 | Education Department,London - 1876 - 1010 sider
...of the half and part produced. Describe a rectangle 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... | |
 | Āryabhaṭa - 1878 - 100 sider
...of 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 sider
...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...the side subtending the obtuse angle is greater than thi squares on the sides containing the obtuse angle by twice the rectangle contained by the side upon... | |
 | Isaac Sharpless - 1879 - 282 sider
...the other sides. Let BAC be an acute angle, then Make AD = AC, and at right angles to AB (I. 22). 22. The square on the side subtending the obtuse angle, is greater than the squares on the other sides. 23. Any side of a triangle is greater than the difference between the other two. 24. Two... | |
 | Edward Harri Mathews - 1879 - 94 sider
...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... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 sider
...squares of the diagonals of a parallelogram are together equal to the squares of the four sides. 4. In obtuse-angled triangles, if a perpendicular be...acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse... | |
 | Isaac Todhunter - 1880 - 426 sider
...divided at H, so that the rectangle AB, BH is equal to the square on AH. QEF PROPOSITION 12. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the oppotite tide produced, the square on the tide subtending the obtuse angle is greater than the squares... | |
 | Sandhurst roy. military coll - 1880 - 68 sider
...log 15650 = 4-1945143, log 15651 = 4-1945421. c 2 MATHEMATICS. (2.) 1. In any obtuse-angled triangle, the square on the side subtending the obtuse angle is greater than the sum of the squares on the other two sides, by twice the rectangle contained by one of the sides, and... | |
 | Marianne Nops - 1882 - 278 sider
...AB. Wherefore the straight line, &c. — QEF PROPOSITION XII., THEOREM. In obtuse-angled triangles the square on the side subtending the obtuse angle...is greater than the squares on the sides containing it, by twice the rectangle contained by one of those sides and the projection of the other upon it,... | |
 | 1882 - 486 sider
...in an obtuse-angled triangle, the square on the side subtending the obtuse angle exceeds the sum of the squares on the sides containing the obtuse angle by twice the rectangle contained by either of them, and its continuation to meet a perpendicular on it from the opposite angle. 7. If one... | |
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... the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse... 
