# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/79876922X:0728 # Permalink to this reading: https://leibnizlegible.com/page/79876922X:0728?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 230, page id 79876922X:0728 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=728 # Source image: https://digitale-sammlungen.gwlb.de/content/79876922X/jpgs/default/00000728.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.89 # 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. DE TAVESTIOATIONE tiypothelin; ee Ad F. communis utrique; sIter- tium latus utrobique E A _ D 1. daretur, ut ambo sint: lia; complecterentur haec bis trina Bina Friangula lateribus alternatim aequalibus conscituta, quorum ansuli verticales detinicis Lemissibus opposici d AD et d AF. quoque fo- rent xquales Per Prop. 8. Guibus aequales oppo- nerentur bales per ProV. 4. Aequi dantur o mmino calia latera discernendi reCtam DE. Dita- riam, circulis ex utroque puncto D de F. ad ini- cercapedinem ultra semissem totius, uc interse etio Aat, descriptis. Per postul. 3. juxta detin. 15. F. Certus est etiam Processus Syntheticus ipsius Euclidis. Desiderium Prop. Z Data Recta AB, E puncto in ea datoC. rectam lineam ad anculos Rectos exci- Tare. FI8. 66. Analy IS. Supponatur factum, (itque recta CF. Cx. citata perpendiculariter h. c. ad angulos Rectos h. C. uC ansulus FC: B. Sic aequalis anguIO FC A. juxta detin. 10. Videmus utrique recto com, murie crus este FC. Ouod si lacus oppositum recto (vulso dicitur lyporenula) cacuiposet uerobiguo par v. gr. FF. ip( F D. TriansulaFo- rent alternatim aeguilatera, per structuram: rodsbales aequales substerni possent, DC. ni irum A Mlar p1IO III alu