# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797939695:0287 # Permalink to this reading: https://leibnizlegible.com/page/797939695:0287?run=74 # Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1) # Folio 267, page id 797939695:0287 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=287 # Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000287.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine # Lines: 55 recognised, mean confidence 0.79 # 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. 3 CuI IMII = d decrel. Dalisi M; d ractum ducti ud et e aqu equalu eiulde c etas elt UI, leu 5 detta ali C Geometricn. 267 seilicec dlementa decrescune, vel in exipli- cata, vel in quadruplicaca alcicudinum ac. paucas aucem huiulmodi fguras ha- bemus. Sic ergO, 1. OVadraTUI R V, AGUTAMOT Fixura R; ite MOTZ; SIcque T Y ad PF30 ineriplicata Y M, 3d P M; B duCaCUE I Y in = YM, aquatuE AGUTa MOTY; IsItT ( AUCATUE MR in =R T XQUatUE fgura M O T R; isitur haec Agura MOTR quadracur, eAtque ad RY, vE 3. 2d 4. 2. Si voluatUF R Y CIFCAR M, gC nicum a erilineo MO T Y aqUaTUE, du- eta superhicie cxlindrica genita d T Y in =YM, ve demonstraui prop. 5. num 8. Cum aurem aequetur crlindrus genitus abRY, ducta eadem superticie cylin- drica genita ab Y T in = YM, crit gC- nicum ab R Y, mimirum exlindrus, 2d enitum a crilinco MIOTY, VE5. 2d 2. igitur ad genicum ab MO TR vE5. ad 3. Cplindricum vero (ub ba(I M O Y R de alcirudine R T, ad cubum (ub latEKC R Y, NE 3. ad 4. vel vE 15. 2d 20. cubus demum praedictus (uB latere R T, ad Tolidum (ub quadraris RZ, C O, N L, aliis- que adte. idt dd 1 d