Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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Mundi, & Balianus lib 1. de Motu naturali gravium, Propoſit. 6.
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(licet deinde lib. 4. à pag. 110. ad 113. aliter ſtatuat) & poſtipſos
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Gaſſendus in Epiſtolis de motu impreſſo à motore, & Kirche
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rus in Muſurgia lib. 6. parte 1. Lemmate 3. & conſtat experien
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tiâ. </
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>Numeri pariter impares ab unitate numerati, ſunt hi: 1,
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3, 5, 7, 9, 11, 13, 15 &c. </
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>Itaque ſi grave aliquod deſcendens con
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ficit in primo minuto temporis unum ſtadium ſpatij; in ſecundo
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minuto conficiet tria ftadia, in tertio quinque, in quarto ſe
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ptem, &c. </
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>Sic enim ſpatia æqualibus temporibus confecta,
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erunt inter ſe, ut quadrata temporum: nam quadratum mi
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nuti primi eſt 1; & quadratum minuti ſecundi, 4; & quadra
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tum minuti tertij, 9; & quadratum minuti quarti, 16 &c. ut
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apparet inappoſita tabella. </
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Cùm igitur grave deſcen
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dens in primo minuto con
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ficiat unum ſpatium, & in
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ſecundo minuto tria ſpatia,
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quæ cum uno conficiunt
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quatuor; & in tertio minu
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to quinque ſpatia, quæ cum
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quatuor efficiunt novem; & in quarto minuto ſeptem ſpatia,
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quæ cum novem efficiunt ſexdecim; & in quinto minuto no
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vem ſpatia, quæ cum ſexdecim efficiunt viginti quinque, &c.
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apparet manifeſtè, ſpatia tranſmiſſa à gravi deſcendente, ha
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bere ſe, ut quadrata temporum æqualium, quibus percurrun
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tur illa ſpatia. </
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>In idem autem recidit, ſi dicas, ſpatia tranſ
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miſſa certis temporibus habere inter ſe duplicatam rationem
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ſeu proportionem illius proportionis, quam habent tempora,
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quibus ſpatia illa menſurata fuerint: nam tempus ſeu minutum
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ſecundum ad primum, ut apparet ex tabella præcedente, ha
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bet rationem ſeu proportionem duplam, ſpatia verò ſecundo
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minuto confecta, nempe 1 ad 3 (quæ ſimul juncta efficiunt 4)
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ad primum minutum habent rationem duplicatam rationis
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duplæ. </
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<
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