Musschenbroek, Petrus van, Physicae experimentales, et geometricae de magnete, tuborum capillarium vitreorumque speculorum attractione, magnitudine terrae, cohaerentia corporum firmorum dissertationes: ut et ephemerides meteorologicae ultraiectinae

Table of Notes

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              <pb o="659" file="0675" n="676" rhead="CORPORUM FIRMORUM."/>
            Experimenti CCXXIII, longum 9 pollices fractum fuit a libris 92.
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            </s>
            <s xml:id="echoid-s16666" xml:space="preserve">quadratum longitudinis 18 eſt 324. </s>
            <s xml:id="echoid-s16667" xml:space="preserve">& </s>
            <s xml:id="echoid-s16668" xml:space="preserve">longitudinis 9, eſt 81. </s>
            <s xml:id="echoid-s16669" xml:space="preserve">ſunt
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            vero 23, 92:</s>
            <s xml:id="echoid-s16670" xml:space="preserve">: 81, 324. </s>
            <s xml:id="echoid-s16671" xml:space="preserve">ſed pondera frangentia ſunt æqualia reſi-
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            ſtentiis lignorum, adeoque ſunt reſiſtentiæ in ratione duplicata in-
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            verſa longitudinum; </s>
            <s xml:id="echoid-s16672" xml:space="preserve">quæ proportio tamen in aliis Experimentis
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            etiam demonſtranda erit: </s>
            <s xml:id="echoid-s16673" xml:space="preserve">In Experimento CCXXIV. </s>
            <s xml:id="echoid-s16674" xml:space="preserve">idem paral-
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            lelopipedum 8 longum pollices fractum fuit a libris 118, in hoc ta-
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            men Cohærentia paulo major, quam in memorata proportione,
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            obſervatur; </s>
            <s xml:id="echoid-s16675" xml:space="preserve">quod fieri facile poteſt ab inæquali firmitate Ligni,
              <lb/>
            quæ ſemper laxitatem quandam Phyſicam, non rigorem Mathema-
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            ticum poſtulat: </s>
            <s xml:id="echoid-s16676" xml:space="preserve">nam comparando Cohærentiam in longitudine 18
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            pollic. </s>
            <s xml:id="echoid-s16677" xml:space="preserve">cum ea ſub longitudine 8 pollic. </s>
            <s xml:id="echoid-s16678" xml:space="preserve">datur proportio uti 7452 ad
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            7552. </s>
            <s xml:id="echoid-s16679" xml:space="preserve">ordinando enim quantitates ſecundum proportionem inver-
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            ſam quadratorum & </s>
            <s xml:id="echoid-s16680" xml:space="preserve">multiplicando extremos medioſque terminos
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            per ſe, memorata prodeunt producta. </s>
            <s xml:id="echoid-s16681" xml:space="preserve">23. </s>
            <s xml:id="echoid-s16682" xml:space="preserve">118:</s>
            <s xml:id="echoid-s16683" xml:space="preserve">: 64. </s>
            <s xml:id="echoid-s16684" xml:space="preserve">324 nam eſt
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            23 X 324 = 7452 & </s>
            <s xml:id="echoid-s16685" xml:space="preserve">118 X 64 = 7552. </s>
            <s xml:id="echoid-s16686" xml:space="preserve">Alia tamen Experimen-
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            ta cum proportione aſſignata melius conveniunt: </s>
            <s xml:id="echoid-s16687" xml:space="preserve">nam parallelopi-
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            pedum Fraxini in Experimento CCXXVI. </s>
            <s xml:id="echoid-s16688" xml:space="preserve">longum 18 pollices fra-
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            ctum fuit a libris 15. </s>
            <s xml:id="echoid-s16689" xml:space="preserve">idem parallelopipedum 6 pollices longum in
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            Experimento CCXXVII. </s>
            <s xml:id="echoid-s16690" xml:space="preserve">fractum fuit a libris 132. </s>
            <s xml:id="echoid-s16691" xml:space="preserve">ſi capiantur
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            longitudinum 18 & </s>
            <s xml:id="echoid-s16692" xml:space="preserve">6, quadrata, hæc ſunt 324 & </s>
            <s xml:id="echoid-s16693" xml:space="preserve">36, in quæ ducta
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            ambo pondera frangentia dant 324 X 15 = 4860. </s>
            <s xml:id="echoid-s16694" xml:space="preserve">& </s>
            <s xml:id="echoid-s16695" xml:space="preserve">132 X 36
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            = 4752. </s>
            <s xml:id="echoid-s16696" xml:space="preserve">quæ appropinquant ſatis ad ſe invicem. </s>
            <s xml:id="echoid-s16697" xml:space="preserve">Ita in Experi-
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            mento CCXXVIII, parallelopipedum Fraxini 12 pollices longum
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            fractum fuit a libris 55, quadratum longitudinis 12 eſt 144 quod
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            ductum in 55 eſt = 7920. </s>
            <s xml:id="echoid-s16698" xml:space="preserve">& </s>
            <s xml:id="echoid-s16699" xml:space="preserve">in Experimento CCXXIX idem pa-
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            rallelopipedum 9 pollices longum, fractum fuit a libris 100. </s>
            <s xml:id="echoid-s16700" xml:space="preserve">ducen-
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            do quadratum longitudinis 9 pollicum in 100, habetur 8100 quod
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            productum iterum appropinquat ad præcedentem numerum 7920.</s>
            <s xml:id="echoid-s16701" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s16702" xml:space="preserve">In Experimento CCXXX. </s>
            <s xml:id="echoid-s16703" xml:space="preserve">parallelopipedum 18 pollices longum
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            fractum fuit a libris 30: </s>
            <s xml:id="echoid-s16704" xml:space="preserve">quadratum longitudinis ductum in 30 dat
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            9720: </s>
            <s xml:id="echoid-s16705" xml:space="preserve">ſed idem parallelopipedum in Experimento CCXXXI, lon-
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            gum 11 {1/2} pollic. </s>
            <s xml:id="echoid-s16706" xml:space="preserve">fractum eſt a libris 74, quadratum longitudinis
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            ductum in 74 dat 9768, quod iterum eſt proximum.</s>
            <s xml:id="echoid-s16707" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16708" xml:space="preserve">Lignum Tiliæ deinde conſideremus in Experimento CCXXXIII.
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            </s>
            <s xml:id="echoid-s16709" xml:space="preserve">parallelopipedum 12 pollices longum fractum fuit a libris 45. </s>
            <s xml:id="echoid-s16710" xml:space="preserve"/>
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