VIBRATION OF STRINGS. 339 



as in the Taylorian curve ; so that, for the ends of 

 physical philosophy, the solution was not very in- 

 complete. 



John Bernoulli, a few years afterwards 7 , solved 

 the problem of vibrating chords on nearly the same 

 principles and suppositions as Taylor; but a little 

 later (in 1747), the next generation of great mathe- 

 maticians, D'Alembert, Euler, and Daniel Bernoulli, 

 applied the increased powers of analysis to give 

 generality to the mode of treating this question, 

 and especially the calculus of partial differentials, 

 invented for this purpose. But at this epoch, the 

 discussion, so far as it bore on physics, belonged 

 rather to the history of another problem, which 

 comes under our notice hereafter, that of the com- 

 position of vibrations ; we shall, therefore, defer the 

 further history of the problem of vibrating strings, 

 till we have to consider it in connexion with new 

 experimental facts. 



7 Op. iii. p. 207- 



