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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 Infinitorum.
CAP. I.
2T. 2, currarum versus eandem AO FOTCCON-
vexam; adeoque e hos ansulos curracurarum
Tolasnormas existere.
Duo polico, Aguras obiter inspicienti appe
FCF, A reCta ZD F CLIPPONAEUE LANGCTE CuI-
vam aut ci coincidore in rectulâ infinite(ma D F.
proximam huic infinirelunam F s VerluS axem
in B prolongatam, ab eodem abicindere intini
resimam BT; hac quidem differentiâ in utra-
que curra, uc, lo. Vocatis subtangenti primâ
TO: +, tum 9 P: es _ BZ: i. E CUETa AD F
FIC. ZXIII, N. L, SIE vertUS AC
sit subransens secunda B P = F + e + 1; aR F18.
XXIII. IF. 2. Ubi cuera vertuS AO est COn-
vexa, B P = F + C = 1. IILo Tum ec cangenti
=DVOCaTAS, aOD F =+ O F: W, itCM BC: 8, p2-
tet in curra vertus oxem concaVI, FIG. XXIII.
NV.. T, tansentem secunda B F FOEC = 1 5 L W + d;
in altero vero calu, ubi curra vertus arem con
vexa exictit, BF = 5 F 1t =- d
Ex quibus duobus criteriis manifectus con-
sequitur character currarum quacumliber cur-
vaTUCaM, relpectu aXis, quem respiciune.
dionoscendi, modo perspectum habeaus,
num subtansens secunda BP Per t + e + 1
NUM verOPeTF + C =1 in expolita CuEVd sIc de.
pOtatda.
3E
88. 7O