Ps. 2, fol. 82

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: 0.86.

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The machine reads it as

1. D. E H. A
2. P. u X
3. 2 Propositio.
4. Ad investigandam naturam _ consticutionem primae propoli-
5. tionis, Formemus ex duabus x3 = c X X f d d X F b d d ∞ 0 8c
6. X = b ∞ O aquationeM hanC Xt = C X 3 F d d X ∞ X - b b d d ∞ 0;
7. bc
8. habebicque ipsa eandem Formam atque prima propolicio ut -
9. l∞3 LMM X X X - p= ∞ 3, ee per conlequens dua illa _ quationes
10. ejuldem erunt nacurxe es constirutionis. Fiat jamm ada quatio, de
11. ex comparatione secundorum terminorum habebinus l∞c-- b,
12. seuc ∞ l. L b. Deinde, comparando certios terminos, crit mmn
13. de-bc, hoc est, reltituendo ralorem cinventum, habebitur d d ∞
14. mm - bl - bb. unde constat, si coonoscitur reraradix b, hanc
15. aequatiOneL X3 = l XX + m m x. F b m M ∞ O ad reliquas eres in-
16. restigandas inservire.
17. Bt
18. b
19. 2 Propositio.
20. Pro secunda propolitione Formemus ex duabus X3 L CN N L
21. d dx - b dd ∞0 X x = b ∞ OhanC XquatIONEIM x = - L C∞3- L d d X X
22. =b0
23. X = d d bb ∞ 0. Supposita rero c majore quam b, e bc majore
24. quam dd, hadebitilla eandem formam acque secunda propolita-
25. rUII Xt = L~3 =MM X x + =p+ ∞ 0, X per consequens ejuldem
26. erune nacura e consticutionis. Fiat ergo adaequatio, e ex colla-
27. tione secundorum terminorum habebimus l∞c-b, hoc eA,
28. C∞l. = b. Deinde, comparatis tertiis CeriMIS, Crit =m M D d d
29. bc. hoc est, resticuendo ralorem cinventum, habebieur d d∞
30. bI. F bb =mm. CEnde dilcius, cognit a vera radice b, hanc ae qua-
31. tionem x3 L lX X L bIX F bbb ∞ 0 ad reliquaSeres quaerendas
32. F b + bb + b3
33. posse adtriberi.
34. M =- bm
35. Denique, comparando ultimos terminos, habebimus pr ∞
36. Eb dd. unde sequitur, d et ae quari 7; 8, cum cognolcitur rera
37. radix

Cite

Ps. 2, fol. 82. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0106?run=74