Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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Annotatio.
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Pariſienſes
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libra
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72.
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ef
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ficiunt pe
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dem
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aquæ.
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MErſennus ait, heminas ſeu libras Pariſienſes
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72.
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efficere pedem
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cubicum aquæ. </
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>Itaque ſi placet prædictas libras ad pedes cubi
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cos reducere, divide numerum
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159552
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per
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72,
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& quotiens
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2216
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da
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bit aquæ pedes cubicos quos horæ ſpatio fundet tubus
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ADB. </
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Propoſitio XVIII. Problema II.
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Datis altitudine & lumine tubi ſemper pleni, invenire
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tempus quo datam aquæ quantitatem effundat, ſi
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ve quo datam ciſternam impleat.
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>SIt tubus ſemper plenus ADB, v.g. 16 pedes altus, lumen </
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habens digitale DB; ſit verò quantitas aquæ à tubo ADB
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effundendæ, aut ciſterna ab eodem replenda, 3000 pedum cu
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bicorum. </
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>Oporteat invenire tempus quo dictam aquam ef
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fundat, aut dictam ciſternam impleat. </
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Data alti
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tudine &
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foramine
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tubi, inve
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nire tempus
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quo data a
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qua effluit.
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>Revocentur primò 3000 pedes cubici aquæ ad heminas
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ſeu libras (quod fiet, ſi 3000 multiplica
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bis per 72. fiatq, numerus librarum 216000,
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(quandoquidem unus pes cubicus conficit
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72 libras, ut diximus Propoſit: præceden
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te in Annotat:) Deinde ſumatur ex ADB,
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tubus quadrupedalis EDB: Demum inter
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ADB altitudinem, id eſt, 16, & EDB alti
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tudinem, id eſt, 4, inveniatur medius nu
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merus proportionalis 8. </
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<
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>Igitur, per Pro
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poſit. VIII. præcedentem, aqua fluens per
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tubum EDB, eſt ad aquam per tubum
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ADB eodem tempore fluentem, ut 4 ad 8,
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in ratione videlicet ſubduplicata altitudi
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num EDB 4 pedum, & ADB 16 pedum. </
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Quo ergo tempore dat tubus ADB 3000
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pedes cubicos aquæ, id eſt, 216000 hemi
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nas ſeu libras; eodem tempore EDB dabit duplò minus, ſeu </
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