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. 98

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: 0.87.

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

The machine reads it as

  1. Curvarum FutoroiS,
  2. hoc est, Cumpris cc intinire eriguits, curvae parsiculis quarum vel
  3. Tubcenlae vel cangences angulos Faciune sisdem m H L vel n R L
  4. aequales. Si tacisicur NIEL criangulum rectangulum, Cimile criap
  5. gulO FO D (f19. 26.) quod semiparabolae circumscribitur: Frieut
  6. Oirnes Rim, ad omnes Lm; lic omnes 00 srbrensae, hoc est AO
  7. curva, ad ornmes os vel d d difterentias, Boc elt e D diamebruIm.
  8. HiOc ect, (Tumpris parallelis i a = M HE, e M A = M L,) UE
  9. Omnes ma Chypeibola IEK, CjLSqUE COnIUGaEO axC L. BI INFEFCCPEX)
  10. conplences LRKX quadrilineum, :d omnes m L. complences LpN
  11. criangulum; sive, uc quadcilineum illuo, ad hoc criangulum; sC
  12. expolicae parabola curra A O, ad A D diamerrum. EF consequen
  13. cer, Dara pacabolicae linex lonzicudine, dubieur quadracura hyper-
  14. Bolx; e vice versa. Quod e cu aliunde obtervaiti.
  15. Vel Sceciam, (uc uno schemire tocum complectar,) (i FBE UE
  16. FD, ad D O, _ OF; sIC 1O vel Y A, 2d A R; eC I ~ = R Y.
  17. e delcribAEUT R n hyberbola, verticem habens R, CenErUIM A:
  18. _, CuPEA TA = P A, HaE A Y a criangUIUI: PFIE, UE A T X
  19. criangulum, ad A T X R quadrilineum; SIC axis AD, ad AO
  20. curram parabola Addo, Le parces parcibus respectire sumpes
  21. proporrionales esse: uc ex demonstratis patet. (Habec aurem h2ec
  22. Hyperbola lacus rectum laceri eronverto aequale, d ucremvis
  23. lateri recto Parabola requale, duplum aurem rectae AK: EAtque
  24. A, hyperbola cenEruM; IE, VeTTEK; A. T, AXIS CONIUGATUS; A X,
  25. ACHMEOEAS R S, axiS INTOTCEPEUS; SC SNL AT ordinacim axpli-
  26. Caca ba(IS.) AEque Bactenus de Parabola curva.
  27. Sed ex eadem opera, de conoidis Parabolici suxerficie judican-
  28. dum erit. Cum enim singulae rectarum co difterentiae, ad respe-
  29. etiras currae parriculas, sinEve Ex ad Ex, lincque in iisdem ab axc
  30. distancis: Frir uc solidum ex convertione A Ya crianguli, ad 50
  31. lidum ex convertione A TK K quadrilinei, cIrCA AR rectaM; HIC
  32. superticies ex omnium currarum co difterentiis lic conversis, ad
  33. conoidis superficiem ex convertis currae parriculis. DuX aurem ex
  34. differentiarum illarum, arichmerice proporcionalium, in distanciis
  35. item arictrnerice proxorcionalibus, convertione describitur; ad su-
  36. perticien cacundé arichmerice proporcionalium, in distantia ma-
  37. rima convertione descripram, (series Secundanoru ad seriem Pri-
  38. ManOTUI;) hoc etE, ad curram Cylindri circumscripei; eAt, ut 2
  39. ad 3. Erso, uc solidum ex A Ta crianguli conversione, ad solidum
  40. Cd
  41. F18, 28.
  42. Conoidis
  43. Pardooct
  44. spet saeso

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 98. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0114?run=74