

( i! \ri i i: ni 



vTIOXS 0> r.HT DkiiKKK A* + /*jf + C* + X) 0. 



AMD STHAM.M. I.IXES 



I. ; 



Amnm 



Every equation of the first degree repreeenU a plane . . 353 

 iiion of a plane through three given poinU . 364 

 The intercept equation of a plane . . 854 

 uttl equation of a plane . 355 

 213. Reduction of the general equation of first degree to a stand- 

 ard form. Determination of the constant* a, 6, c, />, a, , y 359 

 210. The angle between two planes. Parallel and perpendicular 



planes 



220. Distance of a; u a plane . . . 360 



II. Tk Straight I 



Two equations of the first degree represent a straight line . 350 



223. Standard forms for the equations of a straight line 



(a) The straight lino through a given point in a given 



direction 860 



(&) The straight line through two given poi .300 



straight line with given traces on the coordinate 



planes 



828. Reduction of the general equations of a straight line to a 



standard form. Determination of the direction angles and 



traces 

 I. Third standard form : traces 802 



II. li t standard form: <iir.vt ion angl<^ 



224. The angle between two lines; between a plane and a line . 808 



rv 



EQUATION* OP TUB SECOND DEGREE. QCADRIC 



225. The locusof an equation of second degree 807 



220. Species of quadrics. Simplified equation of second degree . 808 

 227. Standard forms of the equation of a quadric . 870 



228. The ellipsoid: equation + + =l . . 71 



