Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 53r

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The machine reads it as

1. 1 Fetr. 1653.
2. Melhodi quarrandi quae tantum profiguris integus dimetreadis serviunt.
3. AE, X. EF y.
4. y dx aequ a- X dv. y
5. AB a. BC, C seu lyd aequ a -X dus
6. y dx aego yax + sxdus aequ X y.
7. seu
8. posito X et y esse concrescentes. seu AEF A. + ALFA aequal. AEFL
9. demonstritur ex Generali calculo differentialium: d Xy aequ. X dy + ydx
10. XZ 1 aequ. XZ dy 1 Xy dy + yZ dx
11. Et Hinc: Xy aequ SXdy + Sis dx, quod est universale
12. In casu autem speciali est: cum X aequ a et aequc.
13. fie faciendo 4. erit X y aequa dy. quia aegu.
14. et
15. se
16. quia Sa dy aequ Ay aequ Xy). ergo erit
17. adque aequ )X du + Sydx. Ergo a -x aque aequ fydx
18. similiter in casu speciali cum y aequ. c. erit Xy aeqo se dx (quin scdx agora
19. seu c- y dx aego dxdgue. in Toto
20. ergo erit sc ax aequ xdus + Sydx. D
21. proposita quantitate, Lummanda quaerenda
22. atia secundum quam una exstente Xdque
23. altera sit is de
24. polest semper
25. Sed hoc ixfuri
26. Yaa-v du
27. pro solito sumamus: dxyzaequ 2ycZ +xZlytry ax
28. unde rursus in casibus speciatibus innumera ductuum
29. fheoremata habebuntur

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Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 53r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068073:0105?run=73