Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 37

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.

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

The machine reads it as

  1. DF CTCLOIDC
  2. ER P; sIVC VE ZB L =, = R P ad Z R~ P: HOC CA, (PrOPTeT B
  3. 2R DZ 2R P, )uC 32, RP2 28(3∞ + 2572p
  4. 3ZR D+= 2BR3F
  5. ad =X3 P. (910d 5 46, 87. Suscepimus osendendum.) Flt aurem
  6. ER P momencum annuli ex es convertione semicirculi: FrgO d
  7. ERP3 =LB F3 P eB momencum solidi ex dicta convertione ceri-
  8. excloidis (circa AF) respectu ejuldem CP. Ouod momeneum (1
  9. per solidi magnirudinem Z RP= (Per 5 24) dividatur, prodibit
  10. P m
  11. 228R 2
  12. 15p distuneia ceneri gravicatis dicti solidi (ex con-
  13. versione semiercloidis circa A F) a recta CF: (adeoque
  14. T28 R2
  15. 25Pejuldem cencri distancid a re. Ta BB.)
  16. 203. Si vero incelligntur idem Semiereloidis planum circa
  17. C F converri; momencum solidi inde Facti respectu A F recta
  18. (Proocer maonitudinum ex distanciarum reciprocationem,) idem
  19. Plane erir acque momentum jam inventum solidi ex ejuldem
  20. plani circa A F conversione, respectu rectX C F, (LE TUPFAS64
  21. et 89 dictum est:) nemDe, R P 3 =F P P. Duod momenEu, Si
  22. ver magnicudinem dicti solidi dividatur, hoc elt, Per E P un
  23. X P(Per 585) Prodibic 45 P= - 522 X2
  24. 54 P =384 R2 R, disanTIA CCNCKI Gr2
  25. vicatis istius Colidi a recta A F. (ve
  26. distancia a BG.)
  27. 9F= + T28R =
  28. 54P= - 38482 ejusde
  29. 204. Possune haec eadem irem inferri ex 5 90. Cum enim Pa-
  30. tio momenti Polidi ex convertione Semiepcloidis, ad MOeNEUM
  31. Tolidi ex conrectione Semicirculi, circa A F uc axemm, respectu
  32. C Fuc linex aequilibrii; vel, circa C F uc axem, respectu A L
  33. ut jineae aequilibrii; ibidem esse ostendieur, uE Ba F 2 C~ + 3
  34. R. P ad =RE P; hocCA, (PFOPICEBD=
  35. 7O2, e C+ = ZB1+ + R3
  36. ZRP3 =R P13RIP
  37. RP2 = 2 XP, Per d
  38. 6RP= = SR. P, ) Ut, ZRP +- 2 6B2. P dd
  39. ER P; (omnino uE SuPEA S 2O2:) Hlabentur inde cum solidoeu
  40. momenta, cum cenerorum gravitaris distanciae a respectiris aequi-
  41. dibrii lineis, eodem plane modo quo 5 102, 103.
  42. 205. Sed e simul colligitur cum momencum (respectu recta
  43. AF) cum centri orarieatis distantia, solidi cujus omnia plana
  44. Cunc ipsa Z2Y rectangula, hoc est solidi cxlindrici balin habencis
  45. semi

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 37. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0053?run=74