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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 3
# Folio 19r, page id 00068000:0037
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seu
c = XxF yy -
uo
coco
fit
CZZcocd = ttco1d + ( vVZ
tatque vet V sunt prim inter se
Ergo 77 divisibile per coed, et rursus idco perz.
ergo coco = ZZ et fint cZ = lZ3+ vnz 1l
(77 =  + vV et sunt t et Z primintr se, item V et &
dividantur omnes quadrati ordine per C, usque ad eum cupuslatus
est exredit C propi me excedit LC. Si Residnus aliquis
sit duplus quadrati duplicatus vel si duo residui simul sunt
nn sint
divisibiles per C; quaesilum est impossibile. Quodsi hic
hor sit possibile contingat compositum hoc dividi. Residuus sit RIr
C9)+cites rrd+C(+) 2ct) V +) = c2 sint ergo RY  B (1) ( = M seu W+ B nC
vd
D2
rerac
et praetema sit  q+ 2CG, + c∞4() e q
quadratus, ubi re 1) sunt dati + et c et in
et
.Cest + 21 + cY 1(f) H) 9 et m =
M
sit em
2Z. si ja assis G=F+H
i et N= g 5+4 fiat egen Fern + c99+) 2(1)q + m =0
ita cum hoc coanesiente veniretur ad divisibilitate
fla c et 1 () 2Y) ( = ZZ. quae praestari A
superes cCGCB A nerC + rY pstC 0 sed hoc non lacet
C
in si fiat ec s () ap ( + Hrep = cZZ et cecip + 2er + rr  + (+Y)  R
se ccge + 2CY8 +rr = A(Y) ( = (rY)
= p
ccB +r =  W(Y) fint praetela eupr = ec l (A) 2b) C+H
N, C( +Y = A hi- () Matemus tres aequationes pro tubus
 9. 8. 61
n
ubi m, nedati