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Welcome to the 29th Anja S. Greer Conference on Mathematics, Science and Technology being held June 23 - June 28, 2013 at Phillips Exeter Academy.  If this is your first time to the campus, get to know the campus by visiting our interactive map. You can find your dorm by using the buiding filters.  (Your conference welcome letter let you know what dorm you have been assigned.)

Using the daily schedule below, you can select your course period, featured speakers and meals that you will be attending by clicking on the "star".  Each Conference within a Conference (CWIC) session is listed. You can attend as many CWIC sessions as time allows. Just check the sessions you are interested in attending. Your individual schedule will be created.  You can print it or push it to a mobile device.

We look forward to meeting you this upcoming weekend.
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Sunday, June 23 • 6:45pm - 7:45pm
Featured Speaker Presentation: Heron, Newton, Euler and Barney

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Heron's formula, giving the area of a triangle in terms of the lengths of its sides, is one of the great, peculiar results of plane geometry.  It is thus to be expected that, over the years, there have been multiple demonstrations of this remarkable formula.  Here, I consider four such proofs.  Heron's original was a clever if convoluted exercise in Euclidean geometry.  Centuries later, Isaac Newton gave a demonstration whose heavy lifting was done by algebra rather than geometry.  Leonhard Euler's proof was geometric and exhibited his characteristic flair.  Then in 1990 Barney Oliver, a former recipient of the National Medal of Science, shared with me an elegant trigonometric argument where the symmetry of the formula was mirrored by the symmetry of the proof itself.  The first two of these – Heron's and Newton's – I'll mention only briefly.  The second pair – Euler's and Barney's –  I'll prove in detail.  Taken together, these should remind us why the history of our discipline is such a fine source for wonderful mathematics.


Featured Speaker

Sunday June 23, 2013 6:45pm - 7:45pm
Grainger Hall Phelps Science Center

Attendees (125)