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
171 159
172 160
173 161
174 162
175 163
176 164
177 165
178 166
179 167
180 168
181 169
182 170
183 171
184 172
185 173
186 174
187 175
188 176
189 177
190 178
191 179
192 180
193 181
194 182
195 183
196 184
197 185
198 186
199 187
200 188
< >
page |< < (165) 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-div381" type="section" level="3" n="21">
              <p>
                <s xml:id="echoid-s1968" xml:space="preserve">
                  <pb o="165" rhead="DE MECHAN." n="177" file="0177" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0177"/>
                  <var>g.i.</var>
                et .K: </s>
                <s xml:id="echoid-s1969" xml:space="preserve">Quà propter augebitur virtus per numeros impares, hoc modo; </s>
                <s xml:id="echoid-s1970" xml:space="preserve">Nam
                  <var>.g.</var>
                  <lb/>
                eſſet tertia pars reſiſtentię, quemadmodum prius media erat. </s>
                <s xml:id="echoid-s1971" xml:space="preserve">Idem infero de
                  <var>.m.n.
                    <lb/>
                  o.p.r.</var>
                et
                  <var>.s</var>
                . </s>
                <s xml:id="echoid-s1972" xml:space="preserve">Sed cum oporteat pondus
                  <var>.q.</var>
                tantum eſſe vt
                  <reg norm="ſuffieiant" type="context">ſuffieiãt</reg>
                reſiſtentiæ in
                  <var>.o.</var>
                et
                  <var>.p.</var>
                  <lb/>
                ipſum ſuſtinere, idcirco ipſum pondus
                  <var>.q.</var>
                ſubſeſquialter erit
                  <reg norm="ponderi" type="context">põderi</reg>
                in
                  <var>.i.</var>
                poſiti. </s>
                <s xml:id="echoid-s1973" xml:space="preserve">Qua-
                  <lb/>
                propter
                  <var>.s.</var>
                quinta pars erit ponderum
                  <var>.i.</var>
                et
                  <var>.q</var>
                . </s>
                <s xml:id="echoid-s1974" xml:space="preserve">Deinde ſi adhuc. duo diametri vnus in-
                  <lb/>
                ferior, alter verò ſuperior additi fuerint cum pondere æquali
                  <var>.q.</var>
                ad medium diame-
                  <lb/>
                tri inferioris, </s>
                <s xml:id="echoid-s1975" xml:space="preserve">tunc pondus
                  <var>.s.</var>
                erit ſeptima pars trium ponderum
                  <var>.i.q.</var>
                & tertij additi, ex
                  <lb/>
                  <figure xlink:label="fig-0177-01" xlink:href="fig-0177-01a" number="239">
                    <image file="0177-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0177-01"/>
                  </figure>
                ſupradictis rationibus. </s>
                <s xml:id="echoid-s1976" xml:space="preserve">Et quia virtus ſuſti
                  <lb/>
                  <figure xlink:label="fig-0177-02" xlink:href="fig-0177-02a" number="240">
                    <image file="0177-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0177-02"/>
                  </figure>
                nens totale pondus trochleæ inferiori ap-
                  <lb/>
                penſum in tot diuiditur partes æquales,
                  <lb/>
                quot ſunt diametri orbiculorum trochleæ
                  <lb/>
                inferioris, quando extremum immobile fu
                  <lb/>
                nis alligatum fuerit trochleę ſuperiori, vt
                  <lb/>
                puta in puncto
                  <var>.e.</var>
                cum verò alligatum fue-
                  <lb/>
                rit trochleæ inferiori, virtus primi diame-
                  <lb/>
                tri
                  <var>.g.i.K.</var>
                trochleæ inferioris ſemper ſeſqui
                  <lb/>
                altera erit vnicuique aliorum
                  <reg norm="diametrorum" type="context">diametrorũ</reg>
                  <lb/>
                ideò virtus reſiſtentię alterius extremi mo
                  <lb/>
                bilis funis, puta
                  <var>.s.</var>
                ſubmultiplex erit totalis
                  <lb/>
                ponderis, eo modo quo diximus, cuius vir
                  <lb/>
                tus, ſeu grauitas diuiditur ſeu diſtrubuitur
                  <lb/>
                diametris inferioris trochleæ vt dictum eſt.</s>
              </p>
            </div>
            <div xml:id="echoid-div383" type="section" level="3" n="22">
              <head xml:id="echoid-head236" style="it" xml:space="preserve">Depropria cauſa .24. quæſtionis.</head>
              <head xml:id="echoid-head237" xml:space="preserve">CAP. XXII.</head>
              <p>
                <s xml:id="echoid-s1977" xml:space="preserve">VEra cauſa effectus, qui vigeſimaquarta quæſtione exprimitur, adhuc à nemine
                  <lb/>
                (quod ſciam) animaduerſa fuit, licet non ſit admodum ardua vel obſcura. </s>
                <s xml:id="echoid-s1978" xml:space="preserve">Ima
                  <lb/>
                ginemur ergo duos circulos
                  <var>.c.f.</var>
                et
                  <var>.b.g.</var>
                concentricos,
                  <reg norm="itaque" type="simple">itaq;</reg>
                ſimul coniunctos, vt ſi ip
                  <lb/>
                ſorum vnus feratur in orbem, alius quoque circumagatur, eo modo, quo curruum ro
                  <lb/>
                tæ voluuntur. </s>
                <s xml:id="echoid-s1979" xml:space="preserve">Et imaginemur primò ſuper lineam
                  <var>.f.i.</var>
                reuolui maiorem, & quando
                  <lb/>
                idem circulus erit in
                  <var>.l.</var>
                dictam lineam
                  <var>.f.i.</var>
                tangere circunferentiam eiuſdem in pun- </s>
              </p>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum