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Apr 9, 2021 at 5:01 comment added bathalf15320 Yes, the use of "in my book" was idiomatic--I stupidly didn't realise that in this context a literal interpretation would have been quite reasonable. Since the equation I gave is just a rearrangement of Heron, an explicit reference isn't required. Glad to have been of assistance.
Apr 9, 2021 at 4:39 comment added Taras Banakh @bathhalf15320 Thank you very much for your answer. It was very helpful. In fact, my formulas involved $q$ in the subformula $\sqrt{3−6q}$ and now I understand what this subformula actually means: it is the normalized area of the triangle! Great! I would like to write acknowledgement to your help. Should I write your nick bathhalf15320 or some real name will be better? Thank you.
Apr 9, 2021 at 4:35 comment added Taras Banakh @asahay Ups! But at least this paper about Heron formula maa.org/sites/default/files/images/upload_library/22/Ford/… is quite real. I then rewrite what I wanted to say to user bathhalf5320.
Apr 8, 2021 at 22:48 comment added Anurag Sahay I believe the book mentioned in the answer is idiomatic. See, for example dictionary.cambridge.org/us/dictionary/english/in-my-book
Apr 8, 2021 at 21:43 vote accept Taras Banakh
Apr 8, 2021 at 19:43 comment added მამუკა ჯიბლაძე @darijgrinberg This should be an (perhaps the) answer, I think.
Apr 8, 2021 at 18:34 comment added darij grinberg Note that $\dfrac{4A}{a^2+b^2+c^2}$ is the tangent of the Brocard angle $\omega$. Thus, $q = \left(1-\tan^2\omega\right)/2$.
Apr 8, 2021 at 18:19 history answered bathalf15320 CC BY-SA 4.0