| 1858 - 398 pages
...part produced. 8. PUOP. XII. In obtuse-angled triangles, if a perpendicular be drawn from either of **the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle. 9. In any isosceles triangle ABC,... | |
| Euclides - 1858 - 248 pages
...— THEOR. — (Important.} In obtuse angled triangles, if a perpendicular be drawn from either of **the acute angles to the opposite side produced, the...which when produced the perpendicular falls, and the** st. line intercepted without the triangle between the perpendicular and the obtuse angle. CONS. —... | |
| W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...the side subtending the obtuse angle is greater than GEOMETRICAL MEMORANDA. — PERPEls-DICULARS. 45 **the squares of the sides containing the obtuse angle,...perpendicular falls, and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle. In every triangle the square of... | |
| Euclides - 1858 - 134 pages
...perpendicular It drawn from cither of tlte acute ¿s to the opposite sidt produced, the square of the fide **subtending the obtuse angle is greater than the squares of the sides containing the** rib'use angle by tiriee the rect. contained by the side upon which when produced the perp. falh, and... | |
| Sandhurst roy. military coll - 1859 - 672 pages
...proposition fail ? 3. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute nngles **to the opposite side produced, the square of the side...than the squares of the sides containing the obtuse** angles by twice the rectangle contained by the side upon which, when produced, the perpendicular falls,... | |
| John Paxton Hall - 1860 - 186 pages
...part produced. PROP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of **the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle. In any isosceles triangle ABC,... | |
| Civil service - 366 pages
...part produced. PEOP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of **the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle. In any isosceles triangle ABC.... | |
| Joseph Charles Parkinson - 1860 - 154 pages
...produced. 8. PROP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of **the acute angles to the opposite side, produced, the...perpendicular falls, and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle. 9. In any isosceles triangle ABC,... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...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...perpendicular falls, and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle. Let-4-BCbe an obtuse-angled triangle,... | |
| Euclides - 1860 - 288 pages
...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...perpendicular falls, and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle. . , Given an obtuse-angled triangle... | |
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