Clavius, Christoph, Geometria practica

Page concordance

< >
Scan Original
191 161
192 162
193 163
194 164
195 165
196 166
197 167
198 168
199 169
200 170
201 171
202 172
203 173
204 174
205 175
206 176
207 177
208 178
209 179
210 180
211 181
212 182
213 183
214 184
215 185
216 186
217 187
218 188
219 189
220 190
< >
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