Clavius, Christoph, Geometria practica

Table of handwritten notes

< >
[Handwritten note 45]
Page: 86
[Handwritten note 46]
Page: 116
[Handwritten note 47]
Page: 117
[Handwritten note 48]
Page: 118
[Handwritten note 49]
Page: 118
[Handwritten note 50]
Page: 118
[Handwritten note 48]
Page: 118
[Handwritten note 49]
Page: 118
[Handwritten note 50]
Page: 118
[Handwritten note 48]
Page: 118
[Handwritten note 49]
Page: 118
[Handwritten note 50]
Page: 118
[Handwritten note 51]
Page: 119
[Handwritten note 52]
Page: 119
[Handwritten note 53]
Page: 119
[Handwritten note 51]
Page: 119
[Handwritten note 52]
Page: 119
[Handwritten note 53]
Page: 119
[Handwritten note 51]
Page: 119
[Handwritten note 52]
Page: 119
[Handwritten note 53]
Page: 119
[Handwritten note 54]
Page: 125
[Handwritten note 55]
Page: 125
[Handwritten note 54]
Page: 125
[Handwritten note 55]
Page: 125
[Handwritten note 56]
Page: 188
[Handwritten note 57]
Page: 188
[Handwritten note 58]
Page: 189
[Handwritten note 59]
Page: 192
[Handwritten note 60]
Page: 192
< >
page |< < (138) of 450 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div356" type="section" level="1" n="148">
          <p>
            <s xml:id="echoid-s5389" xml:space="preserve">
              <pb o="138" file="168" n="168" rhead="GEOMETR. PRACT."/>
              <figure xlink:label="fig-168-01" xlink:href="fig-168-01a" number="99">
                <image file="168-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/168-01"/>
              </figure>
              <note style="it" position="right" xlink:label="note-168-01" xlink:href="note-168-01a" xml:space="preserve">
                <lb/>
              Vt K M, ſpatium inter men- \\ ſorem, & baculum, # ad M H, differentiam \\ inter baculum & ſta- \\ tur am menſoris: # Ita diſtantia K L, \\ quæ nota fiat per \\ aliquam menſu- \\ ram, # ad L C,
                <lb/>
              </note>
            producetur recta L C, cuiſi adijcietur ſtatura menſoris A L, tota altitudo pro-
              <lb/>
            poſita A C, cognita erit in partibus ſtaturæ menſoris, vel diſtantiæ K L.</s>
            <s xml:id="echoid-s5390" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5391" xml:space="preserve">2. </s>
            <s xml:id="echoid-s5392" xml:space="preserve">
              <emph style="sc">Qvod</emph>
            ſi acceſſus non pateat ad altitudinem A C, vt diſtantiam IA, me-
              <lb/>
            tiri poſsimus, figatur idem baculus, vel alius illi æqualis N O, accedendo vide-
              <lb/>
            licet propius ad altitudinem. </s>
            <s xml:id="echoid-s5393" xml:space="preserve">Deinde menſor retrocedat ad P, vt eius oculus in
              <lb/>
            Q@exiſtens per ſummitatem baculi O, iterum ſaſtigium C, videat: </s>
            <s xml:id="echoid-s5394" xml:space="preserve">ſeceturque
              <lb/>
              <note symbol="a" position="left" xlink:label="note-168-02" xlink:href="note-168-02a" xml:space="preserve">4. ſexti.</note>
            baculus NO, à recta KL in R. </s>
            <s xml:id="echoid-s5395" xml:space="preserve"> Et quia eſt, vt KM, ad MH, ita KL, ad L C: </s>
            <s xml:id="echoid-s5396" xml:space="preserve">
              <note symbol="b" position="left" xlink:label="note-168-03" xlink:href="note-168-03a" xml:space="preserve">8. quinti.</note>
            vt QR, ad RO, ita QL, ad LC: </s>
            <s xml:id="echoid-s5397" xml:space="preserve"> Eſt autem maior proportio KL, ad L C, quam QL, ad eandem LC; </s>
            <s xml:id="echoid-s5398" xml:space="preserve">erit quo que maior proportio K M, ad M H, quam Q R, ad
              <lb/>
            RO, ipſi MH, æqualem. </s>
            <s xml:id="echoid-s5399" xml:space="preserve">(Cum enim & </s>
            <s xml:id="echoid-s5400" xml:space="preserve">totæ G H, N O, & </s>
            <s xml:id="echoid-s5401" xml:space="preserve">ablatæ G M, N R, æ-
              <lb/>
              <note symbol="c" position="left" xlink:label="note-168-04" xlink:href="note-168-04a" xml:space="preserve">10. quinti.</note>
            quales ſint, erunt quo que reliquæ M H, R O, æquales) Igitur K M, maior erit, quàm QR. </s>
            <s xml:id="echoid-s5402" xml:space="preserve">Abſciſſa ergo K T, æquali ipſi QR, quoniam eſt, vt K M, ad M
              <note symbol="d" position="left" xlink:label="note-168-05" xlink:href="note-168-05a" xml:space="preserve">4. ſexti.</note>
            ita KL, ad LC; </s>
            <s xml:id="echoid-s5403" xml:space="preserve">erit permutando, vt KM, tota ad totam K L, ita M H, ad L C. </s>
            <s xml:id="echoid-s5404" xml:space="preserve">Ea-
              <lb/>
            demratione erit QR, hoc eſt, KT, ablata ex K M, ad QL, ablatã ex KL, vt RO,
              <lb/>
            ad L C, hoc eſt, vt M H, ad L C. </s>
            <s xml:id="echoid-s5405" xml:space="preserve">Igitur & </s>
            <s xml:id="echoid-s5406" xml:space="preserve">reliqua T M, ad reliquam K Q erit vt
              <lb/>
            tota KM, ad totam KL: </s>
            <s xml:id="echoid-s5407" xml:space="preserve">Vt autem K M, ad K L, ita paulo ante oſtendimus eſſe
              <lb/>
            MH, ad LC. </s>
            <s xml:id="echoid-s5408" xml:space="preserve">Quapropter ſi fiat.
              <lb/>
            </s>
            <s xml:id="echoid-s5409" xml:space="preserve">
              <note style="it" position="right" xlink:label="note-168-06" xlink:href="note-168-06a" xml:space="preserve">
                <lb/>
              Vt T M, differentia inter ſpatia \\ K M, & Q R, vel K T, à \\ menſore vſque ad baculos, # ad K Q, diffe- \\ rentiam ſta- \\ tionum. # Ita MH, differentia \\ inter baculum & \\ menſoris ſtatur am, # ad L C,
                <lb/>
              </note>
            efficietur nota LC, cuiſi addetur ſtatura menſoris AL, nota quoq; </s>
            <s xml:id="echoid-s5410" xml:space="preserve">euadet pro-
              <lb/>
            poſita altitudo AC.</s>
            <s xml:id="echoid-s5411" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5412" xml:space="preserve">3. </s>
            <s xml:id="echoid-s5413" xml:space="preserve">
              <emph style="sc">Iam</emph>
            ſi prima ſtatio fiatin Q. </s>
            <s xml:id="echoid-s5414" xml:space="preserve">& </s>
            <s xml:id="echoid-s5415" xml:space="preserve">ſecunda in K, recedendo magis ab altitu-
              <lb/>
            dine, non variabitur praxis & </s>
            <s xml:id="echoid-s5416" xml:space="preserve">demonſtratio, vt liquet.</s>
            <s xml:id="echoid-s5417" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5418" xml:space="preserve">DISTANTIAM in plano Horizontis inter menſorem, & </s>
            <s xml:id="echoid-s5419" xml:space="preserve">ſignum
              <lb/>
            quoduis beneficio normæ adinuenire.</s>
            <s xml:id="echoid-s5420" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div359" type="section" level="1" n="149">
          <head xml:id="echoid-head152" xml:space="preserve">PROBLEMA XXXI.</head>
          <p>
            <s xml:id="echoid-s5421" xml:space="preserve">1. </s>
            <s xml:id="echoid-s5422" xml:space="preserve">
              <emph style="sc">Proposita</emph>
            ſit diſtantia AB. </s>
            <s xml:id="echoid-s5423" xml:space="preserve">In A, loco menſoris figatur ad angulos re-
              <lb/>
            ctosbaculus A C, paulò minor ſtatura menſoris, & </s>
            <s xml:id="echoid-s5424" xml:space="preserve">per menſurã, per quam mẽ-
              <lb/>
            foris ſtatura cognita eſt, notus. </s>
            <s xml:id="echoid-s5425" xml:space="preserve">Angulus deinde rectus normæ C, ſummitati </s>
          </p>
        </div>
      </text>
    </echo>
Impressum