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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IO. BAPT. BENED.
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iunctionem cum Saturno, vt rurſus aſſequatur Saturnum, tranſeundum ei erit
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gra
<
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value
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242
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242.</
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min .58. iter confectum à Saturno toto tempore annorum .19. & dierum .314.
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ad rationem graduum .360. diebus .10740. (poſſumus
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dicere gra .243. quia præ
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termiſimus quaſdam exiguas particulas periodorum perfectorum cuiuſque planetę
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in ſuperioribus ſupputationibus.) </
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<
s
xml:id
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xml:space
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">Illos verò gradus .43. Iupiter conſiciet diebus
<
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2921
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2921.</
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ad rationem graduum .360. diebus .4328. </
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<
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ita vt diximus, ab vna coniun-
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ctione ad aliam intererunt anni .19. </
s
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<
s
xml:id
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xml:space
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">Aegiptij cum diebus .314. vel circa.</
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<
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<
s
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xml:space
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">Nunc autem vt videatur an tabulæ Alfonſi conueniant cum hoc
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calculo,
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ſiderabimus</
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,
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Era (vt vocant) dicti temporis annorum .19. cum diebus .314. eſt dua-
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rum tertiarum ſexagenarum, ſecundæ nullius, & 53.
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ſiue dierum. </
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Eram colligendo motum mediocrem, tum Saturni, tum Iouis, omiſſis radicibus, & in
<
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cipiendo ab Ariete, comperiemus
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<
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planetæ lineæ eiuſmodi motus tranſi
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bunt per min .56. tertij gradus Sagittarij, ideſt coniunctæ erunt.</
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<
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<
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xml:space
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">In fine poſtea ſecundæ periodi, cuius era erit .4. tertiarum, ſecundæ .1. et .47. pri-
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marum ſexagenarum, locus mediocris
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erit in min .56. gra. ſexti Leonis. </
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xml:space
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">In
<
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fine verò tertiæ periodi, cuius era erit .6. tertiarum .2. ſecundarum, et .41. primæ, lo-
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cus eorum mediocris inuenietur in .56. minuto gradus .9. Arietis. </
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ita deinceps
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in fine
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periodi, locus
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mediocris coniunctim ſemper diſtabit à loco me
<
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diocri præcedentis coniunctionis gradibus .117. ideſt in trigono antecedenti, minus
<
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gra .3. </
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xml:space
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dinis
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Zodiaci, ſed reſpectu ordinis graduum
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, ſemper
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or
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dine per ternos gradus nunquam retrogradientes. </
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xml:space
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in omni triplicitate coniungantur hi duo planetę, vt antiqui putauerunt, ſed decies
<
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tantum. </
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<
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xml:space
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">& ad ſummum ter in ſingulo ſigno, ſpatio annorum .198. & dierum .220. aut
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circiter, non autem .240. nec .242. </
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xml:space
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vltima vice inueniuntur in ſigno ſequenti alterius triplicitatis. </
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xml:space
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namus
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prima vice
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in gra .2. Arietis, ſecunda coniunctio erit in .5. </
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tarij, tertia. in .8. Leonis. quarta in .11. Arietis, quinta in .14. Sagit .6. in .17. Leonis.
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/>
ſeptima in .20. Arietis, octaua in .23. Sagittarij, nona in .26. Leonis, decima in .29.
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Arietis, et vndecima erit in gra .2. Capricorni ſigni
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triplicitatis. </
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<
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tur interualla ſingula annorum .19. & dierum .314. faciunt annos .198. & dies .220.
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Immo pertabulas Alfonſi, eiuſmodi periodus non modo non reperitur
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.242
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nec .240. vt antiqui credidere, ſed tribus diebus minor annis .198. & diebus .220. id-
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eſt per dictas tabulas inuenitur eſſe annorum .198. & dierum .217. tantum, qui nume
<
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rus multiplicatus per .4. triplicitates, efficiet periodum maiorem, quæ erit annorum
<
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794. & dierum .138. quo tempore dicti planetæ redeunt ad eundem locum vbi pri-
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mum ſe coniunxere.</
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<
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<
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xml:space
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">Vt exempli gratia, locus mediocris Saturni & Iouis in fine annorum .198. dierum
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217. reperitur in gradu .30. Sagittarij. </
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xml:space
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">Si quæſiuerimus hunc locum per
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annorum .794. & dierum .138. cum annis .198. & diebus .217. quorum ſumma eſt
<
num
value
="
992
">.
<
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992.</
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>
& dies .355. inuenietur locus mediocris ipſorum
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in dicto vltimo gra
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du Sagittarij. </
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<
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xml:space
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">Sed ſi quęſiuerimus eorum locum mediocrem per aggregatum anno
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rum .198. & dierum .217. cum annis .960. quod erit ſumma annorum .1158. &
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<
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217. reperiemus Iouem in gradu .18. </
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<
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xml:space
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">Sagittarij & Saturnum in .16. Leonis diſtanti-
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bus inter ſe duabus eorum lineis motuum mediocrium gra. circiter .122. </
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Iupi-
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ter præcedet, & oportebit
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coniunctio eorum mediocris fuerit multis annis ante
<
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omittendo (vt dixi) radices, quia ſatis eſt inuenire interuallum inter lineas eorum me
<
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diorum motuum.</
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