 | JOHN GRAY - 1857 - 784 pages
...sides of a triangle are together greater than the third side. the squares of the sides containing it by twice the rectangle contained by the side upon...which, when produced, the perpendicular falls, and the straight line intercepted with the triangle between the perpendicular and the obtuse angle. 3. A straight... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 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 square...which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 9. In... | |
 | 1858 - 398 pages
...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 square...which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 9. In... | |
 | 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,...which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. In every... | |
 | Euclides - 1858 - 136 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,... | |
 | Civil service - 366 pages
...produced. PEOP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square...which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. In any... | |
 | John Paxton Hall - 1860 - 186 pages
...produced. PROP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square...which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. In any... | |
 | 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 square...which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 9. In... | |
 | John Playfair - Geometry - 1860 - 334 pages
...square of AH. PROP. XII. THEOR. In obtuse angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square...squares of the sides containing the obtuse angle, by twee the rectangle contained by the side upon which, when produced, the perpendicular falls, and the... | |
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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... 
