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
321 309
322 310
323 311
324 312
325 313
326 314
327 315
328 316
329 317
330 318
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
< >
page |< < (310) 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-div606" type="letter" level="4" n="1">
                <pb o="310" rhead="IO. BAPT. BENED." n="322" file="0322" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0322"/>
                <p>
                  <s xml:id="echoid-s3814" xml:space="preserve">Sit exempli gratia ſtella
                    <var>.o.</var>
                  ecli
                    <lb/>
                    <figure xlink:label="fig-0322-01" xlink:href="fig-0322-01a" number="345">
                      <image file="0322-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0322-01"/>
                    </figure>
                  ptica verò
                    <var>.d.q.</var>
                  æquator autem
                    <var>.
                      <lb/>
                    p.q.</var>
                  punctus verò eclipticæ, cum
                    <lb/>
                  quo ſtella oritura ſit
                    <var>.e.</var>
                  orizon de
                    <lb/>
                    <reg norm="mum" type="context">mũ</reg>
                    <var>.o.e.</var>
                  vbi ſtella oriri poſſit
                    <reg norm="cum" type="context">cũ</reg>
                    <lb/>
                  puncto
                    <var>.e</var>
                  . </s>
                  <s xml:id="echoid-s3815" xml:space="preserve">Nam cum ſtella pro-
                    <lb/>
                  ponitur, datur etiam eius longi-
                    <lb/>
                  tudo, nec non latitudo, </s>
                  <s xml:id="echoid-s3816" xml:space="preserve">quare ar-
                    <lb/>
                  cus
                    <var>.a.q.</var>
                  & arcus
                    <var>.a.o.</var>
                  nobis cogni
                    <lb/>
                  tus erit, cum ſupponatur arcus
                    <var>.a.
                      <lb/>
                    o.</var>
                  eſſe circuli latitudinis, et
                    <var>.a.o.</var>
                    <lb/>
                  Iatitudo ipſius ſtellæ, & angulus
                    <lb/>
                  a. rectus erit, & quia punctum
                    <var>.e.</var>
                    <lb/>
                  datur, ergo arcus
                    <var>.a.o.</var>
                  & arcus
                    <var>.a.
                      <lb/>
                    e.</var>
                  ſimul
                    <reg norm="cum" type="context">cũ</reg>
                  angulo
                    <var>.a.</var>
                  recto cogni-
                    <lb/>
                  ti ſunt, vnde ex .11. primi lib. co­
                    <lb/>
                  pernici, angulus
                    <var>.a.e.o.</var>
                  cognoſce-
                    <lb/>
                  tur, & angulus
                    <var>.q.e.o.</var>
                  ſimiliter, vt
                    <lb/>
                  reſiduum ex duobus rectis quo. e
                    <lb/>
                  mediante cum angulo
                    <var>.q.</var>
                  declina
                    <lb/>
                  tionis ab æquatore,
                    <reg norm="medianteque" type="simple">medianteq́;</reg>
                    <lb/>
                  latere
                    <var>.q.e.</var>
                  cognito, cognitus quo
                    <lb/>
                  que nobis erit angnlus
                    <var>.e.t.q.</var>
                  ex
                    <lb/>
                  12. eiuſdem. </s>
                  <s xml:id="echoid-s3817" xml:space="preserve">qui quidem angulus
                    <lb/>
                  erit altitudinis æquatoris ab ori-
                    <lb/>
                  zonte quæſito, qui demptus à
                    <lb/>
                  90. gradibus, dabit altitudinem
                    <lb/>
                  poli ab orizonte quæſito.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3818" xml:space="preserve">Inuenire poſtea gradum eclipticę, cum quo ſtella data oriatur ad orizontem pro
                    <lb/>
                  poſitum, nullius eſt difficul@atis.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3819" xml:space="preserve">Ponamus exempli gratia, aliquem ſcire velle gradum eclipticæ, cum quo canicu-
                    <lb/>
                  la oritur ad orizontem, cui polus boreus eleuatur per gradus .44. quæ canicula ſup-
                    <lb/>
                  ponatur habere gradus .19. cum min .24. </s>
                  <s xml:id="echoid-s3820" xml:space="preserve">Cancri longitudinis, & gra .16. min .10. lati-
                    <lb/>
                  tudinis meridianæ, quærere primum oportet eius declinationem ex doctrina .2. pro
                    <lb/>
                  blematis tabularum directionum Monteregij, quæ erit graduum .6. cum minutis .5.
                    <lb/>
                  ſeptentrionalis, </s>
                  <s xml:id="echoid-s3821" xml:space="preserve">deinde inuenire eius aſcenſionem rectam ex doctrina .4. problema
                    <lb/>
                  tis eiuſdem Monteregij, quæ erit gra .108. mi .42. </s>
                  <s xml:id="echoid-s3822" xml:space="preserve">deinde
                    <reg norm="mediante" type="context">mediãte</reg>
                  declinatione iam
                    <lb/>
                  inuenta in tabulis differentiarum aſcenſionalium ſub polo .44. accipiemus differen-
                    <lb/>
                  tiam aſcenſionum, qua differt recta ab obliqua, quæ in præſenti exemplo erit gra
                    <num value="5">.
                      <lb/>
                    5.</num>
                  min .55. quæ dempta ab aſcenſione recta ſtellæ, vt præſens exemplum exigit, relin
                    <lb/>
                  quet nobis aſcenſionem obliquam ſtellæ propoſitæ ad polum. gra .44. quæ erit gra
                    <num value="102">.
                      <lb/>
                    102.</num>
                  minu .47. qua mediante, in tabulis aſcenſionum obliquarum poli .44. habebi-
                    <lb/>
                  mus gradum & minutum eclipticę cum quo ſtella oritur. </s>
                  <s xml:id="echoid-s3823" xml:space="preserve">quod in caſu noſtro erit
                    <lb/>
                  gra .1. min .8. Leonis, ſed ſi tecum non fuerint tabulæ dictæ, potes eleganter omnia
                    <lb/>
                  hæc perficere via triangulorum ſphæricorum.</s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum