| Robert Simson - Trigonometry - 1827 - 546 pages
...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...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 - 210 pages
...obtuse-angled triangle, if a perpendicular be drawn from either of the two acute angles to the opposite side produced, the square of the 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
...In obtuse angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending 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 - 544 pages
...In obtuse angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending 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 - 148 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
...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...perpendicular falls, and the straight line intercepted without the triangle, between the perpendicular and the obtuse angle. Obs. This proposition is so short,... | |
| Charles Reiner - Geometry - 1837 - 246 pages
...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...perpendicular falls and the straight line intercepted, without the triangle, between the perpendicular and the obtuse angle. 11. In acute-angled triangles,... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...Iii obtuse-angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending 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,... | |
| Robert Simson - Geometry - 1838 - 434 pages
...In obtuse angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending 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,... | |
| Euclides - 1838 - 264 pages
...an obtuseangledtriangle, if a perpendicular be drawnfrom either of the acute angles to the opposite side produced, the square of the side subtending 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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