Makar Plakhotnyk

collaborators

2 papers

math.HO2016

On the history of the Ulam's Conjugacy

Makar Plakhotnyk

We show the results on the history of the invention of the conjugacy $h (x) = \frac{2}{π} arcsin x$ of one-dimensional $[0, 1] \to [0, 1]$ maps $f (x) = 4 x (1 - x)$ and $g(x)…

math.HO2016

Possibility of the use of Cartesian method in the proofs of fundamental theorems of school planimetry

Makar Plakhotnyk

We show how Cartesian method can be used in the proof of fundamental planimetric topics of the school course, such as introduction of trigonometric functions, equation of a line an…