# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0716 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0716?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 692, page id 851708439:0716 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=716 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000716.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 78 lines, status machine # Lines: 78 recognised, mean confidence 0.80 # 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. 43. Vel etiam; continnata D P, donec SCCCT A C (Continvatam) in C: PFO- Portiones erune, uc prius, 545, 46. 50. Sed in hac Sectione; Curra non sccat Arem Cuum in P (ut in duabus proxime memoratis in b,) Sed permanet ex eodem ejus lacere, donec axi iterum OCCUTTAE (AI CONTINUETT) in B. FF (SI SIC CONLIHUECIX) pro D R = R - c, habe. bicur) DR = R F c, ubi punctum R est ulera rectam AC. FC Similiter, Si pOst. quam BC secuerit AC in c, secet iiem ipsius DC continuationem in P; PFO DP = R - C, habebitur D P = R + C. 5I. In ucroque catu, (sire BC secer A C supra sive inFra punCtuM C,) CUIEVX BsC continuarae (pro pari concinuacione Solidi,) Occurrene iterum Aribus Tuis (continuatis) in B: taneo ulera c, quanto est B citra c. Sed ex eodem axis latere permanene, absque ejusdem sectione interea, uc in duabus proxime memoratis de- etionibus. 52. Et utrogue casu (sire B C Secer, live non secet, rectam DC,) Curra BSCB, transtatae ad unum idemque planum, (si diridatur AC in parces aequales in pun- Etis C,) comparebune uc in Sexta Projectione, Fie. 2F. UBi linea BC continuan- cux ad B; de cum (quo vicetur contulio in Schemate) craneteruneur a proprio (uo sicu in plano ABDC, ad rectam AC concinuatam: Rectaeque pa cildem (in hoc licu) applicantur ut Ordinaca, in tali proportione ad RS, ut 2P ad aR. 53. Magnicudines in hac Projectione, sic deligno in Speciebus; i O N 0 - C. U N F u 5. AB = CD. A. =C R = c. RS =V: DR = R FC =V. 2R = AC = A. BA. Ba.. BC. bp:: Ac.s l. R+6 - AR (= AC). 2P.. 15. 50. 1 FC a:: V: X - 0 R FC R X aV: P = c: = -0 aV: X -c 2. V: K = C 24. In Numeris (POlitO R = F, A = 2,) Semmtaxes Mnqe Cra Exhemate delcriptarum, sunc ejusdem lonoicudinis cum C d, DC, 534, 44; quod prima caruur (qua ell cireuli Circumterenria) hic omiltatur: pro qua, hoc calu, toret recta linea, coincidens axi suo B A. Bc. BC. BC. 2. 12803 T.4742F 2. 80278 2. 23607 2.09258 Et Sdinacue, li supponaneur Semi ases dividi in 4 partes aequales, adeoque Axeo ibli in B: FrunE d. 2 O. 325 O. 289 O. 2 T7 0.362 0605 0.650 0.750 d. 325 0.543 0.908 O. 974 0868 D. 72 T. 2T0 2. 290 1. X57 O. 207 0. 54Y 0.908 5 X. 513 X. 624 2. 44. 6 00 O. 165 O. 124 Vel