How can I get point addition equation for elliptic curves in projective co ordinate system  ? Can I get it by changing $$ x = X/Z $$ and $$ y =Y/Z $$ in the equation for affine co ordinates' group law  ? I have done it using the above narrated step and made the denominator as $ Z $ in equation for binary super-singular curves. Unfortuantely I am not able to get the correct output. I have used the equation $$x_3 = (y_1 +y_2/x_1 +x_2)^2 + x_1 + x_2$$ $$y_3 = (y_1 +y_2/x_1 +x_2)(x_1 +x_2) + y_1 + c$$ for the curve $y^2 + cy = x^3 + ax+b$

How can I get point addition equation for elliptic curves in projective co ordinate system? Can I get it by changing $$ x = X/Z $$ and $$ y =Y/Z $$ in the equation for affine co ordinates' group law? 

I have done it using the above narrated step and made the denominator as $ Z $ in equation for binary super-singular curves. Unfortunately I am not able to get the correct output. I have used the equation $$x_3 = (y_1 +y_2/x_1 +x_2)^2 + x_1 + x_2$$ $$y_3 = (y_1 +y_2/x_1 +x_2)(x_1 +x_2) + y_1 + c$$ for the curve $y^2 + cy = x^3 + ax+b$.