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 |< < (370) 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-div720" type="section" level="3" n="38">
              <div xml:id="echoid-div720" type="letter" level="4" n="1">
                <p>
                  <s xml:id="echoid-s4397" xml:space="preserve">
                    <pb o="370" rhead="IO. BAPT. BENED." n="382" file="0382" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0382"/>
                  e
                    <unsure/>
                  tiam collectus cum angulo
                    <var>.o.a.c.</var>
                  grad .15. hi tres anguli efficient angulum
                    <var>.d.a.c.
                      <lb/>
                    d.</var>
                  ctum grad .108. min .22.</s>
                </p>
                <head xml:id="echoid-head548" style="it" xml:space="preserve">Examinatio anguli
                  <var>.u.</var>
                </head>
                <p>
                  <s xml:id="echoid-s4398" xml:space="preserve">Ducatur
                    <var>.d.n.</var>
                  quam quidem
                    <var>.d.n.</var>
                  cognoſcemus vt ſinus anguli
                    <var>.d.o.n.</var>
                  gra .45. nam
                    <lb/>
                  angulus ei contrapoſitus
                    <var>.q.o.p.</var>
                  eſt dimidium recti, </s>
                  <s xml:id="echoid-s4399" xml:space="preserve">quare
                    <var>.d.n.</var>
                  erit partium .70710.
                    <lb/>
                  talium qualium
                    <var>.d.o.</var>
                  fuerit .100000. ſed
                    <var>.d.o.</var>
                  eſt partium .115270. qualium
                    <var>.a.d.</var>
                  eſt
                    <num value="100000">.
                      <lb/>
                    100000.</num>
                  nam
                    <var>.e.d.</var>
                  vt ſinus anguli
                    <var>.e.a.d.</var>
                  gra .63. min .22. eſt partium .89389.
                    <var>o.e.</var>
                  ve-
                    <lb/>
                  ro eſt partium .50000. talium qualium
                    <var>.a.o.</var>
                  eſt .100000. vt ſinus anguli
                    <var>.e.a.o.</var>
                  gra .30.
                    <lb/>
                  ſed vt
                    <var>.a.o.</var>
                  eſt
                    <reg norm="partium" type="context">partiũ</reg>
                  .51762. </s>
                  <s xml:id="echoid-s4400" xml:space="preserve">hoc eſt vt
                    <var>.a.d.</var>
                  eſt .100000. ipſa
                    <var>.o.e.</var>
                  erit
                    <reg norm="partium" type="context">partiũ</reg>
                  .25881
                    <lb/>
                  quæ iuncta cum fuerit cum
                    <var>.e.d.</var>
                  efficiet
                    <var>.d.o.</var>
                  partium .115270. vt dictum eſt, quapro-
                    <lb/>
                  pter cum
                    <var>.d.n.</var>
                  ſit partium .70710. talium qualium
                    <var>.d.o.</var>
                  fuerit .100000. ipſa
                    <var>.d.n.</var>
                  erit
                    <lb/>
                  partium .81507. talium qualium
                    <var>.d.o.</var>
                  erit .115270. ideſt qualium
                    <var>.d.a.</var>
                  vel
                    <var>.d.u.</var>
                  erit
                    <lb/>
                  100000. quæ quidem
                    <var>.d.n.</var>
                  eſt ſinus anguli
                    <var>.d.u.n.</var>
                  graduum ſcilicet .54. 36. cuius du-
                    <lb/>
                  plum erit gra .109. mi .12. debebattamen eſſe .108.
                    <var>m.o</var>
                  .</s>
                </p>
                <head xml:id="echoid-head549" style="it" xml:space="preserve">Examinatio anguli
                  <var>.d.</var>
                </head>
                <p>
                  <s xml:id="echoid-s4401" xml:space="preserve">Accipe angulum
                    <var>.a.d.o.</var>
                  gra .26.
                    <lb/>
                    <figure xlink:label="fig-0382-01" xlink:href="fig-0382-01a" number="424">
                      <image file="0382-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0382-01"/>
                    </figure>
                  min .38. vt ſupra, cui applica angu-
                    <lb/>
                  lum
                    <var>.o.d.n.</var>
                  gra .45. min
                    <var>.o.</var>
                  ſimul cum
                    <lb/>
                  angulo
                    <var>.u.d.n.</var>
                  reſiduo ex recto gra
                    <lb/>
                  duum .35. minu .24. & conficies an-
                    <lb/>
                  gulum
                    <var>.a.d.u.</var>
                  grad .107. minu .2. &
                    <lb/>
                  habebis propoſitum, quem tamen
                    <lb/>
                  oportebat eſſe gra .108. min
                    <var>.o</var>
                  .</s>
                </p>
                <p>
                  <s xml:id="echoid-s4402" xml:space="preserve">Quod autem omnia rectè ſuppu-
                    <lb/>
                  tata ſint, ex ſumma omnium angulo
                    <lb/>
                  rum patere poteſt. </s>
                  <s xml:id="echoid-s4403" xml:space="preserve">nam collectis om
                    <lb/>
                  nibus quinque angulis
                    <var>.a.c.d.f.u.</var>
                  ſi-
                    <lb/>
                  mul, hoc eſt grad .108. minu .22. cum
                    <lb/>
                  gra .107. min .2. cum grad .12. effi-
                    <lb/>
                  cient grad .540. min
                    <var>.o.</var>
                  ſumma æqua
                    <lb/>
                  lis ſex angulis rectis.</s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum