 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...in medial section at A. PROPOSITION 12. THEOREM. 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... | |
 | Education - 1900 - 898 pages
...AC, and CN ie drawn perpendicular to AB, show that BC1 = 2AB . BN. 7. G. In an 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 either of these sides,... | |
 | 1901 - 488 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. 4. Prove... | |
 | 1903 - 188 pages
...SINCLAIR SCHOLARSHIP EXAMINATION. I. (a) Shew that in an obtuse-angled triangle, if a perpendicular is drawn from either of the acute angles to the opposite...on the sides containing the obtuse angle, by twice a certain rectangle. (ft) Shew that, if from any point outside a circle, a tangent and a secant be... | |
 | 1903 - 896 pages
...quadrilateral formed by joining these points within 1 per cent. Or, 2A. Show that in an obtuse-angled triangle if a perpendicular be drawn from either of the acute...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 - 128 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... | |
 | University of South Africa - Universities and colleges - 1913 - 768 pages
...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... | |
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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... 
