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[Label3]
Caption=Let five points be given: A1, A2, A3, A4 and A5.~~We can construct a conic section~~passing through these five points. To do~~this, carry out the following:~~~~1. Draw line A2A3 and put point M on it.~~2. Draw lines A1A2, A3A4 and A4A5.~~3. Intersect A1A2 and A4A5 to obtain point M2.~~4. Intersect MM2 and A3A4 to obtain point M1.~~5. Draw lines MA5 and A1M1.~~6. Locate point A at the intersection of these lines.~~7. Make A leave trace and slide M along A2A3. ~~~~How does this work?
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