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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 19
# Folio 1v, page id 00068212:0002
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in eo tamen laudandus omnino est quod desiderat
Calculum infinitesimalem muniri demonstrationibus rigorosis
dadum a 2
ut scrupulis satisfiat, eamque operam a me  impetrasset facilo
si nluet os expo ue juvare quam rejicere
as et male faudatis et dubitationes, et dubitationes quam capti
culas proponere maluisset si non app obctiorbus quibusdam
dntis aeperuissate nee eare pefectiere nisi ex argutationibus
passim inspersit animus alieniur apparuisset alienior ab eorum
consuetudine, qui veritatem  magis quam
plausum et nomen quaerunt. At
Mihi aliquoties propositum fuit, rigorosis demonstrationibus
firmare calculi nostri fundamenta, et subinde inun fon jam tum
indicavi fantes eo ut animo, ut cui otium sit, occupare hanc
consilio
operam possit. Nondum tamen vidi qui fecent. Nam quod
doctissimus fermanuus coepit agere in scripto contra du–
Nieudentitium pro me edito absolutum nondum esst.
qm Matheu
Est autem mihi praeter calculum, infinite simalem usurpa
ta etiam in Prysicis methodus, q q opecinime olim illustrata
in Novellis Reipublicae literariar; et utrumque complector
Lege continuitatis. a qua ostendi adhibita ostendi Claris.
simorum vir philosoplorum Cartesii et Matebrandhii
diversas inter se, Regulas motus secur pugnare secum ipsi
proposito quocunque
Assumo autem hoc postulatum. aiet i omnituan
tran situ continuo d aliquem Terminum desinente, liceat
ratiocinationem ita instituere, qua cum terminis ceter
communem instituere, qua ultimus terminus comprehendatur
Exempli gr. si duo sunt A et b, et manente B, contin
illud majus hoc minus, et manente B, ponatur continue
diminui A, donec aequalia fiant A et B, licebit ratiocinatione
communi complecti tum casum priores, quibus A erat major
quam casum ultimum quo evanescente differentia A et B
pis si duo corpora
fiunt aequales. Similiter  A s et B sint in
sibi concurrant, ponaturque manente motu eodem ipsius B
6
contiaue imminui velocitatem ipsius A, donec omnino evanescat
en nulla fiat aat ipsius A celeritat, licebit casum hunc
eum casu motus ipsius B, ana ratiocinatione complecti
idem facimus in Geometria, tam casum  duae rectae sunt