...of its equal AE, PROPOSITION XX. — THEOREM. 257. If a straight line drawn from the vertex of any angle of a triangle divides the opposite side into parts which are proportional to the adjacent sides, the line bisects the angle. Let the straight line AD, drawn. E from the vertex of the...

...vertices are, must be parallel to D E. PROPOSITION XIX. — THEOREM. 256. Tlie straight line bisecting any angle of a triangle divides the opposite side into parts, which are proportional to the adjacent sides. In any triangle, ABC, let the an- E gle В А С be bisected by the straight line AD...

...vertices are, must be parallel to D E. PROPOSITION XIX. — THEOREM. 256. The straight line bisecting any angle of a triangle divides the opposite side into parts, which are proportional to the adjacent sides. In any triangle, ABC, let the an- E gle BAC be bisected by the straight line AD ; then...

...of its equal AE, PROPOSITION XX. — THEOREM. 257. If a straight line drawn from the vertex of any angle of a triangle divides the opposite side into parts which are proportional to the adjacent sides, the line bisects the angle. Let the straight line AD, drawn E from the vertex of the...

...which their vertices are, must be parallel to D E. THEOREM XII. 203. The straight line bisecting any angle of a triangle divides the opposite side into parts, which are proportional to the adjacent sides. In any triangle, ABC, let the angle E BA C be bisected by the straight line \'"--.......

...which their vertices are, must be parallel to D E. THEOREM XII. 203. The straight line bisecting any angle of a triangle divides the opposite side into parts, which are proportional to the adjacent sides. In any triangle, ABC, let the angle E BA C be bisected by the straight line \ ,. AD;...

...text-book you have studied and to what extent.] 1. To draw a common tangent to two given circles.' 2. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides. 3. The area of a parallelogram is equal to the...

...perpendicular let fall from the vertex of the right angle, («.) the length of this perpendicular. 10. Prove that the bisector of an angle of a triangle divides the opposite side into parts that have the same ratio as the adjacent sides. Hints. — If ABC is the triangle, BD the bisector,...

...similar polygons. 3. Test for similarity of polygons. 4. The sum of the exterior angles of a polygon. 5. The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides. 6. The bisector of an exterior angle of a triangle divides...

...formulas of § 36 become when one of the angles is a right angle ? 2. Prove by means of the Law of Sines that the bisector of an angle of a triangle divides the opposite side into parts pro> portional to the adjacent sides. 3. What does Formula [26] become when A = 90° ? when A = 0°...