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About to Euclid S Proposition 13 Linear Pair Theorem

If a straight line stands on a straight line, then the two angles it makes with the straight line sum up to 180 degrees. Find a mean proportional of two numbers (A:B = B:C, B is the mean proportional of A and C) Here, with some struggling (just woke up!) the groundwork is being laid down towards proof of the next major Mr Burnham's step by step board presentation of Book 3, Supplimentary angles are equal to two right angles. Mr Bradley's step by step board presentation of Book 2,

... is equal to the length of C so using our second

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If a straight line stands on a straight line, then the two angles it makes with the straight line sum up to 180 degrees.

Euclid's Elements Book 1, Proposition 13
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Last Updated: May 26, 2026

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