Valerio, Luca, De centro gravitatis solidorum, 1604

List of thumbnails

< >
111
111 		112
112
113
113 		114
114
115
115 		116
116
117
117 		118
118
119
119 		120
120
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/117.jpg" pagenum="30"/>
              tur in parabola ABC rectis ad diametrum ordinatim ap­
                <lb/>
              plicatis eſt vt BM ad BD longitudine, ita MH ad AD
                <lb/>
              potentia: hoc eſt, ita circulus, cuius diameter HMN, ad
                <lb/>
              circulum, cuius diameter ADC, hoc eſt ita cylindrus HL,
                <lb/>
              ad cylindrum AF propter æqualitatem altitudinum: ſed
                <lb/>
              vt BM ad BD, ita eſt GM ad AD, propter ſimilitudinem
                <lb/>
              triangulorum, hoc eſt ita
                <expan abbr="parallelogrãmum">parallelogrammum</expan>
              GK ad AF, pa­
                <lb/>
              rallelogrammum; ergo vt parallelogrammum GK ad paral
                <lb/>
                <expan abbr="lelogrãmum">lelogrammum</expan>
              AF, ita eſt cylindrus HL ad cylindrum AF.
                <lb/>
              </s>
              <s>Similiter oſtenderemus reliqua parallelogramma, quæ ſunt
                <lb/>
                <figure id="id.043.01.117.1.jpg" xlink:href="043/01/117/1.jpg" number="89"/>
                <lb/>
              circa
                <expan abbr="triãgulum">triangulum</expan>
              ABC eſse cum reliquis cylindris, qui ſunt
                <lb/>
              circa conoides ABC bina ſumpta prout inter ſe reſpon­
                <lb/>
              dent in eadem proportione; ſemper igitur componendo, &
                <lb/>
              ex æquali erit vt tota figura triangulo ABC circumſcripta
                <lb/>
              ad parallelogrammum AF, ita figura conoidi circumſcri­
                <lb/>
              pta ad AF cylindrum: ſed vt parallelogrammum AF, ad
                <lb/>
              parallelogrammum AE, ita eſt cylindrus AF ad cylindrum
                <lb/>
              AE, propter æqualitatem omnifariam ſumptarum altitu­
                <lb/>
              dinum; ex æquali igitur erit vt figura triangulo ABC cir­
                <lb/>
              cumſcripta ad parallelogrammum AE, ita figura conoidi </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum