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# Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103)
# Folio 20, page id 85138403X:0036
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c CLCLI
IIla, uE 00, FBX Y 7, 2 b X 2 9, 3 bX 37, _cc, hoc eH, 00, 1b y
4by, 9b y, _c, ulque ad BY. Deinde, cum horum planorum
momenca respectu rectae A F, Sint factis ex maenicudinibus in
distancias proportionalia; Cintque diltantia, uE O, a, 2a, 3 a, uC,
vique ad L; CTUHE CA MOICNEA UF O b p XO a, L b p X T a, 4 b y X2a,
9b yX3 a, _C, hoc Clt 000, F a b y, 8 a b y, 27 a b y, ec, L(que
ad AB Y. HOc el, ommiamomenca, sune series Perrianorum;
Oux Terranorum series, ad cocidem maximo xqualia, hoc est ad
maximum in alticudinem ductum, hoc est ad Cslindrum vel
Prisma ejusdem vel aequalis balis aquealtum ex puncto Y su-
spensum, est uc x ad 4. Guod dicamus igirur = A ABY.
63. Fodem modo; Infinicae rectae Traperii, a minima B, hOc
est Br, ad usque B F B, Sve 2B, hoc estV P; Tune B + O, B + b,
B + 2b, B + 3 b, Ecuque ad B + B. Radii vero peripheriarum
amediis rectarum punctis descripearum, Tune Z + 0, Z Y y
Z+ 2 7, Z + 37, _C, usque ad Z F Y. Fx quibus seriebus invicem
respectire ductis Ac series magnieudinum, B Z + 0Z + oB+00,
BZ + bZ + y B + by, BZ + 2 bZ + 2 y BF + by, BZ + 3bZ
+ 3y B+ 9by, ec, uque 2d BZ + BZ +YB + BX. Oux SI
ducantur in respectiras uas ab A F diCtanEIaS O, a, 2a, 3a, _C
ulque ad A; tier series Momencorum
OBZ 10007400B +000
a BZ + a b Z F a y B + a b y
2 aBZ + 4a bZ + 4ay B + 8 a by
3aBZ +9 ab Z, +9ay B +27 a b7
ecc ulque ad
ABZ + ABZ + AYB+ ABY
Cujus summa eAt Z A ABZ. +: A ABZ t = A AYB + = A ABY.
Eve
6A ABZ + Z. AABY.
6a. Cum igitur sic rario momenei hujus ad momentum illius,
Ut Z A ABZ + Z A ABY ad = A ABY; hoc est (dividendo
Per A A B) ut 2 Z + 2 7
uc 10Z F , Y ad 3Y:
ive (ductis omnibus in 22)
Nempe, ut 10Z2 + 7 2 X 2d 32Y.
eadem scilicet rario quxe _ supFa 546,) Arque hoc ubique:
PFOPteF Omnes 7 ZY ad 32Y, Ponenda racio 7 ad 3; _ PrO
PTeF 2OZ Z ad 3ZY, eadem guae supra S 45. Ec quidem can-
dem ucrobique rationem provenire necesse est, (utuc variis modis
dibueric inrestigare:) Nam momenum solidi ex conversione e
jusde
8.