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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 9
# Folio - , page id 00067968:0101
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et duarum linearum in quibus
parameter b vel aliu consans
sit variabilis intersectio quaeratur
(d evenit difficultatis
aliquid
cum scilicet matura ineae expri
mitur per summationem, cui
emedium quaeramqu.
sit
adx ita quaeritur
a+ bX
duarum linearum intersectio, ha
posito parametrum in una esse a,
in altera a+da. siet altera
aequatio (a a + da dx l212
a + da + bx
=  +a tad
uas duas aequationes conjungendo
si et
2ada =
ardadr adx
andatbx arbx
et seu ((atbX dadx  adxda
=ada
son popto da constantam esse
a + bx bda sxax
adeoque statim ab initro potu
sa
aequationem hancq derivane ex aeg. 1.
differtuliando secundum a. Et ruisus
differentiando. siet p et faciendo
dda =0 fiet bX dx1 da quem valore
A+ bX (+etquq
substituendo in q. 4. fer
bx ax: arbx = abqdx
a+b
quam differentiando tandem habebitae
b
Atd eoque tandem ex aeq. 1 et 7 habelutur alaia
curbae ex tatiu rlineare ocursu formata