Philosophical Principles Of Natural Religion, fol. 55
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
- andeia
- bexot
- re Area
- Bberbo.
- onticts
- RC. in
- votrich
- ot THC
- SC, VetS,
- an M.
- in che
- an che
- e
- ve af.
- sCate,
- Terms
- an the
- ippose
- role 4.
- in ehie
- la
- D
- e
- amibex
- Dt saturat vet
- Numbercot Verms in che ochers, wrhrole
- Equal PaTIS are n 1 + n
- u
- 1
- n- +
- ec. WHerE 2L p be equal 10 e,
- chen e muse be grearer chan a. Buc che
- Pruch oF che Maccer i5, chac chelurencion,
- Or che Cround oF che Discorerr, ot chele
- equsl Pares; in chessimprocical Space oF chele
- Fyperboloids, is chac cher all Aop, in cheir
- yrequal Proprellions, dc ∞ 1. For Fxem.
- DC, in che deries I f n + n L n3 ) n+
- L n, esc. in infinitum, ertich expresses che
- semptocicat Spaces AYF D C, the Invenriot
- oF ies infinicely (maII ParE - depends up.
- On the Supposicion, chac all chele Series sAop
- ac ∞1, and 80 no turcher, Wrhereasro sive
- cheerue FIyperbolick Spaces, cher must be aIl
- supposd, 1090 on, an equal Number ot in-
- finite Times. No lome ot em, divergine
- lalter, chan ochers, (chole, viz. Wheren is che
- oreacest Number) arrive ac co i Tooner, and
- (0 by chele means an infinite Number oFchie
- equal parrs, obcain d upon chis supposrion,
- cannoc be cqual ro che infinitet umber ot un-
- egual parrs wrhich constirure che area; thus
- D d d 4
- +
Cite
Philosophical Principles Of Natural Religion, fol. 55. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0495?run=74