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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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C AP. I.
Analysis Infinitorum.
angulum EBC rectum, cum in triansulis
DETI _ FD similibus elt. s: v:: u: a urde
Et =
a
y, Itemt: γ:: e: a. WndC a =  1.
sa in CUEVAYL P CAFH: IZL:: 6P: 6I, Peu
b: 1: : 2: e = 1, Wndche = hI = + a = y C; CX quI-
bus tandem aequationibus, elisis infinitelunis,
551
DTICTUE, UETUPEA, 5=. 51 4 9b.
Schol. Acque hac gnidem occasione in speculationem
quandam circa currarum AexuS _ curvacuras insperaco di-
labimur; qua cum a vereribus, cum eriam + recentioribus
Machemacicis incer primarias licet habita, nunquam ta-
men, quantum mihi constat, hoc fonce derirata, hac
Talcem rarione tractara fuir: qua levisacisnesorio, ee ma-
eisforsan directe, quam exracticum aequalicare, Cx cujs
liber curre equatione coonitâ dipnoscitur curva specialis
indoles, ipsiusque rertus axem aur quamlibet exposicam re-
cam concaricas aur convexicas, ium es punctum, side
cur, Rexusconcrarii.
87. Sit FIZ. XXIIT. BT. T_E2. CUIrVA ADF,
DatEE ex IIS, quxe LOmM. 23, _C. demonstrala
lUINE, OMNES CHIEVAS Ex TanSeNTIUI FD, B F POI-
rionibus infiniresimis D F, P s Componi, qua
ansulos in E eHOrmant, unde clorum latis est,
si modo dicti a tangentibus crormati anguli
DFA concarum suum vertuS axem AO COn
VECEAHE, CUEVaI vertUS AO FOrO COnCaVaM,
FIC. XXIII, TTO, 2. S vero apicem suUm aXI
AQobrertant recensiti anguli, uti Fis: XXIII.