Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 178r
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.
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The machine reads it as
- Er
- E A pXAC XaVaC EgeagXb
- in diario eruditorum Gallico 3 jul. 1690 proponitur
- problema invenire Triangulum Reclangulum in quo
- smmua cuborum laterum sit cubus. Roducit remad
- has duus aequationes: Fatera ponit b, a- x, Cx: d = b
- Ex natura trianguli rectanguli poodit a - 2ax + XX - ccHX + 2bC= 20
- Et excoditone problematis ves( a- 3aa X + 3a xX = x + 53 1. 3b cexx + 3 lb cx
- aequari cubo. aequat autem cubo ab ae, ut aqualio possit dividi per X,
- et faciendo adhuc a 3bbE - 3 aa = 0 imo c= t d bb caetera invenit,
- sed nonmnis qrodemat solum 2, 4, 5. Videtur nihi procedi posse generalius:
- nempe pu aeg. 2. scubatur a - 3aaX + ha XX -X + C X - 3bcc X 13bb Cx 2 a +3a exrsae
- od (4 s
- eu
- et fiet - 3aa + 3a X - 1 X =0 ubi sulicndo C = (bbc. d - aa,: a
- c
- +3bbc: d3 = 3ba. dd
- .3ae -3a ee
- - et
- biet: X = 34 - 3b4: dd - 3aee:, 4 1 - C. d
- et ex
- compendii caufam videamus an liceat facere C
- E
- a b, c in n, p, im + n = p et. M +N + p = 9
- p p = q-m - n: el p. = n + n. et fit.
- p = q - m - n: n +n. p - 4 -- 24 m- 29 7 + m - mn n
- 1 m a
- et fiei (me rn = q - 29. n - 24. i +t m - 2m n 4 n)
- et
- =(M + 3m n + 3m n A nS)
- 1
- m = 6 fr m + p = q- p
- si nth. pn Mp r. qn fit Gh= p +n
- .Y. (u n, M + mnt pp = E (q n q + gur)
- mum t m= contr. ticto
- rgn tara pp=(+ quann
- et.
- s
- m = h, p +n = r. q. n - p
- P= Fg= Tn fhs 1 b
Cite
Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 178r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0355?run=74