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# Title: [Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ (shelfmark Leibn. Marg. 149)
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X2
Analysis Infinitorum.
CAP. TI.
Gc: C auta; indererminatam propriam, quam
componit, Verb: Gr: x aucy, ingceditur) sum-
eam (quarum infinitesimalium infinitam Cum-
mam simplicicee voce omnium denocamus in
Ccg9:) Equari indererminatxe maximae Porectati
prexime superiori ac divilx peF CUUM exPOnOn.
rem: Sic omnta X X 6 = Z ~3 OmNia Z. 3 1 = 1Z 4
_c.
Demonstratio eadem est, ac praecedenris co-
rollarii.
23. Ttinc seguens produit maximae utilieatis
in calculo infinicesimali theorema, nulli, quan
tum mihi constar, adlruc animadvertum.
Sit exposita quaelibet quantitas aut aequatio.
indeterminatas quascunque, quae per infinitesi-
mascrescunt aut decrescure, continens; caque
redigatme ad InFHIFESIMAS MOrC IAMI EXPIUS
Ostento; dico omnes terminos infunitesimales
intinities, juxta leges s. PrxcCd. TUIIEOS Cx CO-
dem expotitae quantiratis termino oriundos (qui-
nam aurem illi sine, sequens docebie scholium.)
Ips termino unde originem Cumserune, Fan-
quam ralori absoluro, perperim aequiri; et c
Converso. Si hic valor absolurus indeterminatE
aC maximus; in infiniresimalium vero infurita
serie continuo per infinicesimarum applicario-
nem mutatus incellisaTUIE.
Demonttratio duobus in calibus ablolvitur:
2, CI