Caverni, Raffaello, Storia del metodo sperimentale in Italia, 1891-1900

Table of figures

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        <body>
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            <p type="main">
              <s>
                <pb xlink:href="020/01/2710.jpg" pagenum="335"/>
              quaedam dicere. </s>
              <s>Utinam tibi libeat audire. </s>
              <s>Contemplationem leges, in qua
                <lb/>
              fortasse acumen desiderabis, non autem in solido, cuius tanta subtilitas est
                <lb/>
              ut, quamvis in infinitam longitudinem producatur, exigui tamen cylindri mo­
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              lem non excedat. </s>
              <s>I nunc et procul recede: aculeum habet Geometria lon­
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              giorem, quam tu ab ipso evadere possis. </s>
              <s>Huius ego mucrone, non minus
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              subtili quam longo, eruditas et vere geometricas aures tuas non expungere
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              hesitabo. </s>
              <s>Caeterum lege libenter hoc, quicquid est, mox enim videbis huius
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              contemplationis materiam, quae nunc cuspis est, meliore figura refusam in
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              calicem tantae capacitatis, ut sitim vel giganteam extinguere possit ” (ibid.,
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              T. XXX, fol. </s>
              <s>3). </s>
            </p>
            <p type="main">
              <s>Di qui apparisce che lo scopo è principalmente quello di trovar, delle
                <lb/>
              varie coppe da soprapporre al piè del calice, la grandezza e no il centro, di­
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              cendo scherzevolmente al Magiotti che nel Luglio sitibondo, in cui scriveva,
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              metteva più conto di ritrovar del bicchiere da rinfrescarsi le misure della
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              capacità, che del peso. </s>
              <s>Nonostante, s'indica anche delle varie coppe descritte
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              il luogo del baricentro, e benchè tutte l'abbiano in mezzo all'asse, era pur
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              necessario dimostrarlo per vie geometriche, come il Torricelli fa in quel suo
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              modo, sempre facile ed elegante, cosicchè par che chi legge, sedotto dal de­
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              siderio di cogliere le rose, non senta più la mano pungersi dalle spine. </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              “ Lemma I.
                <emph.end type="italics"/>
              — Si fuerint tres lineae in continua proportione, erit ar­
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              milla, sive differentia circulorum, quorum alter fit ex semisse aggregati, alter
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              vero ex semisse differentiae extremorum; aequalis circulo, qui fit ex media
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              proportionalium linearum. </s>
              <s>”
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                <figure id="id.020.01.2710.1.jpg" xlink:href="020/01/2710/1.jpg" number="703"/>
              </s>
            </p>
            <p type="caption">
              <s>Figura 198.</s>
            </p>
            <p type="main">
              <s>“ Sint tres lineae in continua ratione AB, BC,
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              BD (fig. </s>
              <s>198), et ponantur extremae in directum ABD,
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              ipsa vero media BC erigatur in B ad angulos rectos. </s>
              <s>
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              Secta deinde AD bifariam in E, fiat ex ED, semisse
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              aggregati extremarum, circulus ACD. </s>
              <s>Ex ipsa vero
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              EB, semisse differentiae extremarum, fiat circulus
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              FB. </s>
              <s>Dico armillam AFCD aequale esse circulo ex BC,
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              tamquam semidiametro descripto. </s>
              <s>Juncta enim EC
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              erit, ex XLVII Primi, et II Duodecimi, circulus ex EC
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              aequalis duobus simul circulis ex EB, et ex BC, ob angulum rectum EBC. </s>
              <s>
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              Dempto ergo communi circulo ex EB, remanebit armilla AFCD aequalis cir­
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              culo ex BC, qùod etc. </s>
              <s>” </s>
            </p>
            <p type="main">
              <s>“ PROPOSIZIONE XXXIX. —
                <emph type="italics"/>
              Si hyperbola, una cum asymptotis, circa
                <emph.end type="italics"/>
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                <figure id="id.020.01.2710.2.jpg" xlink:href="020/01/2710/2.jpg" number="704"/>
              </s>
            </p>
            <p type="caption">
              <s>Figura 199.
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                <emph type="italics"/>
              axem proprium convertatur, erit solidum
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              vasiforme, abscissum plano ad axem erecto,
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              aequale cylindro, qui eamdem cum solido
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              basim habeat, et eamdem altitudinem. </s>
              <s>”
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>“ Sit hyperbola, cuius axis AB (fig. </s>
              <s>199),
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              asymptoti vero AC, AD, ipsa vero EF contin­
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              gat sectionem in E, et convertatur figura circa
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              AB. </s>
              <s>Supra circulo FG intelligatur cylindrus OFGI, et secetur solidum plano </s>
            </p>
          </chap>
        </body>
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    </archimedes>
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