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 |< < (140) 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-div308" type="chapter" level="2" n="2">
            <div xml:id="echoid-div333" type="section" level="3" n="14">
              <pb o="140" rhead="IO. BAPT. BENED." n="152" file="0152" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0152"/>
              <p>
                <s xml:id="echoid-s1686" xml:space="preserve">Ponamus nunc quadratum lateris
                  <var>.a.u.</var>
                eſſe .12. clarum erit quodlibet quadratum
                  <lb/>
                aliorum duorum laterum
                  <var>.a.q.</var>
                et
                  <var>.u.q.</var>
                futurum nouem, ex ijs quæ poſteriore loco dixi
                  <lb/>
                mus, & quia quadratum ipſius
                  <var>.q.a.</var>
                eſt tantò minus aliorum duorum quadratorum
                  <lb/>
                ſumma, quantum eſt duplum producti ipſius
                  <var>.q.a.</var>
                in
                  <var>.a.o.</var>
                ex .13. ſecundi, ſed alia duo
                  <lb/>
                quadrata ſimul collecta faciunt .21. à quo numero ſubtrahendo quadratum ipſius
                  <var>.a.
                    <lb/>
                  q.</var>
                ideſt nouem, remanebit numerus .12. pro duplo producti ipſius
                  <var>.q.a.</var>
                in
                  <var>.a.o.</var>
                cuius
                  <lb/>
                dupli me-
                  <lb/>
                  <figure xlink:label="fig-0152-01" xlink:href="fig-0152-01a" number="207">
                    <image file="0152-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0152-01"/>
                  </figure>
                dia pars, id-
                  <lb/>
                eſt ſimplex
                  <lb/>
                productum
                  <lb/>
                ipſius
                  <var>.q.a.</var>
                  <lb/>
                  <reg norm="in" type="wordlist">ĩ</reg>
                  <var>a.o.</var>
                erit 6.
                  <lb/>
                Sed
                  <reg norm="quia" type="simple">ꝗa</reg>
                qua
                  <lb/>
                dratum ip-
                  <lb/>
                ſius
                  <var>.q.a.</var>
                eſt
                  <lb/>
                nouem,
                  <lb/>
                eius radix
                  <var>.
                    <lb/>
                  q.a.</var>
                crit .3.
                  <lb/>
                per
                  <reg norm="quam" type="context">quã</reg>
                di-
                  <lb/>
                uidendo .6.
                  <lb/>
                productum
                  <lb/>
                ipſius
                  <var>.q.a.</var>
                  <lb/>
                in
                  <var>.a.o.</var>
                pro
                  <lb/>
                latere
                  <var>.a.o.</var>
                  <lb/>
                conſurgent
                  <lb/>
                duo, cum er
                  <lb/>
                go
                  <var>.a.o.</var>
                ſint
                  <lb/>
                duo tertia
                  <lb/>
                ipſius
                  <var>.a.q.</var>
                  <lb/>
                certi
                  <reg norm="erimus" type="simple">erimꝰ</reg>
                  <lb/>
                  <var>a.o.</var>
                eſſe latus dicti exagoni.</s>
              </p>
            </div>
            <div xml:id="echoid-div337" type="section" level="3" n="15">
              <head xml:id="echoid-head193" xml:space="preserve">CAP. XV.</head>
              <p>
                <s xml:id="echoid-s1687" xml:space="preserve">
                  <reg norm="DEſiderantes" type="context">DEſiderãtes</reg>
                ſcire deinde
                  <var>.l.k.</var>
                in figura
                  <var>.M.</var>
                quar
                  <lb/>
                  <figure xlink:label="fig-0152-02" xlink:href="fig-0152-02a" number="208">
                    <image file="0152-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0152-02"/>
                  </figure>
                ti cap. tertiæ partis perſpectiuę Danielis
                  <lb/>
                Barbari, ſeu Zamberti, eſſe veram
                  <reg norm="altitudinem" type="context">altitudinẽ</reg>
                cor-
                  <lb/>
                poris octoaedri,
                  <reg norm="primum" type="context">primũ</reg>
                ſcire debemus
                  <reg norm="quod" type="simple">ꝙ</reg>
                  <reg norm="exiſtente" type="context">exiſtẽte</reg>
                  <var>.b.
                    <lb/>
                  h.</var>
                vt
                  <reg norm="etiam" type="context">etiã</reg>
                  <var>.b.l.</var>
                tripla ad
                  <var>.b.k.</var>
                vt ex ijs, quę ſuperius
                  <reg norm="iam" type="context">iã</reg>
                  <lb/>
                diximus, facile percipi poteſt; </s>
                <s xml:id="echoid-s1688" xml:space="preserve">ex penultima primi
                  <var>.
                    <lb/>
                  b.l.</var>
                in potentia, ſeſquioctaua erit ad
                  <var>.k.l.</var>
                ipſa et
                  <var>.k.
                    <lb/>
                  l.</var>
                dupla
                  <reg norm="inpotentia" type="context">inpotẽtia</reg>
                ad
                  <var>.h.k.</var>
                & ob id ducta
                  <reg norm="cum" type="context">cũ</reg>
                eſſet
                  <var>.h.
                    <lb/>
                  l.</var>
                exiſteret in potentia tripla ad
                  <var>.h.k.</var>
                & ſeſquialtera
                  <lb/>
                ad
                  <var>.l.k.</var>
                & ſeſquitertia ad
                  <var>.l.b.</var>
                & ſic ad
                  <var>.h.b.</var>
                vnde
                  <var>.l.h.</var>
                  <lb/>
                æqualis eſſet vni ex lateribus
                  <reg norm="trianguli" type="context">triãguli</reg>
                ęquilateri di-
                  <lb/>
                cti corporis. </s>
                <s xml:id="echoid-s1689" xml:space="preserve">Ex rationibus igitur ſuperius hîc poſi-
                  <lb/>
                tis
                  <var>.l.k.</var>
                erit altitudo dicta, id eſt diſtantia inter duas
                  <lb/>
                facies inuicem oppoſitas, octoaedri.</s>
              </p>
              <p>
                <s xml:id="echoid-s1690" xml:space="preserve">
                  <reg norm="Neque" type="simple">Neq;</reg>
                volo te ignorare
                  <reg norm="alium" type="context">aliũ</reg>
                  <reg norm="non" type="context">nõ</reg>
                  <reg norm="paruum" type="context">paruũ</reg>
                fuiſſe
                  <reg norm="errorem" type="context">errorẽ</reg>
                  <lb/>
                illius Zamberti: </s>
                <s xml:id="echoid-s1691" xml:space="preserve">cum
                  <reg norm="eodem" type="context">eodẽ</reg>
                capite affirmet angulos
                  <lb/>
                octoacdri rectos eſſe
                  <reg norm="cum" type="context">cũ</reg>
                ſint acuti,
                  <reg norm="nam" type="context">nã</reg>
                  <reg norm="vnuſquiſque" type="simple">vnuſquiſq;</reg>
                minor eſt angulo cubi ſolido.</s>
              </p>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum