26 citations · 46 across the 10 of their papers we have counts for
10 papers
An Affine Approach to Metric Invariants of Poncelet Polygons
Mohammad Hassan Murad
We prove that the total area of the power circles associated with an odd -gon inscribed in and circumscribed about a pair of homothetic ellipses remains invariant throughout the…
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…
Parable of the Parabola
Vladimir Dragović, Mohammad Hassan Murad
We study triangles and quadrilaterals which are inscribed in a circle and circumscribed about a parabola. Although these are particular cases of the celebrated Poncelet's Theorem,…
Poncelet pairs of a circle and parabolas from a confocal family and Painlevé VI equations
Vladimir Dragović, Mohammad Hassan Murad
We study pairs of conics , called \textit{-Poncelet pairs}, such that an -gon, called an \textit{-Poncelet polygon}, can be inscribed into $\mat…
Some new Wyman-Adler type static relativistic charged anisotropic fluid spheres compatible to self-bound stellar modeling
Mohammad Hassan Murad, Saba Fatema
In this work some families of relativistic anisotropic charged fluid spheres have been obtained by solving Einstein-Maxwell field equations with preferred form of one of the metric…
A family of well behaved charge analogues of Durgapal's perfect fluid exact solution in general relativity
Mohammad Hassan Murad, Saba Fatema
This paper presents a new family of interior solutions of Einstein-Maxwell field equations in general relativity for a static spherically symmetric distribution of a charged perfec…
A new well behaved class of charge analogue of Adler's relativistic exact solution
Mohammad Hassan Murad
The paper presents a new class of parametric interior solutions of Einstein-Maxwell field equations in general relativity for a static spherically symmetric distribution of a charg…