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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 124v

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. 123r); this page is its left half.

The machine reads it as

  1. sinus est media proportionalis inter radium, e parallelari faxi
  2. parabolae
  3. ins
  4. 15. 1. R9 15
  5. 1. 4 ey 12
  6. 16.9
  7. 16- 16 R9 0
  8. Figura conflata ex quadratis sinnum; aequatur cylindro
  9. cujus basis est quadrans, altitudo radius.
  10. Eadem figura conflata ex quadratis smnum, in est ad
  11. Chemispharis figuram conflatam ex circulis quadrantibus eorundem sinnum
  12. seu ad quadratem) ut quadratum ad quadrantem inscriptum fasum
  13. esto quad rans X radius a. Erit figura conflata ex quadatis
  14. sinuum Xa. At figura conflata ex quadrantibus 2Xa
  15. esset ergo quadratum ad quadrantem, ut 3. ad 2.
  16. Ergo porto quad ato 3. erit Radius A9 3. radio a
  17. cum quadrans fiat ox radio in semiquatrantem peripheriae
  18. ducto, ergo Axa posito quod rato 3. erit Radius
  19. R4 3. quo si dividatur quadrans 2, et productum
  20. duplicetur, habebinus, circumferentram arcum quadrantis
  21. s credere fas est:
  22. 2
  23. LR43
  24. 2
  25. 1 BR43. BR43
  26. .
  27. et arcum Circuli L Radio posito R43. et diametro
  28. 16
  29. R43
  30. Rq12
  31. peripheriam
  32. Rg 12. Ergo ratio peripheriae ad diametrum erit:
  33. 16 16 quod est absurdu
  34. R43b
  35. Falsum ergofiguram conflatam ex summis quadratis sinuum esse
  36. RqN
  37. ad figurum conflatam ex quadantibus, ut quadculum ad quadrantem.
  38. Ergo valde cavendum ne indivisibilibus abutamur.
  39. 16. A17 20 24 19
  40. Y2 16 520 424 420 432 436
  41. 4 9 16 25
  42. R 1. 2 3. Ag 5. R9 7. Rg. 9. R_ 11. 13 15. 17, 19. 21 23. 25
  43. 10 + 4

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 124v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0248?run=74