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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 80, page id 1032977698:0102
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80
nalysis Infinitorum.
C AP. L.
quae cum alia aequatione FE= k y combinata,
v
dabit post debitam reductionem, t r- x ei hac
cognita lacus rectum varabolX k
r.7.
76. Onod si expetarur: Parabola parre cui con-
cara circulUMI FANSCNS, FIC. X XI, N. 2, _
ejus aequatio et n py; quae cum aequatione cir-
culi redacta ad infinitelinaS Crit: 2 r e - 2 X e
ke; Unde latuS FeCtuM k  2r = 2 X ejulque
IntCFCCPTA Z 9 sen SubFArigerS quaTITA + = 2r 27
77. Manente AD F circulo, et suppoTid
TDE extiyperbolis aliqua, sic hujus aequatio.
EFF +khFhyY Cmerget exutriusque curvae
requatione ad infinitesimas redacta, re =X e
pa; tUM 2 eF C + khe=: 2 hya; unde 2 hr
2hX = 2 kF + khiqua aequatio cum tr, perbo-
lx reguatione debite tractara dabit tnm= TUBS
tangenrem, scu hyperbola interceoram; tuni
hauc e alterum exhryperbola lareribus, altero
ranente indeterminato. Onde paser circulum
innumeris hyperbolis uno in Loco cansi posc.
SedhXCCUHCIANE.
Schol. Lsures quidem in praecedencibus intinicesimasad
tribuimus; sed in singutis curris, non niti eas, quo
1c. Z XL1L, 10. 1 Ma DEHI conttiuun; cum
aurem hisce non coerceatur haec methodus, sed et alix
ac plures in calculum decuei queane, qua candem cum
modo recentiris curvam spectane; nimirum ducta praerer
aII.