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Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 124

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: 0.78.

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The machine reads it as

  1. EL. II. LDCLIOTS. Cap. XXIII
  2. C2. Si recta (Z.) Secetur in sesmenta aequalia (5, S,) e imaequalia (A, F.
  3. vel 5= V, S- V,) rectanculum seementis totius inaquandas complenen am
  4. (A F,) una cum quadrato rectae intet pancta sectionum (V :) aequatur quas
  5. a
  6. =E, (adcogle A - - S = V =S = L.) LNIE AL. F 9 = 59. Vel (in nu-
  7. meris) (172 = 6 +6 = 8 + 4; adeoque 8 - 6 = 2 = 6 -- 4. Erit 8X 4 + 2 X 2
  8. 56X6.
  9. arato dimidiae. (S9.) HlOc Cst, Si Z = 2S = A F F, sicque S L V
  10. = AF. -
  11. (C2 S recta (2F.) Bifariam secetur; eique adjiciatur in directum recta quae-
  12. dam (X:) Rectansulum quod rota cum adjecta (2. F. + X quae dicatur Z.) es ipsa
  13. aject X.) comprehenditur (T. X;) simul cum qudatalo dimidia (L 9:) aeque
  14. (A4) quadrato compositae ex dimidia e adjecta; (F. f R, quae allatuF A.
  15. numeris) 113 F 3F 4 = 20, e 3 F 4 = 7: CritXOX4 + 3x3 =7x7.
  16. Hoc est, si F F F + Z = 7, _ P f X = A: erit Z, X f F. 9 = A9. Vet Cin
  17. L.4.
  18. 10- -6 F 4
  19. Ex + X9 -K9 L 2EN F 29 -29
  20. F 4 -
  21. 12 + 76
  22. 1t
  23. 40 -+ 9 = 9. f 2.4 + 16 = 9 7 24. + 16 =40
  24. Sed et haec cum praecedento sic conjunctim esterri porest. Si ab assienato in ea-
  25. dem recta (uteunque continuata) punctoM, jumantur tum aequales utrinque re-
  26. Eta NL, MN, ium punctum D ubivis: rectaneulum L. DV aequabitur differen-
  27. tiae quadratorum rectarum AD, MIL. VeLND, M N. Ouod Sic ostenditur.
  28. ML =M N dicatur S; M D dicatur V. Duarum isituT D L, DN, Cubicun.
  29. que Tumatur D) alcera exit S F V (Cumma duarum S, V,) altera 5 e V) ditte.
  30. renria duarum 5, V, ) uc letemacis inspectu patet. Ideoque
  31. L N N
  32. t

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 124. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0144?run=74