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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 27
# Folio 6r, page id 00068240:0011
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 5v); this page is its right half.
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1pC
1rC, iW 2ud +4ea 15Ca, +5, 2ed f 4 ca - isca + nx Wdtea 15ca + d
ga. (là l’ a
l
+ at 1W audt rea isca + d+
all à C, 12
20d 4 Ca - 1 5ca
(a
28
19
iu B -
Cn
+
+
1
1+ 2F0
unitates. tractus lductus ad dehominatorem quadra
tum, eo ipso du puunerator in unitates dividetur
In P Dr aW 28, +5 + B,  + W B e + + WB +di + D myg. + Y. + 5 +B, +WB + d
Quod si in aliis quibusdam exemplis rentemus habebimius resulam universalem, qua omnis aequatio
seu intinalis
simplex an integris resolvi possit.
Aequatio autem aliae ere non simplex determinam
de En integtis ante omnia reddenda est simplex seu rationalis.
X + Y ⊓ ab seu smples reddi possit e ab  Hoc fiet si unum quadiatum destruamus, otem
si omnem quantitatem cognitam destruamus. pon X  A+ fie  et V  e+ d. fiet
ex X +y Hab fiet:  A + 2ct +C + e + 2da + d2, ab. ergo si c+ d  ab. habemus quaesitum, jam porro–
ponamus A A E + C. et e A +f. Ergo fiei: v2, 2eE + et + Cd + 2C + f. B ab. Jam ponamus 2ce+ 2df,,0.
+2C. +
 +d. tadf quaelibet numerus in quatuor quadrata
dividi detur, posse eum etiam diculi in duo, quadrata. Si rarsus in locum ipsius X Z ponumus _ +g, et pro W AG+ h.
dipen anic eti
vibi
+c
+3u
liternis id alter
potuistemus ex rg. D. facere
fier. o2 6+ 290 + g + g2+ 2h + tE Y ab. preponamus itm 25 f + 2df 0. seu
de
+ 2b. +reg
+2F. +2f_
nc 1 +2d; 12d
+ et
ace
+2d)
+ A2
f1 - 2cd - 2d. res tamen redibit eodem
nam poni oportebit e rcet+d ab.
si destrnamus a f2df +C erit f Ad
+d Et C+2C+
4d
et X 1
ddeoque denigue
a
in
+ ir
 2vd +4 ea -1Sca, + s, +  bd + Na- 1Sca 1) +
ja ll a
Nempe  7, +
1.
1.
9
W
1. Z. 1. a.
1 18 B3 2
seu
18
19
es rndi qua- 1Ca, +d
a
8+1
2
+t2
+
et
e
1
13
8t
+
sumerum divisibili, semper dividi poste in quada
duot quilibet autem numerus oriam frnctus semper
in aliqua quadratos dividi potest. Nam integer in
a
in finitis aliis modis fieri potest,  es succedat, et si numerus datus nondivi datur in duos quadratos, ut siponamus, dividii in
tres quadratos int tollantur q +e +t- ab p0. fian). Ponenda ejunt praeterea p 2e9 +2g 29 k Dc +ihf +ib d+gdu
ldc faciunt ut credam, quo libet mituero in dacum quanliber quadilatoruer
t