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it may be to the artists themselves, I might call as 

 witnesses each one in turn with full reliance on the 

 testimony which they would bear. And, having more 

 special reference to Mathematics, I might confidently 

 point to the accuracy of measurement, to the truth of 

 curve, which according to modern investigation is the key 

 to the perfection of classic art. I might triumphantly 

 cite not only the architects of all ages, whose art so 

 manifestly rests upon mathematical principles ; but I 

 might cite also the literary as well as the artistic remains 

 of the great Artists of the Cinquecento, both Painters 

 and Sculptors, in evidence of the Geometry and the 

 Mechanics which, having been laid at the founda- 

 tion, appear to have found their way upwards through 

 the superstructure of their works. And in a less 

 ambitious sphere, but nearer to ourselves in both 

 time and place, I might point with satisfaction to the 

 great school of English constructors of the 18th 

 century in the domestic arts ; and remind you that not 

 only the engineer and the architect, but even the cabinet- 

 makers, devoted half the space of their books to perspec- 

 tive and to the principles whereby solid figures may be 

 delineated on paper, or what is now termed descriptive 

 Geometry. 



Nor perhaps would the Sciences which concern 

 themselves with reasoning and speech, nor the kindred 

 art of Music, nor even Literature itself, if thoroughly 

 probed, ofi'er fewer points of dependence upon the Science 

 of which I am speaking. What, in fact, is Logic but 

 that part of universal reasoning ; Grammar but that 

 part of Universal Speech : Harmony and Counterpoint 

 but that part of Universal Music, " which accurately 

 " lays down," and demonstrates (so far as demonstra- 

 tion is possible) precise methods appertaining to each 



