 | Euclid - 1904 - 488 páginas
...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 páginas
...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 - 1907 - 128 páginas
...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 - 1908 - 550 páginas
...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 - 1911 - 226 páginas
...the segments, 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...triangle, between the perpendicular and the obtuse angle. II — 12. 9 6. In any triangle the sum of the squares on the sides is equal to twice the square on... | |
 | University of South Africa - 1913 - 768 páginas
...it from the 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 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... | |
 | John Adams - 1918 - 448 páginas
...thoroughly convinced, and able to convince the world, that in obtuse-angled triangles if a perpendicular be drawn from either of the acute angles to the opposite...angle by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted, without the... | |
 | 1972 - 646 páginas
...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... | |
 | 1904 - 852 páginas
...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... | |
 | Chris Pritchard - 2003 - 572 páginas
...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... 
