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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 18
# Folio 14v, page id 00068231:0028
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in
qua eae quae sunt homogeneae semper eodem modo
tractantur
licebit reducere, ad simplicissimam
et si non habeant hus praecise fimas licebit
solutionem. ad eas reducere componendo aequationes 
si omnes sint homogenet, et ita omnes eodem
modo tractentur, ad huc res facilior est semper
enim revocabitur simpliciter ad rectangula,
exempli gratia sint tres aquationes
a + b+ C aqua l
a +b+ C irgo m a +btcaeg. n.
qui quae aequatio non assurgit ultra cubum, nam sunt
nes tantum radices
a. b. c Modus autem
reducendi patet ex Tabulis alibi calculatis quia
omnes aliae potentiae per sola rectam aut formae per
sola rectangula exprimi possunt
si sit X aequ a + b+ c+ d et ponatur X esse radix
aequationis quinti gradis, necesse est a habere quinque radic
viginti radices.
erit aequatio
ubi notandum debere evanescere omnes terminos,
eo
praeter V. v
10
20
d
+ a D, ab v
(a
cb7
1s
ero
eu
22
V v. v, posito Vestea velbveleveld vel (a) vel (b) et
et quidem V evanescere manifestum est enum summa radicum aequationis,
at summa rectans uilorum horum viginti quodmodo evanescere
ostendenus, et trirecragulorum, et quadri rectangulorum etc. et
Quidem summa omnim rectangui lorum ex 20. est simma 
omposita ex rectagalis diversorum, seu ex facto a + b +c+ d
in (a) + (b) + (9 7(d)
et similia quae summa simur
aequatur nihilo quantitati cognitae secundi termini
praeter hanc fit super est, summae omnum rectangulori
aat