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
261 249
262 250
263 251
264 252
265 253
266 254
267 255
268 256
269 259
270 258
271 259
272 260
273 261
274 222
275 263
276 264
277 265
278 266
279 267
280 268
281 269
282 270
283 271
284 272
285 273
286 274
287 275
288 276
289 277
290 278
< >
page |< < (237) 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-div495" type="section" level="3" n="5">
              <div xml:id="echoid-div495" type="letter" level="4" n="1">
                <p>
                  <s xml:id="echoid-s2968" xml:space="preserve">
                    <pb o="237" rhead="EPISTOLAE." n="249" file="0249" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0249"/>
                  trum epicycli conficit gra .36. min .13. ad rationem ſupradictam. </s>
                  <s xml:id="echoid-s2969" xml:space="preserve">Reſtat nunc no-
                    <lb/>
                  bis inuenire angulum
                    <var>.b.o.c.</var>
                  in centro
                    <reg norm="mundi" type="context">mũdi</reg>
                  inter duas lineas,
                    <var>b.o.</var>
                  et
                    <var>.c.o.</var>
                    <reg norm="quarum" type="context">quarũ</reg>
                  prior
                    <lb/>
                  eſt primæ ſtationis, altera eſt veri motus epicycli, quod facilè intelligemus per di-
                    <lb/>
                  ctam .49. lib. 1. Monteregij, cum duo latera
                    <var>.n.c.</var>
                  et
                    <var>.c.o.</var>
                  & angulus
                    <var>.n.c.o.</var>
                  ſint nobis no
                    <lb/>
                  ta. </s>
                  <s xml:id="echoid-s2970" xml:space="preserve">Hoc autem fiet fingendo lineam
                    <var>.n.h.</var>
                  perpendiculerem ad
                    <var>.o.c.</var>
                  quæ tanquam ſi-
                    <lb/>
                  nus anguli
                    <var>.n.c.h.</var>
                  erit partium .28986. talium qualium
                    <var>.n.c.</var>
                  eſſet partium .100000. &
                    <lb/>
                    <var>c.h.</var>
                  tanquam ſinus anguli
                    <var>.c.n.h.</var>
                  reſtantis ex vno recto, erit partium .95706. dicendo
                    <lb/>
                  poſtea ſi
                    <var>.n.e.</var>
                  tanquam ſinus totalis partium .100000. dat nobis
                    <var>.n.h.</var>
                  partium .28986
                    <lb/>
                  quid dabit nobis diameter
                    <var>.n.c.</var>
                  tanquam partium .39. mi .30. inueniemus
                    <var>.n.h.</var>
                  venire
                    <lb/>
                  nobis ex partibus 11. mi .27. & idem faciendo de
                    <var>.c.h.</var>
                  inueniemus quod veniet no-
                    <lb/>
                  bis partium .37. mi .48. quibus ſubtractis extota
                    <var>.c.o.</var>
                  quę eſt
                    <reg norm="partium" type="context">partiũ</reg>
                  .60. mi .18. reliqua
                    <lb/>
                  erit nobis
                    <var>.h.o.</var>
                  partium .22. min .30. capiendo poſtea radicem
                    <reg norm="quadratam" type="context">quadratã</reg>
                  ſummæ qua
                    <lb/>
                  drati
                    <var>.n.h.</var>
                  cum quadrato
                    <var>.h.o.</var>
                  veniet nobis
                    <var>.n.o.</var>
                  partium .25. min .12. talium qualis
                    <var>.n.
                      <lb/>
                    h.</var>
                  eſt partium .11. min .27. ſi igitur ad
                    <var>.o.n.</var>
                  tanquam partium .25. min .12. reſpondet
                    <var>.
                      <lb/>
                    n.h.</var>
                  partium .11. minuti .27. linea
                    <var>.n.h.</var>
                  ad
                    <var>.o.n.</var>
                  tanquam partium 100000. reſpon
                    <lb/>
                  debit part .45436. tanquam ſinus anguli
                    <var>.n.o.h.</var>
                  qui angulus erit gra .27. minut .1. ſub
                    <lb/>
                  tracto poſtea hoc angulo ab angulo
                    <var>.c.o.i.</var>
                  graduum .40. minut .55. remanebit an
                    <lb/>
                  gulus
                    <var>.n.o.i.</var>
                  graduum .13. minut .54. inter lineam contingentiæ, & lineam primæ
                    <lb/>
                  ſtationis in eiuſmodi ſitu. </s>
                  <s xml:id="echoid-s2971" xml:space="preserve">Et ideo Mars acceſſerit ad lineam
                    <var>.o.c.</var>
                  veri motus epi-
                    <lb/>
                  cycli. </s>
                  <s xml:id="echoid-s2972" xml:space="preserve">Sed quia linea
                    <var>.o.i.</var>
                  contingentiæ, propter motum centri epicycli, in dictis die-
                    <lb/>
                  bus .69. confecerit gradus .36. minut .13. ( præſuppoſita ſemper eadem di-
                    <lb/>
                  ſtantia
                    <var>.o.c.</var>
                  quamuis nonnulla ſit differentia, quam nunc prætermittemus ) & Mars in
                    <lb/>
                  dicto tempore retrogreſſus fuerit per dictum angulum gra .13. mi .54. quibus dedu-
                    <lb/>
                  ctis, ex .36. & min .13. reſtabunt gra .22. min .19. itaque in diebus .69. </s>
                  <s xml:id="echoid-s2973" xml:space="preserve">Mars promo-
                    <lb/>
                  tus fuerit a primo ſitu gra .22. min .19. aut circiter, prius quam retrogradatio eius in-
                    <lb/>
                  cipiat eſſe appa-
                    <lb/>
                  rens.</s>
                </p>
                <figure position="here" number="290">
                  <image file="0249-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0249-01"/>
                </figure>
                <p>
                  <s xml:id="echoid-s2974" xml:space="preserve">Nunc à prima
                    <lb/>
                  ſtatione vſque ad
                    <lb/>
                    <reg norm="lineam" type="context">lineã</reg>
                  veri motus
                    <lb/>
                  epicycli ſunt gra
                    <num value="16">.
                      <lb/>
                    16.</num>
                  min .51. ipſius
                    <lb/>
                  epicycli, vt ſupra
                    <lb/>
                    <reg norm="vidimus" type="simple">vidimꝰ</reg>
                  quos Mars
                    <lb/>
                  tranſit in diebus
                    <lb/>
                  36. aut circiter ad
                    <lb/>
                  rationem min .28.
                    <lb/>
                  in ſingulos dies,
                    <lb/>
                  quo tempore cen
                    <lb/>
                  trum epicycli, in
                    <lb/>
                  tali diſtantia à
                    <reg norm="cen- tro" type="context">cẽ-
                      <lb/>
                    tro</reg>
                  mundi confice
                    <lb/>
                  ret gra .18. mi .54.
                    <lb/>
                  ad rationem min
                    <num value="31">.
                      <lb/>
                    31.</num>
                  cum dimidio
                    <lb/>
                  in ſingulos dies,
                    <lb/>
                    <reg norm="quibus" type="simple">quibꝰ</reg>
                  deductis ex
                    <lb/>
                  gra .27. min .1. an- </s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum