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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 113, page id 85138403X:0129
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Et HNanouds
rvaneur, quo supra, ab ipsa Parabola, Semicubicalis. Si enim in-
telligatur A D P Ag. 25. Paraboloides Biguadraricalis, vel Bi-
cubicalis, Nc, adeoque dP, uE Ve d L, ve d L, ec; erir de,
ut d v dE, d se d~, 8c, hoc est, uc 1
1E 860
Eubuiseaes autem eas capaces, (ne gratis dictum videatur) paucis
oltendemus. Ponamus aurem (quia generarim agendum cst) n
numerum porestacum quemris, _ n =n t L, i = n n C, _ 5 = Z. d
et = 2 i. LO AUCeM CUrVa rectiticanda AO (A0. 28, Vel26)
Parabola vel paraboloides quaris quae ica constieuatur uE do
vel AE BC P = Vm du L, adeoque A d vel cO, d = Vn
em
C VnPLi PONaMUS IIE (quO FaCtIONES VIFCNEUT) UE v
adm, siC K ad Z. Invenierur, eodem processu ouo nuper, Fc. 36
(propcer d A ad dF, Fire CS ad E A, ut n ad m: quod universalicer
demonstravimus ad prop. 23, 46, 49. C on. Sect.) cE, ad00 vel Oc, uE
XC ad V: K2 + Is pZI: Adeoque, sI PONAEUF A9, 28. AH  R,
_ EK V: X~+ VS pFI: EEIC AE T A K rectangulum, ad
T A Xx quadrilineu; SC Fecta A T, Ad A O CUEVAM. AC-
que hoc quidem universalicer, sive (E n numerus par, sire imPat,
sire cciam Fractus.
Duocies aurem n est numerus Pars crilineum R _ S, (adeo-
que T A Rn quadrilineum,) quadrari posse (adeoque e AO
rectiticari) sic octendimus.
POnamuS K s quorlibet aequaliter crescentes, quae sigillatim
dicantur a (quarum maxima (iC 1:) quibus respondenne roridem
sn crilineum x s complentes. LA aUTem a (= EK = A H)
 V: R. + SspFI: nn K; adeoque a +R = V: R + Is pFI:
ECa F 2 a K + K= = K 2 + V5 pLI; _ a t Z AR = Vs pLI
Cujus aequationis ueraque pars mulciplicata se cundum exigenciam
POrectatis s, dat S: ad F 2 a K: = p LI: adeoque
a + 2 a R.
P= AF= SH, Gux omnes complenE H u s crilinium: quod
AEaque (quancacunque sicporeltus S numero incegro delignanda)
quadrari POTCTIE. L18O ∞7C.
CPIE