Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 779

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: 0.80.

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The machine reads it as

  1. PrOPXVIII. DeCalculo Centri Crasitatis
  2. Elludgue Solidi ABK momencum; ex Semieplindri AK Ba momento respe.
  3. FI
  4. ctiro subductum; hoc est (propier magnitudinem a R P, acque Diltanciam Cen. 169,
  5. iri graricaris a plano A rai eandem quae semicireuli d sua diametro,
  6. R
  7. p Der
  8. SO. PrOP. +5.) ex Z a RS: Relinguic Momenuim Solidi ABBa respectu platii
  9. Ara (erecti) 3aR C R + 16s R = AR3 + 3sR + 105 R = 3FR
  10. F 1o s) P. Adeoque (propter hujus magnicudinem La R F = a R + a sE R
  11. = = a RD = 2C fR, per 5. R.) Diltancia Concri gravicaris a plano Ar a,
  12. T2 f R= = 253 T2a R F 125 R~ f 2 5315. 1 L4111. 1
  13. 0a F = 9CF
  14. da F 94 f 953 L.b. 13 citL calo119B 3B 3rep Seu MotcB D.
  15. Fdemque Solidi AB K momentum; ex Segmenti Semicxlindri A R b B momento
  16. respectiro subductum; hoc est. (proprer magnicudinem LC a R F Za5V, et diltan-
  17. tiam Ceveri gravicaris a plano As e eandem qx Sesmenci semicireuti AB V, d
  18. diametto A a, 27 R + s v311.
  19. 30 R + 3502 P 5 R. proB. 15.) ex a v R + 5a 5 v = = a vX
  20. LSas2R F 3a SV: Relinquir Solidi a bB. momencum respectio ejusdem plani
  21. A Xa (HOC. elt, Omn. Z a s: Tumpris 2 arirhimerice proporrionalibus,) L L CR3
  22. + 5aVR +. 1853 R F Sa sVL_ Z a R B iq = sR3 L aV R 8aSR F 1853R
  23. F Sa SF V. CAdeoque (propier magnieudinem Z a R = Z a s R L L s2R
  24. YEa5VL = e R = = a5V, Der GY. ). Distancia Ceniri grariraris d plano A Fa,
  25. = T2 CR3 = +2aVR 2 =6a s R = 253R + 6a SV
  26. D0 R = +8a5V
  27. Toriusque Ara Solidi, (sire consideretur ut ABBa sive ut ABB,) Nomen
  28. rum respectu Ara Planii (PEOMTO A = Z (et A 2 R, e s =0,) 5R P; DI
  29. lindri ARPa: Fancundem ulique ponderat respectu A ra plani, acque cancun-
  30. dem inde distar; sive sic in sicu Ara sire iprellisacus PI5, id87 ip s A, A At
  31. replicata demiestindrum complere
  32. Sed d eadem qua jam Fradtuncur Solidi AB B mometiea, smiliier haberi p0.
  33. cerun s Cx Solid A BB ∞ Holmentis, ausexancur Solidi VB a B mertenta relpe
  34. etira creocsd ceor cirrostitu. el a olnu irislu
  35. Fst aurem Solidi BBa B magnicudo, = R, + E a R. F SS Rr 545U, (ut
  36. SL. ostenlum est;) ejusque Cencri pravicatis, ab, A a distancia 5 ai, AIGuE a F 4
  37. ec PA, quancum inde diltar Centrum, graricacis Sesmenci Seieireuli B l e; ac
  38. que ab Ar a plano, quancum ab Aa diltac iptius B V a plani Cencrum gravicaris.
  39. (elt enim, pec pCOB. 2. et s’hujubi medib siecta cenula srdvicacio oppotica.
  40. rum balium conjungenre: 1) cH9C, eAt n X T 45 R
  41. 3ts = ba + 6oK -
  42. SR.
  43. ia T. A, R
  44. 3AP=6aR + 65R 65 Plavo, A 20,
  45. vA + 25R = 252
  46. te
  47. 3aR = 35k f 35B 3RP = 6a R + 65R, = 5V
  48. : Adeoque niOmEHHIIH TespC.
  49. Atu A a, 52 = R = - Z a3 R + + a2 5 R = = a 5V; respectu T_ = a R2 F - = a = R
  50. FhaSR = = 45VR = 3a 5; respectu, Z, Ag 4 R E P = L a R, + = as R
  51. 2a52 R F 5a53; respectu plani A 7 9, 5G A) =3 aV R 6aS= R - = Ea 5 v.
  52. Flaec itaque momenia, momentis respectiris solidi A b B a Subducta, Relinquunt
  53. Solidi ABB momenta respectira: eadem qua prius extibentur.
  54. Eademque Solidi BBa. B momenca, momeniis respectiris ABB addica; extribe.
  55. bunc cadem quae prius momenta Solidi A BBa Fespectira.
  56. Solidoque bBr, eadem applicancur omnia quae de B R. A craduntur: Substienris
  57. ubique a pro an Bprov, ra pro Y A, _ r Y prO A∞. Simmiliuer enm iplis ra,
  58. T, adjacet bBr; aegne DR A, ipliS A L, A a.
  59. EFFFF 2
  60. Exhribuimue
  61. 270

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 779. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0799?run=74