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]
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EPISTOL AE.
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243
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0243
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<
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xml:space
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">Quod ſecundum primum ſuppoſitum finiebatur ſpacio annorum .240. qui nume
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rus fit. ex .20. duodecies multiplicatis. </
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xml:space
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">Et quia triplicitates ſunt .4. ideo credebant
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in ſpacio annorum .960. qui numerus fit ex .240. quater multiplicato, perfici .48.
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iunctiones</
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, priuſquam redirent ad ſe coniungendos in eodem loco, ubi prius iun-
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cti fuiſſent. </
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<
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xml:space
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,
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colligebant ſic ratiocinantes. </
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<
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xml:space
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">Si Saturnus annis .30. peragit ſuum curſum per om-
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nia ſigna Zodiaci, Iupiter autem peragit eum annis .12. Saturnus ambulauerit .4. ſi
<
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gna, et .4. quintas partes ſigni, ſiue gra .24. dum Iupiter peragit integrum ambitum
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ideſt annis .12. </
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<
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xml:space
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">Itaque deſunt ei anni .8. ad perueniendum ad .20. quibus .8. annis Sa-
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turnus
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ſigna tria &
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unius ſigni
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gradus .6. qui iuncti dictis ſi
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gnis .4. & gra .24. faciunt ſigna .8. quæ Iupiter item percurrit in annis .8. atque ita in
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annis .20. </
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perueniat ad
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, cum Saturnus eo
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dem tempore perfecerit curſum ſignorum .8. </
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xml:space
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ſe collegerant ex dictis ſuppoſitis, dicentes, ſi Saturnus annis .30. ambulat .12. ſigna
<
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proculdubio annis .20. ambulat .8. ſigna, quo tempore Iupiter perambulat .20. ad ra
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tionem .12. ſignorum in annis .12.</
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<
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xml:space
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">Verum hoc ſuppoſitum non eſt bonum, quoniam, ſi ita eſſet, coniunctiones
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duorum planetarum nunquam exirent ex vna triplicitate, & non modo .960.
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anno, ſed etiam ſexageſimo rurſus coniungerentur in eodem puncto. </
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xml:space
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nes eorum (ſemper autem intelligo de medijs) unquam egrederentur ex illis tribus
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ſignis Zodiaci.</
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<
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">Sed periodus æqualis Saturni, eſt dierum circiter .10740. atque ita minor an .30.
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atque etiam .29. cum dimidio periodus autem æqualis Iouis, eſt circiter .4328. vt
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ego eam comperio, quidquid alij
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,
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planius alias oſtendam. </
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hæc per
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iodus Iouis, etiam minor eſt ann .12. prætermittendo in ſupputatione
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Saturni
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Iouis quaſdam minutias horarum & earum partium, quæ hac in re pto nihilo habe-
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ri poſſunt. </
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xml:space
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mus cognoſcere interuallum quod erit inter vtramque mediam coniunctionem, hoc
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modo agendo, & ratiocinando.</
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xml:space
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">Si Saturnus diebus .10740. circuit gradus .360. diebus .4328. qui ſunt periodus
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Iouis, conficiet gradus .145. & min .4. ideſt min .8704. & eadem regula inueniemus
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Saturnus .30.
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diebus, conſiciet min .60. & ſecunda .20. </
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gulis .30. diebus, conficiet min .149. & ſecunda .43. vnde ſubtrahendo minuta Satur-
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ni à minutis Iouis, ſupererunt min .89. cum ſecun .23. </
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Iupiter .30.
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die-
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bus velocitate curſus, ſuperabit Saturnum minutis .89. cum ſecundis .23. </
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dicen-
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do, ſi minuta .89. cum ſecundis .23 dant nobis dies .30. ſupradicta, minuta .8704. da-
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bunt nobis dies .2921. quibus iunctis cum diebus .4328. periodi Iouis, efficientur dies
<
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7249. ideſt anni Aegiptij .19. cum diebus .314. & hæc erit æqua periodus temporis
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inter vtranque coniunctionem horum duorum Altiorum planetarum. </
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<
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nius oſtendatur hanc operationem rectam eſſe (nam demonſtrationem
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huius operationis in .113. Theoremate noſtræ Arithmeticę
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videre licet) fieri
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poteſt his alijs calculis.</
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<
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">Si Saturnus diebus .10740. tranſit per gra .360. in ſpacio dierum .2921. tranſibit
<
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per gradus .97. min .54. quibus iunctis cum gra .145. min .4. ſupra notatis, efticientur
<
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gra .242. min .58. </
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<
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xml:space
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">Deinde, ſi Iupiter ſpatio dierum .4328. tranſit per gra .360. igitur
<
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ſpatio .2921. per eandem regulam inueniemus eum tranſire gradus .242. mi .58. qui
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numerus par eſt illi Saturni. </
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>
<
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xml:space
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