 | Euclides - 1860 - 288 pages
...on the side subtending any of the acute angles is less than the squares on the sides containing that angle, by twice the rectangle contained by either...straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Given any triangle ABC, and the angle... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...the side subtending either of the acute ungles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either...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,... | |
 | John Playfair - Geometry - 1860 - 334 pages
...subtending any of the acute angles, is less than the squares of the sides containing that angle, by turice the rectangle contained by either of these sides,...straight line intercepted between the perpendicular, let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle... | |
 | 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,... | |
 | Woolwich roy. military acad - 1861 - 572 pages
...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...straight line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle. In any triangle shew that the sum of... | |
 | Euclides - 1862 - 140 pages
...square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle contained by either...straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. (References— Prop. I. 12, 16, 47; II.... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...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...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... | |
 | Euclides - 1864 - 262 pages
...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...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 - 448 pages
...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...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
...side subtending eitJter of the acate angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either...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 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 these sides, and the straight line intercepted between the perpendicular... 
