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Leibniz-Handschriften zur Mathematik LH 35, 10, 14, fol. 5v

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: 0.86.

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The machine reads it as

  1. jam SB: BF:: sB+ BH = =. sit SB. F = 3B. BF + BF. Ba Ergo fiet
  2. SB = BF. BH : CF-BF seu SB = SBC + CF2. BH : CF = SBC+ CF2. ubi BC mtdi l
  3. incognitam nam BC = BH + CH et CH = yC: g - 4. ipsa autem BI datur quam
  4. vocabimus t porrodatur BE quam vocabimus . fiet ergo ut BE seut ad BF ita BN ad se
  5. Engue pN = 5B. : BF. javit datur BL seu BH v L, - HL seu l Ergo BL = h - l
  6. seu BR = BHC: CF - BF
  7. 6, et, fiet
  8. 13H = y + 6 - b. porro datur UL, quam vocemus l fiet BL = y + C - b = l et fiet
  9. NL = yacab BN - BL = y + c - b C: CF_SH, +C (SBC+ CF seu) - SBN + CH ECF
  10. - 7+ c - b - seu NL = y + c - bC: r - 1y + c - b + yc: q - q + rY - y + c - b - l
  11. jam LB est ad NL ut pondus et in E quod vocabimus P. est ad pondus in E et
  12. pondus globi quod vocabimus simul, seu LP ad NL ut p ad p+ g
  13. landem fet LP = y + c-b e9. r- sytc b t yc. q- q +rr -yte bel P. Br
  14. Et AP= 7 +c- bC: r- Sytc - b + yc: 9 - q + rr - y + c - b - l p0 p19 = y+ C-
  15. quae AP debet esse omnium possibilium minima vel maxima
  16. ensb Quoniam autem compenidii causa multa possumus assumere
  17. pro arbituro. ut magnibudine in ipsius AB seu rectae b, iem ipsius BE, seu
  18. rectae e, ilem ipsius radiu Y hinc formula ircationalis reddi potent
  19. extrahibilis Generaliter pro _ytc substituatur v = AH et
  20. pro yc: qponatur B- C c: g. ita formito extrahenda erit
  21. v= 20b +bb + v = 2BC +cC c: g - 2v - c c + 99+1. seu
  22. VD + -2b - 20:49 - 2C: 1 + Cc: 9q V + bb + c: qq + reC + 44 trY : 1 + CC: 99
  23. quae ut fiat extrahibilis _si bcomparemus cum vV 2kP + KX debet ess
  24. (8b + c.49 + C: 1 + cc:g9 = bb + ct: 9q + 2cc + 99+ rr : 1 + Cc: 99
  25. cl

Cite

Leibniz-Handschriften zur Mathematik LH 35, 10, 14, fol. 5v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068167:0010?run=74