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
331 319
332 320
333 321
334 322
335 323
336 324
337 325
338 326
339 327
340 328
341 329
342 330
343 331
344 332
345 333
346 334
347 335
348 336
349 337
350 338
351 339
352 340
353 341
354 342
355 343
356 344
357 345
358 346
359 347
360 348
< >
page |< < (300) 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-div579" type="section" level="3" n="19">
              <div xml:id="echoid-div581" type="letter" level="4" n="3">
                <p>
                  <s xml:id="echoid-s3708" xml:space="preserve">
                    <pb o="300" rhead="IO. BAPT. BENED." n="312" file="0312" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0312"/>
                  dictum lumen conſpiceretur, quia non ſufficit extenſio luminis, cum eiuſdem inten
                    <lb/>
                  ſio ſit etiam neceſſaria. </s>
                  <s xml:id="echoid-s3709" xml:space="preserve">Sed id quoque tibi dico, quod etiam ſi dicta ſexageſima
                    <lb/>
                  pars totius luminis lunaris, eadem intenſione ſplendoris, & luminis Veneris, in tali
                    <lb/>
                  diſtantia trium graduum à Sole prædita eſſet, non eam
                    <reg norm="tamen" type="wordlist">tamẽ</reg>
                  videremus, ratione ob
                    <lb/>
                  liquitatis curuę, & ſphæricę ſuperficiei Lunæ, reſpectu noſtri, in huiuſmodi ſitu: </s>
                  <s xml:id="echoid-s3710" xml:space="preserve">id
                    <reg norm="qui" type="simple">ꝗ</reg>
                    <lb/>
                  tibi ita demonſtratum volo.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3711" xml:space="preserve">Pars ſuperficialis lunaris globi, quæ nos reſpicit ſit
                    <var>.a.p.u.</var>
                  quam accipere poſſu-
                    <lb/>
                  mus pro medietate ipſius ſuperficiei totalis, eo quod reſpectu noſtri viſus, inſenſibi
                    <lb/>
                  liter, ab ipſa medietate differat, pars autem à Sole viſa ſit
                    <var>.u.q.a.</var>
                  cogitemus etiam cir
                    <lb/>
                  culum
                    <var>.a.p.u.q.</var>
                  vnum eſſe ex maioribus ipſius globi, cuius ſuperficies
                    <reg norm="tranſeat" type="context">trãſeat</reg>
                  per ocu
                    <lb/>
                  lum vidontis, vnde pars eius
                    <var>.a.p.u.</var>
                  diuidet vmbram per æqualia, reliqua verò pars
                    <var>.
                      <lb/>
                    a.q.u.</var>
                  diuidet per æqualia lumen ipſius Lunæ à Sole receptum, ita quod pars illumi
                    <lb/>
                  nata, erit medietas
                    <var>.u.q.a.</var>
                  exceſſus verò, cum noſtro viſui incompræhenſibilis ſit, pro
                    <lb/>
                  nihilo reputetur, cuius cauſa eſt, maxima illa diſtantia, quæ inter Solem, & Lunam
                    <lb/>
                  reperitur, quamuis Sol maior ſit Luna multis millibus vicium, eo quod tunc inter So
                    <lb/>
                  lem, & Lunam reperiantur plus quam .570. diametri terræ.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3712" xml:space="preserve">Supponamus nunc Lunam remotam eſſe à loco ipſius
                    <reg norm="coniunctionis" type="context">cõiunctionis</reg>
                  cum Sole per
                    <lb/>
                  3. gradus. </s>
                  <s xml:id="echoid-s3713" xml:space="preserve">vnde
                    <reg norm="quemadmodum" type="wordlist">quẽadmodum</reg>
                  prius
                    <lb/>
                    <figure xlink:label="fig-0312-01" xlink:href="fig-0312-01a" number="334">
                      <image file="0312-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0312-01"/>
                    </figure>
                  lumen erat in gyro
                    <var>.a.q.u.</var>
                  nunc re-
                    <lb/>
                  periatur in gyro
                    <var>.x.q.t.</var>
                  ita quod
                    <var>.t.u.</var>
                    <lb/>
                  erit ſexageſima pars ipſius
                    <var>.a.p.u.</var>
                    <reg norm="quod" type="wordlist">qđ</reg>
                    <lb/>
                  à vero ſenſibiliter non diſcedit.
                    <lb/>
                  </s>
                  <s xml:id="echoid-s3714" xml:space="preserve">Imaginentur nunc duæ rectæ lineæ
                    <lb/>
                  ductæ ab oculo
                    <var>.d.</var>
                  ad puncta
                    <var>.t.</var>
                  et
                    <var>.u.</var>
                    <lb/>
                  verum tamen eſt quod linea
                    <var>.d.u.</var>
                  ſe-
                    <lb/>
                  cabit
                    <reg norm="arcum" type="context">arcũ</reg>
                    <var>.t.u.</var>
                  ſed ita propinqua
                    <reg norm="pum" type="context">pũ</reg>
                    <lb/>
                  cto
                    <var>.u.</var>
                  quod erit ei ferè contingens,
                    <lb/>
                  vnde abſque ſenſibili errore poſſu-
                    <lb/>
                  mus arcum
                    <var>.t.u.</var>
                  intelligere inter duas
                    <lb/>
                  lineas
                    <var>.d.t.</var>
                  et
                    <var>.d.u.</var>
                  quapropter tale lu-
                    <lb/>
                  men compræhendetur, ferè, ſub an-
                    <lb/>
                  gulo
                    <var>.t.d.u.</var>
                  quem quidem angulum
                    <lb/>
                  oportet nos videre, cuius magnitu-
                    <lb/>
                  dinis exiſtat, reſpectu totalis anguli
                    <lb/>
                    <var>a.d.u.</var>
                  protracta cum fuerit
                    <var>.d.a</var>
                  .</s>
                </p>
                <p>
                  <s xml:id="echoid-s3715" xml:space="preserve">Producatur primo
                    <var>.d.t.</var>
                  vſque ad
                    <lb/>
                  diametrum in puncto
                    <var>.i.</var>
                  deinde per
                    <lb/>
                  puncta
                    <var>.a.</var>
                  et
                    <var>.u.</var>
                  ducatur arcus
                    <var>.a.e.u.</var>
                  cir
                    <lb/>
                  ca
                    <var>.d.</var>
                    <reg norm="centrum" type="context">cẽtrum</reg>
                  , ad quem ducatur linea
                    <var>.
                      <lb/>
                    d.t.i.</var>
                  in puncto
                    <var>.e.</var>
                  ſed quia, cum dia-
                    <lb/>
                  meter
                    <var>.a.u.</var>
                  tam breuis ſit reſpectu di
                    <lb/>
                  ſtantiæ à terra, tempore interlunij,
                    <lb/>
                  vnde minor
                    <reg norm="centeſima" type="context">cẽteſima</reg>
                  parte ipſius di-
                    <lb/>
                  ſtantiæ exiſtit,
                    <reg norm="ſequitur" type="simple">ſequit̃</reg>
                  nos poſſe
                    <reg norm="abſque" type="simple">abſq;</reg>
                    <lb/>
                  ſenſibili errore cogitare, à puncto
                    <var>.d.</var>
                    <lb/>
                  ad quoduis punctum ipſius diametri
                    <lb/>
                  omnes lineas ad angulos rectos cum
                    <lb/>
                  ipſo diametro, & inſenſibilis inæqua­ </s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum