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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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P R A F A Y FO.
minores dirisibilicarem, quas cum aliis insinitest-
mas vocito, Algorichmum hilce speciatim conve-
niencem ac proprium exhibeo. Inde maximista-
tim ulus consectarium ex carum mulriplicatione
procedie, infinitesimam scilicet per infinitesimam mul-
tiplicatam nihilo aequivalere: qua Porro curris ap-
plicata, tandem L. em. 26. EE27. ipsas omnes ex re-
etulis insinicesimis componi, adeoque es curvilinea esse
infinitorum laterum polycona (quod a mulris antetrac
adtumcum Fuerat) ex praemissis crincunt. Tum
Post hujus Theorematis L. Cm. 33. demonstratio-
nem, in trianculois osceli, basin habenti infinite par-
vam, angulos ad basin  rectos e aequales esse; Len.
42. ∞ 42. inter eas lineas discrimen ostendo, qua
tanquam infinitesimX, adeoque quantitatis adhuC
nacuram ac enentiam serrances, aliasque qua ni-
hilo aequales in calculo contiderandae lunc. Ouod
quanci momenei suc diagnolticum, illi norine,
quibus Analy sis infinitorum tamiliaris est, ac li-
cer ad calculi securitatem omnino reguiratUI.
num antea quispiam octenderit, ignoro.
Subnexo denique lemmatibus hisce generali
Seholio infinitesimarum naturam quoctammodo
Ellustro; unde NY. XFI. _C. Theorema quoddam
piodie, cujus ope carum currarum cansentes.
quarum parametri indeterminatx lunt, ad ordina-
rias curras reducuntur, hinc ex maximi ec minimi
dererminacio methodo, ni tallor, nora pertici
TUI.
Cap. I. Pangentium ducendarum metho-
dum exhibeo, Barovianaque demonstrationem.
pliarumque insimut, quae eodem cum ipla fun-
da-