Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 325v

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: 0.87.

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One image of two folio pages side by side, registered by the library under both labels (also fol. 326r); this page is its left half.

The machine reads it as

1. Cuis aliquadiscaentiarum evanescit, id
2. Aliter Cdy +11 20 20y+21 = 6. Ex 2 sib
3. 20dy + y+20 + d11, tulle ag = 8 Ex 3 tolle ay
4. fit (+20edy+) eydeo + cdu et fit
5. 2d edy
6. 20. 11
7. ut ante
8. y = 10 +11 X + 12 X + 13X + 14X ete Zidendum an y et dus possint habere divisorem, communem
9. dy = 1. 1 +2.2X +3 13X f2 nX eu
10. sit y = ZV erit dy = Z dv + vsZ si jam y et du habeant
11. ntique etam du etum vel utique si dis
12. maxiuum communem divisorem v,
13. divisibilis per V, erit Zdv divisibilis per v. Ergo el dx divisibias pe
14. item
15. non potest, vel. Z et V habent communem divisorem.
16. et do et v habent communem divisorem, vel Z est divisibilis per v. Aid dx et
17. D non habent coem divisorem, ponamus etrim y et du eoem divisorem habentes
18. esse assamtos, ut sint mini infimi; seu ut divisor communis, non habeat Hursus
19. Gu
20. umpua differentia coem divisorem. Ergo 2 dividi potest per
21. faliamus y = covo fiet du = VD deo + 2cov dv it hac rioce videt posse
22. vetdu habere communem divisorem h. y = C0 V fty = v deo +v co do
23. ergo communis divisor ipsius y et dus est v si y = cd V qtalay - v 9dco, V. co g. d +q do
24. et communis, livisor esto q. Gene aliar si y divisibile per v: erit dy d sibele per v 2 2t
25. ergo y et diy condivisihiles per vn-
26. vv

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 325v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0646?run=74