APPENDIX. 73 



confolation to fee a lading monument raifed to the fame of his 

 friend, by the munificence of Lord STANHOPE, who, by the 

 publication of Dr SIMSON'S pofthumous works, has obliged 

 the - world with a reparation of the moft curious fragment of 

 the Greek Geometry. 



SOON after the publication of the Sun's Dlftance, Dr STEW- 

 ART'S health began to decline, and the duties of his office be- 

 came burdenfome to him. In the year 1772, he retired to the 

 country, where he afterwards fpent the greater part of his life, 

 and never refumed his labours in the Univerfity. He was, 

 however, fo fortunate as to have a fon, to whom, though very 

 young, he could commit the care of them with the greateft con- 

 fidence. Mr DUGALD STEWART, having begun to give lectures 

 for his father from the period above mentioned, was elected 

 joint ProfefTor with him in 1775, and gave an early fpecimen 

 of thofe abilities, which have not been confined to a fingle 

 fcience. 



AFTER mathematical ftudies (on account of the bad date of 

 health into which Dr STEWART was now falling) had ceafed to 

 be his bufinefs, they continued to be his amufement. The 

 analogy between the circle and hyperbola had been an early ob- 

 ject of his admiration. The extenfive views which that analo- 

 gy is continually opening ; the alternate appearance and dif- 

 appearance of refemblance in the midft of fo much diffimili- 

 tude, make it an object that aftonifhes the experienced, as well 

 as the young Geometer. To the confideration of this analogy, 

 therefore, the mind of Dr STEWART very naturally returned, 

 when difengaged from other fpeculations. His ufual fuccefs ftill 

 attended his investigations ; and he has left, among his papers, 

 fome curious approximations to the areas, both of the circle and 

 hyperbola. For fome years toward the end of his life, his health 

 fcarcely allowed him to profecute ftudy even as an amufement. 

 He died January 23. 1785, at the age of 68. 



(K) THE 



