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
101 89
102 90
103 91
104 92
105 93
106 94
107 95
108 96
109 97
110 98
111 99
112 100
113 101
114 102
115 103
116 104
117 105
118 106
119 107
120 108
121 109
122 110
123 111
124 112
125 113
126 114
127 115
128 116
129 117
130 118
< >
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