Apian, Petrus, Cosmographia

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        <div xml:id="echoid-div121" type="section" level="1" n="113">
          <pb o="Fo.54." file="113" n="113" rhead="RVM DESCRIPTIO."/>
        </div>
        <div xml:id="echoid-div122" type="section" level="1" n="114">
          <head xml:id="echoid-head126" style="it" xml:space="preserve">DE INVENIENDA VERA DISTAN
            <lb/>
          tia loci viſi quantumcunq{ue} etiam diſtet. Cap. III.</head>
          <p>
            <s xml:id="echoid-s2348" xml:space="preserve">SVperiori capite diximus, quomodo per diſtan-
              <lb/>
            tias locorum deſcribenda ſit charta. </s>
            <s xml:id="echoid-s2349" xml:space="preserve">Verũ quũ
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            omnino rectę diſtantię cognitione ad eam rem
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            opus ſit, videtur mihi opportunũ, ſi quid de hac
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            arte habeã, nũc adducere. </s>
            <s xml:id="echoid-s2350" xml:space="preserve">Viſa igitur turri alicu
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            ius Oppidi, ſi diſtantiã eius à te li
              <unsure/>
            bet inuenire,
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            potes primũ abſq; </s>
            <s xml:id="echoid-s2351" xml:space="preserve">aliquo ferè inſtrumento Ma
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            thematico hoc efficere. </s>
            <s xml:id="echoid-s2352" xml:space="preserve">Elige igitur tibi campũ
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            aliquem latũ, in quo poſſis huc & </s>
            <s xml:id="echoid-s2353" xml:space="preserve">illuc ire & </s>
            <s xml:id="echoid-s2354" xml:space="preserve">redire. </s>
            <s xml:id="echoid-s2355" xml:space="preserve">Et quãuis non
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            fuerit planus, nõ adeò refert. </s>
            <s xml:id="echoid-s2356" xml:space="preserve">Accede primùm ad turrim ex tuo lo-
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            co ad ſpaciũ notũ, ſcilicet ad pedes. </s>
            <s xml:id="echoid-s2357" xml:space="preserve">100. </s>
            <s xml:id="echoid-s2358" xml:space="preserve">vel. </s>
            <s xml:id="echoid-s2359" xml:space="preserve">200. </s>
            <s xml:id="echoid-s2360" xml:space="preserve">& </s>
            <s xml:id="echoid-s2361" xml:space="preserve">poſito ibi ſigno
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            aliquo erecto, quod facile à longe videri poſſit, recede ab eo in vtrũ
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            uis latus etiam ad certã diſtantiã, ſcilicet. </s>
            <s xml:id="echoid-s2362" xml:space="preserve">50. </s>
            <s xml:id="echoid-s2363" xml:space="preserve">vel. </s>
            <s xml:id="echoid-s2364" xml:space="preserve">100. </s>
            <s xml:id="echoid-s2365" xml:space="preserve">pedũ, atq; </s>
            <s xml:id="echoid-s2366" xml:space="preserve">hoc
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            ſe@undum rectum angulum à primo puncto, & </s>
            <s xml:id="echoid-s2367" xml:space="preserve">iterum in tali loco
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            pone ſignum aliquod erectum. </s>
            <s xml:id="echoid-s2368" xml:space="preserve">Quo facto redi ad primũ ſignum,
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            atq; </s>
            <s xml:id="echoid-s2369" xml:space="preserve">ab eo retrogredere ad certam etiam diſtantiã, quãtum ſcilicet
              <lb/>
            placet, ea ratione, vt vbi deſiſtas, ſignum primũ ſit directè intra vi-
              <lb/>
            ſum tuum & </s>
            <s xml:id="echoid-s2370" xml:space="preserve">turrim viſam, ibi´q; </s>
            <s xml:id="echoid-s2371" xml:space="preserve">poſito ſigno tertio, diuerte hinc
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            ſecundum rectum angulum in latus (vt prius) eò vſq;</s>
            <s xml:id="echoid-s2372" xml:space="preserve">, quò ſignum
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            ſecundum ſit inter viſum tuum & </s>
            <s xml:id="echoid-s2373" xml:space="preserve">turrim menſurandam Iam in ue
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            ſtiga aut per pedes, aut aliquod aliud genus menſuræ, diſtantiã pri
              <lb/>
            mi ſigni à ſecũdo, quę vocetur diſtantia prima. </s>
            <s xml:id="echoid-s2374" xml:space="preserve">Item diſtantiã tertij
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            à primo, quę ſit ſecunda: </s>
            <s xml:id="echoid-s2375" xml:space="preserve">demum interſtitium tertij à quarto, quod
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            ſit tertia diſtantia. </s>
            <s xml:id="echoid-s2376" xml:space="preserve">Subduc igitur primam à tertia, reſiduum ſit di-
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            uiſor, poſtea multiplica tertiam diſtantiam per ſecundam, produ-
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            ctum diuide per diuiſorem, quod ex partitione huiuſmodi proue-
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            nerit, oſtendet diſtantiam à ſigno tertio vſq; </s>
            <s xml:id="echoid-s2377" xml:space="preserve">ad turrim rectiſſimã.
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            </s>
            <s xml:id="echoid-s2378" xml:space="preserve">Pro cuius declaratione vide ſequentem figuram, i
              <unsure/>
            bi a, turris eſt me
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            tienda. </s>
            <s xml:id="echoid-s2379" xml:space="preserve">b. </s>
            <s xml:id="echoid-s2380" xml:space="preserve">ſignum primum: </s>
            <s xml:id="echoid-s2381" xml:space="preserve">c, ſignum ſecundum diſtans orthogona
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            liter à primo per. </s>
            <s xml:id="echoid-s2382" xml:space="preserve">30. </s>
            <s xml:id="echoid-s2383" xml:space="preserve">pedes: </s>
            <s xml:id="echoid-s2384" xml:space="preserve">d, tertium ſignum diſtans in recta linea
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            retrorſum. </s>
            <s xml:id="echoid-s2385" xml:space="preserve">40. </s>
            <s xml:id="echoid-s2386" xml:space="preserve">pedes: </s>
            <s xml:id="echoid-s2387" xml:space="preserve">e, quartum ſignum in latus recedens & </s>
            <s xml:id="echoid-s2388" xml:space="preserve">in re-
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            cta linea ipſius ſigni ſecundi cum turri, diſtans à tertio 36. </s>
            <s xml:id="echoid-s2389" xml:space="preserve">pedibus,
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            Subduco. </s>
            <s xml:id="echoid-s2390" xml:space="preserve">30. </s>
            <s xml:id="echoid-s2391" xml:space="preserve">de. </s>
            <s xml:id="echoid-s2392" xml:space="preserve">36. </s>
            <s xml:id="echoid-s2393" xml:space="preserve">reſtant. </s>
            <s xml:id="echoid-s2394" xml:space="preserve">6. </s>
            <s xml:id="echoid-s2395" xml:space="preserve">poſt hæc duco in inuicẽ. </s>
            <s xml:id="echoid-s2396" xml:space="preserve">40. </s>
            <s xml:id="echoid-s2397" xml:space="preserve">&</s>
            <s xml:id="echoid-s2398" xml:space="preserve">. 36. </s>
            <s xml:id="echoid-s2399" xml:space="preserve">fiunt
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            1440. </s>
            <s xml:id="echoid-s2400" xml:space="preserve">productum hoc diuido per 6. </s>
            <s xml:id="echoid-s2401" xml:space="preserve">fiunt 240. </s>
            <s xml:id="echoid-s2402" xml:space="preserve">pedes, quæ eſt diſtan-
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            tia inter d, & </s>
            <s xml:id="echoid-s2403" xml:space="preserve">a, turrim.</s>
            <s xml:id="echoid-s2404" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2405" xml:space="preserve">Huius rei demonſtrationem ſi quis requirat Mathematicam, me
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            adeat nam in promptu habeo, quamuis hic nõ adijciam, neq; </s>
            <s xml:id="echoid-s2406" xml:space="preserve">enim
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            locus hic demonſtrationem, ſed in ſtructionem expoſtulat.</s>
            <s xml:id="echoid-s2407" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div123" type="section" level="1" n="115">
          <head xml:id="echoid-head127" style="it" xml:space="preserve">¶ Cap. IIII. Docet idem per ſcalam Hypſome-
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          tram aut Geometricam inuenire.</head>
        </div>
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