Vitruvius, De architectura libri decem, 1567

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          <div xml:id="echoid-div718" type="section" level="2" n="135">
            <p style="it">
              <s xml:id="echoid-s20946" xml:space="preserve">
                <pb o="277" file="514.01.309" n="309" rhead="NONVS."/>
              eſſe poſuimus, ſed a b. </s>
              <s xml:id="echoid-s20947" xml:space="preserve">ex constructione ſupra c b e. </s>
              <s xml:id="echoid-s20948" xml:space="preserve">adrectos cadit ſimiliter c b. </s>
              <s xml:id="echoid-s20949" xml:space="preserve">perpendicularis eſt
                <lb/>
              ipſi d b g. </s>
              <s xml:id="echoid-s20950" xml:space="preserve">ex corollario ergo octauæ ſexti b d. </s>
              <s xml:id="echoid-s20951" xml:space="preserve">eſt comparabilis illi, quæ cadit inter c b. </s>
              <s xml:id="echoid-s20952" xml:space="preserve">& </s>
              <s xml:id="echoid-s20953" xml:space="preserve">b c. </s>
              <s xml:id="echoid-s20954" xml:space="preserve">pa
                <lb/>
              ri quoqueratione b c. </s>
              <s xml:id="echoid-s20955" xml:space="preserve">eſt media inter b d. </s>
              <s xml:id="echoid-s20956" xml:space="preserve">& </s>
              <s xml:id="echoid-s20957" xml:space="preserve">b g. </s>
              <s xml:id="echoid-s20958" xml:space="preserve">Poſita igitur ratione & </s>
              <s xml:id="echoid-s20959" xml:space="preserve">proportione communi li-
                <lb/>
              neæ b d. </s>
              <s xml:id="echoid-s20960" xml:space="preserve">& </s>
              <s xml:id="echoid-s20961" xml:space="preserve">lineæ b c. </s>
              <s xml:id="echoid-s20962" xml:space="preserve">ſequitur quod g b. </s>
              <s xml:id="echoid-s20963" xml:space="preserve">eam comparationem habebit lineæ b d. </s>
              <s xml:id="echoid-s20964" xml:space="preserve">quam habebit c
                <lb/>
              b. </s>
              <s xml:id="echoid-s20965" xml:space="preserve">ipſi c b. </s>
              <s xml:id="echoid-s20966" xml:space="preserve">quoniam utraq́; </s>
              <s xml:id="echoid-s20967" xml:space="preserve">proportio, ut patuit, eſt ut b d. </s>
              <s xml:id="echoid-s20968" xml:space="preserve">ad b c. </s>
              <s xml:id="echoid-s20969" xml:space="preserve">ex undecima quinti. </s>
              <s xml:id="echoid-s20970" xml:space="preserve">igitur ut g
                <lb/>
              b ad b d ita b d. </s>
              <s xml:id="echoid-s20971" xml:space="preserve">ad b c. </s>
              <s xml:id="echoid-s20972" xml:space="preserve">ita c d. </s>
              <s xml:id="echoid-s20973" xml:space="preserve">ad b e. </s>
              <s xml:id="echoid-s20974" xml:space="preserve">Datis ergo duabus rectis b g. </s>
              <s xml:id="echoid-s20975" xml:space="preserve">& </s>
              <s xml:id="echoid-s20976" xml:space="preserve">e b. </s>
              <s xml:id="echoid-s20977" xml:space="preserve">inuentæfue-
                <lb/>
                <figure xlink:label="fig-514.01.309-01" xlink:href="fig-514.01.309-01a" number="110">
                  <caption xml:id="echoid-caption37" xml:space="preserve">Veſtigium meſolabij Architæ.</caption>
                </figure>
                <figure xlink:label="fig-514.01.309-02" xlink:href="fig-514.01.309-02a" number="111">
                  <caption xml:id="echoid-caption38" xml:space="preserve">Orthographia meſolabij Architæ.</caption>
                </figure>
                <note position="left" xlink:label="note-514.01.309-01" xlink:href="note-514.01.309-01a" xml:space="preserve">10</note>
                <note position="left" xlink:label="note-514.01.309-02" xlink:href="note-514.01.309-02a" xml:space="preserve">20</note>
                <note position="left" xlink:label="note-514.01.309-03" xlink:href="note-514.01.309-03a" xml:space="preserve">30</note>
              runt duæmediæ proportione reſpondentes. </s>
              <s xml:id="echoid-s20978" xml:space="preserve">b d. </s>
              <s xml:id="echoid-s20979" xml:space="preserve">& </s>
              <s xml:id="echoid-s20980" xml:space="preserve">b e. </s>
              <s xml:id="echoid-s20981" xml:space="preserve">atque ea eſt Platonis inuentio. </s>
              <s xml:id="echoid-s20982" xml:space="preserve">Instrumentum
                <lb/>
              uero huiuſmodi eſt. </s>
              <s xml:id="echoid-s20983" xml:space="preserve">Esto norma k m l. </s>
              <s xml:id="echoid-s20984" xml:space="preserve">in cuius altero ancone accommodetur regula n o ad rectos angu-
                <lb/>
              los quæ progredi, ac regredi poßit. </s>
              <s xml:id="echoid-s20985" xml:space="preserve">hoc ſimplicißimo instrumento duæ mediæ comparabiles facile inue-
                <lb/>
                <note position="left" xlink:label="note-514.01.309-04" xlink:href="note-514.01.309-04a" xml:space="preserve">40</note>
              nientur.</s>
              <s xml:id="echoid-s20986" xml:space="preserve">eſto e b. </s>
              <s xml:id="echoid-s20987" xml:space="preserve">& </s>
              <s xml:id="echoid-s20988" xml:space="preserve">b g. </s>
              <s xml:id="echoid-s20989" xml:space="preserve">ut in demonſtratione poſuimus in b ad rectum angulum cadentes, & </s>
              <s xml:id="echoid-s20990" xml:space="preserve">produ-
                <lb/>
              cantur ut ſupra. </s>
              <s xml:id="echoid-s20991" xml:space="preserve">tunc accommodetur organum lineis c b. </s>
              <s xml:id="echoid-s20992" xml:space="preserve">& </s>
              <s xml:id="echoid-s20993" xml:space="preserve">b g. </s>
              <s xml:id="echoid-s20994" xml:space="preserve">ita ut latus normæ k m. </s>
              <s xml:id="echoid-s20995" xml:space="preserve">cadat in g.
                <lb/>
              </s>
              <s xml:id="echoid-s20996" xml:space="preserve">& </s>
              <s xml:id="echoid-s20997" xml:space="preserve">angulus m. </s>
              <s xml:id="echoid-s20998" xml:space="preserve">applicetur lineæ b c. </s>
              <s xml:id="echoid-s20999" xml:space="preserve">angulus o. </s>
              <s xml:id="echoid-s21000" xml:space="preserve">ſit ſupra b d. </s>
              <s xml:id="echoid-s21001" xml:space="preserve">& </s>
              <s xml:id="echoid-s21002" xml:space="preserve">regula mobilis per punctum e ue-
                <lb/>
              niat, ita quod tamen ſuperponatur puncto e & </s>
              <s xml:id="echoid-s21003" xml:space="preserve">o cadat ſupra d. </s>
              <s xml:id="echoid-s21004" xml:space="preserve">ita collocato organo habebis duas me-
                <lb/>
              dias b d. </s>
              <s xml:id="echoid-s21005" xml:space="preserve">& </s>
              <s xml:id="echoid-s21006" xml:space="preserve">b c. </s>
              <s xml:id="echoid-s21007" xml:space="preserve">comparabiles inter duas datas e b. </s>
              <s xml:id="echoid-s21008" xml:space="preserve">& </s>
              <s xml:id="echoid-s21009" xml:space="preserve">b g. </s>
              <s xml:id="echoid-s21010" xml:space="preserve">cuius rei eadem, quæ ſupra eſt demon-
                <lb/>
              ſtratio. </s>
              <s xml:id="echoid-s21011" xml:space="preserve">Nicomedes alia uia. </s>
              <s xml:id="echoid-s21012" xml:space="preserve">& </s>
              <s xml:id="echoid-s21013" xml:space="preserve">inſtrumento utebatur, ſubtiliter ſanè, & </s>
              <s xml:id="echoid-s21014" xml:space="preserve">maxime ad artiſicum utilitatẽ accõ
                <lb/>
              modato. </s>
              <s xml:id="echoid-s21015" xml:space="preserve">Inſtrumenti constructio est huiuſinodi. </s>
              <s xml:id="echoid-s21016" xml:space="preserve">Regulæ in formam literæ T ad angulos rectos Poneban-
                <lb/>
              tur ita uta utriuſq; </s>
              <s xml:id="echoid-s21017" xml:space="preserve">idem utrinque planum eſſet, regula a b. </s>
              <s xml:id="echoid-s21018" xml:space="preserve">recta regula c d. </s>
              <s xml:id="echoid-s21019" xml:space="preserve">tranſuerſa. </s>
              <s xml:id="echoid-s21020" xml:space="preserve">in recta a b. </s>
              <s xml:id="echoid-s21021" xml:space="preserve">ca
                <lb/>
              nalis erat in quo cuneus ſurſum ac deorſum mouebatur, per medium autem c d tranſuerſa linea,in cuius ex-
                <lb/>
              tremo d fixus erat clauiculus g h. </s>
              <s xml:id="echoid-s21022" xml:space="preserve">adrectos angulos extra ſuperficiem regulæ c d. </s>
              <s xml:id="echoid-s21023" xml:space="preserve">in claniculo ſoramen
                <lb/>
                <note position="left" xlink:label="note-514.01.309-05" xlink:href="note-514.01.309-05a" xml:space="preserve">50</note>
              erat in quo regula parua e f mouebatur coniuncta cum cuneo in canali poſito. </s>
              <s xml:id="echoid-s21024" xml:space="preserve">esto igitur caput regulæ par
                <lb/>
              uæ k. </s>
              <s xml:id="echoid-s21025" xml:space="preserve">ſimouebis cuneumper canalem aut ad a. </s>
              <s xml:id="echoid-s21026" xml:space="preserve">aut ad b. </s>
              <s xml:id="echoid-s21027" xml:space="preserve">ſimul cum regula e f. </s>
              <s xml:id="echoid-s21028" xml:space="preserve">ſemper e per lineam
                <lb/>
              rectam mouebitur, & </s>
              <s xml:id="echoid-s21029" xml:space="preserve">linea e f in clauiculi foramine ingredietur, & </s>
              <s xml:id="echoid-s21030" xml:space="preserve">egredietur. </s>
              <s xml:id="echoid-s21031" xml:space="preserve">& </s>
              <s xml:id="echoid-s21032" xml:space="preserve">recta media regulæ e
                <lb/>
              f. </s>
              <s xml:id="echoid-s21033" xml:space="preserve">ſuo motu mouebitur per foramen clauiculi. </s>
              <s xml:id="echoid-s21034" xml:space="preserve">obſeruabitur ergo ecceſſum e k. </s>
              <s xml:id="echoid-s21035" xml:space="preserve">regulæ e f. </s>
              <s xml:id="echoid-s21036" xml:space="preserve">ſemper idem
                <lb/>
              & </s>
              <s xml:id="echoid-s21037" xml:space="preserve">eiuſdem longitudinis fore. </s>
              <s xml:id="echoid-s21038" xml:space="preserve">quare ſi in k apponetur aliquid quod deſcribere aut ſignare poßit planum ſub-
                <lb/>
              iectum regulæ paruæ motu deſcribetur flexa quædam linea ut l m n. </s>
              <s xml:id="echoid-s21039" xml:space="preserve">quam Nicomedes primam Conchoiden
                <lb/>
              uocat.</s>
              <s xml:id="echoid-s21040" xml:space="preserve">& </s>
              <s xml:id="echoid-s21041" xml:space="preserve">interuallum inter e & </s>
              <s xml:id="echoid-s21042" xml:space="preserve">k. </s>
              <s xml:id="echoid-s21043" xml:space="preserve">magnitudinem regulæ appellat, punctum uero d. </s>
              <s xml:id="echoid-s21044" xml:space="preserve">polum, in flexa illa
                <lb/>
              linea tres proprietates inueniri: </s>
              <s xml:id="echoid-s21045" xml:space="preserve">quarum una est quod linea flexa l m n. </s>
              <s xml:id="echoid-s21046" xml:space="preserve">quo plus producitur,eò minus di-
                <lb/>
              ſtat a recta a b. </s>
              <s xml:id="echoid-s21047" xml:space="preserve">ut uidetur nota c. </s>
              <s xml:id="echoid-s21048" xml:space="preserve">plus diſtare ab a b. </s>
              <s xml:id="echoid-s21049" xml:space="preserve">quam notam n. </s>
              <s xml:id="echoid-s21050" xml:space="preserve">& </s>
              <s xml:id="echoid-s21051" xml:space="preserve">n. </s>
              <s xml:id="echoid-s21052" xml:space="preserve">pluſquam m. </s>
              <s xml:id="echoid-s21053" xml:space="preserve">& </s>
              <s xml:id="echoid-s21054" xml:space="preserve">de-
                <lb/>
              nique m. </s>
              <s xml:id="echoid-s21055" xml:space="preserve">pluſquam l. </s>
              <s xml:id="echoid-s21056" xml:space="preserve">quod aperte uidebis,ſi anotis c n m l. </s>
              <s xml:id="echoid-s21057" xml:space="preserve">cadant perpendiculares in a b. </s>
              <s xml:id="echoid-s21058" xml:space="preserve">Se-
                <lb/>
                <note position="left" xlink:label="note-514.01.309-06" xlink:href="note-514.01.309-06a" xml:space="preserve">60</note>
              </s>
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