 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...  Examination Papers for Science Schools and Classes - Page 36by Great Britain. Education Department. Department of Science and Art - 1894Full view - About this book
 | Robert Simson - Trigonometry - 1806 - 546 pages
...squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and...triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse angkd triangle, having the obtuse angle ACB, and from the point A let AD be drawn... | |
 | John Mason Good - 1813 - 714 pages
...squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and...triangle between the perpendicular and the obtuse angle. Prop. XIII. Theor. In every triangle, the square of the side subtending any of the acute angles, is... | |
 | Euclides - 1816 - 588 pages
...squares of the sides containing the obtuse angle, by twice the, rectangle contained by the side upon which, when produced, the perpendicular falls, and...triangle between the perpendicular and the obtuse angle. : ABC be an obtuse angled triangle, having the obtuse angle ACS, and from the .point A. let AD be drawn"... | |
 | John Mason Good - 1819 - 800 pages
...squares of the sides containing the obtuse angle, by twice the rectangle contained br the side upon which, when produced, the perpendicular falls, and...intercepted without the triangle between the perpendicular аи-I the obtuse angle. Pmp. XIII. Theor. In every triangle, the square of the side subtending any... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and...triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let. AD be... | |
 | John Playfair - Geometry - 1836 - 148 pages
...squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which when produced the perpendicular falls, and the...triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn... | |
 | Charles Reiner - Geometry - 1837 - 246 pages
...squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and,...triangle, between the perpendicular and the obtuse angle. Obs. — While it is, of course, not to be expected, that the pupils can express the result of a demonstration... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and...triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and...triangle, between the perpendicular and the obtuse angle. Obs. This proposition is so short, and each step so necessary to the proof, that to attempt to simplify... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and...triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn... | |
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