XXIV. On the Application of Analysis to the Discovery of Lo- 

 cal Theorems and Porisms. By Charles Babbage, Esq. 

 F. R. S. Lond. & Edin. 



( Read May 1. 1820J 



T 



HOSE who have devoted much of their attention to ma- 

 thematical inquiries, must have had frequent occasion to ad- 

 mire the unexpected and intimate connection which subsists 

 between branches of their science apparently the most remote 

 and unconnected with each other ; and repeated observation 

 will have convinced them, that no researches, however recon- 

 dite or abstruse, should be neglected, because they appear to 

 stand isolated and detached from the body of the science. 

 These reflections appear to have been felt with strongest force, 

 by those who have most contributed to its advancement, and 

 were particularly insisted on by Maclaurin, in the Preface to 

 his Geometria Organica. The present Paper will add another 

 example, to instances already numerous, of the latent affinity 

 between departments of mathematics, usually regarded as the 

 most opposite. 



By those who have studied the writings of the illustrious re- 

 storers of the most valuable and interesting portion of the an- 

 il u 2 cient 



