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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 91v, page id 00068200:0184
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pro bema anei bomio apud schoten P. 317. succedaneum pappiano
5 a
Datie Ili ABC. minore latere AB differentia segmentorum basi
EC, et invenie differentiam latrum FC
AB- a. a- AB = a + FC. BD SAD Adb
no +BD AD+ b
fiet. A a
= a + FG
V AD+b, AD + AB+ b, AD + b
fiet: a = a + FC. Ergo
Y AD
sAD +b
_ FC
seu a + 2a FC + FC = AD + b
a
AE
Ie Y+ 2a +FC, CFC = A +. b
AV
Ergo FC FC ha et poine a + raFC, FC ba
LA + PC = GC. c
EC
b
AD
AD.   - BD. et FC= BC- a. quni BC = BD+ DC
et DC = AD + b ~ = AD 2 + b + 2 AD b. Ego.
BC = s BD + AD + 6 + 2 A D B
FC =
.
- a
et pro Ad substituendo ejus valorem, fiet:
FC = s AY + a - RD + b  + 2b Y A - 8Y
lam FCa BC- a. un a - a + FC. Ergo
ergo
a
392
= b.  + 2ba Y
1B3d ADF b
= a + b + 26 Sa - Bpr
a - B9)
fiet.
fiet à-
2az. 7a
2
a - BC
a
ptectaau
a Nrubsa i
BD AD+b AP + b
sro BD2
2a7 qu
en
a= BDV
ex sa- BD iet a - Z
= a + b + 2ba - 26Z
a =raz + Z2 4 2 Z
a+ 12
2b = a
a=- 2a 2+2 a- Z a7 + az
fier a + ba
a
a + a-2
+ a +b u + 2ba + 2b - 2
a - 2a7+32 a- q  R aZ
2
fit a + ba + a +6 +2b a + 2b = a 
a- Za. Z
a - Z
Jam posito a -7 = y fiet:
Ra
a + ba, a +b +2ba + 2b = a
a -y
fiet a +ba + ayt by t abay 2by = ay
a-
a Lag-ay 6y 260g- 2b93
Fas
seu
2b
positoque y =   e a- 1.
fiee  ponatur oga by a
b