Can anyone please provide me a proof,directly or a link for Ptolemy's Second Theorem? Maybe it is also known as Mahavira's Result.

Question

I referred to website www.cut-the-knot.org/proofs/ptolemy.shtml and www.mathafou.free.fr/themes_en/kptol.html but the material was not satisfactory and a little complicatedly represented. Thank you!

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Explanation for the downvote? – Hawk Feb 08 '14 at 09:17

score 2 · Accepted Answer · edited Apr 13 '17 at 12:21

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You can find the answer here at the link given below:

Let $ABCD$ be a cyclic quadrilateral with side lengths $AB=p,BC=q,CD=r,DA=s$.Show that $\dfrac{AC}{BD}=\dfrac{ps+qr}{pq+rs}$.

Good Luck!

edited Apr 13 '17 at 12:21

Community

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answered Feb 11 '14 at 10:31

Swadhin

1,381

Though the link you provided is from my question...but it is correct! Thanks anyway. – Hawk Feb 11 '14 at 10:38

Can anyone please provide me a proof,directly or a link for Ptolemy's Second Theorem? Maybe it is also known as Mahavira's Result.

1 Answers1