Talk:Method of exhaustion

message: "The area bounded by one spiral rotation and a line is 1/3 that of the circle having a radius equal to the line segment length" - doesn't this depend on the type of spiral?  —Preceding unsigned comment added by 193.172.19.20 (talk) 18:36, 28 November 2007 (UTC)
replies: text: Yes, this depends on the type of spiral.  Archimedes used the spiral of r = aθ, which a is a constant and (r, θ) means a polar coordinates system.  cf.  --Ttwo (talk) 14:10, 3 August 2010 (UTC)
thread_title: area in a spiral

message: Are there occurrences/applications using computers, now that sums can be done much more easily?  Or are they all done using Riemann sums?  —Preceding unsigned comment added by 128.100.71.134 (talk) 14:25, 19 September 2008 (UTC)
replies: text: One of the basic numerical integration methods (as used by computers) is the Trapezoidal Rule which is analogous to Method of Exhaustion (except it occurs in one dimension). Added the reference to See Also section... Cowbert (talk) 09:21, 18 October 2009 (UTC)
thread_title: Computer applications?

message: "    * The area bounded by the intersection of a line and a parabola is 4/3 that of the triangle having the same base and height;
    * The area of an ellipse is proportional to a rectangle having sides equal to its major and minor axes;
    * The volume of a sphere is 4 times that of a cone having a base and height of the same radius;
    * The volume of a cylinder having a height equal to its diameter is 3/2 that of a sphere having the same diameter;
    * The area bounded by one spiral rotation and a line is 1/3 that of the circle having a radius equal to the line segment length;
    * Use of the method of exhaustion also led to the successful evaluation of a geometric series (for the first time)."
There needs to be images associated with these area/volume formulas.  Also, the volume of a cone compared to a sphere is not exactly clearly stated.
Vol_sphere=4 * Vol_cone, if b=h=r
A beginner would likely assume that the radius of the base of the cone, and the height are the same, but still wouldn't be sure this was correct?  This could be a lot clearer with a diagram...  Are there any already on the site?  —Preceding unsigned comment added by JWhiteheadcc (talk • contribs) 02:36, 17 December 2007 (UTC)
thread_title:  Area/Volume Descriptions 

message: In the section Used by Archimedes (now called Application by Archimedes), the positioning of the images, pi box and list is very awkward. I removed the pi box and replaced with a "main article" link as it is excessive emphasis on links to pi, which are far less important than the diagram itself and the actual content of the section. That one link to pi, from which a reader can find out much more on pi, is plenty. Also the box extends too far down the page into the See also and Notes and references sections...F = q(E+v×B) ⇄ ∑ici 14:05, 19 May 2012 (UTC)
thread_title:  image + box 

message: Um…has anyone noticed that none of the work that give the results mentioned on the page via the method of exhaustion is shown in the article?  Don't you think that showing all of the work involved here would help people understand what the article is trying to convey?  
— RandomDSdevel (talk) 21:13, 29 September 2013 (UTC)
thread_title:  Where's the Work!?!