Selected quad for the lemma: book_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
book_n	author_n	find_v	great_a	1,744	5	2.5325	3	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A48262	Mathematicall recreations. Or, A collection of many problemes, extracted out of the ancient and modern philosophers as secrets and experiments in arithmetick, geometry, cosmographie, horologiographie, astronomie, navigation, musick, opticks, architecture, statick, mechanicks, chemistry, water-works, fire-works, &c. Not vulgarly manifest till now. Written first in Greeke and Latin, lately compi'ld in French, by Henry Van Etten, and now in English, with the examinations and augmentations of divers modern mathematicians whereunto is added the description and use of the generall horologicall ring: and the double horizontall diall. Invented and written by William Oughtred.; Récréation mathématique. English.	Oughtred, William, 1575-1660. aut	1653 (1653)	Wing L1790; ESTC R217635	140,825	339

be_v 3_o foot_n and_o a_o half_a long_o and_o so_o much_o also_o be_v his_o thumb_n in_o length_n now_o the_o thickness_n be_v always_o the_o three_o part_n of_o the_o length_n it_o shall_v seem_v that_o his_o thumb_n be_v a_o foot_n thick_a at_o the_o least_o three_o the_o say_a pliny_n in_o the_o same_o place_n report_v that_o nero_n do_v cause_n to_o come_v out_o of_o france_n into_o italy_n a_o brave_a and_o bold_a statue-maker_n call_v zenodocus_n to_o erect_v he_o a_o colossus_n of_o brass_n which_o be_v make_v of_o 120_o foot_n in_o height_n which_o nero_n cause_v to_o be_v paint_v in_o the_o same_o height_n now_o will_v you_o know_v the_o greatness_n of_o the_o member_n of_o this_o colossus_n the_o breadth_n will_v be_v 20_o foot_n his_o face_n 12_o foot_n his_o thumb_n and_o his_o nose_n 4_o foot_n according_a to_o the_o proportion_n before_o deliver_v thus_o i_o have_v a_o fair_a field_n or_o subject_n to_o extend_v myself_o upon_o but_o it_o be_v upon_o another_o occasion_n that_o it_o be_v undertake_v let_v we_o speak_v therefore_o a_o word_n touch_v the_o giant_n and_o then_o pass_v away_o to_o the_o matter_n of_o monstrous_a giant_n you_o will_v hardly_o believe_v all_o that_o which_o i_o say_v touch_v this_o neither_o will_v i_o believe_v all_o that_o which_o author_n say_v upon_o this_o subject_n notwithstanding_o you_o nor_o i_o can_v deny_v but_o that_o long_a ago_o there_o have_v be_v man_n of_o a_o most_o prodigious_a greatness_n for_o the_o holy_a write_n witness_v this_o themselves_o in_o deut_n chap._n 3._o that_o there_o be_v a_o certain_a giant_n call_v og_n of_o the_o town_n of_o rabath_n who_o have_v a_o bed_n of_o iron_n the_o length_n thereof_o be_v 9_o cubit_n and_o in_o breadth_n 4_o cubit_n so_o in_o the_o first_o of_o king_n chap._n 17._o there_o be_v mention_v make_v of_o goliath_n who_o height_n be_v a_o palm_n and_o 6_o cubit_n that_o be_v more_o than_o 9_o foot_n he_o be_v arm_v from_o the_o head_n to_o the_o foot_n and_o his_o curiat_n only_o with_o the_o iron_n of_o his_o lance_n weigh_v five_o thousand_o and_o six_o hundred_o shekel_n which_o in_o our_o common_a weight_n be_v more_o than_o 233_o pound_n of_o 12_o ounce_n to_o the_o pound_n now_o it_o be_v certain_a that_o the_o rest_n of_o his_o arm_n take_v his_o target_n helmet_n bracelet_n and_o other_o armour_n together_o do_v weigh_v at_o the_o least_o 5_o hundred_o pound_n a_o thing_n prodigious_a see_v that_o the_o strong_a man_n that_o now_o be_v can_v hardly_o bear_v 200_o pound_n yet_o this_o giant_n carry_v this_o as_o a_o vesture_n without_o pain_n solinus_n report_v in_o his_o 5_o chap._n of_o his_o history_n that_o during_o the_o grecian_n war_n after_o a_o great_a overflow_a of_o the_o river_n there_o be_v find_v upon_o the_o sand_n the_o carcase_n of_o a_o man_n who_o length_n be_v 33_o cubit_n that_o be_v 49_o foot_n and_o a_o half_a therefore_o according_a to_o the_o proportion_n deliver_v his_o face_n shall_v be_v 5_o foot_n in_o length_n a_o thing_n prodigious_a and_o monstrous_a pliny_n in_o his_o 7._o book_n and_o 16_o chap._n say_v that_o in_o the_o isle_n of_o crete_n or_o candie_n a_o mountain_n be_v cleave_v by_o a_o earthquake_n there_o be_v a_o body_n stand_v upright_o which_o have_v 46_o cubit_n of_o height_n some_o believe_v that_o it_o be_v the_o body_n of_o orion_n or_o othus_n but_o i_o think_v rather_o it_o be_v some_o ghost_n or_o some_o delusion_n who_o hand_n shall_v have_v be_v 7_o foot_n and_o his_o nose_n two_o foot_n and_o a_o half_a long_o but_o that_o which_o plutarch_n in_o the_o l●fe_n of_o sertorius_n report_v of_o be_v more_o strange_a who_o say_v that_o in_o timgy_a a_o morative_n town_n where_o it_o be_v think_v that_o the_o giant_n antheus_n be_v bury_v sertorius_n can_v not_o believe_v that_o which_o be_v report_v of_o his_o prodigious_a greatness_n cause_v his_o sepulchre_n to_o be_v open_v and_o find_v that_o his_o body_n do_v contain_v 60_o cubit_n in_o length_n then_o by_o proportion_n he_o shall_v be_v 10_o cubit_n or_o 15_o foot_n in_o breadth_n 9_o foot_n for_o the_o length_n of_o his_o face_n 3_o foot_n for_o his_o thumb_n which_o be_v near_o the_o capacity_n of_o the_o colossus_n at_o rhodes_n but_o behold_v here_o a_o fine_a fable_n of_o symphoris_n campesius_n in_o his_o book_n entitle_v hortus_fw-la gallicus_n who_o say_v that_o in_o the_o kingdom_n of_o sicily_n at_o the_o foot_n of_o a_o mountain_n near_o trepane_n in_o open_v the_o foundation_n of_o a_o house_n they_o find_v a_o cave_n in_o which_o be_v ●aid_v a_o giant_n which_o hold_v in_o stead_n of_o a_o staff_n a_o great_a post_n like_o the_o mast_n of_o a_o ship_n and_o go_v to_o handle_v it_o it_o moulder_a all_o into_o ash_n except_o the_o bone_n which_o remain_v of_o a_o exceed_o great_a measure_n that_o in_o his_o head_n there_o may_v be_v easy_o place_v 5_o quarter_n of_o corn_n and_o by_o proportion_n it_o shall_v seem_v that_o his_o length_n be_v 200_o cubit_n or_o 300_o foot_n if_o he_o have_v say_v that_o he_o have_v be_v 300_o cubit_n in_o length_n than_o he_o may_v have_v make_v we_o believe_v that_o noah_n ark_n be_v but_o great_a enough_o for_o his_o sepulchre_n who_o can_v believe_v that_o any_o man_n ever_o have_v 20_o cubit_n or_o 30_o foot_n in_o length_n for_o his_o face_n and_o a_o nose_n of_o 10_o foot_n long_o but_o it_o be_v very_o certain_a that_o there_o have_v be_v man_n of_o very_a great_a stature_n as_o the_o holy_a scripture_n before_o witness_n and_o many_o author_n worthy_a of_o belief_n relate_v josephus_n acosta_n in_o his_o first_o book_n of_o the_o indian_a history_n chap._n 19_o a_o late_a writer_n report_v that_o at_o peru_n be_v find_v the_o bone_n of_o a_o giant_n which_o be_v 3_o time_n great_a than_o these_o of_o we_o be_v that_o be_v 18_o foot_n for_o it_o be_v usual_o attribute_v to_o the_o tall_a ordinary_a man_n in_o these_o our_o time_n but_o 6_o foot_n of_o length_n and_o history_n be_v full_a of_o the_o description_n 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touch_v another_o bowl_n or_o when_o a_o trapstick_a strike_v the_o ball_n the_o move_a of_o the_o ball_n be_v make_v in_o a_o right_a line_n which_o be_v draw_v from_o the_o centre_n of_o the_o bowl_n by_o the_o point_n of_o contingencie_n second_o in_o all_o kind_n of_o such_o motion_n when_o a_o ball_n or_o bowl_n rebound_v be_v it_o either_o against_o wood_n a_o wall_n upon_o a_o drum_n a_o pavement_n or_o upon_o a_o racket_n the_o incident_a angle_n be_v always_o equal_a to_o the_o angle_n of_o reflection_n now_o follow_v these_o maxim_n it_o be_v easy_a to_o canclude_v first_o in_o what_o part_n of_o the_o wood_n or_o wall_n one_o may_v make_v the_o bowl_n or_o ball_n go_v to_o reflect_v or_o rebound_v to_o such_o a_o place_n as_o one_o will_v second_o how_o one_o may_v cast_v a_o bowl_n upon_o another_o in_o such_o sort_n that_o the_o first_o or_o the_o second_o shall_v go_v and_o meet_v with_o the_o three_o keep_v the_o reflection_n or_o angle_n of_o incidence_n equal_a thirly_n how_o one_o may_v touch_v a_o bowl_n to_o send_v it_o to_o what_o part_v one_o please_v such_o and_o many_o other_o practice_n may_v be_v do_v at_o the_o exercise_n at_o keyl_n there_o must_v be_v take_v heed_n that_o the_o motion_n slack_a or_o diminish_v by_o little_a and_o little_a and_o may_v be_v note_v that_o the_o maxim_n of_o reflection_n can_v be_v exact_o observe_v by_o local_a motion_n as_o in_o the_o beam_n of_o light_n and_o of_o other_o quality_n whereof_o it_o be_v necessary_a to_o supply_v it_o by_o industry_n or_o by_o strength_n otherwise_o one_o may_v be_v frustrate_v in_o that_o respect_n problem_n lxxii_o of_o the_o game_n

mathematical_a recreation_n or_o a_o collection_n of_o many_o problem_n extract_v out_o of_o the_o ancient_n and_o modern_a philosopher_n as_o secret_n and_o experiment_n in_o arithmetic_n geometry_n cosmographie_n horologiographie_n astronomy_n navigation_n music_n optic_n architecture_n stati●k_n mechanic_n chemistry_n water-work_n firework_n etc._n etc._n not_o vulgar_o manifest_a till_o now_o write_a first_o in_o greek_a and_o latin_a late_o compi'ld_v in_o french_a by_z henry_n van_n etten_n and_o now_o in_o english_a with_o the_o examination_n and_o augmentation_n of_o divers_a modern_a mathematician_n whereunto_o be_v add_v the_o description_n and_o use_v of_o the_o general_n horologicall_a ring_n and_o the_o double_a horizontall_a dial_n invent_v and_o write_v by_o william_n oughtre_v london_n print_v for_o william_n leake_n at_o the_o sign_n of_o the_o crown_n in_o fleetstreet_n between_o the_o two_o temple_n gate_n mdcliii_o on_o the_o frontispiece_n and_o book_n all_o 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descry_v with_o strange_a experiment_n in_o astronomy_n and_o navigation_n with_o each_o several_a picture_n in_o music_n optic_n and_o in_o architecture_n in_o statick_a machanick_n and_o chemistry_n in_o water-work_n and_o to_o ascend_v more_o high_a in_o firework_n like_v to_o jove_n artillery_n all_o this_o i_o know_v thou_o in_o this_o book_n shall_v find_v and_o here_o be_v enough_o for_o to_o content_v thy_o mind_n for_o from_o good_a author_n this_o our_o author_n draw_v these_o recreation_n which_o be_v strange_a and_o true_a so_o that_o this_o book_n be_v a_o centre_n and_o it_o be_v fit_a that_o in_o this_o centre_n line_n of_o praise_n shall_v meet_v w._n mathematical_a recreation_n or_o a_o collection_n of_o sundry_a excellent_a problem_n out_o of_o ancient_a &_o modern_a philosopher_n both_o useful_a and_o recreative_a print_v for_o william_n leake_n and_o be_v to_o be_v sell_v at_o the_o crown_n in_o fleet_n street_n between_o the_o two_o temple_n gate_n to_o the_o thrice_o noble_a and_o most_o generous_a lo._n the_o lo._n lambert_n verreyken_n lo._n of_o hinden_n wolverthem_fw-mi etc._n etc._n my_o honourable_a lo._n among_o the_o rare_a and_o curious_a proposition_n which_o i_o have_v learn_v out_o of_o the_o study_n of_o the_o mathematics_n in_o the_o famous_a university_n of_o pont_n a_o mousson_n i_o have_v take_v singular_a pleasure_n in_o certain_a problem_n no_o less_o ingenious_a than_o recreative_a which_o draw_v i_o unto_o the_o search_n of_o demonstration_n more_o difficult_a and_o serious_a some_o of_o which_o i_o have_v amass_v and_o cause_v to_o pass_v the_o press_n and_o here_o dedicate_v they_o now_o unto_o your_o honour_n not_o that_o i_o account_v they_o worthy_a of_o your_o view_n but_o in_o part_n to_o testify_v my_o affectionate_a desire_n to_o serve_v you_o and_o to_o satisfy_v the_o curious_a who_o delight_n themselves_o in_o these_o pleasant_a study_n know_v well_o that_o the_o nobility_n and_o gentry_n rather_o study_v the_o mathematical_a art_n to_o content_v and_o satisfy_v their_o affection_n in_o the_o speculation_n of_o such_o admirable_a experiment_n as_o be_v extract_v from_o they_o than_o in_o hope_n of_o gain_n to_o fill_v their_o purse_n all_o which_o study_v and_o other_o with_o my_o whole_a endeavour_n i_o shall_v always_o dedicate_v unto_o your_o honour_n with_o a_o ardent_a desire_n to_o be_v account_v ever_o your_o most_o humble_a and_o obedient_a nephew_n and_o servant_n h._n van_n etten_n by_o way_n of_o advertisement_n five_o or_o six_o thing_n i_o have_v think_v worthy_a to_o declare_v before_o i_o pass_v further_o first_o that_o i_o place_v not_o the_o speculative_a demonstration_n with_o all_o these_o problem_n but_o content_v myself_o to_o show_v they_o as_o at_o the_o finger_n end_n which_o be_v my_o plot_n and_o intention_n because_o those_o which_o understand_v the_o mathematics_n can_v conceive_v they_o easy_o other_o for_o the_o most_o part_n will_v content_v themselves_o 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but_o in_o he_o that_o fail_v in_o the_o act_n of_o it_o four_o in_o certain_a arithmetical_a proposition_n they_o have_v only_o their_o answer_n as_o i_o find_v they_o in_o sundry_a author_n which_o any_o one_o be_v studious_a of_o mathematical_a learning_n may_v find_v their_o original_n and_o also_o the_o way_n of_o their_o operation_n five_o because_o the_o number_n of_o these_o problem_n and_o their_o dependence_n be_v many_o and_o intermix_v i_o think_v it_o convenient_a to_o gather_v they_o into_o a_o table_n that_o so_o each_o one_o according_a to_o his_o fancy_n may_v make_v best_a choice_n of_o that_o which_o may_v best_o please_v his_o palate_n the_o matter_n be_v not_o of_o one_o nature_n nor_o of_o like_a subtlety_n but_o whosoever_o will_v have_v patience_n to_o read_v on_o shall_v find_v the_o end_n better_o than_o the_o beginning_n to_o the_o reader_n it_o have_v be_v observe_v by_o many_o that_o sundry_a fine_a wit_n as_o well_o among_o the_o ancient_n as_o modern_a have_v sport_v and_o delight_v themselves_o upon_o several_a thing_n of_o small_a consequence_n as_o upon_o the_o foot_n of_o a_o fly_n upon_o a_o straw_n upon_o a_o point_n nay_o upon_o nothing_o strive_v as_o it_o be_v to_o show_v the_o greatness_n of_o their_o glory_n in_o the_o smallness_n of_o the_o subject_n and_o have_v among_o most_o solid_a and_o artificial_a conclusion_n compose_v and_o produce_v sundry_a invention_n both_o philosophical_a and_o mathematical_a to_o solace_v the_o mind_n and_o recreate_v the_o spirit_n which_o the_o succeed_a age_n have_v embrace_v and_o from_o they_o glean_v and_o extract_v many_o admirable_a and_o rare_a conclusion_n judge_v that_o borrow_a matter_n oftentime_o yield_v praise_n to_o the_o industry_n of_o its_o author_n hence_o for_o thy_o use_n courteous_a reader_n i_o have_v with_o great_a search_n and_o labour_v collect_v also_o and_o heap_v up_o together_o in_o a_o body_n of_o these_o pleasant_a and_o fine_a experiment_n to_o stir_v up_o and_o delight_v the_o affectionate_a out_o of_o the_o write_n of_o socrates_n plato_n aristotle_n demosthenes_n pythagoras_n democrates_n pliny_n hyparchus_n euclides_n vitruvius_n diaphantus_fw-la pergaeus_n archimedes_n papus_n alexandrinus_n vitellius_n ptolomaeus_n copernicus_n proclus_n mauralicus_n cardanus_n valalpandus_n kepleirus_n gilbertus_n tychonius_n dureirus_n josephus_n clavius_n gallileus_n maginus_fw-la euphanus_n tyberill_n and_o other_o know_v art_n imitate_v nature_n that_o glory_v always_o in_o the_o variety_n of_o thing_n which_o she_o produce_v to_o satisfy_v the_o mind_n of_o curious_a inquisitor_n and_o though_o perhaps_o these_o labour_n to_o some_o humourous_a person_n may_v seem_v vain_a and_o ridiculous_a for_o such_o it_o be_v not_o undertake_v but_o for_o those_o which_o intentive_o have_v desire_v and_o ●ought_v after_o the_o knowledge_n of_o those_o thing_n it_o be_v a_o invitation_n and_o motive_n to_o the_o search_n of_o great_a matter_n and_o to_o employ_v the_o mind_n in_o useful_a knowledge_n rather_o than_o to_o be_v busy_v in_o vain_a

pamphlet_n playbook_n fruitless_a legend_n and_o prodigious_a history_n that_o be_v invent_v out_o of_o fancy_n which_o abuse_v many_o noble_a spirit_n dull_a their_o wit_n &_o alienate_v their_o thought_n from_o laudable_a and_o honourable_a study_n in_o this_o tractate_n thou_o may_v therefore_o make_v choice_n of_o such_o mathematical_a problem_n and_o conclusion_n as_o may_v delight_v thou_o which_o kind_n of_o learning_n do_v excellent_o adorn_v a_o man_n see_v the_o usefulness_n thereof_o and_o the_o manly_a accomplishment_n it_o do_v produce_v be_v profitable_a and_o delightful_a for_o all_o sort_n of_o people_n who_o may_v furnish_v and_o adorn_v themselves_o with_o abundance_n of_o matter_n in_o that_o kind_n to_o help_v they_o by_o way_n of_o use_n and_o discourse_n and_o to_o this_o we_o have_v also_o add_v our_o pyrotechnie_n know_v that_o beast_n have_v for_o their_o object_n only_o the_o surface_n of_o the_o earth_n but_o hope_v that_o thy_o spirit_n which_o follow_v the_o motion_n of_o fire_n will_v abandon_v the_o low_a element_n and_o cause_v thou_o to_o lift_v up_o thy_o eye_n to_o soar_v in_o a_o high_a contemplation_n have_v so_o glitter_v a_o canopy_n to_o behold_v and_o these_o pleasant_a and_o recreative_a fire_n ascend_v may_v cause_v thy_o affection_n also_o to_o ascend_v the_o whole_a whereof_o we_o send_v forth_o to_o thou_o that_o desire_v the_o scrutability_n of_o thing_n nature_n have_v furnish_v we_o with_o matter_n thy_o spirit_n may_v easy_o digest_v they_o and_o put_v they_o fine_o in_o order_n though_o now_o in_o disorder_n a_o table_n of_o the_o particular_a head_n of_o this_o book_n contract_v according_a to_o the_o several_a art_n specify_v in_o the_o title-page_n experiment_n of_o arithmetic_n page_n 1_o 2_o 3_o 16_o 19_o 22_o 28_o 33_o 39_o 40_o 44_o 45_o 51_o 52_o 53_o 59_o 60_o 69_o 71_o 77_o 83_o 85_o 86_o 89_o 90_o 91_o 124_o 134_o 135_o 136_o 137_o 138_o 139_o 140_o 178_o 179_o 181_o 182_o 183_o 184_o 185_o 188_o 208_o 210_o 213._o experiment_n ●n_a geometry_n pag._n 12_o 15_o 24_o 26_o 27_o 30_o 35_o 37_o 41_o 42_o 47_o 48_o 49_o 62_o 65_o 72_o 79_o 82_o 113_o 117_o 118_o 119_o 214_o 215_o 217_o 218_o 234_o 235_o 236_o 239_o 240._o experiment_n in_o cosmographie_n pag._n 14_o 43_o 75_o 106_o 107_o 219_o 220_o 225_o 227_o 228_o 229_o 230_o 232._o experiment_n in_o horologiographie_n pag._n 137_o 166_o 167_o 168_o 169_o 171_o 234._o experiment_n in_o astronomy_n pag._n 220_o 221_o 222_o 223_o 224._o experiment_n in_o navigation_n pag._n 105_o 233_o 234_o 237_o 238._o experiment_n in_o music_n pag._n 78_o 87_o 126._o experiment_n in_o optic_n pag._n 6_o 66_o 98_o 99_o 100_o 102_o 129_o 131_o 141_o 142_o 143_o 144_o 146_o 149_o 151_o 152_o 153_o 155_o 156_o 157_o 158_o 160_o 161_o 162_o 163_o 164_o 165._o experiment_n in_o architecture_n pag._n 16_o 242_o 243._o experiment_n in_o staticke_a pag._n 27_o 30_o 32_o 71_o 199_o 200_o 201_o 283_o 204_o 205_o 207._o experiment_n in_o machanick_n pag._n 56_o 58_o 68_o 88_o 95_o 108_o 110_o 128_o 173_o 174_o 176_o 246_o 248_o 258_o 259._o experiment_n in_o chemistry_n pag._n 198_o 255_o 256_o 257_o 260_o 262_o 263_o 264._o experiment_n in_o water-work_n pag._n 190_o 191_o 192_o 193_o 194_o 196_o 247_o 249_o 250_o 252_o 253._o experiment_n in_o firework_n from_o page_n 265._o to_o the_o end_n finis_fw-la a_o table_n of_o the_o content_n and_o chief_a point_n contain_v in_o this_o book_n problem_n ii_o how_o visible_a object_n that_o be_v without_o and_o thing_n that_o pass_v by_o be_v most_o lively_o represent_v to_o those_o that_o be_v within_o page_z 6_o prob._n 1_o of_o find_v of_o number_n conceive_v in_o the_o mind_n 1_o 2_o 3_o prob._n 5_o of_o a_o geographical_a garden-plot_n fit_a for_o a_o prince_n or_o some_o great_a personage_n 14_o prob._n 37_o any_o liquid_a substance_n as_o water_n or_o wine_n place_v in_o a_o glass_n may_v be_v make_v to_o boil_v by_o the_o motion_n of_o the_o finger_n and_o yet_o not_o touch_v it_o 54_o prob._n 3_o how_o to_o weigh_v the_o blow_n of_o one_o fist_n of_o a_o mallet_n a_o hatchet_n or_o such_o like_a 9_o prob._n 30_o two_o several_a number_n be_v take_v by_o two_o sundry_a person_n how_o subtle_o to_o discover_v which_o of_o those_o number_n each_o of_o they_o take_v 46_o prob._n 4_o that_o a_o staff_n may_v be_v break_v place_v upon_o two_o glass_n without_o hurt_v of_o the_o glass_n 12_o prob._n 7_o how_o to_o dispose_v lot_n that_o the_o 5_o 6_o 9_o etc._n etc._n of_o any_o number_n of_o person_n may_v escape_v 16_o prob._n 13_o how_o the_o weight_n of_o smoke_n of_o a_o combustible_a body_n which_o be_v exhale_v may_v be_v weigh_v 27_o prob._n 12_o of_o three_o knife_n which_o may_v be_v so_o dispose_v to_o hang_v in_o the_o air_n and_o move_v upon_o the_o point_n of_o a_o needle_n 27_o prob._n 17_o of_o a_o deceitful_a bowl_n to_o bowl_n withal_o 32_o prob._n 16_o a_o ponderous_a or_o heavy_a body_n may_v be_v support_v in_o the_o air_n without_o any_o one_o touch_v it_o 30_o prob._n 18_o how_o a_o pear_n or_o apple_n may_v be_v part_v into_o any_o part_n without_o break_v the_o rind_n thereof_o 33_o prob._n 15_o of_o a_o fine_a kind_n of_o door_n which_o open_v and_o shut_v on_o both_o side_n 30_o prob._n 9_o how_o the_o half_a of_o a_o vessel_n which_o contain_v 8_o measure_n may_v be_v take_v be_v but_o only_o two_o other_o measure_n the_o one_o be_v 3_o and_o the_o other_o 8_o measure_n 22_o prob._n 8_o three_o person_n have_v take_v each_o of_o they_o several_a thing_n to_o find_v which_o each_o of_o they_o have_v take_v 19_o prob._n 6_o how_o to_o dispose_v three_o staff_n which_o may_v support_v each_o other_o in_o the_o air_n 15_o prob._n 14_o many_o thing_n be_v dispose_v circular_a or_o otherwise_o to_o find_v which_o of_o they_o any_o one_o think_v upon_o 28_o prob._n 19_o to_o find_v a_o number_n think_v upon_o without_o ask_v question_n 33_o prob._n 11_o how_o a_o millstone_n or_o other_o ponderosity_n may_v hang_v upon_o the_o point_n of_o a_o needle_n without_o bow_v or_o any_o wise_a break_n of_o it_o 26_o prob._n 20_o and_o 21_o how_o a_o body_n that_o be_v uniform_a and_o inflexible_a may_v pass_v through_o a_o hole_n which_o be_v round_o square_a and_o triangular_a or_o round_o square_a and_o ovall-wise_a and_o exact_o fill_v those_o several_a hole_n 35_o 37_o prob._n 10_o how_o a_o stick_n may_v stand_v upon_o one_o finger_n or_o a_o pike_n in_o the_o middle_n of_o a_o court_n without_o fall_v 24_o prob._n 22_o to_o find_v a_o number_n think_v upon_o after_o another_o manner_n than_o those_o which_o be_v former_o deliver_v 39_o prob._n 23_o to_o find_v out_o many_o number_n that_o sundry_a person_n or_o any_o one_o have_v think_v upon_o 40_o prob._n 24_o how_o be_v it_o that_o a_o man_n in_o one_o &_o the_o same_o time_n may_v have_v his_o head_n upward_o and_o his_o foot_n upward_o be_v in_o one_o and_o the_o same_o place_n 4●_n prob._n 25_o of_o a_o ladder_n by_o which_o two_o man_n ascend_v at_o one_o time_n the_o more_o they_o ascend_v the_o more_o they_o shall_v be_v asunder_o notwith_o stand_v the_o one_o be_v as_o high_a as_o the_o other_o 42_o prob._n 26_o how_o be_v it_o that_o a_o man_n have_v but_o a_o rod_n or_o pole_n of_o land_n do_v brag_v that_o he_o may_v in_o a_o right_a line_n pass_v from_o place_n to_o place_v 3000_o mile_n 42_o prob._n 27_o how_o be_v it_o that_o a_o man_n stand_v upright_o and_o look_v which_o way_n he_o will_v he_o look_v true_a north_n or_o south_n 43_o prob._n 28_o to_o tell_v any_o one_o what_o number_n remain_v after_o certain_a operation_n be_v end_v without_o ask_v any_o question_n 44_o prob._n 29_o of_o the_o play_n with_o two_o several_a thing_n 45_o prob._n 31_o how_o to_o describe_v a_o circle_n that_o shall_v touch_v 3_o point_n place_v howsoever_o upon_o a_o plain_a if_o they_o be_v not_o in_o a_o right_a line_n 47_o prob._n 32_o how_o to_o change_v a_o circle_n into_o a_o square_a form_n 48_o prob._n 33_o with_o one_o and_o the_o same_o compass_n and_o at_o one_o and_o the_o same_o extent_n or_o open_n how_o to_o describe_v many_o circle_n concentricall_a that_o be_v great_a or_o lesser_a one_o than_o another_o 49_o prob._n 34_o any_o number_n under_o 10._o be_v think_v upon_o to_o find_v what_o number_n they_o be_v 51_o prob_n 35_o of_o the_o play_n with_o the_o ring_n 52_o prob._n 36_o the_o play_n of_o 3_o 4_o or_o more_o dice_n 53_o prob._n 38_o of_o a_o fine_a vessel_n which_o hold_v wine_n or_o water_n be_v cast_v into_o it_o at_o a_o certain_a height_n but_o be_v fill_v high_a it_o will_v run_v all_o out_o of_o its_o own_o

how_o to_o place_v those_o 6_o man_n that_o be_v to_o be_v punish_v and_o so_o of_o other_o it_o be_v suppose_v that_o josephus_n the_o author_n of_o the_o jewish_a history_n escape_v the_o danger_n of_o death_n by_o help_n of_o this_o problem_n for_o a_o worthy_a author_n of_o belief_n report_v in_o his_o eight_o chapter_n of_o the_o three_o book_n of_o the_o destruction_n of_o jerusalem_n that_o the_o town_n of_o jotapata_n be_v take_v by_o main_a force_n by_o vespasian_n josephus_n be_v governor_n of_o that_o town_n accompany_v with_o a_o troop_n of_o forty_o soldier_n hide_v themselves_o in_o a_o cave_n in_o which_o they_o resolve_v rather_o to_o famish_v than_o to_o fall_v into_o the_o hand_n of_o vespasian_n and_o with_o a_o bloody_a resolution_n in_o that_o great_a distress_n will_v have_v butcher_v one_o another_o for_o sustenance_n have_v not_o josephus_n persuade_v they_o to_o die_v by_o lot_n and_o order_n upon_o which_o it_o shall_v fall_v now_o see_v that_o josephus_n do_v save_v himself_o by_o this_o art_n it_o be_v think_v that_o his_o industry_n be_v exercise_v by_o the_o help_n of_o this_o problem_n so_o that_o of_o the_o 40_o person_n which_o he_o have_v the_o three_o be_v always_o kill_v now_o by_o put_v himself_o in_o the_o 16_o or_o 31_o place_n he_o be_v save_v and_o one_o with_o he_o which_o he_o may_v kill_v or_o easy_o persuade_v to_o yield_v unto_o the_o roman_n problem_n viii_o three_o thing_n and_o three_o person_n propose_v to_o find_v which_o of_o they_o have_v either_o of_o these_o three_o thing_n let_v the_o three_o thing_n be_v a_o ring_n a_o piece_n of_o gold_n and_o a_o piece_n of_o silver_n or_o any_o other_o such_o like_a and_o let_v they_o be_v know_v private_o to_o yourself_o by_o these_o three_o vowel_n a_o e_o i_o or_o let_v there_o be_v three_o person_n that_o have_v different_a name_n as_o ambrose_n edmond_n and_o john_n which_o private_o you_o may_v note_v or_o account_v to_o yourself_o once_o know_v by_o the_o aforesaid_a vowel_n which_o signify_v for_o the_o first_o vowel_n 1_o for_o the_o second_o vowel_n 2_o for_o the_o three_o vowel_n 3_o now_o if_o the_o say_v three_o person_n shall_v by_o the_o mutual_a consent_n of_o each_o other_o private_o change_v their_o name_n it_o be_v most_o facile_a by_o the_o course_n and_o excellency_n of_o number_n distinct_o to_o declare_v each_o one_o name_n so_o interchange_v or_o if_o three_o person_n in_o private_a the_o one_o shall_v take_v a_o ring_n the_o other_o a_o piece_n of_o gold_n and_o the_o three_o shall_v take_v a_o piece_n of_o silver_n it_o be_v easy_a to_o find_v which_o have_v the_o gold_n the_o silver_n or_o the_o ring_n and_o it_o be_v thus_o do_v take_v 30_o or_o 40_o counter_n of_o which_o there_o be_v but_o 24_o necessary_a that_o so_o you_o may_v conceal_v the_o way_n the_o better_a and_o lay_v they_o down_o before_o the_o party_n and_o as_o they_o sit_v or_o stand_v give_v to_o the_o first_o 1._o counter_a which_o signify_v a_o the_o first_o vowel_n to_o the_o second_o 2._o counter_n which_o represent_v e_fw-la the_o second_o vowel_n and_o to_o the_o three_o 3._o counter_n which_o stand_v for_o ay_o the_o three_o vowel_n then_o leave_v the_o other_o counter_n upon_o the_o table_n retire_v apart_o and_o bid_v he_o which_o have_v the_o ring_n take_v as_o many_o counter_n as_o you_o give_v he_o and_o he_o that_o have_v the_o gold_n for_o every_o one_o that_o you_o give_v he_o let_v he_o take_v 2_o and_o he_o that_o have_v the_o silver_n for_o every_o one_o that_o you_o give_v he_o let_v he_o take_v 4._o this_o be_v do_v consider_v to_o who_o you_o give_v one_o counter_n to_o who_o two_o and_o to_o who_o three_o and_o mark_v what_o number_n of_o counter_n you_o have_v at_o the_o first_o for_o there_o be_v necessary_o but_o 24._o as_o be_v say_v before_o the_o surpluse_n you_o may_v private_o reject_v and_o then_o there_o will_v be_v leave_v either_o 1.2.3.5.6_o or_o 7._o and_o no_o other_o number_n can_v remain_v which_o if_o there_o be_v than_o they_o have_v fail_v in_o take_v according_a to_o the_o direction_n deliver_v but_o if_o either_o of_o these_o number_n do_v remain_v the_o resolution_n will_v be_v discover_v by_o one_o of_o these_o 6_o word_n follow_v which_o ought_v to_o be_v have_v in_o memory_n viz._n salve_fw-la certa_fw-la anima_fw-la semita_fw-la vita_fw-la quies·_n 1._o 2._o 3._o 5._o 6._o 7._o as_o suppose_v 5._o do_v remain_v the_o word_n belong_v unto_o it_o be_v semita_fw-la the_o vowel_n in_o the_o first_o two_o syllable_n be_v e_o and_o i_o which_o show_v according_a to_o the_o former_a direction_n that_o to_o who_o you_o give_v 2_o counter_n he_o have_v the_o ring_n see_v it_o be_v the_o second_o vowel_v represent_v by_o two_o as_o before_o and_o to_o who_o you_o give_v the_o 3._o counter_n he_o have_v the_o gold_n for_o that_o i_o represent_v the_o three_o vowel_n or_o 3._o in_o the_o former_a direction_n and_o to_o who_o you_o give_v one_o counter_n he_o have_v the_o silver_n and_o so_o of_o the_o rest_n the_o variety_n of_o change_n in_o which_o exercise_n be_v lay_v open_a in_o the_o table_n follow_a rest_v man_n hide_v rest_n man_n hide_v 1_o 1_o a_o 5_o 1_o  _fw-fr 2_o e_z 2_o  _fw-fr 3_o i_z 3_o  _fw-fr 2_o 1_o e_z 6_o 1_o  _fw-fr 2_o a_o 2_o  _fw-fr 3_o i_z 3_o  _fw-fr 3_o 1_o a_o 7_o 1_o  _fw-fr 2_o i_z 2_o  _fw-fr 3_o e_z 3_o  _fw-fr this_o feat_n may_v be_v do_v also_o without_o the_o former_a word_n by_o help_n of_o the_o circle_n a._n for_o have_v divide_v the_o circle_n into_o 6_o part_n write_v 1._o within_o and_o 1._o without_o 2._o within_o and_o 5._o without_o etc._n etc._n the_o first_o 1.2.3_o which_o be_v within_o with_o the_o number_n over_o they_o belong_v to_o the_o upper_a semicircle_n the_o other_o number_n both_o within_o and_o without_o to_o the_o under_o semicircle_n now_o if_o in_o the_o action_n there_o remain_v such_o a_o number_n which_o may_v be_v find_v in_o the_o upper_a semicircle_n without_o then_o that_o which_o be_v opposite_a within_o show_v the_o first_o the_o next_o be_v the_o second_o etc._n etc._n as_o if_o 5_o remains_z it_o show_v to_o who_o he_o give_v 2_o he_o have_v the_o ring_n to_o who_o you_o give_v ●_o he_o have_v the_o gold_n etc._n etc._n but_o if_o the_o remainder_n be_v in_o the_o under_o semicircle_n that_o which_o be_v opposite_a to_o it_o be_v the_o first_o the_o next_o backward_o towards_o the_o right_a hand_n be_v the_o second_o as_o if_o 3_o remains_z to_o who_o you_o give_v 1_v he_o have_v the_o ring_n he_o that_o have_v 3_o he_o have_v the_o gold_n etc._n etc._n problem_n ix_o how_o to_o part_v a_o vessel_n which_o be_v full_a of_o wine_n contain_v eight_o pint_n into_o two_o equal_a part_n by_o two_o other_o vessel_n which_o contain_v as_o much_o as_o the_o great_a vessel_n as_o the_o one_o be_v 5_o pint_n and_o the_o other_o 3_o pint_n let_v the_o three_o vessel_n be_v represent_v by_o abc_n a_o be_v full_a the_o other_o two_o be_v empty_a first_o pour_v out_o a_o into_o b_o until_o it_o be_v full_a so_o there_o will_v be_v in_o b_o 5_o pint_n and_o in_o a_o but_o 3_o pint_n then_o pour_v out_o of_o b_o into_z c_z until_o it_o be_v full_a so_o in_o c_z shall_v be_v 3_o pint_n in_o b_o 2_o pint_n and_o in_o a_o 3_o pint_n then_o pour_v the_o wine_n which_o be_v in_o c_o into_o a_o so_o in_o a_o will_v be_v 6_o pint_n in_o b_o 2_o pint_n and_o in_o c_o nothing_o then_o pour_v out_o the_o wine_n which_o be_v in_o b_o into_o the_o pot_n c_o so_o in_o c_o there_o be_v now_o 2_o pint_n in_o b_o nothing_o and_o in_o a_o 6_o pint_n last_o pour_v out_o of_o a_o into_o b_o until_o it_o be_v full_a so_o there_o will_v be_v now_o in_o a_o only_a 1_o pint_n in_o b_o 5_o pint_n and_o in_o c_o 2_o pint_n but_o it_o be_v now_o evident_a that_o if_o from_o b_o you_o pour_v in_o unto_o the_o pot_n c_o until_o it_o be_v full_a there_o will_v remain_v in_o b_o 4_o pint_n and_o if_o that_o which_o be_v in_o c_o viz._n 3_o pint_n be_v pour_v into_o the_o vessel_n a_o which_o before_o have_v 1_o pint_n there_o shall_v be_v in_o the_o vessel_n a_o but_o half_o of_o its_o liquor_n that_o be_v in_o it_o at_o the_o first_o viz._n 4_o pint_n as_o be_v require_v otherwise_o pour_v out_o of_o a_o into_o c_o until_o it_o be_v full_a which_o pour_v into_o b_o then_o pour_v out_o of_o a_o into_o c_o again_z until_o it_o be_v full_a so_o there_o be_v now_o in_o a_o only_a 2_o pint_n in_o b_o 3_o and_o in_o c_o 3_o then_o pour_v from_o c_o into_o b_o until_o it_o be_v

piece_n to_o keep_v the_o same_o proportion_n as_o the_o body_n to_o his_o part_n so_o that_o by_o the_o greatness_n of_o the_o work_n and_o proportionable_a symmetry_n some_o dare_v assure_v themselves_o that_o by_o knowledge_n of_o one_o only_a part_n of_o that_o building_n one_o may_v know_v all_o the_o measure_n of_o that_o goodly_a structure_n some_o architect_n say_v that_o the_o foundation_n of_o house_n and_o basis_n of_o column_n be_v as_o the_o foot_n the_o top_n and_o roof_n as_o the_o head_n the_o rest_n as_o the_o body_n those_o which_o have_v be_v somewhat_o more_o curious_a have_v note_v that_o as_o in_o humane_a body_n the_o part_n be_v uniform_a as_o the_o nose_n the_o mouth_n etc._n etc._n these_o which_o be_v double_a be_v put_v on_o one_o side_n or_o other_o with_o a_o perfect_a equality_n in_o the_o same_o architecture_n in_o like_a manner_n some_o have_v be_v yet_o more_o curious_a than_o solid_a compare_v all_o the_o ornament_n of_o a_o corinth_n to_o the_o part_n of_o the_o face_n as_o the_o brow_n the_o eye_n the_o nose_n the_o mouth_n the_o round_v of_o pillar_n to_o the_o writhe_n of_o hair_n the_o channel_n of_o column_n to_o the_o fold_n of_o woman_n robe_n etc._n etc._n now_o building_n be_v a_o work_n of_o the_o best_a artist_n there_o be_v much_o reason_n why_o man_n ought_v to_o make_v his_o imitation_n from_o the_o chief_a work_n of_o nature_n which_o be_v man_n hence_o it_o be_v that_o vitru●ius_n in_o his_o three_o book_n and_o all_o the_o best_a architecte_n treat_v of_o the_o proportion_n of_o man_n among_o other_o albert_n durens_n have_v make_v a_o whole_a book_n of_o the_o measure_n of_o man_n body_n from_o the_o foot_n to_o the_o head_n let_v they_o read_v it_o who_o will_v they_o may_v have_v a_o perfect_a knowledge_n thereof_o but_o i_o will_v content_v myself_o and_o it_o may_v satisfy_v some_o with_o that_o which_o follow_v first_o the_o length_n of_o a_o man_n well_o make_v which_o common_o be_v call_v height_n 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five_o the_o thickness_n of_o the_o body_n take_v from_o the_o belly_n to_o the_o back_n the_o one_o or_o the_o other_o be_v the_o ten_o part_n of_o the_o whole_a body_n or_o as_o some_o will_v have_v it_o the_o nine_o part_n little_o less_o six_o the_o height_n of_o the_o brow_n the_o length_n of_o the_o nose_n the_o space_n between_o the_o nose_n and_o the_o chin_n the_o length_n of_o the_o ear_n the_o greatness_n of_o the_o thumb_n be_v perfect_o equal_v one_o to_o the_o other_o what_o will_v you_o say_v to_o make_v a_o admirable_a report_n of_o the_o other_o part_n if_o i_o shall_v reckon_v they_o in_o their_o least_o but_o in_o that_o i_o desire_v to_o be_v excuse_v and_o will_v rather_o extract_v some_o conclusion_n upon_o that_o which_o be_v deliver_v in_o the_o first_o place_n know_v the_o proportion_n of_o a_o man_n it_o be_v easy_a to_o painter_n image-maker_n etc._n etc._n perfect_o to_o proportionate_a their_o work_n and_o by_o the_o same_o be_v make_v most_o evident_a that_o which_o be_v relate_v of_o the_o image_n and_o statue_n of_o greece_n that_o upon_o a_o day_n diverse_a workman_n have_v enterprise_v to_o make_v the_o face_n of_o a_o man_n be_v sever_v one_o from_o another_o in_o sundry_a place_n all_o the_o part_n be_v make_v and_o put_v together_o the_o face_n be_v find_v in_o a_o most_o lively_a and_o true_a proportion_n second_o it_o be_v a_o thing_n most_o clear_a that_o by_o the_o help_n of_o proportion_n the_o body_n of_o hercules_n be_v measure_v by_o the_o knowledge_n of_o his_o foot_n only_o a_o lion_n by_o his_o claw_n the_o giant_n by_o his_o thumb_n and_o a_o man_n by_o any_o part_n of_o his_o body_n for_o so_o it_o be_v that_o pythagoras_n have_v measure_v the_o length_n of_o hercules_n foot_n by_o the_o step_n which_o be_v leave_v upon_o the_o ground_n find_v out_o all_o his_o height_n and_o so_o it_o be_v that_o phidias_n have_v only_o the_o claw_n of_o a_o lion_n do_v figure_n and_o draw_v out_o all_o the_o beast_n according_a to_o his_o true_a type_n or_o form_n so_o the_o exquisite_a painter_n timantes_n have_v paint_v a_o pygmy_n or_o dwarf_n which_o he_o measure_v with_o a_o fathom_n make_v with_o the_o inch_n of_o a_o giant_n it_o be_v sufficient_a to_o know_v the_o greatness_n of_o that_o giant_n to_o be_v short_a we_o may_v by_o like_a method_n come_v easy_o to_o the_o knowledge_n of_o many_o fine_a antiquity_n touch_v statue_n colossus_n and_o monstrous_a giant_n only_o suppose_v one_o have_v find_v but_o one_o only_a part_n of_o they_o as_o the_o head_n the_o hand_n the_o foot_n or_o some_o bone_n mention_v in_o ancient_a history_n of_o statue_n of_o colossus_n or_o huge_a image_n vitruvius_n relate_v in_o his_o second_o book_n that_o the_o architect_n dinocrates_n be_v desirous_a to_o put_v out_o to_o the_o world_n some_o notable_a thing_n go_v to_o alexander_n the_o great_a and_o propose_v unto_o he_o a_o high_a and_o special_a piece_n of_o work_n which_o he_o have_v project_v as_o to_o figure_v out_o the_o mount_n athos_n in_o form_n of_o a_o great_a statue_n which_o shall_v hold_v in_o his_o right_a hand_n a_o town_n capable_a to_o receive_v ten_o thousand_o man_n and_o in_o his_o left_a hand_n a_o vessel_n to_o receive_v all_o the_o water_n that_o flow_v from_o the_o mountain_n which_o with_o a_o engine_n shall_v cast_v into_o the_o sea_n this_o be_v a_o pretty_a project_n say_v alexander_n but_o because_o there_o be_v not_o field-roome_n thereabouts_o to_o nourish_v and_o retain_v the_o citizen_n of_o that_o place_n alexander_n be_v wise_a not_o to_o entertain_v the_o design_n now_o let_v it_o be_v require_v of_o what_o greatness_n this_o statue_n may_v have_v be_v the_o town_n in_o his_o right_a hand_n and_o the_o receiver_n of_o water_n in_o his_o left_a hand_n if_o it_o have_v be_v make_v for_o the_o statue_n it_o can_v not_o be_v high_o than_o the_o mountain_n itself_o and_o the_o mountain_n be_v about_o a_o mile_n in_o height_n plumb_n or_o perpendicular_a therefore_o the_o hand_n of_o this_o statue_n ought_v to_o be_v the_o 10_o part_n of_o his_o height_n which_o will_v be_v 500_o foot_n and_o so_o the_o breadth_n of_o his_o hand_n will_v be_v 250_o foot_n the_o length_n now_o multiply_v by_o the_o breadth_n make_v a_o hundred_o twenty_o five_o thousand_o square_a foot_n for_o the_o quantity_n of_o his_o hand_n to_o make_v the_o town_n in_o to_o lodge_v the_o say_v 10_o thousand_o man_n allow_v to_o each_o man_n near_o about_o 12_o foot_n of_o square_a ground_n now_o judge_v the_o capacity_n of_o the_o other_o part_n of_o this_o colossus_n by_o that_o which_o be_v already_o deliver_v second_o pliny_n in_o his_o 34_o book_n of_o his_o natural_a history_n speak_v of_o the_o famous_a colossus_n that_o be_v at_o rhodes_n between_o who_o leg_n a_o ship_n may_v pass_v with_o his_o sail_n open_a or_o display_v the_o statue_n be_v of_o 70_o cubit_n high_a and_o other_o history_n report_v that_o the_o saracen_n have_v break_v it_o do_v load_v 900_o camel_n with_o the_o metal_n of_o it_o now_o what_o may_v be_v the_o greatness_n and_o weight_n of_o this_o statue_n for_o answer_v it_o be_v usual_o allow_v for_o a_o camel_n burden_n 1200_o pound_n weight_n therefore_o all_o the_o collosus_fw-la do_v weigh_v 1080000_o pound_n weight_n which_o be_v ten_o hundred_o and_o fourscore_o thousand_o pound_n weight_n now_o according_a to_o the_o former_a rule_n the_o head_n be_v the_o ten_o part_n of_o the_o body_n this_o statue_n head_n shall_v be_v of_o 7_o cubit_n that_o be_v to_o say_v 10_o foot_n and_o a_o half_a and_o see_v that_o the_o nose_n the_o brow_n and_o the_o thumb_n be_v the_o three_o part_n of_o the_o face_n his_o nose_n