...which when properly arranged shall form a parallelogram whose angles axe of give* magnitude. 2. In obtuse-angled triangles, if a perpendicular be drawn...the opposite side produced, the square of the side suhtending the obtuse angle is greater than the squares of the sides containby the obtuse angle, by...

...be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 9. In obtuse-angled triangles, if a perpendicular be drawn...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...

...(ii.) (2.r + 3 у - 2 rate + J 7 3 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...

...two given squares and having one of its angles equal to half a right angle. B 11. In obtuse 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...

...Parallelograms upon the same ba*e, and between the same parallels, are equal. 3. In an obtuse angled triangle, 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, contained by the base and the...