 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 New Teaching - Page 191edited by - 1918 - 428 pagesFull view - About this book
 | War office - 1861 - 260 pages
...opposite sides and angles of parallelograms are equal to one another, and the diameter bisects them. 2. In obtuse-angled triangles, if a perpendicular be...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
...the simple interest of 3£ per cent, yearly? 10. Extract the square root of -0006780816. EUCLID. 2. In obtuse-angled triangles if a perpendicular be drawn...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
...Progression, then b + c, c+a, a + b are in Harmonical Progression. cular be drawn from an acute angle to the opposite side produced, the square on the side...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 - 140 pages
...in H, so that the rectangle AB . BH, is equal to the square on AH. QEF PROPOSITION 12.— THEOKEM. In obtuse-angled triangles, if a perpendicular be...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
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 11. In obtuse-angled triangles, if a perpendicular be...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 - 1865 - 402 pages
...side prodnced; then the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when prodnced, the perpendicular falls, and the straight line intercepted without the triangle between the... | |
 | John Playfair - Geometry - 1855 - 350 pages
...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...which, when produced, the perpendicular falls, and the-straight line intercepted between the perpendicular and the obtuse angle. Let ABC be an obtuse... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...to the square on AH. QEF PROPOSITION 12. THEOREM. In obtuse-angled triangles, if a perpendicular lie drawn from either of the acute angles to the opposite...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
 | Robert Potts - 1868 - 434 pages
...obtuse-angled triangles, if a perpendicular be drawn from either of the mute angles to the opposite tide produced, the square on the side subtending the obtuse...which, when produced, the perpendicular falls, and t/ie straight line intercepted without the triangle between the perpendicular and the obtuse angle.... | |
| |
