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

Table of figures

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              rationem altitudinum prædictarum. </s>
              <s>Quoniam enim aqua flu­
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              it per B & C veluti per tubos, per Petitionem tertiam; a­
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              quæ autem per tubos æqualium altitudinum, ſunt in ſubdupli­
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              cata ratione altitudinum tuborum, per propoſit. 8. Capitis
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              tertij; conſtat propoſitum. </s>
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              Propoſitio VI. Problema I.
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              Secto foramine laterali vaſis in partes æquales, à rectis
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              horizontalibus, invenire rationes aquarum ex eis
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              fluentium.
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            <figure id="id.051.01.194.1.jpg" xlink:href="051/01/194/1.jpg" number="79"/>
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              <s>IN vaſe ST ſecetur foramen
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              laterale AB in partes æquales
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              AC, CD, DB, à rectis lineis hori­
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              zontalibus, ut fiant totidem fo­
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              ramina, quorum altitudines ſint
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              notæ; & per AC fluat aqua E,
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              per CD aqua F, per DB aqua
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              G, tempore æquali ſeu eodem:
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                <expan abbr="oporteatq́ue">oporteatque</expan>
              venari proportio­
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              nem aquarum E, F, G. </s>
              <s>Fiant
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              HI, KL, MN, altitudines forami­
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              num AC, CD, DB, à ſummo va­
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              ſis; & inter ipſas mediæ proportionales OP, QR, per decimam
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              tertiam Sexti Euclidis, aut per propoſit. 3. Parergi Capitis tertij
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              præcedentis. </s>
              <s>Quoniam igitur aqua E ad aquam F, eſt ut HI
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              ad OP, per Propoſit. 5. huius Capitis, nota eſt ratio aquæ E ad
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              aquam F. </s>
              <s>Item quoniam aqua F ad aquam G, eſt ut KL ad
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              QR, per eandem Propoſit. 5. huius Capitis, nota eſt pariter ra­
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              tio aquæ F ad aquam G: At ratioaquæ E ad aquam G com­
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              poſita rationum inter EF & FG notarum, eſt pariter
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              nota; Reperta eſt igitur ratio aquarum
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              E, F, G. </s>
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