Vitruvius, De architectura libri decem, 1567

Page concordance

< >
Scan Original
281 249
282 250
283 251
284 252
285 253
286 254
287 255
288 256
289 257
290 258
291 259
292 260
293 261
294 262
295 263
296 264
297 265
298 266
299 267
300 268
301 269
302 270
303 271
304 272
305 273
306 274
307 275
308 276
309 277
310 278
< >
page |< < (277) of 412 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1" type="section" level="1" n="1">
          <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>
            </p>
          </div>
        </div>
      </text>
    </echo>
Impressum