Selected quad for the lemma: hand_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
hand_n finger_n left_a thumb_n 6,489 5 13.9391 5 false
View all documents for the selected quad

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

There are 4 snippets containing the selected quad. | View original text

because_o the_o mark_n c_o be_v see_v at_o d_o move_z the_o musket_n to_o and_o fro_o until_o it_o do_v agree_v with_o the_o line_n of_o reflection_n mb_n which_o suppose_v at_o li_n so_o shall_v it_o be_v true_o place_v and_o give_v fire_n to_o the_o musket_n it_o shall_v not_o fail_v to_o strike_v the_o say_a mark_n at_o c._n problem_n lxxx_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 take_v two_o glass_n and_o place_v they_o at_o right_a angle_n one_o unto_o the_o other_o as_o admit_v ab_fw-la and_o cb_n of_o which_o admit_v cb_n ho●izontall_a and_o let_v the_o eye_n be_v at_o h_n and_o the_o object_n or_o image_n to_o be_v de_fw-fr so_o d_o will_v be_v reflect_v at_o f_o so_o to_o n_o so_o to_o he_o then_o at_o g_z so_o to_o ●_o and_o then_o to_o h_n and_o by_o a_o double_a reflection_n ed_z will_v seem_v in_o qr_n the_o high_a point_n d_o in_o r_o and_o the_o point_n l_o in_o q_n inverse_v as_o be_v say_v take_v d_o for_o the_o head_n and_o e_z for_o the_o foot_n so_o it_o will_v be_v a_o man_n inverse_v which_o will_v seem_v to_o be_v fly_v in_o the_o air_n if_o the_o image_n have_v wing_n unto_o it_o and_o have_v secret_o 〈◊〉_d motion_n and_o if_o the_o glass_n be_v big_a enough_o to_o receive_v many_o reflection_n it_o will_v deceive_v the_o sight_n the_o more_o by_o admire_v the_o change_n of_o colour_n that_o will_v be_v see_v by_o that_o motion_n problem_n lxxxi_o how_o to_o make_v a_o company_n of_o representative_a soldier_n seem_v to_o be_v 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 to_o make_v the_o experiment_n upon_o man_n there_o must_v be_v prepare_v two_o great_a glass_n but_o in_o stead_n of_o it_o we_o will_v suppose_v two_o lesser_a as_o gh_v and_o fi_n one_o place_v right_o against_o another_o perpendicular_a to_o the_o horizon_n upon_o a_o plain_a level_n table_n between_o which_o glass_n let_v there_o be_v range_v in_o battalia-wise_a upon_o the_o same_o table_n a_o number_n of_o small_a man_n according_a to_o the_o square_a g_o h_o i_o f_o or_o in_o any_o other_o form_n or_o posture_n hen_n may_v you_o evident_o see_v how_o the_o say_a battle_n will_v be_v multiply_v and_o seem_v far_o big_a in_o the_o appearance_n than_o it_o be_v in_o effect_n corolarie_o by_o this_o invention_n you_o may_v make_v a_o little_a cabinet_n of_o four_o foot_n long_o and_o two_o foot_n large_a more_o or_o less_o which_o be_v fill_v with_o rock_n or_o such_o like_a thing_n or_o there_o be_v put_v into_o it_o silver_n gold_n stone_n of_o lustre_n jewel_n etc._n etc._n and_o the_o wall_n of_o the_o say_a cabinet_n be_v all_o cover_v or_o hang_v with_o plain_a glass_n these_o visibles_n will_v appear_v manifold_o increase_v by_o reason_n of_o the_o multiplicity_n of_o reflection_n and_o at_o the_o open_n of_o the_o say_a cabinet_n have_v set_v something_o which_o may_v hide_v they_o from_o be_v see_v those_o that_o look_v into_o it_o will_v be_v astonish_v to_o see_v so_o few_o in_o number_n which_o before_o seem_v to_o be_v so_o many_o problem_n lxxxii_o of_o fine_a and_o pleasant_a dials_n can_v you_o choose_v a_o more_o ridiculous_a one_o than_o the_o natural_a dial_n write_v among_o the_o greek_a epigram_n upon_o which_o some_o sound_a poet_n make_v verse_n show_v that_o a_o man_n carry_v about_o he_o always_o a_o dial_n in_o his_o face_n by_o mean_n of_o the_o nose_n and_o tooth_n and_o be_v not_o this_o a_o jolly_a dial_n for_o he_o need_v not_o but_o open_a the_o mouth_n the_o line_n shall_v be_v all_o the_o tooth_n and_o the_o nose_n shall_v serve_v for_o the_o style_n of_o a_o dial_n of_o herb_n can_v you_o have_v a_o fine_a thing_n in_o a_o garden_n or_o in_o the_o middle_n of_o a_o compartemeet_a than_o to_o see_v the_o line_n and_o the_o number_n of_o hour_n represent_v with_o little_a bushy_a herb_n as_o of_o hyssop_n or_o such_o which_o be_v proper_a to_o be_v cut_v in_o the_o border_n and_o at_o the_o top_n of_o the_o style_n to_o have_v a_o fan_n to_o show_v which_o way_n the_o wind_n blow_v this_o be_v very_o pleasant_a and_o useful_a of_o the_o dial_n upon_o the_o finger_n and_o the_o hand_n be_v it_o nor_o a_o commodity_n very_o agreeable_a when_o one_o be_v in_o the_o fie●d_n or_o in_o some_o vil●age_n without_o any_o other_o dial_n to_o see_v only_o by_o the_o hand_n what_o of_o the_o clock_n it_o be_v which_o give_v it_o very_o near_o and_o may_v be_v practise_v by_o the_o left_a hand_n in_o this_o manner_n take_v a_o straw_n or_o like_a thing_n of_o the_o length_n of_o the_o index_n or_o the_o second_o finger_n hold_v this_o straw_n very_o right_o between_v the_o thumb_n and_o the_o forefinger_n then_o stretch_v forth_o the_o hand_n and_o turn_v your_o back_n and_o the_o palm_n of_o your_o hand_n towards_o the_o sun_n so_o that_o the_o shadow_n of_o the_o muscle_n which_o be_v under_o the_o thumb_n touch_v the_o line_n of_o life_n which_o be_v between_v the_o middle_n of_o the_o two_o other_o great_a line_n which_o be_v see_v in_o the_o palm_n of_o the_o hand_n this_o do_v the_o end_n of_o the_o shadow_n will_v show_v what_o of_o the_o clock_n it_o be_v for_o at_o the_o end_n of_o the_o first_o finger_n it_o be_v 7_o in_o the_o morning_n or_o 5_o in_o the_o evening_n at_o the_o end_n of_o the_o ring-finger_n it_o be_v 8_o in_o the_o morning_n or_o 4_o in_o the_o evening_n at_o the_o end_n of_o the_o little_a finger_n or_o first_o joint_n it_o be_v 9_o in_o the_o morning_n or_o 3_o in_o the_o afternoon_n 10_o &_o 2_o at_o the_o second_o joint_n 11_o and_o 1_o at_o the_o three_o joint_n and_o midday_n in_o the_o line_n follow_a which_o come_v from_o the_o end_n of_o the_o index_n of_o a_o dial_n which_o be_v about_o a_o obeliske_n at_o rome_n be_v not_o this_o a_o pretty_a fetch_n upon_o a_o pavement_n to_o choose_v a_o obeliske_n for_o a_o dial_n have_v 106_o foot_n in_o height_n without_o remove_v the_o basis_n of_o it_o pliny_n assure_v we_o in_o his_o 26_o book_n and_o 8_o chap._n that_o the_o emperor_n augustus_n have_v accommodate_v in_o the_o field_n of_o mars_n a_o obeliske_n of_o this_o height_n he_o make_v about_o it_o a_o pavement_n and_o by_o the_o industry_n of_o man●lius_n the_o mathematician_n there_o be_v enchace_v mark_n of_o copper_n upon_o the_o pavement_n and_o place_v also_o a_o apple_n of_o gold_n upon_o the_o top_n of_o the_o say_a obeliske_n to_o know_v the_o hour_n and_o the_o course_n of_o the_o sun_n with_o the_o increase_n and_o decrease_v of_o day_n by_o the_o same_o shadow_n and_o in_o the_o same_o manner_n do_v some_o by_o the_o shadow_n of_o their_o head_n or_o other_o style_n make_v the_o like_a experiment_n in_o astronomy_n of_o dial_n with_a glass_n pt●lomie_n w●ites_v as_o cardanus_n report_v that_o long_o ago_o there_o be_v glass_n which_o serve_v for_o dial_n and_o present_v the_o face_n of_o the_o beholder_n as_o many_o time_n as_o the_o hour_n ought_v to_o be_v twice_o if_o it_o be_v 2_o of_o the_o clock_n 9_o if_o it_o be_v 9_o etc._n etc._n but_o this_o be_v think_v to_o be_v do_v by_o the_o help_n of_o water_n and_o not_o by_o glass_n which_o do_v leak_n by_o little_a and_o little_a out_o of_o the_o vessel_n discover_v anon_o one_o glass_n than_o anon_o two_o glass_n than_o 3_o 4_o 5_o glass_n etc._n etc._n to_o show_v so_o many_o face_n as_o there_o be_v hour_n which_o be_v only_o by_o leak_a of_o water_n of_o a_o dial_n which_o have_v a_o glass_n in_o the_o place_n of_o the_o style_n what_o will_v you_o say_v of_o the_o invention_n of_o mathematician_n which_o find_v out_o daily_o so_o many_o fine_a and_o curious_a novelty_n they_o have_v now_o a_o way_n to_o make_v dial_n upon_o the_o wainscot_n or_o ceiling_n of_o a_o chamber_n and_o there_o where_o the_o sun_n can_v never_o shine_v or_o the_o beam_n of_o the_o sun_n can_v direct_o strike_v and_o this_o be_v do_v in_o place_v of_o a_o little_a glass_n in_o the_o place_n of_o the_o style_n which_o reflect_v the_o light_n with_o the_o same_o condition_n that_o the_o shadow_n of_o the_o style_n show_v the_o hour_n and_o it_o be_v easy_a to_o make_v experiment_n upon_o a_o common_a dial_n change_v only_o the_o disposition_n of_o the_o dial_n and_o tie_v to_o the_o end_n of_o the_o style_n a_o piece_n of_o plain_a glass_n the_o almain_n use_v it_o much_o who_o by_o this_o way_n have_v no_o great_a trouble_n but_o to_o put_v their_o nose_n out_o of_o their_o bed_n and_o see_v what_o a_o clock_n it_o be_v which_o be_v reflect_v
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
then_o multiply_v that_o by_o 5._o and_o to_o it_o add_v 10_o and_o to_o the_o sum_n bid_v he_o add_v the_o number_n of_o the_o second_o dice_n and_o multiply_v that_o by_o 10_o last_o to_o this_o bid_v he_o add_v the_o number_n of_o the_o last_o dice_n and_o then_o let_v he_o declare_v the_o whole_a number_n then_o if_o from_o it_o you_o subtract_v ●50_n there_o will_v remain_v the_o number_n of_o the_o three_o dice_n throw_v problem_n xxxvii_o how_o to_o make_v water_n in_o a_o glass_n seem_v to_o boil_v and_o sparkle_v take_v a_o glass_n near_o full_a of_o water_n or_o other_o liquor_n and_o set_v one_o hand_n upon_o the_o foot_n of_o it_o to_o hold_v it_o fast_o turn_v slight_o one_o of_o the_o finger_n of_o your_o other_o hand_n upon_o the_o brim_n or_o edge_n of_o the_o glass_n have_v before_o private_o wet_v your_o finger_n and_o so_o pass_v soft_o on_o with_o your_o finger_n in_o press_v a_o little_a for_o than_o first_o the_o glass_n will_v begin_v to_o make_v a_o noise_n second_o the_o part_n of_o the_o glass_n will_v sensible_o appear_v to_o tremble_v with_o notable_a rarefaction_n and_o condensation_n three_o the_o water_n will_v shake_v seem_v to_o boil_v four_a it_o will_v cast_v itself_o out_o of_o the_o glass_n and_o leap_v out_o by_o small_a drop_n with_o great_a astonishment_n to_o the_o stander_n by_o if_o they_o be_v ignorant_a of_o the_o cause_n of_o it_o which_o be_v only_o in_o the_o rarefaction_n of_o the_o part_n of_o the_o glass_n occasion_v by_o the_o motion_n and_o pressure_n of_o the_o finger_n examination_n the_o cause_n of_o this_o be_v not_o in_o the_o rarefaction_n of_o the_o part_n of_o the_o glass_n but_o it_o be_v rather_o in_o the_o quick_a local_a motion_n of_o the_o finger_n for_o reason_n show_v we_o that_o by_o how_o much_o a_o body_n draw_v near_a to_o a_o quality_n the_o less_o be_v it_o subject_a or_o capable_a of_o another_o which_o be_v contrary_a unto_o it_o now_o condensation_n and_o rarefaction_n be_v contrary_a quality_n and_o in_o this_o problem_n there_o be_v three_o body_n consider_v the_o glass_n the_o water_n and_o the_o air_n now_o it_o be_v evident_a that_o the_o glass_n be_v the_o most_o solid_a and_o impenetrable_a body_n be_v less_o subject_a and_o capable_a of_o rarefaction_n than_o the_o water_n the_o water_n be_v less_o subject_a than_o the_o air_n and_o if_o there_o be_v any_o rarefaction_n it_o be_v rather_o considerable_a in_o the_o air_n then_o in_o the_o water_n which_o be_v inscribe_v by_o the_o glass_n and_o above_o the_o water_n and_o rather_o in_o the_o water_n then_o in_o the_o glass_n the_o agitation_n or_o the_o tremble_n of_o the_o part_n of_o the_o glass_n to_o the_o sense_n appear_v not_o for_o it_o be_v a_o continue_a body_n if_o in_o part_n why_o then_o not_o in_o the_o whole_a and_o that_o the_o water_n turn_v in_o the_o glass_n this_o appear_v not_o but_o only_o the_o upper_a contiguous_a part_n of_o the_o water_n that_o at_o the_o bottom_n be_v less_o subject_a to_o this_o agitation_n and_o it_o be_v most_o certain_a that_o by_o how_o much_o quick_a the_o circular_a motion_n of_o the_o finger_n upon_o the_o edge_n of_o the_o glass_n be_v by_o so_o much_o the_o more_o shall_v the_o air_n be_v agitate_a and_o so_o the_o water_n shall_v receive_v some_o apparent_a affection_n more_o or_o less_o from_o it_o according_a to_o that_o motion_n as_o we_o see_v from_o the_o quickness_n of_o wind_n upon_o the_o sea_n or_o c●lme_v thereof_o that_o there_o be_v a_o great_a or_o lesser_a agitation_n in_o the_o water_n and_o for_o further_a examination_n we_o leave_v it_o to_o the_o search_n of_o those_o which_o be_v curious_a problem_n xxxviii_o of_o a_o fine_a vessel_n which_o hold_v wine_n or_o water_n be_v cast_v in●o_o it_o at_o a_o certain_a height_n but_o be_v fill_v high_o it_o will_v run_v out_o of_o its_o own_o accord_n let_v there_o be_v a_o vessel_n a.b.c.d._n in_o the_o middle_n of_o which_o place_n a_o pipe_n who_o end_n both_o above_o at_o e_o and_o below_z at_o the_o bottom_n of_o the_o vessel_n as_o at_o ●_o be_v open_a let_v the_o end_n ●_o be_v somewhat_o low_a than_o the_o brim_n of_o the_o glass_n about_o this_o pipe_n place_v another_o pipe_n as_o h._n l_o which_o mount_v a_o little_a above_o e_z and_o let_v it_o most_o diligent_o be_v close_v at_o h_n that_o no_o air_n enter_v in_o thereby_o and_o this_o pipe_n at_o the_o bottom_n may_v have_v a_o small_a hole_n to_o give_v passage_n unto_o the_o water_n then_o pour_v in_o water_n or_o wine_n and_o as_o long_o as_o it_o mount_v not_o above_o e_z it_o be_v safe_a but_o if_o you_o pour_v in_o the_o water_n so_o that_o it_o mount_v above_o it_o farewell_n all_o for_o it_o will_v not_o cease_v until_o it_o be_v all_o go_v out_o the_o same_o may_v be_v do_v in_o dispose_v any_o crooked_a pipe_n in_o a_o vessel_n in_o the_o manner_n of_o a_o faucet_n or_o funnel_n as_o in_o the_o figure_n h_n for_o fill_v it_o under_o h_n at_o pleasure_n and_o all_o will_v go_v well_o but_o if_o you_o fill_v it_o unto_o h._n you_o will_v see_v fine_a sport_n for_o then_o all_o the_o vessel_n will_v be_v empty_a incontinent_a and_o the_o subtlety_n of_o this_o will_v seem_v more_o admirable_a if_o you_o conceal_v the_o pipe_n by_o a_o bird_n serpent_n or_o such_o like_a in_o the_o middle_n of_o the_o glass_n now_o the_o reason_n of_o this_o be_v not_o difficult_a to_o those_o which_o know_v the_o nature_n of_o a_o cock_n or_o faucet_n for_o it_o be_v a_o bow_a pipe_n one_o end_n of_o which_o be_v put_v into_o the_o water_n or_o liquor_n and_o suck_v at_o the_o other_o end_n until_o the_o pipe_n be_v full_a then_o will_v it_o run_v of_o itself_o and_o it_o be_v a_o fine_a secret_a in_o nature_n to_o see_v that_o if_o the_o end_n of_o the_o pipe_n which_o be_v out_o of_o the_o water_n be_v low_a than_o the_o water_n it_o will_v run_v out_o without_o cease_v but_o if_o the_o mouth_n of_o the_o pipe_n be_v high_o than_o the_o water_n or_o level_v with_o it_o it_o will_v not_o run_v although_o the_o pipe_n which_o be_v without_o be_v many_o time_n big_a than_o that_o which_o be_v in_o the_o water_n for_o it_o be_v the_o property_n of_o water_n to_o keep_v always_o exact_o level_v examination_n here_o be_v to_o be_v note_v that_o if_o the_o face_n of_o the_o water_n without_o be_v in_o one_o and_o the_o same_o plain_a with_o that_o which_o be_v within_o though_o the_o outtermost_a pipe_n be_v ten_o time_n great_a than_o that_o which_o be_v within_o the_o water_n natural_o will_v not_o run_v but_o if_o the_o plain_a of_o the_o water_n without_o be_v any_o part_n low_o than_o that_o which_o be_v within_o it_o will_v free_o run_v and_o here_o may_v be_v note_v further_o that_o if_o the_o mouth_n of_o the_o pipe_n which_o be_v full_a of_o water_n do_v but_o only_o touch_v the_o superficies_n of_o the_o water_n within_o although_o the_o other_o end_n of_o the_o pipe_n without_o be_v much_o low_a than_o that_o within_o the_o water_n it_o will_v not_o run_v at_o all_o which_o contradict_v the_o first_o ground_n hence_o we_o gather_v that_o the_o pressure_n or_o ponderosity_n of_o the_o water_n within_o be_v the_o cause_n of_o run_v in_o some_o respect_n problem_n thirty-nine_o of_o a_o glass_n very_o pleasant_a sometime_o there_o be_v glass_n which_o be_v make_v of_o a_o double_a fashion_n as_o if_o one_o glass_n be_v within_o another_o so_o that_o they_o seem_v but_o one_o but_o there_o be_v a_o little_a space_n between_o they_o no●_n pour_v wine_n or_o other_o liquor_n between_o the_o two_o edge_n by_o help_n of_o a_o tunnell_n into_o a_o little_a hole_n leave_v to_o this_o end_n so_o will_v there_o appear_v two_o fine_a delusion_n or_o fallacy_n for_o though_o there_o be_v not_o a_o drop_n of_o wine_n within_o the_o hollow_v of_o the_o glass_n it_o will_v seem_v to_o those_o which_o behold_v it_o that_o it_o be_v a_o ordinary_a glass_n full_a of_o wine_n and_o that_o especial_o to_o those_o which_o be_v side-wise_a of_o it_o and_o if_o any_o one_o move_v it_o it_o will_v much_o confirm_v it_o because_o of_o the_o motion_n of_o the_o wine_n but_o that_o which_o will_v give_v most_o delight_n be_v that_o if_o any_o one_o shall_v take_v the_o glass_n and_o put_v it_o to_o his_o mouth_n shall_v think_v to_o drink_v the_o wine_n instead_o of_o which_o he_o shall_v sup_v the_o air_n and_o so_o will_v cause_v laughter_n to_o those_o that_o stand_v by_o who_o be_v deceive_v will_v hold_v the_o glass_n to_o the_o light_n &_o thereby_o consider_v that_o the_o ray_n or_o beam_n of_o the_o light_n be_v not_o reflect_v to_o the_o eye_n
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 be_v equal_a to_o the_o distance_n from_o one_o end_n of_o his_o finger_n to_o the_o other_o when_o the_o arm_n be_v extend_v as_o wide_a as_o they_o may_v be_v second_o if_o a_o man_n have_v his_o foot_n and_o hand_n extend_v or_o stretch_v in_o form_n of_o s._n andrews_n cross_n place_v one_o foot_n of_o a_o pair_n of_o compass_n upon_o his_o navel_n one_o may_v describe_v a_o circle_n which_o will_v pass_v by_o the_o end_n of_o his_o hand_n and_o foot_n and_o draw_v line_n by_o the_o term_n of_o the_o hand_n and_o foot_n you_o have_v a_o square_a within_o a_o circle_n three_o the_o breadth_n of_o man_n or_o the_o space_n which_o be_v from_o one_o side_n to_o another_o the_o breast_n the_o head_n and_o the_o neck_n make_v the_o 6_o part_n of_o all_o the_o body_n take_v in_o length_n or_o height_n four_o the_o length_n of_o the_o face_n be_v equal_a to_o the_o length_n of_o the_o hand_n take_v from_o the_o small_a of_o the_o arm_n unto_o the_o extremity_n of_o the_o long_a finger_n 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