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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)
# Folio 79, page id 1032977698:0101
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C AP. I.
Analysis Infinitorum.
rut illa ex ipsis x, r, eg (quarum non nili dux
per aquationes inrentas detiniri pontunt) arbi
traria remanlerit.
POITet jam eadem hxC quaestio ruruS muTaV Facie
provonis ac ex daticum currae, cum crianguli proprierare
punctum concactus murui investisari; quae eamen, ve
e alia huc spectancia, cum prioribus incellectis nullam
tere disticulearem (unico casu excepto, ubi exreris daris
CuErX nacura quaritur) habeane, hic praecermicrimus.
Cum aurem non incer rectas tancum ee curras, verum
ec inter dUaS CUEVAS, aUE PIUTES, CONEACTUS MUEVUS POMIE
celebrari, licet hoc problema per communem ac omnes
curras eodem sui puncto tangentem rectam exisuo Paris
labore efticiatur; rem fortan erronibus urilem praecticissé
videbor, si quo pacto ex cradira mechodi generali loge
eRectum dari porsir, paucis demonstrarero; cxceris spe-
culacionibus, quae hinc orisinem ducere ponune, in 10-
cum commodiarem relesacis.)
75. SitergO FIZ. XXI. HIO. L, CUEVA ADF
data, ec in ea punctum D. Oportet ei ducere
Currani ZD F tangentEM.
Relumantur symbola ordinaria, tatque
A
EH: a, D F: u, Lubransens Z 9: t. Quapropter;
Si curra exposita AD F Lic circulus, cuins X qua-
tiO 2r X = X X = y y, ac debeat duci cx Par2bO-
lis quadam ZD F, circulum parte sui conrexd
cansenS; Cc iptius aequatiot + =Ky; crirredac-
ea utraque ad infinitesimas
re =X0
 a
220
et xquatio ad tansentem determinatatr- kX = 21y
Qua