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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 54, page id 85138403X:0070
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DE CxCEBEVE.
Sinica Teries Primanorum, sive Arichmetice proporrionatium, ut
a, (vel eadem series in x dueta,) ele ad conrenientem seriem s
qualium, uc 2 ad 2. Fadlem Primanorum series in seriem Reli-
duorum D= a (hoc est in seriem A: qualium mulctutam serie se-
Cmndanorum,) nempe aD=- a, est ad seriem Aqualium, uc
Z Z ad F, (IVCUE F ad 4. F idem series Primanorum in Reli-
duorum Ouadeata, hoc est, in D+, =2 a = D = Fat, nempe a D4
2a = DF a, ad seriem sgualium, eA uc Z - = + = ad F, sive
UE F ad5. Fadem primanorum series in Cubos Rehduorum, hoc
CA, In D6 - 3a2 D = + 3aF D= =a, HICMPC ADC =3a D= +3a3 D2
2 - 5 dd E, (IVC WEL
2d8. FE sic dein:eps, (ue hgillacim probabitur ex PFOP. 64.
Arictm. Intu.) Nempe series Primanorum, respectire du-
eta in
Peric, 0. Unic. Resid. Ou: Rehd. Cub: Resid. Piguod. Residuoru, etc.
dac Fa-
tiones e 2. Z ∞ 2, 2 + E = =
HIOC CAt . 3
to
5. Z
4+ Em E + 163 _CC.
_c.
53. Sin hi loci proparibus habeantur, de Hac consrua inter-
polacio pro locis imparibus, (juxca progrestionis analoslam,
prodibic ea quxe seguitur rationum serres. Dempe series Prima-
norum a respectire ducta in
Ceriem o. Recipr: UnITL- VRCR- RCh- VaCub. Ouadr: V: Sursol. Cub.
Nesid. cum. duoruo duoru. Resid. hetid. Retd. Re(Id. ec.
. 2
a.
5
2
aco
54. Adeoque series aV: D=a (nempe series Primanorum
in Radices Ouadraticas Residuorum, ) erir ad seriem A qualium,
hoc elt, ad eoridem D=, uc Y ad 3; (quod etiam superius demon-
Crarimus alias  F2, 23.) EF Periesa D = La in V: D= -a2: (iVC
a N: DC = 3 a D= + 3 at D=La: (nempe series Primanorum in
Teriem Radicum Ouadraricarum Cuborum ex Rehdius D = L a,)
ad seriem Equalium; hoc ett, ad coridem D=, est uEL ad 5. A-
deoque e seriee
D2 V: D2 = a =: ad coridem D2, Crici.
rem uc xad5. Ouod demonstrandum suscepimUS = 20. A -
deoque absolvimus omnia gux ad cenerum graviraris superficiet
ex
dac ea
ciones 0. 2