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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Cubus poſtea ipſius .b.e. erit partium .1539838576570176.
Pro Duodecaedro demum, accipe ſinum gra .36. qui gradus ſunt pro dimidio quin
partis totius gyri circularis, qui quidem ſinus, erit partium .58778. cuius quadratum
ſi
dem pſeris ex quadrato ipſius .100000. ſemidiametri circuli circunſcribentis aliquem pen-
tago
num æquilaterum, & æquiangulum,
tunc radix reſidui, erit perpendicularis du-
cta
à centro dicti circuli ad medium vnius lateris ipſius pentagoni, quæ perp endicu
laris
, erit partium .80902. talium qualium medietas lateris dicti fuerit .58778.
Nunc
verò dicendo ſi .58778. dat .80902. quid nobis dabit .35684?
medietas lateris
ipſius
Duodecaedri, vnde da bit .49116. pro perpendiculari, à centro ipſius penta-
goni
, ad latus ipſius Duodecaedri, quæ multiplicata cum me dietate ſupradicta ip-
ſius
lat eris, hoc eſt cum .35684. producet vnum ex quinque triangulis componenti-
bus
vn um pentagonum, ſeu vnam baſim ipſius Duodecaedri, quod quidem triangu
lum
, erit partium .1752655344. ſu perficialium, quas ſi per quinque multiplicaueris
habeb
is vnam baſim pentagonam dicti corporis partium .8763276720.
Dicendum
poſtea
eſt, ſi ad .80901. conuenit ſemidiameter circularis partium .100000. quid con
ueniet
partibus .49116. dabit .60711. pro tali ſemidiametro circulari, cuius quadra-

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