Relativity: The Special and General Theory HTML version

The Equality of Inertial and Gravitational Mass
as an argument for the General Postule of Relativity
"Line upon line, line upon line; here a little and there a little."—Isa. xxviii. 10.
What are known as "Points and Lines" puzzles are found very interesting by many
people. The most familiar example, here given, to plant nine trees so that they shall form
ten straight rows with three trees in every row, is attributed to Sir Isaac Newton, but the
earliest collection of such puzzles is, I believe, in a rare little book that I possess—
published in 1821—Rational Amusement for Winter Evenings, by John Jackson. The
author gives ten examples of "Trees planted in Rows."
These tree-planting puzzles have always been a matter of great perplexity. They are real
"puzzles," in the truest sense of the word, because nobody has yet succeeded in finding a
direct and certain way of solving them. They demand the exercise of sagacity, ingenuity,
and patience, and what we call "luck" is also sometimes of service. Perhaps some day a
genius will discover the key to the whole mystery. Remember that the trees must be
regarded as mere points, for if we were allowed to make our trees big enough we might
easily "fudge" our diagrams and get in a few extra straight rows that were more apparent
than real.