Talk:Intercept theorem

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Error in calculating the pyramid's height?

The article says:

C=2m+63m+{\frac {230m}{2}}=180m

But why is the addition of "2m" needed? It seems an error. —Preceding unsigned comment added by 93.172.84.58 (talk) 07:34, 24 August 2009 (UTC)[reply]

You are correct, the 2m are actually included in the 63m shadow of the pyramid. I'll fix it.--Kmhkmh (talk) 08:09, 24 August 2009 (UTC)[reply]

Thanks. One more thing: I think "shadow of the pole (A)" should be changed to "shadow of the pole (B)".

About calculating the pyramid's height

It might be worth explaining that the two triangles (the pyramid's and the pole's) are similar only because the sun is very far and is thus practically "at inifinity". This makes the angle at the top of the triangles congruent. The picture is misleading because it shows the sun very low and thus it's not clear why the hypotenuse of the pole's triangle has the same slope as that of the pyramid's triganle. —Preceding unsigned comment added by 93.173.110.65 (talk) 01:11, 26 August 2009 (UTC)[reply]

Proof

Is it only me or the proof given in the article is way too complicated? I suggest this one:

That's exactly what the proof does, that picture is just a rotated version of the one in the proof.--Kmhkmh (talk) 15:36, 18 February 2011 (UTC)[reply]

Haha, sorry, I didn't know that notation of $|\triangle CDA|=|\triangle CBA|$ , so I stopped reading the proof and did not pay attention on the figure. Then I went searching for another proof, my mistake, hehe. Thanks for the attention.

What is claim 4?

It says "Claim 4 can be shown by applying the intercept theorem for two lines." But what can be shown? What is claim 4? — Preceding unsigned comment added by 27.255.243.2 (talk) 09:52, 15 July 2015 (UTC)[reply]

temporary removal

I temporarly removed the following section, because for one it was unsourced but more importantly it lacks a proper explanation of the complex construction and its goal. I assume this is meant as a practical example for role the intercept theorem plays for the set of constructable numbers (explained further up in the article). However it might be be better choice to to construct a simpler 2 digits number to illustrate mechanics rather than going for a pi approximation. But in any to make such a picture a useful addition to the article, it requires some more detailed explanatory description.--Kmhkmh (talk) 01:39, 1 October 2015 (UTC)[reply]

The construction of a decimal number

A practical example of the intercept theorem in combination with number line.