Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

Page concordance

< >
Scan Original
251 239
252 240
253 241
254 242
255 243
256 244
257 245
258 246
259 247
260 248
261 249
262 250
263 251
264 252
265 253
266 254
267 255
268 256
269 259
270 258
271 259
272 260
273 261
274 222
275 263
276 264
277 265
278 266
279 267
280 268
< >
page |< < (162) of 445 > >|
    <echo version="1.0">
      <text type="book" xml:lang="la">
        <div xml:id="echoid-div7" type="body" level="1" n="1">
          <div xml:id="echoid-div340" type="chapter" level="2" n="3">
            <div xml:id="echoid-div377" type="section" level="3" n="19">
              <pb o="162" rhead="IO. BAPT. BENED." n="174" file="0174" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0174"/>
            </div>
            <div xml:id="echoid-div379" type="section" level="3" n="20">
              <head xml:id="echoid-head232" style="it" xml:space="preserve">De uer a r atione .17. queſtionis.</head>
              <head xml:id="echoid-head233" xml:space="preserve">CAP. XX.</head>
              <p>
                <s xml:id="echoid-s1933" xml:space="preserve">DEcimaſeptima quæſtio ab Ariſtotele haud benè percepta fuit, quia is non ac-
                  <lb/>
                commodat partes vectis ſuis locis. </s>
                <s xml:id="echoid-s1934" xml:space="preserve">Quamobrem imaginemur duos vectes
                  <var>.
                    <lb/>
                  a.o.n.</var>
                et
                  <var>.o.e.u.</var>
                quorum centra, quæ hypomochlia appellantur ſint
                  <var>.o.</var>
                & pondera,
                  <lb/>
                quæ ſunt attollenda ſint
                  <var>.a.</var>
                et
                  <var>.e.</var>
                inter ſe æqualia, & diſtantię ſint
                  <var>.a.o.</var>
                et
                  <var>.e.o.</var>
                ſibi
                  <reg norm="inuicem" type="context">inuicẽ</reg>
                  <lb/>
                æquales, ſed
                  <var>.o.n.</var>
                æqualis ſit ipſi
                  <var>.o.u</var>
                : clarum erit,
                  <reg norm="quod" type="simple">ꝙ</reg>
                ad eleuandum
                  <var>.a.</var>
                oportebit depri
                  <lb/>
                mere
                  <var>.n.</var>
                & ad eleuandum
                  <var>.e.</var>
                oportebit attollere
                  <var>.u</var>
                . </s>
                <s xml:id="echoid-s1935" xml:space="preserve">Et quia omnia ſupponuntur æ qua
                  <lb/>
                  <handwritten xlink:label="hd-0174-01" xlink:href="hd-0174-01a" number="16"/>
                lia, clarum quoque erit, commu-
                  <lb/>
                ni ſcientia, tantam virtutem in
                  <lb/>
                  <figure xlink:label="fig-0174-01" xlink:href="fig-0174-01a" number="236">
                    <image file="0174-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0174-01"/>
                  </figure>
                n. quanta ſufficiet ad
                  <reg norm="attollendum" type="context">attollendũ</reg>
                  <lb/>
                a. in
                  <var>.u.</var>
                  <reg norm="quoque" type="simple">quoq;</reg>
                ſuffecturam ad ele-
                  <lb/>
                uandum
                  <var>.e.</var>
                quia
                  <reg norm="cum" type="context">cũ</reg>
                æqualibus an
                  <lb/>
                gulis ijs, quibus duæ virtutes
                  <var>.a.</var>
                  <lb/>
                et
                  <var>.n.</var>
                annituntur
                  <var>.o.</var>
                centro, ita
                  <var>.e.</var>
                  <lb/>
                et
                  <var>.u.</var>
                è contrario ſuo centro
                  <var>.o.</var>
                an
                  <lb/>
                nituntur. </s>
                <s xml:id="echoid-s1936" xml:space="preserve">& omnes rationes pro
                  <lb/>
                vecte
                  <var>.a.o.n.</var>
                quarto
                  <reg norm="quintoque" type="simple">quintoq́;</reg>
                huius tracta-
                  <lb/>
                  <figure xlink:label="fig-0174-02" xlink:href="fig-0174-02a" number="237">
                    <image file="0174-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0174-02"/>
                  </figure>
                tus capitibus citatæ, vecti
                  <var>.o.e.u.</var>
                vt ſatis ſu
                  <lb/>
                  <reg norm="perque" type="simple">perq́;</reg>
                dixi in dicto capit .5. conuenire poſ-
                  <lb/>
                ſunt.</s>
              </p>
              <p>
                <s xml:id="echoid-s1937" xml:space="preserve">Nunc ſit aliqua pars ligni cindenda ſe-
                  <lb/>
                cundum venulas ſuas
                  <var>.d.e.f.g.</var>
                & ſit cuneus
                  <lb/>
                  <var>a.b.c.</var>
                qui vi mallei
                  <var>.P.</var>
                vſque ad
                  <var>.t.x.</var>
                pene-
                  <lb/>
                trarit. </s>
                <s xml:id="echoid-s1938" xml:space="preserve">Hinc clarum erit, quòd apertura
                  <lb/>
                  <var>i.m.r.</var>
                ligni, poſt quam infigitur cuneus ſe
                  <lb/>
                cundum venas, longíor erit parte
                  <var>.x.b.t.</var>
                cu
                  <lb/>
                nei, quæ ingreſſa eſt. </s>
                <s xml:id="echoid-s1939" xml:space="preserve">Oportet nunc ima-
                  <lb/>
                ginari duos vectes ſimiles ſupradictæ
                  <var>.u.e.
                    <lb/>
                  o.</var>
                in hunc modum, vt puncta
                  <var>i.r.</var>
                lìni ſint
                  <lb/>
                loco
                  <var>.u.</var>
                extremi
                  <reg norm="ipſius" type="simple">ipſiꝰ</reg>
                vectis, et
                  <var>.t.x.</var>
                loco vir
                  <lb/>
                tutis applicatæ ipſi
                  <var>.u.</var>
                & reſiſtentia circa
                  <lb/>
                punctum
                  <var>.m.</var>
                loco ponderis
                  <var>.e.</var>
                vectis
                  <var>.o.e.u.</var>
                  <lb/>
                dicti, & pars
                  <var>.K.</var>
                quaſi immediata poſt
                  <var>.m.</var>
                  <lb/>
                verſus extremitatem
                  <var>.f.e.</var>
                ligni, ſit loco hy-
                  <lb/>
                pomochlij
                  <var>.o</var>
                . </s>
                <s xml:id="echoid-s1940" xml:space="preserve">Hinc fiet vt quanto longio
                  <lb/>
                res erunt lineæ
                  <var>.i.m.K.</var>
                et
                  <var>.r.m.K.</var>
                tantò quo
                  <lb/>
                que facilius virtutes
                  <var>.t.x.</var>
                impellent
                  <var>.i.r</var>
                .</s>
              </p>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum