Selected quad for the lemma: truth_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
truth_n	believe_v	know_v	speak_v	4,329	5	4.2546	3	true

Text snippets containing the quad

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

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 d●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