Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 30r
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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One image of two folio pages side by side, registered by the library under both labels (also fol. 29v); this page is its right half.
The machine reads it as
- co (0) X.F scil
- A - n =
- X - X+ = pX. X. 1
- u
- vtr h
- quaentur X
- quaeritur qualis sit relatio ista e
- X. X 1+Z
- X. X 1 sit B, et X sit O D . X 1
- D: () = n X
- (∞) (7 F. X
- O- A (∞) = D et et X. X=, log n= log. D.
- seu log3 - log (D) =) 2X log. n et
- fiet X= log D- log D): Elog. n Ergo Elog. D. = log 1) logD - log() - 1 = log. V
- quae est relatio generalis inter, D et (D,
- C - (0) = D et (0) -(()) = (9)
- X. X =1
- pr. X1 seu 3 - (1) = _ n
- (4) nea 1- 2t
- 2. logn
- l aD - d2 = , XX E 1: n - n - 1 + n =+1
- X
- Si renuntient A sactur 1, 3,7 13
- Ed an hoec
- edant
- suo
- XFI. X
- similiter g(. X.1 + X XF RX+1
- erqu
- 21
- B jactui 25=10 17
- nenter aliquid perdidit
- Ergo a - n + n + n + n est ad b = e n + n + n erc: ut a ad b
- a + b. 1= n = 1)
- a = n - n 4 n - n + n -n
- 6
- et b
- 1 - n b = n - n + n - n + n - n et
- et fit a2 ( sit n + n + n erc = O et n + n + n = D.
- fiet a = 0 : b - D:: a: b seu (ab) = 0b = (a b) = a Ergo
- fit a: b :: O: D
- rursus In i= n a = O - D et 1 n a+b =1
- His inter se junctis aequationibus fieret D = O - na = Ob: a
- ergo fieret. O = i=naa: a - b. sed b = 1: 1 n - a
- E Ergo habetur relatio inter C et a, sed nondim nova inter a et b
- Et quidem dubilo de tota ista rationuade
- = XX - X + XXAX - 7
- 1IX XHX
- ec
- = n n = p 1: H - n
- XX - X XX + X
- ex
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 30r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0059?run=74