Ghetaldi, Marino, Marini Ghetaldi Promotvs Archimedis sev de varijs corporum generibus grauitate & magnitudine comparatis

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              <pb o="10" file="0022" n="22" rhead="PROMOTVS"/>
            tudinem habentis æqualem ceræ F, quæ ſit 22, fiat vt 21, ad 22, ita
              <lb/>
            2100, ad alium numerum qui ſit 2200; </s>
            <s xml:id="echoid-s325" xml:space="preserve">erit igitur grauitas aquæ ma
              <lb/>
            gnitudinem habentis æqualem ceræ A, 2200.</s>
            <s xml:id="echoid-s326" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s327" xml:space="preserve">Neque neceſſe eſt, vt illud corpus ſolidum magni ponderis
              <lb/>
            reipſa proponatur, ſufficit enim vt eius grauitas notificetur
              <lb/>
            numero tantum.</s>
            <s xml:id="echoid-s328" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s329" xml:space="preserve">Si autem propoſitum fuerit inuenire quanta erit graui-
              <lb/>
            tas argenti viui magnitudine æqualis propoſito corpori ſo-
              <lb/>
            lido A; </s>
            <s xml:id="echoid-s330" xml:space="preserve">ratione qua ſupta, non inuenietur ipſa grauitas, quo-
              <lb/>
            niam nullum corpus demiſſum in argentum viuum fertur
              <lb/>
            deorſum, niſi aurum, aurum vero in ipſo argento viuo perrum-
              <lb/>
            pitur, ſed qua ratione inuenienda ſit ipſa argenti viui graui-
              <lb/>
            tas, dicemus ad finem exempli propoſitionis decimæquartæ.</s>
            <s xml:id="echoid-s331" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s332" xml:space="preserve">Quomodo ponderanda ſint corpora ſolida in aqua.</s>
            <s xml:id="echoid-s333" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s334" xml:space="preserve">COrpus quod ponderandum proponitur ſeta equina ex altera li-
              <lb/>
            bræ lance appendatur, in altera lance ponantur pondera, & </s>
            <s xml:id="echoid-s335" xml:space="preserve">cor-
              <lb/>
            pus appenſum demittatur in aquam, ita vt in aqua libere pendeat, ne-
              <lb/>
            que lancem, cui appenſum est corpus, neque aliam in qua ſunt pondera
              <lb/>
            aqua contingat, & </s>
            <s xml:id="echoid-s336" xml:space="preserve">ita ponderetur propoſitum corpus, ac ſi in aere pen
              <lb/>
            deret.</s>
            <s xml:id="echoid-s337" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s338" xml:space="preserve">Dixi ſeta equina corpus ponder andum debere appendi, quia fere
              <lb/>
            æque grauis eſt atque aqua, & </s>
            <s xml:id="echoid-s339" xml:space="preserve">ideo nihil addet, vel minuet grauita-
              <lb/>
            tis in ipſo corpore ponderando.</s>
            <s xml:id="echoid-s340" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s341" xml:space="preserve">Quod ſi corpus ponderandum fuerit, tam graue, vt ſeta ſimplici ſu-
              <lb/>
            stineri nequeat, appendatur pluribus ſimul iunctis ſetis, & </s>
            <s xml:id="echoid-s342" xml:space="preserve">ne aliquid
              <lb/>
            grauitatis ſetarum coniunctio addat corpori ponderando, ponantur
              <lb/>
            in altera lance totidem ſetæ æquales eis, quæ ex lance, cui appenſum eſt
              <lb/>
            corpus pendent, vſque ad corpus appenſum, hac igitur ſetarum addi-
              <lb/>
            tione æque ponderabunt lances, & </s>
            <s xml:id="echoid-s343" xml:space="preserve">quamuis illæ ſetæ, quibus appen-
              <lb/>
            ſum est corpus, ſint longiores, quam aliæ alteri lanci additæ, longitudi-
              <lb/>
            ne partium, quibus ligatum est corpus, tamen quoniam illæ partes
              <lb/>
            æque graues ſunt, atque aqua, exiſtentes cum ipſo corpore in aqua, nul-
              <lb/>
            lam grauitatem habebunt, & </s>
            <s xml:id="echoid-s344" xml:space="preserve">ideo illæ ſetæ quæ alias ſuperant dictis
              <lb/>
            partibus, & </s>
            <s xml:id="echoid-s345" xml:space="preserve">ſi longiores, non erunt grauiores quam aliæ, existenti-
              <lb/>
            bus, nempe, vt dictum eſt, illis partibus cum ipſo corpore in aqua Sic
              <lb/>
            igitur in aqua ponderanda erunt ſolida corpora, quod animaduertiſſe
              <lb/>
            fuit operæ pretium.</s>
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