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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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Analysis Insinitorum.
C aP. 13
66. Et Facta suppositione generaliori, p: 9::
Z: c erithae redacta ad infinitesimaS, 5ZI
=kca duxe comparata, cum aequatione omni-
bus hisce curris communi, (vide Praegres.) + fy a
LBCZ
=BZZ W, dabict = sys; unde mediante aqua-
tione relationem exprimente c Poresttolli, e
perrectas exprimi.
67. Ouod A F F G ad circulum determinetur.
exit AB CD ex Spiralibus quaedam, ip Pague O K
ex natura circuli infinita, adcoe f = h; ut ex
ob candem rationem y = rradio; quarchocca-
ECZ
(NF =
5Y.
Aliarum Spiralium tangentes, cum post haec
nihil difficultatis habeant, transilio.
68. Ouia aurem occurrunt quandoque cur-
vae, quae tum ad determinarum aliquod pun-
ctum, timul ec ad lincam velur axem reteruntur;
unde suppositae infiniresima quodammodo intri-
cari ridentur, pramittam his in casibus generale
lemmaticum.
Sint in frguris appositis rIX, N0. I. QXIX. IO. 2.
Cuera AFIR, mediantibus rectis B A_CBII, 99
punctum B; ec opc parallelarum AD ex HI L ad
axem BD relata; sIC B F ipsi B Anormalis, _
MtanSaC curram; vocenturque AB: Z, BD: X
2