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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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CAP. II. Analysis Infinitorums
Coroll. Poliris enim, FIE. XLTIY, B B: X
D: y, sit aequatio currx AD F. ad hyperbolam
rr Fyy = g Xx; crit juxta tansentium metho
grr
dum B7 sen CL = h = IX, qua aequatiO Cx
Presta per y, Cum C F ad y seu C B ordinetur;
crith = rrY Z CLEVX N E A relationem dc(1S-
Ver L yy
nans requatio; cEg. hoc in calu currilincum
BCK A Xquale trilinco hyperbolico BF D A.
36. Sponte hinc nascentem obserrationis loc0
Conchoidum dimensionem adjicere liceat.
Sit FIC. XEV. POIO MI, vertice A, Norma
DC, deseripta Conchois ABC; vocentur-
que AD = O B: Y, DM: S, GD: S, GB: X,
critradio AD seur deseripto quadrante circuli
ATI), appellataque HG: y, conchoidis
Deoprictas, X = F + y; _C, POHta5 = Z = G N
2d CuEraM A NR, Z Fy = x. Onde trilineum
AG N seu omnia z e, una cum trilineo AHC
Icu omnib. je xequatuir omnib. xe scu spatio con-
choidali A GB.
Jam autem, cum omnia je sint ad quadean-
tem circuli inveniendum restat trilineum AGN
SCUOmNIa ZC GUCM II FINCM LUMEA N P Icuf
peo applicata, _ D P seu Z PIO INtETCCPIA,
erit