c;768 x^3-384 x^2 y^2+960 x^2 y+360 x^2-384 x y^3+704 x y^2+360 x y-480 x-256 y^4+128 y^3+480 y^2-120 y-225=0   の 双対曲線 c^★ を多様な発想で 求めて下さい; c の common-tangent を多様な発想で 求めて下さい; https://mathoverflow.net/questions/110842/how-to-find-the-global-equation-of-a-dual-curve https://math.stackexchange.com/questions/662768/degree-of-the-dual-curve-to-xy2-z3 c^★ の common-tangent を多様な発想で 求めて下さい; c の common-tangent を多様な発想で 求めて下さい;   ●●「● 其の際 ↓達を味読し 模倣をも願います; https://math.stackexchange.com/questions/3436714/algorithm-to-find-common-tangent-to-any-two-conics https://math.stackexchange.com/questions/2428815/the-common-tangent-of-two-tilted-parabolas?rq=1 https://math.stackexchange.com/questions/1188704/equation-of-common-tangents-to-two-parabolas https://www.yu-hanami.com/entry/2019/05/22/170200