In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it. Plane and Solid Geometry - Page 149by Arthur Schultze - 1901Full view - About this book
| George Roberts Perkins - Geometry - 1856 - 460 pages
...any obtuse-angled triangle, the square of the side opposite the obtuse angle is equal to the sum of **the squares of the other two sides, increased by twice the product of** either of the sides containing the obtuse angle into the projection of the other side on the prolongation... | |
| George Roberts Perkins - Geometry - 1860 - 472 pages
...any obtuse-angled triangle, the square of the side opposite the obtuse angle is equal to the sum of **the squares of the other two sides, increased by twice the product of** either of the sides containing the obtuse angle into the projection of the other side on the prolongation... | |
| William Chauvenet - Geometry - 1871 - 380 pages
...obtuse angled triangle, the square of the side opposite to the obtuse angle is equal to the sum of **the squares of the other two sides, increased by twice...one of these sides and the projection of the other** upon that side. Let C be the obtuse angle of the triangle ABC, P the projection of A upon BC (produced)... | |
| William Chauvenet - Geometry - 1871 - 380 pages
...side opposite to an acute angle is equal to the sum of the squares of the other two sides diminished **by twice the product of one of these sides and the projection of the other** upon that side. Let (7 be an acute angle of the triangle ABC, A Pthe projection of A upon BC by the... | |
| Henry William Watson - Geometry - 1871 - 320 pages
...the sum of the squares of the two remaining sides is equal to twice the rectangle contained by either **one of these sides and the projection of the other side upon** that side. Fig- 35. F'g- 36. Let ABC be any triangle, then the square of any side, as AC, shall be... | |
| William Chauvenet - Mathematics - 1872 - 382 pages
...obtuse angled triangle, the square of the side opposite to the obtuse angle is equal to the sum of **the squares of the other two sides, increased by twice...one of these sides and the projection of the other** upon that side. Let C be the obtuse angle of the triangle ABC, P the projection of A upon BC (produced)... | |
| William Chauvenet - Geometry - 1872 - 382 pages
...side opposite to an acute angle is equal to the sum of the squares of the other two sides diminished **by twice the product of one of these sides and the projection of the other** •upon thnt side. Let C be an acute angle of the triangle ABC, ' BOOK III. AB*=BC' + AC' — 2-6(7... | |
| Harvard University - 1874 - 668 pages
...side opposite to an acute angle is equal to the Bum of the squares of the other two sides diminished **by twice the product of one of these sides and the projection of the other** upon that side. 7. The area of a trapezoid is equal to the product of its altitude by half the sum... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...In any obtuse triangle, the square on the side 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 C be the obtuse angle of the triangle... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...any obtuse Л the square on the side opposite the obtuse Z is equivalent to the mm 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 thai side) ; and 17?=^ + A~М*-2MСХ MD, §335 (in... | |
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