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math.GM2012★ 8 cited
A Geometric Way to Generate Blundon Type Inequalities
Dorin Andrica, Catalin Barbu, Nicusor Minculete
We present a geometric way to generate Blundon type inequalities. Theorem 3.1 gives the formula for cosPOQ in terms of the barycentric coordinates of the points P and Q with respec…
math.GM2011
A new proof of Menelaus's Theorem of Hyperbolic Quadrilaterals in the Poincaré Model of Hyperbolic Geometry
Florentin Smarandache, Catalin Barbu
In this study we give the hyperbolic version of classical Menelaus theorem for quadrilaterals.
math.GM2010★ 2 cited
Smarandache's Cevian Triangle Theorem in The Einstein Relativistic Velocity Model of Hyperbolic Geometry
Catalin Barbu
In this note, we present a proof of Smarandache's cevian triangle hyperbolic theorem in the Einstein relativistic velocity model of hyperbolic geometry.