Ps. 2, fol. 292

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. 292
2. E L E H. C U R Y A R U M
3. ∞N = a, ec A C ∞ V X X. +. y9, aEBC D V XX = 2 a. X + a. 4 + yy;
4. SIEGUC A C =- A D ∞ BC: aequatio crie
5. VXX -F yy = b ∞ V XX = 2 a x F a a + yy, Factaque operatio-
6. ne conrenienti, ut veraque aequationis pars à signo radicali libe-
7. retur, e transpoliris transponendis, crie
8. 4bbyy ∞ 4 aa ∞ x - +bb~ ∞ - + a3 X F 4. bb a X F a + - 2 bb a a F a
9. Uinde Facta dirisione per 4a a = + bb habebitur 3677
10. aa = bB ∞ X X
11. a x -F = aa = = bb. Deinde asumpeo juxta Regulam v ~ N = = a,
12. erie x ∞ v. F = a, ideoque substicuco hoc ralore in locum ip(IuISX,
13. atque ejusdem quadrato loco xx, expunctisque us quae le inri-
14. L18. L
15. cem destruune, crie
16. 13
17. aa = b8 ∞ VV = = bb. Dui quidem calus etE
18. Theorematis 12mi hujus libri, ac proinde LOcus quaesitus erie
19. Hyperbola. Cumque rallumpea lic Prox = =a, ( ab A versuSF.
20. sumatur A HI∞ = a, erit, juxta Regulam, FIcentrum, ee Cemi-
21. diameter tranversa (puta HIC ob una, e EI E. ab altera Parte,)
22. ∞ V = bb, id eA, = b; ita ut diameter erantrerta F C (quae qui-
23. dem, ob applicatam C. P. ad diametrum FI F pervendicularem,
24. crancrerlus quoque aXis Cst,) sic ∞ b. Ratio autem transverla
25. diametri ad parametrum, seu quadratieran (ver sa ad quadratum
26. lecundae diametri, erit uE bb ad a a - b b. Unde per ea quae libri
27. primi capiribus secundo e ultimo expolica sunt IIyperbolam
28. aplam delcribere haud difficile erit. P orro cum quadratum semi-
29. diame.

Cite

Ps. 2, fol. 292. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0316?run=74