 | 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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In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the 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... 
