| 1903 - 898 pages
...within 1 per cent. Or, 2A. Show that 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** opposite the obtuse angle is greater than the sum of the squares on the sides forming the obtuse angle... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...triangle, if a perpendicular is drawn from either of the acute angles to the opposite side pivduced, **the square on the side subtending the obtuse angle is greater than the** sum of the squares on the sides containing the obtuse angle, by ticice the rectangle contained by the... | |
| University of Sydney - 1906 - 738 pages
...together greater than double the median that bisects the third side. ~>. In an obtuse angled triangle, **the square on the side subtending the obtuse angle is greater than the** sum of the squares on the sides containing the obtuse angle by twice the rectangle contained by either... | |
| Lawrence Robert Dicksee - Accounting - 1907 - 132 pages
...the algebraic identity (a + 6)2 = a"+ 2a& + b*. Q. 7. — Prove that in any obtuse-angled triangle **the square on the side subtending the obtuse angle is greater than the** sum of the squares on the sides containing the obtuse angle by twice the rectangle contained by one... | |
| Euclid - Mathematics, Greek - 1908 - 550 pages
...cutting a given straight line in extreme and mean ratio. PROPOSITION 12. In obtuse-angled triangles **the square on the side subtending the obtuse angle...the obtuse angle by twice the rectangle contained by** one of the sides about the obtuse angle, namely that on which the 26 — 2 perpendicular falls, and... | |
| Alberta. Department of Education - Education - 1911 - 226 pages
...the straight line is bisected. 9 5. In an obtuse angled triangle, if a perpendicular be drawn from **either of the acute angles to the opposite side produced,...angle by twice the rectangle contained by the side** on which, when produced, the perpendicular falls, and the straight line intercepted, without the triangle,... | |
| University of South Africa - Universities and colleges - 1913 - 768 pages
...opposite angle, and the acute angle. In an obtuse-angled triangle, if a perpendicular is drawn from **either of the acute angles to the opposite side produced,...side subtending the obtuse angle is greater than the** sum of the squares on the sides containing the obtuse angle, by twice the rectangle contained by the... | |
| Education - 1972 - 646 pages
...equal to the sum of the squares on the other two sides (Euclid 1.47). 2. In an obtuse-angled triangle, **the square on the side subtending the obtuse angle is greater than the** sum of the squares on the sides containing it (cf. 11.12). 3. In any triangle, the square on the side... | |
| Law - 1904 - 852 pages
...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. From... | |
| Mathematical Association of America - Mathematics - 2003 - 572 pages
...way, of course. Proposition 1 2 deals with the obtuse-angled triangle: In obtuse-angled triangles, **the square on the side subtending the obtuse angle...the obtuse angle by twice the rectangle contained by** one of the sides about the obtuse angle, namely that on which the perpendicular falls, and the straight... | |
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