# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175905688X:0126 # Permalink to this reading: https://leibnizlegible.com/page/175905688X:0126?run=74 # Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178) # Folio 104, page id 175905688X:0126 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=126 # Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000126.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine # Lines: 56 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. 104 CE F O M F Z R L X n _ y; ita ut quadratum ejus sempEF LIF mm est, inter= 2my 24 nn =9y, quod a quadraco ex LC ablatum relinquie PVD 2M y anno un nn nn yy, PEO quadrato ex CMI, quod est aequale guadrato ex GTI, jam invento. AUE etiam faciendo ut haec summa quemadmodum altera divila sic per nnry, obtincbicur B n y+ + W y3 - D V 2, 9y - 59 91 restiruendo 3 n yy +233. Cacerum 9t+99t - = p p yt pFO B n 9t, e Y y3 L2V V, B + et EFaM QUE LLMMaM PeF N N yy: eXTUIFSCE 6 - p 93- Yoyt F 2V ∞7 t aPPS + VV L+ Ly5 = PVV 2 V VS. Xqualc +_ p 6yt. F 2Y V1 93 = 5 +42 2V ∞) HIoc est, habebitur Cgy = 7y + 2. yy. g- p95 - 9y4 - y 93 + 599 - + y f γ∞ O. Vnde apparet, lincas CCr, NVR, 9O, _ similes esse hujus Eguacionisradices. Duoderat demonstrandum. Flinc li invenire relimus per medias proportionales inter lincasa ex b; Policax pro prima, prodibit Equacio proporiiona- Xs X X X X = a + b ∞ O, Vel x X X K + - a + b X X ∞ O. Fa- ctaquey = a D X, INVenICEUE 6a95 - + 25 a 47+ - 20a393 + 15 atg 6a3Z ac - a+ b5 + a5b1O Vnde prolinea A B sumendum est z a, 8 643 + a a b Van + ab 6aa pro BR, vel latere recto Parabo- IX, Inventil quatnon mediarum lium. e COt Cit