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
311 299
312 300
313 301
314 302
315 303
316 304
317 305
318 306
319 307
320 308
321 309
322 310
323 311
324 312
325 313
326 314
327 315
328 316
329 317
330 318
331 319
332 320
333 321
334 322
335 323
336 324
337 325
338 326
339 327
340 328
< >
page |< < (317) 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-div614" type="section" level="3" n="24">
              <div xml:id="echoid-div617" type="letter" level="4" n="3">
                <pb o="317" rhead="EPISTOL AE." n="329" file="0329" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0329"/>
                <p>
                  <s xml:id="echoid-s3879" xml:space="preserve">Accipeigitur huncalium.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3880" xml:space="preserve">Sit propoſitus maior axis
                    <var>.q.p.</var>
                  minor verò
                    <var>.e.c.</var>
                  ad angulos rectos ſe inuicem
                    <lb/>
                  ſecantes in puncto
                    <var>.o.</var>
                  deſcribatur circulus
                    <var>.q.n.p.a.</var>
                  cuius diameter ſit axis maior, in
                    <lb/>
                  quo accipiatur punctum, quod volueris, vt puta
                    <var>.u.</var>
                  à quo protrahatur
                    <var>.u.b.</var>
                  paralle-
                    <lb/>
                  la ad
                    <var>.o.c.n.</var>
                  deſignetur poſtea ſeparatim circulus
                    <var>.u.b.n.</var>
                  cuius diameter æqualis ſit ſe
                    <lb/>
                  midiametro prioris circuli, ita etiam fiat circulus
                    <var>.u.i.c.</var>
                  contingens circulum
                    <var>.u.b.n.</var>
                    <lb/>
                  in puncto
                    <var>.u.</var>
                  cuius diameter ſit
                    <var>.u.c.</var>
                  æqualis dimidio axi minori. </s>
                  <s xml:id="echoid-s3881" xml:space="preserve">accipiatur deinde in
                    <lb/>
                  circulo maximo longitudo
                    <var>.u.b.</var>
                  quæ collocetur in circulo mediocri à puncto
                    <var>.u.</var>
                  quæ
                    <lb/>
                  ſecabitur à minimo circulo in puncto
                    <var>.i.</var>
                  cum itaque longitudo
                    <var>.u.i.</var>
                  menſurata fue-
                    <lb/>
                  rit in
                    <var>.u.b.</var>
                  maximi circuli à puncto
                    <var>.u.</var>
                  habebimus propoſitum.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3882" xml:space="preserve">Cuius reiratio eſt, quia
                    <var>.u.b.</var>
                  mediocris circuli diuiditur à gyro minimi in puncto
                    <lb/>
                  i. eadem proportione, qua diuiſa eſt
                    <var>.u.n.</var>
                  in puncto
                    <var>.c.</var>
                  quod manifeſtum eſt exſimi-
                    <lb/>
                  litudine triangulorum
                    <var>.u.b.n.</var>
                  et
                    <var>.u.i.c.</var>
                  imaginatæ cum fuerint duæ
                    <var>.b.n.</var>
                  et
                    <var>.i.c.</var>
                  ſed ita
                    <lb/>
                  eſſe oportet parallelas maximi circuli, quotieſcunque circunferentia ipſius ellipſis
                    <lb/>
                  tranſitura ſit per
                    <var>.c.</var>
                  vt in .51. cap. meæ gnomonicæ oſtenſum fuit.</s>
                </p>
                <figure position="here" number="352">
                  <image file="0329-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0329-01"/>
                </figure>
              </div>
              <div xml:id="echoid-div619" type="letter" level="4" n="4">
                <head xml:id="echoid-head481" style="it" xml:space="preserve">Modus deſignandi angulum, certo modo conditionatum.</head>
                <head xml:id="echoid-head482" xml:space="preserve">AD EVNDEM.</head>
                <p>
                  <s xml:id="echoid-s3883" xml:space="preserve">NVllius reuera difficultatis mihi videtur eſſe, quotieſcunque nobis propoſita
                    <lb/>
                  fuerint duo puncta
                    <var>.a.</var>
                  et
                    <var>.b.</var>
                  ſimul cum
                    <lb/>
                  angulo
                    <var>.d.</var>
                    <reg norm="necnon" type="context">necnõ</reg>
                  linea
                    <var>.g.</var>
                  ducere duas lineas
                    <lb/>
                    <figure xlink:label="fig-0329-02" xlink:href="fig-0329-02a" number="353">
                      <image file="0329-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0329-02"/>
                    </figure>
                  à dictis punctis terminatas, quæ
                    <reg norm="conſtituant" type="context">conſtituãt</reg>
                    <lb/>
                  angulum æqualem dato, & ipſæ directè
                    <reg norm="con" type="context">cõ</reg>
                    <lb/>
                  iunctæ conſtituant lineam æqualem da-
                    <lb/>
                  tæ. </s>
                  <s xml:id="echoid-s3884" xml:space="preserve">Nam ducatur linea indefinita per
                    <lb/>
                  puncta propoſita, cuius lineæ, pars illa, quę
                    <lb/>
                  intercepta fuerit inter dicta puncta, diui-
                    <lb/>
                  datur per æqualia in puncto
                    <var>.o.</var>
                  etiam & li-
                    <lb/>
                  nea data, quarum medietates accipio in
                    <lb/>
                  linea indefinitè protracta à puncto
                    <var>.o.</var>
                  me- </s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum