Philosophical Principles Of Natural Religion, fol. 45
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: 0.77.
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The machine reads it as
- lb2
- F1
- 1
- 19
- lanocher
- may be
- 31122
- 3
- X 23 and
- eIt
- dins, inc
- infinite
- AlLThen
- bjection
- AOnS, 2-1
- SrWohotels
- luwrhiche
- and yet
- cheir
- 3D
- Matural IC
- cheix Sums are suppos d equal, or in a given
- Ratio eo lone anocher; For Exemple, hom
- the Series 1 4 2 + 3 + 4 + 5 + 6, 6c.
- conrinued to ∞. Could be equal. 10
- ∞
- (112 7 e
- 2
- 2
- ∞
- Eec. concinued rill
- ehe Number oEche Perms become equal to
- ∞ 1. TIOW 1. F 2 ] 4 + 8 = 16, 8C.
- concinued to ∞. Thould be equal 10 2 + 2
- 32, = 2, +, erc. concinued eill che Num-
- bec ot Terms be equal 10 e 1. HtoW che
- Sum ot 1 + 2 F 4 F 8, Gc. concinued e0
- r. Chould be bur chechurd pare of chesum
- Of,1, + 5 1
- Y
- 5:ec. concinved 10
- Sinee all che pares ot che Frst crro Rquations
- are unequal, and che pares oE che chird,
- have no such Proporrion, ascheir Sumsare
- supposdrohare. In Ansverto chele, lec
- us Consider, r. chac chere an infinite Num
- ber oF Seriess, trhole sums may actually
- infinite, belou an infinite Number ot Uni-
- cies, asell as abore ir; For Fxemple, 25
- aboretan infinice Number of Unicies, chere
- isan infinice Number ot eros, of chrees et
- etstra Sns. adri ustonosibas FOM
Cite
Philosophical Principles Of Natural Religion, fol. 45. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0485?run=74