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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. 11

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: 0.87.

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The machine reads it as

  1. crrculi C F centrum ocavicatis punctum F (in circuli diametre
  2. Bali Cycloidis parallela.) Duoniam vero momentum semiereloi-
  3. dis ad momentum Cemicirculi, respectu linca C I; elt in racio
  4. ne composica ex racionibus magnicudinum, ec diCtANEIAFUM CCHETI
  5. gravicacis ab ea lem aquilibrii linea C F; acque ex cildem r2
  6. eionibus, componatur Patio folidoium ex eorundem PlaNOTUIL
  7. circa C. L convertione genitorum, (ue supra infinuarum elts
  8. 29.) eadem enie momentorum ratio, acque ratio solidorum lic
  9. GeniTOrUm. NNempe, UE 9 AF. 9= 4 C F 9 ad 2 C Fg. VC8
  10. 30. dictum est.
  11. 35. Ductâ ieaque C e hali Cvcloidis parallela, quae sE ad
  12. C3F, UC OAL 9 4 C F9 ad 2 C F 9: Si incelligatuE ex
  13. puntoe suspendi aequalis semicirculus, aequiponderabit ille se-
  14. micscloidi opposua in suo sicu. Ouoniam vero maenicudo semi-
  15. crcloidis ele ad magnicudinem Pemicirculi, vE 3 ad L3 s FUIaEUE
  16. (in ucroris semiercloide) recta OT (Da( Parallela) quae Hc ad
  17. GC, aEx 2d3; ee ducatur recta r y sectae C F parallelas erie
  18. centrum oravicacis iltius semercloidis in recta PV.
  19. 36. Ponamus deinde Cenerum librae in F, ec rectam AD li. Duamne
  20. neam aequilibrii. Ouoniam momentum semicreloidis ad mo. distat ab
  21. mentum Cemicirculi, respectu rectae AD, elt in arione com AF.
  22. Polia ex racionibus magnirudinum, ex diltantiarum centri gra-
  23. vicaris ab eadem A D; adeoque in eadem ratione cum Colidis
  24. ex convertione circa rectam A D Factis, hoc est (uc supra dictum
  25. elt824) uc 5 2d 2; Si in continuaca GF, TUIMAEUF FF, GuX
  26. (ic ad LC uc 5 202; Temicirculus inpuncto F, aequiponderabie
  27. lemerclordi in Tuo Ceu: Cumque semicy clois sic ad Cemicireu
  28. Tum ut 3 ad 23 E Furratur (in recta F G) recta L A, Qu∞e HE dd
  29. F F uE Y ad 33 acque a puncto a ducatur bah Crcloidis parallela
  30. AS (recta YY Occurrens in s,) erit centrum gravicaris sem
  31. crcloidis in recta a s; adeoque in illius puncto s.
  32. 37. Acque exiisdem principiis, eodem fere procestu, colli- Centrum
  33. oecur centrum gravicatis segmenci C Z. T. Pric enim momen- cravitatis
  34. cum segmenti C 2. Y ad momentum segmenci C Z respectu sermenti
  35. lineae aequilibrii C F, ut Colidum iltius ad solidum hujus con- C Z X.
  36. versione circa eandem C F Factum: Sed haec ratio dari suppo-
  37. MLEUF CX S 3F: ergo _ illa: FAO uE a ad B. Sed e data est ratio
  38. magnicudinis ad magnicudinem, Per 823: FAOhXCUE a 2d 7.
  39. DATUL
  40. C+ DC.
  41. e

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 11. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0027?run=74