e1_p1_p21_merged (2).txt

\_\_. CHAPTER x LOPES, CURVATURE OF PLANE Curves = : : My if (XY t) : = 0 determines a curv wt A cor \* a ar Pjue of t. The totality of all ig 2a, ca nm 4 if it values of t , is said to be a family of curves oa ; show \ = 4ax =\~ Sh ivk "er : val + y= r where ris a constant, is rae 5 meter a tou...

\_\_. CHAPTER x LOPES, CURVATURE OF PLANE Curves = : : My if (XY t) : = 0 determines a curv wt A cor \* a ar Pjue of t. The totality of all ig 2a, ca nm 4 if it values of t , is said to be a family of curves oa ; show \ = 4ax =\~ Sh ivk "er : val + y= r where ris a constant, is rae 5 meter a touching the lines y = = / 1a' meee iilustrations the fami he e first case a Circle. in the seconc pecase a pair of lines. The curve ves Ci 1S called the el reyi ele a i g oe envelope. ae t) = Oand let \| Be ivexistsand that's S\ particular value o! mw y, a ae CALCULUS : aF dé OF On \_ " ', \| Le. GE da + On da -\" 2 Ww \