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 |< < (109) 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-div7" type="chapter" level="2" n="1">
            <div xml:id="echoid-div293" type="appendix" level="3" n="1">
              <p>
                <s xml:id="echoid-s1398" xml:space="preserve">
                  <pb o="109" rhead="THEOREM. ARIT." n="121" file="0121" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0121"/>
                cum dimidio, ut in figura
                  <var>.C.</var>
                geometrica hic ſubſcripta videre licet, et
                  <var>.q.p.</var>
                erit .21.
                  <lb/>
                Cogitemus nunc differentiam
                  <var>.d.i.</var>
                diuiſam eſſe in puncto
                  <var>.e.</var>
                ita vt eadem proportio
                  <lb/>
                ſit ipſius
                  <var>.d.e.</var>
                ad
                  <var>.e.i.</var>
                quæ ipſius
                  <var>.q.g.</var>
                ad
                  <var>.g.p.</var>
                hoc eſt vt .1 2. ad .9. quapropter
                  <var>.d.e.</var>
                erit
                  <num value="2">.
                    <lb/>
                  2.</num>
                et
                  <var>.e.i.</var>
                erit .1. cum dimidio, vt in dicta figura
                  <var>.C.</var>
                arithmetica reperiuntur eſſe dif-
                  <lb/>
                ferentiæ ipſorum antecedentium numerorum, deinde à puncto
                  <var>.e.</var>
                ducatur imagina-
                  <lb/>
                tione
                  <var>.u.e.o.</var>
                æ quidiſtans ipſi
                  <var>.q.p.</var>
                & producatur
                  <var>.q.n.</var>
                vſque ad
                  <var>.u.</var>
                vnde ita ſe habebit
                  <lb/>
                  <var>u.e.</var>
                ad
                  <var>.e.o.</var>
                ut
                  <var>.q.g.</var>
                ad
                  <var>g.p</var>
                . </s>
                <s xml:id="echoid-s1399" xml:space="preserve">quare vt
                  <var>.d.e.</var>
                ad
                  <var>.e.i.</var>
                ideo ex .15. ſexti vel .20. ſeptimi
                  <var>.n.e.</var>
                  <lb/>
                rectangulum æquale crit ipſi
                  <var>.e.f.</var>
                qua propter rectang ulum
                  <var>.q.o.</var>
                æquale erit duobus
                  <lb/>
                rectangulis
                  <var>.f.g.</var>
                et
                  <var>.g.n</var>
                : ſed cum
                  <var>.g.i.</var>
                ſit vt .6. cum dimidio, et
                  <var>.i.e.</var>
                vt .1. cum dimidio, er
                  <lb/>
                go
                  <var>.g.e.</var>
                erit ut .8. qui quidem numerus multiplicatus cum
                  <var>.q.p.</var>
                21. producit .168. ve
                  <lb/>
                rum eſt igitur quod dictum fuit, hoc eſt
                  <reg norm="quod" type="simple">ꝙ</reg>
                maximum productum ęquale ſit reliquis
                  <lb/>
                duobus.</s>
              </p>
              <figure position="here" number="165">
                <image file="0121-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0121-01"/>
              </figure>
              <figure position="here" number="166">
                <image file="0121-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0121-02"/>
              </figure>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum