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Within three quarters of a century the people of the continental colonies had increased nearly eightfold from 200,000 in 1689, to 1,500,000 in 1760.
First comes an introduction about avoiding extremes of either self-indulgence or self-mortification. This was specially appropriate to his hearers who were ascetics and disposed to over-rate the value of austerities. Next he defines the middle way or eightfold path.
Thus perfected, Buddha then devised for the world's benefit the eightfold path, right sight, and so on, the only true path for the world to tread. Thus did he complete the end of "self," as fire goes out for want of grass; thus he had done what he would have men do; he first had found the way of perfect knowledge.
All the Iroquois, irrespective of nationality, were therefore divided into eight families, each tracing its descent to a common mother, and each designated by its distinctive emblem or totem. This connection of clan or family was exceedingly strong, and by it the five nations of the league were linked together as by an eightfold chain. It requires, however, to be qualified.
Freedom from the wheel of re-birth is gained by the Eightfold Path of right beliefs and right acts. Enough of the idea of a soul and enough of the idea of immortality exists even in this religion to make these assumptions important. But what have modern science and philosophy to say about these age-old ideas? Is the soul any longer in favor?
Then he enunciates the four truths of the nature of suffering, its origin, its cessation, and the method of bringing about that cessation. This method is no other than the eightfold path. Then his hearers understood that whatever has a beginning must have an end. This knowledge is described as the pure and spotless Eye of Truth.
That the extreme penalties of hell were thus averted from him, was on account of David's eightfold repetition of his son's name in his lament over him. Besides, David's intercession had the effect of re-attaching Absalom's severed head to his body.
But that reduction of one-half in diameter increased the resistance of the burner FOURFOLD, and reduced its radiating surface TWOFOLD, and thus increased eightfold, its ratio of resistance to radiating surface.
When we double the linear dimensions of a steamship in all its parts, we increase not only her weight but her floating power, her carrying capacity, and her engine capacity eightfold. But the resistance which she meets with when passing through the water at a given speed is only multiplied four times.
That eightfold increase of proportion enabled the resistance of the conductor of electricity from the generator to the burner to be increased eightfold, without any increase of percentage of loss of energy in that conductor, or decrease of percentage of development of heat in the burner; and thus enabled the area of the cross-section of that conductor to be reduced eightfold, and thus to be made with one-eighth of the amount of copper or other metal, which would be required if the reduction of diameter of the burner from one-thirty- second to one-sixty-fourth of an inch had not been made.
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