6
Fig. I.
■ Problemata Geometrica varia.
Peripheria ad diametrum, ex Archimedis sententia est,ut 22, ad 7 fere.
Radius circuli est aequalis 57gr. 17 44/' 48 " ^ 57 g r '
l 7
m
\ fere.
De area Circuli.
C^LIadratum Radii est, ad aream Circuli, ut Diameter, ad^ peripheriam.
Quadratum peripheriae est, ad aream circuli,
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Quadratum Diametri, ad aream Circuli,
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Peripheria est, ad latus Quadrati circulo sequalij
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Diameter est, ad latus Quadrati circulo aequal.
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Diamet. 11 3""7 Quadrat. Peripher. ad u 1420^8Peripher. 355,^22 aream circuli, 11 3^7
Quadratum diametri ad aream circuli, Ut^ a 14
355 ^ii
Cubus diam. 678*^^ vel, 10.00000.00000.00000.oooo 0adSphser. ^355^1 vel, $.23598.77559.82988.73
1. 11 3 . 355 : : Diam.periph. :: QJDiamctri Sphaericum*
4. 452 . 355 : . Q. Diamet. area circuli.
6. 678 . 355 :: Cubus Diamet. Sphaera.
Nota. Si ponas diametrum 7, Sc peripheriam 22 , live * c '\curatius diametrum 113, peripheriam 355 , & hinc faci* 5Sphaeram, & cylindrum Sphaerae circumicriptum. Erunt accu-rate Sphaera & cylindrus , ut 2 & 3. Idem etiam eveniet c}ialiis quibuflibet numeris illo modo tractatis licet (si propo f "
tionefl 1 '