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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 212r, page id 00068195:0423
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Matkematicis probleum
Unicum
venire tres quadratus (entoamen
duorum quorum libet intervulla
ls
XA L qLAGL
st quadratus, et intervallum la Dzannam loge au fauxbouius S. Germam
terum ex duobus quibuscunque sit eti u derte ans cher un
quadu A.
Si nemo dabie solutione . sterru quie nict aotior
abitur Patisis solutio in suburtio spncti Germani i tu
9v b. 4
Trouver trois nombres quarrez; de oe
et 1. b v0
ruls
a. b. c. de telle vorte, que la difference l
entre deux de quelle maniere qu’on le prenne, il rara
inu
.lG  2
16.
un chacun, soubstrage d’un autre comme a = 1b = ee Rg a b = C1
a de b. et a de c. etu laisse (6uo
tousjours un nombre qui soit aussi
quarre, per consequent:  dento
tellement que  omn b minus a
4 1
et C minus a. et C minus b, soit nombres
quarrez; . Etqu’outrea, les
quarrées
11+
racines Y, dey s ces trois differences, ou
Residus estant prises comme
Rq C = ayaRg. C= b, Rg b- a.
les differences entre ces trois racines
R9. C- a, X R9 c - b. Iem
ccteut daee.
mava. Dhaquad
di
a a + 1 uingantu horum Dta 1
Zattaat 2 a +I summa quadretur
aaa t 4a+1. + 4aaax13 aaa + +aaa seu
utat taa + 1haaaut quaana
aa lib. 8.
Quadrata
V+ +d. at b+c
in
Jam saa Habemus a t ait. at a. seu 2a +
2a424  2da F2a+. Et quadratum
tertii erit aequole quadgato duorum priorum
seu  sec differentia inter quaedratur
ut ergo dra luntermin A
qada a
Lda +20
14. C b + RB=a. Item RgC. a F R,  a. Za + 1. t ajo vorum is
soient derectes nombres quarree
aa bb ee
aoa
vadratorum diffe
rentiam ese quadratum, (radiais aatad
Nunc quieriter certius C.
vonaara tnaaa iona + 4. + 1, dd qut + d
 Tria quadrata. Radtiu a a et tivtc.
adi a
aa, actitbb +. Zba 2. aatib +CharCC 2BCa
sua ptrotii a
e n. 
Herentio eltoni 
inter primum et secundum bb + Eba. Inter decundum etatentium cc. + 2 ca Y 2bC vtac no
inter primum et dertium aa bb + Zb ast cc + _ca f 2b cd Ri aua primur
hebume
autem istre differentiae sint ta necesse est sist, eas componda ex duBbus numeri si pi
planis similibus e∞ ut pt ta componitur .Ex 1b 5 + 2ba et dei duo ida
ergo termini nebent habere latera proportionalia uu  m mibna
scilicet  Ct ) BB + 2ba debet esse = fg. eto fucht =
tobi BN eBB
e
b+ 2ba = f = duout a bb+ 2dq - (d) d.  dbFEba _ nd egg dd ee
18)buie
degq nognt ceun
go g- e. Erposd = F. hrg. de de = Ex pe consequlus bb + 2b a est Gradiatum.
BiBeoe
RBCII
LiANnOrENANM
mpun
LICBE
Et B. 90d
secundo sit
totuiaqulo