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 contents

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[651.] EXPERIMENTUM CCXXXVI.
Page: 674 (657)
[652.] EXPERIMENTUM CCXXXVII.
Page: 674 (657)
[653.] EXPERIMENTUM CCXXXVIII.
Page: 674 (657)
[654.] EXPERIMENTUM CCXXXIX.
Page: 674 (657)
[655.] EXPERIMENTUM CCXL.
Page: 674 (657)
[656.] EXPERIMENTUM CCXLI.
Page: 674 (657)
[657.] EXPERIMENTUM CCXLII.
Page: 674 (657)
[658.] EXPERIMENTUM CCXLIII.
Page: 675 (658)
[659.] PROPOSITIO CXVIII.
Page: 675 (658)
[660.] PROPOSITIO CXIX.
Page: 677 (660)
[661.] Regula prima.
Page: 682 (665)
[662.] Regula Secunda.
Page: 683 (666)
[663.] Regula Tertia.
Page: 683 (666)
[664.] TABULA
Page: 684 (667)
[665.] CAPUT DECIMUM. Tentamen de corporum Duritie.
Page: 685 (668)
[666.] EPHEMERIDES METEOROLOGICÆ ULTRAJECTINÆ ANNI MDCCXXVIII.
Page: 690 (673)
[667.] FINIS.
Page: 705 (685)
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            <s xml:id="echoid-s16742" xml:space="preserve">
              <pb o="661" file="0677" n="678" rhead="CORPORUM FIRMORUM."/>
            324, quadratum longitudinis 18 pollic.</s>
            <s xml:id="echoid-s16743" xml:space="preserve">, ita reſiſtentia 23 ad 51 {1/4} libr.
              <lb/>
            </s>
            <s xml:id="echoid-s16744" xml:space="preserve">adeoque parallelopipedum Experimenti CCXXII modo 12 longum
              <lb/>
            pollices geſtare poſſet 51 {3/4} libr.</s>
            <s xml:id="echoid-s16745" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16746" xml:space="preserve">Deinde quæratur quantum foret parallelopipedi, cujus unum
              <lb/>
            latus eſt o, 35 pollic. </s>
            <s xml:id="echoid-s16747" xml:space="preserve">cum alterum, cujus latus eſt o, 23 pollic. </s>
            <s xml:id="echoid-s16748" xml:space="preserve">& </s>
            <s xml:id="echoid-s16749" xml:space="preserve">
              <lb/>
            æque longum, ſuſtineat libras 51 {3/4}. </s>
            <s xml:id="echoid-s16750" xml:space="preserve">& </s>
            <s xml:id="echoid-s16751" xml:space="preserve">ſit hoc latus, quod non infle-
              <lb/>
            ctitur, etiamſi moveatur in eodem plano, in quo ante extitit; </s>
            <s xml:id="echoid-s16752" xml:space="preserve">quia
              <lb/>
            alterum latus incurvatur, debet reſiſtentia hæc neceſſario eſſe in
              <lb/>
            ratione magnitudinis lateris, hoc eſt uti 23 ad 35. </s>
            <s xml:id="echoid-s16753" xml:space="preserve">adeoque 23,
              <lb/>
            35:</s>
            <s xml:id="echoid-s16754" xml:space="preserve">: 51 {3/4}. </s>
            <s xml:id="echoid-s16755" xml:space="preserve">78 {2/3} proxime, idcirco parallelopipedum 12 longum pol-
              <lb/>
            lices, cujus unum latus o, 23 pollic. </s>
            <s xml:id="echoid-s16756" xml:space="preserve">alterum o, 35 pollic. </s>
            <s xml:id="echoid-s16757" xml:space="preserve">poſſet ge-
              <lb/>
            ſtare libras 78 {2/3}.</s>
            <s xml:id="echoid-s16758" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16759" xml:space="preserve">Sed nunc pervenimus ad latera parallelopipedorum, quæ incur-
              <lb/>
            vantur; </s>
            <s xml:id="echoid-s16760" xml:space="preserve">hæc inflexa reſiſtunt eodem modo ac ſolida inſlexa, quæ
              <lb/>
            examina vimus in Cap. </s>
            <s xml:id="echoid-s16761" xml:space="preserve">V, VI, VII. </s>
            <s xml:id="echoid-s16762" xml:space="preserve">quorum reſiſtentia demonſtrata
              <lb/>
            fuit in ratione duplicata craſſitiei, quæ inſlectitur. </s>
            <s xml:id="echoid-s16763" xml:space="preserve">Latera pa-
              <lb/>
            rallelopipedorum ſunt, o, 23 & </s>
            <s xml:id="echoid-s16764" xml:space="preserve">o, 35 poll. </s>
            <s xml:id="echoid-s16765" xml:space="preserve">quorum quadrata ſunt
              <lb/>
            529 & </s>
            <s xml:id="echoid-s16766" xml:space="preserve">1225, quæratur ergo robur proportionale ultimo quadrato:
              <lb/>
            </s>
            <s xml:id="echoid-s16767" xml:space="preserve">529. </s>
            <s xml:id="echoid-s16768" xml:space="preserve">1225:</s>
            <s xml:id="echoid-s16769" xml:space="preserve">: 78 {2/3}. </s>
            <s xml:id="echoid-s16770" xml:space="preserve">182 cum fractione: </s>
            <s xml:id="echoid-s16771" xml:space="preserve">debuiſſet igitur parallelopipe-
              <lb/>
            dum Experimenti CCXXV ferre pondus librar. </s>
            <s xml:id="echoid-s16772" xml:space="preserve">182. </s>
            <s xml:id="echoid-s16773" xml:space="preserve">ipſum vero
              <lb/>
            Experimentum dedit libras 185. </s>
            <s xml:id="echoid-s16774" xml:space="preserve">quod pondus cum calculo accura-
              <lb/>
            te ſatis congruit.</s>
            <s xml:id="echoid-s16775" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16776" xml:space="preserve">Ut magis confirmemur hanc Propoſitionem eſſe veram, exami-
              <lb/>
            nemus reſiſtentias, quas parallelopipeda Tiliæ in Experimentis
              <lb/>
            CCXXXIII & </s>
            <s xml:id="echoid-s16777" xml:space="preserve">CCXLIII exhibuerunt. </s>
            <s xml:id="echoid-s16778" xml:space="preserve">quæ ambo æque longa fue-
              <lb/>
            runt, ſed primum habuit laterum craſſities o, 25: </s>
            <s xml:id="echoid-s16779" xml:space="preserve">o, 35 poll. </s>
            <s xml:id="echoid-s16780" xml:space="preserve">alte-
              <lb/>
            rum habuit latera o, 34 pollic. </s>
            <s xml:id="echoid-s16781" xml:space="preserve">Comparemus nunc inter ſe latera,
              <lb/>
            quæ non inflectuntur, quorum reſiſtentia eſt in ratione ſimplici
              <lb/>
            craſitiei, hæc latera ſunt 35, 34. </s>
            <s xml:id="echoid-s16782" xml:space="preserve">adeoque ponantur in proportio-
              <lb/>
            35, 34:</s>
            <s xml:id="echoid-s16783" xml:space="preserve">: libr. </s>
            <s xml:id="echoid-s16784" xml:space="preserve">45, libr. </s>
            <s xml:id="echoid-s16785" xml:space="preserve">43 {5/7}. </s>
            <s xml:id="echoid-s16786" xml:space="preserve">deinde comparentur inter ſe reſiſten-
              <lb/>
            tiæ laterum, quæ inflectuntur, quæ ſunt in ratione duplicata craſ-
              <lb/>
            ſitierum; </s>
            <s xml:id="echoid-s16787" xml:space="preserve">latera quæ inflectuntur ſemper ſunt tenuiſſima; </s>
            <s xml:id="echoid-s16788" xml:space="preserve">adeoque
              <lb/>
            25 & </s>
            <s xml:id="echoid-s16789" xml:space="preserve">34. </s>
            <s xml:id="echoid-s16790" xml:space="preserve">quorum quadrata ſunt 625 & </s>
            <s xml:id="echoid-s16791" xml:space="preserve">1156. </s>
            <s xml:id="echoid-s16792" xml:space="preserve">ordinando igitur
              <lb/>
            proportionem 625, 1156:</s>
            <s xml:id="echoid-s16793" xml:space="preserve">: libr. </s>
            <s xml:id="echoid-s16794" xml:space="preserve">43 {5/7}. </s>
            <s xml:id="echoid-s16795" xml:space="preserve">libr. </s>
            <s xml:id="echoid-s16796" xml:space="preserve">80. </s>
            <s xml:id="echoid-s16797" xml:space="preserve">Calculus igitur
              <lb/>
            ſuppeditat libras 80 geſtandas a parallelopipedo Experimenti
              <lb/>
            CCXLIII. </s>
            <s xml:id="echoid-s16798" xml:space="preserve">eventus docuit libras 81 fuiſſe ſuſtentatas, qui </s>
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