 The sum of the squares of two sides of a triangle is equal to twice the square of half the third side increased by twice the square of the median upon that side.  Plane and Solid Geometry - Page 139by Seth Thayer Stewart - 1891 - 406 pagesFull view - About this book
 | Mathematics - 1836 - 798 pages
...supplement of all the other angles. (12.) QUESTION II. By Prof. Lane, Weslcyan University. Prove that the sum of the squares of any two sides of a triangle is greater than four times the area. (13.) QUESTION III. By Mr. D. Kirkwood. Solve the four equations... | |
 | George Clinton Whitlock - Mathematics - 1848 - 338 pages
...have a* — ¿a=«7ccos.B — bccosA, and c*=accosB+bccosA; or 6s+cJ=aa+2iccosA; ie PROPOSITION III. The sum of the squares of any two sides of a triangle (388) is equal to the squares of the third side increased by the double product of those two sides... | |
 | George Roberts Perkins - Geometry - 1856 - 460 pages
...are given (BI, T. XXXV., S.). THEOREM XvH. In any triangle, the sum of the squares of any two sides is equal to twice the square of half the third side, increased by twice the square of the line drawn from the middle of this third side to the opposite angle. c If CD is drawn bisecting AB,... | |
 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...PROPOSITION XIV. THEOREM. In any triangle, the sum of the squares described on two sides is eqital to twice the square of half the third side, increased by twice the square of the line drawn from the middle point of that side to the vertex of the opposite, angle. Let ABC be any... | |
 | André Darré - 1872 - 226 pages
...the segments of the hypothenuse are related to each other as the squares of the contiguous sides. 19. The sum of the squares of any two sides of a triangle is equal to twice the square of the line drawn from the vertex of the angle which the sides contain to the middle point of the opposite... | |
 | Edward Olney - Geometry - 1872 - 96 pages
...drawn from any angle of a triangle to the middle of the opposite side is called a medial line. 6*73. The sum of the squares of any two sides of a triangle is equivalent to twice the square of the medial line drawn from their included angle, plus twice the square... | |
 | Edward Olney - Geometry - 1872 - 102 pages
...drawn from any angle of a triangle to the middle of the opposite side is called a medial line. 673. The sum of the squares of any two sides of a triangle is equivalent to twice the square of the medial line drawn from their included angle, plus twice the square... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...drawn from any angle of a triangle to the middle of the opposite side is called a medial line. 673. The sum of the squares of any two sides of a triangle is equivalent to twice the square of the medial line drawn from their included angle, plus twice the square... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...third side. PROPOSITION XIV. THEOREM. In any triangle, the sum of the squares described on two sides is equal to twice the square of half the third side increased by twice the square of the line drawn from the middle point of that s'ide to the vertex of the opposite angle. Let ABC be any... | |
 | William Guy Peck - Conic sections - 1876 - 412 pages
...difference of two lines is equal to the difference of their squares. 3°. The sum of the squares of two sides of a triangle is equal to twice the square of half the third side, increased ly twice the square of the line drawn from the middle of the third side to the opposite vertex. 4°.... | |
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