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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 26
# Folio 7r, page id 00068071:0013
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068071&page=13
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(CX + 11XX+ PXFB
1a+ HX t 13 XX F13X
10+2, 161
1 et Ex + MXX +
13X
10
t
AIX +10
+2.10.  tE. 101 t 21011XB
ex(m + Am)- Imamnt 2 sn
(2 (e Im + np) mnp +2 lmnp
El  r5 + Slmnp) = erss Hlmnp +Er5 Amnp
ergo oportet esse rrss+ lmup=rrlm +ssup. Eo jam res redit
renfiet se = rrlm Immp,: rr np ut Y et s habeantur
latana
rationaliter _ 55= en q In (rr- np) e: (rr- np) Ergo vel
erit S5= lm vel rr- np quod est contra intentum
Et praevideri polerat non posse aequari r5  Ctunp, et rilm +5 sup, quia
e
F una est Ambigua duorum, altera qualilor casuum
XX (X alXX + ~C) = y. yxax pendet ab  xx dy
X + AbXX 1  aabb = gyXx
X + ab XX + ac = 0 seu X + ab XX +  aa bb + =y - Labyu = = aabli+  y
c
yu
XY + abXX+aC, : XX = yy
= L abgu= aC seu XX +  ab - =yy - ((e - 2abyy + aa bb)
aC
Ergo datur (dx V tabxx +aC) posito dari (dy s(y- rabyu +aabb
e
a
=gaC
L + ab XX) 4 aC = (X + abXX + aabb + 2aXXZ + el aabZe +qyaa
a
Cportionis fmra
Quando quadratura aliqua reducitur ad quachaturama simlli
ut eo casu, quo partes figurae comparari
interdum possunt inter se, ut in circulo et hyperbila, et ellipsi
ita prodirent aequationes quadratoria.
rbZ + CC =  AR ci + 2CZB + 7Z on fit Z + b = 2CV + ZVY
=2CV
ov- 1
dq A(22+ b7 + CC, 2) = s dze. C+ 20, M