...which has the greater angle shall be greater than the base of the other. 5. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles j and the three interior angles of every triangle are together equal to two right angles. Add and prove...

...EAF parallel to the given straight line BC. QEF PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let A BC be a triangle, and let one of its sides...

...line BC. QEF PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle i* equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let^-BCbeatriangle,andletone of its sides 5...

...the same side together equal to two right angles. Prop. 32. — Theorem. If one side of any triangle be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of every triangle are equal to two right angles. Prop. 34. — Theorem. The opposite sides and angles...

...EAF parallel to the given straight line B CQEF PROPOSITION XXXII. THEOREM. lf a side of any triangle be produced, the exterior angle is equal to the two...opposite angles; and the three interior angles of every triangle are together equal to two right angles. Let AB C be a triangle, and let one of its sides...

...lines, it makes the alternate angles equal to one another. (Eue. I., 29.) 6. If a side of a triangle he produced, the exterior angle is equal to the two interior...and opposite angles; and the three interior angles are equal to two right angles, or 180°. (Eue. L, 32.)* 7. The square upon the hypolheneuse of a right-angled...

...introduction to the analytical method. Thus, take for example i. 32, in which we are required to prove that the exterior angle is equal to the two interior and opposite angles. First, draw the line CE, assuming that it divides the exterior angle into parts that are respectively...

...the given straight line BC. QEF PROPOSITION 32. THEOREM. If a side of any triangle &« produced, tlie exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle, are together equal to two right angles. Let ABC be a triangle, and let one of its sides...

...Exercises on parallels . ...... ..17 SECTION III. PLANE TRIANGLES. THEOREM 8. If one side of a triangle is produced, the exterior angle is equal to the two interior...opposite angles, and the three interior angles of any triangle are together equal ' to two right angles ii 20 THEOREM 9. An isosceles triangle has the...

...BC. (I. 27.) PROPOSITION XXXII. THEOREM. If a tide of any triangle be produced, the exterior angle it equal to -the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let A BC be a triangle, and let one of its sides...