| 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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