Mil CONTENTS. 



CHAJ-. 



XVIII. Tangent and normal to a plane curve . . . 280 



XIX Asymptotes . . . . . .290 



XX. Tangents and asymptotes of curves referred to polar 



co-ordinates ...... 304 



XXL Concavity and convexity ..... 312 



XXII. Singular points . . . . . .319 



XXIII. Differential coefficient of an arc, an area, a volume, and 



a surface ....... 328 



XXIV. Contact. Curvature. Evolutes and Involutes . 336 

 XXV. Envelops ..... .357 



XXVI. Tracing of curves ..... 369 



XXVII. On differentials . . . . . .392 



XXVIII. Miscellaneous Propositions .... 401 



Students reading this work for the first time may omit the following 

 Articles : 



23, 83, 98.. .113, 141. ..143, 151, 156, 163.. .166, 185.. .189, 200, 

 206. ..208, 219, 220, 222, 226, 235.. .240, 248.. .256, 365.. .388. 



