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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 167r, page id 00068195:0333
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CX N X, YX s. LA  AB, CZ
Notabilis haec solutio, ob
CB5 ABY
por
DY FIAB+ rCE
X R et
V Xa.
item 2X 27
VE
X
FX ASyY
es. 25 2
2sA
ex
ubi minime didebatur
sum im Methodi de
maximis et Minimis, necessarum
VNDXa, Y SXE = XE
ap
A
sve XSyY
XC. 1Z
X+ XC
X x.
X5ESZ
22
D
e 50
7
seu
sZr  ZY + + XEr
 Ser B 2+ X+ rtC
s unde XE 2 +  + XC F Z+X+ X
e
er
unde tanden XC p 47X
 - ∞6 Y yX + XY + XEF
Attera aequalio est: XC + AE  Xa, inde XE 
lide XE FL 
 Ergo 1ZX H X a 
sive 47 + Y, a. sive Z ( a - Y
In parabola distantiam
2
q
a vertice in axe sumtam,
Thcorcma est memorabile, abscissum Riametri aequari secundariae primaritu aequari, quarta
parti excessus  latu rectius praris superes latus rectum sisecundarm Unde
consequitur seuper latus rectum primarium secundario quolibet mus
esse
lentandus est calculus generalis, pro omnibus sectionibus conicis. Ac primum consta generaliter
in omni sectione Conica, quis sit valor ipsius LB, vel etiam ipsius BH si ponatur CH perperi
dicularis ad curvam in C. Nam ostensum saepius si CB5 2 24 (∞Y)S 44
esse BH A s si CB(d 2bZ + b ∞ esse BH p, b + b 7.
r1 
sive
Eodem modo in omni sectione conica  CX ⊓ LBH
v
posita C.  X erit FX, x +b ZX
unds fiet: posites X EAC 1 2b2 qt
6r e + 2b17C+
F
B)
VE A bXC +b Z XE
u
forro YE + EB, 1 e AB(), C+ (2)+X
Ad
b4
5n02
 A+gt +bg0 + 2be 4. 2l. ge p 2b2+ 2bX + 2be 4 12 f2bysa tit  BX,
32+  ac demius im Chiplicat omnibus per 267 + 6Ze, et destunctis utrinque:  . . . . (F 2bxC +be
jam YE + XC fet lod Etx a 2X + 22=+ X, 2Z + Z (quod in Parabuladaret e B +X
ponatur jam
in et ZX  Prax FaBx ponatur. Ergo.  b + 2bt2 + C
1242
 i  f a 2  .
a
Ders
acqu