 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
 | 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...triangle between the perpendicular and the obtuse angle. Let-4-BCbe an obtuse-angled triangle, having the obtuse angle A CB, and from the point A, let AD be... | |
 | 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...triangle between the perpendicular and the obtuse angle. . , Given an obtuse-angled triangle ABC, having the obtuse angle ACB, and from the point A let AD be... | |
 | John Playfair - Geometry - 1860 - 334 pages
...triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is...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... | |
 | War office - 1861 - 260 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 rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
 | War office - 1861 - 714 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 rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
 | Woolwich roy. military acad - 1861 - 572 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 rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
 | Euclides - 1862 - 172 pages
...if a perpendicular be drawn from either of the acute angles to the opposite side produced; then the square of the side subtending the obtuse angle is...triangle between the perpendicular and the obtuse angle. (References — Prop. i. 47 ; n. 4.) Let ABC be an obtuse-angle triangle, having the obtuse angle ACB;... | |
 | Euclides - 1862 - 140 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 rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
 | University of Oxford - Education, Higher - 1863 - 316 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 rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
 | Architecture - 1865 - 276 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. 7. Prop. 14. — Theorem. To describe a square equal to a given rectilineal figure. SECOND DAY.—... | |
| |
