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. 114

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: 0.84.

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The machine reads it as

  1. Curvarum EudovoS,
  2. Exempli gratia. Si S= 2 (quadratum delignans) adeoque n
  3. 431 = 3, _ XC = 3 L: erit
  4. S: a + 2 a K: at +4a K+4a X
  5. Adeoque Trilineum ad circumseriprum ParalIelOSTAMMUM; nE
  6. EA + 4D K, 4A Z X:
  7. 5L
  8. 4I.2
  9. 3F2 3 dd AY = VDF ~; Sive, UE
  10. 5 D+ +O K +4 A K ad L VEDY
  11. Ei 5 = 3, adeoaue n == 6, _ i = 5, _ R = E, F: FrIE S: a
  12. =2 a K: a + 6 a K + F2 at K + 8 a K: Aceoque Trili-
  13. neuum ad circumscripeum Parallelosremmum ut Z ∞ + a E K + 2 Z
  14. D+R~ + 2O K, ad L V D L0. EC in reliquis similicer.
  15. Sin n 2, adCoque EuM S, tum i, = 1, Porellarem primam
  16. delionans, mulciplicatione OpuS HON CrEC; (cum ipsa quanties ex-
  17. Polica, ejusque poceltas prima tancundem lunc:; sunt icaque om-
  18. nes p Cerilineum complentes,) omnibus a2 F2 a R Eigill cim
  19. Proporcionales, hoc est, ur cuadraca ordinacim-applicatarum in hy-
  20. Perbola; live, uc ipsxe recta (diameero parallela) in complemeMO
  21. trunci parabolici, (quod nempe cum ipsocrunco complet cir
  22. cum scriptum paralteloorammum,) quae quidem rectae, quadratis
  23. ordintim axplicacarum in hyperbola sunc provorcionoles.
  24. QOries reron eltnumerus impar: adeoq; sHIeTO INtCGTO nO
  25. d: a + 2 a
  26. asTignabilis: PrO
  27. =p=. QIX casiI, liCCE R x s quadratuTX capax nOn (IC, adeo.
  28. que ec A O seduisccos: FH camen Conoides, iltius converlione
  29. circa R s, maenicudinis norx; adeoque ec complanari Porerie
  30. superficies curra conoidis quae recta AO circa AD describi-
  31. tur. Sed non e exinde, proprerca, exhibebicur etiam semi-
  32. Supernerer C. Onoidicx momentum respectu axis. Ouories vero
  33. eit mumerus parS Forerum ea omnia extriberi. Aeque de his hacte
  34. nuS.
  35. Denique, ut corum hoc de paraboloidibus negorium simul &
  36. semel absolvam. Sie nnumerus quilibet, m= n FX, i= n- X,
  37. SEque Z = 2 X, _ 1 = 2 1: delionet aurem ipsius n ad m resDe-
  38. Ctus, cuora xoreltas dinmeeri quocxe ordinacim applICAEX POrel acE
  39. PTOPOF

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 114. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826605435:0134?run=74