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

List of thumbnails

< >
61
61 (49) 		62
62 (50)
63
63 (51) 		64
64 (52)
65
65 (53) 		66
66 (54)
67
67 (55) 		68
68 (56)
69
69 (57) 		70
70 (58)
< >
page |< < (50) of 89 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div65" type="section" level="1" n="37">
          <pb o="50" file="0062" n="62" rhead="PROMOTVS"/>
          <p style="it">
            <s xml:id="echoid-s932" xml:space="preserve">Quæro denique magnitudinem diametri ſpbæræ ctanneæ, graui-
              <lb/>
            tatem babentis 38, lib. </s>
            <s xml:id="echoid-s933" xml:space="preserve">in linea 38, lib. </s>
            <s xml:id="echoid-s934" xml:space="preserve">ſub titulo magnitudinis dia-
              <lb/>
            metri ſpbæræ ctanneæ, datur quæſita diametri magnitudo 6, ad
              <lb/>
            vnguem.</s>
            <s xml:id="echoid-s935" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s936" xml:space="preserve">Notandum autem ect, quod numeri, qui diametrorum magnitu-
              <lb/>
            dines denotant, non ſunt veri, ac certi, ſed veris bene proximi, quoniã
              <lb/>
            numeri, quorum ipſi ſunt radices cubicæ, non ſunt cubi, & </s>
            <s xml:id="echoid-s937" xml:space="preserve">ideo ipſæ
              <lb/>
            radices non explicantur accurate, ſed vel veris maiores, velminores,
              <lb/>
            atque vt cognoſcantur quæ ſint maiores, queue minores, maioribus
              <lb/>
            duo puncta adiecimus, minoribus vnum, accuratis nullum. </s>
            <s xml:id="echoid-s938" xml:space="preserve">inter om-
              <lb/>
            nes autem vnus ect accuratus, is ſcilicet, qui magnitudinem indicat
              <lb/>
            diametri ſpbæræ ctanneæ, grauitatem babentis 38, lib.</s>
            <s xml:id="echoid-s939" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s940" xml:space="preserve">De compoſitione huius Tabulæ.</s>
            <s xml:id="echoid-s941" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s942" xml:space="preserve">Huius tabulæ compoſitio pendet ex præcedenti tabula, & </s>
            <s xml:id="echoid-s943" xml:space="preserve">ex pro-
              <lb/>
            poſ. </s>
            <s xml:id="echoid-s944" xml:space="preserve">17, buius, ſienim fiat vt grauitas ſphæræ ctanneæ, diametrum
              <lb/>
            babentis vnius vnciæ, id ect, vt grana 1216, ad grauitatem ſphæræ
              <lb/>
            vnius libræ, idect, ad grana 6912, ita cubus diametri vnius vnciæ,
              <lb/>
            boc eſt, ita 1, ad alium numerum, qui ſit 5 {13/19} is erit cubus diametri
              <lb/>
            ſpbæræ ctanneæ, grauitatem babentis 1, lib. </s>
            <s xml:id="echoid-s945" xml:space="preserve">demonctratum enim
              <lb/>
            ect prop. </s>
            <s xml:id="echoid-s946" xml:space="preserve">17, buius, ſpbæras eiuſdem generis inter ſe eſſe in grauitate,
              <lb/>
            vt diametrorum cubi in magnitudine; </s>
            <s xml:id="echoid-s947" xml:space="preserve">quare radix cubica numeri
              <lb/>
            5 {13/19}, dabit ipſam diametrum, ſed quoniam numerus 5 {13/19}, non ect
              <lb/>
            præciſe cubus, eius radix non explicabitur accurata, ſed vt explicetur
              <lb/>
            veræ bene proxima, multiplicetur 5 {13/19}, per 1000000. </s>
            <s xml:id="echoid-s948" xml:space="preserve">& </s>
            <s xml:id="echoid-s949" xml:space="preserve">ex producto
              <lb/>
            5684210 {10/19}, neglecto fracto {10/19}, eruatur radix, tanquam ex accu-
              <lb/>
            rato numero cubo, ea erit 178, proxime, & </s>
            <s xml:id="echoid-s950" xml:space="preserve">erit centupla radicis nu-
              <lb/>
            meri 5 {13/19}, nam numerus 1000000, per quem fuit multiplicatus
              <lb/>
            5 {13/19}, cubus eſt ex 100; </s>
            <s xml:id="echoid-s951" xml:space="preserve">magnitudo igitur diametri ſpbæræ ſtanneæ,
              <lb/>
            grauitatem babentis 1, lib. </s>
            <s xml:id="echoid-s952" xml:space="preserve">erit 1 {78/100}. </s>
            <s xml:id="echoid-s953" xml:space="preserve">reliquarum autem ex ſtanno
              <lb/>
            ſpbærarum, grauitatem babentium duplam primæ, triplam, quadru-
              <lb/>
            plam & </s>
            <s xml:id="echoid-s954" xml:space="preserve">c. </s>
            <s xml:id="echoid-s955" xml:space="preserve">ita inuenientur diametri.</s>
            <s xml:id="echoid-s956" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s957" xml:space="preserve">Duplum numeri 5684210 {10/19}, id ect 11368421 {1/19}, erit cubus
              <lb/>
            centupli diametri ſpberæ ctanneæ, grauitatem babentis duplam pri-
              <lb/>
            mæ, boc ect 2, lib. </s>
            <s xml:id="echoid-s958" xml:space="preserve">ex ſupra nominata enim prop. </s>
            <s xml:id="echoid-s959" xml:space="preserve">17, buius, eſt vt gra-
              <lb/>
            uitas ſpbæræ vnius libræ, ad grauitatem ſpbæræ duarum librarum,
              <lb/>
            ita cubus diametri primæ ſpbæræ, ad cubum diametri ſecundæ. </s>
            <s xml:id="echoid-s960" xml:space="preserve">Si
              <lb/>
            vero triplicetur numerus 5684210 {10/19}, eius triplum, quod ect
              <lb/>
            17052631 {11/19}, erit cubus centupli diametri ſpbæræ ſtanneæ, graui-
              <lb/>
            statem babentis triplam primæ, idect 3, lib. </s>
            <s xml:id="echoid-s961" xml:space="preserve">& </s>
            <s xml:id="echoid-s962" xml:space="preserve">ſi quadruplicetur, </s>
          </p>
        </div>
      </text>
    </echo>
Impressum