| George Albert Wentworth - Geometry - 1877 - 416 pages
...opposite an acute angle is equivalent to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side. A Lot C be an acute angle of the triangle ABC, and DC the projection of AC upon B C. We are to prove... | |
| George Albert Wentworth - Geometry - 1877 - 426 pages
...opposite an acute angle is equivalent to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon thai side. Let С be ал acate angle of the triangle ABС, and D С the projection of AС upon B С.... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...opposite the obtuse angle is equivalent to the sum of the squares of the other two sides increased by twice the product of one of those sides and the projection of the other on that side. A Let С be the obtuse angle of the triangle ABC, and С D be the projection of A С... | |
| William Frothingham Bradbury - Geometry - 1877 - 262 pages
...XXIX. 70. In a triangle the square of the side opposite the obtuse angle is equivalent to the sum of the squares of the other two sides plus twice the product of one of these sides and the distance from the vertex of the obtuse angle to the foot of the perpendicular let... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...aide opposite the obtuse Z is cquivalent to the sum of the squares on the other two sides increased by twice the product of one of those sides and the projection of thе other on that side) ; and A~C* = STC* + AM* — 2MCX MD, §335 (in any Д the square on the side... | |
| William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...[acute'] angle is equal to the sum of the squares of the other two sides [,£jj twice the rectangle of one of those sides, and the projection of the other upon it. HYPOTH. In the triangles ABC, the angle ACB is obtuse in Fig, 1, and acute in Figs. 2 and 3 (produced)... | |
| William Frothingham Bradbury - Geometry - 1880 - 260 pages
...obtuse-angled trianr/le the square of the side opposite the obtuse anyle is equivalent to the sum of the squares of the other two sides plus twice the product of one of these sides and the distance from the vertex of the obtuse angle to the foot of the perpendicular let... | |
| George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...side opposite the obtuse Z is equivalent to the sum of the squares on the other two sides increased by twice the product of one of those sides and the projection of the other on that side) ; and ГC* ^ ЖТ? + AM* -2MCX MD, § 335 any A the square on the side opposite an acute... | |
| Franklin Ibach - Geometry - 1882 - 208 pages
...260. In any obtuse-angled triangle, the square on the side opposite the obtuse angle equals the sum of the squares of the other two sides plus twice the...sides and the projection of the other upon that side. In the A ABC, let c be the obtuse Z., and PC the projection of AC upon BC produced. To prove that A... | |
| Franklin Ibach - Geometry - 1882 - 208 pages
...square on the side opposite an acute anale equals the sum of the squares of the other two sides minus twice the product of one of those sides and the projection of the other upon that side. In the A ABC, let с be an acute Z., and PC the projection of AC upon BC. A To prove that AB* = BC*... | |
| |