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Shape and Motion

2 sessions, in order

Two sessions that land on the same surprising fact from opposite directions: a circle is just a special case of an ellipse, and an orbit is just something falling that keeps missing the ground. Math and physics arriving at the same shape from two different roads.

1.MATH-11String, Tacks & Perfect ShapesMath~33 minWhat do a circle and an oval have in common? Conic sections, and why a circle is just a special ellipse.
2.P&A-5Newton's Cannonball CrewPhysics & Astronomy~32 minWhat is an orbit, really? Falling forever, thanks to the balance between gravity and inertia.