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
201 189
202 190
203 191
204 192
205 193
206 194
207 195
208 196
209 197
210 198
211 199
212 200
213 201
214 202
215 203
216 204
217 205
218 206
219 207
220 208
221 209
222 210
223 211
224 212
225 213
226 214
227 215
228 216
229 217
230 218
< >
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