| 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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