# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797939695:0254 # Permalink to this reading: https://leibnizlegible.com/page/797939695:0254?run=74 # Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1) # Folio 234, page id 797939695:0254 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=254 # Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000254.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine # Lines: 31 recognised, mean confidence 0.91 # 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. 234 Sy2opsis duplicata alticudinum, ve enim quadra: tUI FIP ad quadratum S P, ita luperticies cubica continens Cex quadraca tIP, ad sp perticiem cubicum continentem lex qua. draca ST. isitur ducta luperticies cubica cubiTIK in Cuberiplam V s vel Cemilate. eis cubissionit cubum; hinc cubi balis iuxta hunc modum considerati, lune les ipla quadrata cubi, leu superficies cubi Caialtitudo reros eu mentura, est lemila cus; Vnde perinde est liue ducatur quadra tum FIP in lacus IIO. Ciuc ducas superfi ciem cubicam, Ccu sex quadrata FIP in Tublextuplam laceris, vel suberiplam le milateris. 40. Omnia polyedra reloluta in lu perticies, concentricas ad hanc clallem pertinent, etiam recxacdrum, quia supertu cies decrelcune in duplicaca alcicudini: exic autem basis prima luperticies de al. ticudo, recta ducta d centro polvedri ad centrum Faciei: id eAt, radius (phaera, cui circum (criptum est polredrum; G aurem in Cuberiplam huius ducatur superticies Polredri, habebitur polredeum. in Pe eraedio, dicta alticudo est Cubquadrupla perpendicularis ducta a verrice in cen- erubalis; nempe si Tubquadrup la quan- CitaS