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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 114, page id 826605435:0134
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Curvarum EudovoS,
Exempli gratia. Si S= 2 (quadratum delignans) adeoque n
431 = 3, _ XC = 3 L: erit
S: a + 2 a K: at +4a K+4a X
Adeoque Trilineum ad circumseriprum ParalIelOSTAMMUM; nE
EA + 4D K, 4A Z X:
5L
4I.2
3F2 3 dd AY = VDF ~; Sive, UE
5 D+ +O K +4 A K ad L VEDY
Ei 5 = 3, adeoaue n == 6, _ i = 5, _ R = E, F: FrIE S: a
=2 a K:  a + 6 a K + F2 at K + 8 a K: Aceoque Trili-
neuum ad circumscripeum Parallelosremmum ut Z ∞  + a E K + 2 Z
D+R~ + 2O K, ad L V D L0. EC in reliquis similicer.
Sin n 2, adCoque EuM S, tum i, = 1, Porellarem primam
delionans, mulciplicatione OpuS HON CrEC; (cum ipsa quanties ex-
Polica, ejusque poceltas prima tancundem lunc:; sunt icaque om-
nes p Cerilineum complentes,) omnibus a2 F2 a R Eigill cim
Proporcionales, hoc est, ur cuadraca ordinacim-applicatarum in hy-
Perbola; live, uc ipsxe recta (diameero parallela) in complemeMO
trunci parabolici, (quod nempe cum ipsocrunco complet cir
cum scriptum paralteloorammum,) quae quidem rectae, quadratis
ordintim axplicacarum in hyperbola sunc provorcionoles.
QOries reron eltnumerus impar: adeoq; sHIeTO INtCGTO nO
d: a + 2 a
asTignabilis: PrO
=p=. QIX casiI, liCCE R x s quadratuTX capax nOn (IC, adeo.
que ec A O seduisccos: FH camen Conoides, iltius converlione
circa R s, maenicudinis norx; adeoque ec complanari Porerie
superficies curra conoidis quae recta AO circa AD describi-
tur. Sed non e exinde, proprerca, exhibebicur etiam semi-
Supernerer C. Onoidicx momentum respectu axis. Ouories vero 
eit mumerus parS Forerum ea omnia extriberi. Aeque de his hacte
nuS.
Denique, ut corum hoc de paraboloidibus negorium simul &
semel absolvam. Sie nnumerus quilibet, m= n FX, i= n- X,
SEque Z = 2 X, _ 1 = 2 1: delionet aurem ipsius n ad m resDe-
Ctus, cuora xoreltas dinmeeri quocxe ordinacim applICAEX POrel acE
PTOPOF