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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 8
# Folio 5v, page id 00068161:0010
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pansm quovis spatii loco sisolam ficctionis ac glutinosotentis resita
ttiam consideres, aequalis vis impenditur, ergo aequalis etiam Corpori solie
celeritas decedit, sit enim celeritas ejus c. erit potentia essus Acc sit
refenitas in tupstata tA ee, ergo potentiia resi dua
potentia jam perditu
ACC- Aec. et potentia amissa, et celeritas residua secfec. et si
hoc saepius factum, celeritas resictua erit Cc- X ee posito spptium 
Et celeritates amitfendas esse sise posito temp
ut saque seu ut sy. seu ut ordinatae parabolae, et seu crescent fluidum retar et quatenus fluidum ambiens nonnihil retardatur, ipsum  solidum ab
decursum esse X
residuum spatium usque ad quietem esse y. si jam recipioea celeritur
ut au applicentur spatiis y. habebuntur tempora, ergo tempora erunt.
sye
revocemi rem etiam ad calculum in  progressione celeritt lacurrenti, dum frictionem fluidi contra solidi latera, aut partium fluidi inter se,
procedent spatia cempora i subduplicata ratione spatiorum, vel spatuo in duplicat
ratime temporum. prosus t motu accelenato
ex priori capite, nemne, cum potentias inn fluidum trausseatas. 
elerita corporis A sit
6
diximus esse celeritatibus proponti onales
ejus linerementa aequalia ax. Celeritas corpori
A est c. translata in corpus d. sit dc. Ergo potentia amissa erit
spatiam sit X
dec seu  residua  acc - scc. Ergo celeritas
secunda vice cleritas in corpus aliud
aa
prion aequale et simile transtatu eris dc sc da. itaque sic celevitos
a
residua s erit C Si-
aae
a
posterior fit ex postertue multiplicata per 1- 
Ergo cascent
procedent in progressione eometrica, nam exemplicans secunda cele
potentia morisla e Y1- d. ergo potentia d ce a otum sunt momentanci sed darant aliquandiu, eaque carum duratio revera potest esse aequabilis
secunda vice, celeritas transtata in d. priori aequalis est d sud
a
a
la
 aa
residua a ce 1=4 = d CC 1- d quae divisa per a dabit
aa
a
extrahendo demo fudicem quadratum prodisbit C , - 4.
ar
pe
 h e
in progressionetoometrica seu ise vocando
celentas prima relidua c, secunda  residua he tertia h
quabta hde et ita porso in infinitum itaque spatiis crescentibus
Arilhmelice lelpo deescent celeritates puredent e eometrice
temporum quae snt patiis eciproca pierementa quae sunt cteritat bi
ad spatia applicatis reciproca. Ergo et temporum summae. etaque
si spatiu sint progressionis Ariehuslice tempore ex hoc capite
resestentiae fenidi erunt progresionit Geometricae, ut pat aut
asserueramus