[Ps. 1], fol. 250

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: 0.85.

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

The machine reads it as

1. D
2. 250
3. F R ANCTSCF a SCHOOFF V
4. ctum in recta AB, per quod quae sica linea C. P crantire debet,
5. calculus occurrat nullo ancecedentium brerior, licet constructio
6. Eic valde breris. Oporiet enim tantum in recta C. 6 surnere C. D,
7. aequalem C B, quae perpendicularis est ad AB; ex deinde ex
8. puncto D rectam ducere DF, parallelam ipst AG, atque aequa-
9. lem CT: habebitur que hac ratione punctum F, per quod quaest
10. ta linea C P erit ducenda.) Ouoniam autem in hoc exemplo
11. calculus multo estbrerior, si in recta AO quaeratur punctum P,
12. per quod linea quaelica C P eransire debet, quam li guaratur in
13. recta AB, atque etiam construetio allata ex illo Facilius porest
14. octendi: vilum tuit breriorem hic subjunsere, atque constructio-
15. nem ex eo paretacere.
16. EAto ergoC A ∞ b, A. F. vel L. C ∞C, CM vel AB DX, N A
17. vel BC ∞Y, AP ∞ V, _P C ∞S; Critque TOTa PH D V. L ).
18. Cujus quadracu P V. F V y. + y y Ei subtrahatur a quadratole.
19. etx PC ∞5s, relinquetur quadratum recte CMI ∞ 55 = vr
20. 2vy -yy. Undecum C M (IE D X, d quadrarum ejus D NX:
21. CLIEN X ∞SS - VV = 2 vy - 7y.
22. Fodem modo. Cin triangulo rectansuloB C. L. d quadrato ex
23. L. C ∞cc auteratur quadratum rectae BC Drr, relinquetur qua
24. dracum rectae BL ∞CC -py: ad eoque ipla BL ∞ V CC - yy:
25. qua ab AB ∞ x sublata, restabit A L ∞ X - V CC - yy.
26. Jam vero, cum, propter Cunilia criansula GM C e G AL,
27. CM SIc ad NI C, hoc eH, b f y ad x, sICUEC A ad AL, hoc cAt,
28. bad x = V cc = p y: eric rectansulum sub extremis xequale re
29. ctangulo sub mediis, nimirum
30. DX + Xy - Y bbcc F 2 b607
31. letis uerobique bx, ordinataque aquatione:
32. b
33. Xy ∞ Ybbc6. F = bCCγ LcC ) = by3 - pt. Deindeut eranescat
34. Tionum radicale, ducatur veraque pars in se quadrare, atque ad
35. tollendum xx lubsiruatur ejus lOco ss - vv = 2 vy = py, fet
36. que aequatio (syy = vvy y = - vy3 - pt ∞ bbcc + = bc67,.
37. =2b73 =y . Ub: si verinque auteratur y +, e tac transposr
38. Lio uE quanticates in y3 ducta unaim ObLiReAME XquationIS PAT
39. tet
40. Dr.

Cite

[Ps. 1], fol. 250. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0272?run=74