Special cases of hyperbolic parallelograms on the Lobachevsky plane (Q2155155)
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| Language | Label | Description | Also known as |
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| English | Special cases of hyperbolic parallelograms on the Lobachevsky plane |
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Special cases of hyperbolic parallelograms on the Lobachevsky plane (English)
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15 July 2022
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A hyperbolic parallelogram is a quadrangle whose opposite sides are asymptotically parallel. A hyperbolic rectangle is a hyperbolic parallelogram whose diagonals are congruent. A hyperbolic square is a hyperbolic parallelogram whose diagonals are perpendicular and congruent. This paper is devoted to the proof of the existence of hyperbolic rectangles and of hyperbolic squares by means of computations in the Beltrami-Cayley-Klein model of hyperbolic geometry.
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hyperbolic plane
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Cayley-Klein model
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hyperbolic parallelogram
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hyperbolic rhombus
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hyperbolic rectangle
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hyperbolic square
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