Philosophical Principles Of Natural Religion, fol. 46
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.
Original at the GWLB · Page image · Annotations (IIIF) · Download text
The machine reads it as
- 46
- Dhiolorhical
- tours, eoc. in infinitum; l0 belov an infinile
- Number oC Unicies, chere are an infinite
- Number ot halus, ot onc chirds ol one
- Fouretis, esc. in infinitum, aIl whole Sums
- are dcually Infinite, viz. 25 8boe
- = 1 F 1 f. 1 - F 1, ec. There 1S ∞ 222
- f 2 -] 2 F 2, e5c. and ∞ 3 = 3 Y 3
- 3, ec. and soForeh; (obelo c i chere
- 15 00 = f .- f f , esc. 21dd ∞1
- 2
- 2
- = in . L. , eoc. and 10 on, all wtrictr
- are real infinite vancities; Por an infinite
- Number, oF finire Ouancicies Wrtracloever,
- makes an infinice duancier; and cheretore
- che sum ot an infinite Series, ay be equal
- eo che sum oE anocher infinite Series; pho
- cheir paris be all unequal, and boch have
- an infinice Number ot pares, becaulc, the
- chedTumber ot pares in boch, be infinite,
- vec cher may be differene infinits, che Onc.+
- Crcacer, che ocher a Lels; chus For Exem.
- PlC, 1 F 2 + 4 + 8, + 16, c50. conci.
- nuedeo ∞ . may be equa l10 2 + 2 )2
- + 2esc. concinued cill all cheNumber ot
- il
- OR PA L.dA.
- pares, beegualeo 1. becaulechetur Se
- ries
- r
- precec
- ∞ 1
- Came
- OFCAEZ
- ca De
- A C
- LCleS
- LalC
- and+ =
- a .
- is celcair
- oc insi
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Cite
Philosophical Principles Of Natural Religion, fol. 46. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0486?run=74