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Mathematics and Society - OS X Lion Server

Mathematics and Society - OS X Lion Server

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.KepIeY3Jaw( COt..lTlt-)UE,D )secondd. Mark another point P on the ellipse.e. How far would the planet travel(counterclockwise) from P in 1unit of time? Mark its new locationon the ellipse.Hint:Students should draw a line segment from the Sun to P.Using Kepler's second law,this line should sweep outan area equal to the shadedportion when the planetreaches its new location.Use counters or transparentgrid paper. Measure theshaded area, or trace it<strong>and</strong> cut up the drawing.Construct the same area from P.. ::;:----- -~ -c.:..:--c::::-- - -_- ---; p2. The Jones family bakes pizza in anelliptical pan. Mom slices the pizzafrom one focus. She has just cutRon's slice <strong>and</strong> made the first cutfor Bill's piece. Where should shemake the second cut if both boys areto get the same amount of pizza?FOCUSIDEA FROM:The Universe in Motion, Book 2, The University of Illinois Astronomy Program109

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