Vitruvius, De architectura libri decem ad Caesarem Augustum, omnibus omnium editionibus longè emendatiores, collatis veteribus exemplis

Table of figures

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[81] Lateranenſis & Mutinenſium marmorum ſormæ.
[Figure 82]
[83] Incumbæ forma.
[84] Perpendiculi figura.
[85] Spicatum opus.
[86] Teſtudo.
[87] Fornix.
[88] Hemiſphærium.
[89] Lunulata camera.
[90] Libra, ſiue libella.
[Figure 91]
[92] Scalæ cochlides.
[93] Scalæ rectæ itionis.
[94] Hemicylindri repræſentatio.Y B C H B K N M P A D C
[95] Meſolabii affiguratio.B D G C B F D H M G Q N T O F B M P
[96] Aſpectuum figura.A D aſpect{us} trigon{us}. A C aſpect{us} tetragon{us}. A B aſpect{us} hexagon{us}. A E aſpect{us} diametralis. C D B E A
[97] Cuneoli in formam lapidis coniecti cum anſa.
[98] Ergatæ.
[Figure 99]
[100] Sucula.
[101] Libra.
[102] Statera.
[Figure 103]
[Figure 104]
[Figure 105]
[Figure 106]
[Figure 107]
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            <s xml:id="echoid-s20185" xml:space="preserve">
              <pb o="364" file="386" n="386" rhead="M. VITRVVII POLL."/>
            c d. </s>
            <s xml:id="echoid-s20186" xml:space="preserve">quum ſit neceſſe d. </s>
            <s xml:id="echoid-s20187" xml:space="preserve">& </s>
            <s xml:id="echoid-s20188" xml:space="preserve">m. </s>
            <s xml:id="echoid-s20189" xml:space="preserve">ſigna à c. </s>
            <s xml:id="echoid-s20190" xml:space="preserve">cum fastigio æqualiter distare, eò quòd
              <lb/>
            in circulo ab vno & </s>
            <s xml:id="echoid-s20191" xml:space="preserve">eodem ſigno in coni ſuperficie circunſcripto poſita ſunt inter
              <lb/>
            b c. </s>
            <s xml:id="echoid-s20192" xml:space="preserve">igitur & </s>
            <s xml:id="echoid-s20193" xml:space="preserve">c d. </s>
            <s xml:id="echoid-s20194" xml:space="preserve">inuenta erunt duo media proportionalia c k. </s>
            <s xml:id="echoid-s20195" xml:space="preserve">& </s>
            <s xml:id="echoid-s20196" xml:space="preserve">c n. </s>
            <s xml:id="echoid-s20197" xml:space="preserve">quod ſue-
              <lb/>
            rat ostendendum. </s>
            <s xml:id="echoid-s20198" xml:space="preserve">Cæterùm quoniam problema, non theorema istud eſt, non alienum
              <lb/>
            erit explicare, quo pacto istiuſmodi media per hanc ipſam ratiocinationem non tam
              <lb/>
            intelligi, quàm re ipſa inueniri queant, atque inuentis quomodo vti poßim{us}: </s>
            <s xml:id="echoid-s20199" xml:space="preserve">& </s>
            <s xml:id="echoid-s20200" xml:space="preserve">ſi
              <lb/>
            hoc Eratosthenes neget, per hanc Architæ traditionem poſſe fieri. </s>
            <s xml:id="echoid-s20201" xml:space="preserve">Statuam igitur
              <lb/>
            ad libellam planitiem, deſcriptis\’ in ea, circulo b c d f. </s>
            <s xml:id="echoid-s20202" xml:space="preserve">ſuper centrum q. </s>
            <s xml:id="echoid-s20203" xml:space="preserve">triangu-
              <lb/>
            lo b c g. </s>
            <s xml:id="echoid-s20204" xml:space="preserve">linea c d. </s>
            <s xml:id="echoid-s20205" xml:space="preserve">ac dimetiente b c. </s>
            <s xml:id="echoid-s20206" xml:space="preserve">quæ omnia propoſui in plano deſcribi oportere,
              <lb/>
            inſuper\’ à ſigno c. </s>
            <s xml:id="echoid-s20207" xml:space="preserve">linea c h. </s>
            <s xml:id="echoid-s20208" xml:space="preserve">quæ ſit æqualis b q. </s>
            <s xml:id="echoid-s20209" xml:space="preserve">& </s>
            <s xml:id="echoid-s20210" xml:space="preserve">congruat ſemicirculo b c d.
              <lb/>
            </s>
            <s xml:id="echoid-s20211" xml:space="preserve">His inquam ſic diſpoſitis, conſtruam hemicylindrum, cui{us} axis non ſit minor b g. </s>
            <s xml:id="echoid-s20212" xml:space="preserve">
              <lb/>
            baſis verò ſit ſemicircul{us} b c d. </s>
            <s xml:id="echoid-s20213" xml:space="preserve">& </s>
            <s xml:id="echoid-s20214" xml:space="preserve">huic ſemicirculo hemicylindrum imponam,
              <lb/>
            atque à ſigno b. </s>
            <s xml:id="echoid-s20215" xml:space="preserve">quod erit in circunſerentia ſemicirculi, per hemicylindri conue-
              <lb/>
            xum erigam lineam, quæ ad ſubiectum planum perpendicularis ſit, & </s>
            <s xml:id="echoid-s20216" xml:space="preserve">æqualis
              <lb/>
            c h. </s>
            <s xml:id="echoid-s20217" xml:space="preserve">hoc eſt b q. </s>
            <s xml:id="echoid-s20218" xml:space="preserve">& </s>
            <s xml:id="echoid-s20219" xml:space="preserve">ſit ea h s. </s>
            <s xml:id="echoid-s20220" xml:space="preserve">tum ab s. </s>
            <s xml:id="echoid-s20221" xml:space="preserve">ſigno ad ſigna b. </s>
            <s xml:id="echoid-s20222" xml:space="preserve">& </s>
            <s xml:id="echoid-s20223" xml:space="preserve">c. </s>
            <s xml:id="echoid-s20224" xml:space="preserve">extrema dimetien-
              <lb/>
            tis circuli admota per hemicylindri conuexum veluti Lesbia aliqua regula, vel
              <lb/>
            pro ea, linea, hoc eſt filo tenui deducta, deſcribam per id conuexum cylindricam li-
              <lb/>
            neam, quæ ſit b s c. </s>
            <s xml:id="echoid-s20225" xml:space="preserve">rurſ{us}\’ in eo latere parallelogrammum hemicylindri, cui{us} al-
              <lb/>
            terum extremum inſidet ſigno b. </s>
            <s xml:id="echoid-s20226" xml:space="preserve">ab eodem ſigno ad altitudinem b g. </s>
            <s xml:id="echoid-s20227" xml:space="preserve">ſignabo ſigne
              <lb/>
            g. </s>
            <s xml:id="echoid-s20228" xml:space="preserve">& </s>
            <s xml:id="echoid-s20229" xml:space="preserve">ab hoc ad d. </s>
            <s xml:id="echoid-s20230" xml:space="preserve">ſignum in plano poſitum per conuexam ſuperficiem hemicylin-
              <lb/>
            dri ducam lineam cylindricæ ſimilem, quæ cylindricam b s c. </s>
            <s xml:id="echoid-s20231" xml:space="preserve">ſecabit in aliquo ſi-
              <lb/>
            gno, & </s>
            <s xml:id="echoid-s20232" xml:space="preserve">ſecet in ſigno k à quo in circunferentiam ſemicirculi b c d. </s>
            <s xml:id="echoid-s20233" xml:space="preserve">lineæ verò
              <lb/>
            h s. </s>
            <s xml:id="echoid-s20234" xml:space="preserve">deducam parallelum, quæ ſit k n. </s>
            <s xml:id="echoid-s20235" xml:space="preserve">& </s>
            <s xml:id="echoid-s20236" xml:space="preserve">connectam ſigna n. </s>
            <s xml:id="echoid-s20237" xml:space="preserve">& </s>
            <s xml:id="echoid-s20238" xml:space="preserve">c. </s>
            <s xml:id="echoid-s20239" xml:space="preserve">recta c n. </s>
            <s xml:id="echoid-s20240" xml:space="preserve">& </s>
            <s xml:id="echoid-s20241" xml:space="preserve">
              <lb/>
            ponam n k in plano coniunctam c n. </s>
            <s xml:id="echoid-s20242" xml:space="preserve">ad angulos rectos, & </s>
            <s xml:id="echoid-s20243" xml:space="preserve">perficiam triangulum
              <lb/>
            c n k. </s>
            <s xml:id="echoid-s20244" xml:space="preserve">ducta linea c k. </s>
            <s xml:id="echoid-s20245" xml:space="preserve">& </s>
            <s xml:id="echoid-s20246" xml:space="preserve">aſſeram præcedentem Architæ ratiocinationem eſſe ſi-
              <lb/>
            cut b c. </s>
            <s xml:id="echoid-s20247" xml:space="preserve">ad c k. </s>
            <s xml:id="echoid-s20248" xml:space="preserve">ita c k. </s>
            <s xml:id="echoid-s20249" xml:space="preserve">ad c n. </s>
            <s xml:id="echoid-s20250" xml:space="preserve">& </s>
            <s xml:id="echoid-s20251" xml:space="preserve">ſic c n. </s>
            <s xml:id="echoid-s20252" xml:space="preserve">ad c d. </s>
            <s xml:id="echoid-s20253" xml:space="preserve">quod oportebat inuenire. </s>
            <s xml:id="echoid-s20254" xml:space="preserve">Figu-
              <lb/>
            ram ſubieci.</s>
            <s xml:id="echoid-s20255" xml:space="preserve"/>
          </p>
          <figure number="94">
            <caption xml:id="echoid-caption64" xml:space="preserve">Hemicylindri repræſentatio.</caption>
            <variables xml:id="echoid-variables8" xml:space="preserve">Y B C H B K N M P A D C</variables>
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