Ps. 2, fol. 76

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: 0.88.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

1. D E N A Y a R A
2. est, 6∞b = l. Unde discimus, cognita vera radice b, aequationem
3. tanC X 3 - f b X x L bbx L b3 = bb l∞0 ad tres reliquasinresti-
4. bt
5. sandas ulurpari posse. Praeterea, comporando postremostermi
6. norum, habebimus pr ∞ b3c. Unde sequitur, c aquariz,; ec, co-
7. nica reraradiceb, a quationem hanc x3 L X x ∞O eri
8. bus reliquis inserrire.
9. 3 Propositio.
10. Pro tertia propolicione Formetur ex duabus x3 = CX X bC X
11. bb6∞0e x - b ∞ O ae quatio hXC X + - 6X 3 X X + b3C ∞O,
12. _ erit ejuIdem Forma atque tertia prOPOLIEaLIM X + - L∞3 X +. L
13. p+ ∞0, ac per consequens eandem habebunt naturam de consti-
14. turionem. Fiat ergo adaequatio, et ex collatione secundorum
15. terminorum habebimus l∞ c- F b, hoc est, c∞1 -- b. Unde
16. constat, cognitâ rera radice b, hanc aequationem
17. X3 = IX X = bIX - bb1- + b3 ∞0 tribus reliquis inserrire. POF-
18. Lb
19. L bb
20. ros comparando postremos terminos, habebimus pr ∞ b36, _c per
21. consequens c0; adeoque, cognira veraradiceb, poreritx-
22. Quatio x3 = , N X - ∞ = ∞0 ad tresreliquas radices in-
23. restigandas adhiberi.
24. Non operx pretium duximus meminisse aequationum quatuor
25. dimensionum, in quibus secundus de quartus terminus delunt:
26. quia illae omnes reducuntur ad Guadratas, ac idcirco carum na-
27. cura ec consticutio eodem modo habetur.

Cite

Ps. 2, fol. 76. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0100?run=74