 | Sandhurst roy. military coll - 1859 - 672 pages
...described upon the sides which contain the right angle. 2. 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...square on AH. QEF • PROPOSITION XII. THEOREM. In obtuse-angled triangles, if a perpendicular be drawtt from either of the acute angles to the opposite side...angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
 | Joseph Charles Parkinson - 1860 - 154 pages
...the half and the part produced. 8. PROP. XII. — 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 Paxton Hall - 1860 - 186 pages
...of the half and the part produced. PROP. XII. — 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... | |
 | Civil service - 366 pages
...of the half and the part produced. PEOP. XII. — 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... | |
 | War office - 1861 - 260 pages
...to one 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...triangle between the perpendicular and the obtuse angle. 3. When is a straight line said to touch a circle ? To draw a straight line from a given point, either... | |
 | 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...triangle, between the perpendicular and the obtuse angle. If a line be drawn from the vertex of an isosceles triangle to the base, or the base produced, the... | |
 | War office - 1861 - 714 pages
...have an angle 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
...the square on AH. QEF PROPOSITION 12.— THEOKEM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...triangle, between the perpendicular and the obtuse angle. (References — Prop. I. 47; II. 4.) Hypothesis. — Let ABC be an obtuse-angled triangle, having the... | |
 | Euclides - 1862 - 172 pages
...the square of AH. Q. R F. PROP. XII — THEOREM. In obtuse-angled triangles, 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 greater than the squares of the sides containing... | |
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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... 
