 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...triangle, the square on the side subtending either of the acute ungles, is less than the squares on the sides containing that angle, by twice the rectangle...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let AB C be any triangle,... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...square on a side opposite an acute angle is less than the sum of the squares on the other two sides, by twice the rectangle contained by either of these sides, and the distance from the vertex of the acute angle to the foot of the perpendicular let fall on this side,... | |
 | War office - 1861 - 260 pages
...base of the other. 2. In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that...angle by twice the rectangle contained by either of those sides and the straight line intercepted between the acute angle and the perpendicular let fall... | |
 | Euclides - 1862 - 140 pages
...THEOREM. In every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. (References— Prop. I. 12, 16, 47; II. 3, 7, 12.)... | |
 | Euclides - 1862 - 172 pages
...PROP. XIII THEOREM. In every triangle, the square of the side subtending eitlier of the acute angles, is less than the squares of the sides containing that angle, by tenet the rectangle contained by either of those sides, and the straight line intercepted between the... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...triangle, the square on the side subtending either of the acute angles is less than the squares on the sides containing that angle, by twice the rectangle...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. 3. Describe an equilateral... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...1 9. In every triangle the square on the side subtending an acute angle is less than the squares on the sides containing that angle by twice the rectangle...line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. Demonstrate the proposition in the case where the... | |
 | Euclides - 1864 - 448 pages
...triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle, Let ABC be any triangle,... | |
 | Euclides - 1864 - 262 pages
...triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle,... | |
 | Robert Potts - 1865 - 528 pages
...triangle, the square on the side subtending eitJter of the acate angles, is less than the squares on the sides containing that angle, by twice the rectangle...sides, and the straight line intercepted between the acute angle and the perpendicular let Jail upon it from the opposite angle. Let ABC be any triangle,... | |
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In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute... 
