| Āryabhaṭa - 1878 - 100 pages
...CD and the rectangle BD.DC. Wherefore if a straight lino &c. QED PROP. xxix. THEOREM. (E. 2. 12). In **obtuseangled triangles, if a perpendicular be drawn from either of the acute angles to** ihe opposite side produced, the square of the side subtending the obtuse angle, is greater than the... | |
| Moffatt and Paige - 1879 - 506 pages
...divided in H so that the rectangle AB, BH is equal to the square on A H. QEF Proposition XII. Theorem. In **obtuse-angled triangles, if a perpendicular be drawn...acute angles to the opposite side produced, the square** on the side subtending the obtuse angle is greater than thi squares on the sides containing the obtuse... | |
| Joseph Wollman - 1879 - 120 pages
...contained by the parts, except when the line is bisected, and then they are equal. SECTION IV. i. In **obtuse-angled triangles, if a perpendicular be drawn...acute angles to the opposite side produced, the square** on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse... | |
| Euclides - 1879 - 146 pages
...parts. 3. If CH produced meets BF at L, the angle CLB is a right angle. PROPOSITION XII. THEOREM. In **obtuse.angled triangles, if a perpendicular be drawn...acute angles to the opposite side produced, the square** on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse... | |
| University of Oxford - Greek language - 1879 - 412 pages
...squares described on the other two sides, the angle contained by these two sides is a right angle. 9. In **obtuse-angled triang-les, if a perpendicular be drawn...acute angles to the opposite side produced, the square** on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse... | |
| W J. Dickinson - Geometry - 1879 - 44 pages
...and one part are equal to three times the square on the other part. 12. In an obtuse-angled triangle, **if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square** on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse... | |
| James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...the other part. PROPOSITION XII. THEOREM. In obtuse-angled triangles, if a perpendicular be dravw, **from either of the acute angles to the opposite side produced, the square** on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse... | |
| Edward Harri Mathews - 1879 - 94 pages
...produced. ^ Describe a rectergle equal to the difference of two given squares. 2. In obtuse angled **triangles, if a perpendicular be drawn from either of the acute angles** on the opposite side produced, the square on the side subtending the obtuse angle is greater than the... | |
| Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...; and the straight line AB is divided into two parts in H, us required. QEF PROP. XII. THEOREM. In **obtuse-angled triangles, if a perpendicular be drawn...acute angles to the opposite side produced, the square** on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse... | |
| Education Ministry of - 1880 - 248 pages
...lines drawn from the angular points to bisect the opposite sides meet in a point. SECTION IV. 1. In **obtuse-angled triangles, if a perpendicular be drawn...acute angles to the opposite side produced, the square** on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse... | |
| |