 | D. Tierney - 1877 - 126 pages
...line. 5. 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 Harri Mathews - 1879 - 94 pages
...the square on BC, and that the square on EC is equal to the squares on EA, AB. 2. 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 - 1879 - 146 pages
...the square on BC together with the rectangle AB, BC. PROPOSITION XIII. 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,... | |
 | Moffatt and Paige - 1879 - 378 pages
...ABCD; hence the area of the triangle is * a ti. The Proposition is Euclid II. 5. 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,... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...acute-angled triangle exceed the square on the third side ? Prove the truth of your answer. 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 those sides,... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...straight lines, but any two whatever of these must be greater than the third. 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 twice the rectangle contained by either of these sides,... | |
 | Joseph Wollman - 1879 - 120 pages
...IV. 1. 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... | |
 | Moffatt and Paige - 1879 - 506 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... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...rectangle BC, CD. Wherefore, in obtuse-angled triangles &c. QED PROPOSITION is. THEOREM. tn 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, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...than the squares on BC and CA by twice the rectangle AC, CD. PROP. XIII. 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... | |
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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... 
