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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 237, page id 851387705:0257
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Adeogue P d. 8
Frit B0. =
+ -
 st B a BX:: 2. 2V 3
Freo P a. PX: : 2. 3V3 - 2:: 3b. 3b V 3 - 6b.
Taeoque PA. PZ:: T. 2b V 3 - 6b.
Tum, quia P R. A R: : C Y = P X. GF:: b. V: B2 + 1.
:: 3bV 3 -- 6b. 3V 3 - - 6: in V: B2 + T.
Tdeo AP. CF: : F. 3V 3 - 6: in V: B 2 + X.
Freo AP. BY (= BC + CF):: 2. 3V: B2 + 2: pl. 2V 3 =6: in V: b. +2
:: 2. 2V 3 - 3: in V: B +. 7.
Adeoque A P. C0(= B F F GF) : : 2. 9V3 = 9: in V: B + X.
Tum, quia PR. P A: : BX (= P ∞ F PX). XF::
:: b. 2: : 3b Y 3 = 3b. 2Y3 -3.
Firit AP. XF:: T. 2Y 3
Et AP. PD(= 2ZF): : 2. 9Y 3 -6.
Et AP. AD:: F, OV 3 = 5.
Et quia AR. P R: : 50. D0:: V: b2 + 2. B::
:: 9V 3 = 9: in V: B2 = F. 9b Y3 = 9b.
Areo AP. D0: : F, 9bV 3 -9V
Sed est Pa. D:: VCAP. VCAD: : VCT. VC: 9V3 -5.
:: Yc27b3 (= 33). Y0: 24363Y3 - 13563.
FrsO AP. DD:: 2. Vc: 2433 V3 - 23563.
At vero, V c: 243b3 V 3 = 235B: est minus quam
ObY 3 = 0b = V 0: 4374 33 V 3 - 7290b3.
Nam 24313 -235 =4374V 3 - 7290.
B0c est 243 V3 = 4374V 3 - 7155.
hoc est 243 V 3 +7255 =4374. V3.
Boc est 7155 == 4T3F V 3.
hoc est Y 5FT94025 =Y 52Z95483.
Freoe DO minus quam D0.
Adeoque punctum medium inseriprae BC, non est ipsum F punctum, sed aliud
aliquod inter B8 T.
Sed neque medium inseripiae F M, est in puncto C, (sed inter C. _ M:) cum
enim X F minus sit quam L. M, erit _ P. C minus quam C. MI.
Non ilaque vel recta a. C, vel quidem alia illa recta (quippe nulla alia recta tran-
sit per puncta a X.) diameter esse potest ad verticem a
Sed neque (ut videtur) recularis curva; sed quae rectae a. X T C occurrat tum in
cum iterum in X, ee postea inter Z ∞ C, (incidit enim supra T, versus B: et
infra punctum C, versus M:) adeoque rectam aC. saepius secet necesse est. Dua
cum admodum irrecularis videatur, uspote cirea rectam a. C. tortuose incedens, non
videtur operae pretium in illius naturam stuchiosius inquirere.
Iltius autem currx (qualiscunque demum tueric) Sicus cs hujusmodi; Nempe,
Rectae a C occurrens in a, hinc subeusrendit ad ulque  (punetum medium i
Scripia per verricem); cransiens autem rectam in r, deinceps Tupra incedic usque
dum praecerirerit punctum T; cum demum non procul ab illo puncto Y rectam
jam cerrio cransiens, demceps deortum cendic; neque postea vel rectam illam a C
aucinsic usquam, vel etiam diametrum A P. Duo enim arsumento concludic cua de
monstratio, ad punctum C non acinsere curram illam, eodem concludi poterit,
neque ad ullum aliud diametri punctum percingere, nedum ad cam rectae a C. PAr.
tem quae est ulera C.
De aurem id gracis dictum videatur, quod, ab a ad = (punellita medium rectae
per verricem inseripia) curra subrus rendat; tacit demonstracio tua quarca, quae
hoc
D E DLCA FF