Rational quadrilaterals
نویسندگان
چکیده
منابع مشابه
Characterizations of Orthodiagonal Quadrilaterals
We prove ten necessary and sufficient conditions for a convex quadrilateral to have perpendicular diagonals. One of these is a quite new eight point circle theorem and three of them are metric conditions concerning the nonoverlapping triangles formed by the diagonals. 1. A well known characterization An orthodiagonal quadrilateral is a convex quadrilateral with perpendicular diagonals. The most...
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We prove eight necessary and sufficient conditions for a convex quadrilateral to have congruent diagonals, and one dual connection between equidiagonal and orthodiagonal quadrilaterals. Quadrilaterals with both congruent and perpendicular diagonals are also discussed, including a proposal for what they may be called and how to calculate their area in several ways. Finally we derive a cubic equa...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1963
ISSN: 1385-7258
DOI: 10.1016/s1385-7258(63)50020-1