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.] P
[52.] Q.
[53.] R.
[54.] S.
[55.] T.
[56.] V
[57.] X.
[58.] Z.
[59.] MENDAE QVAE OBITER IRREPSERVNT: VNA cum Coniecturis ſuper loca aliquot deprauata.
[60.] IN IVL. FRONTINO.
[61.] FINISH.
[62.] DE ARCHITECTVRA, LIBER PRIMVS.
[63.] QVID SIT ARCHITECTVRA, ET De architectis inſtituendis. CAPVT. I.
[64.] EX QVIBVS REBVS ARCHITE-ctur a conſtet. CAPVT. II.
[65.] DE PARTIBVS ARCHITECTVRAE IN PRI-uatorum & publicorum ædificiorum diſtributio-nibus, & gnomonices & machinationis. CAP. III.
[66.] DE ELECTIONE LOCORVM SALVBRI um, & quæ obſint ſalubritati, & unde lumina capiantur. CAP. IIII.
[67.] DE FVNDAMENTIS MVRORVM & turrium. CAP. V.
[68.] MOENIVM ATQVE TVRRIVM murorum figura.
[69.] FVNDAMENTI PECTINATIM FACTI uelutiſerræ dentes eſſe ſolent.
[70.] DE DIVISIONE OPERVM, QVAE INTRA muros ſunt, & eorum diſpoſitione, ut uentorum noxij fla-tus uitentur. CAPVT VI.
[71.] AEOLIPILARVM FIGVRA.
[72.] PALLADIA ATHENIENSIVM TVRRIS MARMO-reaoctogena andronici Cyrreſtis perſtructa. C.C.C.M.O.
[73.] TRITONIS FIGVR A.
[74.] De electione locorvm ad uſum communem ciuitatis. CAP. VII.
[75.] M@ VITRVVII DE ARCHITECTVRA, LIBER SECVNDVS.
[76.] DE PRISCORVM HOMINVM VITA, ET de initijs humanitatis at tectorum, & incrementis corum. CAPVT I.
[77.] AVREA AETAS QVAE PRISCORVM HOMI-num uita humanitatis{qúe} initium, & propter ignem ſermo-num procreatio ac architecturæ principium fuiſſe dicuntur.
[78.] EX PRIMA MVNDI HOMINVM AETATE ædificatio, multienim ab animalibus exempla uitæ conſeruamen{qúe} imitati ſunt. & cet.
[79.] PRISCORVM HOMINVM COLCHORVM at Barbarorum materiata conſtructio.
[80.] DE PRINCIPIIS RERVM SECVNDVM Philoſophorum opiniones. CAP. II.
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        <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
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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
              <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-
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            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-
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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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