 In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the...  Elementary Course of Geometry ... - Pągina 33per Charles William Hackley - 1847 - 103 pąginesVisualització completa - Sobre aquest llibre
 | Charles Hutton - 1825 - 608 pągines
...= AB .AD — BD in the 2d figure. DB id the 1st figUFC. And AC + BC AD AC - BC = AB THEOREM XXXVI. IN any Obtuse-angled Triangle, the Square of the Side...obtuse Angle, is Greater than the Sum of the Squares »f the other two Sides, by Twice the Rectangle of the i •!-.<• and the Distance of the Perpendicular... | |
 | Peter Nicholson - 1825 - 1046 pągines
...triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon... | |
 | George Lees - 1826 - 276 pągines
...,1 ' ' Book III. PROP. V. THEOREM. The square of one of the sides of a triangle is greater or less than the sum of the squares of the other two sides, by twice the rectangle contained by the base and its segment, intercepted between the perpendicular and the angle opposite... | |
 | Euclides - 1826 - 226 pągines
...equal to the square of AH. Which was to be done. PROPOSITION XII. THEOREM. In obtuse angled triangles, the square of the side subtending the obtuse angle is greater than the squares, which are made by the sides containing the obtuse angle by twice the rectangle contained under... | |
 | Robert Simson - 1827 - 546 pągines
...triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon... | |
 | Adrien Marie Legendre - 1828 - 346 pągines
...AC2— 2BC X CD. THEOREM. 192. In any triangle, having an obtuse angle, the square of the side opposite the obtuse angle, is greater than the sum of the squares of the sides containing it, by twice the rectangle contained by either of the latter sides, and the distance... | |
 | John Playfair - 1829 - 210 pągines
...triangle if a perpendicular be drawn from either of the two acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the sum of the squares of the two sides containing it by twice the rectangle contained by the base and its external part intercepted... | |
 | Euclid - 1835 - 540 pągines
...triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon... | |
 | Adrien Marie Legendre - 1836 - 394 pągines
...x CD. PROPOSITION XIII. THEOREM. .In every obtuse angled triangle, the square of the side opposite the obtuse angle is greater than the sum of the squares of the other two sides by twice the rectangle contained by the base and the distance from the obtuse angle to the foot of the perpendicular let fall... | |
 | 1836 - 488 pągines
...triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon... | |
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