Philosophical Principles Of Natural Religion, fol. 33
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
- naloi
- dotche
- viz. dil
- equene
- Octiin8.
- 8. and
- ochins
- nfinitelu
- a PrO
- eguene.
- Y n ∞ 5e
- he Se-
- be 1.
- ∞
- (mall
- OF cho
- BMEInII.
- Deip e
- A. last
- equal
- equalto che sum oF anorher Progressien
- beginins ac a differene siven Ouaneier.
- andgoine on in a disterent Ratio, Suppole
- chetrst Term oF such a Progression =, chic
- Ratio Ot ehe TermS, a e0 1, ehien in chaE
- Calo, boch cheir Sums must ac last bc c.
- qual, viz
- 2
- m 5
- p2
- = and consequency
- ; Tor Exemple, it r t0 s, be
- supposed, ad 1 EO L ehien a - 1 - L r =
- 13
- and cheretore che Geometrical PrOGrecTiOM.
- concinually descendins, 1 +-
- Qc. in infinitum,
- 2 +
- 8
- a
- 2
- 9 27
- 1C
- 83
- 313 CC.
- because boch cheir sums are ac la s equal
- e02. And ehus an Infinire Number ol
- difterent Seriess may be found, beginine
- at difterent Ouanciries, and going on in
- difterene Ratios, Wrhole Sums, may BC aC
- Las all equal; For il vou pur, a Gnanciey
- lels chan cheSum, For the hrst Perm of che
- Series, and oF the Ratio oFche Terms, and
- puethe second Perm ot che Ratio unknoa,
- and chers collectirs chie sum oP such 2 PiO.
- ulicis
- C
- prection,
Cite
Philosophical Principles Of Natural Religion, fol. 33. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0473?run=74