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end_n begin_v day_n evening_n 2,444 5 10.9158 5 true
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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

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the_o open_a air_n the_o rupture_n or_o violence_n of_o water_n issue_v out_o of_o a_o fountain_n show_v we_o that_o water_n be_v contract_v into_o a_o pipe_n cause_v a_o violence_n in_o its_o passage_n the_o glass_n of_o galeileus_n make_v we_o see_v how_o useful_a pipe_n or_o trunk_n be_v to_o make_v the_o light_n and_o species_n more_o visible_a and_o proportionable_a to_o our_o eye_n it_o be_v say_v that_o a_o prince_n of_o italy_n have_v a_o fair_a hall_n in_o which_o he_o can_v with_o facility_n hear_v distinct_o the_o discourse_n of_o those_o which_o walk_v in_o the_o adjacent_a garden_n which_o be_v by_o certain_a vessel_n and_o pipe_n that_o answer_v from_o the_o garden_n to_o the_o hall_n vitruvius_n make_v mention_v also_o of_o such_o vessel_n and_o pipe_n to_o strengthen_v the_o voice_n and_o action_n of_o comedian_n and_o in_o these_o time_n among_o many_o noble_a personage_n the_o new_a kind_n of_o trunk_n be_v use_v to_o help_v the_o hear_n be_v make_v of_o silver_n 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a_o number_n that_o have_v equal_a distance_n from_o the_o half_a of_o that_o number_n the_o one_o augment_v and_o the_o other_o diminish_v as_o 7_o and_o 7_o of_o 8_o and_o ●_o of_o 9_o and_o 5_o of_o 10_o and_o 4_o of_o 11_o and_o 3_o of_o 12_o and_o 2_o of_o 13_o and_o ●_o as_o the_o one_o be_v more_o than_o the_o half_a the_o other_o be_v less_o second_o it_o be_v difficult_a to_o find_v two_o number_n who_o sum_n and_o product_n be_v alike_o that_o be_v if_o the_o number_n be_v multiply_v one_o by_o another_o and_o add_v together_o will_v be_v equal_a which_o two_o number_n be_v 2_o and_o 2_o for_o to_o multiply_v 2_o by_o 2_o make_v 4_o and_o add_v 2_o unto_o 2_o make_v the_o same_o this_o property_n be_v in_o no_o other_o two_o whole_a number_n but_o in_o break_a number_n there_o be_v infinite_a who_o sum_n and_o product_n will_v be_v equal_a one_o to_o another_o as_o clavius_n show_v upon_o the_o 36_o pro._n of_o the_o 9t_n h_o book_n of_o euclid_n three_o the_o number_n 5_o 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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 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