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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 127v, page id 00068194:0254
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usus signorum ambiguorum
in methodo tangentium seu
calculo differentiali
A punctum fixum
in ABBdirectrice
infinita. CC curva
AB abscissa X
BC ordinata y, seu AD
Quando jam duae abscissae
atque ordinata vicinae sunt
conferendae quod fit in calculo diffe
tangentium differentiali, tunc
A1B sit X, proxima A2B vocari
poterit AB (X). intelligendo
eam sempermajorem priore, et
et (X) - X seu 1BEB, vel iCL
vocetur dx. Verum crescente
AB interdum crescit BC, ut
ona
carva ea vero quae ipsi  respon
det, nem 1B1C vocetur V; et ea
BC quae ipsi (Xr espondet, vocetur (y)
sive (3) sit major sive minor quam y
quorum illud in sinesteriore, hoc in dex
teriore curva figurae contingit.
si jam faciamus dys aequ. (y) - y
posito du (y) - y vocemus dy, nompe
itagus in
L2Cvel biit iu quantitas assecta
signo s
sec
ofirmativoet  X et
simul crescere seu cuB recedente.
ab A, etiam D recedere ab A ut
in figura sinisteriore, tunc (V)  seu
A2D erit major quam y seu
A . d, ergo (y) - y seu dy erit
quantitas affirmativa. Si vero X
A.D sit minor quam AID erit
y) - y seu dy quantitas negativa
Hinc etiam priori casu:
x
C
quantitas affirmativa,  posteriori
negativa. FB intervullum tangentus
vocetur  patet ob triangula similia
TBC CL EC, esse + aequ. dx. seu laequ k y
patas + quoque esse affirmalivam et Tt
versus A, si du
affirma
on) su crntra, samim ad fartes contu aih. as