Selected quad for the lemma: book_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
book_n	find_v	great_a	time_n	2,975	5	3.1999	3	true

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 of_o other_o giant_n of_o 9_o 10_o and_o 12_o foot_n of_o height_n and_o it_o have_v be_v see_v in_o our_o time_n some_o which_o have_v have_v such_o height_n as_o these_o problem_n lxxi_o of_o the_o game_n at_o the_o palm_n at_o trap_n at_o bowl_n paile-maile_n and_o other_o the_o mathematics_n often_o find_v place_n in_o sundry_a game_n to_o aid_n and_o assist_v the_o gamester_n though_o not_o unknown_a unto_o they_o hence_o by_o mathematical_a principle_n the_o game_n at_o tennis_n may_v be_v assist_v for_o all_o the_o move_n in_o it_o be_v by_o right_a line_n and_o reflection_n from_o whence_o come_v it_o that_o from_o the_o appearance_n of_o flat_a or_o convex_a glass_n the_o production_n and_o reflection_n of_o the_o species_n be_v explain_v be_v it_o not_o by_o right_a line_n in_o the_o same_o proportion_n one_o may_v sufficient_o deliver_v the_o motion_n of_o a_o ball_n or_o bowl_n by_o geometrical_a line_n and_o angle_n and_o the_o first_o maxim_n be_v thus_o when_o a_o bowl_n 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 recreation_n do_v delight_v the_o mind_n but_o these_o be_v best_o be_v of_o a_o learned_a kind_n here_o art_n and_o nature_n strive_v to_o give_v content_a in_o show_v many_o a_o rare_a experiment_n which_o you_o may_v read_v &_o on_o their_o scheme_n here_o look_v both_o in_o the_o frontispiece_n and_o in_o the_o book_n upon_o who_o table_n new_a conceit_n be_v set_v like_o dainty_a dish_n thereby_o for_o to_o whet_v and_o win_v your_o judgement_n with_o your_o appetite_n to_o taste_v they_o and_o therein_o to_o take_fw-mi delight_n the_o sense_n object_n be_v but_o dull_a at_o best_a but_o art_n do_v give_v the_o intellect_n a_o feast_n come_v hither_o then_o and_o here_o i_o will_v describe_v what_o this_o same_o table_n do_v for_o you_o provide_v here_o question_n of_o arithmetic_n be_v wrought_v and_o hide_a secret_n unto_o light_n be_v bring_v the_o like_o it_o in_o geometry_n do_v unfold_v and_o some_o too_o in_o cosmographie_n be_v tell_v it_o divers_a pretty_a dial_n do_v 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 only_o with_o the_o knowledge_n of_o they_o without_o seek_v the_o reason_n second_o to_o give_v a_o great_a grace_n to_o the_o practice_n of_o these_o thing_n they_o ought_v to_o be_v conceal_v as_o much_o as_o they_o may_v in_o the_o subtlety_n of_o the_o way_n for_o that_o which_o do_v ravish_v the_o spirit_n be_v a_o admirable_a effect_n who_o cause_n be_v unknown_a which_o if_o it_o be_v discover_v half_o the_o pleasure_n be_v l●st_o therefore_o all_o the_o fineness_n consist_v in_o the_o dexterity_n of_o the_o act_n conceal_v the_o mean_n and_o change_v often_o the_o stream_n three_o great_a care_n ought_v to_o be_v have_v that_o one_o deceive_v not_o himself_o that_o will_v declare_v by_o way_n of_o art_n to_o deceive_v another_o this_o will_v make_v the_o matter_n contemptible_a to_o ignorant_a person_n which_o will_v rather_o cast_v the_o fault_n upon_o the_o science_n than_o upon_o he_o that_o show_v it_o when_o the_o cause_n be_v not_o in_o the_o mathematical_a principle_n 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

of_o crown_n that_o two_o man_n have_v 136_o about_o the_o hour_n of_o the_o day_n 137_o of_o pythagoras_n scholar_n 137_o of_o the_o number_n of_o apple_n give_v among_o the_o grace_n and_o the_o muse_n 138_o of_o the_o testament_n or_o last_o will_n of_o a_o die_a father_n 138_o of_o the_o cup_n of_o croesus_n 139_o of_o cupid_n apple_n 139_o of_o a_o man_n age._n 140_o of_o the_o lion_n of_o bronze_n place_v upon_o a_o fountain_n with_o his_o epigram_n ibid._n prob._n 77_o in_o optic_n excellent_a experiment_n principle_n touch_v reflection_n 141_o experiment_n upon_o flat_a and_o plain_a glass_n 142_o how_o the_o image_n seem_v to_o sink_v into_o a_o plain_a glass_n and_o always_o be_v see_v perpendicular_a to_o the_o glass_n an●_n also_o inverse_v 143_o the_o thing_n which_o pass_v by_o in_o a_o street_n may_v by_o help_n of_o a_o plain_a glass_n be_v see_v in_o a_o chamber_n and_o the_o height_n of_o a_o tower_n or_o tree_n observe_v 143_o how_o several_a candle_n from_o one_o candle_n be_v represent_v in_o a_o plain_a glass_n and_o glass_n alternate_o may_v be_v see_v one_o within_o another_o as_o also_o the_o backpart_n of_o the_o body_n as_o well_o as_o the_o forepart_n be_v evident_o represent_v 144_o how_o a_o image_n may_v be_v see_v to_o hang_v in_o the_o air_n by_o help_n of_o a_o glass_n and_o write_v read_v or_o easy_o understand_v 146_o experiment_n upon_o gibbous_a or_o convex_v spherical_a glass_n how_o lively_a to_o represent_v a_o whole_a city_n fortification_n or_o army_n by_o a_o gibbous_a glass_n 147_o how_o the_o image_n be_v see_v in_o concave_a glass_n 149_o how_o the_o image_n be_v transform_v by_o approach_v to_o the_o centre_n of_o the_o glass_n or_o point_n of_o concourse_n and_o of_o a_o exceed_a light_n that_o a_o concave_a glass_n give_v by_o help_n of_o a_o candle_n 151_o how_o the_o image_n as_o a_o man_n a_o sword_n or_o hand_n do_v come_v forth_o out_o of_o the_o glass_n 152_o 153_o of_o strange_a apparition_n of_o image_n in_o the_o air_n by_o help_n of_o sundry_a glass_n 152_o 154_o of_o the_o wonderful_a augmentation_n of_o the_o part_n of_o man_n body_n come_v near_o the_o point_n of_o inflammation_n or_o centre_n of_o the_o glass_n 155_o how_o writing_n may_v be_v reverberate_v from_o a_o glass_n upon_o a_o wall_n and_o read_v 156_o how_o by_o help_n of_o a_o concave_a glass_n to_o cast_v light_n into_o a_o camp_n or_o to_o give_v a_o perspective_n light_n to_o pyoneer_n in_o a_o mine_n by_o one_o candle_n only_o 156_o how_o excellent_o by_o help_n of_o a_o concave_a glass_n and_o a_o candle_n place_v in_o the_o centre_n to_o give_v light_a to_o read_v by_o 157_o of_o other_o glass_n of_o pleasure_n 158_o of_o strange_a deform_a representation_n by_o glass_n cause_v a_o man_n to_o have_v four_o eye_n two_o mouth_n two_o nose_n two_o head_n of_o glass_n which_o give_v a_o colour_n to_o the_o visage_n and_o make_v the_o face_n seem_v fair_a and_o foul_a 160_o prob._n 78_o how_o to_o show_v one_o that_o be_v suspicious_a what_o be_v in_o another_o chamber_n or_o room_n notwithstanding_o the_o interposition_n of_o that_o wall_n 160_o corolary_n 1._o to_o see_v the_o besieger_n of_o a_o place_n upon_o the_o rampa●●t_n of_o a_o fortification_n 161_o corolary_n 2._o and_o 3._o notwithstanding_o the_o interposition_n of_o wall_n and_o chamber_n by_o help_n of_o a_o glass_n thing_n may_v be_v see_v which_o pass_v by_o 162_o prob._n 79_o how_o with_o a_o musket_n to_o strike_v a_o mark_n not_o look_v towards_o it_o as_o exact_o as_o one_o aim_v at_o it_o 162_o how_o exact_o to_o shoot_v out_o of_o a_o musket_n to_o a_o place_n which_o be_v not_o see_v be_v hinder_v by_o some_o obstacle_n or_o other_o interposition_n 163_o prob._n 80_o how_o to_o make_v a_o image_n to_o be_v see_v hang_v in_o the_o air_n have_v his_o head_n downward_o 164_o prob._n 81._o how_o to_o make_v a_o company_n of_o representative_a soldier_n seem_v to_o be_v as_o a_o regiment_n or_o how_o few_o in_o number_n may_v be_v multiply_v to_o seem_v to_o be_v many_o in_o number_n 165_o corolarie_n of_o a_o excellent_a delightful_a cabinet_n make_v of_o plain_a glass_n 165_o prob._n 82_o of_o fine_a and_o pleasant_a dial_n in_o horologiographie_n of_o a_o dial_n of_o herb_n for_o a_o garden_n 166_o of_o the_o dial_n upon_o the_o finger_n and_o hand_n to_o find_v what_o of_o the_o clock_n it_o be_v 167_o of_o a_o dial_n which_o be_v about_o a_o obelisk_n at_o rome_n 168_o of_o dial_n with_a glass_n 168_o of_o a_o dial_n which_o have_v a_o glass_n in_o the_o place_n of_o the_o stile_n 169_o of_o dial_n with_a water_n which_o the_o ancient_n use●_n 171_o prob._n 83_o of_o shoot_v out_o of_o cannon_n or_o great_a artillery_n how_o to_o charge_v a_o cannon_n without_o powder_n 173_o to_o find_v how_o much_o time_n the_o bullet_n of_o a_o cannon_n spend_v in_o the_o air_n before_o it_o fall_v to_o the_o ground_n 174_o how_o it_o be_v that_o a_o cannon_n shoot_v upward_o the_o bullet_n fly_v with_o more_o violence_n than_o be_v shoot_v point_n blank_a or_o shoot_v downward_o 174_o whether_o be_v the_o discharge_n of_o a_o cannon_n so_o much_o the_o more_o violent_a by_o how_o much_o it_o have_v the_o more_o length_n 176_o prob._n 84_o of_o prodigious_a progression_n and_o multiplication_n of_o creature_n plant_n fruit_n number_n gold_z silver_z etc._n etc._n of_o grain_n of_o mustardseed_n and_o that_o one_o grain_n be_v sow_v with_o the_o increase_n thereof_o for_o 20_o year_n will_v produce_v a_o heap_n great_a than_o all_o the_o earth_n a_o hundred_o thousand_o time_n 178_o of_o pig_n and_o that_o the_o great_a turk_n with_o all_o his_o revenne_n be_v not_o able_a to_o maintain_v for_o one_o year_n a_o sow_n with_o all_o she_o increase_v for_o 12_o year_n 179_o of_o grain_n of_o corn_n and_o that_o 1_o grain_n with_o all_o its_o increase_n for_o 12_o year_n will_v amount_v to_o 244140625000000000000_o grain_n which_o exceed_v in_o value_n all_o the_o treasure_n in_o the_o world_n 183_o of_o the_o wonderful_a increase_n of_o sheep_n 182_o of_o the_o increase_n of_o codfish_n 182_o of_o the_o progressive_a multiplication_n of_o soul_n that_o from_o one_o of_o noah_n son_n from_o the_o flood_n unto_o nimrods_n monarchy_n shall_v be_v produce_v 111350_o soul_n 183_o of_o the_o increase_n of_o number_n in_o double_a proportion_n and_o that_o a_o pin_n be_v double_v as_o often_o as_o there_o be_v week_n in_o the_o year_n the_o number_n of_o pin_n that_o shall_v arise_v be_v able_a to_o load_v 45930_o ship_n of_o a_o thousand_o tun_n apiece_o which_o be_v worth_a more_o than_o ten_o hundred_o thousand_o pound_n a_o day_n 183_o 184_o of_o a_o man_n that_o gather_v apple_n stone_n or_o such_o like_a upon_o a_o condition_n 185_o of_o the_o change_n in_o bell_n in_o musical_a instrument_n transmutation_n of_o place_n in_o number_n letter_n man_n and_o such_o like_a 185_o of_o the_o wonderful_a interchange_n of_o the_o letter_n in_o the_o alphabet_n the_o exceed_a number_n of_o man_n and_o time_n to_o express_v the_o word_n that_o may_v be_v make_v with_o these_o letter_n and_o the_o number_n of_o book_n to_o comprehend_v they_o 187_o 188_o of_o a_o servant_n hire_v upon_o certain_a condition_n that_o he_o may_v have_v land_n lend_v he_o to_o sow_v one_o grain_n of_o corn_n with_o its_o increase_n for_o 8_o year_n time_n which_o amount_v to_o more_o than_o four_o hundred_o thousand_o acre_n of_o land_n 188_o prob._n 85_o of_o fountain_n hydriatiques_n stepticks_n machineck_n and_o other_o experiment_n upon_o water_n or_o other_o liquor_n first_o how_o water_n at_o the_o foot_n of_o a_o mountain_n may_v be_v make_v to_o ascend_v to_o the_o top_n of_o it_o and_o so_o to_o descend_v on_o the_o other_o side_n of_o it_o 190_o second_o to_o find_v how_o much_o liquor_n be_v in_o a_o vessel_n only_o by_o use_v the_o tap-hole_n 191_o three_o how_o be_v it_o that_o a_o vessel_n be_v say_v to_o hold_v more_o water_n at_o the_o foot_n of_o a_o mountain_n then_o at_o the_o top_n of_o it_o 191_o 4_o how_o to_o conduct_v water_n from_o the_o top_n of_o one_o mountain_n to_o the_o top_n of_o another_o 192_o 5_o of_o a_o fine_a fountain_n which_o spout_v water_n very_o high_a and_o with_o great_a violence_n by_o turn_v of_o a_o cock_n 193_o 6_o of_o archimedes_n screw_v which_o make_v water_n ascend_v by_o descend_v 194_o 7_o of_o a_o fine_a fountain_n of_o pleasure_n 196_o 8_o of_o a_o fine_a water_a pot_n for_o garden_n 197_o 9_o how_o easy_o to_o take_v wine_n out_o of_o a_o vessel_n at_o the_o bung_a hole_n without_o pierce_v a_o hole_n in_o the_o vessel_n 198_o 10_o how_o to_o measure_v irregular_a body_n by_o help_n of_o

pocket_n by_o which_o he_o may_v mount_v a_o wall_n or_o tower_n alone_o 248_o prob._n 112_o of_o a_o marvellous_a pump_n which_o draw_v up_o great_a quantity_n of_o water_n 249_o prob._n 113_o how_o natural_o to_o cause_v water_n to_o ascend_v out_o of_o a_o pit_n 250_o prob._n 114_o how_o to_o cast_a water_n out_o of_o a_o fountain_n very_o high_a 252_o prob._n 115_o how_o to_o empty_a the_o water_n of_o a_o pit_n by_o help_n of_o a_o cistern_n 253_o prob._n 116_o how_o to_o spout_n out_o water_n very_o high_a 253_o prob._n 117_o how_o to_o re-animate_a simple_n though_o bring_v a_o thousand_o mile_n 255_o prob._n 118_o how_o to_o make_v a_o perpetual_a motion_n 255_o prob._n 119_o of_o the_o admirable_a invention_n of_o make_v the_o philosopher_n tree_n which_o one_o may_v see_v to_o grow_v by_o little_a and_o little_a 256_o prob._n 120_o how_o to_o make_v the_o representation_n of_o the_o great_a world_n 257_o prob._n 121_o of_o a_o cone_n or_o pyramidal_a figure_n that_o move_v upon_o a_o table_n 258_o prob._n 122_o how_o a_o anvil_n may_v be_v cleaved_a by_o the_o blow_n of_o a_o pistol_n 258_o prob._n 123_o how_o a_o capon_n may_v be_v roast_v in_o a_o man_n travel_n at_o his_o sa●●le-bowe_n 259_o prob._n 124_o how_o a_o candle_n may_v be_v make_v to_o burn_v three_o time_n long_o than_o usual_o it_o do_v 259_o prob._n 125_o how_o to_o draw_v wine_n out_o of_o water_n 260_o prob._n 126_o of_o two_o marmouzet_n the_o one_o of_o which_o light_v a_o candle_n and_o the_o other_o blow_v it_o out_o 261_o prob._n 127_o how_o to_o make_v wine_n fresh_a without_o ice_n or_o snow_n in_o the_o height_n of_o summer_n 262_o prob._n 128_o to_o make_v a_o cement_n which_o last_v as_o marble_n resist_v air_n and_o water_n 262_o prob._n 129_o how_o to_o melt_v metal_n upon_o a_o shell_n with_o little_a fire_n 263_o prob._n 130_o of_o the_o harden_v of_o iron_n and_o steel_n 263_o prob._n 131_o to_o preserve_v fire_n as_o long_o as_o you_o will_v imitate_v the_o inextinguible_n fire_n of_o the_o vestales_fw-la 264_o finis_fw-la ad_fw-la authorem_fw-la d.d._n henricum_fw-la van_fw-mi etenium_fw-la alumnum_fw-la academiae_fw-la ponta_fw-la mousson_n ardua_fw-la walkeri_fw-la sileant_fw-la secreta_fw-la profundi_fw-la desinat_fw-la occultam_fw-la carpere_fw-la porta_n viam_fw-la itala_n cardani_n mirata_fw-la est_fw-la lampada_fw-la docti_fw-la terra_fw-la syracusium_fw-la graecia_n tota_fw-la senem_fw-la orbi_fw-la terrarum_fw-la ptolemaei_fw-la clepsydra_n toti_fw-la rara_fw-la dioptra_fw-la procli_n mira_fw-la fuêre_fw-la duo_fw-la anglia_fw-it te_fw-la foveat_fw-la doctus_fw-la pont-mousson_a alumnum_fw-la quidquid_fw-la naturae_fw-la qui_fw-la legis_fw-la hortus_fw-la habet_fw-la docta_fw-la coronet_n opus_fw-la doctum_fw-la te_fw-la sit_fw-la tua_fw-la docto_fw-la digna_fw-la syracusii_n arca_fw-la corona_fw-la viri_fw-la arca_n syracusiis_fw-la utinam_fw-la sit_fw-la plumbea_fw-la seruis_fw-la aurea_fw-la sed_fw-la dominis_fw-la aurea_fw-la tota_fw-la suis._n mathematical_a recreation_n problem_n i._o to_o find_v a_o number_n think_v upon_o bid_v he_o that_o he_o quadruple_a the_o number_n think_v upon_o that_o be_v multiply_v it_o by_o 4_o and_o unto_o it_o bid_v he_o to_o add_v 6_o 8_o 10_o or_o any_o number_n at_o pleasure_n and_o let_v he_o take_v the_o half_a of_o the_o sum_n then_o ask_v how_o much_o it_o come_v to_o for_o than_o if_o you_o take_v away_o half_a the_o number_n from_o it_o which_o you_o will_v he_o at_o first_o to_o add_v to_o it_o there_o shall_v remain_v the_o double_a of_o the_o number_n think_v upon_o example_n the_o number_n think_v upon_o 5_o the_o quadruple_a of_o it_o 20_o put_v 8_o unto_o it_o make_v 28_o the_o half_a of_o it_o be_v 14_o take_v away_o half_a the_o number_n add_v from_o it_o viz_o 4_o the_o rest_n be_v 10_o the_o double_a of_o the_o number_n think_v upon_o viz._n 10_o another_o way_n to_o find_v what_o number_n be_v think_v upon_o bid_v he_o which_o think_v double_a his_o number_n and_o unto_o that_o double_a add_v 4_o and_o bid_v he_o multiply_v that_o same_o product_n by_o 5_o and_o unto_o that_o product_n bid_v he_o add_v 12_o and_o multiply_v that_o last_o number_n by_o 10_o which_o be_v do_v easy_o by_o set_v a_o cypher_n at_o the_o end_n of_o the_o number_n then_o ask_v he_o the_o last_o number_n or_o product_v and_o from_o it_o secret_o subtract_v 320_o the_o remainder_n in_o the_o hundred_o place_n be_v the_o number_n think_v upon_o example_n the_o number_n think_v upon_o 7_o for_o which_o 700_o account_n only_o but_o the_o number_n of_o the_o hundred_o viz._n 7._o so_o have_v you_o the_o number_n think_v upon_o his_o double_a 14_o for_o which_o 700_o account_n only_o but_o the_o number_n of_o the_o hundred_o viz._n 7._o so_o have_v you_o the_o number_n think_v upon_o to_o it_o add_v 4_o make_v 18_o for_o which_o 700_o account_n only_o but_o the_o number_n of_o the_o hundred_o viz._n 7._o so_o have_v you_o the_o number_n think_v upon_o which_o multiply_v by_o 5_o make_v 90_o for_o which_o 700_o account_n only_o but_o the_o number_n of_o the_o hundred_o viz._n 7._o so_o have_v you_o the_o number_n think_v upon_o to_o which_o add_v 12_o make_v 102_o for_o which_o 700_o account_n only_o but_o the_o number_n of_o the_o hundred_o viz._n 7._o so_o have_v you_o the_o number_n think_v upon_o this_o multiply_v by_o 10_o which_o be_v only_o by_o add_v a_o cypher_n to_o it_o make_v 1020_o for_o which_o 700_o account_n only_o but_o the_o number_n of_o the_o hundred_o viz._n 7._o so_o have_v you_o the_o number_n think_v upon_o from_o this_o subtract_v 320_o for_o which_o 700_o account_n only_o but_o the_o number_n of_o the_o hundred_o viz._n 7._o so_o have_v you_o the_o number_n think_v upon_o rest_v 700_o for_o which_o 700_o account_n only_o but_o the_o number_n of_o the_o hundred_o viz._n 7._o so_o have_v you_o the_o number_n think_v upon_o to_o find_v number_n conceive_v upon_o otherwise_o than_o the_o former_a bid_v the_o party_n which_o think_v the_o number_n that_o he_o triple_a his_o thought_n and_o cause_v he_o to_o take_v the_o half_a of_o it_o if_o it_o be_v odd_a take_v the_o least_o half_a and_o put_v one_o unto_o it_o then_o will_v he_o to_o treble_v the_o half_a and_o take_v half_a of_o it_o as_o before_o last_o ask_v he_o how_o many_o nine_o there_o be_v in_o the_o last_o half_n and_o for_o every_o nine_o account_v four_o in_o your_o memory_n for_o that_o shall_v show_v the_o number_n think_v upon_o if_o both_o the_o triple_n be_v even_o but_o if_o it_o be_v odd_a at_o the_o first_o triple_a and_o eu●n_o at_o the_o second_o for_o the_o one_o add_v unto_o the_o least_o half_o keep_v one_o in_o memory_n if_o the_o first_o triple_a be_v even_o and_o the_o second_o odd_a for_o the_o one_o add_v unto_o the_o least_o half_o keep_v two_o in_o memory_n last_o if_o at_o both_o time_n in_o tripling_n the_o number_n be_v odd_a for_o the_o two_o add_v unto_o the_o least_o half_n keep_v three_o in_o 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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 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