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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 93v, page id 00068198:0186
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=186
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+AB. CB+ AC) C AB+ CB = AC) = ABC A
AB+ CB+ AC) (AB + CB + AC)
= = (ACqu - (CB. AB) qu.   (AB+ CB a
 ACM
ABA= AC
ACqu
quodsi jam ponamus AC infinitesimalem, et differentiam inter
AB et CB etiam infinitesimalem fiet
ABCA = = AB VC AC qu. = qu E CB - AB)
seu posito AB, Z a et AC, + deo fint ABCA = = Z (deoduo - dzdz)
eu 4Zd
Cet AD, dv.
ABCA = 27 du, quod praevideri poterat
pato lart
 = dβ s erit do: dβ = .
1 99 dβ: C
AB: BV = Z: C. fint ABCA = 2
itaque si mobile moveatur in linea vertiginante
punctum
circa
centrum, erit areaas areae crescent in ratione com-
posita ex duplicata ratiorum, et simplice angulorum
se
sed idem locum habebit, et si variet centrum
seu isi B B sit curva cujus sunt sangentes AB
i ud
porro callia quoque locum habent si
miuetur centrum B nisi quod tunc
ID2C oet 2D3C, non est d7
Nam
tunc e augetur, tum motu mobilis c in
sse regula vel filo tenso BC,
tu
ea Esto ergo dari cerd. id + C 1C1d esse dx
argmento ipsius fili
et id2C esse dy it eaque dari ex X et y. videamu
dy: deei dari
an comminisci aliqud liceat quod motu exhiberi possit
dx = ZaB: C d   dy + do = dZ ytvoh-3
lo
o
fit  7 dβ. C - d7 - dv
EdB.C dβ Z: C fA (dZ- d0) = (De
ad nihit hinc ad constrnctionem inversae tangentium
1
C D: 1D2C
u
1B21 - d0