I- . //// / 7.' 



EXAMPLES ON CHAPTER IV 



..I tii.- . (nation* ,f i ho tides of the triangle whose vertices are 

 the | lmt tbe reau 



equations by .* the given coordinate*. 



2 1 in. I tii.- .-.iu.it ion* of the side* of tbe square wboae vertices are 

 >. Compare tb equation* of the peralM 

 aides ; of perpendicular tide*. 



lie center of tbe aquarc . 



lie radiu* of ibe circumacribed circle, and < UM .-ii.u . 



. ircle. Teat tbe result by finding tbe coordinate* of tbe point* of 

 >ne of tbe aide* wilb circle (Art. 30). 



lie equation of the patb traced by a point which i* always 

 listatit from tin- pui 



^((1,6); 



(.1 4 f,. -I (.1 -A, a + 6). 



5 \ -veasotha Mate always exceeds | ef iU aheriaM 

 by 6. Find th< i locus, and trace tbe curve. 



6 \ .vea HO that tbe aquare of iU ordinate is always 4 time.H 

 Hi abaciMa Fimi the equation of iu locus and trace tbe cunre, 



71 aqi i -um of the locus of a ; ii inorea so that the 



urn * uicea from the poinU (1, 3) and (I. '.') is always 5. Trace 



and discus* tbe cunre. 



a Find the equation of the locu* in example 7, if the 



difference of its distances from tbe fixed pointa is always 2. 



xpreas by a single equation the (act that a point move* so that 

 iu distance from tbe z-oxi* is always numerically 3 times ita distsnoe 



th.- v i\:>. 



10 move* * square of ita distance from the point 



> is 4 times it* ordinate. Find the equation of ito locus, and trace 

 tii.- wnrrt 



U. A point moves so li*tance from tbe x-axis i* } of ita di- 



tance from the origin. Find tbe equation of iU locus, and trace the 



I HI \ ' 



12 A p>mt moves so that the difference of the squares of Ha dis- 

 tances from the point* (1, 3) and (4, 2) b ft. Find the equation of iu 

 locus and trace the curve. 



