| War office - 1861 - 260 pages
...another, and the diameter bisects them. 2. In obtuse-angled triangles, if a perpendicular be drawn from **either of the acute angles to the opposite side produced,...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,... | |
| War office - 1861 - 714 pages
...equal to a given rectilineal angle. 3. 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... | |
| Euclides - 1862 - 140 pages
...on AH. QEF PROPOSITION 12.— THEOKEM. In obtuse-angled triangles, if a perpendicular be drawn from **either of the acute angles to the opposite side produced,...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 - 328 pages
...of the half and the part produced. 10. 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... | |
| Euclides - 1864 - 448 pages
...triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produved, **the square on the side subtending the obtuse angle,...squares on the sides containing the obtuse angle, by** twive the rectangle contained by the side upon which, when produved, the perpendicular falls, and the... | |
| Euclides - 1864 - 262 pages
...square on A HQBF PROPOSITION XII. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from **either of the acute angles to the opposite side produced, the square on the** aide subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle,... | |
| Euclides - 1865 - 402 pages
...the square of the other part. Prop. 12. 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 thau the squares of the sides containing the obtuse... | |
| Architecture - 1865 - 276 pages
...parallelogram ? 6. Prop. 12. Theorem. 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... | |
| John Playfair - Geometry - 1855 - 358 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... | |
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