Brahmagupta's formula - Wikipedia
In Euclidean geometry, Brahmagupta's formula, named after the 7th century Indian mathematician, is used to find the area of any convex cyclic quadrilateral (one that can be …
Brahmagupta's Formula | Brilliant Math & Science Wiki
Brahmagupta's formula is a special case of Bretschneider's formula as applied to cyclic quadrilaterals. Bretschneider's formula states that the area of a quadrilateral is given by ...
Brahmagupta's Formula for the Area of a Cyclic Quadrilateral
If ABCD is a quadrilateral with sides of length a, b, c, and d, such that ABCD is both cyclic and has a circle inscribed in it, then use Brahmagupta's formula to show that the area of the …
婆罗摩笈多公式 - 百度百科
婆罗摩笈多公式的基本形式和扩充形式，就像由 勾股定理 扩充至 余弦定理 一般。 欧氏平面几何中，婆罗摩笈多公式是用以计算四边形的面积。 它最常用于计算圆内接四边形面积。
Brahmagupta's Formula - Art of Problem Solving
Brahmagupta's Formula is a formula for determining the area of a cyclic quadrilateral given only the four side lengths, given as follows: where , , , are the four side lengths and . If we draw , …
Brahmagupta's Formula -- from Wolfram MathWorld
2024年12月9日 · For a general quadrilateral with sides of length a, b, c, and d, the area K is given by (1) where s=1/2 (a+b+c+d) (2) is the semiperimeter, A is the angle between a and d, and B …
Brahmagupta's Formula - ProofWiki
2024年12月6日 · This formula is a generalization of Heron's Formula for the area of a triangle, which can be obtained from this by setting $d = 0$. The relationship between the general and …
Brahmagupta's Formula and Theorem - Alexander Bogomolny
Brahmagupta - an Indian mathematician who worked in the 7th century - left (among many other discoveries) a generalization of Heron's formula: The area $S$ of a cyclic quadrilateral with …
Brahmagupta | The Great Indian Mathematician and Astronomer
2020年9月22日 · Brahmagupta Formula. Brahmagupta found the formula for cyclic quadrilaterals though he did not focus on the cyclic character of the figure. Given the lengths of the sides of …
Brahmagupta's Formula
Brahmagupta's Formula Prove: For a cyclic quadrilateral with sides of length a, b, c, and d, the area is given by . where s is the semiperimeter. Given: Draw chord AC. Extend AB and CD so …