# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0600 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0600?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2) # Folio 576, page id 851708439:0600 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=600 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000600.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine # Lines: 49 recognised, mean confidence 0.85 # 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 SECTIOHTBUS ap. Vd. diversitate Anculi in ertue. L. Elebris illa Pythasorae propolicio (qua est 47 F. L. x. Euclidis) de Oua- De varia Proportione Basis ad Crura Frianculi, pro cibus: Occationem mihi fecerune, sem eam paulo tusius considerandi. Ouod la- 2. Siu qui Cruribus C, D, concinetur AnguluS A, SIC RC. Etus Teu Graduum 00: de Per- pendicularis C inde demilla secet Basin B in duo Scementa Frratgula hinc oriun drato Balis, aequali Ouadracis Crurum continencium angulum Rectum: Duxque Fuchais aliae (prOP. 12, 23. F. L. 2.) De Excellu (SI AnguluS CONFENES SIE OBCTUS,) de Detectu (H RCuTUS) Ouadratorum Crurum ad Oua deatum BasIS Comparatorum: FF Propositiones aliquot in Capicibus hic anceceden. limilia. Propter unum Aneu lum communem; Alcerum, rectum; adeoque Perrium ter- eio xequalem. Ergo da (laceribus suis delignata) nCC, GSD, TUnE tOtI CDB ctum est Propolicionibus aliquor hic sequencibus. B. C.: B. D:: D. 8. deoq BH D9 =1 C9. F D9 = B, F B5 = B in (n- f 8 = )B, = Bg. HocC Et propterea, Leu gractuum 90. 3. Si Angulus A in vertice, sit pradtuum F20, Peu Z Recti; indeque demistae dua rectae C, T, taciant ad Batin Angulos ipsi A aequales: Duo Prianoula n GC, FS D, Duadratum Basis aequatur Daadratis Crurum continentium Anculum Rectum TunE tOCI C DB limitia, (proxeer unum angulum communem, alterum ipsi A aequalem, adeoque tercium aequalem tertio:) Cum Messeco Friangulo GF i Aquilatero. (Proprer urrumque angulorum au Bat, Stac 6. 1 120; ad eoque certium iem gradtuum 60.) Et Basis B = n f s f p. F r8O, d. 5. C9 =- Bx (F1BOZ D9 =BSE Ft propterea CD= B B. C:: C. X. B. C:: D. F = C-= H. 3 C4+D9+ CD=b1+ 65161 B in (x f d p =) B D Lad Duadratum Basis, Ansulo eraduum 220 subtendentis, Aquatur Quadratis Cru- rum, eorumque Rectansulo. 4. S ur