 | Horatio Nelson Robinson - Geometry - 1868 - 276 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,... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...by twice the rectangle BC, CD. XIII. — In every triangle, the square of the side subtending either of the acute angles, is less than the squares of the...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,... | |
 | University of Madras - 1873 - 436 pages
...angled triangle, prove that 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. (a.) ABC is a triangle having the angle at C obtuse... | |
 | Euclides - 1874 - 120 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. j Q Let ABC be any triangle, and the angle at B... | |
 | Euclides - 1874 - 342 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,... | |
 | 1876 - 586 pages
...3. 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. — To be proved for acute-angled triangles only.... | |
 | Edward Atkins - 1876 - 130 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. Let ABC be any triangle, and the angle at B an acuteangle... | |
 | Henry Major - 1876 - 784 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. -, «• r, 1. Simplify... | |
 | Education Department,London - 1876 - 1010 pages
...triangle, the square on the aide 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. 2. In any circle only two... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...either of the acute angles, is less than the squares on the sides containing that angle, by tvtiet the rectangle contained by either of these sides, and the straight line intere cepted between the acute angle and the perpendicular let fall upon it from the opposite angle,... | |
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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... 
