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
401 389
402 390
403 391
404 392
405 393
406 394
407 395
408 396
409 397
410 398
411 399
412 400
413 401
414 402
415 403
416 404
417 405
418 406
419 407
420 408
421 409
422 410
423 411
424 412
425 413
426 414
427 415
428 416
429 417
430 418
< >
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