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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 16
# Folio 20v, page id 00068229:0040
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Mathematicis problemarcuicum
Invenre tres Numeros quorum summa quadratus et summa
quadratorum ab ipsis quadrato- quadratus
c
CH1. VH 2. Eut Pp =. ( p - 2. Jam ex his ita posetrs videamus an
veri sit aequatio 39. erroris calculi mature vitandi causa
16 p - 2, 4 + 1  + 1 8 - d
1 8 +.
5
u
(2-4) -2
40 4 16 0-25) su 117 +8 + 4 29
255
(42) -4  (Y 24+:) +L F1 + 1
q
1+ 7
+2 + 2
11 (18+162-7, (2 1)) 1  
5
is
5) ex
e
(ed (6) (+d) 2(42 13
-4 + 2 41 +1 no.
12 213, 4 +2214 1213 1 213
B8 mat e 12472
EpL 2cpI - 2 cp Z pone RN  QH EC
2C + p
Unde
v
21+2
2c p 
a 2ctC
.unde M
-
l
1 2cq + p9-
-21
2C +p
t
v
P g+p2; 2v+ l 4 2cl = 2  22c9+ ql + p
0c -
Cp  2C1 + pY. Eut PH
2CY ut fier:
rer an 20 1, +2c2 1 + 2cl + 2Ir-  2VY yo.
Ei
13
fiei ep + ep , soc 2cpl+ CP rerp
ver
C + p Pone l- 4.  2C+
Y
C = Y
pone 2YY - f1Y
21+2
70 fei fl + e nY B.
f1
ult2
on quando aequatio per aliquam formula dividi potest in arbitrio nostro est
quam ex formulis velimus pare aquatione; divisorem an quo trentem.
si poniuus E. = P tunc dividi omnia possunt per 2C + p. possumus
2c 1
ergo ponere +2C p. Erit