 | Woolwich roy. military acad - 1864 - 588 pages
...balls. In how many ways can they be placed in a row with white and black balls standing alternately 1 9. In every triangle the square on the side subtending...rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle and the... | |
 | Euclides - 1864 - 262 pages
...PROPOSITION XIII. THEOREM. In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that...rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite... | |
 | Euclides - 1864 - 448 pages
...PROPOSITION XIII. THEOREM. In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that...rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite... | |
 | Robert Potts - 1865 - 528 pages
...PROPOSITION Xm. THEOREM. In every triangle, the square on the side subtending eitJter of the acate angles, is less than the squares on the sides containing that...rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular let Jail upon it from the opposite... | |
 | Euclides - 1865 - 402 pages
.... . . . . n. 12. 2. 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 under either of these sides, and the straight line intercepted between the acute angle and the perpendicular... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...twice the rectangle BC, CD. Wherefore, in obtuse-angled triangles &c. QED PROPOSITION 13. THEOREM. In every triangle, the square on the side subtending...rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle, and the... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...twice the rectangle BC, CD. Wherefore, in obtuse-angled triangles &c. QED PROPOSITION 13. THEOREM. In every triangle, the square on the side subtending...rectangle contained by either of these sides, and the straight line intercepted 'between the perpendicular let fall on it from the opposite angle, and the... | |
 | James Maurice Wilson - Geometry - 1868 - 132 pages
...projection of AB on the terminated line GF. THEOREM 30. In any triangle the square on a side opposite an acute angle is less than the squares on the sides...angle by twice the rectangle contained by either of those sides and the projection on it of the other side. Let AB C be a triangle, B an acute angle, BD... | |
 | 1868 - 876 pages
...every triangle, the square of the side subtending any 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 (let fall upon it from the opposite angle) and... | |
 | 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,... | |
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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 contained by either of these sides, and the straight line intercepted between the perpendicular let... 
