| 1903
...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 side...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
...points 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 - 456 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
...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 - 110 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
...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... | |
| Law - 1904
...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, Mathematical Association of America - Mathematics - 2003 - 541 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... | |
| Mathematical Association, Mathematical Association of America - Mathematics - 2003 - 541 pages
...geometrical way, of course. Proposition 12 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** 207 by one of the sides about the obtuse angle, namely that on which the perpendicular falls, and the... | |
| Euclid - Mathematics - 2003 - 271 pages
...a given ratio to the triangle. 165 Dt 64 If a triangle have a given obtuse angle, the area by which **the square on the side subtending the obtuse angle is greater than [the** sum oil the squares on the sides containing the given angle, [that area] will have a given ratio to... | |
| |