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Faýl:Pythag anim.gif

Pythag_anim.gif ‎(200 × 200 piksel, faýlyň ölçegi: 64 KB, MIME tipli: image/gif, halkaly, 31 kadr, 6,8 s)

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English: Animation of a proof of Pythagoras' theorem, showing how by rearranging triangles the areas a2 + b2 and c2 can be shown to be the same. The area of the outer square never changes, and the total area of the four right triangles is the same at both the beginning and the end, therefore the black area at the beginning, a2 + b2, must equal the black area at the end, c2. The angle of the triangles is arbitrary, therefore this works as a general proof. To be more explicit...


The situation at the start is:

Area_of_the_Outer_Square - (4 x Area_of_a_Triangle) = a2 + b2

...and the situation at the end is:

Area_of_the_Outer_Square - (4 x Area_of_a_Triangle) = c2

The values on both left-hand sides of these two equations are exactly the same (only positions have changed) therefore the values on the right-hand sides must also be exactly the same: a2 + b2 = c2.
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Awtor JohnBlackburne

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Faýlyň taryhy

Faýlyň geçmişini görmek üçin Sene/Wagt bölümündäki senelere tyklaň.

Sene/WagtMiniatýuraÖlçeglerUlanyjyTeswir
häzirki13:36, 9 fewral 201213:36, 9 fewral 2012 senesindäki wersiýanyň miniatýurasy200 × 200 (64 KB)TdadamemdFour minor tweaks: 1) Reverse loop added to appear continuous instead of staggered, 2) Whole image rotated so that the letters are read in the same sequence that the theorem is typically stated, 3) Dashed line added to explicitly identify the 'a' and 'b'
00:05, 8 noýabr 201000:05, 8 noýabr 2010 senesindäki wersiýanyň miniatýurasy200 × 200 (32 KB)JohnBlackburne{{Information |Description={{en|1=Animation of a proof of Pythagoras's theorem, showing how by rearranging triangles the areas c<sup>2</sup> and a<sup>2</sup> + b<sup>2</sup> can be shown to be the same}} |Source={{own}} |Author=[[User:JohnBlackburne|John

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