| Marianne Nops - 1882
...AB. Wherefore the straight line, &c. — QEF PROPOSITION XII., THEOREM. In obtuse-angled triangles **the square on the side subtending the obtuse angle...is greater than the squares on the sides containing** it, by twice the rectangle contained by one of those sides and the projection of the other upon it,... | |
| 1882
...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 its continuation to meet a perpendicular on it from the opposite angle. 7. If one... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...12. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute anglet **to the opposite side produced, the square on the side subtending the obtuse angle** it greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained... | |
| Humanities - 1883
...the sum of the squares on the sides which contain the acute angle ; (e}. 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 ; (/). In an isosceles triangle whose vertical angle... | |
| University of Cambridge - 1884
...equal to a given rectilineal angle. 5. In obtuse-angled triangles, if a perpendicular be 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,... | |
| Woolwich roy. military acad - 1884
...its diameter will also be a rhombus. 5. In obtuse-angled triangles, if a perpendicular be 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,... | |
| Education - 1884
...square on half the line. Prop, s, Bk. H. 3. In obtuse-angled triangles, if a perpendicular be drawn from **either of the acute angles to the opposite side produced,...subtending the obtuse angle is greater than the squares** containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced,... | |
| Stewart W. and co - 1884
...BH is equal to the square of AH. . — 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 subtending the obtuse angle, is greater than the squares of the sides containing the obtuse... | |
| Education - 1885
...triangles, if a perpendicular be drawn from either of the acute angles to the opposite sideproduced, **the square on the side subtending the obtuse angle,...the rectangle contained by the side upon which, when** produce-!, the perpendicular falls, and the straight line intercepted without the triangle between... | |
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