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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 16
# Folio 28r, page id 00068229:0055
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068229&page=55
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invenire tres nugueros, ita
ut duorum quorumvis qua
dratorum differentia sit quadratus. sint numeria
ps
XX - yy = aum
yGLL= nN = a XX- ZE= pp
Z+22 =nn
1y
-
seu 55+ 250 + 22Z = mm
.
fint sobit
00 - 28V, : 27 = nn = vV, : 20
fiet auc Z= mm-ec
=
= nn: V.
pecopraeera ∞_ +0o(+ZZ) + 280+28Z+20E
nn
(Z2= pn seu Wi ZFmm = pp
seu mmi  -Y =V = nn: V (V
y m xt V fiet Xx Xx. sit. XC ge E+ V et y = v + Z
53 + 25yfyy- yy= nn
vV +2V
seu mmibu
y nimdb
ex XX-yy = mn et gy=) -nn fit. XX R
quod fandae
olvi potest, assigna
assau nendo ellitu Vataem int ps sC sidi finbmmanu  hat+NH
seu v
praeterea n su
eum
et rumnn = pP
sit p=nser ent nin 2mn A a= (mat nn seu in= S ut- St,: 21
u
BL seo p= amn I
superest ergo mm: E -E = nn: V 4a seu mmo-EEV = nnE + PoV
aral a
sit M= Ep +  et AC  p + V fiet Lpp + pe t ee Y qpp+ pVis
sit m = nE: a fint n MMZ: da-
seu
ada
C
+vaa
= nn:V + V seu nMEC- Cuna = nnaa
=(n n+ v0) aa: (n- aa) V- mana: ne ande solutio generalissima
q sunt integri primi inter se, sequitur se
lam summas ductum quam differentias dare quadratas. Adeoque
s
invenire tres numeros, ia
ubi quoties X,
diffferentia ductum quor anivis, et quadratorum 
simul solvetur problema
Tenerulis Methodus per utilis ut rdbremus solvamus
quarlasqus simulicius, in quod caedis propositum, unde hoccas
xcerpi
Mnc propoe cusus casuam sevic casus praepositi problematis poterunt
vorunivis sit