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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 Infinitorum.
Exemplum in exronum seatiam addam: sit
F18. XXXIX. CUEVA ADF; cujus aequatio
2Y X = X X = yy + X y + Y y + YYS OUXTITUE
QR, SCut, ejus subnOrmaliS.
PoTira equatione, ue supra, nihilo aequalis
CrITZ Y X = X X = gy = X y = ry - py = O, vi-
dere est chanc aequationem non ingredi; quare
ad hanc perrinentes quantitates z, a h, l, nihilo
FIUnE aquales; SOIXqUE, Z GUX X, f quXy
b guX X _y continet, reserrandae; ACtGHC PCFC
(AZ) 99 + (A6) y9
divisione institut l = = (B5) ∞ = (B6)x, unde
loco 2 substicato 2r x  X X, l0cO f. PO.
lito - py - ry. tandem pro biplo- X y, lei-
ratis in singulis addiris signis, Rec, omnibus jux
ta A, B, _C. Subrangentialiter mulciplicatis, ad
277 -- 2 Xy - yy
divisis pecxy, subnormalis l= 27 +r + X
Schol. Hoc solum ac unicum rectare videtur: vx ipta L,
perterminos holce penerales explicara, in curvis peom eeri-
Cispersolam x posser efferris liuxta canonem omnibus cur-
ris convenienrem e unirertalem; unde primo fere incuicus
apparerer in qualiber curra, num juxca praecedentis ceno.
rem poret quadrari; _ an inrer varias, quae Hinc etrasce
rentur, relationum expressiones aliqua reperiretur, qua
expolica cuerae proprietaci conBrueret.
Videbantur haec incet subuormalium inventiones C ap. P.
cractaras sibi locum rehdicare; rerum quoniam currili-
neorum hine oriencium quadracurx primario consideran-
cur, malui hane mechodum huic poriusloco, canquam ci,
quod incendimus, conreniencissimo inserere. Sed ad corrol-
Taria reVCTIOT.
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