ANNALS OF HORSEMANSHIP. I5 



which, I maintain, is the only expedient 

 that can be pra6tifed with a mathematical 

 certainty of being fafe : thefe, and many 

 other important fecrets, I am ready, at any 

 time when called upon, to communicate. 

 One I cannot even now v/ithhold, which is 

 this : that there is no good or truly geome- 

 trical riding, unlefs the legs be extended 

 perfed:ly in ftraight lines, fo as to form tan- 

 gents to the cylindrical furface of the horfe's 

 body : in a word, to refemble, as much as 

 poflible, a pair of compafles fet aflride upon 

 a telefcope ; which I conceive to be the 

 perfed; model of mathematical riding. 



But befides this application of pure geome- 

 try, it has often ftruck me, that too little 

 ufe is made, in riding, of the principles of 

 mixed mathematics. Conlider, Mr. Gam- 

 bado, the fix mechanical powers ! the levers 

 the wheel and axle, the pulley ^ the inclined 

 plane, the wedge, and the fcrew -, and refled: 

 with what advantage all thefe may be ap- 

 plied to the ufes of Horfemanfhip. By means 

 of a lever, having an elevated fulcrum raifed 



on 



