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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)
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D5 C755OTD
Fermatio paulo anre disserueram) sic et spatium hoc Cissoidale ex
noltra Infinitorum Arithmerica suxpedicare possem.
Id ivaque Ctacim qui fieri polle, sequenri demonstratione in-
dicabum; quam non pigebit hc repetere.
Si dueantur rum Z (3 H diamecer, tum recta R C, _ R L
(diaeEO C F in L OCCUEreNS:) oMtendic PapPuS l. 3. P. 5. PFO-
PEeE cum Z Z bisectam in HI, cum ZR in C, rectam R Z
rectae GII parallelam esse: Adeoque rum ZC K angulum in
Temicirculo, cum angulos ad L, rectos esse: Et consequenter re-
Etas Y F, L. K, L C, L Z, concinue proporrionales. Ouod qui-
dem non minus valet de puncto 2 quoris in Ciloidis continua
tione exrra semicirculum, quam (qui Pappi casus CH) ubi inEra
Temicirculum concingit.
Ponamus jam rectam F C diameerum in aequales parceS nu-
mero infinicas infiniris punctis L. diridi. Frune icague omnes
C L, VC Z, 2, 3, 8c. drichmetice proportionales, quae succes
SIVe dICAREUT, a3 GUAFUI MAZIMA C F diCaTUT Z. FrIEque L R,
(Quippe media proporrionalis inter C L _ L I, hoc est, inter
a D = a3) N: a D= a. CUIque SIE UE L B ad L C, SICLC
ad L. L; erit
a
V: D = ad
sive
s
s
aD
2
el
V ax
Erc
V. Hloc est, omnia qua-
drata L. Z, sune series Perrianorum, per seriem Primanorum in
verse policorum, respectire divila: ipsaeque L. I. recta, in horum
Quadrarorum racione subduplicaca.
Quod aurem omnes a 7 = hoc est, omnes L. Z. spatium
F C Z A F complences, ad omnes V: a D = a: vel V aX N:
Du a: hoc est, ad omnes L. I complences semicirculum, GinE
in cacione tripla; ex principiis Arithmericae Infinitorum (IC Col-
ligimus.
Si series subsecundanorum sive Va, in seriem primanorum a
inverlam (hoc est, inD  a) respectire ducatur, het series D d a
a V a sive D N a =V at: qua est ad seriem A qualiii sive con
sidem D N D vel Y D, uc Z  3 ad r, Eiveuc 4 ad 25. (PeF
oTOP.
F19, 220