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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 71, page id 1032977698:0093
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C AD. T.
k4y
Analysis Infinitorum.
a, e applicata aguatione ad ) C,
FIc SP C yu = kg y ca; quae Pihinc inde di-
k
KCa
3F
vicatur Per P C = 9 y, EeE 5y = 1t = y _
Ouod siCUErA LCD K ad circulum deter-
MInCtE, CrIE G F P E ex innumeris C reloidi-
bus una; cujus adeoque tangens, ee omniuno
currarum amilem orcum habentium hic octendir
tuI.
59. Ouin ec methodi hujus elucidandae gra-
tia, Crcloidis AL M O tansentem Fic. XV L.
ex alia ad semicirculum liypochesi inveltisabi
mus, quod primo in quibuscinque hujuscemo-
di cuerisunivectaliter agrrediemur, LINE AB G
e ALO curra ad cundem axemita relata, ut
ducta P B F axi normali, habeat C B curris in-
tecceptae ad curram AB rationem CemPer CaN-
dem, ut p2dg.
SIE LF: Z, BF: Y. UndC BL: Z = y, RF: t,
TE: B, KB _ YL respectiraS CUEVAS tanSANE,
sitque B F tansenti X B normalis, F P: l. tum
B F: r. XC CurVa AB: 6.
InFiniTeSIME F D: BP: L N: C, CP: A3 BC: H,
M N: 1.
Brit primO r: y.: C: a, Unde A= 1: FIM