| Edward Atkins - 1874
...the opposite side produced, tlie square o?i the side subtending the obtuse angle is greater than t/iA **squares on the sides containing the obtuse angle, by twice the rectangle contained by the side** on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 349 pages
...having three acute angles. PROPOSITION III. In obtuse-angled triangles, the square on the side opposite **the obtuse angle is greater than the squares on the sides containing** it by twice the rectangle contained by either of those sides and the part of it intercepted between... | |
| University of Madras - 1876
...a perpendicular be drawn from either of the acute angles to the opposite side produced, prove that **the square on the side subtending the obtuse angle...angle, by twice the rectangle contained by the side** on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
| Euclides, James Hamblin Smith - Geometry - 1876 - 349 pages
...other part. PROPOSITION XII. THEOREM. In obtuse.angled triangles, if a perpendicular be drawn from **either of the acute angles to the opposite side produced,...side subtending the obtuse angle is greater than the** squara on the sides containing the obtuse angle, by twice the rectanglt contained by the side, upon... | |
| Robert Potts - Geometry, Plane - 1876 - 403 pages
...acute angles to the opposite tide produced, the square on the tide tubtending the obtute angle, it **greater than the squares on the sides containing the...obtuse angle, by twice the rectangle contained by the** tide upon which, when produced, the perpendicular falls, and 'the straight line intercepted without... | |
| Education Department,London - 1876
...squares. 2. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles on **the opposite side produced, the square on the side subtending the obtuse angle is greater than the** square on the sides containing the obtuse angle, by twice the rectangle contained by the side on which,... | |
| Edward Atkins - 1876 - 119 pages
...on AH. QEF Proposition 12.— 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 side** sid)tending the obtuse angle is greater than the squares on the sides containing the obtuse angle,... | |
| Euclides, James Hamblin Smith - Euclid's Elements - 1879 - 349 pages
...other part. PROPOSITION XII. THEOREM. In obtuse-angled triangles, if a perpendicular be dravw, from **either of the acute angles to the opposite side produced,...angle, by twice the rectangle contained by the side,** upor^which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
| University of Oxford - Greek language - 1879
...explain the terms ex aequali, alternando. 9. 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... | |
| Euclides - 1879
...right angle. PROPOSITION XII. THEOREM. 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,... | |
| |