Ps. 2, fol. 257
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.81.
Original at the GWLB · Page image · Annotations (IIIF) · Download text
The machine reads it as
- at
- net
- AIC
- ente,
- seri.
- tam
- CUIF.
- tam
- um
- D
- 16
- L L B. IL. C A P. II.
- tujus scaa LOCO X X: Crit b y - a a ∞ vV = 2 a V + a a,
- L 2aV = 2 aa, hoc est, omissisiis, quae le mutuotollunt, erit
- by∞ vr.
- praedic Lhcoreatis leptimi conrertim, ac proinde Locum
- qualicum esse Parabolam. Ad cujus speciticam determinationem
- elto in appolica figura ipsius x inicium immutabile punctum A,
- IInde Ratim apparet, reductam esse aquationem sd Formulam
- intellisatur que eadem x a praedicto puncto A per rectam A P. in-
- detinite le extendere, licque dacus vel assumptus angulus, quem
- comprehendunt y ee x, aequalis angulo AG FI vel FOFI. Dein-
- de, quoniam raequatur x a, producenda est recta A F. versis A
- ulque ad C, ita ut AG SIc ∞a; _ ex C ducenda eAtOII, Faciens
- angulum EGFI vel FOFI dato vel assumpeo angulo aequalem,
- iplaque CHI lumenda eAt pro Parabola diametro, ad quam si per
- ejus verticem C atque latere recto FG ∞ b Parabola describatur.
- ut C D: dico curram CD esse Locum quaelitum.
- Sumptoenim in ea punctourcunque, reluri D, duct aque DF
- ipEiFIO parallela, si eadem D P vocetury, cum GF (ic ∞ x L a
- seur, aeque ex natura Paraboles FCFLrectangulum ∞ quadrato
- ex LIDsireOE, erit byovr, sive, restituro x L a locov, by
- ∞X X. F 2aX + aa, seu by - a 4 ∞ X N F 2 a X. Ouod determi-
- nandum, demonstrandumque crat.
- Ouodsixquatio tuiset by =a A DXX - 2 ax, eadem per omnia
- mutatis mutandis secundum Regulam instiruenda fuistet opera-
- tio, cecidisset que eo calu punctum C inter A e L.
- IE H
- Fodeis
Cite
Ps. 2, fol. 257. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0281?run=74