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
51 39
52 40
53 41
54 42
55 43
56 44
57 45
58 46
59 47
60 48
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
< >
page |< < (359) 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-div477" type="chapter" level="2" n="6">
            <div xml:id="echoid-div690" type="section" level="3" n="32">
              <div xml:id="echoid-div693" type="letter" level="4" n="2">
                <p>
                  <s xml:id="echoid-s4304" xml:space="preserve">
                    <pb o="359" rhead="EPISTOL AE." n="371" file="0371" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0371"/>
                  puncto
                    <var>.i.</var>
                  ex communi conceptu, &
                    <lb/>
                    <figure xlink:label="fig-0371-01" xlink:href="fig-0371-01a" number="410">
                      <image file="0371-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0371-01"/>
                    </figure>
                  parallcla erit ipſi
                    <var>.d.b.</var>
                  ex. ſecunda par-
                    <lb/>
                  te ſecundæ ſexti, vnde ex prima parte
                    <lb/>
                  ciuſdem, ita eritipſius
                    <var>.b.i.</var>
                  ad
                    <var>.i.a.</var>
                  vt
                    <var>.d.
                      <lb/>
                    c.</var>
                  ad
                    <var>.c.a.</var>
                  & coniunctim ita erit ipſius
                    <var>.b.
                      <lb/>
                    a.</var>
                  ad
                    <var>.a.i.</var>
                  vt ipſius
                    <var>.d.a.</var>
                  ad
                    <var>.a.c.</var>
                  & permu
                    <lb/>
                  tatim ipſius
                    <var>.a.b.</var>
                  ad
                    <var>.a.d.</var>
                  erit, vt
                    <var>.a.i.</var>
                    <lb/>
                  ad
                    <var>.a.c.</var>
                  ſed cum
                    <var>.a.u.</var>
                  maior ſit ipſa
                    <var>.a.i.</var>
                    <lb/>
                  vt omne totum maius eſt ſua parte.
                    <lb/>
                  </s>
                  <s xml:id="echoid-s4305" xml:space="preserve">maior proportio erit ipſius
                    <var>.a.u.</var>
                  ad
                    <var>.a.
                      <lb/>
                    c.</var>
                  quam ipſius
                    <var>.a.i.</var>
                  ad
                    <var>.a.c.</var>
                  hoc eſt quam
                    <lb/>
                  ipſius
                    <var>.a.b.</var>
                  ad
                    <var>.a.d</var>
                  . </s>
                  <s xml:id="echoid-s4306" xml:space="preserve">Verum igitur eſt
                    <lb/>
                  propoſitum.</s>
                </p>
              </div>
              <div xml:id="echoid-div695" type="letter" level="4" n="3">
                <head xml:id="echoid-head528" style="it" xml:space="preserve">De differentia caloris Solis reſpectu altitudinis ipſius.</head>
                <head xml:id="echoid-head529" xml:space="preserve">AD EVNDEM.</head>
                <p>
                  <s xml:id="echoid-s4307" xml:space="preserve">QVodà me poſtulas deinde, ita ſe habet. </s>
                  <s xml:id="echoid-s4308" xml:space="preserve">Inquis enim, quod cum differentia
                    <lb/>
                  inter maiorem,
                    <reg norm="minoremque" type="simple">minoremq́;</reg>
                  calorem, oriatur etiam ex differentia maioris
                    <lb/>
                  quantitatis vaporum ad minorem, per quam quantitatem vaporum rranſit lumen
                    <lb/>
                  Solis (vt alias etiam tibi dixi) velles nunc ſcire quantitatem ipſius differentię, quæ
                    <lb/>
                  inter duas Solis datas altitudines ſupra orizontem reperitur.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4309" xml:space="preserve">Quapropter imaginemur circulum
                    <var>.a.e.</var>
                  pro magno terræ, et
                    <var>.z.b.d.</var>
                  pro magno
                    <lb/>
                  vaporum, ſupponatur etiam quod angulus
                    <var>.z.o.d.</var>
                  vel
                    <var>.z.a.b.</var>
                  qui ſunt inuicem fe-
                    <lb/>
                  rè æquales, ſit angulus diſtantiæ Solis à zenit,
                    <var>z.a.</var>
                  verò ſit ſpiſſitudo vaporum, et
                    <var>.a.
                      <lb/>
                    b.</var>
                  radius tranſiens per vapores dictos. </s>
                  <s xml:id="echoid-s4310" xml:space="preserve">nunc
                    <lb/>
                    <figure xlink:label="fig-0371-02" xlink:href="fig-0371-02a" number="411">
                      <image file="0371-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0371-02"/>
                    </figure>
                  quæratur proportio, quæ eſt inter
                    <var>.a.b.</var>
                  et
                    <var>.a.
                      <lb/>
                    z.</var>
                  qua inuenta, angulo
                    <var>.z.a.b.</var>
                  mediante,
                    <lb/>
                  quæremus eandem mediante angulo
                    <var>.z.a.b.</var>
                    <lb/>
                  maiore priori, velipſo minore, vnde cogno
                    <lb/>
                  ſcemus differentiam duarum
                    <var>.a.b.</var>
                  quæ qui-
                    <lb/>
                  dem inæquales inuicem erunt, eo quod ſup
                    <lb/>
                  ponatur
                    <var>.a.z.</var>
                  immutabilis, & hoc ita facie-
                    <lb/>
                  mus. </s>
                  <s xml:id="echoid-s4311" xml:space="preserve">Imaginabimur
                    <var>.o.b.</var>
                  quæ claudat trian
                    <lb/>
                  gulum
                    <var>.a.b.o.</var>
                  & quia
                    <var>.a.z.</var>
                  cognita eſt quam
                    <lb/>
                  Alhazem docetinuenire, cognoſcimus
                    <reg norm="etiam" type="context">etiã</reg>
                    <lb/>
                    <var>o.a.</var>
                  vt ſemidiametrum terræ, vnde
                    <var>.o.b.</var>
                  et
                    <var>.
                      <lb/>
                    o.a.</var>
                  duo latera trianguli
                    <var>.a.o.b.</var>
                  cognita
                    <reg norm="erunt" type="context">erũt</reg>
                    <lb/>
                  ſimul cum angulo
                    <var>.o.a.b.</var>
                  reſiduo duorum re
                    <lb/>
                  ctorum, eo quod reliquus
                    <var>.z.a.b.</var>
                  datus eſt.
                    <lb/>
                  </s>
                  <s xml:id="echoid-s4312" xml:space="preserve">Quare
                    <var>.a.b.</var>
                  cognita erit reſpectu
                    <var>.o.a.</var>
                  et
                    <var>.o.
                      <lb/>
                    b.</var>
                  et
                    <var>.a.z.</var>
                  quæ eſt eorum differentia. </s>
                  <s xml:id="echoid-s4313" xml:space="preserve">Nunc
                    <lb/>
                  ſi idem faciemus cum alia
                    <var>.a.b.</var>
                  ſub diuerſo
                    <lb/>
                  angulo, habebimus propoſitum.</s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum