 | Lawrence Robert Dicksee - 1907 - 128 Seiten
...the algebraic identity (a + 6)2 = a"+ 2a& + b*. Q. 7. — Prove that in any obtuse-angled triangle 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 one... | |
 | Euclid - 1908 - 550 Seiten
...cutting a given straight line in extreme and mean ratio. PROPOSITION 12. 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 26 — 2 perpendicular falls, and... | |
 | University of South Africa - 1913 - 768 Seiten
...it from the opposite angle, and the acute angle. In an obtuse-angled triangle, if a perpendicular is drawn from either of the acute angles to the opposite...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 the... | |
 | 1972 - 646 Seiten
...equal to the sum of the squares on the other two sides (Euclid 1.47). 2. In an obtuse-angled triangle, the square on the side subtending the obtuse angle is greater than the sum of the squares on the sides containing it (cf. 11.12). 3. In any triangle, the square on the side... | |
 | Chris Pritchard - 2003 - 572 Seiten
...way, of course. Proposition 1 2 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 by one of the sides about the obtuse angle, namely that on which the perpendicular falls, and the straight... | |
 | Chris Pritchard - 2003 - 572 Seiten
...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 - 2003 - 276 Seiten
...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 - 2005 - 298 Seiten
...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... | |
 | Peter M. Engelfriet - 1998 - 516 Seiten
...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... | |
 | Euclid - 454 Seiten
...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... | |
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... the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse... 
