Vitruvius, M. Vitruvii ... de architectura libri decem, ad Augustum Caesarem accuratiß conscripti: & nunc primum in Germania qua potuit diligentia excusi, atq[ue] hinc inde schematibus non iniucundis exornati

Page concordance

< >
Scan Original
71 15
72 16
73 17
74 18
75 19
76 20
77 21
78 22
79 23
80 24
81 25
82 26
83 27
84 28
85 29
86 30
87 31
88 32
89 33
90 34
91 35
92 36
93 37
94 38
95 39
96 40
97 41
98 42
99 43
100 44
< >
page |< < (206) of 373 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div234" type="section" level="1" n="180">
          <pb o="206" file="0260" n="260" rhead="M. VITRVVII"/>
        </div>
        <div xml:id="echoid-div235" type="section" level="1" n="181">
          <head xml:id="echoid-head185" xml:space="preserve">PLATONIS INVENTVM DE AGRO
            <lb/>
          metiendo. CAPTT I.</head>
          <p style="it">
            <s xml:id="echoid-s4222" xml:space="preserve">LOCVS aut ager paribus lateribus, ſi erit quadratus, eumque
              <lb/>
            oportuerit iterum ex paribus lateribus duplicare, quia id genere
              <lb/>
            numeri, ac multiplicationibus non inuenitur, ex deſcriptionibus linearum
              <lb/>
            emendatis reperitur. </s>
            <s xml:id="echoid-s4223" xml:space="preserve">Est autem eius reihæc demonſtratio. </s>
            <s xml:id="echoid-s4224" xml:space="preserve">Quadratus
              <lb/>
            locus, quierit longus & </s>
            <s xml:id="echoid-s4225" xml:space="preserve">latus pedes denos, efficit areæ pedes centum. </s>
            <s xml:id="echoid-s4226" xml:space="preserve">Si
              <lb/>
            ergo opus fuerit eum duplicare, & </s>
            <s xml:id="echoid-s4227" xml:space="preserve">areampedum ducentorum item ex
              <lb/>
            paribus lateribus facere: </s>
            <s xml:id="echoid-s4228" xml:space="preserve">quærendum erit, quàm magnum latus eius qua-
              <lb/>
            drati fiat, ut exeo ducenti pedes duplicationibus areæ reſpondeant. </s>
            <s xml:id="echoid-s4229" xml:space="preserve">Id au
              <lb/>
            tem numero nemo poteſt inuenire: </s>
            <s xml:id="echoid-s4230" xml:space="preserve">nã ſi.</s>
            <s xml:id="echoid-s4231" xml:space="preserve">xiiij. </s>
            <s xml:id="echoid-s4232" xml:space="preserve">conſtituentur, erunt mul
              <lb/>
            tiplicatipedes. </s>
            <s xml:id="echoid-s4233" xml:space="preserve">cxcvi.</s>
            <s xml:id="echoid-s4234" xml:space="preserve">Si.</s>
            <s xml:id="echoid-s4235" xml:space="preserve">xv.</s>
            <s xml:id="echoid-s4236" xml:space="preserve">pedes.</s>
            <s xml:id="echoid-s4237" xml:space="preserve">ccxxv. </s>
            <s xml:id="echoid-s4238" xml:space="preserve">Ergo quoniam id non expli-
              <lb/>
            catur numero ineo quadrato lõgo & </s>
            <s xml:id="echoid-s4239" xml:space="preserve">lato pedes decem, quæ fuerit, linea
              <lb/>
            ab angulo ad angulum diagonios perducatur, uti diuidatur in duo trigo-
              <lb/>
            na æqua magnitudine, ſingula areæ pedum quinquagenum, ad eius lineæ
              <lb/>
            diagonalis longitudinem, locus quadratus paribus lateribus deſcribatur.
              <lb/>
            </s>
            <s xml:id="echoid-s4240" xml:space="preserve">Ita quàm magna duo trigona, in minore quadrato quinquagenũ pedum,
              <lb/>
            linea diagonica fuerint deſignata, eadem magnitudine & </s>
            <s xml:id="echoid-s4241" xml:space="preserve">codem pedum
              <lb/>
            numero quatuor in maiore erunt effecta. </s>
            <s xml:id="echoid-s4242" xml:space="preserve">Hac ratione duplicatio gram-
              <lb/>
            micis rationibus à Platonc, uti eſt ſchema ſubſcriptum, fuit explic ata.</s>
            <s xml:id="echoid-s4243" xml:space="preserve"/>
          </p>
          <figure number="76">
            <image file="0260-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0260-01"/>
          </figure>
        </div>
      </text>
    </echo>
Impressum