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On a Geometrical Problem

Published online by Cambridge University Press:  20 January 2009

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Stewart, a Scotch geometrician, gave in 1763 the demonstration of the following theorem: “If we divide the base of a triangle into two segments by a straight line going through the vertex, the sum of the squares of the two sides, multiplied each by the non-adjacent segment, is equal to the product of the base multiplied by the square of the straight line plus the rectangle contained by the two segments.”

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1897

References

* Sur le théorème de Stewart (Revue de I'Instruction Publique), Bruxelles, 1887; applications remarquables du théorème de Stewart et theorie du barycentre, Bruxelles, 1891.

El Progreso Matemático, Zaragoza, 1892, pp. 62, 94, 124.Google Scholar

Clément Thiry, Op. cit., p. 6.