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. 82

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. e CLodd
  2. Fermario paulo anre disserveram) hc se spatium hoc Cissoidale ex
  3. noltra Infinitorum Arithmerica suppedicare posem.
  4. Id ieaque larim. qui fieri poitie, sequenei demonstratione in-
  5. dicabum; quam non pisebit hic repetere.
  6. Si ducantur rum Z C; H diateter, cum rectae R C, & H Z
  7. F18. 22. (diamerrO C F in L. OCCUEreNS:) Ollendic PappuS l. 3. P. 5. PrO.
  8. PEer cum Z Z bisectam in FI, CuM ZK in C, rectam K Z
  9. rectae GHI parallela esse: AdCOQUE CUM Z C K anoulum in
  10. Temicirculo, cum angulos ad L, rectos esse: EF consequentet re
  11. Ctas L F, L R, L C, L Z, concinue proporrionales. Ouod qui
  12. dem non minus valec de puncto 2 quovis in Cintoidis concinua-
  13. TIOnC exEFA FemICIECULUM, quam (qui P apPi casuS etF) ubi inEra
  14. semicirculum contingit.
  15. POnAUS jam rectam F C diamerrum in aequales parceS nU-
  16. mero infinieas infiniris punctis L. dividi. Frunc icaque omnes
  17. CL, VE Z, 2, 3, 8c. arichmecice proxortionales, quae succes
  18. Sire dicaNEUE, a; QuarM maxima C F dicatur D. FrIEque L H.
  19. (quippe media proportionalis inter C L. _ L F, hoc est, inter
  20. a e D a3) N: a D = a. Cumque SIE UE L H ad L C, sICLC
  21. ad L Z; erie LZ-
  22. ad
  23. N: D, ad
  24. AVC
  25. V: a D a
  26. hoc et V aXV: D - a
  27. sive
  28. Na vel V, . HIOc est, omnia qua-
  29. V: Da
  30. a
  31. draca L Z, Cune series Tercianorum, per seriem Primanorum in-
  32. verse politorum, respectire divisa: iplaeque L.Z. rectae, in horum
  33. guadratorum ratione subduplicaca.
  34. Quod aurem omnes v p hoc est, omnes J. Z. spacium
  35. FC Z A F complentes, ad omnes V: a D = a: vel V ax .
  36. D un a: hOC est, dd omnes L R complences semicirculum, sine
  37. in ratione cripla; ex principiis Arithmecica Infinitorum (IC col-
  38. ligimus.
  39. Si series subsecundanorum sire aa, in seriem PrImAnOTIM a
  40. inversam (hoc est, inD = a) respectire ducatur, fiet series D V a
  41. a Vasire DNaL Vat; quae est ad seriem Aqualiu Fiveco.
  42. tidem D Y D vel Y D, uCZ = 3 ad X, sive ut 4 ad 5. (Det
  43. PTOP

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 82. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826605435:0102?run=74