Clavius, Christoph, Geometria practica

Table of contents

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[141.] PROBLEMA XXIV.
Page: 161 (131)
[142.] PROBLEMA XXV.
Page: 161 (131)
[143.] SCHOLIVM.
Page: 162 (132)
[144.] PROBLEMA XXVI.
Page: 162 (132)
[145.] PROBLEMA XXVII.
Page: 164 (134)
[146.] PROBLEMA XXVIII.
Page: 166 (163)
[147.] PROBLEMA XXIX.
Page: 167 (137)
[148.] PROBLEMA XXX.
Page: 167 (137)
[149.] PROBLEMA XXXI.
Page: 168 (138)
[150.] PROBLEMA XXXII.
Page: 169 (139)
[151.] PROBLEMA XXXIII.
Page: 169 (139)
[152.] PROBLEMA XXXIV.
Page: 170 (140)
[153.] PROBLEMA XXXV.
Page: 171 (141)
[154.] PROBLEMA XXXVI.
Page: 172 (142)
[155.] PROBLEMA XXXVII.
Page: 172 (142)
[156.] PROBLEMA XXXVIII.
Page: 173 (143)
[157.] PROBLEMA XXXIX.
Page: 174 (144)
[158.] ALITER.
Page: 174 (144)
[159.] ALITER.
Page: 175 (145)
[160.] PROBLEMA XL.
Page: 175 (145)
[161.] ALITER.
Page: 176 (146)
[162.] PROBLEMA XLI.
Page: 177 (147)
[163.] PROBLEMA XLII.
Page: 177 (147)
[164.] PROBLEMA XLIII.
Page: 181 (151)
[165.] PROBLEMA XLIV.
Page: 182 (152)
[166.] SCHOLIVM.
Page: 182 (152)
[167.] PROBLEMA XLV.
Page: 183 (153)
[168.] FINIS LIBRI TERTII.
Page: 186 (156)
[169.] GEOMETRIÆ PRACTICÆ LIBER QVARTVS.
Page: 187 (157)
[170.] AREAS
Page: 187 (157)
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          <p>
            <s xml:id="echoid-s4487" xml:space="preserve">5. </s>
            <s xml:id="echoid-s4488" xml:space="preserve">
              <emph style="sc">Distantia</emph>
            autem A G, vel HI, cognita euadet, ſi fiat,</s>
          </p>
          <note symbol="a" position="left" xml:space="preserve">2. ſexti. &
            <lb/>
          componendo.</note>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt portio dioptræ A E, in pri- \\ mo Quadrato, vel a c, in 2. \\ Quadrato, # ad hypotenuſam \\ AF, vela F, # Ita lat{us} A D, \\ in 1. Quadrato \\ vel a d, in 2. \\ Quadrato # ad A G, in \\ 1. quadrato \\ vel ad a G, \\ in ſecundo.
            <lb/>
          </note>
        </div>
        <div xml:id="echoid-div286" type="section" level="1" n="123">
          <head xml:id="echoid-head126" xml:space="preserve">
            <emph style="sc">Vel</emph>
          </head>
          <p>
            <s xml:id="echoid-s4489" xml:space="preserve">Ducta EL, lateri AB, parallela in tertio quadrato,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt A E, portio dio- \\ ptræ, # ad hypotenuſam \\ A F, # Ita vmbrarecta B E, ipſi \\ AL, æqualis, # ad AG.
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4490" xml:space="preserve">
              <emph style="sc">Vides</emph>
            igitur, in hac ratione dimetiendę altitudinis, ac diſtantię, etiam inac-
              <lb/>
            ceſsibilis, opus non eſſe duabus ſtationibus ſiue in plano, ſiue in haſta aliqua
              <lb/>
            erecta faciendis; </s>
            <s xml:id="echoid-s4491" xml:space="preserve">Quod non parum moleſtiæ plerunque afferre ſolet: </s>
            <s xml:id="echoid-s4492" xml:space="preserve">ſed ſo-
              <lb/>
            lum inueſtigandam eſſe prius hypotenuſam per quadratum ſtabile inclinatum:
              <lb/>
            </s>
            <s xml:id="echoid-s4493" xml:space="preserve">Deinde portionem dioptræ inter eius centrum, & </s>
            <s xml:id="echoid-s4494" xml:space="preserve">latus Quadrati, quod inter-
              <lb/>
            ſecat: </s>
            <s xml:id="echoid-s4495" xml:space="preserve">quæinuentio diffi cilis non eſt, vt patuit, cum menſor nunquam locum
              <lb/>
            mutare cogatur.</s>
            <s xml:id="echoid-s4496" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4497" xml:space="preserve">ALTITVDINEM turris aut montis, ex eius ſummitate per Quadra-
              <lb/>
            tum dimetiri, quando in plano ſummitatis Horizonti æquidiſtan-
              <lb/>
            te duæ ſtationes fieri poſſunt, & </s>
            <s xml:id="echoid-s4498" xml:space="preserve">ſignum aliquod in Horizonte cer-
              <lb/>
            nitur.</s>
            <s xml:id="echoid-s4499" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div287" type="section" level="1" n="124">
          <head xml:id="echoid-head127" xml:space="preserve">PROBLEMA VIII.</head>
          <p>
            <s xml:id="echoid-s4500" xml:space="preserve">1. </s>
            <s xml:id="echoid-s4501" xml:space="preserve">
              <emph style="sc">Sit</emph>
            altitudo D F M d, in cuius ſummitate,
              <lb/>
              <figure xlink:label="fig-144-01" xlink:href="fig-144-01a" number="70">
                <image file="144-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/144-01"/>
              </figure>
            nimirum in plano D d, duę ſtationes fieri poſsint,
              <lb/>
            ex quibus ſignum aliquod in Horizonte, videli-
              <lb/>
            cet G, videri poſsit. </s>
            <s xml:id="echoid-s4502" xml:space="preserve">(Nos ne nouam cogeremur
              <lb/>
            deſcribere figuram, repetiuimus primam proble-
              <lb/>
            matis 4. </s>
            <s xml:id="echoid-s4503" xml:space="preserve">inuerſo tamen ordine poſitam, ita vt lite-
              <lb/>
            ræ rectum ſitum non habeant; </s>
            <s xml:id="echoid-s4504" xml:space="preserve">Et quamuis ſignum
              <lb/>
            G, non cernatur ex A, propter planum Dd, eadem
              <lb/>
            tamen erit ratio, ſi aliud ſignum longius diſtans
              <lb/>
            eligatur, quod ex A, inſpici poſsit.) </s>
            <s xml:id="echoid-s4505" xml:space="preserve">Collocetur
              <lb/>
            inſtrumentum in vtra que ſtatione, vt latus vmbrę
              <lb/>
            rectæ D C, vergat deorſum. </s>
            <s xml:id="echoid-s4506" xml:space="preserve">Et primum vtraque
              <lb/>
            vmbra recta ſecetur in E, H, (In hac enim inuer-
              <lb/>
            ſione latus D C, vmbræ rectę, & </s>
            <s xml:id="echoid-s4507" xml:space="preserve">BC, verſę deputa-
              <lb/>
            tur, vt in conſtructione Quadrati Num. </s>
            <s xml:id="echoid-s4508" xml:space="preserve">4. </s>
            <s xml:id="echoid-s4509" xml:space="preserve">initio huius libri declaratum eſt,) at-
              <lb/>
            que vmbræ d H, in propinquiore ſtatione, quæ ſemper minor eſt, æqualis ab-
              <lb/>
            ſcindatur DI. </s>
            <s xml:id="echoid-s4510" xml:space="preserve">Itaque ſi fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt I E, differentia vm- \\ brarum rectarum # ad Aa, differentiam \\ ſtationum # Ita A D, lat{us} qua- \\ drati 1000. # ad A F,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4511" xml:space="preserve">cognita erit recta A F, ex qua ſi dematur Iatus quadrati A D, notum in </s>
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