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/sci/ - Science & Math


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File: 29 KB, 742x759, circle.jpg [View same] [iqdb] [saucenao] [google]
9721484 No.9721484 [Reply] [Original]

Why didn't Euclid ever prove that rect.BCEC = rect. ACDC?

>> No.9721527

Power of point? He did.

>> No.9721619

>>9721527
Which prop? Closest I see is III. 36

>> No.9721643

>>9721619
Both III.35 and 36

>> No.9721645

>>9721643
Yeah but III. 36 isn't pic related, it deals with ONE of the lines in pic related instead of two.

And III. 35 has to happen within the circle.

>> No.9721674

>>9721645
Oh, then I don't know.

>> No.9721968

>>9721645
>Not realizing III. 36 clearly implies the statement in the OP.

>> No.9723261
File: 8 KB, 233x216, 1521290419948.jpg [View same] [iqdb] [saucenao] [google]
9723261

Where can I find the book?

>> No.9723267

>>9721484
this is obviously not true, because rect BCEC could be near zero, and rect ACDC could be fairly big
untrue statements are difficult to prove, so thats why euclid didn't prove it

>> No.9723357

>>9723267
Not true. If CE is near zero then C is close to the circle and therefore so is CD