# Full text: Clavius, Christoph: Geometria practica

LIBER OCTAVVS. bum ponitur differentia, qua à præcedenti cubo differt. In quarta denique co-

### 416.1.

Differentiæ
cuborum quo
modo repe-
riantur.
Conſtructio
tabulæ cubo-
rum.
Progreſſio \\ ſenarij. # Differẽtiæ \\ cuborum. # Cubi. # Radices.
6 # 1 # 1 # 1
12 # 7 # 8 # 2
18 # 19 # 27 # 3
24 # 37 # 64 # 4
30 # 61 # 125 # 5
36 # 91 # 216 # 6
42 # 127 # 343 # 7
48 # 169 # 512 # 8
54 # 217 # 729 # 9
60 # 271 # 1000 # 10
66 # 331 # 1331 # 11
72 # 397 # 1728 # 12
78 # 469 # 2197 # 13
84 # 547 # 2744 # 14
90 # 631 # 3375 # 15
96 # 721 # 4096 # 16

Eædem differentiæ cuborum in ſecunda columna deſcriptæ inuenientur
triplicata, atque inſuper 1. Conflatus enim numerus erit differentia, qua cubus
propoſitæ radicis ab inſequenti cubo differt. Vt ſi deſideretur differentia inter
conflabitur differentia 127. quæſita. Atque hoc modo, ſi continuentur differen-
tiæ cuborum ope progreſsionis ſenarij, extendetur tabula cuborum, quantum
libuerit. Suntautem, vt vides, numeri progreſsionis ſenarij ſextupli radicum cu-
borum, ſinguli ſingularum. Vt 60. ſextuplus eſt radicis 10.

Qvia verò diximus, cubos gigni ex ad ditione numerorum imparium, nimi-
rum primum eſſe 1. ſecundum ex duobus ſequentibus 3. 5. confici, & tertium ex
tribus ſequentibus 7. 9. 11. & c. ita vt quilibet ex tot imparibus coaceruetur,
quotvnitates in eius radice continentur; ſi curioſus quiſpiam noſſe deſideret,

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