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But if we are convinced that these statements express even vaguely the tendency of human development in all its past history, we are confident that these tendencies will continue in the future for a period somewhat proportional to their time of growth in the past. If we are wise, we try to make our own lives and actions, and those of our fellows, conform to and advance them.

But with the simplest numbers there is no need of all this. If the numbers 1, 2, 3, for instance, be given, every one can see that the fourth proportional is 6 much more clearly than by any demonstration, because from the ratio in which we see by one intuition that the first stands to the second we conclude the fourth.

M'Cay's conclusion that proportional representation can only be used in electorates returning an odd number of representatives is shown to be entirely unwarranted. Equally fallacious is Professor Nanson's rebutting statement that "scientific proportionalists recommend odd electorates."

The people are reserving to themselves more and more of the function of their one- time representatives, in such measures as the referendum and initiative intimate, and are trying to secure more accurate representation in such systems as the direct primary and proportional representation suggest; but these all are possible only through the aid of the wheel and of what it has brought.

Hare and proportional representation. In England Mr. Hare, Mr. Mill, Rowland Hill, and his brother, and Professor Craik, all considered my "Plea for Pure Democracy" the best argument from the popular side that had appeared. I got the kindest of letters from them, and my brother considered my labour and his money well spent.

He had been giving the largest of them, Roebuck's Universal Gas and Electric Company, called the Power Trust, more than its proportional share of the privileges and spoils. The others had protested in vain, and as a last resort had ordered their lawyers to organize a movement to "purify" Jackson County, Dominick's stronghold.

The method of cradling is the same, the appliances required are simple and inexpensive, and the proportional yield of gold highly reassuring. It is impossible to forecast the results of this most momentous discovery. It will revolutionise the new world. It will liberate the old. It will precipitate Australia into a nation.

The mean weight of the earth below the mouths of burrows and to leeward, was to that above the mouths and on the windward side as 2.75 to 1; whereas we have seen that with several castings which had flowed down slopes having a mean inclination of 9 degrees 26 seconds, and with three castings where the inclination was above 12 degrees; the proportional weight of the earth below to that above the burrows was as only 2 to 1.

Thus, in Great Britain, towards the close of the nineteenth century, these makers and repairers of machinery were, with the exception of coal-miners, the industrial body whose proportional increase was greatest. In the modern world the spending of capital as income is a process which, in proportion as it became general, would accomplish itself by affecting the position of men like these.

You have had the knowledge for three centuries without applying it. "It was in 1609 that your greatest astronomer, John Kepler, announced as one of three harmonic laws by which the universe was governed, that the squares of the times of the planets were proportional to the cubes of their distances from the sun; and that this law was true in physics and everywhere.