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
301 289
302 290
303 291
304 292
305 293
306 294
307 295
308 296
309 297
310 298
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
< >
page |< < (315) 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-div606" type="section" level="3" n="23">
              <div xml:id="echoid-div611" type="letter" level="4" n="3">
                <p>
                  <s xml:id="echoid-s3863" xml:space="preserve">
                    <pb o="315" rhead="EPISTOL AE." n="327" file="0327" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0327"/>
                  ad
                    <var>.o.d.</var>
                  hoc eſt vt
                    <var>.z.</var>
                  ad
                    <var>.l.</var>
                  hoc eſt vt
                    <var>.c.</var>
                  ad
                    <var>.y</var>
                  . </s>
                  <s xml:id="echoid-s3864" xml:space="preserve">quare
                    <reg norm="triangulum" type="context">triangulũ</reg>
                    <var>.p.q.o.</var>
                  ita erit proportio
                    <lb/>
                    <reg norm="natum" type="context">natũ</reg>
                  triangulo
                    <var>.o.q.b.</var>
                  vt
                    <var>.c.</var>
                  ad
                    <var>.y.</var>
                  conſtituo deinde ex .25. fexti duo triangula ſimi-
                    <lb/>
                  lia duobus
                    <var>.p.q.o.</var>
                  et
                    <var>.o.q.b.</var>
                    <reg norm="æqualiaque" type="simple">æqualiaq́</reg>
                    <var>.c.</var>
                  et
                    <var>.y.</var>
                  quę ſint
                    <var>.a.i.u.</var>
                  et
                    <var>.n.t.x.</var>
                  ſecetur poſtea
                    <var>.q.
                      <lb/>
                    g.</var>
                  in puncto
                    <var>.æ.</var>
                  ita, quod
                    <var>.q.æ.</var>
                  æqualis ſit
                    <var>.i.a.</var>
                  duco poſtea
                    <var>.æ.e.</var>
                  æquidiſtantem. ad
                    <var>.p.b.</var>
                    <lb/>
                  & ſic habebimus duo triangula
                    <var>.q.x.æ.</var>
                  ct
                    <var>.q.x.</var>
                  e, vt quærebantur, quamuis duo trian
                    <lb/>
                  gula
                    <var>.a.i.u.</var>
                  et
                    <var>.t.n.x.</var>
                  eaſdem habeant conditiones.</s>
                </p>
              </div>
            </div>
            <div xml:id="echoid-div614" type="section" level="3" n="24">
              <div xml:id="echoid-div614" type="letter" level="4" n="1">
                <head xml:id="echoid-head475" xml:space="preserve">DE IMPERFECTA SOLVTIONE PROBLE-
                  <lb/>
                matis Nicolai Tartaleæ ad Cardanum. De animad-
                  <lb/>
                uerſione in Ptolomeum. Deincendio carbo-
                  <lb/>
                num à vento.</head>
                <head xml:id="echoid-head476" style="it" xml:space="preserve">Clariβimo Dominico Moreſino.</head>
                <p>
                  <s xml:id="echoid-s3865" xml:space="preserve">
                    <emph style="sc">SCio</emph>
                  propoſitam tibi quæſtionem te diu agitauiſſe, nectamen ſolutio-
                    <lb/>
                  nem aſſequi potuiſſe, aduerte igitur ipſam falſam, ideſt impoſſibilem
                    <lb/>
                  eſſe, quemadmodum etiam decimumoctauum quæſitum propoſitum à
                    <lb/>
                  Cardano Tartaleæ, ab ipſo Tarralea ſolutum minimè fuit. </s>
                  <s xml:id="echoid-s3866" xml:space="preserve">Quiquidem
                    <lb/>
                  Tartalea vult circulum deſcribi circa triangulum per quintam libri quarti Euclidis,
                    <lb/>
                  vt in fine ferè quintæ partis ſuarum menſurarum affirmat, neque videt in quinta
                    <lb/>
                  quarti Euclidem vti vndecima primi, & in vndecima primi, quarta aut octaua eiuſ-
                    <lb/>
                  dem, quas, ipſe Euclides oſtenſiuè non demonſtrauit. </s>
                  <s xml:id="echoid-s3867" xml:space="preserve">Quapropter oportebat Tar-
                    <lb/>
                  taleam demonſtraſſe omnes propoſitiones ad hoc neceſſarias oſtenſiuè
                    <reg norm="vſque" type="simple">vſq;</reg>
                  ad pri-
                    <lb/>
                  mas indemonſtrabiles, quia ad demonſtrandam ſcientificè
                    <reg norm="aliquam" type="context">aliquã</reg>
                  propoſitionem,
                    <lb/>
                  aut à propoſitione in propoſitionem vſque ad prima principia vniuerſalia ( vt ali-
                    <lb/>
                  quando ego feci) eſt retrogradandum, aut ab ipſis principijs incipiendum ſucceſſi-
                    <lb/>
                  uè eouſque progrediendo donec ad propoſitionem quam demonſtrare volumus
                    <lb/>
                  perueniamus.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3868" xml:space="preserve">Quod ad Ptolomeum in geographia attinet, dico eum mihi non ſatisfacere, cum
                    <lb/>
                  ſumit portionem arcus circuli maioris inter vnam ciuitatem, & aliam, ea ratione
                    <lb/>
                  quam deſcribit. </s>
                  <s xml:id="echoid-s3869" xml:space="preserve">Quod ſi vſus fuiſſet modo Menelai, ab ipſomet deinde in
                    <reg norm="ſuum" type="context">ſuũ</reg>
                  Al-
                    <lb/>
                  mageſtum vſurpato, aut Monteregij triangulorum ſphęricorum, quem Copernicus
                    <lb/>
                  adhibuit (qui tamen modus, tempore Ptolomei, nondum fortaſſe in lucem vene-
                    <lb/>
                  rat) bene egiſſet.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3870" xml:space="preserve">Quod deinde ad ſuum illud inſtrumentum geometricum attinet, eſt
                    <reg norm="imperfectum" type="context">imperfectũ</reg>
                  ,
                    <lb/>
                  vt oſtendi domino Pandulfo.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3871" xml:space="preserve">Motum autem aeris, aut mauis ventum, accendere ignem, non ſolum ratione an
                    <lb/>
                  tiperiſtaſis, quam affers euenit, ſed etiam quia à carbonibus accenſis totam excre
                    <lb/>
                  mentitiam materiam, quæ eos circundat, auferat.</s>
                </p>
              </div>
              <div xml:id="echoid-div615" type="letter" level="4" n="2">
                <head xml:id="echoid-head477" style="it" xml:space="preserve">Alia dilucidatio propoſitionis .25. lib. 2. Monteregij.</head>
                <head xml:id="echoid-head478" xml:space="preserve">AD EVNDEM.</head>
                <p>
                  <s xml:id="echoid-s3872" xml:space="preserve">SCribiste non intelligere .25. propoſitionem lib. 2. Monteregij. cum necſcias
                    <lb/>
                  reperire diametrum circuli circunſcriptibilis circa propoſitum triangu- </s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum