 | 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, Robert Simson - Euclid's Elements - 1837 - 290 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 - Geometry - 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 - 316 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 - 268 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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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... 
