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
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
361 349
362 350
363 351
364 352
365 353
366 354
367 355
368 356
369 357
370 358
< >
page |< < (274) 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-div533" type="section" level="3" n="11">
              <div xml:id="echoid-div535" type="letter" level="4" n="3">
                <p>
                  <s xml:id="echoid-s3428" xml:space="preserve">
                    <pb o="274" rhead="IO. BAPT. BENED." n="286" file="0286" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0286"/>
                  quam in altero
                    <var>.i.b.</var>
                  et
                    <var>u.b.</var>
                  correſpondebit ipſi
                    <var>.A.E.</var>
                  et
                    <var>.b.n.</var>
                  ipſi
                    <var>.E.V.</var>
                  et
                    <var>.b.a.</var>
                  ipſi
                    <var>.E.I.</var>
                    <lb/>
                  quapropter iubeo, vt quæras quantum ſit latus
                    <var>.b.n.</var>
                  ex regula de tribus, dicens ſi
                    <var>.a.e.</var>
                    <lb/>
                  tribuit mihi
                    <var>.e.u.</var>
                  quid mihi dabit
                    <var>.u.b</var>
                  ? </s>
                  <s xml:id="echoid-s3429" xml:space="preserve">eo quod
                    <var>.a.e.u.</var>
                  ſimile eſt
                    <var>.u.b.n.</var>
                  reperto autem
                    <lb/>
                  latere
                    <var>.b.n.</var>
                  ex quo dempto
                    <var>.b.a.</var>
                  breuioris diſtantię, reſiduum reſpondebit ipſi
                    <var>.I.V.</var>
                  vt
                    <lb/>
                  ſcis, vnde proſequendo operationem tibi cognitam, obtinebis intentum, hoc eſt co
                    <lb/>
                  gnoſces reliqua interualla. </s>
                  <s xml:id="echoid-s3430" xml:space="preserve">Nihil enim miror demonſtrationem Tartaleæ circa hu
                    <lb/>
                  iuſmodi operationem te minime ſatisfeciſſe.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3431" xml:space="preserve">Quod autem quarta propoſitio illius ſcriptoris, de quo nuper
                    <reg norm="mecum" type="context">mecũ</reg>
                  locutus es, vt
                    <lb/>
                  mihi dixiſti, tua ſit, hoc enimego, nec affirmare, nec negare audeo, quamuis in mul
                    <lb/>
                  tis cum tua manuſcripta concordet. </s>
                  <s xml:id="echoid-s3432" xml:space="preserve">Nam ſępæ cogitationes hominum in idem co-
                    <lb/>
                  incidunt, vt pluries cenſuit Ariſto.</s>
                </p>
                <figure position="here" number="313">
                  <image file="0286-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0286-01"/>
                </figure>
              </div>
              <div xml:id="echoid-div538" type="letter" level="4" n="4">
                <head xml:id="echoid-head410" style="it" xml:space="preserve">Demonstrationes quorundam problematum Nicolai Tartalea
                  <lb/>
                cum
                  <reg norm="alijs" type="lig">alijs</reg>
                operationibus circa eadem ſubiecta.</head>
                <head xml:id="echoid-head411" xml:space="preserve">AD EVNDEM.</head>
                <p>
                  <s xml:id="echoid-s3433" xml:space="preserve">AMor erga te meus ſanè ſingularis, nullo modo
                    <reg norm="permittit" type="simple">ꝑmittit</reg>
                  , vt ea quæ Tartaleę ſcri
                    <lb/>
                  pta
                    <reg norm="examinando" type="context">examinãdo</reg>
                  inuenerim, non tibi
                    <reg norm="communicem" type="context">cõmunicem</reg>
                  . </s>
                  <s xml:id="echoid-s3434" xml:space="preserve">Hæc autem ſunt circa quæ
                    <lb/>
                  dam illius Authoris problemata, quorum primum ab ipſo Tartalea
                    <lb/>
                  ſcriptum in .3. quæſito libr .4. tale eſt, is vult locare .3500. homines, eodem modo,
                    <lb/>
                  quo præſupponit locatos eſſe .1000. ita vt quilibet hominum ordo ſiue vt vulgo di-
                    <lb/>
                  citur filtia ſit .49. quapropter multiplicat quadratum ipſius .49. quod eſt .2401.
                    <reg norm="cum" type="context">cũ</reg>
                    <lb/>
                  numero .3500. propoſito, productum verò .8403500. diuidit per .1000. vt proue-
                    <lb/>
                  niat .8403. cuius radix quadrata eſt .91. pro numero hominum vniuſcuiuſque ordinis
                    <lb/>
                  propoſiti numeri .3500.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3435" xml:space="preserve">Pro cuius operationis ratione, cogitemus rectangulum
                    <var>.a.b.</var>
                  1000. hominum, et
                    <var>.d.
                      <lb/>
                    b.</var>
                  ſit vna filtia ſiue ordo .49.
                    <reg norm="hominum" type="wordlist">hoĩum</reg>
                  , cuius
                    <reg norm="quadratum" type="context">quadratũ</reg>
                  ſit
                    <var>.b.c.</var>
                  2401. imaginemur
                    <reg norm="etiam" type="context">etiã</reg>
                  re
                    <lb/>
                  ctangulum
                    <var>.A.B.</var>
                  3500. hominum, quod ſupponemus ſimile rectangulo
                    <var>.a.b.</var>
                  et
                    <var>.B.C.</var>
                  </s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum