 | 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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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... 
