...sides containing the acute angle. 127. The square on the side subtending an obtuse angle of a triangle is greater than the squares on the sides containing the obtuse angle. 128. If the square on one side of a triangle be less than the squares on the other two sides, the angle...

...the opposite sides meet in a point. SECTION IV. 1. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...triangle, between the perpendicular and the obtuse angle. The square on the side of an equilateral triangle is equal to three times the square on the radius...

...paper, but to make use of the whole set. («) 1. 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...

...except when the line is bisected. SECTION IV. 1. 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...

...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,...

...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...

...opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight lino intercepted without the triangle...

...the square on A H. QEF Proposition XII. 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...

...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...

...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...