v \ i CONTENTS 



PAdK 



Oowlrastioii of the ellipse MO 



Auxiliary circle*. Eccentric angle JU 



117 The subtangent and subnormal. Construction of tangent 



and normal 244 



ll-v The tangent and normal Lined externally and internally. 

 respectively, the angles between the focal radii of the point 

 ofeontact* Jl; 



149. The intersection of tin* tangents at the extremity of a focal 



chord JI7 



150. The locus of the foot of tin- jHTjHMidicular from a focus upon 



a tangent to an ellipse IMS 



l"'l The locus of the intersection of two ]Kr]M>ii<lirii]:tr t.-m^-ms 



to the ellipse L'l!) 



Diameteni 800 



158. Conjugate diameters L'.VJ 



l.M. (.iven an extremity of a diameter, to find the extremity of 



iU conjugate diameter 



155. Properties of conjugate diameters of the ellipse . . . -j.M 



156. Equi-eonjugate diameters 



; pleraental chords 



..ition of the ellipse referred to a pair of conjugate diam- 

 eters . 



150. Ellipse referred to conjugate diameters; set-on. I m.-thod 



rilAI'TKK XI 

 TUB HYPBRBOLA -#- = 1 



100. Review 2C5 



161. The difference between the focal distances of any point on an 



hyperbola is constant; it is equal to the transverse axi 



162. Construction of the hyperbola j',7 



163. The tangent and normal I.JM-, -t internally and externally the 



angles between the focal radii of the jK.int of contact . . 268 



164. Conjugate hyperbolas L:< 



165. Asymptotes j7_' 



Relation between conjugate hyperbolas and th.-ir a>ymi.tot-s J7.' 



F>|uilateral or recUngular hyperbola . . . . . J77 



168. The hyperbola referred to its asymptotes . . . .278 



160. The tangent to the hyperbola zy = c* 280 



Geometric properties of the hyperbola L 1 



