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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 9
# Folio 1v, page id 00068259:0002
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dusio
appareat usus Tabulae ad sectionem potestatum, condemius aliam Tabulam sestioni propriam
cujus cum priore  paet facilis collatio erit:
+m
(X)2
+m
+ m
(+) N
_mnL
+m (+) 4mn Z
4
=A2mn
+m (+) 5 mn
CDns
=5mn
+m (+)6 mn Z4 = grini
+ 2mn
etc etc
Quod calculo sive literali sive numerico comprobare facile est, exempli causa in surdesolido
(+M+n
+ 5 m n+
+ 10 mn
(4)10 mn
45m (4) 15 m n3
nti Z - + m n
(4)5 m’nd
ubi patet quae infra lineam sunt, iis quae
sunt supra lineam consentire
Eadem in altioribus horum imitatione facili
negotio fien possunt.
Jam si Tabula posterior D. priori  conferatur, patet fore,
P  mn. constanter.
At in potestatibus inparibus quidem, esse
= Y - + M (+)n vel + m (4) n vel +n (4) n etc.
EY B (,  qui vet ) n and
vel u qut etc
M in paribus vero
Ubi quaad signa notandum, si potestates sint pares tunc + semper significare +
quia fr semper aequatur cuidam quadrato.
Si potestates sint impares, tunc
Posito signum (4) esse +. tun etiam signum + erit +. Est autem signum (+) idem
quod +. cum ponimus Z esse lineam AB et M. n. esse lineas AC, CB.
At vero cum Z est alterutra ex partibus, ut AC, tunc t m. n erunt AB. CB.
eritque Z B m = n. peendo arren et (+) erit -. ubi si m sit AB et n sit
CB erit adhuc =r quantitas affirmativa et ut et quantitas Z, et + erit +. At si
ponamus n quantitatem negatam reprasentare totum AB, et m, affirmatam, partem tantum tunc eeo.
r erit quartitas negativa, et 4 erit -. et ipsa Z, radix aequationis, erit falsa seu
nihilo minor.
Writ
ete.
y5 Y + m (4) inn Z (ghrin 4 15m ni
hutc
t)n