1 citations · 4 across the 10 of their papers we have counts for
4 papers · 1 filter
Caustics of a Paraboloid and Apollonius Problem
Yagub N. Aliyev
We study caustics of an elliptical paraboloid and the history of their various representations from 3D models in XIX century to the recent computer graphics. In the paper two ways…
The dual of Philo's shortest line segment problem
Yagub N. Aliyev
We study the dual of Philo's shortest line segment problem and find the optimal line segments passing through two given points, with a common endpoint, and with the other endpoints…
The extremal values of the ratio of differences of power mean, arithmetic mean, and geometric mean
Yagub Aliyev
In the paper the maximum and the minimum of the ratio of the difference of the arithmetic mean and the geometric mean, and the difference of the power mean and the geometric mean o…
Inequalities about the area bounded by three cevian lines of a triangle
Yagub N. Aliyev
In the paper we prove generalization of Schlömilch's and Zetel's theorems about concurrent lines in a triangle. This generalization is obtained as a corollary of sharp geometric in…