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.
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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