Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 106r
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.
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The machine reads it as
- haveatur ab una parte V ab altera valor qui
- rationalis aut irrationalis per
- X. Babebitur primum
- dus. adue ddius. et ita porro. Cumque edem
- rrationales recurvere soleant in his valoribus nam
- sit
- ).
- dy
- C.
- i de
- dp
- seu
- X. erit du p) Z X du unit
- 3
- et dyf, y y
- X dy
- a
- X + b
- v- 1
- 1eydx
- ( X+ B
- tifidxtigus dus 0dy
- +
- dy dy
- b + eV + 2FX
- c +ex + Egu
- variis modisva riar possunt aequationes
- gratia:
- Z-1
- DYIX. potest et sic exprimi
- unde _ y dy Xdy
- X
- send - 1, X + X dy
- ax
- dy Z X +b vX ax
- dy
- I V X di
- bX + cy + dxy d + fX + gY p7 v.
- b dx+ cdus + exdus
- multis
- e
- 1
- y 1I
- 2
- exempe
- =1 d dx
- - 1
- X dy. Ergo dy A7 X dx
- m
- ut ante
- interea his variationibus multas obtinere possumus de quationes
- ita faulius tollere terminos quos volumus idem puto
- tiam posse fieri in aequatione ali qua rationali
- afrecta,
- ut y + b p X. ut erit 27 dy + bdy dx
- seu y dx baque
- aliter: Y. + bI . Ergo dus F, Xdes +Vy 2 dy
- Ergo y p, - X dys + y dx
- dy
- 1 1 - bg. Ergo yF y
- pure
- celerum y invenire per
- iurta
- solem valorem e
- 2X du
- dit bdu
- finis
- rationalem expressionem ipsiu X accedentibus solum
- dx. dy ddy. dddue exc. magni momenti est, ita enim Heabemus
- novam expressionem puram finitam et generaliter
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 106r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0213?run=74