Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 907

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.83.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. l1op. L2. ciatt cdiais.
  2. cc DicO, SpasiuM A V P E FB aequari Pripio seemento C B F una cum Frianeulo
  3. aNOB: HOC est, Sectori AR B una cum Spario C VBK. FI enim Secm.
  4. ccCB Y =Spat. C FBK. Nam (juncta C Z,) CxIt ANS. CZ. B =- Z AnS. C AB
  5. ec Adeoque Sect. Z. CB = 5Sect. AKB. ErgOSect. Z CB = Priang. AC7 1
  6. cSDaT. C TBK. Auterancur aequalia, hine Frians. AC.Z, inde Prians. Z. C. B.
  7. Fic, Spat. C F BK = 803m. CB Y
  8. Ostendendum ergo, quod Spat. AVPKF B = Sect. AKB f Spat. C LBK.
  9. (Praesumitur autem, tanquam facile demonstraru, per noras exhraultionum me
  10. cc codos, Sectori A L. B Inseribi posse e Circumseribi ficuram Dentatam, ita ut
  11. ce sera alteram excedat spatio minore quolibet dato: Et similiter, Spatio Cissoidali
  12. cc A V P F. XB.
  13. ac Si dicamr Ciltoidis Spatium AN L L. H B, TNUS CNC GtaH Scll. AL BF
  14. amilta perpendiculari C R) ut AB f BR ad R A. FrBO, componendo, VTa-
  15. DeZ. E. C F Frians. ACil ad Triang. A C. L, nt 2 AB ad AR; TIOC est, ut
  16. 2 Ouadrat. AB ad Ouacrat. AC; Hlocett, ut 2 Oi. A R ad Ou AC; HOC est,
  17. cc. L FrapeZ. C. N = LTap. C CatetIS. LISO, LBMTa III SeclOrC
  18. ec In(eripia F OMM. FTaDCZ. C H = PIBUEX Spatio CModis Inlcript. Sed H-
  19. a Ciltoidis spacium A V P H. P B a aGuatur CRAPOCC SCOARB F Spac
  20. aCFBK. LreOHBura i Cilloide ipso Cilsoidis spacio major exic. Ouod clt ab.
  21. ec furdum.
  22. a Cp2t. C T BK: Sit horum excettuS 2. FC inseribatur sectori A R B tioura ordi-
  23. a pate, ut duplum omnium Fllincorum d ND _C MIIIS quam su. Et CiIoidis
  24. cc Spatio AV P F. FB, Aigura inscribatt ex toridem arapestis. Otendetur Fra-
  25. a perium L. F O ( = FFIanS. AR N F Prapez. C. N. EHt enim Fraper. F C ad
  26. a FrianS. ACP, ut F G-F F O ad C. L, (quia eandem habene alcicudinem;)
  27. aHOC elt, uE F A f AF ad AC; HOC ell, vE A F F FC ad AC; Hoc eAt, (de-
  28. eC 2 FTIanB. AK N ad FrianO. AC L. CIBO, LFapCZ. H. G -F FFianS. ACL
  29. C2 Frians. AZ N. Ft, ablaco utringte LFIanS. AC L, IaHCB LLTaIIZ. A AH
  30. agura in Sectore altumens omnia L NB, item Frapezia C N altumeneia omMid
  31. KND, ilta inguam omnia simul Cumpra superant Sectorem ARB. L SpaL
  32. CFBK. AIBO Hgura in Sectore L craperlto CH lHoc est tieura in Cirtoide,
  33. Dicacur jam Spaciu
  34. ac astumens spatium s, lonse superabit Sectore AK B. F (pac. C P BR. Sed ipsum
  35. in AVP F. PB, majus
  36. a i
  37. a sine miltota excelli s. Fr Cistoidis spatio, figura ex toridem Frapeziio; (nili
  38. e quod, Pro ulcimo Traperio, habeatur in Cilloile Frianoylum A HLB = Lrians.
  39. A HB Moectore.) Ostendetur, ut supra, PrapeZ. P O F G = FrianS. A D. N +
  40. K
  41. aSitque excestis s. Fx circumleribatur Sectori Fgura, ut omnia K N D bis TuM PCA
  42. Tcaper. L. D. ErSO, corm figura circumseripra Ciltoidi, aequalis circum lexipia
  43. 12
  44. dectori

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 907. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0927?run=74