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
121 109
122 110
123 111
124 112
125 113
126 114
127 115
128 116
129 117
130 118
131 119
132 120
133 121
134 122
135 123
136 124
137 125
138 126
139 127
140 128
141 129
142 130
143 131
144 132
145 133
146 134
147 135
148 136
149 137
150 138
< >
page |< < (144) 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-div344" type="section" level="3" n="3">
              <pb o="144" rhead="IO. BAPT. BENED." n="156" file="0156" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0156"/>
            </div>
            <div xml:id="echoid-div346" type="section" level="3" n="4">
              <head xml:id="echoid-head201" style="it" xml:space="preserve">Quemadmodum exſupradictis cauſis omnes staterarum &
                <lb/>
              uectium cauſæ dependeant.</head>
              <head xml:id="echoid-head202" xml:space="preserve">CAP. IIII.</head>
              <p>
                <s xml:id="echoid-s1728" xml:space="preserve">VIs brachij longioris alicuius ſtateræ, aut vectis, maior breuioris, ab ijs, quæ in ſu
                  <lb/>
                perioribus capitibus diximus, ideſt
                  <reg norm="quod" type="simple">ꝙ</reg>
                nitatur
                  <reg norm="pendeatuem" type="context">pendeatuẽ</reg>
                magis aut minus à
                  <lb/>
                centro pondus in extremitate brachij maioris poſitum, oboritur. </s>
                <s xml:id="echoid-s1729" xml:space="preserve">Quamobrem illud
                  <lb/>
                à nobis primò eſt cognoſcendum, ſtateras, aut vectes, puras mathematicas li-
                  <lb/>
                neas non eſſe, ſed naturales, hincque exiſtere corpora cum materia coniuncta. </s>
                <s xml:id="echoid-s1730" xml:space="preserve">Nunc
                  <lb/>
                igitur imaginemur
                  <var>.n.s.</var>
                eam ſuperficiem eſſe, quæ ſecundum longitudinem axem ſta
                  <lb/>
                teræ ſcindit. </s>
                <s xml:id="echoid-s1731" xml:space="preserve">& ſupponamus ipſius centrum eſſe primum in
                  <var>.i.</var>
                & maius brachium eſſe
                  <lb/>
                  <var>.i.u</var>
                : minus autem
                  <var>.i.n.</var>
                & lineam verticalem
                  <var>.i.o.</var>
                quæ tanta ſit, quanta eſt ſpiſſitu-
                  <lb/>
                do, aut craſſities ipſius ſtateræ à ſuperiori latere ad inferius, ad faciliorem intelligen-
                  <lb/>
                tiam, ſupponendo
                  <var>.n.s.</var>
                  <reg norm="parallelogrammam" type="context">parallelogrãmam</reg>
                . </s>
                <s xml:id="echoid-s1732" xml:space="preserve">Poſitis igitur duobus ponderibus æquali-
                  <lb/>
                  <handwritten xlink:label="hd-0156-01" xlink:href="hd-0156-01a" number="5"/>
                bus in extremitatibus brachiorum, experientia innoteſcit,
                  <reg norm="quod" type="simple">ꝙ</reg>
                pondus ad
                  <var>.u.s.</var>
                appen-
                  <lb/>
                ſum, viol entiam faciet ponderi appenſo ad
                  <var>.n.x.</var>
                ſed nos volumus inueſtigare
                  <reg norm="causam" type="context">causã</reg>
                  <lb/>
                huius effectus, quæ à nemine vnquam literarum monumentis,
                  <reg norm="quod" type="simple">ꝙ</reg>
                ſciam, conſignata
                  <lb/>
                  <handwritten xlink:label="hd-0156-02" xlink:href="hd-0156-02a" number="6"/>
                fuit. </s>
                <s xml:id="echoid-s1733" xml:space="preserve">Iam diximus ſtateram, aut vectem materialem eſſe &
                  <var>.n.s.</var>
                eius ſuperficiem me-
                  <lb/>
                diam, ſupponendo
                  <var>.i.</var>
                eſſe centrum quo nititur dicta ſtatera aut vectis; </s>
                <s xml:id="echoid-s1734" xml:space="preserve">Cum hocer-
                  <lb/>
                go ita ſe habeat, ſint
                  <var>.u.s.</var>
                et
                  <var>.n.x.</var>
                lineæ inclinationum ponderum, & imaginemur,
                  <reg norm="quod" type="simple">ꝙ</reg>
                  <lb/>
                dicta pondera pendeant à punctis
                  <var>.u.</var>
                et
                  <var>.n.</var>
                vt reuera pendent, etiam ſi appenſa eſſent
                  <lb/>
                ſub
                  <var>.s.</var>
                et
                  <var>.x.</var>
                quia punctum
                  <var>.u.</var>
                & punctum
                  <var>.n.</var>
                ita coniuncta ſunt cum
                  <var>.s.</var>
                et
                  <var>.x.</var>
                ut qui
                  <reg norm="vnum" type="context">vnũ</reg>
                  <lb/>
                trahit alterum quoque trahat. </s>
                <s xml:id="echoid-s1735" xml:space="preserve">Imaginemur quoque duas lineas
                  <var>.i.u</var>
                :
                  <var>i.n.</var>
                et
                  <var>.i.e.</var>
                quę
                  <lb/>
                  <var>i.e.</var>
                faciat angulum
                  <var>.o.i.e.</var>
                æqualem angulo
                  <var>.o.i.n</var>
                . </s>
                <s xml:id="echoid-s1736" xml:space="preserve">Hinc clarè nobis patebit, ſi quis ipſi
                  <lb/>
                e. pondus ipſius
                  <var>.u.</var>
                (
                  <reg norm="quod" type="simple">ꝙ</reg>
                æquale eſt ponderi
                  <var>.n.</var>
                ) appenderet, id eandem planè vim habe
                  <lb/>
                ret, quam pondus ipſius
                  <var>.n.</var>
                habet, & ſtateram neque ſurſum, neque deorſum moue-
                  <lb/>
                ret, quia ambo pondera ad centrum
                  <var>.i.</var>
                mediantibus lineis
                  <var>.e.i.</var>
                et
                  <var>.n.i.</var>
                exęquo annite-
                  <lb/>
                rentur, ſed dicto pondere poſito in .u: linea
                  <var>.u.i.</var>
                per quam pondus centro annititur,
                  <lb/>
                magis orizontalis quam
                  <var>.e.i.</var>
                fit, & linea
                  <var>.u.s.</var>
                inclinationis longius diſtans à centro
                  <var>.i.</var>
                  <lb/>
                  <handwritten xlink:label="hd-0156-03" xlink:href="hd-0156-03a" number="7"/>
                quàm linea
                  <var>.e.t.</var>
                vnde huiuſmodi pondus magis quoque liberum à centro
                  <var>.i.</var>
                reſultat.
                  <lb/>
                </s>
                <s xml:id="echoid-s1737" xml:space="preserve">magisque ponderoſum, quam cum erat in
                  <var>.e.</var>
                ratione eorum, quæ primo & ſecundo
                  <lb/>
                capitibus diximus, & ob hanc cauſam ſuperat pondus poſitum in
                  <var>.n</var>
                . </s>
                <s xml:id="echoid-s1738" xml:space="preserve">Sed ſi centrum
                  <lb/>
                fuerit .in
                  <var>.o.</var>
                imaginabimur duas lineas
                  <var>.o.s.</var>
                et
                  <var>.o.x.</var>
                & ſupponemus quòd pondera po-
                  <lb/>
                ſita ſint in
                  <var>.s.</var>
                et
                  <var>.x.</var>
                vnde exiſtente magis orizontali linea
                  <var>.o.s.</var>
                quam erit
                  <var>.o.x.</var>
                & linea
                  <lb/>
                  <var>u.s.</var>
                inclinationis longius diſtante à centro
                  <var>.o.</var>
                quàm linea
                  <var>.e.t.</var>
                eius pondus erit
                  <reg norm="quoque" type="simple">quoq;</reg>
                  <lb/>
                  <figure xlink:label="fig-0156-01" xlink:href="fig-0156-01a" number="212">
                    <image file="0156-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0156-01"/>
                  </figure>
                  <figure xlink:label="fig-0156-02" xlink:href="fig-0156-02a" number="213">
                    <image file="0156-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0156-02"/>
                  </figure>
                </s>
              </p>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum