| Mathematical Association of America - Mathematics - 2003 - 572 pages
...geometrical way, of course. Proposition 12 deals with the obtuse-angled triangle: In obtuse-angled triangles, **the square on the side subtending the obtuse angle...the obtuse angle by twice the rectangle contained** 207 by one of the sides about the obtuse angle, namely that on which the perpendicular falls, and the... | |
| Euclid - Mathematics - 2003 - 276 pages
...a given ratio to the triangle. 165 Dt 64 If a triangle have a given obtuse angle, the area by which **the square on the side subtending the obtuse angle is greater than [the** sum oil the squares on the sides containing the given angle, [that area] will have a given ratio to... | |
| Richard Fitzpatrick - Mathematics - 2005 - 298 pages
...squares on С A and AB by twice the rectangle contained by С A and AD. Thus, in obtuse-angled triangles, **the square on the side subtending the obtuse angle is greater than the** (sum of the) squares on the sides containing the obtuse angle by twice the (rectangle) contained by... | |
| British Columbia. Superintendent of Education - 1897 - 710 pages
...rectangle contained by the parts. 3. In obtuse-angled triangles, if a perpendicular lie drawn from **either of the acute angles to the opposite side produced,...angle, by twice the rectangle contained by the side** on which, when produced, the perpendicular falls, and the straight line intercepted, without the triangle,... | |
| Euclid - 454 pages
...cutting a given straight line in extreme and mean ratio. PROPOSITION 1 2. In obtuse-angled triangles **the square on the side subtending the obtuse angle...the obtuse angle by twice the rectangle contained by** one of the sides about 'he obtuse angle, namely that on which the 26 — 2 perpendicular falls, and... | |
| Peter M. Engelfriet - Mathematics - 1998 - 516 pages
...ie cannot be expressed in whole numbers (OM I, p. 369)." 12. =&mftm Heath In obtuse-angled triangles **the square on the side subtending the obtuse angle...the obtuse angle by twice the rectangle contained by** one of the sides about the obtuse angle, namely that on which the perpendicular falls, and the straight... | |
| Saskatchewan. Department of Education - Education - 1913 - 202 pages
...EFG are equal. 4-. (a) Prove that in an obtuse-angled triangle if a perpendicular be drawn from one **of the acute angles to the opposite side produced,...side subtending the obtuse angle is greater than the** sum of the squares on the other sides by twice the rectangle contained by the side on which, when produced,... | |
| Surveying - 1908 - 608 pages
...i у" - 4.x2 = 4.-K + 1 4. Show that in an obtuse angled triangle, if a perpendicular be drawn from **either of the acute angles to the opposite side produced the square on the side** opposite the obtuse angle is greater than the sum of the squares on the sides forming the obtuse angle... | |
| Education Department - 1879 - 1136 pages
...angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite aide **produced, the square on the side subtending the obtuse Angle is greater than the** sum of the squares on the sides containing the obtu=e angle, by twice the rectangle contained by the... | |
| University of Bombay - 1903 - 1170 pages
...produced and the part produced. 4. In an obtuse-angled triangle, if a perpe ndicnlnr bo drawn from one И **of the acute angles to the opposite side produced, the square on the** sido opposite the obtuse angle is greater than the squares on the sides containing it, by twice the... | |
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