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
31 19
32 20
33 21
34 22
35 23
36 24
37 25
38 26
39 27
40 28
41 29
42 30
43 31
44 32
45 33
46 34
47 35
48 36
49 37
50 38
51 39
52 40
53 41
54 42
55 43
56 44
57 45
58 46
59 47
60 48
< >
page |< < (308) 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-div591" type="section" level="3" n="22">
              <div xml:id="echoid-div601" type="letter" level="4" n="5">
                <pb o="308" rhead="IO. BAPT. BENED." n="320" file="0320" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0320"/>
              </div>
              <div xml:id="echoid-div603" type="letter" level="4" n="6">
                <head xml:id="echoid-head467" style="it" xml:space="preserve">De duobus triangulis equalibus inter lineas
                  <lb/>
                inuicem inclinatas.</head>
                <head xml:id="echoid-head468" xml:space="preserve">AD EVNDEM.</head>
                <p>
                  <s xml:id="echoid-s3792" xml:space="preserve">TV mihi vltimò proponis duas lineas rectas
                    <var>.b.f.</var>
                  et
                    <var>.q.s.</var>
                  in eadem ſuperficie pla-
                    <lb/>
                  na, non tamen inuicem æqu idiſtantes, proponis etiam
                    <var>.n.t.</var>
                  in eadem ſuperfi-
                    <lb/>
                  cie, quæ vnamquamque priorum ſecat, proponis etiam lineam
                    <var>.h.</var>
                  tali conditione,
                    <lb/>
                  quod nulli dictarum ſit parallela, </s>
                  <s xml:id="echoid-s3793" xml:space="preserve">deinde ſcire cupis qua arte aliquis poſſet ducere
                    <var>.
                      <lb/>
                    c.u.</var>
                  parallelam ad
                    <var>.h.</var>
                  ita quod ſecando
                    <var>.n.t.</var>
                  conſtituat duos triangulos
                    <var>.n.o.u.</var>
                  et
                    <var>.t.o.e.</var>
                    <lb/>
                  inuicem æquales.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3794" xml:space="preserve">Facita, producas primò duas primas lineas à parte, in qua inuicem inclinantur,
                    <lb/>
                  vſque ad concurſum in puncto
                    <var>.i</var>
                  . </s>
                  <s xml:id="echoid-s3795" xml:space="preserve">deinde à puncto
                    <var>.n.</var>
                  duces
                    <var>.n.c.</var>
                    <reg norm="parallelam" type="context">parallelã</reg>
                  ad
                    <var>.h.</var>
                  poſtea
                    <lb/>
                  ex .25. ſexti Eucli. conſtitues
                    <reg norm="triangulum" type="context">triãgulum</reg>
                    <var>.i.u.e.</var>
                  ſimile triangulo
                    <var>.i.c.n.</var>
                  æquale tamen
                    <lb/>
                  triangulo
                    <var>.i.t.n.</var>
                  & ſolutum erit problema.
                    <lb/>
                  </s>
                  <s xml:id="echoid-s3796" xml:space="preserve">Velſic, inuenies
                    <var>.i.e.</var>
                  mediam
                    <lb/>
                    <figure xlink:label="fig-0320-01" xlink:href="fig-0320-01a" number="344">
                      <image file="0320-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0320-01"/>
                    </figure>
                  proportionalem inter
                    <var>.i.c.</var>
                  &
                    <lb/>
                    <var>i.t.</var>
                  duces poſtea
                    <var>.e.u.</var>
                  paralle-
                    <lb/>
                  lam lineę
                    <var>.h.</var>
                  vel
                    <var>.c.n.</var>
                  quod
                    <reg norm="idem" type="context">idẽ</reg>
                    <lb/>
                  erit ex .30. primi Eucli. </s>
                  <s xml:id="echoid-s3797" xml:space="preserve">& ſo-
                    <lb/>
                  lutum erit problema.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3798" xml:space="preserve">Nam ex .17. ſexti eadem
                    <lb/>
                  proportio erittrianguli
                    <var>.i.c.
                      <lb/>
                    n.</var>
                  ad triangulum
                    <var>.i.e.u.</var>
                  ut
                    <var>.i.c.</var>
                    <lb/>
                  ad
                    <var>.i.t</var>
                  . </s>
                  <s xml:id="echoid-s3799" xml:space="preserve">Quare ut trianguli
                    <var>.i.
                      <lb/>
                    c.n.</var>
                  ad
                    <reg norm="triangulum" type="context">triangulũ</reg>
                    <var>.i.t.n.</var>
                  ex pri-
                    <lb/>
                  ma ſexti, et .11. quinti. </s>
                  <s xml:id="echoid-s3800" xml:space="preserve">Vnde
                    <lb/>
                  ex .9. eiuſdem
                    <var>.i.e.u.</var>
                  æqualis
                    <lb/>
                  erit
                    <var>.i.t.n</var>
                  . </s>
                  <s xml:id="echoid-s3801" xml:space="preserve">Quapropter
                    <var>.o.n.u.</var>
                    <lb/>
                  æqualis etiam erit
                    <var>.o.e.t</var>
                  .</s>
                </p>
              </div>
            </div>
            <div xml:id="echoid-div606" type="section" level="3" n="23">
              <div xml:id="echoid-div606" type="letter" level="4" n="1">
                <head xml:id="echoid-head469" xml:space="preserve">SOLVTIONES NONNVLLAE QVOR VNDAM
                  <lb/>
                problematum.</head>
                <head xml:id="echoid-head470" style="it" xml:space="preserve">Thaodoſio à Raifestaim.</head>
                <p>
                  <s xml:id="echoid-s3802" xml:space="preserve">
                    <emph style="sc">DVritandvm</emph>
                  profecto non eſt, quin quotidie hominibus ſtudioſis ali-
                    <lb/>
                  quid noui deſit, quemadmodum, quod tibi nunc occurrit, mihi non-
                    <lb/>
                  nunquam accidit, hoc eſt inuenire orizontem, cui aliqua propoſita ſtel
                    <lb/>
                  la oriatur cum gradu ipſius longitudinis. </s>
                  <s xml:id="echoid-s3803" xml:space="preserve">pro
                    <reg norm="cuius" type="simple">cuiꝰ</reg>
                  rei operatione te prius
                    <lb/>
                  ſcire oportebit vtrum ſtella in ſignis aſcendentibus, vel deſcendentibus reperiatur,
                    <lb/>
                  hoc eſt in ſignis, quę à Capricorno ad Cancrum procedunt, vel in illis, quę à Can-
                    <lb/>
                  cro ad Capricornum numerantur, </s>
                  <s xml:id="echoid-s3804" xml:space="preserve">propterea quod ſi in ſignis aſcendentibus inue-
                    <lb/>
                  nitur, ſciendum eſt, quod ſupra talem orizontem polus mundi auſtralis attollitur,
                    <lb/>
                  ſed ſi in ſignis deſcendentibus reperitur, </s>
                  <s xml:id="echoid-s3805" xml:space="preserve">tunc polus borealis eleuatur ſupra dictum </s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum