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
61 49
62 50
63 51
64 52
65 53
66 54
67 55
68 56
69 57
70 58
71 59
72 60
73 61
74 62
75 63
76 64
77 65
78 66
79 67
80 70
81 71
82 70
83 71
84 72
85 73
86 74
87 75
88 76
89 77
90 78
< >
page |< < (149) 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-div352" type="section" level="3" n="7">
              <p>
                <s xml:id="echoid-s1783" xml:space="preserve">
                  <pb o="149" rhead="DE MECHAN." n="161" file="0161" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0161"/>
                proportio
                  <reg norm="ponderis" type="context">põderis</reg>
                  <var>.a.</var>
                ad pon
                  <lb/>
                dusipſius
                  <var>.b.</var>
                eadem ſit cum
                  <lb/>
                ea quę eſt
                  <var>.o.t.</var>
                ad
                  <var>.o.e.</var>
                ſub co
                  <lb/>
                  <reg norm="gnitionem" type="context">gnitionẽ</reg>
                noſtram cadere po
                  <lb/>
                teſt, primum cognoſcendo
                  <lb/>
                angulos obliquitatis librę,
                  <lb/>
                ideſt angulos
                  <var>.b.o.u.</var>
                et
                  <var>.a.o.
                    <lb/>
                  u.</var>
                quia oportet ſemper ſup-
                  <lb/>
                  <figure xlink:label="fig-0161-01" xlink:href="fig-0161-01a" number="218">
                    <image file="0161-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0161-01"/>
                  </figure>
                ponere ſitum aliquem no-
                  <lb/>
                tum. </s>
                <s xml:id="echoid-s1784" xml:space="preserve">Si nobis deinde co-
                  <lb/>
                gnita erit proportio ipſius
                  <var>.
                    <lb/>
                  o.u.</var>
                ad
                  <var>.o.b.</var>
                et. ad
                  <var>.o.a.</var>
                aſſe-
                  <lb/>
                quemur cognitionem angu
                  <lb/>
                li
                  <var>.b.</var>
                et
                  <var>.o.a.u.</var>
                & per conſe-
                  <lb/>
                quens ipſius
                  <var>.o.a.t.</var>
                eius reſi-
                  <lb/>
                dui, vnde poſtea beneficio
                  <lb/>
                angulorum
                  <var>.e.</var>
                et
                  <var>.t.</var>
                rectorum
                  <lb/>
                & laterum
                  <var>.o.b.</var>
                et
                  <var>.o.a.</var>
                cogni
                  <lb/>
                torum in cognitionem
                  <var>.o.t.</var>
                  <lb/>
                et
                  <var>.o.e.</var>
                facile deueniemus.</s>
              </p>
            </div>
            <div xml:id="echoid-div354" type="section" level="3" n="8">
              <head xml:id="echoid-head209" xml:space="preserve">CAP. VIII.</head>
              <p>
                <s xml:id="echoid-s1785" xml:space="preserve">QVod autem idem Tartalea in .6. propoſitione, & Iordanus in ſecunda parte.
                  <lb/>
                </s>
                <s xml:id="echoid-s1786" xml:space="preserve">ſecundæ propoſitionis ſcribunt, maximum quoque errorem inſe continet.
                  <lb/>
                </s>
                <s xml:id="echoid-s1787" xml:space="preserve">Dicunt enim
                  <reg norm="angulum" type="context">angulũ</reg>
                  <lb/>
                  <var>h.a.f.</var>
                differentem ab
                  <lb/>
                angulo
                  <var>.d.b.f.</var>
                alia ra-
                  <lb/>
                tione non eſſe quàm
                  <lb/>
                per angulum conta-
                  <lb/>
                ctus
                  <reg norm="duorum" type="context">duorũ</reg>
                  <reg norm="circulorum" type="context">circulorũ</reg>
                ,
                  <lb/>
                vt in ſua figura ſcribit
                  <lb/>
                Tartalea; </s>
                <s xml:id="echoid-s1788" xml:space="preserve">id quod fal-
                  <lb/>
                ſiſſimum eſt. </s>
                <s xml:id="echoid-s1789" xml:space="preserve">
                  <reg norm="Quam" type="context">Quã</reg>
                ob
                  <lb/>
                cauſam in ſubſcripta
                  <lb/>
                figura ſit libra
                  <var>.B.A.</var>
                  <lb/>
                  <figure xlink:label="fig-0161-02" xlink:href="fig-0161-02a" number="219">
                    <image file="0161-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0161-02"/>
                  </figure>
                & eius centrum. </s>
                <s xml:id="echoid-s1790" xml:space="preserve">C et
                  <var>.
                    <lb/>
                  u.</var>
                  <reg norm="centrum" type="context">centrũ</reg>
                regionis ele
                  <lb/>
                mentaris, et
                  <var>.A.u.</var>
                et
                  <var>.B.
                    <lb/>
                  u.</var>
                lineæ
                  <reg norm="inclinationum" type="context">inclinationũ</reg>
                .
                  <lb/>
                </s>
                <s xml:id="echoid-s1791" xml:space="preserve">Imaginemur deinde
                  <lb/>
                lineam
                  <var>.B.K.</var>
                  <reg norm="parallelam" type="context">parallelã</reg>
                  <lb/>
                ipſi
                  <var>.A.u.</var>
                quæ gyrum
                  <var>.
                    <lb/>
                  B.F.A.</var>
                in puncto
                  <var>.K.</var>
                  <lb/>
                communi ſcientiæ
                  <reg norm="prae­ cepto" type="simple">prę­
                    <lb/>
                  cepto</reg>
                ſcindet, & habe
                  <lb/>
                bimus angulum
                  <var>.K.B.
                    <lb/>
                  Z.</var>
                æqualem angulo
                  <var>.
                    <lb/>
                  H.A.F.</var>
                ideſt
                  <var>.u.A.F.</var>
                  <lb/>
                (quia
                  <var>.H.u.</var>
                et
                  <var>.D.</var>
                  <reg norm="unum" type="context">unũ</reg>
                  <lb/>
                ſunt) cum ex .29. libr.
                  <lb/>
                primi Euclidis angu- </s>
              </p>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum