Mathematical wrinkles for teachers and private learners, consisting of knotty problems;mathematical recreations; answers and solutions; rules of mensuration; short methods; helps, tables, etc., (1923)
Jones, Samuel I. (Samuel Isaac), 1880- · Nashville, Tenn., S. I. Jones · leaf 95
e length of the longest piece is less than half the length of the stick. But the probability that a fragment of a stick shall be half the original length of the stick is i. Hence the probability that a triangle can be con¬ structed out of the 3 pieces into which the stick is broken is 184. A… … .-. CF= CN. Join A and 0 ; also join 0 and B. Then AO = BO. .*. the triangles AOF and OBN are congruent. (Being right triangles having AO = BO and OF = ON.) .\ AF= BN. .*. AF + FC = CN + NB, or AC = BC.
