Second Rotation Point B2 On A Circle
Building on a prior scene with circle, center O, and fixed point A, this animation rotates the ray OA by π/3 in the opposite direction to construct a second point B2 on the circle. Both B1 and B2 are shown together, highlighting that a single angle magnitude can correspond to two distinct rotation directions from the same starting ray. Labeled in French, it suits students studying oriented angles, rotational symmetry, and the geometric ambiguity that arises before algebraic conclusions are drawn.
16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy
The prompt that made it
Create a beautiful and rigorous mathematical animation. IMPORTANT: ALL visible text MUST be written in FRENCH. DO NOT use English anywhere. Continue exactly from the previous scene. Keep the same circle, center O and fixed point A. Now show a SECOND possible position for B. Starting from the ray OA, rotate in the opposite direction by π/3. Place the new point on the circle and call it B₂. Show clearly: - the ray OA; - the rotation in the opposite direction; - the angle π/3; - the point B₂ on the circle; - B₁ and B₂ visible at the same time. Display in French: « Deuxième position » Do NOT display coordinates or unnecessary algebraic formulas. Do NOT give the conclusion yet. Use precise geometry, clean mathematical notation and smooth animation.
Make the next one in this series
- Comparer les triangles OAB₁ et OAB₂ pour montrer leur symétrie
- Tracer le segment B₁B₂ et étudier sa relation avec le rayon OA
- Généraliser la construction pour un angle θ quelconque au lieu de π/3
