Schott, Gaspar, Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet. , 1657

Table of figures

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              <s>SUppono hîc id, quod notavi ſuprà Pro­
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              poſit. XIII. tam exiguam eſſe differen­
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              tiam inter velocitates aquarum ex tubis
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              eiusdem altitudinis, & diverſorum fora­
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              minum,
                <expan abbr="effluentiũ">effluentium</expan>
              , ut cenſeri meritò poſ­
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              ſit, aquam ad aquam eſſe, utforamen ad
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              foramen. </s>
              <s>Quo poſito.
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              Data alti­
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              tudine &
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              foramine tu­
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              bi, invenire
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              aquæ quan­
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              titatem da­
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              to tempore
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              effluentem.
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              <s>Sit, exempli gratia, altitudo tubi
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              ADB pedum 64, luminis ſeu foraminis
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              diameter DB digitalis, tempus hora una. </s>
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              Oporteat igitur reperire, quantum aquæ
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              tribuat, ſeu quantam ciſternam impleat,
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              prædictus tubus, intra unam horam. </s>
              <s>So­
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              lutio pendet ex dictis Propoſit. VII. XIII.
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              & VIII. & præterea ex Propoſit. 2. lib. 12. Eu­
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              clidis. </s>
              <s>Igitur tubum 4 pedes altum, &
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              luminis linearis, repræſentet CPK. </s>
              <s>Ex
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              tubo ADB. ſume EDB portionem
                <expan abbr="etiã">etiam</expan>
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              4 pedes altam. </s>
              <s>Et quoniam diameter DB
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              digitalis, eſt ad linearem PK, ut 12 ad 1;
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              erit per Propoſit. ſecundam lib. 12. Eucli­
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              dis, lumen DB ad lumen KP, utquadra­
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              tum diametri DB, ad quadratum diame­
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              tri PK, hoc eſt, ut 144 ad 1. </s>
              <s>Quare cùm
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              per Propoſit. XIII. præcedentem, in tubis
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              æquè altis & ſemper plenis, ſed inæquali­
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              um luminum, aqua ab uno effuſa, fit ad a­
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              quam ab altero effuſam, tempore eodem,
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              ut lumen ad lumen; dabit EDB. centies
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              quadragies quater plus aquæ, quàm det
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              eodem tempore tubus CPK: Sed tubus
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              CPK, per Propoſit. VII. præcedentem,
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              ſpatio tredecim ſecundorum temporis dat
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              unam libram aquæ: </s>
              <s>Ergo tubus EDB </s>
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