 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...  Report of the Secretary for Public Instruction ... - Page 105by Queensland. Department of Public Instruction - 1892Full view - About this book
 | John Playfair - Mathematics - 1806 - 320 pages
...AH. Which was to be done, Book II. 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 side subtending the obtuse aigle is greater than the squares of the sides contain ng the obtuse... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...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 rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
 | John Mason Good - 1813 - 714 pages
...opposite side produced, the square of the side subtending the obtuse angle is greatcf than the 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 straight line intercepted without the triangle... | |
 | Euclides - 1816 - 588 pages
...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, rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
 | John Playfair - 1819 - 354 pages
...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 rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted between the perpendicular... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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 rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...square of AH. Which was to be done. 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 side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse... | |
 | Euclides - 1834 - 518 pages
...Which was to be done. PROPOSITION 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 side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse... | |
 | Euclid - 1835 - 540 pages
...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 rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted wit/tout the... | |
 | John Playfair - Geometry - 1836 - 148 pages
...opposite side produced, tht square of the side subtending the obtuse angle, is greater than the 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 straight line intercepted without the triangle... | |
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