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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 118, page id 85138403X:0134
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Curvarum FodorE.
aC: cujus balis a F aequet semiperipherium pu, (majorem im
erocactas Mere H Contracta;) ducanrur L2, P2 rectae, eilque
ad rectos angulos 2C, 2 c. His aurem Parallelas esse 2 I, E1.
Crcloidum rangentes; ex Torricellio, Schorenio aliisque nocum
eAt. Adeoque (PTOTraCtZ PrOxIma YZ Per DunCta 5, 6, L, 1,)
CruNE Z. L, GC, IP(IS Z5, 2 8, 29ualC5.
Divisa jam, uc prius, C F in parces quortiber aequales in pun-
ctis Y; Positisque CF = D, F Y =Dun d a; erit Y2=
V: a D = a: GuX dICAEUES: _ PFODEeE F Y, ad Y 2, uE Y 2 2d
YC, erit YC =
S
3 adeoque ZC = 1: = +5: = Y + s a
 V: s + aE. Ttem, ut ZC, ad Z C3 SCY Y = A, ad 25 =
AV: 52 + a
Ponamus deinde, e Y = a. Adeoque, PrOPter _ Z F angulum
rectum, ut p X = a, 2d X Z =s; siC YZ, 2d YC = = : _ ZC = V.
e
N
V. s F a. Irem, uc YC2dZC, sic Y Y = A, 2d
EE conlequenter, uc V: s= + a 2: 2d V: s t a: (hoc eA, UFF Z
ad p2;) Sinculx Z5 vel Z. I, ad lingulas 2 8 vel C c. FC, SI sic AaC
ubique, TB ad aliam; CrIC, uE C F B rectangulum ad fguram
sc constructam, sic C I ad curram Cemiereloidis secundariae,
(tVE PTOTTAEX Cire COMTactX;) ee parces parcibus respectire pro.
porcionales.
Facendum incerim est, Figuram, Sic constructam, non magis
quadraturx capacem esse, quam est ellipsis curra capax eodunoras.
Sin libeae paulo adhuc explicacius rem efferre; ponamuS
F p= B, ad eoque a = a + B, e a = a = 2 a Bt BE; Ideoque
PIOPTEES = V: a D = a2:) erit s + a = a D F. 2 a B + B2; &
2Y: 50 + a
a D. L 2 a B + B2
a
EUMEAUTem OmneS a D