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It’s probably much too late for this, but the heart of the (geometric) analogy between circular and hyperbolic trigonometric functions is that circles and hyperbolas have internal symmetries visibly parametrized by a geometric area.
Now, obviously there are things the analogy does not capture, and there are things that obscure the analogy. For instance, the hyperbolic symmetry (which is a genuine symmetry!) does not play nice with the ordinary lengths of things in the plane; however, my
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Wow. That was a big title. This post comes out of a number of conversations at Twitter Math Camp, but in particular a conversation with Justin Lanier, Michael Pershan, Malke Rosenfeld, and a rotating cast of others about the changing role of Twitter and blogs in the MTBoS. A topic we returned to a number […]

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To call in the statistician after the experiment is done may beno more than asking hm to perform a postmortem examination: he may be able to say what the experiment died of. ~Ronald Fisher The 210th day of the year; (21, 20, 29) and (35, 12, 37) are the two least primitive Pythagorean triangles with different hypotenuses and the same area (=210). Students are challenged to find another pair of such PPTs EVENTS1654 Pascal wrote a letter to Fermat agreeing to a result of Fermat on a probability […]

maxtuno tweeted: @maxtuno

Apocalypse I Mvt by O. A. Riveros http://t.co/b97neo9yoN
(read description on track)

2014-07-29 07:05:44

Vincent_Knight commented on Game Theory and Pavement Etiquette

Thanks Dana!

2014-07-29 06:59:56

evelynjlamb tweeted: @evelynjlamb

Gah, trying to wash the sheets/towels before we return the keys to our place so we will seem considerate, & I can't make the machine start.

2014-07-29 06:55:18

MindAfterMath tweeted: @MindAfterMath

2014-07-29 06:51:57

rmathematicus tweeted: @rmathematicus

Having fun with the equation of time http://t.co/w8FU4muXKi Footnote: The correct plural of analemma is analemmata

2014-07-29 06:48:05

rmathematicus tweeted: @rmathematicus

@andrescaicedo @replicakill I know what you mean.

2014-07-29 06:45:34

rmathematicus tweeted: @rmathematicus

RT @JohnWFarrell Launching Today: The Georges Lemaître: Last Of The European ATV Space Vehicles http://t.co/U8lFwkgemC via @forbes

2014-07-29 06:44:48

rmathematicus tweeted: @rmathematicus

@MathsBooks "In der Wiege der Wahrscheinlichkeitstheorie" Only if you ignore Cardano one hundred years earlier ;))

2014-07-29 06:40:39

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