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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. 44

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: 0.90.

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

The machine reads it as

  1. DF CTCLOLDL
  2. POTA VerO CUrVa C A 2 D 4 R; IN ReCLAM A F = Z P docta,
  3. est 2 R P. MOMeNEUM IgIEUF CUrVa C AHg. 8. In iuO SIEU, ad
  4. momentum ejusdem ex puncto a sulpentae (respectu C F rectae)
  5. eAt UE 2 R P = 25. R ad 2 R P, vel uE Z P = = R dd = P; hOC
  6. eHt, VE A F no Z C. P, dd A F. Adeoque centrum gravitacis currx
  7. C A A9. 8. a recta C F diltat, ea partC rectae F A qua SIC ad EO-
  8. EaM VE F A _n Z F C ad F A. HIOC eAt, (ducta A a rectae FC
  9. Parallela,) ab A a distac, ZF C = Z D: Tantundem Scilicet
  10. quancum supra invenimus ( 3.) aB A F diliare. Adeoque
  11. TuMPEIS TUM A S, TUM AF, = Z C F, ductisque sA, F γ, (rC-
  12. atis AF, F C, parallelis,) se decullantibus infD, eric D cen
  13. ErUM OrAVIEaTIS CUIEVR C A. F H9. 8.
  14. 26. Sin porro, pro rectis omnibus ZV _ Zv F9. 20. Tubsti
  15. cuantur alixe quae ad has sint ut percipheria circuli ad eju sdemra-
  16. (quae est magnitudo AguTE
  17. dium; adeoque prO 2 R D 2b R2
  18. ex erilineo e bilineo Ag. IO. Composita;) TubstIEUAEUE 2 PE
  19. ib RP; habetur superticies quae ex convertione curra C A A∞. 8.
  20. circa C F delcribieur. Aquat ieaque duo quadraca basIS inLCDEX
  21. ereloidis (hoc est, Peripheria circuli genicoris) minus 3Z geni-
  22. coris circuli. Adeoque (cum, per 5, superticies ejusdem con-
  23. vertione circa AF descripra sIr 3Z geniroris circuli) superticies
  24. dux ab eadem curra C A Ag. 8. descripex, (alECTA CIFCA AF.
  25. alcera CIrCA C F,) Cimul CumPEX, Xquane praecise duo quadraca
  26. balis inceerx crcloidis sive peripheriae genitoris circuli. Puca, (1
  27. uc in fg. 22. incra semissem quadrari cujus lacus intelligatur
  28. 2 P, delcribatur semiparabola aeque alca, balin habens 2 D.
  29. dirimetur semi quadratum illud in duas partes, quarum alcera
  30. uni; altera reliquae, superticierum illarum CurVaTU aQuaEUF.
  31. Sin converri incelligatur, illic tota A CD, semieroloidis AC
  32. duplas hic vero ejusdem item dupla, nempe AC intra balin con-
  33. cinuara donec productae C. F occurrar; pro Cemiparabola ex lemi-
  34. quadraco, integra prodibune parabola _ guadratum.
  35. 27. Completo aurem parallelogramo Fa Ag. 8. Dua C A
  36. curra, circa Ra conversa, describitur superticies, est aequalis ei
  37. quae ab eadem circa A F conversa describIEuE; (pFOPTCE A S
  38. AT:) Oux dutem ab eadem circa C a converta describitur, est
  39. dimidia illius quae describitur convertione circa AF; (ProPIeK
  40. Or duplam rectae D g.) Ec universalirer superficies quae d curra
  41. Supersioies
  42. conversione
  43. CireaC F
  44. descripta
  45. E18. 12

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 44. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0060?run=74