Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

Table of contents

< >
[Item 1.]
[2.] TURNER COLLECTION
[3.] THE LIBRARY UNIVERSITY OF KEELE
[4.] GEOMETRIA INDIVISIBILIBVS CONTIN VOR VM Noua quadam ratione promota. _AVTHORE_ P. BONAVENTVRA CAVALERIO MEDIOLANEN _Ordinis S.Hieron. Olim in Almo Bononien. Archigym._ _Prim. Mathematicarum Profeſſ._ In hac poftrema edictione ab erroribus expurgata. _Ad Illuſtriſs. D. D._ MARTIVM VRSINVM PENNÆ MARCHIONEM &c.
[5.] BONONIÆ, M. DC. LIII.
[6.] _ILLVSTRISSIME_ MARCHIO
[7.] PRÆFATIO
[8.] In huius Libri Autorem.
[9.] In Librum Geometriæ.
[10.] Ad Libri Auctorem.
[11.] Ad Librum Geometriæ.
[12.] DeLibro Geometriæ.
[13.] De Libro Geometriæ.
[14.] Ad Autorem Libri Geometriæ.
[15.] CAVALERII LIBER PRIMVS. In quo præcipuè de ſectionibus Cylindricorum, & Conicorum, nec non ſimilibus figuris quædam element aria præmittuntur; ac aliquæ Pro-poſitiones lemmaticæ pro ſequen-tibus Libris oſtenduntur. DIFINITIONES. A. I.
[16.] B.
[17.] C.
[18.] A. II.
[19.] B.
[20.] C.
[21.] D.
[22.] E.
[23.] SCHOLIVM.
[24.] III.
[25.] A. IV.
[26.] COROLLARIVM.
[27.] B.
[28.] V.
[29.] VI.
[30.] VII.
< >
page |< < (2) of 569 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div17" type="section" level="1" n="16">
          <pb o="2" file="0022" n="22" rhead="GEOMETRIÆ"/>
        </div>
        <div xml:id="echoid-div18" type="section" level="1" n="17">
          <head xml:id="echoid-head27" xml:space="preserve">C.</head>
          <note position="left" xml:space="preserve">C</note>
          <p>
            <s xml:id="echoid-s242" xml:space="preserve">CVm earum vnius contactus fuetit in linea, tunc linea
              <lb/>
            contactus vocabitur baſis eiuſdem figuræ, reſpectu
              <lb/>
            cuius poterunt dici vertices puncta contactuum alterius
              <lb/>
            tangentis: </s>
            <s xml:id="echoid-s243" xml:space="preserve">vel ſi iſtius contactus pariter ſit in linea, ambæ
              <lb/>
            lineæ contactus, oppoſitæ baſes, ſumptæ reſpectu
              <lb/>
            cuiuſcumq; </s>
            <s xml:id="echoid-s244" xml:space="preserve">lineæ, cuiſint æquidiſtantes.</s>
            <s xml:id="echoid-s245" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div19" type="section" level="1" n="18">
          <head xml:id="echoid-head28" xml:space="preserve">A. II.</head>
          <note position="left" xml:space="preserve">A</note>
          <p>
            <s xml:id="echoid-s246" xml:space="preserve">CVm plana inuicem parallela tetigerint aliquod ſoli-
              <lb/>
            dum, vnumquodq; </s>
            <s xml:id="echoid-s247" xml:space="preserve">punctum contactus illius vertex
              <lb/>
            dicatur; </s>
            <s xml:id="echoid-s248" xml:space="preserve">& </s>
            <s xml:id="echoid-s249" xml:space="preserve">oppoſiti vertices puncta contactuum vtriuſque
              <lb/>
            dictorum tangentium planorum ſimul comparata: </s>
            <s xml:id="echoid-s250" xml:space="preserve">quilibet
              <lb/>
            autem vertices ſemper intelligantur aſſumpti reſpectu cu-
              <lb/>
            inſcumq. </s>
            <s xml:id="echoid-s251" xml:space="preserve">plani dictis tangentibus æquidiſtantis, quod in-
              <lb/>
            fra regula pariter appellatur.</s>
            <s xml:id="echoid-s252" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div20" type="section" level="1" n="19">
          <head xml:id="echoid-head29" xml:space="preserve">B.</head>
          <note position="left" xml:space="preserve">B</note>
          <p>
            <s xml:id="echoid-s253" xml:space="preserve">IPſa tengentia plana dicantur, oppoſita tangentia plana
              <lb/>
            eiuſdem ſolidi, reſpectu dicti plani tangentibus æqui-
              <lb/>
            diſtantis aſſumpta.</s>
            <s xml:id="echoid-s254" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div21" type="section" level="1" n="20">
          <head xml:id="echoid-head30" xml:space="preserve">C.</head>
          <note position="left" xml:space="preserve">C</note>
          <p>
            <s xml:id="echoid-s255" xml:space="preserve">CVm dictorum tangentium contactus fuerit in plano,
              <lb/>
            tunc vtriuſuis tangentium planorum plana conta-
              <lb/>
            ctus baſes dicantur, cuius reſpectu puncta contactus reli-
              <lb/>
            quitangentis plani poterunt vertices appellari, & </s>
            <s xml:id="echoid-s256" xml:space="preserve">vtriuſq;
              <lb/>
            </s>
            <s xml:id="echoid-s257" xml:space="preserve">tangentium planorum contactus plana dicentur, oppoſitæ
              <lb/>
            baſes:</s>
            <s xml:id="echoid-s258" xml:space="preserve">cum verò vtriuſque contactus fuerit in linea, oppoſi-
              <lb/>
            tæ baſes lineares ipſæ lineæ contactus vocabuntur.</s>
            <s xml:id="echoid-s259" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div22" type="section" level="1" n="21">
          <head xml:id="echoid-head31" xml:space="preserve">D.</head>
          <note position="left" xml:space="preserve">D</note>
          <p>
            <s xml:id="echoid-s260" xml:space="preserve">CVm figuræ planæ oppoſitis tangentibus vtcumq. </s>
            <s xml:id="echoid-s261" xml:space="preserve">du-
              <lb/>
            ctis, & </s>
            <s xml:id="echoid-s262" xml:space="preserve">ſolidę oppoſitis planis tangentibus, inciderit
              <lb/>
            perpendiculariter recta linea in eadem tangentia termina-
              <lb/>
            ta, dicetur hæc altitudo propoſitæ figuræ planæ, vel ſolidę,
              <lb/>
            reſpectu dictorum tangentium, vel cuiuſcumque eidem
              <lb/>
            æquidiſtantis, aſſumpta.</s>
            <s xml:id="echoid-s263" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>