 | 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... | |
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In obtuse-angled triangles, 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 angle, by twice the... 
