 | J. Goodall, W. Hammond - 1848 - 388 pages
...points of section. 3. Prove that in obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. Section 4. 1. Divide a given straight... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...was to be done. PROP. XII. THEOR. In obtuse angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the...obtuse angle, by twice the rectangle contained by the Me upon which, when produced, the perpendicular falls, and the straight line intercepted without the... | |
 | Education - 1850 - 488 pages
...square of the whole line. 3. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the...obtuse angle, by twice the rectangle contained by that side upon which when produced, the perpendicular falls, and the straight line intercepted without... | |
 | George Roberts Perkins - Geometry - 1850 - 332 pages
...the three remainders, and it will be the area. PROPOSITION X. THEOREM. In any obtuse-angled triangle, the square of the side subtending the obtuse angle is greater than the sum of the squares of the other two sides, by twice the rectangle of the base and the distance of the... | |
 | Great Britain. Committee on Education - 1850 - 914 pages
...Parallelograms upon the same base, and between the same parallels, are equal. 3. In an obtuse angled triangle, the square of the side subtending, the obtuse angle is greater than the sum of the squares of the sides containing it by twice the rectangle, contained by the base and the... | |
 | Euclides - 1852 - 152 pages
...OF EUCLID. PROP. XII. THEOR. In obtuse angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the sides subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle,... | |
 | University of Sydney - Universities and colleges - 1853 - 134 pages
...latter side is a right angle. 7. In obstuse angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 8. The angle at the centre of... | |
 | Euclides - 1853 - 146 pages
...be done. PROP. XII. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted without the triangle, between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle,... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...be done. PROPOSITION XII. THEOR. In obtuse-angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the...side upon which, when produced, the perpendicular fulls, and the straight line intercepted without the triangle, between the perpendicular and the obtuse... | |
 | Euclides - Geometry - 1853 - 176 pages
...PEOPOSITION XII. — THEOREM. In obtuse-angled triangles, if a perpendicular be drawn froni any of the acute angles to the opposite side produced, the...of the side subtending the obtuse angle is greater tJian the squares of the sides containing the obtuse angle, by twice the rectangle contained by the... | |
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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 of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the... 
