Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 490
nsists of all those points andonly those points ivhose coordinates satisfy simidtaneously bothequatio7is. It is the total intersection of the two surfaces whichare defined by the two equations when taken individually. * Two equations do not always represent a curve. For example, thepair of… … Fig. 1 472 ANALYTIC GEOMETRY If on the other hand it is a curve, and not a pair of equations,which is given, we should say: A space curve can be represented by two simultaneous equations.TJiese can be axy two equations which are satisfied simultaneouslyby the coordinates of every point of the curve…