 | Frederick Augustus Griffiths - 1839 - 348 pages
...three angles of any triangle taken together are equal to two right angles, or 180°. The difference of the squares of two sides of a triangle is equal to the product of their sum and difference. The sides of a triangle are proportional to the sines of their... | |
 | Frederick Augustus Griffiths - Artillery - 1859 - 426 pages
...three angles of any triangle, taken together, are equal to two right angles, or 180°. The difference of the squares of two sides of a triangle is equal to the product of their sum, and difference. The sides of a triangle are proportional to the sines of... | |
 | Woolwich roy. military acad - 1861 - 572 pages
...opposite angle and the acute angle. In any triangle shew that the sum of the squares of the two sides is equal to twice the square of half the base, together with twice the square of the line which joins the vertex to the middle point of the base. 9. Investigate the expression for the... | |
 | André Darré - 1872 - 226 pages
...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... | |
 | John Reynell Morell - 1875 - 220 pages
...coincides with the middle of the straight line which joins the two fixed points. 109. The difference of the squares of two sides of a triangle is equal to twice the product of the third side by the projection of the medial line of this last side on its direction.... | |
 | William Guy Peck - Conic sections - 1876 - 412 pages
...rectangle of the sum and the 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... | |
 | William Guy Peck - Conic sections - 1876 - 376 pages
...rectangle of the sum and the 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 the third side, increased by twice the square of the line drawn from the middle of the third side to... | |
 | James White - Conic sections - 1878 - 160 pages
...equal to the rectangle under the sum and difference of the segments. VII. The sum of the squares of the sides of a triangle is equal to twice the square of...half the base together with twice the square of the straight line joining the middle point of the base with the opposite angle. This follows at once from... | |
 | George Shoobridge Carr - Mathematics - 1880
...p2+q*+2d*+2h (p—q). [П. 12, 13, The following cases are important : — (i.) When p = q, 62+c2 = 2q*+2d2; ie, the sum of the squares of two sides of a triangle...bisecting line drawn from the vertex. (ii.) When p = 2q, Ь2+2с* = 6. (iii.) When the triangle is' isosceles, 923 If 0 be the centre of an equilateral triangle... | |
 | Charles Scott Venable - 1881 - 380 pages
...square of the opposite side ; and if it is obtuse, the sum will be less. PROPOSITION XIV. THEOREM. The sum of the squares of two sides of a triangle is equivalent to twice the square of the median to the third side together with twice the square of half... | |
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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. 
