# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/79876922X:0615 # Permalink to this reading: https://leibnizlegible.com/page/79876922X:0615?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 127, page id 79876922X:0615 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=615 # Source image: https://digitale-sammlungen.gwlb.de/content/79876922X/jpgs/default/00000615.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine # Lines: 52 recognised, mean confidence 0.77 # 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. Llis1. rtgH 3 sirt IE quo ditur Utalit, LtIm AlLm RT DTVPROEATIS. mmom rrman m 12) que; de orcambitariam lecatdia meter. Idem de Parallelepipedis. Demonstratio. Cum rectae parallela AB. DC. sent PrO una recta, per Dictam. 18. _, Pihnt aquales, per liyp. rectas paralsela5. es aequales AC. BD. PrO juncturis habeant per Productum 9. Ci. 3. i Diameter CiB. dueatur, quae communis est uerique parti, uc triansulari Ci AB. CiD B ipsius area per cam bixarcitio crincitur Pro- ducti z. CiOnD. 4. Vid. Fi8. 28. Condictamer Omne quadrilatorum utrinque habens lau tera opposita aqualia, est parallelon orammum. Productum VII. arallelogramma super cademba Ii, e in iisdem parallelis, ( bC. que alca) inter le aguaneur. Demonstratio. Cum enim parallelogrammi latera oppoli ea regmentur, per Prodo. hujus, erit AIdF=DFF. adeoque Nlum AB. = AIO FCD. remoreaum ab utroq; pars comuniS. WF. CT. traperia AVCIB SE FF CC crunt aequalia. Addatur BCCI utri que; e craperia xqualiare ducca erunt ad aqua- ouli) lia paraletoeram2. 9. E. D. Vic. F. 15. 30. quei XI 4 EOn iBLC 1alibu ateri ique b (5 re odior Lidi aMinI. da, lole