Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 365v
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: 0.82.
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The machine reads it as
- An sic. sint res aequationes, binae ad tres literas X, y
- binae quadratoriae tertia Z= a, quo est ad planam
- 2
- ope duae priores sint quadratoraae tales, ut differentiastoae nota
- summae tollatur. Inde tosentur ope productarum vinarum tollatur
- dy ubi collendo prodibit aequalio pro dys. dx, X, y, Z. ponendo
- jam Z=a, habebimus differentiatem nostram ordinariam
- quae hoc modo poterit construi. videndum an hoc possit
- accommodari ad datam
- 30
- Ex gn (X. I = fy dy 52
- 1Z =0
- 62
- Sx dx + s dy 56 = 0. qu au sx
- Tollendo utrobique dz siet X dx + 5 alus iZ = X yty : Z
- 2t
- Hinc nil dueitur, sed instituenda mistura vius prima aequatione manente
- secunda fes = (Er 2) (dx rd3) + Scyt (eg rdz) +et y ea (y
- di = (( dx + 9 dus,) Z) + at Z ex + y+ Z dy + Z + 9 F X (dZ + dus1
- Z =
- 30
- ti
- soud
- =X ex + ydy, Xt + XtE + xty
- 3u
- quos ipsuis dz valores inter se aequando, et in aq. in de prodeunt
- AZ = X dx +y dy 7: Z
- ponendo Z a seu onstanti, prodibit aequatia differentialis permi
- gradus more communi in tractabilis
- illad etiam foret maximae utiliatis, si ties etiam hausferri potest
- ad eo ut differontialis primi gradus habdantur, ubi xdy: ex ascendat ad
- quadratum, si nempe radio quadratica una sit in altemtio valore
- videndum an non etiam hac methodo posset quadratura intractabilis
- possetreduci ad tractabilem seu rationatem, qui foret cymulus methodi.
- sitx SZ+ d+ +) + + 1X +)fex dy) 7e
- patet ex priore ub X IX ducitur in XFZ veluti si Maxeaa) dacetetu
- in _ta vel tale quiddam quid si ibi y plane omittas. Di
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 365v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0726?run=74