| John Playfair - Geometry - 1855 - 350 pages
...• f» every triangle the square of the sid* subtending any of the acute angles, is less than the **squares of the sides containing that angle, by twice...perpendicular, let fall upon it from the opposite** angle,andthe acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 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 5 an... | |
| 1868 - 876 pages
...25 4. In 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...upon it from the opposite angle) and the acute angle** 25 •J. From two given points on the same side of a given line, draw two lines which shall meet in... | |
| Robert Potts - 1868 - 434 pages
...either of the acute angles, is less than the squares on the sides containing that angle, by twicp, **the rectangle contained by either of these sides, and the straight line intercepted** behceen the acute angle and the perpendicular let fall upon it from the opputite angle. Let ABC be... | |
| James Maurice Wilson - Geometry - 1868 - 132 pages
...THEOREM 30. In any triangle the square on a side opposite an acute angle is less than the squares on **the sides containing that 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... | |
| 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,... | |
| Euclides - 1871 - 136 pages
...every triangle, the square on the side subtending any of the acute angle* is lea than the square! on **the sides containing that angle, by twice the rectangle...upon it from the opposite angle, and the acute angle.** Fig. 1. Fig. 2. Let ABC be any A , having the L ABC acute. From A draw AD J. to BC or BC produced.... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...every triangle, the square on the side subtending any of the acute angles is less than the squares on **the sides containing that angle, by twice the rectangle...upon it from the opposite angle, and the acute angle.** Fig. 1. Fig. 2. Let ABC be any A , having the / ABC acute. From A draw AD JL to BC or BC produced.... | |
| Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...any triangle the square on the side subtending an acute angle is less than the sum ot the squares on **the sides containing that angle by twice the rectangle contained by either of** them and the distance between a lina drawn perpendicular to this side (or its production) from the... | |
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