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
81 71
82 70
83 71
84 72
85 73
86 74
87 75
88 76
89 77
90 78
91 79
92 80
93 81
94 82
95 89
96 84
97 85
98 96
99 87
100 88
101 89
102 90
103 91
104 92
105 93
106 94
107 95
108 96
109 97
110 98
< >
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