# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175906937X:0268 # Permalink to this reading: https://leibnizlegible.com/page/175906937X:0268?run=74 # Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178) # Folio 244, page id 175906937X:0268 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=268 # Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000268.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine # Lines: 33 recognised, mean confidence 0.88 # 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. 244 E L E HL. C U R V A R U M Duorum quidem omnium particularis decerminatio, deleriptio, de demonstratio variis modis Acri potest: ac vero ex simplicistimis, generalistimisque aliquem annocasse (UHCCOPIE. AC primo quidem casu, cum neutra quancitatum incoonitarum ad duas pluretre dimentiones alcendit, si Carum una exprImatuT per x, acque alteia per y, porelt requatio ad aliguam sequentium Formularum reduci. I. y∞ =, sive (Polito a ∞ b) YDX. lL. 9∞ = =6, Eive, PoliEo, UE SUPFa, yDN F 6. TIL. 930 - - c, (VC y ∞ X = 6. IV. 7∞ - = +6, AvCy ∞ = X - 1c. Fiac aucem carundem quantitatum incognitarum secundum regulam calis allumpeio, uc inicium unius, verbigratiâ, iplius x, cerrum lic ex immutabile, ueque eadem illa quantitas ex certo e immutabili illo inicio in linea recta politione data intellisatur indefinite ex cendi, alcera vero indeterminatae quoque longitudinis linca priori in exeremitate incerea in daco vel altuin- peo ansulo conjungi. Ouibus quidem suppouis, ca, quae praedictalune, sequentibus Theorematis non in- congrue proponi, decerminari, ac demonstrari posse videntur. E H E O R E M A Propositio T. a Si a Gualio Il p00 =, erit locus guaelitus linca recta. SieluDico d Mcca acabile Flliccumi a aeque Cacelu illax per rectam AB indefinice le excendere intelligatur. Dein, Cumpto in eadem AB puncto utcunque, reluti B, agatur B C in ungulo