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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 16
# Folio 16v, page id 00068229:0032
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Duos invenire Tubos, quorum summa Cubus.
XB X + 3X y + X +(y)Be +3Cy + dey +(Y
X+
ae Pone Xp es fiet e5  e + 3Cy + 2Cy sive
f e He + 3CY + 3 y. sive 5 - 113. 62
Unde  + e + C 1 +
ses
C
Sise yet- 28 ane 8 +3 +E es..
1
sive yp Aes 45d + =B Ponendo 5p2.
1
fier y r E E. Ergo ponendo + p-. fet vp +e
Ergo sumta eB1. erit X p E. B VA L. Quorum abi  1
sive bd Error in calculo
Unde 452 (a3 + 3(). B a
e H E + ey + y
12(3
64
Ergo +C +y  e f 45- D Ergo ponendo 5p2. fiet:
1213
1C + v  E. Et ideo ponenda F p -. fietque y r e
Ergo Sumendo _er F. fiet X p L. et cubus ab Xp, 1. cubus ab yC. 1
Summa cuborum 0. Y cubo ab y + e, nempe p cubo a 0
Sed ut in aliis numeris habeamus solutionem, quaerendus est
cubus, qui ita  ex radix proposita fiat ratio nalis:
alis
nempe: 45 - B 12dl loco 12d pove vlp  24fg+ 9
 pone pu 24fgl )- P fiet: 5N 249
453. 137) lon s pene + 4 1. fiet
Unde fiet
Sed quogim inquisitum ista aeque forte difficile est
ac problema, eeae aliam me hodum ponemus scilicet
spi
eadem
Y sive 5 1 () 2 321 - 1. sed copsicationes
est difficultas. Nihil nic fieri  potest nisi per exflnes 23164
quantilatum, et discerptiones aequationum.
2rV. atel par Ergo 2rv- (+ fr YV Ergo rp, +.
arp -- 2tr. 6rB
ab 1 1 (24 3 (2) 52
acp 52 (3) - 12  nc - b
(ed
19 (17)
X - abu ac  r5 - 64 - 152  409 (409)
summa Numerorum. 409 + 152 +64 p, 625.
6~5
is
es
2
16
705
272
216
122
468
409
40 997
388
728
0540
4096 0
231 04153
194+81
-6-18-1
=2 +10-12
5
a