# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/79876922X:0640 # Permalink to this reading: https://leibnizlegible.com/page/79876922X:0640?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 148, page id 79876922X:0640 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=640 # Source image: https://digitale-sammlungen.gwlb.de/content/79876922X/jpgs/default/00000640.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine # Lines: 29 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. 240 DB PROPORTIONE Subd. 2. trujus. Requi sic etiam est Cubus su- per prima ad cubum super secundâ: ue exprae. missis Patet. FrBO. Subdict. VI. Si 4. rectae sins proporcionales hina rectilinea similia, descripea a duabus primis, sunt proportionaliabinis alteris inter se simi- libus (diversalicet formae,) à posteriori bus descriptis. Fie. 54. Subdict. VII. Si4 rectae sint proportionales; etia parallel. epipeda, quae ab ipsis C5 similia (5 simili cer descripta sunt, (V.5. Cubica) propor- tionalia erunt. Subdiet. IIX. in omni parallelepipedo, diametri es diago. nales omnes, se mutud bisecant in uno puncto, tanquam in Centro. Subdict. IX. Ut Trianculum parallelogrammi, super ea– dem aut agualibasi es in iisdem paralle lis rectis, dimidium est; it aprramis, Pris- matis super eadem aut equali bast C5 in iisdem parallelis planis, est tertia pars. Quod de Cionis respectu Cplindrorum etiam verom) est. SUB