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== Suidas wrote the original document ? ==
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:John Gabriel and/or his IP will be blocked again if he persists in making disruptive edits. [[User:Tkuvho|Tkuvho]] ([[User talk:Tkuvho|talk]]) 08:53, 25 June 2013 (UTC)
::Good [[Special:Contributions/84.216.157.87|84.216.157.87]] ([[User talk:84.216.157.87|talk]]) 09:20, 10 September 2023 (UTC)
:See http://en.wikipedia.org/w/index.php?title=Special:Log/block&page=User%3A12.176.152.194 [[User:Tkuvho|Tkuvho]] ([[User talk:Tkuvho|talk]]) 09:04, 25 June 2013 (UTC)
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== Truthfulness of a claim in this article ==
I find this paragraph in this article:<blockquote>Archimedes used exhaustion to prove his theorems. This involved approximating the figure whose area he wanted to compute into sections of known area, which provide upper and lower bounds for the area of the figure. He then proved that the two bounds become equal when the subdivision becomes arbitrarily fine. These proofs, still considered to be rigorous and correct, used geometry with rare brilliance. Later writers often criticized Archimedes for not explaining how he arrived at his results in the first place. This explanation is contained in The Method.</blockquote> Is there some reason to think this is true? A line parallel to the axis of a parabola, drawn through the midpoint of a chord of the parabola, intersects the parabola, so that that point of intersection is one vertex of a triangle whose other vertices are the endpoints of the chord. Archimedes said the area bounded by that chord and the curve has 4/3 the area of that triangle. To show that he looked at the two other chords that are the other two sides of the triangle. With each of those two chords, he constructed a triangle in the same way. He showed that each of those two triangle has 1/8 the area of the first triangle, so that the sum of those two areas is 1/4 the first area. Then he iterated the process, getting <math display="block"> 1 + \tfrac14 + \tfrac 1{4^2} + \tfrac1{4^3} + \cdots = \tfrac43. </math> The argument in the Palimpsest for the area bounded by the curve and the chord is radically different from that. It does not appear to explain in any way how he found that argument.<p><p>Moreover, is there some reason to think somebody criticized him for not explaining how he arrived at that result? That should be cited. And I doubt it can be. [[User:Michael Hardy|Michael Hardy]] ([[User talk:Michael Hardy|talk]]) 18:39, 3 August 2023 (UTC)
:The entire section on ''The Method of Mechanical Theorems'' is unsourced. The part that you mentioned looks like unsourced commentary which isn't ideal.--'''''[[User:ianmacm|<span style="background:#88b;color:#cff;font-variant:small-caps">♦Ian<span style="background:#99c">Ma<span style="background:#aad">c</span></span>M♦</span>]] <sup>[[User_talk:ianmacm|(talk to me)]]</sup>''''' 18:50, 3 August 2023 (UTC)
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