Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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tempus quo effluit aqua per foramen 1, nempe 14400 minuta,
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per 144; hoc eſt, ſi accipiatur centeſima quadrageſima quarta
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pars minutorum 14400, nempe minuta 100; habebitur tem
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pus quo exhauritur vas CFDH, per digitale lumen E. </
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dem quoniam per Propoſit. XV. præcedentem, tempora qui
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bus deplentur vaſa ABCD, CFDH. æqualium baſium, ſed non
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æqualium altitudinum, per idem foramen E, ſunt in ſubdu
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plicata ratione altitudinum, nempe pedum 4, & pedum 16;
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ſi inter 4 & 16 inveniatur medius numerus proportionalis, nem
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pe 8; erit tempus quo evacuatur vas CFDH, per lumen digita
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le E, nimirum 100 minutorum, ad tempus quo evacuatur vas
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ABCD per idem lumen digitale E, ut 4 ad 8, ſeu ut 1 ad 2,
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nempe ut minuta 100, ad minuta 200, quæ efficiunt horas 3.
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min. 20. </
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Annotatio.
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QVod diximus de vaſe priſmatico, debet etiam intelligi de cylindrico,
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& cuiuscunque alterius figuræ; ſed tunc aſſumi debet tubus quadru
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pedalis vaſi ſimilis.
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Propoſitio XXI. Problema V.
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Dato vaſe, & tempore, invenire foramen per quod
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evacuetur tempore dato.
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<
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>SIt data ciſterna A, 1600.
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dum cubicorum; & tempus
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B, quo evacuandum eſt totum,
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ſit horarum 40 & minutorum
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16; ſitque inveniendum foramen, per quod evacuetur ciſter
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na A data, in tempore B dato. </
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>Aſſumatur quodvis lumen ſeu
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foramen notæ magnitudinis, v.g. lineare; & per Propoſitionem
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XX. præcedentem inveniatur tempus C, quo ciſterna A hu
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mido plena, evacuetur tota per lumen lineare. </
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<
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tur, per Propoſit. XVI. præcedentem, tempora quibus evacuan
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tur vaſa non ſemper plena, ſimilia, & æqualia quoad altitudinem </
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