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# Title: Methodus Figurarum Lineis Rectis & Curvis Comprehensarum Quadraturas Determinandi (shelfmarks Leibn. Marg. 135, Stück 1; Leibn. Marg. 135)
# Folio 17, page id 1025220307:0023
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1025220307&page=23
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A5 = r, unde ex natura Erperbolae rr L y V
= Z2, adeoque Z = Vrr F y y extrahendo radi.
cem Ouadraticam exrr J Vy erit Z =
2Y
B7i
-_c. Ouarenda ergo est Curra AHI in
qua (Ic P I = Z =- r +
2 Y
8 ri
as
e procedendo per Prob. primum invenietur illam
detiniri hac aequatione nry. +
M
r
= X, e determinando, n, m, l, k, per Prob. secun-
dum, erie n = 2, m = 2 l = =, k = =, CubstitEIS
his valoribus erit aequacio ad Curram guxlicam plene
determinata 2r7. +
Que erie --- ry 
= ASC HI.
+ γ
ZY 2Or3
6Y 40r
56 p5
= X, 2dco-
CNAC
Ex hac Ayperbolae Ouadratura Facile est Zonx
IEperbolica Onadraturam decerminare. Sint FDA,
GCB Eyperbolx Oppolita, quarum cen.
ErUI I X VerticeS A, B, ZOna ABCD
Fi8. 12.
cujus laticudo RL = V, Semiaxis eran(versus A H,
vel I B = r, unde per peaecedentem Ouadraturam
LC