# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0619 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0619?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 595, page id 851708439:0619 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=619 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000619.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 27 lines, status machine # Lines: 27 recognised, mean confidence 0.87 # 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. C ap. 1X. eidem IID (eu ZBD. Nam PO FFI lun parallela curpore aequales angulos Facientes ad D Fproctuccum;) Adeogue PI =O HI. LE PEOPterCA OD = PV =DD - OH = ID = 2 BD. Per 8 4. . Fadem paricer ralebune, etiam si Crurum neutrum transeat per Centrum. ladeoque nec luper Diametrum jaceat;) Ouod, pro divertis casibus, speciarim Oltendam. e Si MF. un Facianc ad B, ubiris Inira Circulum, Angulum NI R u: Esto 2d Concrum Ansulus huic aequalis BCB, cujus crura sint illius Cruribus parallela. Perque angulare punctum I, ducatur PPD diameter. Tum erit (per 55 ND. F L H = 2BD: FFAD F AF = 2BD. Ergo (Summa vel Difterencia) M e (= MD F ND) F L. a (= L. F +AF) = (2BD F 2BD =) 2BB. A N G UF A R FBUS. 6. Si ad punctum N in Draeto Producta, LXtra Circulum, similis FOrmCtIE Ansulus A: Differentia duorum Arcit cm, VD = P H, aequatux 9. Similiter: Si PTEn Sc Angulus in Circumterentia: F.C, ad Centrum, cidem timile BCB; hujusque Crura Cruribus illius Parallela: L.L L CD cancter. Lu per 84) HD = 2BD; e n D = 2BV. L(= AB =nB) = (25D 2 B =) 2BB. 0. Idem intelligendum, Ei Crurum alterum Circumferentiam in L cansat (punctis Acoincidencibus; Arcuque PH eranescente; Arcuque incu n eodem Nam e nic FIF D = 2 B HIEn (IED =n FD) = (2BD + 2BD =) 2BB. PFOPICKCA 2BD. I existenre cum P n. Simt.