416 



IMtKX 



Conjugate, diameters of ellipse, 268. 



diameters of hyperbola, I 



hyperbola- 

 Constants. 



absolute 



arbitrary 3. 



: nates, of a point, 24. 



lutes of, 26, 332. 



elliptic, 390. 



origin of, 26, 332. 



polar, 25, 29, 33.1. 



positive and negative, 25. 



rectangular, J7 



relation between rectangular and 

 polar, 130, 333. 



transformation of, 123, 339. 

 Cramer. 315. 

 :U7. 



algebraic, 309. 



higher plane, 



transcendental. 



use of, in applied mathematics, 73. 



lers, 343. 



perpendicular to coordinate planes, 

 344. 



Diameter, of conic, 211. 



conjugate, of ellipse, 252. 



conjugate, of hyperbola 285 



of ellipse, 250. 



of hyperbola, 284. 



of parabola, 230. 

 Diocles, 309, 310. 

 Direction, angles, 334. 



cosines, 334. 

 Directrix, of conchoid, 312. 



of conic, 68. 



of ellipse, 17'.'. 



of hyperbola, iOO. 



of parabola, 171. 

 Distance, between two points, 31, 336. 



of point from a line, 105. 



of point from plane, 359. 



Eccentric angle, for ellipse, 243 



for hyperbola, 288. 

 Eccentricity, of conic, 68. 



of ellipse, lit, 



of hyperbola, 1<<0. 

 Ellipse, auxiliary < in les of, 242. 



center of, 



conjugate diameters of, 252. 



Ellipse, construction of. -J40. 

 defined, 7(>. 17 ' 

 directrix <> 



eccentric angle of, 243. 

 eccentriciu >f. 17'.'. 

 focus of, i 

 imaginary, 188. 

 major or transverse axis of 

 minor or conjugate axis of. 

 point, 18H. 



principal axis of, 182. 

 subtangeut and subnormal f, _'}}. 

 sum of focal distances constant, 239. 

 Ellipsoid, 371. 

 Elliptic coordinates, 390. 

 Equation, 4. 

 condition that quadratic, represents 



two lines. 111. 

 degree of, unchanged by transforma- 



tion, I'-".'. 

 discussion of, 49. 

 homogeneous, 14. 

 locus of an, 43. 

 locus of the product of two or m..r , 



54. 



locus of the sum of two or more, 56. 

 of a locus, '!. 

 of circle, W. u;, i:'o. 

 of locus traced by moving p<>iir 

 of straight line, 61, 63, 81, 83, 84, 



86. 

 of straight line in oblique coordinates, 



115. 

 of straight line in polar coordinates, 



118. 

 of tangent to circle in terms of slope, 



of tangent to circle in terms of 

 dinates of point ..f OOBtttOt, 111. 



of the form Ax + Uy f (.' = repre- 

 sents a straight line, si, . 



properties of quadrat : 



quadratic 



reduction of, to standard forms, ''1. 



special cases for si raiuht line, U5. 



to trace the locus of an, '.. 



Focus, of conic, 68. 



of ellipse, 17'' 



of hyperbola, 190. 



of parabola, 170. 

 Formula, for area of triangle, 34, 36. 



for angle between two lines, 97. 



