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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 9
# Folio 8r, page id 00068104:0015
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Lex Homogeneorum in Carculo
efit ilti Analysi infiniti
sit ordinaria quantitas V, repraesentans (si
placet) rectam,  quanquam sub ea etiam
tempus aut velocitatem aut quidvis aliud
ascendendo
intelligere liceat. Habemus dinde infini
tam, infinities infinitam infinities infini–
teries infinitam et ita porro. Rursus
ab ordinaria descendendo habemus infinitesim
infinitesimae infinitesimam infinitesimae ab
infinitesima infinetisam et ita porro.
dddx) dox ( ax ) X) saSXS
2
X
X
ut in vulgari Lege Homogeneorum
X
_ IX) X
X3 X
Expenentes qradus tam in valgari quam iu Transcen.
dem ne nomogene
=21 e
rum ptum
seu
3
X IX IX IX) X 1X
Arithmes
Ut vero expolientes graduum sunt progressionio qc
metricae in vulgari lege, ita et in nostra nova Transcendet
Nam X dox et dx sunt p homogenea; quia
d Xdx = X ddx + dx. ergo cum ipsius X exponens
sit unitas si ipsius ax exponens sit e, utique patet
et ipsius dex sit f, siet C+1 = 2C
6
fieri
eodemue modo  Ex ddax et ddx sunt homogenea, adeoque
expositarum Affectionum exponentes sunt progressionis
Aritumeticae. Porro quemadmodum differentia.
progrossimus