Where in the World Isn't Bob Saget?

trr1

Well-Known Member
September 25

Crab Meat Newburg Day
National Lobster Day (One time resolution)
National One-Hit Wonder Day
National Comic Book Day
National Tune-Up Day*
National Research Administrator Day*
Math Storytelling Day
 

JenniferS

When you're the leader, you don't have to follow.
When we went to that lame-o wedding in July, we passed this absolutely scrumptious smelling waterside food place on the way to the uber-fancy wedding venue.

All summer long, we've been saying we were going to go there. And today was finally the day.

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The food was delicious, the company was perfect, the view was spectacular, and the weather was lovely.
 

Arthur Wellesley

Well-Known Member
Anyone have a good math story? :confused:
Once in a kingdom far, far away, a beautiful girl was born to a king & queen. The castle in which she was born was a structure to behold. The diagonals of the side walls divide each other into segments with lengths that are pairwise equal; in terms of the picture below, AE = DE, BE = CE (and AECE if one wishes to exclude rectangles). Opposite angles are supplementary, which in turn implies that isosceles trapezoids are cyclic quadrilaterals, at least according to the fairy godmother who helped construct the magical castle.
But a jealous witch wanted to destroy the kingdom, and she knew too well that the castle would only fall if the ratio in which each diagonal is divided is equal to the ratio of the lengths of the parallel sides that they intersect, that is,

76a1526fd998b6ecea6d7c5b6cb06c20.png

The length of each diagonal is, according to Ptolemy's theorem, given by

5a1a8b58d93b1517f8cd1af8f7f93be1.png

where a and b are the lengths of the parallel sides AD and BC, and c is the length of each leg AB and CD.

But luckily the witch miscalculated her assault, and the young princess & her kingdom lived happily ever after.
 

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