n._n â…—_n ad_fw-la positiones_fw-la erit_fw-la primus_fw-la â…—_n secundus_fw-la 5_o 5_o &_o abjecto_fw-la denominatore_fw-la erit_fw-la primus_fw-la 3._o secundus_fw-la 5._o &_o postulatis_fw-la respondent_fw-la so_o then_o i_o have_v these_o witness_n on_o my_o side_n 1._o diophantus_n the_o author_n of_o the_o proposition_n 2._o xylander_n 3._o bachetus_n 4._o stevin_n 5._o albert_n girard_n those_o four_o commentator_n upon_o diophantus_n every_o one_o of_o they_o set_v it_o as_o above_o 6._o truth_n itself_o and_o it_o will_v prevail_v so_o then_o if_o mr._n dary_n can_v bring_v better_a authority_n than_o these_o on_o his_o side_n for_o the_o stress_n of_o his_o argument_n i_o shall_v conclude_v that_o pride_n and_o ignorance_n be_v baffle_v and_o where_o he_o say_v i_o fling_v dirt_n in_o the_o face_n of_o van_n schooten_n i_o may_v very_o well_o say_v he_o flinge_v dirt_n in_o the_o face_n of_o these_o 5_o author_n yea_o and_o in_o the_o face_n of_o truth_n itself_o further_o have_v this_o 7._o and_o 8._o prop._n of_o the_o 5_o of_o diop_n be_v observe_v by_o the_o proposer_n and_o resolver_n of_o that_o question_n it_o be_v very_o likely_a it_o will_v not_o have_v be_v propose_v by_o the_o one_o nor_o resolve_v by_o the_o other_o however_o what_o i_o say_v concern_v van-schooten_a and_o des_fw-fr cartes_n be_v true_a and_o just_a therefore_o no_o dirt_n in_o

the_o four_o page_n our_o gunner_n have_v more_o firework_n to_o wit_n his_o note_n for_o progression_n be_v invalid_a and_o of_o no_o force_n for_o say_v he_o there_o be_v no_o need_n of_o unity_n for_o the_o first_o term_n of_o this_o progression_n my_o answer_n be_v that_o note_n for_o progression_n be_v of_o force_n and_o truth_n and_o unity_n of_o use_n thus_o the_o question_n itself_o require_v whole_a number_n the_o seven_o of_o the_o five_o of_o dioph._n find_v whole_a number_n therefore_o greathan_fw-ge a_o unit_fw-la therefore_o well_o limit_v the_o second_o part_n in_o defence_n of_o the_o art_n of_o practical_a gage_v and_o it_o begin_v in_o the_o five_o page_n and_o there_o he_o tell_v his_o reader_n how_o he_o have_v be_v commend_v by_o divers_a artist_n in_o this_o city_n here_o he_o appeal_v to_o man_n as_o ignorant_a as_o himself_o be_v vain_a glorious_a in_o the_o 6_o pag._n he_o flinge_v dirt_n in_o the_o face_n of_o the_o printer_n thus_o in_o which_o i_o see_v there_o be_v many_o press-fault_n that_o be_v false_a they_o be_v the_o segment_n maker_n fault_n for_o the_o segment_n be_v the_o compliment_n of_o one_o to_o the_o other_o to_o 100000_o etc._n etc._n therefore_o no_o printer_n fault_n in_o the_o six_o and_o seven_o page_n he_o show_v how_o to_o calculate_v a_o table_n of_o segment_n and_o here_o his_o understanding_n mend_v a_o little_a for_o he_o work_v pretty_a well_o since_o the_o last_o time_n i_o teach_v he_o so_o then_o as_o one_o mend_v in_o his_o rule_n so_o i_o hope_v the_o other_o will_v mend_v in_o his_o calculation_n with_o that_o instruction_n i_o former_o give_v he_o so_o we_o may_v expect_v a_o better_a table_n of_o segment_n some_o time_n or_o other_o in_o the_o 8._o page_n he_o again_o dwindle_n and_o will_v fain_o insinuate_v into_o the_o affection_n of_o his_o reader_n and_o make_v he_o believe_v that_o i_o do_v not_o know_v that_o there_o be_v a_o three_o etc._n etc._n difference_n in_o the_o table_n of_o segment_n to_o speak_v the_o truth_n that_o table_n of_o segment_n be_v calculate_v so_o false_o that_o the_o first_o difference_n do_v manifest_o show_v it_o further_o if_o mr._n dary_n have_v know_v that_o way_n or_o any_o other_o way_n better_o to_o examine_v table_n by_o before_o he_o publish_v those_o segment_n more_o shame_n to_o he_o to_o publish_v such_o false_a table_n without_o examination_n in_o the_o 9_o and_o 10._o pa._n the_o gunner_n have_v fire_n and_o gunpowder_n viz._n know_v you_o not_o that_o the_o table_n for_o wine_n ale_n and_o beer_n be_v capable_a but_o only_o of_o the_o first_o and_o second_o difference_n if_o so_o more_o shame_n to_o the_o calculator_n that_o they_o have_v more_o diff_n and_o they_o so_o much_o confuse_o put_v as_o for_o that_o book_n entitle_v a_o guide_n to_o the_o young_a gager_n i_o know_v not_o the_o man_n nor_o hear_v of_o the_o book_n until_o a_o great_a part_n of_o it_o be_v print_v neither_o do_v i_o see_v one_o line_n of_o that_o part_n of_o it_o till_o it_o be_v public_o expose_v to_o sale_n thus_o have_v i_o pass_v through_o this_o fiery_a conflict_n and_o have_v not_o hear_v the_o bounce_n of_o one_o gun_n nor_o receive_v any_o harm_n which_o make_v i_o conclude_v our_o gunner_n and_o his_o crew_n be_v as_o bad_a mark_n man_n as_o they_o be_v segment_n maker_n for_o he_o promise_v at_o the_o begin_n of_o his_o preface_n to_o charge_v his_o gun_n and_o pepper_n i_o thus_o have_v i_o consider_v he_o as_o a_o gunner_n with_o his_o crew_n now_o will_v i_o consider_v he_o as_o a_o geometer_n with_o his_o famous_a companion_n these_o famous_a man_n who_o true_a descent_n do_v run_v from_o age_a neptune_n and_o the_o glorious_a sun_n a_o examination_n of_o dary_n miscellany_n in_o the_o first_o page_n of_o the_o preface_n he_o say_v most_n whereof_o have_v lie_v by_o i_o many_o year_n if_o so_o i_o hope_v very_o true_a 1_o in_o the_o second_o page_n of_o the_o preface_n say_v he_o for_o although_o the_o side_n thereof_o be_v continue_v they_o will_v never_o be_v include_v or_o terminate_v in_o one_o point_n as_o the_o pyramid_n be_v that_o be_v the_o side_n of_o a_o pyramid_n be_v include_v in_o one_o point_n which_o i_o deny_v thus_o a_o point_n have_v no_o part_n by_o 1_o def_n 1_o euclid_n a_o superfice_n for_o such_o be_v the_o side_n of_o a_o pyramid_n have_v length_n and_o breadth_n 5_o def_n 1_o euclid_n that_o which_o have_v no_o part_n to_o include_v that_o which_o have_v length_n and_o breadth_n be_v absurd_a that_o be_v a_o lump_v point_n for_o a_o able_a anylist_n 2_o in_o the_o fourteen_o page_n say_v he_o the_o 3_o angle_n of_o any_o spherical_a triangle_n be_v give_v there_o be_v likewise_o three_o side_n of_o another_o spherical_a triangle_n give_v who_o angle_n be_v equal_a to_o the_o side_n of_o the_o former_a triangle_n here_o the_o gentleman_n forget_v to_o compliment_n and_o i_o presume_v in_o the_o next_o they_o will_v forget_v all_o good_a manner_n further_o the_o sum_n of_o the_o side_n of_o any_o spherical_a triangle_n be_v less_o than_o two_o semicircle_n reg._n 39_o of_o 3._o the_o sum_n of_o the_o three_o angle_n of_o any_o spherical_a triangle_n be_v great_a than_o two_o right_a angle_n but_o less_o than_o six_o reg._n 49_o of_o 3._o therefore_o the_o rule_n be_v false_a except_o the_o sum_n of_o the_o three_o side_n be_v great_a than_o two_o right_a angle_n but_o the_o rule_n be_v set_v down_o general_a therefore_o a_o general_a error_n 3_o in_o page_n 21._o we_o have_v it_o thus_o if_o a_o sphere_n be_v by_o a_o plain_a touch_v and_o the_o eye_n be_v place_v at_o the_o centre_n of_o the_o sphere_n than_o a_o right_a line_n infinite_o extend_v from_o the_o eye_n to_o any_o assign_a point_n in_o the_o spherical_a surface_n shall_v project_v the_o assign_a point_n upon_o the_o plain_a here_o the_o radius_fw-la of_o the_o sphere_n be_v take_v to_o be_v infinite_a for_o say_v he_o than_o a_o right_a line_n infinite_o extend_v from_o the_o eye_n to_o any_o assign_a point_n in_o the_o spherical_a surface_n but_o the_o plain_n be_v without_o the_o sphere_n therefore_o beyond_o infiniteness_n itself_o which_o be_v absurd_a however_o this_o prove_v they_o to_o be_v infinite_a projector_n 4_o in_o page_n 29._o at_o the_o 18_o it_o be_v thus_o if_o a_o sphere_n be_v enclose_v in_o a_o cylinder_n and_o that_o cylinder_n be_v cut_v with_o plain_n parallel_v to_o its_o base_a than_o the_o intercept_a ring_n of_o the_o cylinder_n be_v equal_a to_o the_o intercept_a surface_n of_o the_o respective_a segment_n of_o the_o sphere_n that_o be_v false_a for_o hemisphaerii_n superficies_n aequalis_fw-la est_fw-la superficiei_fw-la curvae_fw-la cylindri_fw-la eadem_fw-la ipsi_fw-la basim_fw-la &_o eadem_fw-la altitudinem_fw-la habentis_fw-la say_v torricellius_n at_o the_o 18._o prop._n de_fw-fr sphaera_fw-la &_o solidis_fw-la sphaeralibus_fw-la lib._n prim_fw-la and_o as_o the_o whole_a so_o the_o part_n by_o the_o 19_o prop._n of_o the_o same_o here_o we_o have_v a_o combat_n betwixt_o torricellius_n and_o our_o geometer_n first_o they_o say_v the_o intercept_a ring_n of_o the_o cylinder_n be_v equal_a to_o the_o intercept_a surface_n of_o the_o respective_a segment_n of_o the_o sphere_n torricellius_n prove_v that_o the_o intercept_a superfice_n of_o the_o cylinder_n be_v equal_a to_o the_o intercept_a superfice_n of_o the_o respective_a segment_n of_o the_o sphere_n 2._o these_o geometer_n say_v if_o a_o sphere_n be_v enclose_v in_o a_o cylinder_n here_o we_o may_v make_v the_o diameter_n of_o the_o base_a of_o the_o cylinder_n of_o any_o magnitude_n great_a than_o the_o diameter_n of_o the_o sphere_n and_o yet_o the_o sphere_n be_v enclose_v torricellius_n prove_v that_o the_o cylinder_n and_o hemisphere_n must_v have_v the_o same_o base_a 3._o these_o geometer_n regard_v it_o not_o whether_o the_o sphere_n and_o cylinder_n be_v upright_a or_o incline_v torricellius_n by_o construction_n make_v they_o upright_o thus_o do_v these_o geometer_n make_v solid_a superfice_n for_o a_o ring_n be_v solid_a 5_o in_o page_n 33._o they_o set_v down_o a_o rule_n for_o the_o sphere_n and_o conclude_v it_o will_v hold_v in_o the_o spheroid_fw-fr this_o rule_n will_v also_o hold_v if_o it_o be_v the_o frustum_fw-la of_o a_o spheroid_fw-fr put_v dâ—d_v equal_a to_o the_o fact_n of_o the_o right_a angle_a conjugate_v in_o the_o base_a that_o be_v false_a by_o 21_o of_o 1_o of_o apollonius_n and_o 31_o and_o 33_o of_o archimedes_n of_o conoid_v and_o spheroid_v for_o the_o diameter_n of_o the_o base_a one_o way_n or_o the_o right_a angle_a conjugate_v of_o the_o base_a the_o other_o with_o the_o height_n of_o either_o will_v not_o limit_v a_o spheroid_fw-fr as_o the_o diameter_n of_o the_o base_a and_o the_o height_n do_v a_o sphere_n this_o

Selected quad for the lemma: book_n

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