Skip to main content

Timeline for Proofs without words

Current License: CC BY-SA 3.0

12 events
when toggle format what by license comment
Nov 17, 2016 at 0:46 comment added Simply Beautiful Art This post is very much related to this.
S Nov 19, 2015 at 17:14 history suggested B.N. CC BY-SA 3.0
corrected image link
Nov 19, 2015 at 17:03 review Suggested edits
S Nov 19, 2015 at 17:14
Oct 20, 2015 at 16:05 comment added Todd Trimble @StevenGubkin If you still have it, could you put the picture back in? No one can see it.
Jul 10, 2011 at 15:41 comment added Steven Gubkin Yup, I have drawn pictures for all of those as well, but this always seemed like the simplest one. Never understood why this isn't in calculus books.
Jul 8, 2011 at 21:00 comment added Phil Isett Leibniz actually did this drawing. It's very nice because you can teach it to undergrads. You can do the same with any of the trig functions and their inverses. For tangent, you can extend the hypotenuse of the above triangle until it intersects the line tangent at the point $1$ (assuming this is the unit circle in the complex plane). Then you get a triangle with base $1$, height tangent, and hypotenuse secant. For cosecant and cotangent, you draw a tangent line from the point i. Then through similar triangles you can differentiate all these functions and their inverses.
Feb 18, 2011 at 20:10 history edited Steven Gubkin CC BY-SA 2.5
added 6 characters in body; added 55 characters in body; deleted 55 characters in body
Nov 16, 2010 at 19:09 comment added I. J. Kennedy It looks like your image is no longer available...
Nov 11, 2010 at 17:41 history undeleted Ben Webster
Jul 7, 2010 at 16:58 history deleted Kim Morrison
Dec 15, 2009 at 1:37 history edited Steven Gubkin CC BY-SA 2.5
Hmm. I can't seem to get this image to display.; deleted 4 characters in body
Dec 15, 2009 at 1:31 history answered Steven Gubkin CC BY-SA 2.5