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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 64r, page id 00068200:0129
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ut Martii 1679.
Longitudo curvae
illipticae
VItax aequ. y.
est figum hujqus
ordinata repr figurae
cuc elementa curvae Elliptilae
N - 6X2
repraesentatetis
irgo
1+ aX
s ax
1- bXV
y dx
mu
 
1+ ax B y - b xy. seu s HX
a- by
2
0+2ax dx H 2y dy - 2b Xy dy - 2bx y dx
Ergo X dus  ax dx - ydy _+bxy dx
b Xy
nota datur x dus.
ergo per centra
gravitatis, ex data circuli quadratura
Ergo datur ax dx . dys + y dx a
b2s
es
N.
ex quadratura circuli. Ergo ad habendum
ydc tantum Enquiriur
Eodem modo datur do
hodem modo
a
 Z ax
B
jax py py ay - Abx y dya
2
L
XV
Ergo et sist dx datur ex quadratura circuli
ergo datur et:
adu = bxdu - a ax
bx +
dus  vitar Si- bx
1 - bx V
64
aqu.
si duetiu
datur seu
dy -bx dys  .
t
datur ergo hioeF...
dantur ingula aliune.
ritax Vibo
Quod non moru quia