Leibniz Legible

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. 69

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: 0.86.

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The machine reads it as

  1. DE CTCEOTDE.
  2. a (PrOPTer D duplam rectae C: C B19. 7.) duplas rectarum Z Y
  3. ti8.7. ad eoque lingula V: D = a: in L. V f9. 10. Guadrupla Cin-
  4. gulorum BVXZV A9. 7. Ec (proprer alticudinem C A Ag. 2O. Qua
  5. druplam alticudinis cBAg. 7.) omnia omnium sedecupla (ett c-
  6. nIM 4X4 = 16:) Fc denique (proprer eandem AC =+ 4 c B) diltan-
  7. ciam cereri graviraris a cCf9. 20. Quadruplam diltantiae a Bb
  8. H9. 7. CrIE (PEOPFeF X6X4 =64) momentum aai momentu UE 64
  9. ad L. AdeOQ; OmneS V= fic. TO in V: D ?= aE: in 2a, = sDF; (nem
  10. De ad momentum omnium VZXZYXF V A9. 7. hoc elt = D= pCF
  11. Praeced. UC64 dd T.) EEproprerea, Facta applicacione dd D, Om-
  12. nes VZ (H8. 20.) in 2aV: D a
  13. bina rectancula (∞ 5B MeOFALA) 5 D3. Qrod a S4 PrOPOnITuIE
  14. anquirendum.
  15. 74. Cumisitur sine omnia Zuq (Per 59) FD, & omnia
  16. ZV4 (per a63) =D P= -4D, e denique omniA 2VL XZV (Per
  17. 73) SD. Frunc onnia VZ9F2VZ+Z0tZ09f9. IO. =DP2- 228
  18. D. Ommia vero AF9 CunE ED P2 = LP X2D. Forum isieur ad
  19. haec racio constac; nempe uE = P = = 228 D 2 2d = P 2
  20. siVe UC 45 PZ = 256D 2 ad 45 P 2. Duam quidem ean
  21. dem esse quam habet momentum superticiei ex lemiconver-
  22. sione currae C A H9. 8. circa CF, ad monentum currae serieplin-
  23. dricae ejusdem balis, altitudinis vero 2D = C A respectu rectae
  24. CF sire plani per axem; jam 58 ostensum est. Plt aurem isti.
  25. us magnicudo (per ∞. 16) P2= ER P (IVC P= =EDP; hujus
  26. autem P= (quod nempe AE ex altitudine 2D, in semiperi
  27. Pheriam radio AF = =P descripram:) adeoque illius ad hanc ra-
  28. LiO, UE P = 4D dd P, sive uE 3 P= 4 D ad 3P. Ideoque pTOPtCF
  29. -42
  30. 45 D2 = 25bD2 45P2 - 256D
  31. 45 P2
  32. 45 P = 260DP distancia-
  33. rum cenerorum graviratis racio est, ut 45 p = 256 D= ad 45 PE
  34. 6ODP. FH auxem ceneri gravitatis expolicae currae semics
  35. lindricae a plano per axem diltantia D, (nempe radii AF = Z P C~
  36. ParSgUX eAt ad EOFAMI, ut chorda ad arcum, hoc es uE D ad ZP;
  37. EEPrOPtCLCS
  38. 45P2+256D2
  39. 45 P= =60DR D distantia ceneri Gravitatis su-
  40. perficiei

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 69. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0077?run=74