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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 (shelfmarks Leibn. Marg. 84:1, Stück 2; Leibn. Marg. 84:1)
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DF CISSOTDE.
prop. 64 8 73 Prichm. Infin.) Fodem modo h respectire duca
cur eadem series a a, in seriem at inversam, hoc elt in seriem :
D- a: vel DE = 2 aD F a, Fiet series D = Va - 2D a V a t a Va
vel D= V a 2 D V at + V a, quae est ad seriem Aqualium,
Eirecoridem D= V D vel V D3, UC = - + F = ad F, sIvC VE 16 ad
205. Fesimiliter, Ei eadem series V a respectire ducaeur in ali: 5
series inverlas, prodibunthae raciones subjecta. Nempe li series
Na ducaeur inverse in
series L. a.
rationes 2
hoc est
2
4
25
2X2
a
10
205
a
96
a.
768
945 103950
ec. ProdibunE
eCo
2X2X4 2X2X4X6 2X2X4X6Y8.
3X5 3X5X7 3XGX7XG 3XGX7XGXIY _C.
Si vero hi loci proparibus habeantur, e suppleantur incerjecti
loci impares; ponendo, in locoterrio, (inter L e a,) proserie
a a in a a inverse ducta, rationem L ad 2D (PeF PFOP. 167.
rich. Infin.) Sicuc ratio loci quarti mulciplicar rarionem secundi
per 5, e hanc ratio sexti per Z, 5c. manifettum est (ex consecu-
cione seriei) rationem quinei mulciplicare rationem cerrii per z.
e similicer in reliquis. Nempe series Na ducta inverse in
Ceries 
a
2. Ya a. V a. a. V a3. ec. dabit
cationes=)
E 2X2 E X3, 2X2X4 +
4 2CI3 2T 3X5 2_ 6 3XGX7 2H XC
Unde, in Prxesens negorium hoc salcem seligendum est, series va
e V a invicem invesse ductas, ad seriem aequalium, sive ad
D== V D cOrIES SUPEUM, UE = F X Z ad L; sive uc X ad 4V.
Deinde, uc seriem v a jam perpendimus, rerpendamus simi-
ticer seriem sa. La nempe ducta in seriem a invertam, hoc eAt,
in D = a dac seriem D V a = a V a, vel D V a=  a cui
convenic rario 3 = E ad 2, sire 4 ad 35. Fclimiliter in reliquis
NemPC