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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 154r, page id 00068194:0307
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volobus
1677
Invenire duos cubot quorum differentia sit
Cuberis.
+ b+ 3bC + 3bC + C....... + cubus de b+c
- b2
= 3bC - 3bC + C - cub. de b-c
aequ 40
fet: 6b + 2c aequ d’e, seu b aequ. d’∞ - 2C.
X
6 b3
seu  age  6b aqu 16 d - 12
unde patet si vel  seme praestari possit problema, seu si vel unus cubus
 de
viar.
um exboritu
possit esse differentia duorum, elisem et antum ergo in veniri debefnma
manet arbiliaria quantitas.
6d3- 12 aequ. quadrato seumdatm aequ 36 seu da 2aeqube
Equam daequ. 6C +2 sit mud aequo F. fief.
623 12 f 
hoc statum procedose vido
2 in integris seu 6e aequ s94+ 1f
pendo d aequ. 2. fiet enim d’aequ8
Ergo
et 6d3 ag 48. et 48 - 12 aequ 36.
sed ita res non procedit
b feu 16d - 12 erit aequ. 6. ergo b aequ. 1.
opus alio exemplo. Quorum vel unum sufficiet
Elegantissime autem argumsntum hoc tractabitur per intersectionnem duatur
pexp
Elut lincarimus Nam repraesentetur series omnium 642= 12, posito
iteu repraesentetur senes omnim
quadratorum videaturus quande concurrant ubi cuciter concurrere possint
d esse 1. 2. 3. 4. 5. 6. etc.
liae series  et quoties Quid cognosci potest ex genere flexus cinece
A.t
investigatione langentium seu differentiarum. Cum duae lineo se secant
angens et quae erit extra alteram nunc est
intra eam tangens ejus quoque cum antea
tra  alteram, B esset nunc est intra
abeam et contra alioqui tangens ipsius a
esset quoque tangens ipsius, b unde
quoq duae lineae se tangent.
non secabunt contra hypothes
cumergo, curva secans aliam secet
et ejus langentem, hinc facile deteum
naripotest, quousue series una extra
abiam cavat
i
e in paucisimis, 
Eer
03.
3
216