Elements of Geometry: Plane geometryAmerican Book Company, 1896 - Geometry |
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Page 143
... The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides . * B b y х 8 с ย α GIVEN the right triangle ABC right angled at A , with sides a , TO PROVE b2 + c2 = a2 . Draw AD perpendicular ...
... The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides . * B b y х 8 с ย α GIVEN the right triangle ABC right angled at A , with sides a , TO PROVE b2 + c2 = a2 . Draw AD perpendicular ...
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Common terms and phrases
AC AC adjacent angles altitude angles of parallel apothem base and altitude bisector bisects centre chord circumference circumscribed circle coincide construct a square decagon Def.-The diagonals diameter distance divided draw drawn equally distant equilateral triangle Exercise.-If exterior angle external tangents figure Find the area given circle given line given point given square given straight line GIVEN TO PROVE given triangle Hence homologous sides hypotenuse included angle intersection isosceles triangle locus mean proportional middle points number of sides opposite sides parallel to BC parallelogram perpendicular Q. E. D. PROPOSITION quadrilateral radii ratio of similitude rect rectangle regular inscribed regular polygon respectively equal right angles right triangle secant segments similar polygons similar triangles square equivalent straight line joining tangent THEOREM third side triangle ABC triangle is equal triangle whose sides vertex vertices
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