Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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>XVIII. Datis altitudine & lumine tubi ſemper pleni, invenire tempus quo da
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tam aquæ quantitatem effundat, ſive quo datam ciſternam impleat. 135 </
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>XIX. Datis tempore, quantitate aquæ, ſeu ciſterna, & lumine tubi, invenire alti
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tu̇dinem tubi, qui ſemper plenus ciſternam dato tempore repleat. 136 </
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>XX. Dato vaſe, & foramine per quod effluit aqua, invenire tempus quo eva
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cuatur. 137 </
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>XXI. Dato vaſe, & tempore, invenire foramen per quod evacuetur tempore
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dato. 139 </
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>XXII. Altitudinem ſcaturiginis dati fontis per tubos fluentis invenire. 140 </
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>XXIII. Data alicujus tubi, aut vaſis erogatorii altitudine, ac tempore quo deter
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minatam aquæ quantitatem è ſuo lumine effundit, invenire altitudinem
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ejusdem aut alterius tubi, qui æquali tempore, per æquale lumen, aliam de
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terminatam aquæ quantitatem effundat. 140 </
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>XXIV. In tubo ſeu vaſe ſemper pleno determinare ſpatia, quæ temporibus
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æqualibus ſibi ſuccedentibus evacuantur; uti & menfuram ſeu pondus a
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quæ quæ effluit. 141 </
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PARERGUM CAPITIS III.
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>De inventione mediæ, ac tertiæ proportionalis quantitatis, in numeris, & lineis. 144. </
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>PROPOSITIO </
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>I. Inter duos numeros medium proportionalem invenire. 145 </
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>II. Datis duobus numeris, tertium continuè proportionalem invenire. ibid. </
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>III. Inter duas rectas lineas datas invenire tertiam proportionalem. ibid. </
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>IV. Datis duabus rectis, invenire tertiam proportionalem. 146 </
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>V. Aliter invenire tertiam proportionalem. 147 </
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>VI. Adhuc aliter invenire tertiam proportionalem. ibid. </
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>VII. Datis tribus numeris invenire quartum proportionalem. 148 </
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>VIII. Datis tribus rectis lineis, quartam proportionalem invenire. ibid. </
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CAPUT IV.
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>De proprietatibus aquæ ſalientis ex tubis. 149 </
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>PROPOSITIO </
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>I. Salientium ſive ecdromorum horizontalium, & mediorum, ſuper eodem ho
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rizonte, longitudines ſunt in ratione ſubduplicata tuborum, ex quibus exi
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liunt. 151 </
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>III. Salientes horizontales & mediæ, ejusdem tubi, eò ſunt longiores, quò lu
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men tubi fuerit altius ſupra horizontem. 153 </
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