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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 84, page id 85138403X:0100
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine
# Lines: 56 recognised, mean confidence 0.78
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DE C7SSOTDE
Nempe series V’a inverse ductain.
Teries (11 1. ad ( 2.
raTIOIeS
hOcC
abi 5
222
5X7
e
25
a a dec. dabic
346
1d
45045
_C.
2X2X4 2X2XAY6 2X2XAX6X8
5X7A9 SH7HOKIF SXZKGXTTKF3
ec.
Si vero hi loci pro paribus habeaneur, et suppleineur loci impa-
Tes, ponendo (per inquilicionem modo Factam) LOcOTertio (inter
= _ 4) rationem a. Uc racio loci quarei mulciplicat rationem
secundi per=
2 ee illam rario (exri per Z; siC rationem lOci TerLII
mulciplicabicrario loci quinei per 3, ratio cereii racionem primi
1
Per 3; e de
eta in 
series
6
eliquis sumilirer. Hempe series  a inverse dua
C. V . a.
e
242
a a. a V a Ec. dat racio.
X1.
2X284,
2
A SAB 5X7 4C A 5X7X9 4 C
x 3 X 5-
20
ac.
Cumigicurseries v a inseriem, inverse ducta; hoc
est series a per seriem a a inverse divisa, hoc est divisa per
V: D = a Sc ad seriem aequalium, sive D coties suPEuM; UE
5 44 ad E, hoc est, ut 6 ad 4 B, vel 3 ad 2H; FrunEomnes
D a
hoc est omnes L. 2, hoc est FC Z. AF spatium, ad
Drories sumprum, hoc est ad D, uc 3 ad 2 H. Sed (Fer PrOP.
267 Arici. InFn.) Omnes V: a D = a: hOc eA L. K, hoc est
CZ F semicirculus, est ad D=, uC P ad 217. Frgo Spacium illud est
Triplum Semicirculi. Ouod erac ostendendum.
Sed ex ex abundanti octendebam, Dicti spacii lineam centri
Gravicatis rectx F A parallelam ab eadem distare sexrd parte dia-
metri: Icem, Colidum Factum ex convertione dicti spatii circa FA
uc arem, aequalem esse solido ex convertione FZ C semicirculi
CirCa