 | 1868 - 344 pages
...triangle, if a perpendicular be drawn from either of the acute angles to the opposite side prsrtuced, the square on the side subtending the obtuse angle is greater than the sqnares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon... | |
 | Euclides - 1870 - 270 pages
...squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and...triangle between the perpendicular and the obtuse augle. 3. II. If a st. line be divided into any two parts, the rectangle contained by the whole and... | |
 | Euclides - 1871 - 136 pages
...XIIL of Book II. Thus the enunciation of Prop. xn. might be : — • " In oblique-angled triangles, the square on the side subtending the obtuse angle...is greater than the squares on the sides containing that angle, by twice the rectangle contained by one of these sides and the projection of the other... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...and XIH. of Book II. Thus the enunciation of Prop. xn. might be : — " In oblique.angled triangles, the square on the side subtending the obtuse angle...is greater than the squares on the sides containing that angle, by twice the rectangle contained by one of these sides and the projection of the other... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...In an obtuse-angled triangle the square on the side subtending the obtuse angle exceeds the sum of the squares on the sides containing the obtuse angle by twice the rectangle contained by either of them and the distance between a perpendicular drawn to that side produced from the opposite... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...rectangle AB, BH is equal to the square of AIL XII. — 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 sub' tending the obtuse angle, is greater than the squares of the sides containing the... | |
 | Edward Atkins - 1874 - 426 pages
...the square on AH. QEF Proposition 12. — Theorem. In obtuse-angled triangles if a perpendicular be drawn from either of the acute angles to the opposite...perpendicular falls, and the straight line intercepted without th« triangle, between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle,... | |
 | Euclides - 1874 - 120 pages
...cut in section.' medial PROPOSITION 12. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...which, when produced, the perpendicular falls, and the staight line intercepted without the triangle, between the perpendicular and the obtuse angle. j f.... | |
 | Euclides - 1874 - 342 pages
...the square on AH. QEF PROPOSITION 12. — Theorem. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
 | Edward Atkins - 1874 - 428 pages
...the square on AH. QEF Proposition 12. — Theorem. In obtuse-angled triangles if a perpendicular be drawn from either of the acute angles to the opposite side produced, tlie square o?i the side subtending the obtuse angle is greater than t/iA squares on the sides containing... | |
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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... 
