Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

Page concordance

< >
Scan Original
221 209
222 210
223 211
224 212
225 213
226 214
227 215
228 216
229 217
230 218
231 219
232 220
233 221
234 222
235 223
236 224
237 225
238 226
239 227
240 228
241 229
242 230
243 231
244 232
245 233
246 234
247 235
248 236
249 237
250 238
< >
page |< < (330) of 445 > >|
    <echo version="1.0">
      <text type="book" xml:lang="la">
        <div xml:id="echoid-div7" type="body" level="1" n="1">
          <div xml:id="echoid-div477" type="chapter" level="2" n="6">
            <div xml:id="echoid-div630" type="section" level="3" n="26">
              <div xml:id="echoid-div634" type="letter" level="4" n="2">
                <pb o="330" rhead="IO. BAPT. BENED." n="342" file="0342" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0342"/>
              </div>
            </div>
            <div xml:id="echoid-div639" type="section" level="3" n="27">
              <div xml:id="echoid-div639" type="letter" level="4" n="1">
                <head xml:id="echoid-head493" xml:space="preserve">QVAEDAM NOTATV DIGNA IN
                  <lb/>
                Ptolomeum.</head>
                <head xml:id="echoid-head494" style="it" xml:space="preserve">Bartolomeo Christino Serenißimi Sabaudiœ Ducis apparitore.</head>
                <p>
                  <s xml:id="echoid-s4003" xml:space="preserve">EX tuis literis cognoui quo erga me animo eſſes,
                    <reg norm="qualique" type="simple">qualiq́;</reg>
                  voluntate, ſed ne
                    <lb/>
                  tua pulcherrima ſtudia aliquo modo imperfecta
                    <reg norm="relinquantur" type="simple">relinquant̃</reg>
                  , vel ego tibi
                    <lb/>
                  deeſſe videar, dum Problemata geographica Magni Ptolomei conſi-
                    <lb/>
                  deras, aduerte, quod ſi putares in figura .6. cap. libr .7. geographię eiuſ-
                    <lb/>
                  dem (vt multi credunt) lineam
                    <var>.V.*.</var>
                  ſecare circunferentiam
                    <var>.A.D.</var>
                  in puncto
                    <var>.G.</var>
                  ita
                    <lb/>
                  vt punctus
                    <var>.G.</var>
                  ſit tropici æſtiui, ideſt arcum
                    <var>.D.G.</var>
                  eſſe graduum .24. cum illis inci-
                    <lb/>
                  deres in maximum errorem. </s>
                  <s xml:id="echoid-s4004" xml:space="preserve">Quapropter conſidera quæ nunc tibi ſcribo.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4005" xml:space="preserve">Sit circulus
                    <var>.A.B.C.D.</var>
                  huius centrum
                    <var>.E.</var>
                    <reg norm="ſupponaturque" type="simple">ſupponaturq́;</reg>
                  ſemidiameter
                    <var>.E.D.</var>
                  eſſe
                    <lb/>
                  partium 120. quarum
                    <var>.E.Z.</var>
                  in alio ſemidiametro
                    <var>.C.E.</var>
                  ei orthogonaliter coniuncto,
                    <lb/>
                  talium ſit .17. in ſemidiametro vero
                    <var>.E.A.</var>
                  accipiatur
                    <var>.E.S.</var>
                  talium .24. et
                    <var>.E.V.</var>
                  64. vn
                    <lb/>
                  de
                    <var>.S.V.</var>
                  erit partium 40. ſimilium.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4006" xml:space="preserve">Erigatur deinde
                    <var>.S.*.</var>
                  ad rectos cum
                    <var>.E.A.</var>
                  in puncto
                    <var>.S.</var>
                  quæ terminetur ab inter-
                    <lb/>
                  ſectione lineę ductæ per puncta
                    <var>.Z.D.</var>
                  in puncto
                    <var>.*.</var>
                  ducatur demum
                    <var>.V.*.</var>
                  quæ ſeca-
                    <lb/>
                  bit circunf rentiam
                    <var>.A.D.</var>
                  in puncto
                    <var>.G</var>
                  . </s>
                  <s xml:id="echoid-s4007" xml:space="preserve">Quæratur nunc quantitas ipſius
                    <var>.G.D.</var>
                    <lb/>
                  Ad quod efficiendum quærenda primum eſt quantitas ipſius
                    <var>.S.*.</var>
                  quam illico co
                    <lb/>
                  gnoſcemus ex regula de tribus, cum dixerimus, ſi@ 17. dat nobis .120. quid dabit .41.
                    <lb/>
                  (nam duo triangula
                    <var>.Z.E.D.</var>
                  et
                    <var>.Z.S.*.</var>
                  ſunt inuicem ſimilia, cum
                    <var>.S.*.</var>
                  parallela ſit
                    <lb/>
                  ipſi
                    <var>.E.D.</var>
                  ) vnde
                    <var>.S.*.</var>
                  proueniet nobis ex ſimilibus partibus .289. cum fracto, quod
                    <lb/>
                  r
                    <unsure/>
                  eijciamus ob minorem laborem.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4008" xml:space="preserve">Producantur poſtea
                    <var>.V.*.</var>
                  et
                    <var>.E.D.</var>
                  vſque ad eorum concurſum in puncto
                    <var>.ω.</var>
                  quæ-
                    <lb/>
                    <reg norm="remusque" type="simple">remusq́;</reg>
                  quanta ſit
                    <var>.E.ω.</var>
                  ex eadem regula, cum dixerimus, ſi .40. dat nobis .289. quid
                    <lb/>
                    <figure xlink:label="fig-0342-01" xlink:href="fig-0342-01a" number="366">
                      <image file="0342-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0342-01"/>
                    </figure>
                  </s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum