Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 186r
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
- suX dx VCM +HXX:, p+ EXX = Cd pendet ex Conicis
- quadraturis posito e esse numerum vatu deve gam rationatem
- integrum quemcunque, nam si posito XX = Y et XdX = dy : 2
- et g ay fiet Cd = (in Ly dy S, MtMA:, pagy, quae
- patet ex quadratura ex Conicis quadraturis habetur.
- Imo generalius si sit
- ( = ( XdX. XX V, M + RXK,.3
- AXX
- posite sid
- M
- ed per Conicam quadraturam
- ficare relationem rationalem habetur quae
- sit 10rab + 1 Sac + 12 Bb = X. fiet XX = 210. 11 a. HC P. 10. 1b Vac
- 2. 1. 12 CY ab + 10. 10 aD + 11. 11. ac + 12. 12 bc. debet ja m + nXX A
- equari quadrato a 20+ ab + 21 ac + 22 V bc, quod est
- similiter p+ gXK = quad. a 30 Vab On +31VACF,
- 3
- ergo fiet
- Lr) ab en pN. n1O. 11 = _. 20. 21 n 10. 12 = (4. 20. 2 n. 11. 12 = 4. 21. 2E
- 2. 20. 21 a 1bc + et
- 9. 10. 11 = 1. 30, 31 9. 10. 12 = 4.30. 32 441 12 . 31. 32
- 1300
- t ni2oo C pes sed superest
- q
- e, 30+n. 10 ab + n H ac + n12. 12BC + M= O
- a 22,22
- a 2020.. = 21, 2)
- et +a 10. 10 ab + 9. 112 ac + 9. 12. bc p-
- 0
- O
- quae duae ultimae aequaves ut resolventur pro a, b, c, ponenda
- 30.30.. = 31. 31 = 32. 32.
- 40X + 41 GOX +51 60X +6) et ex duabus ultimis aeqq. t fiunt sex
- a
- ut tollantur XX, L, et X; ad quae
- se eet nempe ex qualibet
- afficientes esse artitrarius manifestum est
- X
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 186r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0371?run=74