De Gua's theorem is a three-dimensional analog of the Pythagorean theorem, named after the French mathematician Jean Paul de Gua de Malves. It states that if a tetrahedron has a right-angle corner, like the corner of a cube, then the square of the area of the face opposite that corner equals the sum of the squares of the areas of the tetrahedron's other three faces. The theorem can also be used to prove a special case of Heron's formula.
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Source Charles de Tinseau d'Amondans (Wikipedia)
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1. De Gua's theorem (Wikipedia)
Charles de Tinseau d'Amondans (Wikipedia)
Principal Result Of: Charles de Tinseau d'Amondans, Lead, principal resultQuote, Principal Result Of: Charles de Tinseau d'Amondans, Lead, principal result
The more influential of the two papers was Sur quelques propriétés des solides renfermés par des surfaces composées des lignes droites, in which he demonstrates what is today known as De Gua's theorem.
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