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# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 1
# Folio 35r, page id 00068125:0069
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instantanen eum. GK. mirum est mentem huma
nam etiam infinito ad suas aestimationes faliciter
uti
LLV) sic nocauit etiam Garilaeus mot
um qui aequa sibus spatiis aequatia velocitatis mom-
menta superaddat, fore instantaneum, seu infinit:
C
Cum
si scilic et à quiete incipiat. QV. hoc a Galilao-
affirmatum, demonstrauit fermatius, in enisto
La
ad Gassendum, quietum ejus operibus, tum illius-
posthumis inserta est. L V. fortusse non ingra-
ta uobis erit demonstratio mea sane breuissima
quae nouam huic scientiae Lucem inferre uidetsur cum
velocitates sint spatiis proportionales, erunt
incrementa velocitatum proportionasia increm-
entis spatiorum sed in omnimoru temporibus ae:
quasiter crescentibus spatiorum seu progressuum
incrementa continua sunt ut uclocitates, ergo ue-
Locitates hoc Loco sunt suis incrementis proportio-
 sunt
nales eproinde progressionis Geomelricae, habem-
us ergotheorema memorabile velocitatibus propor
tione crescentibus, tunc temporibus assumpois pro
gressione Arithmetica seu aequabisi vesocitates (ad
eoquo espatia) fore in progressione Geometrica
jam vero ostendimus pauso ante (num. praecedente)
hanc accelerationis Legem à quiete incipere non posse;
quanquam alioqui impossibisis non sit (BA) pus
Cherrimum est hoc theorema tuum ostenditque Log
arithmos in natura, nam posito velocitatesaequa
Piter crescere secundum spatia, tunc si spatia aut
velocitates sint ut numeri, tempora erunt ut Poga:
Crithimo