LBr. 437 · Huygens, fol. 103r

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: 0.74.

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The machine reads it as

1. Ad Exes Hugem, F ebi. 1691
2. quaeritur quadratra areae, cujus ordinata est
3. yvaatyuia
4. (GBB
5. seu z
6. sit AC, a AD, y erit DE, Saa F yy
7. ubi in circulo est + est = et in Hyp. + est
8. erit (ydue taa fyu, nomenturum
9. ipsaru. DE ex axe AF seu monen
10. tuto Zonae BAdEB ex axe AF
11. jam in circulo erit BC, = a - vaam gy = X
12. et fiet yy = 2ax - xx. (nam (aa L 2aX + XX (ac - yy)
13. Ergo momentum triliaci BGEB ex AF Eyydx
14. X 2aX ax = q SXXdx = 1AXX = = X3.
15. 2
16. e
17. porro momentum rectanguli DGs ex AF, est
18. AD in DE. in LAd seu = yy saa-yy et
19. momentum totique zono BADEB componitur ex
20. momento trilinei BGEB et rectang uli DG. Ergo
21. ydus saa -gu = L axx = = X + yy daa-yu
22. est autem xx (acd va tace gq + ra gu Cen-
23. CX= aa = 2a Vaa-yu aa-yy) = 2aa -yy e 2a raa-y
24. ergo L axx = eda - i ayy = aaraa-yus
25. .1. L3
26. A= 2a -ayy- 2aa Saa-yy -2aa taa-yy + yy aangus
27. +24 - 2 ayy etq X = 4
28. Ergo sydyraa-yus
29. au
30. a
31. 3 lagu. 202a29y+:
32. a =aa raagus - =yy vaa-qu et fint
33. .39dg sal.9
34. e
35. raanqus
36. t
37. +
38. j saa-yy
39. sen
40. ∞
41. 3) yayu Laayus = a = aa-yyraa-gu. quod comprobemq
42. sit saa duu =2
43. sit fit 3ydys = 27 dy seu Bydy = Z dq quod verum
44. quia
45. qua dze = - ydy: Z (quic. Z= Vacagus) erg vera est ergo quadratura
46. quaesita
47. Unde constractio ducetur talis sit
48. A mmusemum
49. DDE EL= DB
50. M
51. etN
52. CN E 1E
53. Gum F

Cite

LBr. 437 · Huygens, fol. 103r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-3595205:0211?run=74