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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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Curvarum EvdovoS.
Exempli graria. Si S = 2 (quadeatum desIgnanS) adeoque n
431= 3, _ K = Z L: erip S:  + 2a K: a +qa X+qa X
Adeoque Trilineum ad circumleripeum Parallelogrommum; ue
+ A + 4A R
d
1
+4a = K2
3L2 3 ad AT = NEDLF; sive, uE
5a+ +6 K + Z A= K, ad L V DZ
Si 5 = 3, acleoque n = 6, 8 i = 5, e R = Z L: FrIC S: a
+ 2 a R: = a F 6 a R + 12 at R= + 8 at K: Adeoque Trili-
neum ad circum (criprum P’aralleloorammum ut ZA + A2 K+ = 2
K. + 2∞K, 1dL V D L0. FE in reliquis similicer.
Sin n= 2, ddeoque cum S, cum 1, = 1, Poceltatem primam
delienans, mulciplicacione opus non erir; (cum ipsa quaneitas ex-
Polca, ejusque porellus prima rancundem func:, lune icaque om-
nes p (Erilineum complentes,) omnibus a= F 2 a R sigilLitim
Proporcionales, hoc elt, uc guadrata ordinacim applicaarum in hy-
Perbola; live, uc ipEx rectae (diamerro parallela) in complemento
crunci parabolici, (quod nempe cum ipsocrunco complet cir-
cum scripcum parallelogrammum,) quae quidem rectae, quadracis
dedimtim- applicacarum in hyperbola lune proporciomiles.
Locies vero neltnumerus impar: adeoq; snumero inceoro no
assienabilis: Pr0 S: a + 2 a K.
=p. Eiltendum eric in V. a2 + 2a K
p GuX Casu, LICCE R _ S quadraTUEX Capax nOn (IC, adeo-
que nec A O ivdvioras: II tamen Conoides, illius corvertone
circa H S, magnicudinis noca; adeoque _ complanari porerie
superticies curra conoidis quae recta A O cirea A D describi-
cur. Sed non & exinde, proprerean
exhibebitur etiam sermi-
superticiei C. onoidica inomencum respectu axis. Ouocies vero n
CiLMUIMETUS PAT; POterunE ea ommia extiberi. Acque dehis hacte.
nuS.
Denique, uc rorum hoc de Paraboloidibus negorium simul e
semel absolvam. Siennumerus quilibet, m= n + X, i= n - X
srque Z == 2 a, Qn = 2 i: delienet aurem ipsius n ad m respC-
etus, quora poceltas diamerri quocx ordinatim applicatx poreslaci
PEOPOr.