# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/79876922X:0630 # Permalink to this reading: https://leibnizlegible.com/page/79876922X:0630?run=74 # Title: Erhardi Weigelii Sacrae Caesar. Maiest. ut & Com. Pal. Sultzb. Consiliarii, Supr. Artium Archit. Directoris Saxo Ien. Mathemat. PP. totius Academiae Senioris, Philosophia Mathematica (shelfmarks Leibn. Marg. 65; ZEN Leibn. Marg. 65) # Folio 140, page id 79876922X:0630 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=630 # Source image: https://digitale-sammlungen.gwlb.de/content/79876922X/jpgs/default/00000630.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine # Lines: 28 recognised, mean confidence 0.90 # 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. a DE PROPORTIONE inter se se habent ratione arcarum; utr bases ratione loncitudinis. Ouia Cunc Dimidia parallelogrammorum calium. COndict. TI. Parallelorramma. Triancula) quorum a quales sunt bases, ita se habent, ut al- citudines. Condict. III. Prismata aque alta habent se ratione Ca- pacitatis, ut bases ratione arearum su arum, es vicissim. Condict. IV. pyramides es Coni, ratione Capacitatis se babent, ut bases ratione arearum, (5 vicissim. Fig. 44. Produetum II. In Triangulo parallela balu crura sccat proportionaliter, d vicis Tim. Demonstratio FiG. 45. Cum Friangul DEB = DF CI. per PrOd. 7. Ciap. 4. erit Priangulum ADF. DBF:: ADF. Ei. C. D. ut eadem ad cadlem. Acqui Trianeu. lum ADE. DBE: a AD. DB. de Triangulum ADdE.