x co A rum 



FAOB 



;ve and negative coordinates 



jl ( uteMan coordinates of I- .in u m a plane J'i 



ItecUngular coordinates -'7 



Polar coordinates . _: 







II. / itionn 



V Distance between two points 



( 1 ) Polar coordinates 



('artaeian coordinates; axes 11 nl.ir . 



Rectangular coordinates 



Slope of a line .... 



28. Summary -1 



29. The area of a triangle 



( 1 ) Rectangular coordinates 



I'olar coordinates 



SO. To find the coordinates of the point \\liidi divides, in agivn 



ratio, the straight line from one given point to another . 

 Fundamental problems of analytic geometry . . . .40 



< HAITFU III 

 THE Locus >r m BQQ \TION 



The locus of an equation 1 



Illustrative examples: Cartesian coordinates 



34. Loci by polar coordinates 46 



85. The locus of an equation 17 



86. Classification of loci 48 



87. Construction of loci. Discussion of equations . . . .49 



88. The locus of an equation remains unchanged : (, t ) l.y any trans- 



position of the terms of the equatio: ; and (#) )>y multiply- 

 ing both members of the equation by any finite con 



89. Points of intersection of two loci 



t\v. or more equations 



41. Locus represented by the sum of two equations . . "J 



( HAI'TF.i; IV 

 Tin F.IJI-AIIM\ UK A LOCUS 



42. The equation of a locus <! 



Equation of straight line through two given points . . .01 



