 | Euclides - 1874 - 120 pages
...8 units, shew that BA wiU contain very nearly 12 units. 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,... | |
 | Euclides - 1874 - 342 pages
...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 angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the... | |
 | Edward Atkins - 1874 - 428 pages
...Proposition 13.— Theorem. In every triangle, the square on the side subtending an acute angle is less t/ian the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and llw straight line intercepted between the perpendicular let... | |
 | Edward Atkins - 1876 - 130 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,... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...the square on the line between the points of section, is equal to &e. (5, IL) 9. In every triangle, the square on the side subtending an acute angle is less than the squares on the sides containing that angle, by &o. (13. II). (It will be sufficient to take the case... | |
 | 1876 - 586 pages
...diagonal is equal to the shorter side % 1875of the original parallelogram. ' ' 3. 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,... | |
 | Education Department,London - 1876 - 1010 pages
...is made up of the half and the part produced. Male Candidates—First Year. 19 2. In every triangle, the square on the side subtending an acute angle is less than the squaies on the sides containing that angle by twice the rectangle contained by either of these sides... | |
 | Henry Major - 1876 - 784 pages
...radius. 3. 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 contained by either of these sides, and the straight line intercepted between the acute angle and the... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...equilateral figure upon its sides is the same, wherever the point be taken. (15). 28. In any 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 those sides... | |
 | Samuel H. Winter - 1877 - 452 pages
...triangle in which one angle is obtuse, the square on a side subtending 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 straight line intercepted between the perpendicular let... | |
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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... 
