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
351 339
352 340
353 341
354 342
355 343
356 344
357 345
358 346
359 347
360 348
361 349
362 350
363 351
364 352
365 353
366 354
367 355
368 356
369 357
370 358
371 359
372 360
373 361
374 362
375 363
376 364
377 365
378 366
379 367
380 368
< >
page |< < (343) 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-div642" type="section" level="3" n="28">
              <div xml:id="echoid-div660" type="letter" level="4" n="6">
                <p>
                  <s xml:id="echoid-s4162" xml:space="preserve">
                    <pb o="343" rhead="EPISTOL AE." n="355" file="0355" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0355"/>
                  gis erit maior proportio ipſius
                    <var>.g.u.</var>
                  ad
                    <var>.u.e.</var>
                    <lb/>
                    <figure xlink:label="fig-0355-01" xlink:href="fig-0355-01a" number="386">
                      <image file="0355-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0355-01"/>
                    </figure>
                  quam ipſius
                    <var>.g.r.</var>
                  ad
                    <var>.r.e.</var>
                  ergo non æqualis,
                    <lb/>
                  quapropter impoſſibile eſt
                    <var>.u.e.</var>
                  eſſe radium
                    <lb/>
                  reflexum incidentis radij
                    <var>.g.u</var>
                  . </s>
                  <s xml:id="echoid-s4163" xml:space="preserve">Vnde ſequi
                    <lb/>
                  tur concurſum radiorum reflexorum à ſpe-
                    <lb/>
                  culo ſphærico concauo non eſſe in vno, &
                    <lb/>
                  e
                    <unsure/>
                  odem puncto ipſius catheti incidentiæ,
                    <lb/>
                  quando à ſitu non æquidiſtanti ab ipſo ca-
                    <lb/>
                  theto
                    <reg norm="reflectuntur" type="context">reflectũtur</reg>
                  , ex hac ſpeculatione
                    <reg norm="etiam" type="context">etiã</reg>
                    <lb/>
                  videre licet, verum eſſe id quod in .3. Epiſto
                    <lb/>
                  la tibi ſcripſi nempe, quod quotieſcunque
                    <lb/>
                  axes viſuales, vel radij reflexi, in vna ea-
                    <lb/>
                    <reg norm="demque" type="simple">demq́</reg>
                  ſuperficie reflexionis fuerint, </s>
                  <s xml:id="echoid-s4164" xml:space="preserve">tunc
                    <lb/>
                  imago obiecti nullo modo videbitur in ca-
                    <lb/>
                  theto incidentiæ, in ſpeculo ſphærico con-
                    <lb/>
                  cauo.</s>
                </p>
              </div>
              <div xml:id="echoid-div662" type="letter" level="4" n="7">
                <head xml:id="echoid-head507" style="it" xml:space="preserve">Alterius dubit ationis ſolutio.</head>
                <head xml:id="echoid-head508" xml:space="preserve">AD EVNDEM.</head>
                <p>
                  <s xml:id="echoid-s4165" xml:space="preserve">NOn abſque ratione dubitas, vtrum etiam in ſphæricis ſpeculis conuexis idem
                    <lb/>
                  accidat, hoc eſt, an radij reflexi à punctis inęqualis diſtantiæ à catheto inciden
                    <lb/>
                  tiæ conueniant inuicem in eodem catheto.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4166" xml:space="preserve">Ad quod reſpondeo, non concurrere in dicto catheto, ſed extra ipſum, & ſimi-
                    <lb/>
                  liter extra ipſum vide bitur imago.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4167" xml:space="preserve">Pro cuius rei ratione, imaginemur ſuperficiem reflexionis alicuius ſpeculi ſphæ-
                    <lb/>
                  rici conuexi
                    <var>.b.d.h.g.</var>
                  cuius communis ſectio cum ſuperficie ſphærica ſit linea
                    <lb/>
                  circularis
                    <var>.d.e.h.</var>
                  et
                    <var>.o.</var>
                  eius
                    <reg norm="centrum" type="context">cẽtrum</reg>
                  , à quo protrahatur
                    <var>.g.b.</var>
                  indeterminata, et
                    <var>.o.g.</var>
                  ſit ſe
                    <lb/>
                  midiameter circuli
                    <var>.d.g.h.</var>
                  et
                    <var>.o.c.</var>
                  ſit plus medietate ipſius
                    <var>.o.g.</var>
                    <reg norm="accipiaturque" type="simple">accipiaturq́;</reg>
                  linea
                    <var>.e.c.</var>
                    <lb/>
                  minor ipſa
                    <var>.o.c.</var>
                  ſed maior ipſa
                    <var>.c.g.</var>
                    <lb/>
                    <figure xlink:label="fig-0355-02" xlink:href="fig-0355-02a" number="387">
                      <image file="0355-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0355-02"/>
                    </figure>
                  quod difficile non erit, locando im
                    <lb/>
                  mobilem pedem circini in puncto
                    <var>.
                      <lb/>
                    c.</var>
                  aperiendo ipſum aliquantulum
                    <lb/>
                  plus quam
                    <var>.c.g.</var>
                  ſed minus quam
                    <var>.c.
                      <lb/>
                    o.</var>
                  ſignando circunferentiam
                    <var>.d.e.h.</var>
                    <lb/>
                  in puncto
                    <var>.e.</var>
                  quod ex .7. tertij poſſi-
                    <lb/>
                  bile eſt, protrahatur poſtea
                    <var>.o.e.f.</var>
                    <lb/>
                  indeterminatè. </s>
                  <s xml:id="echoid-s4168" xml:space="preserve">Facicmus deinde
                    <lb/>
                  angulum
                    <var>.f.e.b.</var>
                  æqualem angulo
                    <var>.o.
                      <lb/>
                    e.c.</var>
                  protracta poſtea cum fuerit
                    <var>.c.
                      <lb/>
                    e.K.</var>
                  indeterminatè,
                    <reg norm="habebimus" type="simple">habebimꝰ</reg>
                  duos
                    <lb/>
                  angulos
                    <var>.b.e.f.</var>
                  et
                    <var>.f.e.K.</var>
                  æquales in-
                    <lb/>
                  uicem mediante .15. primi, ita
                    <reg norm="quod" type="wordlist">qđ</reg>
                  ſi
                    <lb/>
                  radius incidens veniet à puncto
                    <var>.b.</var>
                    <lb/>
                  ad
                    <var>.e.</var>
                  reflexus erit
                    <var>.e.K.</var>
                  qui quidem </s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum