| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...rectangle BC, CD. Wherefore, in obtuse-angled triangles &c. QED PROPOSITION 13. 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 contained by either of these sides,... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...rectangle BC, CD. Wherefore, in obtuse-angled triangles &c. QED PROPOSITION 13. 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 contained by either of these sides,... | |
| Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...changes it into one which is right-angle 1. THEOREM XLI. In any triangle, the 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... | |
| James Maurice Wilson - Geometry - 1868 - 132 pages
...31. In an obtuse-angled triangle the square on the side subtending the obtuse angle is greater than the squares on the sides containing that angle by twice the rectangle contained by either of these sides and the projection on it of the other side ........ 65 Exercises... | |
| Euclides - 1871 - 136 pages
...• " In oblique-angled triangles, the square on the side subtending the obtuse angle is greater than the squares on the sides containing that angle, by twice the rectangle contained by one of these sides and the projection of the other on it." The enunciation of Prop. xin.... | |
| Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...exceeds the sum of the Ds on AC and CB by twice the rect. AC, C D. PROPOSITION XIII. In 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... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...THEOREM. In 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 contained by either of these sides and the straight line intercepted between the perpendicular, let... | |
| University of Madras - 1873 - 436 pages
...Prove that the rectangle AD, 1)C is equal to the rectangle EB, BF. PART II. VII. In every obtuse 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 contained by either of these sides,... | |
| Edward Atkins - 1874 - 426 pages
...CD. Therefore, in obtuse-angled triangles, &c. QED Proposition 13. — 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 contained by either of these sides,... | |
| Bombay city, univ - 1874 - 648 pages
...contained by these two sides is a right angle. 3. In every triangle the square on the side subtending 12 an acute angle is less than the sum of the squares on the Bides containing that angle, by twice the rectangle contained hy either of these sides and the straight... | |
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