| John Playfair - Euclid's Elements - 1806 - 311 pages
...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 - 1827 - 513 pages
...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
...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... | |
| Robert Simson - Trigonometry - 1835 - 513 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...side upon which, when produced, the perpendicular** fulls, and the straight line intercepted without the triangle between the perpendicular and the obtuse... | |
| John Playfair - Euclid's Elements - 1836 - 471 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,** tchen produced, the perpendicular falls, and the straight line intercepted between the perpendicular... | |
| Euclides - Euclid's Elements - 1837 - 88 pages
...x BH = AH*. PROPOSITION XII. Theorem. 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... | |
| Charles Reiner - Geometry - 1837 - 215 pages
...sides containing the right angle. 10. 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 - Geometry - 1838 - 416 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,** wnen produced, the perpendicular falls, and the straight line intercepted without the triangle between... | |
| Euclides - 1838
...Which was to be done. PROP. XII. THEOR. In an obtuseangledtriangle, if a perpendicular be drawnfrom **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 - 1840
...obtuse-angled triangle, the square of the side subtending the obtuse angle exceeds the sum of the squares of **the sides containing the obtuse angle, by twice the rectangle contained by** either of those sides and the produced part of it intercepted between the perpendicular let fall on... | |
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