66 DIVISIONS OF THE ORIGINAL. 



§ 8. General expression of the square of the velocity, 

 (264, Cor.) The body describes a curve in which the sum of 

 the products of the velocity into the elements of space for 

 the whole curve is a minimum. P. 21. (266.) 



§ 9. Determination of the pressure of a moving point 

 on a surface or a curve. Centrifugal force. P. 23. (272.) 



§ 10. Motion of a gravitating point in a resisting me- 

 dium. LaiD of resistance required for the description of a 

 particular curve. (273.) Ca^e where there is no resist- 

 ance. P. 25. (274 . . .) 



§11. Motion of a body in a spherical surface. Time of 

 the oscillation. Very small oscillations isochronous. P. 28. 

 (280.) 



§ 12. Investigation of the curve in which the isochronism 

 is perfect, in a resisting medium, with resistances propor- 

 tional to the first tv^o powers of the velocity. P. 31. (282)'' 



The order of the subsequent sections is preserved unaltered. 



