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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. 48

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: 0.88.

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The machine reads it as

  1. ltC22
  2. momentum (respecta ejusdem cC) incegri prismatis super ea-
  3. dem bale, alcicudinem habentis rectae A C aequalem, ex puncto
  4. A suspenti. (Omnes enim Z V ductae cum in C Z = 2 a PFOPTCL
  5. distantiam, cum icerum in eandem CZ. = 2 a proxrer alcirudi-
  6. nem diltancix aequalem, tancundem est acque in q a: e simili-
  7. ter, eadem oinnes ductae rum in alcicudinem maximam, cum ive-
  8. rum in maximam distanciam, cantundem est arque in quadracum
  9. AC ductx.) Hoc est, (proprer binarum tourarum parallelas
  10. rectas proporcionales,) uc momentum ejulmodi porcionis prisma
  11. eis super crilineo BcC Ag. 7. in Puolicu, ad momentum similis
  12. prismaris inceori ex puncto C suspensi respectu rectae Bb. Ouam
  13. rationem (c inveltioamus:
  14. 26. Distantia Ceneri oravicaris Triliniri BB C A9. 7. et con-
  15. sequenter erilinei BCC, d recta Bb, sic colligieur. Ouadrancis
  16. ODCHg. T. vel 8. centrum gravitatis a recta C D distat
  17. D.
  18. D 3
  19. (quancum scilicee a centro circuli distat cenerum gravicatis sem-
  20. circulis) a rectaigitur A F distac,
  21. 2 D2
  22. D + ZD; quae distancia in
  23. ejusdem quadrantis magnicudinem D P ducca, dac = D2 + 5
  24. D P, MOMCHCUM QUadTAnEIS G D C PESDCCEU FCCEX A F; cui (I
  25. addacur momencum crianguli CbF, (Factum ubique ex magni-
  26. cudine in distantiam centri gravitacis) = D = Z R= X Z R, Ba-
  27. becur = D +, = D2 P momencum sectOris F bC reSPCCEU A F
  28. TCCCR.
  29. 27. Flt aurem momentum quadrilinei BB F C Ag, T. ad mo-
  30. mentum dicti sectoris Fb C (respectu ejusdem A L FCCEX) uEC
  31. ad 2 (Per S 26;) Adeoque momencum quinquilinei BBF bC
  32. Ho. T. hoc est quadrilinei BBF C Ag. 7. ad idem sectoris mo-
  33. mencum, ut 3 ad 2; adeoque 5 D2 + D = P.
  34. 28. Unde si auteracur momencum parallelogrammi BF:
  35. nempe sDPx = D =, = D = P, manebir ED + 6 D2 P mO-
  36. mencum crilinei BbC (Hg. T. vel 7.) respectu recTE AF.
  37. 29. Hloc aurem momentum, per erilinei hujus magnicudinem
  38. R= = D2 divisum, dac ZD + F P distantiam ceneri gravicaris
  39. dicti erilinei BB C ab A F rectas Adeoque P ejuldem distan-
  40. tIam a Pb: EE consequenter = D = X ,E P = a D P momentum
  41. diccicrilinei Bb C respectu rectae Bb.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 48. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0064?run=74