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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 132r, page id 00068199:0263
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 133v); this page is its right half.
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# Lines: 69 recognised, mean confidence 0.73
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quaentur curva, cujus equalio tangentialis sit
ac-aady + xx dx + yydy = 0
tiat
siat (6X + Cy + exx + fgy+ 8
O Axxh
Sit= S ( X +) Y+ m
quid si loco huji summae scrrbumus ex
Q= βX +7 y +m
a
sta
curmabiles
et fialaa b + ab X acx + acy + fXx + gxyt hyy + ((al Xtamy + aan) 
sit Z-
e =a C + au DsdZ: Z et , aa dO Z + aa  aa D dZ + aa dD sdz: Z = 0
unde caa dO_DZ + aa DD dZ + aa d D. 3saZ Z
= aa D dD
aab + acx + acqe+ fxx Fxu + hgu 4
vw + 8s =0
posito v, W, Z  esse
simplices rationales
per X et 
ZVdd +  Zuedo - vuodZ + gd + d s 20
Z seu ZVdue t quoda- veodz + Z gdZ + Z2dg fd Z. Z (0
22
fiet
un C Aliter  + gc +vB+ po sexb
fiet A A Zt do + Zuat + 8 due+  Guaque + ( dio + 10 dZ) saz. Z
Aliter b0∞ L08+ ZW fdZ -0 t ∞ D +hZa 5dZ = 0
+ tvdc + + de+ Opdt tahdzue + ahdZue sdze (2)
2
V + vasdZ0 fiet tdo avat + Wdque + tdv
tv +  sd2: Z
= (1)0 et et du + Zvdt + hdz =0
 (+
(iet a Z  d  + hvZ dZue 
s
0
e
a
2+b
2
2
et ut 2dx rZ dv c. I 
d
DZ
v+C do
seu fiet a VZ d 8- aGVdZ + hZ7 dv + h vZ dz
v2
+ & + aS
L2)
= 0
do + vdZ G
Zdg-9dzue Lhae
a
52
= 0
seu a sit a +h = f fiot f0Z (d9+ d2) - a vdZ + hZ7 dv = 0
si  v - ex + Vy C (-Z - DX + Ay+ c = nX + Hy + 9 27 = 8Dxx + Nyy
F2D1Xy
sit v. = 3Z + Vyt  8 = A2+ ny+4 fit do = βdZ + BHy et ses- Ad3 + n dy
do = βdx + Vdy dZ = Ddx+ du de = ndxF _ dy
fiet ( f37Z AdZ + fyyZ NdZue +C+ re Adz + f22Zu dy + fy yz udy + riidy
=+ f 3771Z + 5) yzdZ + rZdZ - a β42Z - a)) ay99 (3 (2 +) 1) 23  ST AZ d -  myaZ - 9 d
e
DE
(3dz-9)ydq.
e hg2BaZ + l72 dis
sed vdeo it non tolli-
fβ( + hi )  - ay- )