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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 30
# Folio 16r, page id 00067992:0031
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# Lines: 51 recognised, mean confidence 0.87
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fieri
ipsum numerum m posse aequalem erse numero a
d et ex amfiet aa; unde jam nascitur Poten,
tra eodem in se multiplicato
Habent autem potentiae suor oradus nempe si a
1
multiplices per a fit aa seu a seu quadratum
si aa rursus multiplices per afit aaa seu a3 seu cubys.
sabula potentiatum: a est unitas a seua est
latque seuquantitas. a e quadratum. a3 cubus. at biqua
dratum. as surde solidum primum. ab (seu a 2. 3) quadrato cubus. a bissurdesotidu
Curdesolidum secundut
oriuntur differentiae differentiarum seu ddy potentiam cujus exponens est numerus, primitiv,s su
cldas
smo dantur et differentia tertiae et ita porro supra 3) a8 seu a L. 2. 2 Friquadratum, a seu a2 3bicubus.
q athica
alosen a2. 5 quadrati surdesolidum. nsur desoliau tertiu
+2.2. 3 biquadrati cubus sic
3.33. seu 427 epit trituibus Et
et a seu a erit o bisurdesolidum, et qs seu ab. SS prit trisurdesolidum Et inurversum deno–
C
a
12sed
Quemadmiodum totentiae nascuntur ex ductis nvice
equalibus, ita si diversae literae vel notae simpli–
ces ducantur, oriuntur quae vocare licet rectan,
gula quonia in bieometria a b seu multiplicatio
a per b repraesentatur optime p rectanoulum
planum; et ab0 seu multiplicatio a per b et
1
producti rarsus perc, res sentatur per reu
annon
isa
smo etsi in Geometria dentur nisi tres dimensio,
nes tamen inrerum natura dantur plures; sint
enim duo rectanoula solida abc et lmn, prius
exauro posterius ex aroento et pondus auri ad
pondui aroenti sit ut d ad p; paret pondur
rectanouli solidi prioris, ad pondui rectanguli
solidi porterioris fore ut a bcd ad lm np;
adeoque etsi spatia non sint nisi triu dimensionum
surdebisolidum seu
ser
Fa surdetrisolidum
um
mihationes
signant
resolutionem
exponentis
in suos primi
tibos