CIi. curv. through focus 



CON 



2 C D' ? 

 A C ' 



C' D'- S P 3 



Diameter curv. " p ^ , or L X ^y- { . 



Equation to the curve, when referred to its principal diameters, 



IT- + -JF = L 



And when the coordinates originate at the vertex, 



Or yi = - (a 8 .r 8 ) when the origin is at the centre, 



HYPERBOLA. 

 HP SP 2 AC. 

 AS. S M - B C 2 . 

 2 BO* 



L- 



AC ' 



S P. P H = C D 2 . 



A C 2 C B2 - C P2 C D*. 



ab 



A C. C B - C D. P F, or P= , 



C*.=; ^fT^' 



B C = a ^(ea _i.) 



C p= - 7 ^^-^z,ay > -^i T , 



SP = ^ 1 ^ (g-l) 



' 1 _|_ e cos. fi 1 + e cos. fl * 



2 C I3 2 

 Ch. curv. through centre = . 



Ch. curv. through focus = 



2 CD 



2 C D* r S P 



Diam. curv. = --- or = L. -~, 



