# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0592 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0592?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 296v, page id 00068201:0592 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 297r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=592 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000592.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 100 lines, status machine # Lines: 100 recognised, mean confidence 0.73 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. oelie oiretu eucris a se LaK FX +qu (14) 2fX +X + x F(+)+ +X + 4aX (+) (14) af 7 + 4aX .. . . . . . 8afX A( (+) aas (+) (14) af g+ utrac oris ega ra- F. A 195 N. po fponatur 9. fa +9 a4 ( B9 votra 9at ga + F q s seu aetsa + itt sc a 4= a +ega + gal. 8 +C +2at + 4fX (DFtF Ordinataque aquatione, nier: (+4a a. Ytra Hat Frac (1) +4 as N +4 ea l. Unde:D = Z+) 27+k (33 )h. get v7. .18 DC.dC AEse sreph 1t papti Caps fit6 tentandum a trevror sit via, si X etiminetur, V. retineatur, est enim e+ (a X = Z4) h. sqs Lpre X pruomo =. 743C et (7(i7, oli Z. C Z ati Dh+ h (is proftrae g.g +tea fied trac. (B) no L2 = a H- a) qui i.c Th 13ch Crh () 25h +sh2 ( +) 25 - X y (+) (+ +) hye = e sed ipsa equatum) hujus forma satis ostendit remo eodem odir aca v 3 pernis X =t erit X = L eut X - Z ad et X. Ha et X = 174 tit Divident sam omnes aequatio tis tmipi decuso primo per a + 2a + 1 N. p Ponatur jam X = Z= ganque aequatio pro pinima seu perpendicalari sid sectionum Conicam ducendam cujus radix y. huc transc ai ptad antelliu calur, et ponatur e =Z. Jamque cum duae habeantur aequationes jusoenifonne cigdem. Rardcs (ternimi Nspondents Sigillatui sili aequabuntir. Et primum et aequetur teriaus secudus secundo, fiet: 6a +4a + 2a + (+) (1+) aad (+) (1 +) 4g 2F 7 + (+ +9 + a (1 +) 9, 2d 1F fa + 29 + +a + +a (= 1+) 449 + (+ 1f) 4ag, + 8a + saq f (+ + +) 8a g(=, +) 8gaq factaque multiplicatione per crucemerit, + 4aq + 4a9 ( + f) 4a9q + (+ 1 7) 499 +) + 2adh (1 +) 2d9h Ergo 9- 4X +12a + 1249 + a a9 + (+ +) 2adh (+ =)) 2d9h2 ++) 4a f(+ + f 134 (+ + F) 12a9 + (+ + +) 4a9 eosque aliis erroribus cumulemus, Sed antequam ultra progrediamur ne in errores calculi incidamus, operae pretium est idem in circulo et parabola certoque quodam puncti dati situ experiri. Equidem possem semel in universum signa () et (+ F) pro arbitrio determinare, et punctum E. in fius N certo quodam loco reponerequ sed utitius est, ejus locum arbitrio relinguere construentis potest enim contingere, ut electo constructionem reddat breviorem. Unde rursus usque apparet ingens signorum ambigaorum: probationis tamen instituendae causa () valeat et (F L) etiam + Iem ((+ +) significet et (+ +) +. Denique in Circulo a = q, et F est - in parabola verte reti, fib C q iifinite longa Ct est +. + 2f X +2 X - 2CX pet. E. 3. X. +X 1af X tac R. hae X + Bea X + 4ca X +f tise t +C ) A+)at ...... 45 (4).... afc + 4a + 4ac6 = 4ac +Ba e ae