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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 260, page id 175906937X:0284
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=284
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# Lines: 38 recognised, mean confidence 0.87
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260
F L B H. C U R Y A R U M
linea Parabolica existat; sed quod nulla camen quaestio.
ni lacistaciens describi possit, cum propolitx quantica-
ces, co, uc pecitur, modo, conjungi nequeant.
Ad demonstrationem autem eorum, quae supra dicta lune, su-
matur in curra FD punctum urcunque, reluri D, duct aque DF
ip(i F C parallela, qua protracta secet rectam C B in B, OCCUr-
racque diametro C C in C, SI D E YOCetUIE y, Cum FB Peu AO
sIE∞C, _ BC ∞ =, erit tOFAD C ∞ y - Lc. F =, hoc CA, Z.
Cumque ex natura Parabola quadratum ex D C DFC+ C rectar-
Sulo, erir quoque ex antedictis ZZ ∞ d v. Ac proinde substituris
aurrectirurisy Fc L loc0Z, itemque +b in locum ipsius
d, _ ablaris quae proxrer aequalitarem se invicem tollune, ordi-
natisque omnibus, ut decet, erit py p 26 a
c6. Ouod decerminandum, demonstrandum que erat.
Sin autem aequatio fuisset py- 2b 
a
bbXX
=66.
factâ assumprione secundum Regulam acque operatione uri de-
cec, ad eaudem aequationem perrentum fuisset; sed quoniam 
juxca assumptionem eo calu taciendam Fuisset xqualis y ---= -6.
idcirco quoque suppolitis, ut ante, recta C B non intra sed supra
rectam A P., uE de C C non intra sed supra eandem CB ducenda
fuisset, cxeceraque omnia eodem quo supra modo fuinent expe-
diendo.
Si vero xquatio (itby - 6677 =6C ∞ ~ X + = bY = = 2 6∞, Gu 2
a d
est conversa luperius expolita, astumpro juxta Regulam v∞
X +  = C, CrIEK ∞ V = -c. Unde substitmto hoc valore in
locum ipliusx, ejuldemque quadrato locoxx, expunetisqueiis,
quae se inricem tollune, acque omnibus rire ordinatis, superior
aequatio sequenei Form a induta erit = y - = by D vV, auE (AI lOCO
2bC + b substicuatur d.) d y ∞ vV. Id quod rursus arguit aquatio-
nem propolitam reductam esse ad Formulam praedicti Theorema-
is. VEIconrersim, ac proinde L. ocum quaelirum esse Parab olaM.
e