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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 145v, page id 00068199:0290
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lego
(va Conica
u
y. = aa + bXX,: aa + CXX
e
yax (Xx dy dx: xX  +s
Sxdu
4.
Xx aayy + CXXyy = a + baaXX. seu fiet XX = a - aayy: c
et fiet: (xxdy = a dy:, cyy - baa quod pendet a qu. Hyp. et
l
 Exxau dx a dye egu bau tx cyu. ban 
3
 XXCH Xxbaa = a aa ydy + cxxydy t Cyyxdx = b baax
(xydx = =XXy = L sxxdy
ydx = 2s Saxdys dx: XX (+ (ax 2Xxy)-
erit error in calculo
(dx i Sxxdus
X)
Caeterum res moretur absolvi
(= y = a +bx + CVB,: n + nD + vD
X)
seu  Z+ vBZ = a
seu + mZ + nZ V F ZVV = a + bv + cop
nv
f.
t
ng+b ∞ +, t2+l  4(2]- nZ + b + on Z- a c. pZ 4 (onZ -
seu vef
C- PZ
a+ bvv + cx
fit
m+ nwe+pV
 V
 c-2
Ergo V = V
() - nZ + b + 4sra Z = a c - pZ 2C - 2 pz + n) - b 2C = p
2C = 2 pZ
Cap+bx st 
Sax sa+bx. sit X = Z fiet dx = 27d3
fiet (aX Sanbs = 2(4Z. Z sat b2 = f su (ZVdZ = Z2V - 5Z2 o
(2
d e
a + ex
x aatexx
A a + bZZ = a v + CZZV sit 22 =, a - AV,:, cv- b. ecv - eb, :, cv- b = e
a+ Cx
a+ C27
9ya e = a - av + ec v - eb : cv - b sit ec = a =0. Ergo fit
ZZ+=
a ab
cv- b
Haec absolvenda, ut appareat, quantum hinc duci possit