Philosophical Principles Of Natural Religion, fol. 48
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: 0.81.
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The machine reads it as
- 48
- x
- Dhuocorhilal
- rinciples
- the Terms is co; then as For che Geomerri-
- cal Progrection ascendinq in infinitum, viz
- 1F 2 7 4 = 8 ec. usque ad ∞, IC is CVI
- dene, every Term here is equal eo the sum
- oF aIl cheFormer Y 1. and fince che la
- Perm 15 supposd infinite, or ∞o 1, there-
- Fore ∞o 1 = 1, I5 equal to the Sum oF all
- the Forexoing Terms, and cheretore che lact,
- Wich all che precedins, is equal 10 ∞ 1.
- ∞ 1 =i =. (by che Rules oF Addition)
- 10 ∞ 2. in like manner in che Ceometrical
- Progrettion concinually ascendine, trom 1
- e0 c. ini chie Ratio OF E EO Z, ViZ. 1 +. Z
- 9 + 27 esc. usque ad ∞. becaule every
- Term = 1, is double oF all che precedine
- Perms, and because chelast Perm is ∞ 1,
- cheretore che Sum oF all che PermS excePE
- ∞
- chelact, i5 = - 1; and consequenely che
- Sum oF che last, and ot all che precedino
- lerims, 15 ∞ 1.
- ∞1
- 2
- (by che
- Rules ot Addition) ∞o Z. Wrhere ic is obser-
- vable, chac che Series 1 + 2 F 4. ]. 8 e5c.
- continued c0 x p. is grenter, chan 1 7 3
- A
- et
- First.
- eve
- oFctic
- chC
- che Get
- Ane
- Ratio
- 5C
- SuM
- 3C
- che lal
Cite
Philosophical Principles Of Natural Religion, fol. 48. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0488?run=74