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 |< < (161) 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-div374" type="section" level="3" n="17">
              <p>
                <s xml:id="echoid-s1923" xml:space="preserve">
                  <pb o="161" rhead="DE MECHAN." n="173" file="0173" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0173"/>
                maneat, ſed citò fiat curua, cum dictum corpus
                  <var>.a.</var>
                duabus virtutibus moueatur, qua-
                  <lb/>
                rum vna eſt, violentia impræſſa, & alia natura, contra opinionem Tartaleæ, qui ne-
                  <lb/>
                gat corpus aliquod motibus violen
                  <lb/>
                  <figure xlink:label="fig-0173-01" xlink:href="fig-0173-01a" number="234">
                    <image file="0173-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0173-01"/>
                  </figure>
                to & naturali ſimul & ſemel moueri
                  <lb/>
                poſſe. </s>
                <s xml:id="echoid-s1924" xml:space="preserve">
                  <reg norm="Neque" type="simple">Neq;</reg>
                eſt
                  <reg norm="ſilentio" type="context">ſilẽtio</reg>
                  <reg norm="prætereundus" type="context">prætereũdus</reg>
                  <lb/>
                hac in re
                  <reg norm="quidam" type="simple context">ꝗdã</reg>
                notatu
                  <reg norm="dignus" type="simple">dignꝰ</reg>
                effectus,
                  <lb/>
                qui eiuſmodi eſt,
                  <reg norm="quod" type="simple">ꝙ</reg>
                quanto magis
                  <lb/>
                creſcit impetus in corpore
                  <var>.a.</var>
                cauſa
                  <lb/>
                tus ab augumento velocitatis giri
                  <lb/>
                ipſius
                  <var>.e.</var>
                  <reg norm="tantò" type="context">tãtò</reg>
                magis oportet, vt ſen-
                  <lb/>
                tiat ſe trahi manus à dicto corpore
                  <lb/>
                a. mediante fune, quia quantò ma-
                  <lb/>
                ior impetus motus ipſi
                  <var>.a.</var>
                eſt impręſ
                  <lb/>
                ſus, tantò magis dictum corpus
                  <var>.a.</var>
                  <lb/>
                ad rectum iter peragendum incli-
                  <lb/>
                natur, vnde vt recta incedat, tantò
                  <lb/>
                maiore quoque vi trahit.</s>
              </p>
            </div>
            <div xml:id="echoid-div376" type="section" level="3" n="18">
              <head xml:id="echoid-head228" style="it" xml:space="preserve">De decimatertia questione.</head>
              <head xml:id="echoid-head229" xml:space="preserve">CAP. XVIII.</head>
              <p>
                <s xml:id="echoid-s1925" xml:space="preserve">DEcimatertia quæſtio ad vectem omnino eſt referenda. </s>
                <s xml:id="echoid-s1926" xml:space="preserve">Imaginari debemus
                  <lb/>
                axem cylindrici iugi, hypomochlion eſſe. </s>
                <s xml:id="echoid-s1927" xml:space="preserve">Quod reſtat, illud ipſum totum de
                  <lb/>
                pendet à .4.
                  <reg norm="quintoque" type="simple">quintoq́;</reg>
                cap. huius tractatus. </s>
                <s xml:id="echoid-s1928" xml:space="preserve">Vna tamen differentia inter hanc machi-
                  <lb/>
                nam,
                  <reg norm="vectemque" type="simple">vectemq́;</reg>
                reperitur, quæ eſt,
                  <reg norm="quod" type="simple">ꝙ</reg>
                iugum aliquam reſiſtentiam pro coniunctione
                  <lb/>
                calcata in loco, in quo voluitur, magis quàm hypomochlion vecti efficiat.</s>
              </p>
            </div>
            <div xml:id="echoid-div377" type="section" level="3" n="19">
              <head xml:id="echoid-head230" style="it" xml:space="preserve">De decimaquart a queſtione.</head>
              <head xml:id="echoid-head231" xml:space="preserve">CAP. XIX.</head>
              <p>
                <s xml:id="echoid-s1929" xml:space="preserve">RAtiones etiam decimæquartæ quæſtionis dependent ab ijs, quæ ſunt vectis, vt
                  <lb/>
                exempli gratia ſit lignum
                  <var>.a.b.c.d.</var>
                frang endum in medio, annitendo genibus
                  <lb/>
                in punctum
                  <var>.o.</var>
                clariſſimè tunc videbimus,
                  <reg norm="quod" type="simple">ꝙ</reg>
                tenentes marlus longè à medio, in locis
                  <lb/>
                a. et
                  <var>.c.</var>
                facilius
                  <reg norm="minorique" type="simple">minoriq́;</reg>
                cum labore illum frangemus, quàm ſi eaſdem vicinas me-
                  <lb/>
                dio eiuſdem ligni in locis
                  <var>.e.</var>
                et
                  <var>.i.</var>
                poneremus. </s>
                <s xml:id="echoid-s1930" xml:space="preserve">Cuius rei rationes
                  <reg norm="eædem" type="context">eædẽ</reg>
                ſunt
                  <reg norm="cum" type="context">cũ</reg>
                ijs, quæ
                  <lb/>
                primis huius tractatus capitibus propoſitæ fuerunt. </s>
                <s xml:id="echoid-s1931" xml:space="preserve">Imaginemur lineas rectas ductas
                  <lb/>
                à puncto
                  <var>.o.</var>
                ad loca
                  <var>.a.e.i.</var>
                et
                  <var>.c.</var>
                hinc manifeſtè perſpiciemus eorum, quæ iam diximus
                  <lb/>
                ratione,
                  <reg norm="quod" type="simple">ꝙ</reg>
                loca
                  <var>.e.</var>
                et
                  <var>.i.</var>
                mediantibus duabus lineis
                  <var>.e.o.</var>
                et
                  <var>.i.o.</var>
                magis annitentur
                  <var>.o.</var>
                cen
                  <lb/>
                tro, quàm loco
                  <var>.a.</var>
                et
                  <var>.c.</var>
                  <reg norm="duarum" type="context">duarũ</reg>
                  <reg norm="linearum" type="context">linearũ</reg>
                  <var>.a.o.</var>
                et
                  <var>.c.o.</var>
                beneficio; </s>
                <s xml:id="echoid-s1932" xml:space="preserve">vnde vim
                  <reg norm="quoque" type="simple">quoq;</reg>
                maiorem
                  <lb/>
                  <reg norm="habebunt" type="context">habebũt</reg>
                  <lb/>
                  <figure xlink:label="fig-0173-02" xlink:href="fig-0173-02a" number="235">
                    <image file="0173-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0173-02"/>
                  </figure>
                in
                  <var>.a.</var>
                et
                  <var>.c.</var>
                  <lb/>
                quàm in
                  <lb/>
                e. et
                  <var>.i</var>
                .</s>
              </p>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum