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
231 219
232 220
233 221
234 222
235 223
236 224
237 225
238 226
239 227
240 228
241 229
242 230
243 231
244 232
245 233
246 234
247 235
248 236
249 237
250 238
251 239
252 240
253 241
254 242
255 243
256 244
257 245
258 246
259 247
260 248
< >
page |< < (311) 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="311" rhead="EPISTOL AE." n="323" file="0323" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0323"/>
                <p>
                  <s xml:id="echoid-s3824" xml:space="preserve">Via triangul@rum
                    <unsure/>
                  idem facere.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3825" xml:space="preserve">Sit
                    <reg norm="exempli" type="context">exẽpli</reg>
                  gr@tia
                    <var>.q.b.</var>
                  æquator, ecliptica verò
                    <var>.q.a.</var>
                  propoſitus
                    <reg norm="autem" type="wordlist">aũt</reg>
                  orizon ſit
                    <var>.o.c.d.</var>
                    <lb/>
                  & ſtella data ſit
                    <var>.o.</var>
                  in orientali parte orizontis, circulus verò
                    <var>.a.o.</var>
                  ille ſit, qui
                    <reg norm="tranſiens" type="context">tranſiẽs</reg>
                    <lb/>
                  per polos eclipti
                    <unsure/>
                  cæ & per centrum ſtellæ terminat longitudinem ipſius ſtellæ, & in
                    <lb/>
                  ipſo ſit eius latitudo. </s>
                  <s xml:id="echoid-s3826" xml:space="preserve">Nunc propoſitum ſit inuenire arcum
                    <var>.d.q.</var>
                  eo quod illicò ſcie
                    <lb/>
                  mus punctum
                    <var>.d.</var>
                  qua propter oportet nos prius cognoſcere arcum
                    <var>.d.a.</var>
                  qui demptus,
                    <lb/>
                  vel additus arcui
                    <var>.a.q.</var>
                  prius cognito ex ſuppoſito (nam data nobis eſt longitudo, &
                    <lb/>
                  latitudo ſtellæ) dabit nobis
                    <var>.d.q</var>
                  .</s>
                </p>
                <p>
                  <s xml:id="echoid-s3827" xml:space="preserve">Cum igitur voluerimus arcum
                    <var>.d.a.</var>
                  cognoſcere, ita faciemus. </s>
                  <s xml:id="echoid-s3828" xml:space="preserve">nam
                    <var>.q.a.</var>
                  cognitus
                    <lb/>
                  nobis eſt ex ſuppoſito vt dictum eſt. </s>
                  <s xml:id="echoid-s3829" xml:space="preserve">angulus quoque
                    <var>.a.q.b.</var>
                  qui declin tionis eclipti
                    <lb/>
                  cæ ab æquatore eſt, angulus deinde
                    <var>.a.</var>
                  (trianguli
                    <var>.a.b.q.</var>
                  ) rectus eſt, ergo ex .4. primi
                    <lb/>
                  copernici cogn@tus nobis erit arcus
                    <var>.
                      <lb/>
                    a.b.</var>
                  nec non angulus
                    <var>.a.b.q.</var>
                  vnde an-
                    <lb/>
                    <figure xlink:label="fig-0323-01" xlink:href="fig-0323-01a" number="346">
                      <image file="0323-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0323-01"/>
                    </figure>
                  gulus
                    <var>.o.b.e.</var>
                  reſiduus ex duobus re-
                    <lb/>
                  ctis in duobus primis hic ſubſcriptis
                    <lb/>
                  figuris nobis itidem cognitus erit,
                    <lb/>
                  etiam & arcus
                    <var>.b.o.</var>
                  reſiduus ſiue com
                    <lb/>
                  poſitus ex ar cu
                    <var>.a.o.</var>
                  cognito ex ſup-
                    <lb/>
                  poſito
                    <reg norm="cum" type="context">cũ</reg>
                  ſit arcus latitud nis ab ecli-
                    <lb/>
                  ptica. </s>
                  <s xml:id="echoid-s3830" xml:space="preserve">Tunc
                    <unsure/>
                  in triangulo
                    <var>.o.b.e.</var>
                  co-
                    <lb/>
                  gnoſcimus latus
                    <var>.o.b.</var>
                  & angulum
                    <var>.o.
                      <lb/>
                    b.e.</var>
                  nec non angulum
                    <var>.b.e.o.</var>
                  qui eſt
                    <lb/>
                  altitudinis æquatoris ab orizonte ,
                    <lb/>
                  </s>
                  <s xml:id="echoid-s3831" xml:space="preserve">quare ex .12. dicti lib. cognitus nobis
                    <lb/>
                  erit angulus
                    <var>.b.o.e</var>
                  . </s>
                  <s xml:id="echoid-s3832" xml:space="preserve">Conſideremus
                    <lb/>
                  deinde triangulum
                    <var>.a.o.d.</var>
                  cuius angu
                    <lb/>
                  lus
                    <var>.a.</var>
                  rectus eſt, & angulus
                    <var>.a.o.d.</var>
                    <reg norm="cum" type="context">cũ</reg>
                    <lb/>
                  latere
                    <var>.a.o.</var>
                  etiam cognitus, vnde ex
                    <lb/>
                  ſupradicta .4. nobis cognitus erit ar-
                    <lb/>
                  cus
                    <var>.a.d.</var>
                  & conſequenter cognoſce-
                    <lb/>
                  mus at cum
                    <var>.d.q.</var>
                  eius reſiduum, ſeu
                    <lb/>
                  compoſitum, quem quærebamus.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3833" xml:space="preserve">Sed ſi hac via inuenire deſideras,
                    <lb/>
                  cui orizonti propoſita ſtella oriatur
                    <lb/>
                  cum eodem eclipticę puncto
                    <var>.a.</var>
                  lon-
                    <lb/>
                  gitudinis, hoc aliud nihil eſſet, quam
                    <lb/>
                  cognoſcere amplitudinem anguli
                    <var>.a.
                      <lb/>
                    b.q.</var>
                  eo quod talis orizon, idem cir-
                    <lb/>
                  culus eſſet
                    <var>.a.b.o.</var>
                  vnde cum quis ſci-
                    <lb/>
                  ret vnum illorum angulorum quem
                    <lb/>
                  æquator efficit cum orizonte, reli-
                    <lb/>
                  qua illicò ei innoteſcent, ſed dictus
                    <lb/>
                  angulus
                    <var>.b.</var>
                  iam diximus quomodo
                    <lb/>
                  cognoſcatur.</s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum