| Charles Reiner - Geometry - 1837 - 254 pages
...the side subtending any of the acute angles is less than the squares of the sides containing the same **angle, by twice the rectangle contained by either...straight line intercepted between the perpendicular,** drawn to it from the opposite angle, and the acute angle. SUBSTANCE OF SECTION VII. 1. Squares are... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...is greater than the squares of BC, CA, by twice the rectangle BC • CD. PROPOSITION XIII. THEOREM. **of these sides, and the straight line intercepted between the perpendicular let fall** upon it from the opposite angle, and the acute angle. Let ABC he any triangle, and the angle at B one... | |
| Euclides - 1838 - 264 pages
...subtending either of the acute angles, is less than the squares of the sides containing that angle, ly **twice the rectangle contained by either of these sides,...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 at B one... | |
| Euclides - 1840 - 82 pages
...any triangle, the square of a side subtending an acute angle is less than the sum of the squares of **the sides containing that angle, by twice the rectangle contained by either of** those sides and the part of it intercepted between the perpendicular let fall on it from the opposite... | |
| Euclides - 1841 - 378 pages
...THEOR. In every triangle, the square of the side subtending an acute angle, is less than the squares of **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,... | |
| John Playfair - Euclid's Elements - 1842 - 332 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...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 at B one... | |
| Euclides - 1842 - 320 pages
...сл, by twice the rectangle вc, CD. Therefore, in obtuseangled triangles, &c. QED PROP. XIII. THEOR. **the sides containing that angle, by twice the rectangle...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 at в... | |
| John Playfair - Euclid's Elements - 1844 - 338 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...sides, and the straight line intercepted between the** perpendicular,let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle,... | |
| James Bates Thomson - Geometry - 1844 - 237 pages
...subtending either of the acute angles, is less than the sum of the squares of the other two sides, **by twice the rectangle contained by either of these...line intercepted between the perpendicular let fall** upon it from the opposite angle, and the acute angle. PROPOSITION XIII. THEOREM. In a triangle ABC,... | |
| Euclid - Geometry - 1845 - 218 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...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 at B one... | |
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