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]

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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324312IO. BAPT. BENED.

Ponamus nos ſcire velle punctum

347[Figure 347] eclipticę, cum quo Procyon oritur
polo .44. o. dato, quod ſtella in gra .
19. cum min .24. Cancri, reperiatur
diſtans ab ecliptica per gra .16. min .
10. meridiem verſus. vnde arcus .a.q.
erit gra .70. min .36. eiusque; ſinus par-
tium 94321. talium qualium totalis
eſt .100000. arcus verò .a.o. gra .16.
minut .10. ſinus erit 27845. angu-
lus autem .a.q.e. declinationis zodia
ci ab ęquatore grad .23. min .30. cu-
ius ſinus eſt .39875. Quare ex ſupra-
dictis rationibus angulus .a.b.q. erit
gra .82. mi .24. cuius ſinus erit .99122.
arcus vero .a.b. gra .22. minu .17. cu-
ius ſinus erit .37945. angulus deinde
o.e.b. trianguli .o.e.b. eſt gra .46. mi .
o. altitudinis æquatoris ab orizonte,
cuius ſinus eſt .71934. angulus ſimili
ter .o.b.e. medio coniuncti, quibus
rectus perſicitur, arcus etiam .o.b. no
tus eſt grad .6. min .7. cuius ſinus eſt .
10655. cum ſit differentia inter ar-
cus .a.b. et .a.o. cognitos.

Quare ex .12. iam ſupradicta an-
gulus .e.o.b. hoc eſt .a.o.d. erit. grad .
36. min .39. cuius ſinus erit .59693.
deinde per .4. cognitus erit nobis an
gulus .a.d.o. gra .55. min .5. cuius ſinus
erit .81998. arcus verò .d.o. gra .19.
min .51. cuius ſinus erit .33957 ar-
cus autem gra .11. min .42. cuius ſinus
erit .20270. vnde arcus .d.q. reſiduus
ex .a.q. erit gra .58. min .54. complementum autem quartæ erit gra .31. mi .6. hoc eſt gra .
1. ſigni Leonis. cum min .6.

De ſphæroide duplæ ſpbær æ propoſit æ.

MOdus autem inueniendi ſphæroidem ex dato axe, quod duplum ſit ſphæ-
ra propoſita, talis eſt.

Sit exempli gratia .a.b.c. ſphæra propoſita. cuius ſemidia meter ſit .o.c. ſemiaxis
vero ſphæroidis ſit .d.x. cuius dimidium ſit .u.x. tunc ex doctrina .9. ſexti Euclid. inue
niatur .g.h. media proportionalis inter .u.x. et .c.o. deinde ſicut ſe habet .u.x. ad .g.h.

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