26 citations · 46 across the 10 of their papers we have counts for
4 papers · 1 filter
Siebeck--Marden Theorems and Symmetric Parametrizations of Cyclic Polygons
Mohammad Hassan Murad
The classical Blaschke-product approach provides an elegant description of triangles inscribed in a circle and circumscribed about an ellipse. Motivated by the Siebeck--Marden theo…
A Symmetric Polynomial Approach to Poncelet Triangles Inscribed in a circle and circumscribed about Central Conics
Mohammad Hassan Murad
We develop a symmetric-polynomial framework for the study of one-parameter families of Poncelet triangles. For triangles inscribed in the unit circle and circumscribed about a cent…
A Vector Generalization of Euler's Quadrilateral Theorem
Mohammad Hassan Murad
In this paper, we develop a unified algebraic framework for Euler-type identities in real and complex inner product spaces. Starting from the parallelogram identity, we derive Apol…
Generalized Chapple--Euler Relation
Vladimir Dragović, Mohammad Hassan Murad
We provide a new proof of the necessary and sufficient condition for a triangle to be circumscribed about a central conic (ellipse or hyperbola), expressed in terms of the circumra…