Leibniz Legible

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. 17

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: 0.91.

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

The machine reads it as

  1. DECrCLC+
  2. FC craneunce plario elliprico F CB, quod plano F C c recte in-
  3. Sistat; cum denique plano bali parallelo en; reliquaque constru-
  4. aneur ut in schemite. Dico primo, Cylindri porrionem plano
  5. elliprico abscistam F SCc C, per omnia aequari semianuio ex-
  6. Polico, dempra curvacura. Nempe rectam C c aequari semicir-
  7. culo a puncto C descripeo; e timiliter rectas Y v, 2G, (Tum
  8. Deis ubiris inbase Cplindri respectiris punctis Y2,) semiperiphe-
  9. riis punctorum similirer polirorum in semiannulo; item X E Pa-
  10. rallelogrammum, semisuperficiei cxlindricae recta Y Z in annu
  11. lo descripex; Ex sic ubique. Nec aliter differe haec porrio Cy
  12. lindrica ab illo semionnulo, quam quod semisuperticies cylin-
  13. dricae omnes rectis Y2 in annulo descripex, in porrione Cy
  14. lindei in planum expandantur; adeoque haec Cxlindriportio
  15. cantondem ralet at que Pemiannulus dempea curvitace.
  16. 57. Centrum autem graricatis in expolica Cplindri portione,
  17. SIc colligitur. Si ponamus Cc lineam aequilibrii (adeoque pla-
  18. num huic perpendicularirer intiltens, aequilibrii planu;) e-
  19. rune, cum alcirudines X0 ad invicem, uc rectae F Y; cum di-
  20. Ctanciae ab aeguilibrii plano, uc YC; adeoque, quae ab ipsis f-
  21. UnE, uE recangula F X C, hoc est, ur quadrata YZ; quae quidem
  22. in iptas Y2 ducta, hoc est, Facta ex basis in alticudinem ex di-
  23. Panciam concinuo ductu, hoc ett, Planorum Y E MOMeNEA re-
  24. spectu recta C C, sune ut cubi rectarum Y 2. (POr momentum
  25. aurem, cum hic, cum pastum alibi, incelliso factum ex maenitu-
  26. dine in distinciam ab aequilibrii plano ducta: UE guX mOmenEIS
  27. Eune proporcionalia.) Sune aurem omnes cubi rectarum Y 2, ad
  28. coridem cubos rectae C F; hoc eM, momentum F YvE CC
  29. porrionis lemierlindri in suo lico, ad momentum Parallelexipedi
  30. aequealci balin habeneis quadratum F C ex puncto F Suspen; UE
  31. 32d32∞; C ubi per x 2d D incelligo rationem circuli ad qua-
  32. deatum diametri, sive uc Pad 4 D;) quod mox probibituE
  33. 563; adeoque, ad momencum Cylindri parallelepipedo illi in-
  34. Ecripei similiter (u(zen(, uc 3 dd 22; (substicuris scilicer circu-
  35. lis pro diamerri quadratis:) FE PTODECreA, IOMENEUM FEECC
  36. Poctionis incegri Cslindri in suosicu, ad momencum Cplindei
  37. sic Tuspen(, uE 3 ad 16. Elt aurem magnicudo ad magnicudi-
  38. nem, uc x ad 2. Frgo, distancia ad diltancia, uc 3 2d 8. Si
  39. irague diridatur F C In 8, uE sIE C 8 ad C F vc 3 ad 8; e du
  40. CaEUF

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 17. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0033?run=74