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Machine transcription of the Leibniz Nachlass

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[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 8

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: 0.89.

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The machine reads it as

  1. D CL 1CtDE.
  2. Cylindro cujus balis est idem circulus C F, e alcicudo aequalis
  3. rectx quae sIE ad iltius CIECUMFCrentIaM UE 5 ad 2; hoc eH, dupla sC
  4. quialrera rectae A D. (FsF ucique innulus ille =D PXP = ZD P2
  5. ec solidum illud Cycloidicum SDP 2. Incelligendo scilicet
  6. per D, diametrum, ec, per P, Decipheriam circuli generancis:
  7. uc ex deinceps alibi paNIm.)
  8. 26. Sed ex pari argumento de partibus judicandum Crie
  9. solidi circa Nempe cum Colidum ex convertione segmenei CZ A, ad solidum
  10. ex convertione segmenci FZF; ut e solidum ex convertione
  11. Duadrilinei sZ CF, ad lolidum ex convertione sectoris F Z C,
  12. eti uc 5 ac 2. DantuF aurem hxeC, ergO _ illa.
  13. 27. ed _ insuper, si ex Polido ex convertione quadcilinei
  14. SZ. C F, auferatur solidum ex convertione craxerii cZ Y F, ma-
  15. rebic annulus conversione segmenti C2. Y circaarem A F Fa-
  16. ETuS; Qui IEaquC datuS est.
  17. 28. Fst aurem Annulus ille, aequalis Tolido 2. Y C _ vE (9.
  18. 3. (uE 8. 8. Oltendirur;) unde s auferatur dacum prisma
  19. XZEON C. (cujus basis est seomentum modo revercum C L L,
  20. alcicudo Xv; quae estad C ∞ sive 2 AD, ut F Y ad F C;) quod
  21. Superest solidum a Eun xequatur Colido ex conversione lesmenei
  22. CZ Y circa rectam Z X Facto.
  23. Solidu axis 29. UIE vero habeamus solidum ex convertione Semicrcloidis
  24. circa rectim C. F, ejusque solidi segmenta, libet pauloimmu
  25. eare constructionem, (nulla necestitate, sed phancaliae juranda
  26. STaciI.) Nempe cumprius octendimus, in figura circumleripta,
  27. lraperii Parallalogrammum minus esse quam Trianguli duplum,
  28. sed majus in fioura inscripra; differenciam vero utrobique (se
  29. ctione in intinicum continuaca) eranescere; adeoque reapse per
  30. inde esse sire inscripex sive circum fcripex fguex Praperia per-
  31. Dendamus. (ee de Triangulis limilicer:) Commodum jam vi-
  32. detur viam incer utramque mediam sectari, adeoque tum TFa-
  33. peria Cyeloidis, cum Triangula circuli, parcim circum scribere,
  34. Parcim inseribere; puta pro Praperio ZE vP Ag. L. Traperium
  35. VBrP; _, pro Triangulo 2 Fp, Triangulum vF p subctitu-
  36. endo; uc cum illic recta ZGcraperium, cum hic recta 2 F eri-
  37. angulum, quali medium secet. (Ucur enim in sectione detini-
  38. EA V Z MajOE (IE qua Z P, XvZ quam Z D, haec camen dif-
  39. ferentia, sectione in intinitum concinuara, cranescit; adeoque
  40. Seomenta
  41. 6.3
  42. Fi8. L

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 8. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0024?run=74