 | Robert Simson - Trigonometry - 1806 - 518 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 - Euclid's Elements - 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... | |
 | John Mason Good - 1813 - 722 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 - 528 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 - 1819 - 740 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... | |
 | John Playfair - 1819 - 317 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 - 372 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 - 513 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... | |
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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 on the side subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the... 
