# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0709 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0709?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 685, page id 851708439:0709 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=709 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000709.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 81 lines, status machine # Lines: 81 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. Li O N C - U N F U S. 28. In Numeris, IC. LoIId R = +. A= 2. F. 936 0. 277- 0. 433 0. 650 O. 866 T. 083- T. 299 + T. 516 - F. 732 79. Tertio. Si secetur Plano cZog, parallelo Rectaneulo CDB A Fic. 2. Currae haec exit proprietas. Ductis Friangulis ut in Schemate; Frit, VE SR (ordinata d quoris punctorum S, in areu Z. ;) ad 08, Peu L. P (ordinatam 2 Z, ubi planum cZ. 9 secat quadrantalem arcum:) sic elt aR seu AC (tOL alcicudo,) ad 28 seu a0 (distanciam punctio a plano A aa parallelo Quadranti CDO. ) PFOPtETARS, 055, Timilia triangula. 20. Magnicudines sic designo, in Speciebus, CO = CD = R. CP= CiR = c. 2. = e0 = V: N = C 2 RS = V: N - c R a = C A A. RS. R2: : 50 (= D Z,). 8a = 52. V: R = c. A:: V: R = C 2. AV 5a == 82 = t X c3 R 2Y. FIX Currae (Si planis tiant aequali intersticio dilticis) projectae in Rectan. outum (cui sune Parallela) CDB A: comparebune it in Percia Projectione Fie. 28. Oux sic delincatur. Describatur Rectangulum C DB A (simile de aequale ilII in Solido): EF Ouadrans C DO. Diridatur CC in quorlibet partes aquales in punctis c. Et describantur Sinus seu Ordinatae c Z, cum co. sinibus Z. P. Tum, si supponantur a lingulis punctis R in recta CD, recta R0 a parallelae ipA C A secances quadrantem D in S, ee A B in a:) acque inibi, VF RS ad PZ; sic AC (= aR) ad a0. Cvrrae q0P. in plano, reprasentabune relpectiras 90S in Solido. Obinotandum; ut Rectae 5050 in prxcedente Projectiones Sic 2000 in hac, secantur in partes aequales. 22. Prout Solidum potest pro libitu concinuari deortum, uera Ouactrancatet Balin C D9. Sic ee Curra qoP continuari poltunt infinico. Fruntque, lic con rinuatae, cum inter le, cum ad continuatam rectam BD Alymptora. Atque, A Soli. dum concinvetur turlum, post decullationem in AB; abscindene eadem plana, in oppolito Solido, Oppotiras Sectiones hilce similes. 23. Maxnicudines in Projectione, sic detisno, in Speciebus, CD = a. 0. 242 8. 484. + 6. 726 0. 968. F. 2T0 c. 4) = + Co T. 694 + = 5 = V: R SR = 5 = V: R 6 AC= 1 SR. Z P:: AC(= a R). 20. 0, 165 - 96 D. 66T d 827- 0. 992 + 174 c. 323 - 5. ad:: A. = A. 2 - 2 P C V: R CXXY 3 A = L n. LM