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Tangential Trapezoid
In Euclidean geometry, a tangential trapezoid, also called a circumscribed trapezoid, is a trapezoid whose four sides are all tangent to a circle within the trapezoid: the incircle or ''inscribed circle''. It is the special case of a tangential quadrilateral in which at least one pair of opposite sides are parallel. As for other trapezoids, the parallel sides are called the bases and the other two sides the ''legs''. The legs can be equal (see isosceles tangential trapezoid below), but they don't have to be. Special cases Examples of tangential trapezoids are rhombi and squares. Characterization If the incircle is tangent to the sides and at and respectively, then a tangential quadrilateral is also a trapezoid with parallel sides and if and only if :\overline \cdot \overline = \overline \cdot \overline and and are the parallel sides of a trapezoid if and only if :\overline \cdot \overline = \overline \cdot \overline. Area The formula for the area of a trapezoid c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tangential Trapezoid
In Euclidean geometry, a tangential trapezoid, also called a circumscribed trapezoid, is a trapezoid whose four sides are all tangent to a circle within the trapezoid: the incircle or ''inscribed circle''. It is the special case of a tangential quadrilateral in which at least one pair of opposite sides are parallel. As for other trapezoids, the parallel sides are called the bases and the other two sides the ''legs''. The legs can be equal (see isosceles tangential trapezoid below), but they don't have to be. Special cases Examples of tangential trapezoids are rhombi and squares. Characterization If the incircle is tangent to the sides and at and respectively, then a tangential quadrilateral is also a trapezoid with parallel sides and if and only if :\overline \cdot \overline = \overline \cdot \overline and and are the parallel sides of a trapezoid if and only if :\overline \cdot \overline = \overline \cdot \overline. Area The formula for the area of a trapezoid c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
