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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 311, page id 175906937X:0335
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L + B. TI. C A P. IV
honc vel versusillam partem pro diverla termini dx affectio-
ne, ut supra estnoratum, describenda est: Ac poltremis qui-
dem iltis quinque calibus jam explicatis Parameter erit ad d
coenitam, licuc A B ad A MI, hoc CA, crit ut A M ad AB, ica d
ad Parametrum.
Duorum quidem omnium demonstratio pertacilis est. In-
celligantur enim Parabolae praedictis diametris ac paramerris
descripea, qua per annotatos verrices cranseunt, licque ordi-
nacim ad ealdem diametros applicatarum aliqua in rectaO F
uccunque sumpta, de supponatur ealdem Parabolas praedictano.
applicacam lecare in F. puncto: eritque primo cau, Cu parS
diametri AB incer vercicem A e quamlibet ad candem dia-
metrum applicatam intercepta, reluri A B, ConcipiaEUE, UE X,
2c. lingulae illa applicatae, uc y; sirque Parameter D d, aEque
ex natura Parabola rectansulum lub dicta P’arametro _ rC. 1 per F prii
4. Cta AB concentum sit ∞ B P quadrato: crit d x ∞ y y.
rit Bujus.
Secundo calu, ubi verrex est in puncto F cum eriplici distin-
ctione, ut supra monicum est, nocandum primo venic, in casi-
bus, ubi aequatio eA ry ∞ d x Bff. punctum B in linca F B ab
A versus B indetinire sumi posse: cum ictis casibus ab A versiIs
B Parabolam describendam esse (UPra anNOTATUIM SIE; AEVerO
calu, ubi aequatio est yy ∞ff - dx, cum juxca Regulam Pa-
rabola in contrariam parrem ab F versus A sic describenda,
punctum B non nili incer F de A allumendum esle. id quod
etiam ex ipta aequatione manifeltum est. Quoniam enim in.
prxdicta aequatione ry ∞ff - d x live quodidem eAt ff- yy ∞
dx, cerminus ffmaior est quam dx, uepote eundem excedens
quantitate yy; idcirco quoque li utrinque dirisio hac per d,
majus erir quam x. Ouare cum secundum Regulam = X-
quetur rectae AF, de x p rectae AB, erit similiter recta AF
major quam AB; ideoque B punctum inter A e F puncta.
licuc dictum est, cadec. id quod ad casus quoque sequentes ap-
plicatum esto. Porro quoniam A F est ∞7, erit F B (hoc CAt,
obserratâ criplici distinctione, ut praedictum elt, AB B AF,
AEque etiam AF = AB) aequalis x 8 F, atque criam , - X;
Caque musciplicata per parametrum d, fuc rectangulum dx Bff3.
atque