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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)
# Folio 113, page id 826605435:0133
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826605435&page=133
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.81
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

Et HnaNOuOS.
rIVANEUE, quo supra, ab ipsa Parabola, Semicubicalis: Si enim in-
celligatur A P P A5. 25. Paraboloides Biquadraricalis, vel Bi-
cubicalis, ec, adeoque d P, ut V d L, V dF, Vc; eric de,
AE d N+ dL, d ~e dP, 8sC, hoc CAt, uE 1   =8c.
EvDuioscs autem eas capaces, (ne pratis dictum videatur) paucis
Octendeus. POnaMUS autem (quia generacim agendum eA) n
numerum porectacum quemvis, et n =n F I, i =n = 1, C s= = 1. e
et = 2 1. Lto aucem curva rectiticanda AO (A8. 28. Vel 30:)
parabola vel paraboloides queris gux ita contITuaEuE UE d0
vel AE CC p = Im dn L, adeoque Ad vel cO, d= Vn
Dnt
E
B, VAPLio POnAUS IceM (quO FactiOnes ViCeneUF) uE n
adm, (IC K ad L. TnVeHICEUT, eodem PrOceNu quOnupeF, H8. 36
(proprer d A ad dE. Eire ES adE A, uc n ad m; quod univertaliter
demonstrarimus ad prOP. 23. 46. 49. C on. Sect.) CF, ad00 vel Oc, UE
X ad V: R~ + Vs pLI: Adeoque, (I DONACUEHB. 28. AR = K,
_ CK= V: K L F VS pLI: FNIE VE Y AB rectangulum, ad
T A Kx quadrilineum; sc recta AT, ad A O curVAM. AF-
que hoc quidem univer saliter, sire sIE n numerUS PAP, SIve IMPAT,
sive cciam Fractus.
Quocies aurem n est numerus par; crilineum R n s, (adeo.
que IA Rx quadrilineum,) quadrari posse (adeoque e AO
rectificari) Sic octendimus.
Ponamus R s quorlibet aequalicer crescentes, quae sigillicim
dICAREUE a (QUATUI MAxIIA SE A:) quibus respondeant coridem
SX erilinen K X S ComplenteS. FR AUTeM a (= CK = A H)
V: K F SspCi: = XC; adeoque a t X = V: X a + 15. p LI:
FEa =2a X + R  = R + As PFI; _ a + 2 a X = V5 pL13
Cujus aequationis ucraque parsmulciplicara secundum exigentiam
S: a2 + 2 a R:
Porestatis 5, dat S: a F2 a K: = P Li: 2d eoque
= p= AE= SK, quae omnes complene R u s crilinium: quod
itaque (quancacunque SEPOresAS. S’numero integro delignanda)
quadesri POrCTIF. L18O CFC0
LxCHI