Philosophical Principles Of Natural Religion, fol. 47

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: 0.80.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

1. a iseile
2. a infinite
3. S OE, onc
4. Ole Sums
5. ∞ 2=
6. d30
7. un infinité.
8. hatloever,
9. cheretore
10. beequal
11. ries; ptio
12. boch have
13. aulc, the
14. be infinite,
15. chC OnEA
16. Cor Fixem.
17. C.) CoCI.
18. +2 2
19. umberet
20. hetort Se.
21. rtes
22. ries encreales Palt, and alvrays doubles chie
23. precedins Term, and (0 quiekly arrives ac
24. ∞ I. Whereas che sccond soes on ac che
25. Pame equable Race, (o chacchere is noc (0
26. ereac 2 Number oF Perms in che frst Series
27. 25 in the second; For lec che Wumber oE
28. Terms ol a Geometricat Progression continu.
29. ed, bc, t che Ralio oF che Terms r, chc
30. preacest v, and cheleast an chen rV = ar.
31. and+=
32. t
33. in chis Case, Wrherer = 2,
34. a == 1, V = ∞. C, BecOIeS
35. L∞
36. 22. NoW ie
37. is cerrain chacthe Loparirtm ot co, Isouly,
38. HDE infinitely lels, chanco; cheretore che
39. Number oF Terms, in che Arst Series, is Con-
40. Siderably lels, chan che Number oF T erIS
41. in che second Series. But Z. more parcieu.
42. Parly, in che drichmeticat Progrection ot na
43. Tural Numbers, beginins ac i and endins
44. aeo becaule chesum oF alI such is equat
45. eottie halF oF ehe Rectansle of the greacete,
46. into che sum of che Perms; cherelore +
47. F(2 +. 3 F 4 ]5 esc. concinued 10∞=
48. CoYCCMTL
49. because bochche last, and che Sum oE
50. 1LSi13 (3 de 1631
51. the
52. 2 12 1 3F
53. Loy. VL
54. L09.

Cite

Philosophical Principles Of Natural Religion, fol. 47. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0487?run=74