Clavius, Christoph, Geometria practica

Table of figures

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          <pb o="120" file="150" n="150" rhead="GEOMETR. PRACT."/>
          <p>
            <s xml:id="echoid-s4673" xml:space="preserve">cognita erit diſtantia F G, quæſita in partibus turris notæ.</s>
            <s xml:id="echoid-s4674" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4675" xml:space="preserve">
              <emph style="sc">Si</emph>
            autem vmbra verſa ſecetur in E, & </s>
            <s xml:id="echoid-s4676" xml:space="preserve">fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt vmbra verſa \\ D E, # ad latus D A, par- \\ tium 1000. # Ita A F, altitudo turris co- \\ gnita # ad F G,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4677" xml:space="preserve">efficietur quo que nota eadem diſtantia F G, in partibus turris cognitæ.</s>
            <s xml:id="echoid-s4678" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4679" xml:space="preserve">2. </s>
            <s xml:id="echoid-s4680" xml:space="preserve">
              <emph style="sc">Per</emph>
            quadratum ſtabile eandem quo que diſtantiam adipiſceris. </s>
            <s xml:id="echoid-s4681" xml:space="preserve">Site-
              <lb/>
            nim rurſus turris quæpiam D E, & </s>
            <s xml:id="echoid-s4682" xml:space="preserve">diſtantia metienda E G, vel E H, vel E F. </s>
            <s xml:id="echoid-s4683" xml:space="preserve">Si
              <lb/>
            igitur dio ptra ſecet latus vmbræ rectæ in I. </s>
            <s xml:id="echoid-s4684" xml:space="preserve">Et fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt latus quadrati \\ AD, 1000. # ad vmbram \\ rectam D I: # Ita altitudo A E, ex turre & la- \\ tere quadrati A D, conflata. # ad E G,
            <lb/>
          </note>
          <figure number="78">
            <image file="150-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/150-01"/>
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          <p>
            <s xml:id="echoid-s4685" xml:space="preserve">prodibit diſtantia quæſita E G.</s>
            <s xml:id="echoid-s4686" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4687" xml:space="preserve">
              <emph style="sc">Si</emph>
            autem dioptra per C. </s>
            <s xml:id="echoid-s4688" xml:space="preserve">tranſeat, erit
              <lb/>
            diſtantia E H, altitudini A E, notæ æqua-
              <lb/>
            lis.</s>
            <s xml:id="echoid-s4689" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4690" xml:space="preserve">
              <emph style="sc">Si</emph>
            denique vmbra verſa interſecetur
              <lb/>
            in K; </s>
            <s xml:id="echoid-s4691" xml:space="preserve">fiat autem,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt vmbra verſa \\ B K, # ad latus quadrati \\ 1000. # Ita altitudo nota A E, # ad E F,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4692" xml:space="preserve">inuenietur diſtantia EF, in partibus altitudinis A E,</s>
          </p>
          <p>
            <s xml:id="echoid-s4693" xml:space="preserve">
              <emph style="sc">Hæc</emph>
            enim omnia in 2. </s>
            <s xml:id="echoid-s4694" xml:space="preserve">problem. </s>
            <s xml:id="echoid-s4695" xml:space="preserve">Num. </s>
            <s xml:id="echoid-s4696" xml:space="preserve">1. </s>
            <s xml:id="echoid-s4697" xml:space="preserve">& </s>
            <s xml:id="echoid-s4698" xml:space="preserve">2. </s>
            <s xml:id="echoid-s4699" xml:space="preserve">demonſtrata ſunt.</s>
            <s xml:id="echoid-s4700" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4701" xml:space="preserve">3. </s>
            <s xml:id="echoid-s4702" xml:space="preserve">
              <emph style="sc">Qvod</emph>
            ſi altitudo turris cognita non ſit, inueſtiganda ea primum erit per
              <lb/>
            problema 8. </s>
            <s xml:id="echoid-s4703" xml:space="preserve">vel 9. </s>
            <s xml:id="echoid-s4704" xml:space="preserve">vel potius per ſcholium problem. </s>
            <s xml:id="echoid-s4705" xml:space="preserve">9. </s>
            <s xml:id="echoid-s4706" xml:space="preserve">aut certe, ſi commode
              <lb/>
            fieri poſsit, per chordam aliquam cum appenſo perpendiculo demiſſam explo-
              <lb/>
            randa. </s>
            <s xml:id="echoid-s4707" xml:space="preserve">Deinde procedendum erit, vt Num 1. </s>
            <s xml:id="echoid-s4708" xml:space="preserve">& </s>
            <s xml:id="echoid-s4709" xml:space="preserve">2. </s>
            <s xml:id="echoid-s4710" xml:space="preserve">dictum eſt.</s>
            <s xml:id="echoid-s4711" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4712" xml:space="preserve">
              <emph style="sc">Vervm</emph>
            ſine cognitione turris idem aſſequemur ea ratione, quain problem.
              <lb/>
            </s>
            <s xml:id="echoid-s4713" xml:space="preserve">6. </s>
            <s xml:id="echoid-s4714" xml:space="preserve">vel 7. </s>
            <s xml:id="echoid-s4715" xml:space="preserve">altitudinem propoſitam indagauimus, etiamſi diſtantia vſque ad alti-
              <lb/>
            tudinem ſit ignota. </s>
            <s xml:id="echoid-s4716" xml:space="preserve">Nam ſi in 6. </s>
            <s xml:id="echoid-s4717" xml:space="preserve">problemate turris ſit d f, diſtantia autem me-
              <lb/>
            tien da FG, effi ciemus illud, ſi in haſta aliqua erecta d A, fiant duæ ſtationes o-
              <lb/>
            culi, in a A. </s>
            <s xml:id="echoid-s4718" xml:space="preserve">Solum quod ibi dictum eſt de vmbra verſa, hic de recta intelligatur,
              <lb/>
            & </s>
            <s xml:id="echoid-s4719" xml:space="preserve">contra.</s>
            <s xml:id="echoid-s4720" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4721" xml:space="preserve">
              <emph style="sc">Pari</emph>
            ratione, ſi in 7. </s>
            <s xml:id="echoid-s4722" xml:space="preserve">problemate turris ſit d F, & </s>
            <s xml:id="echoid-s4723" xml:space="preserve">diſtantia metienda F G,
              <lb/>
            inueniemus eam, ſi in plano ſummitatis turris fiant duæ ſtationes oculi in A, a.
              <lb/>
            </s>
            <s xml:id="echoid-s4724" xml:space="preserve">Solum quod ibi dicitur de vmbra verſa, hic etiam de recta intelligatur. </s>
            <s xml:id="echoid-s4725" xml:space="preserve">Nam ſi
              <lb/>
            figuræ problem. </s>
            <s xml:id="echoid-s4726" xml:space="preserve">6. </s>
            <s xml:id="echoid-s4727" xml:space="preserve">& </s>
            <s xml:id="echoid-s4728" xml:space="preserve">7. </s>
            <s xml:id="echoid-s4729" xml:space="preserve">hoc eſt, figuræ problem. </s>
            <s xml:id="echoid-s4730" xml:space="preserve">3. </s>
            <s xml:id="echoid-s4731" xml:space="preserve">& </s>
            <s xml:id="echoid-s4732" xml:space="preserve">4. </s>
            <s xml:id="echoid-s4733" xml:space="preserve">inuertantur, vt altitu-
              <lb/>
            dines fiant A F, A F, latus quadrati D C, ad vmbram rectam, & </s>
            <s xml:id="echoid-s4734" xml:space="preserve">B C, ad verſam
              <lb/>
            pertinebit, vt initio huius libri in conſtru ctione quadrati Num. </s>
            <s xml:id="echoid-s4735" xml:space="preserve">4. </s>
            <s xml:id="echoid-s4736" xml:space="preserve">explicauimus.</s>
            <s xml:id="echoid-s4737" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4738" xml:space="preserve">
              <emph style="sc">Sed</emph>
            hanc diſtantiam longè facilius in ſcholio præcedentis problematis in-
              <lb/>
            uenimus per vnicam ſtationem, vt patuit in diſtantia EF, & </s>
            <s xml:id="echoid-s4739" xml:space="preserve">c.</s>
            <s xml:id="echoid-s4740" xml:space="preserve"/>
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