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

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[51] A. Abacus B. Craßi-tudo imi ſcapi colũ næ. C. Craßi-tudo hypo trachelij. D. Contra ctura frõ-tis abaci. A B C D
[52] A. Modu-lus ex imi ſcapicolũ næ ſum-ptus. B. Voluta. C. Folium. D. Flos. E. Caulicu li. F. Abacus F D F B E E B C C C C A A
[Figure 53]
[Figure 54]
[Figure 55]
[Figure 56]
[Figure 57]
[Figure 58]
[59] Proslambano-menos. Hypate hypaton Parhypate hypaton Lichanos hypaton Hypate meſon Parhypate meſon Lichanos meſon Meſe Trite ſynemmenon Paranete ſynemmenon Nete ſynemmenon Parameſe Trite diezeugmenon Paranete diezeugmenon Nete diezeugmenon Trite hyperboleon Paranete hyperboleon Nete hyperboleon BT AH C T D T E AH T F T H AT T S T H AT T H AT T
[Figure 60]
[61] A B C D
[Figure 62]
[Figure 63]
[Figure 64]
[Figure 65]
[Figure 66]
[Figure 67]
[Figure 68]
[Figure 69]
[Figure 70]
[Figure 71]
[Figure 72]
[Figure 73]
[Figure 74]
[Figure 75]
[Figure 76]
[Figure 77]
[Figure 78]
[79] ANALEMMA AX ON LINEA PLANITIEI. A B C E F G H I K L M N O P R S V X
[Figure 80]
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          <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
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            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
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            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
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            ergo opus fuerit eum duplicare, & </s>
            <s xml:id="echoid-s4227" xml:space="preserve">areampedum ducentorum item ex
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            paribus lateribus facere: </s>
            <s xml:id="echoid-s4228" xml:space="preserve">quærendum erit, quàm magnum latus eius qua-
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            drati fiat, ut exeo ducenti pedes duplicationibus areæ reſpondeant. </s>
            <s xml:id="echoid-s4229" xml:space="preserve">Id au
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            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
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            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-
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            catur numero ineo quadrato lõgo & </s>
            <s xml:id="echoid-s4239" xml:space="preserve">lato pedes decem, quæ fuerit, linea
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            ab angulo ad angulum diagonios perducatur, uti diuidatur in duo trigo-
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            na æqua magnitudine, ſingula areæ pedum quinquagenum, ad eius lineæ
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            diagonalis longitudinem, locus quadratus paribus lateribus deſcribatur.
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            </s>
            <s xml:id="echoid-s4240" xml:space="preserve">Ita quàm magna duo trigona, in minore quadrato quinquagenũ pedum,
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            linea diagonica fuerint deſignata, eadem magnitudine & </s>
            <s xml:id="echoid-s4241" xml:space="preserve">codem pedum
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            numero quatuor in maiore erunt effecta. </s>
            <s xml:id="echoid-s4242" xml:space="preserve">Hac ratione duplicatio gram-
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            micis rationibus à Platonc, uti eſt ſchema ſubſcriptum, fuit explic ata.</s>
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