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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18B
# Folio 107, page id 00068192:0107
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LMN
 autem vesocitabi-
bus cres cunt actiones, quia cres-
centibus velocitatibus es manente progressionis assumatur aliaseries progressionis, 
Longibu dine tempora decrescunt
per prop Z. Cap de resocitate in
motu aequidistributo e uniformi)
 decrescentibus temporibus ma-
nente Longitudine cui impendun-
tur crescunt actiones (peraxioma
hic)
Prop. b. Lemma
Si duae sint progressiones Geome
tricae simus crescentes; termini
eadem aut
unius erunt in muntiplicatatratio
neberminorum respondentium
alterius.
geometricae progrossiones vel
Pint Series A, B, C, D, C, F: 8 L, M,
NBB, Aio esse A ad B in ratione-
eadem vel
mustipficata L. ad M vel contrat
Nam interposando continue serien
priorem omnes aliae quantitates
homogenea vel abillis parroerrore differente se in eum cadent; itaque
& in seriem priorem ABC cadet
LMA
series posterior , e quidem
intervallis seu Logaribhmorum
differentiis aequasibus quia ipsa.
quoqu.
 Sed majoribus inbervalis;
tum terminiposterioris sunt in musti
plicata ratione derminorum prio
ratio
ris B quidem cinultipLicata est in
ratione inbervassi maioris adminus
seu intervalli seriei uniusad intervalum eriqu
quod in una quaque serie est con-
contru
stans.  termini prioris sunt in ratio,
submuptiplicata terminorum posterioris.
Dic si sint duae Leries simulen
crescentes progressionis Geome-
tricae 1. 4. 26. 64. 83 2. 16. 1218. 102
tunc interpoLabapriore, ub ineam
incidat posterior res ita stabit:
di
64 128 256
513 1024.
quoque  progressionis Geome
Fricce est. Jam si in serie geomedricae
s
10.
.10
Peries comq.. +
t
Logarithm. . . . (0)
Peries prioruum 
Logaritrm.... (0
intervatha.
Series
posterior.
Logarithm...
interraata.
 aut subtanmpercata
igeometolae
eadem aut
+Lad M in omultiplicata
ratione A ad B (quocasu
erit A ad B in submultiplicata
Lad M
indefinite