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Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2, fol. 111v

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 112r); this page is its left half.

The machine reads it as

  1. Imo etsi more sartesii compares aequationem cum
  2. duabus radicibus aqualibus, res non succedet.
  3. jam vides eiorem si AB. et BC aequales non, nisi
  4. uno modo eligi potest punctum B.
  5. AD + DW seu AW aequ. b
  6. DBaequ. _ 3.
  7. AB aequ sX 131
  8. debent esse
  9. VE+ EC seu WCaequ. C
  10. Ad aequx est data.
  11. BC aequ. b - RX + X + c= 2Cy + st
  12. Ier ACr b- abX +X + C. 2C9+ 8 aequis
  13. omnium possibilium minima. u sunt dane
  14. omnes literae sunt datae praeter solam
  15. Descuipta ergo intelligatur chiva F. cujus ordinatae
  16. Nd. DB repraeseiient horum rectangntorum aggregata, s.
  17. moricua
  18. minima cr figurae stitudo. Ideo quaeratur primum tangens
  19. 14
  20. quae
  21. currae dein de quaesitur tangens ipsi axq DB parallela.
  22. quaeritur ergo as est autem a ra aequ val etta
  23. = Na Y sa +b aequ. ds. seu + tarb -espat ab
  24. seu aequ. d, seu 2a + b - as au 2a + ab.
  25. adesque (a +4 ab) 4a ds- 2b a2
  26. sergo
  27. d
  28. n
  29. aequ 4a
  30. + 4Y
  31. aequ (44 + 4ab
  32. Ce uinit a + ratbrgo e. seu fra ego e f rarb
  33. ergo (a) aequ e 4 2C Va +b + (a + b
  34. vel Freratb aequ. b+. Ergo HC a equ
  35. seu e aequ.
  36. 2Yxa

Cite

Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2, fol. 111v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068531:0222?run=74