Interactive Quadric Surfaces Demo by Gary Church
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This example demonstrates various quadric surfaces in 3D with their corresponding equations. Key math concepts include quadric surfaces, coordinate geometry, and 3D transformations. Construction highlights involve using GeoGebra commands like IntersectPath with objects (a, b, c, d, e, f, g, j, k, l, n, p, h, i, m, o, s, r, t, u, v, w, q, c_1, d_1, e_1, f_1, g_1, h_1, k_1, p_1, q_1, r_1, s_1, t_1, c_2, d_2, e_2, f_2, g_2) for intersection calculations and locus plotting. Suitable for high school students and math enthusiasts studying quadric surface properties and equation applications.
GeoGebra Commands & Parameters
IntersectPath(l, d) → qIntersectPath(n, d) → c_1IntersectPath(p, d) → d_1IntersectPath(l, f) → e_1IntersectPath(n, f) → f_1IntersectPath(p, f) → g_1IntersectPath(n, e) → h_1IntersectPath(p, e) → k_1IntersectPath(l, e) → p_1IntersectPath(n, j) → q_1IntersectPath(p, j) → r_1IntersectPath(l, j) → s_1IntersectPath(n, g) → t_1IntersectPath(p, g) → c_2IntersectPath(l, g) → d_2IntersectPath(n, h) → e_2IntersectPath(p, h) → f_2IntersectPath(l, h) → g_2