# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/898203430:0090 # Permalink to this reading: https://leibnizlegible.com/page/898203430:0090?run=74 # Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151) # Folio 62, page id 898203430:0090 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=90 # Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000090.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine # Lines: 30 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. VINCENTII VIVIAM PRO LOCIS eoroII. 22. Ex Quoniam rectangulum S F V aequale est a quadrato legmenti axis GB, erit quoque rectangulum7 09 aquale quadeao OF. (lalet a CtI cam rectangulorum, quam quadrarorum lunt prepercertaa caltenese ratione Lectangulum + 26 aequale Guaca 4. Insuper in oppositis Sectionibus ( C quibus alteram A B C dUIX FCCtA AG, CC ContingnnE ad A, C, SImVIGUC COIVCIHEM II C AECLAIM VN DEF tansit OR, ac sCCaED F, veraque ip(I A C tactus iunsenti parallela, huiuS. ee latetalibus contingencibus occuttetts i . H, ce 33 33 et tellut 30. huius, Gulum 2D5 ad quadrarum L. B ve b quadratum 5 A ad quadratum AL, et re suct a 4R de LL B, Vel ve quactatu 3 4 ad idCm L B, Cr5O rectangulum 2 D 5 aequale est quadrato 34: Si his igitur adctatur, vel ab his auteratur rectangulum F3D, hiet rectangulum 2 35 aequale quadra- t0 D4, vel quadrato F4; Sed rectansulum F 2 6, ve luperius octendi us, aequale est quadrato C7 4, ergo duo simul rectangila 2 3 5, 8 226, sive rnicum rectansulum r36 aequale elt duobus simul quadratis F4, _ C4, vel rnico quadrato GF: sed ee rectangulum7 99 aequale est quadrato CF. ergo quadratum C F. ad quadratum G F Cst VE rCCtAN sulum 7 09 ad = 3 6: horum autem ratio componitur ex ratione 7 ad =3, vel OO ad O3, vel PP ad P4, _ ex ratione 9 dd 36, vel MO ad M 3, vel NF ad N4, rationes aIIEe PF ad P4, X N F ad N 4 com-. DONUnE, quoque rationem ieu Cianguli N F P ad ergo quadracum CF. ad quadratum C I est ve reccangulum NE P ad N4P. Ouod Osten. dere propos cum fuit.