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Brahmagupta's Formula Rsources
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Definition
Brahmagupta's formula gives the area of a general quadrilateral given the lengths of its sides and two angles.
In its basic form, Brahmagupta's formula gives the area of a cyclic quadrilateral (inscribed in a circle) whose side lengths are: a, b, c, d:
where s is the semiperimeter:
Background Information
- Brahmagupta's formula - MathWorld [View Resource]
- Brahmagupta's formula - Wikipedia [View Resource]
- Who Was Brahmagupta? - Full MacTutor biography [View Resource]
- Proof of Brahmagupta's formula - PlanetMath [View Resource]
- Brahmagupta's Formula Proof [View Resource]
- Brahmagupta's Formula [View Resource]
- Brahmagupta’s formula for area of a cyclic quadrilateral [View Resource]
- Hero’s and Brahmagupta’s Formulas [View Resource]
K-12 Lesson Plans and Science Fair Projects
- Triangular Discoveries: A Look into Heron's Formula and Beyond [View Resource]
- The Quadratic Formula [View Resource]
- Investigate whether it's possible to expand Hero’s Theorem and Brahmagupta’s Formula to find the area of any convex pentagon/hexagon [View Resource]
Articles and Studies
- A Proof of the Pythagorean Theorem From Heron's Formula [View Resource]
- Heron, Brahmagupta, Pythagoras, and the Law of Cosines Expository Paper [View Resource]
- Mechanical Formula Derivation in Elementary Geometries [View Resource]
- Cyclic Polygons with Rational Sides and Area [View Resource]
- Relationship Between Shadow Length and Time of Day [View Resource]
Theses and Dissertations
- Some congruence properties of Pell’s equation [View Resource]
- Solvability of polynomial equations over the rational field [View Resource]
- Early treatises introducing into Europe the Hindu art of reckoning (1914!) [View Resource]
See also:
- Heron's Formula [View Resource]
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