

IH //o\ s 



LM 



lia Intrinsic property of the hyperbola Second standard 



equation I .IM..H [I7j states a geom< .*' r! > whi-h 



h\ IMM In.l.i, \vhaU* vt*r the coonli- 



nate axes chosen, and to no ot I HI p.. mi , ,m<l \\i,i. h therefore 

 l\ definee the hyperbola. Wit It the figure and 

 117, ,- t ,uati..n [47] HUteH (Fig. - 



/, 



I. 



fiitin-ly analogouM t-. th.it ..f Art. 11-J f.. r th 



lptfe. It eliai .- on*- to \\ntc ;it ..iioe the equation of an 



with given center and semi-axe*, and axes parallel 



iin.ite axes* 

 . x.in.j.lr, if th.> transverse axis is parallel to tl.. 



-S an.l the center at tin> point C 

 if Ps r,y) is any point mi tln-rurve, then 





Mr 

 Off 



[48] 



