The Measure of the Circle: Perfected in January, 1845

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For the author, 1854 - Circle-squaring - 156 pages
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Page 104 - Spirit is given to every man to profit withal ; for to one is given by the Spirit the word of wisdom, to another the word of knowledge by the same Spirit ; to another faith by the same Spirit, to another the gifts of healing by the same Spirit, to 'another the working of miracles, to another prophecy, to another discerning of spirits, to another divers kinds of tongues, to another the interpretation of tongues. But all these worketh that one and the self-same Spirit, dividing to every man severally...
Page 110 - Congress was also invested with the sole and exclusive right and power of regulating the alloy and value of coin struck by their own authority, or that of the United States; of fixing the standard of weights and measures throughout the United States...
Page 120 - This knowledge is ri vetted in the memory by the habitual application of it to the employments of men throughout life. Every individual, or at least every family, has the weights and measures used in the vicinity, and recognized by the custom of the place. To change all this at once, is to affect the well-being of every man, woman, and child, in the community. It enters every house, it cripples every hand.
Page 120 - Weights and measures may be ranked among the necessaries of life, to every individual of human society. They enter into the economical arrangements and daily concerns of every family. They are necessary to every occupation of human industry ; to the distribution and security of every species of property ; to every transaction of trade and commerce : to the labors of the husbandman ; to the...
Page 87 - But, beloved, be not ignorant of this one thing, that one day is with the Lord as a thousand years, and a thousand years as one day.
Page 71 - In a right triangle, the side opposite the right angle is called the hypotenuse and is the longest side.
Page 70 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees; and each degree into 60 minutes, each minute into 60 seconds, and so on. Hence a semicircle contains 180 degrees, and a quadrant 90 degrees.
Page 70 - Arch of a Circle contained between the two Lines which form the Angle, the angular Point being the Centre ; thus the Angle HCB. Fig. 7. is measured by the Arch BH ; and is said to contain so many Degrees as the Arch does.
Page 107 - When weights and measures present themselves to the contemplation of the legislator, and call for the interposition of law, the first and most prominent idea which occurs to him is that of uniformity: his first object is to embody them into a system, and his first wish, to reduce them to one universal common standard. His purposes are uniformity, permanency, universality; one standard to be the same for all persons and all purposes, and to continue the same forever.
Page 108 - These purposes, however, require powers which no legislator has hitherto been found to possess. The power of the legislator is limited by the extent of his territories, and the numbers of his people. His principle of universality, therefore, cannot be made, by the mere agency of his power, to extend beyond the inhabitants of his own possessions. The power of the legislator is limited over time. He is liable to change his own purposes. He is not infallible : he is liable to mistake the means of effecting...

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