 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 subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the...  The Element of Geometry - Page 29by John Playfair - 1836 - 114 pagesFull view - About this book
 | 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...perpendicular falls, and the straight line intercepted with the triangle between the perpendicular and the obtuse angle. 3. A straight line is drawn from... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...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...triangle between the perpendicular and the obtuse angle. 9. In any isosceles triangle ABC, if AD be drawn from the vertex to any point in the base, show that... | |
 | 1858 - 398 pages
...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...triangle between the perpendicular and the obtuse angle. 9. In any isosceles triangle ABC, if AD be drawn from the vertex to any point in the base, show that... | |
 | 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,...triangle between the perpendicular and the obtuse angle. In every triangle the square of the side subtending an acute angle is less than the squares of the... | |
 | Euclides - 1858 - 248 pages
...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...which when produced the perpendicular falls, and the st. line intercepted without the triangle between the perpendicular and the obtuse angle. CONS. —... | |
 | 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
...triangles, if a perpendicular be drawn from either of the acute nngles to the opposite side produced, the square of the side subtending the obtuse angle is...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,... | |
 | Joseph Charles Parkinson - 1860 - 154 pages
...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...triangle between the perpendicular and the obtuse angle. 9. In any isosceles triangle ABC, if AD be drawn from the vertex to any point in the base, show that... | |
 | Civil service - 366 pages
...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...triangle between the perpendicular and the obtuse angle. In any isosceles triangle ABC. if AD be drawn from the vertex to any point in the base, show that the... | |
 | John Paxton Hall - 1860 - 186 pages
...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...triangle between the perpendicular and the obtuse angle. In any isosceles triangle ABC, if AD be drawn from the vertex to any point in the base, show that the... | |
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