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Leibniz-Handschriften zur Mathematik LH 35, 1, 3, fol. 5r

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: 0.92.

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. 6v); this page is its right half.

The machine reads it as

  1. prop 24 si duo Triangula (ABC, DEF) duo
  2. latera duobus lateribus aequalia habulrint (ABipsi DE,
  3. et AC ipsi DF) angulus verd ta alterum vero
  4. angulum et alteriustrianguli (ABC) angulus (A sul.
  5. aqualibus lateribus comprehensus, sit
  6. major
  7. usi (quam D) etiam basis ei
  8. subtensa (BC) major erit alterius basi (EF
  9. Enuntiatio clavinna non est castigata satis
  10. Haec propositio plane non indiget probatione.
  11. Nam si latere AB manente immoto BC AC moveatur
  12. ad a versus AB simul angulus et intervallum
  13. minuetar. Nam praestal in _o in considerare unum
  14. triangulum tanquam ex alio faem. Itur
  15. demonstratio et facilis. s quaeramus ana lytice
  16. t pGminor quam BC ergo in hiangulo comtunni
  17. debeat esset
  18. debet BCG debit esse opposita angulo minomi,
  19. sea debet esse angulus C minor angulo BGC quod
  20. est verum, nam C aequalis anu ipsi AGC (quia
  21. quia triang. A CG isosceles) et GC minor quam BGC
  22. pars quam totum. Haec demonstratio est analytica
  23. ubi ab eo quod deminstrandum est venimus ad certa
  24. demonstrandi principia
  25. prop. 25 est convers iisdem positis
  26. si basis major erit et angulus ei ippositus
  27. uni
  28. sou est opq demonstratione separata
  29. usspda contineatur. ane quae monnimus
  30. una
  31. ul
  32. ad prop. 19. Nempe una eademque propositio
  33. est 24 et 25 quae ostendit duobus hiangules satera caequalia habent idus aequaria duobus laseribus
  34. triangnta, vel duorum hinnyaioem lateilus magnit latem magnituduibus
  35. existentibus corbus onfes et angulos subi mon in a reu e
  36. angulum et majorem basiu conjuncta esse
  37. Mro
  38. AB
  39. AC transferendo in AG et E ABC facendo
  40. si erit angulus B AG minor,
  41. et angulo B AC,
  42. et basis BG triangulis BC minor
  43. iasi BC trianguli ABC
  44. FHanc Euclides demonstrnt
  45. ope praecodentis et Clavius
  46. habe pro conversa. Sad

Cite

Leibniz-Handschriften zur Mathematik LH 35, 1, 3, fol. 5r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067962:0009?run=39