 | Sandhurst roy. military coll - 1859 - 672 pagine
...opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of 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... | |
 | Euclides - 1860 - 288 pagine
...XII. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square on the side...angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
 | Robert Potts - 1860 - 380 pagine
...XII. THEOREM. In obtuse-angled triangles, if a perpendicular be drawtt from either of the acute angles to the opposite side produced, the square on the side...angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
 | Joseph Charles Parkinson - 1860 - 154 pagine
...opposite side, produced, the square of the side subtending the obtuse angle is greater than the squares of 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... | |
 | John Paxton Hall - 1860 - 186 pagine
...opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of 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... | |
 | Civil service - 366 pagine
...opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of 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... | |
 | War office - 1861 - 260 pagine
...bisects them. 2. 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...triangle between the perpendicular and the obtuse angle. 3. When is a straight line said to touch a circle ? To draw a straight line from a given point, either... | |
 | War office - 1861 - 714 pagine
...opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of 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... | |
 | Euclides - 1862 - 140 pagine
...12.— THEOKEM. 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...triangle, between the perpendicular and the obtuse angle. (References — Prop. I. 47; II. 4.) Hypothesis. — Let ABC be an obtuse-angled triangle, having the... | |
 | Euclides - 1862 - 172 pagine
...side produced; then the square of the side subtending the obtuse angle is greater than the squares of 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... | |
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... subtending the obtuse angle, is greater than the squares on 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... 
