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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 212v, page id 00068198:0424
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primae, quod sreret, si assumerentur partes tales
suminatione sia responiderent differentia terem
iffer Habemauis equationem datara differentialem 1. et deductam inde
ent
ce
valorem
quantita
ntialemHinc si assumamque sifferentralem constantem
differentius
C
de opus est tantum hanc differentiando, differentiam obtinere
secundam aquarem nirlo. quam pe
cum diferentet at s quae est nova
ee
eicutratis.
ua
C4e
jungendo
differentiondis
Hane alrdagendo cum ptriore diferentio
ferentrali oporcet inde formari Ereco differentio.
e
e
differentialem tractabilem, qua ita
ut summari possit
quoniam autem in hac summatar dus occurset de
poterimus
dam tollere, quia datur djus valoe. Et cla
nova aequatioue differentialis primi gradus.
summatio different libera a de quam coiungendo imae
habebitur
na
abetutur equatio puia a differentialibus libera. Et nota si
ummatui pro habenda aequatione Cta est absoluta sine quadra–
turis supposit, o curva qua sita est algebraica; sin minus
eut fransiendens.
it de = ex pia, dy:ax; adaxaxcp
e
dammamnx
dy: dx = _ ZX: a; giaC
ddy: dax = X: a. agidx; addxidxdx (1
e
nnangsu
in differentiali fit
sit ded delx
x
mijus differentiatis dabit
A
quod si oxe duorum valores dagidt
nem
D
ddy: ddX = X: a; dy: ax; a dax: dxax 39
cyex
seu datur
adar. axa
x
a
sed in eu difficullas, prsistat simnl tolli xiae, et actex. dx
tocrjungendo sarum posset tolli X, lieret. ay. ex
formuta taecta ext dis ipsiast aicx muliiplicata per p.
1.