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 102 - 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 108 - 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 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 105 - 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 106 - 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...
Page 70 - A polygon of five sides is called a pentagon ; one of six sides, a hexagon ; one of seven sides, a heptagon, Pentagon.
Page 56 - And hence it is easy to prove by calculation, that a cubic inch of such air as we breathe would be so much rarefied at the altitude of 500 miles, that it would fill a sphere equal in diameter to the orbit of Saturn.

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