# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068229:0017 # Permalink to this reading: https://leibnizlegible.com/page/00068229:0017?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 16 # Folio 9r, page id 00068229:0017 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 8v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068229&page=17 # Source image: https://digitale-sammlungen.gwlb.de/content/00068229/jpgs/default/00000017.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 75 lines, status machine # Lines: 75 recognised, mean confidence 0.77 # 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. x. X. 64 + 4. X5 X2 64 + 64 X2 64 + 16 X3 X2 ba2 14X2 64X f, 64X2 64X + 16 X 16xtXL - 1X - c. X2 4X f X2 + X3, + 24 4X2 7 4 3c8 4 Xa 15X3 9C4 16 X 1- 1 2 + 4X4 + 5X5 + X6 64X 48422 +2173 174 V xa + 2la3 F44142 1 2. 4 47 _b X3 X2 + 21 X 2567C ~ 105X2 256 V 105X X V +0 256. 2562 +336X~ 44, X2 60X3 784X4 +213c5 + Xb, a 10l - b r 11 - 4b5 ∞64 23 - 8029 + 1625 256 105 1 2t + al7 +. +e 4 2ef 4 f +C, C - pro e ponc fr l. fier: 2f + 4lf 13f + 2 (2 piai est. 151 1 auctos Clano duorum quorumlibet facict quadrarum tres Numeri proportionalet Geomestrice, quouu solidus 6GG76 2688 9241 b 6104 O O 304 Triplces hic aequalitates, factus ex tribus quadcatus. erx (jam et ipsi 16. 1. 4. quadrati.) Ergo et sanguli sed et ergs factum ex ipsis solidum aequetur quadrato. Sane si ties numeri illi sunt quadrati factum ex ipisis arit, non quadratam etsi autem ad non procedat contra. Tamen res in multis casibus succeder 25b 28 2688 e 6, 216 vicer a =m X elg X + A lgnX () m a a lvestrgandum qui pon quadrati in se ducti faciant quadratos: e b et bm In e nempe. b neb 25 491f +2l + 2f + 2fl +f sive 5f+6IF + 21 +f + alf + 21 s. 1 a8. 14 e a+b a - b