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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 7
# Folio 24v, page id 00068160:0048
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verum hoc non licet in problemale deteminalae, nisi cum
Caqua luc quae loci communes sint, se tangunt. Et hic certe
hubemur instituere hanedifferentialem. An non it illud
quoque satis euincit stutim non posse rem prodedere, quia
s
in effectus d eon  cos = n - 91 est de
quod co sipru  dd Unde sit co dp: p = pap
An ergo sic licebit scrbere
ervatis incomparabilibus
22 P ap + ap: p + ap dp=  dap. (ubi hoc saltem
B
un c
Ncimen est non meglecto  seu dax in valire ipsius y.
quod hoc modo prodit +dap cm alius esset tantum 2dap,
14 4
2 a
et reducendo ep ap+ a  ap = picat
patet homogeren esse 2a pn et et 4 p) dax nas ob 
et du  comparibales infinile parras, sit sunt  et pdax eliam
comparibiles ut constat Ergo vilissim etiam  dp et pap dap
sunt comparabiles
quad si non consiseranda quod
 eq sunt ut reciproce ut pe, instituissermus
caleculum differentialem selceam a vocemus c, fiet
dC = n - q. seu (d-2c dc + de (C)- prapaa
dp77 2  Ep ddp = adp2 sen- 2cdc = 4 dp dap. Esto
am quia c = Ba: p fiet de = a andp apan: p
Ergo jam ergo - 2cdc = E+  2a  dp + 2a p B dB: p3  dpdop
ubi tamen si ponamus pr esse constantes, et dpr  redegnt priora
et fit ut aute a e : p3 = 2 dap. Unde sequitur.
rep esse reciproce tubis a p poportionales, quod comen
absurdum est cum possint sumi pro arbitrro
L
duutance
Arisore non licec hoc casu sumene
7900008
delegere possim causa errois n pro
sit P2C = 1000000000000 et 1c12- 150000
+C2G =1 2C19 64C1 00  008. 090.
P2C22  1000000
C29 8000000. unde caetem determinantur, nempe
ec Q = 7 X 2C.q 4 cerg -1 X 3C32 =
12
eC.8 1B 4000, 000= 2C19 300000, 1C2G = 1. Ergo
X
B. C
2CM seu 2G19= 3000000-gErgu 2 C3C = 5000000. Juq differnita inter
 jam n = B a 9 b-  p+ p9: b substituntur in aequ.  p
 et nn =b bb = 2p = pq + p +2p9 + p29. b jam ide ex alia aeq.
4 C,412
e qpb2 + Co2b2 = co p : p b. Erg fit Pb - 26b -pqb +
pi(2+ Co b- co p2
3