59 



NOTES. 



Page 11, line 28. It is worth while to compare the following passage 

 from Plato's '' Republic," Book vii. (Jowetl's translation) : 



After plane geometry, Ave took solids in revolution instead of taking 

 solids in themselves ; whereas after the second dimension the third, 

 which is concerned with cubes and dimensions of depth, ought to have 

 been followed. 



It is true, Socrates; but these subjects seem to be as yet hardly 

 explored. 



Why, yes, I said, and for two reasons ; in the first place, no govern- 

 ment patronises them, which leads to a want of energy in the study of 

 them, and they are difficult ; in the second place, students cannot learn 

 them unless they have a teacher. But then a teacher is hardly to be 

 found, and even if one could be found, as matters now stand the 

 students of these subjects, who are very conceited, would not mind him ; 

 that, however, would be otherwise if the whole state patronised and 

 honoured them, then they would listen, and there would be continuous 

 and earnest search, and discoveries would be made ; since even now, 

 disregarded as they are by the world, and maimed of their fair pro- 

 portions, and although none of their votaries can tell the use of them, 

 still these studies force their way by their natural charm, and very 

 likely they may emerge into light. 



P. 22, 1. 3. Compare with this the latter part of Plato's <' Philebus," 

 on knowledge and the handicraft arts ; also Prof. Jowett's Introduc- 

 tion thereto. 



P. 25, 1. 15. See *' Trattato della Pittura," by Leonardo da Vinci ; 

 also the Memoir on the MSS. of L. d. V., by Venturi, 1797. 



P. 25, 1. 24. " The Gentleman and Cabinet Maker's Director," by 

 Thomas Chippendale, London, 1754. 



*' The Cabinet Maker and Upholsterer's Drawing Book," by Thomas 

 Sheraton, London, 1793. 



P. 26, 1. 30. See Sorby's Address to the Microscopical Society, 1876* 



P. 27, 1. 5. Phil. Trans, of the Royal Society, 1870, p. 333 ; and 

 1876, p. 27. 



