Intersection of Two Cylinders by Bernat
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In collections
intersection: surface-surface, curve-curve
intersection: surface-surface, curve-curve
intersection: surface-surface, curve-curve
intersection: surface-surface, curve-curve
This example demonstrates the spatial intersection curve formed when two cylinders intersect in 3D, visualized dynamically in GeoGebra. It focuses on solid geometry concepts such as surface intersection, parametric curves, and locus generation. The construction uses GeoGebra commands including Cylinder to create the cylinders, Intersect to find their intersection, and Locus to trace the resulting curve, along with auxiliary objects like Line, Point, and Segment. Suitable for high school or early college students to gain geometric intuition about intersecting surfaces in space, and useful for teaching spatial curves in calculus or parametric equations.
GeoGebra Commands & Parameters
Line(B, A) → fPoint(f) → CCylinder(A, C, R) → a, c, d, bLine(D, E) → gPoint(g) → FCylinder(D, F, R') → e, h, k, iPoint(h) → GLine(G, g) → jIntersect(j, k) → H,Segment(G, H) → lIntersect(l, b) → I, JLocus(I, G) → LlocGeomètric1Locus(J, G) → LlocGeomètric2