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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. 41

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. DF CTCLOTDE.
  2. licer divisa:) ipsaeque rectae Z V A9. 50. hoc est 2L. fg, 8. sive
  3. arcuS Z C, hoc est arcus chordarum in Temicirculo (vel linuum in
  4. quadrance) arichmerice provorrionalium, ut rectae VZ crilinei
  5. BC cA∞. 7. (NTam sicuE FeCta . Z Hg. 7. hoc eltrecta L ZH∞. 8.
  6. aquaEuT arcUI Z C, SiC recta Z V Ag. 7. Gua una CuM Z. Z COm-
  7. pleE EOTaM V Z BB, hoc es b C arcum quadrancalem, aequa-
  8. cur arcui ad quadeantem rehduo Z. B, cujus linus rectus est YB
  9. B V Ag. 7. adeoque omnes V Z crilineum BC cAg. 7. COm-
  10. plences, aequalibus distantiis sumpex, sune uc aecus sinuum arich.
  11. metice proporcionalium in quadeante, sive chordarum aequalirer
  12. crelcentium in semicirculo; hoc ett, uc Z. Z Hg. 8. corresponden-
  13. tes punctis Z aequalibus incervallis in curva C A sumpEIS:) FruHE
  14. omnes VZ crilinei CZ A F A9, 10. dd F A coties POLItaM, hOC
  15. est rilineum illud ad circumscripcum parallelogrammum; ut eri-
  16. lineum BC cEg. 7. ad paralleloorammum circumseriptum sibi
  17. (FC illius partes parribus hujus respectire sumpris proporciona-
  18. les.)
  19. 20. Triliniei aurem BC cHg. 7. (auc etiam partis hujus cu-
  20. jusibet) mensura, habetur ex calculo 523. Est enim Bb = Z P
  21. E bC= R; ergo parallelogrammum BbC c= = R P: erili-
  22. neum autem B C B RE (uT 5 76 dictum elt,) ergocrilineum
  23. reliquum BCC= Z R P = R 2 = ZD P i 2 3. (HIOC eA
  24. a A F un ZC F inC F.) Unde X crilinei C F A mentura colli-
  25. BICUE; Quippe ipsiuS OcTuPIa, (PTOPTEF A F = Z P, E R C 2D
  26. 4R, adeoque paraIlelOBTAMUM F C. L 2 RP,) nempe
  27. 2 R P in 8 R = vel D F 2 D2. (EE parcium Cimilicer men
  28. Fura, mucaris mucandis, eodem modo collioieur.) Momenrum
  29. IEaQVE CUTVX C Z A A9. 8. respectu rectae C F, quancum ad di-
  30. Ptantias Z 2, esec ad ejuldem curvae momentum in distancia F A
  31. Tuspensx; ve CZ A F Ag. 20. ad circum scriprum parallelozram-
  32. mum; hoc est, uE D P i 2 D 2 ad D P, CIVe UE P 2 D 2d
  33. P; hoc est, uE A F C F ad A F.
  34. LF. TuM verO, quaneum ad dictantiaS Z Y Ag, 8. (quX CIrUI
  35. cum Z 2 complent inteoras Z Y,) hoc ett, Zu (bilinei A C v)
  36. A3. 20. Cum rectae C Z Fg, 2O. hoc esCurVa C Z FB. 8. FINE
  37. ue chordae C 2= a: erunt respectivae 2Y: ( Z. v H9, 1D.)
  38. V: D2
  39. Nam (Propter similia criansula) uE C F = D,
  40. 2
  41. Fi8. 10.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 41. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0057?run=74