5. The medians of a triangle divide each other in the ratio of 2 : 1.
6. Construct a triangle, being given two sides and the median of the third side.
7. In every triangle the sum of the medians is less than the perimeter, and greater than three-fourths of the perimeter.
8. Construct a triangle, being given a side and the two medians of the remaining sides.
9. Construct a triangle, being given the three medians.
10. The angle included between the perpendicular from the vertical angle of a triangle on the base, and the bisector of the vertical angle, is equal to half the difference of the base angles.
11. Find in two parallels two points which shall be equidistant from a given point, and whose line of connexion shall be parallel to a given line.
12. Construct a parallelogram, being given two diagonals and a side.
13. The smallest median of a triangle corresponds to the greatest side.
14. Find in two parallels two points subtending a right angle at a given point and equally distant from it.