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math.HO2023
Some optimization problems with calculus
Arkady Kitover, Mehmet Orhon
Starting from the well-known and elementary problem of inscribing the rectangle of the greatest area in an ellipse, we look at possible, gradually more and more complicated variant…
math.HO2020
Morley Trisectors and the Law of Sines with Reflections
Eric L. Grinberg, Mehmet Orhon
We invoke the Law of Sines to prove Morley's Trisector Theorem. Though the sinusoidal function appears, the proof is safe for the trigonometrically distanced.
math.HO2015
On a Calculus Textbook Problem
Arkady Kitover, Mehmet Orhon
We consider generalizations of a well known elementary problem. A wire of the fixed length is cut into two pieces, one piece is bent into a circle and the second one into a square.…