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/sci/ - Science & Math


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2935318 No.2935318 [Reply] [Original]

Underagefag here.

I need to prove Thales theorem (Intercept theorem) and I can't wrap my head around it. Could someone help or at least clarify how to do claim 1 of the proof ?

Much appreciated. Pic unrelated

>> No.2935542

Shameless self bump

>> No.2935553

http://en.wikipedia.org/wiki/Thales%27_theorem#Proof

>> No.2935587

>>2935553

Thanks, but I meant the Intercept Theorem (also called Thales) not that one.

>> No.2935654

It's the last one I have to prove and I can move to more advanced maths. Any suggestion ?

>> No.2935687

This is just based on similar triangles. What exactly is the issue?
http://en.wikipedia.org/wiki/Intercept_theorem

>> No.2935690

http://en.wikipedia.org/wiki/Intercept_theorem#Proof

>> No.2935720

I don't get the first step. (The congruent triangles : equal altitudes)

>> No.2935758

You're aware that triangles with the same height and base length have the same area, correct? The distance between parallel lines is the height in this case, and length CA is the base. Add triangle SCA to each of those and you get the next equivalence.

>> No.2935805
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2935805

I got it now. Thanks!

Btw, any tips on where to begin with mathematical logic ? Explicitly logic operations and statements. I've looked on khanacademy

>> No.2935825

This is probably the best thing I can find in a pinch.
http://rutherglen.science.mq.edu.au/wchen/lndmfolder/dm01.pdf
Google 'discrete math logic' if you're desperate for more.

>> No.2935826

>>2935805
do chapter 2
http://www.megaupload.com/?d=1WXH71B5

>> No.2935854
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2935854

Thanks alot.
You really came through.