 | 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 - 316 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 - 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... | |
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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 on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the... 
