| Euclides - 1826 - 226 pages
...equal to the square of AH. Which was to be done. PROPOSITION XII. THEOREM. In obtuse angled triangles, **the square of the side subtending the obtuse angle is greater than the squares,** which are made by the sides containing the obtuse angle by twice the rectangle contained under one... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...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...twice the rectangle contained by the side upon which,** vchen produced, the perpendicular Jails, and the straight line intercepted without the triangle between... | |
| John Playfair - Geometry - 1829 - 186 pages
...in all respects. In any obtuse-angled triangle, if a perpendicular be drawn from either of the two **acute angles to the opposite side produced, the square...side subtending the obtuse angle is greater than the** sum of the squares of the sides containing it by twice the rectangle under the base and the distance... | |
| Euclid - 1835 - 540 pages
...was to be done. PROP. XII. THEOR. In obtuse angled triangles, if a perpendicular be drawn from any of **the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted** wit/tout the triangle between the perpendicular and the obtuse angle. Book II. 12. I. U4. 2. c 47.... | |
| Robert Simson - Trigonometry - 1835 - 513 pages
...ivan to be done. PROP. XII. THEOR. In obtuse angled triangles, if a perpendicular be drawn from any of **the acute angles to the opposite side produced, 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 - Geometry - 1836 - 114 pages
...triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, tht **square of the side subtending the obtuse angle, is...perpendicular falls, and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle,... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...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...perpendicular falls, and the straight line intercepted** without the triangle, between the perpendicular and the obtuse angle. Obs. This proposition is so short,... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...AH. PROPOSITION XII. THEOREM. Iii obtuse-angled triangles, if a perpendicular be drawn from any of **the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle,... | |
| Charles Reiner - Geometry - 1837 - 246 pages
...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...perpendicular falls and the straight line intercepted,** without the triangle, between the perpendicular and the obtuse angle. 11. In acute-angled triangles,... | |
| Robert Simson - Geometry - 1838 - 434 pages
...was to be done. PROP. XII. THEOR. In obtuse angled triangles, if a perpendicular be drawn from any of **the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted** without the triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle,... | |
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