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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 16
# Folio 23r, page id 00068229:0045
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3608(3) u. III
19 (12) .... H
Tres Numeros invenire ita ut duorum grorumlibet
resu inoy (5) N calii Z
, C  1) (9) 
 e rmalldi
 not (11) Numerust.
(6) Imicclitii
a (7) Ergo Z
Disferentiae summleque vint quadrati.
2al -X 7 d
sive explicana, X, et Z, p R. 9.
d- f v - f2+ 217014
aequandus quadrato a
et quia-f alus
ideo ex 15, fiet.
it 14
Pmamus Intelligamus: 1dB stE
fiet ex aeg. 16.
∞7-c (e res+s
ep +5 +c
d.7
(4+25171 5CCC . pr122
a AI
 Quadrato. Postulatur ergo ut
duorum quatratorum differentia
aequetur quadrato, quod quadratum
ideo fingere peterius a differentiae
per summatue
vel summe laterum
fier dividendo.)
1154  1
 38
2IV ChH 4
CM (39) 
 S+lest 12
2I 25(  L 2B
Conamus veri co + 2col + V, et ex
aq. 23, fier.
2+ 12 (+ C 3 rcol  s 
C5,  rrcol  1)
_ sed ista nondum ad exitum perducunt)
igend aeidi preo s naeratum
Quadratum arbitrarium Aequationis 21,
fingamus a latere. 5l25+C +
f42 C= 12A, 28C, C
 5412504C
sits et
gan S. Siet opaequa.
Fr. 7 (7 Quor L. s (00)
qLe
s 1 f21251
et divisis omnibus per fifiet
eersigi
31
SI  fier:
S Spyse + 
Destruendo itrobiqus
inde laggudem  S4
 laserear
Possemus nunc jungere utramque aequa
tionem 25 et 132. haberetur
vel 29. et 32 compositam ex
illis aequationem licebit exequi
 aequatio conferenda enim erunt
duo quadrata arbitraria inter se
Alis sed haec prolixiora, et 
aliter supponi utituus
Resumta aeq. 21. ponamus:
iiflita ansere os lsic
H f C + 2sc
B SerisB
u e 4(1 e
S 45  1y (2
2fe
Et multiplicmodo omnia dividendo
 fier:
(52 + hsc ret 
prf. CZ+ set
qu, sive:
Sa B  1- 1fC + C4
in numeris sed nova prodibit
Ergo (1) +7
(70) Egpo C r 54 euit F