<!DOCTYPE html> <html> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> </head> <body text="#000000" bgcolor="#FFFFFF"> Nice. I guess you think about the next step, to introduce them how to simulate these two historical approaches with programming. You may want to even write it visually, you will find examples in DrGeo Smalltalk Sketch for pi approximations. The Spanish DSL will help a bit to write DrGeo commands in Spanish, however the Smalltalk extentions I translated in French are not yet translated to Spanish. So written only in English, this gives these instructions: <img src="cid:part1.ThvcsTci.FiNJBRj9@free.fr" alt="" width="731" height="383"> Regarding the Archimedes methods, I have examples. It is easier to implement as you can ask DrGeo the length of the regular polygon. In both examples, the user observes visually what is going on with animation. Hilaire <div class="moz-cite-prefix">Le 02/01/2024 à 11:59, Juan Vuletich via Cuis-dev a écrit : </div> <blockquote type="cite" cite="mid:6593EC7A.9010107@cuis.st">For the second session I wanted to play with real numbers, so we tried two ways of computing Pi. The first one was to "draw" a circle on a grid, and take the number of points in the grid that lie inside the circle (using the x^2+y^2 <= r formula), divide that by the total number of points. And do that for increasingly larger grids, to improve the approximation. This one is interesting because it only uses integers. But it is slow. Then we tried another method, that is the perimeter of an inscribed polygon of increasing number of sides. This later one can be done without trigonometry, but it requires sqrt() to normalize the vertexes, hence Float. These are way more complicated things that what we did before, so I went slower, and explained my solution on my computer as I guided them on writing their own. So I didn't push them too much and they didn't get frustrated. I guess the ability to write the solution completely on their own requires a bit more time and practice, and my objective is to engage them, not scare them. They still could really understand what we were doing, and appreciate the kind of thinking involved. </blockquote> <pre class="moz-signature" cols="72">-- GNU Dr. Geo <a class="moz-txt-link-freetext" href="http://gnu.org/s/dr-geo/">http://gnu.org/s/dr-geo/</a> <a class="moz-txt-link-freetext" href="http://gnu-drgeo.blogspot.com/">http://gnu-drgeo.blogspot.com/</a></pre> </body> </html>