The Measure of the Circle: Perfected in January, 1845 |
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Common terms and phrases
12 diameter 12 sides 36 rings 38 inches long 4th power 90 degrees added to 36 answer Archimedes billions of trillions biquadrate body called casks cents circle 12 inches circle gains circle that bounds circular form circular measure circum circumference cube cubic inches curve diam dodecagon dry measure earth eter feet figure find the area find the circumference find the measure fluid foot gallon gives globe gravity hexagon hypotenuse imperfect inch wide inches in diameter length mathematics Mean diameter meas measure a circle measure the circle measure to hold millions of billions multiply nonagon oblong square ounce perfect area perfect measure perfect quadrature polygon pound sterling pounds proportion prove radius ratio rhombus square inches square measure square root square the circle standard of weights straight line straight strips subtract Suppose surd number thousands of millions tion trigonometry troy weight vulgar fraction weights and measures yard
Popular passages
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 108 - He is not immortal : his successor accedes to his power, with different views, different opinions, and perhaps different principles. The legislator has no power over the properties of matter. He cannot give a new constitution to nature. He cannot repeal her law of universal mutability. He cannot square the circle. He cannot reduce extension and gravity to one common measure. He cannot divide or multiply the parts of the surface, the cube, or the sphere, by the uniform and exclusive number ten. The...
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 ingenuity of the artificer; to the studies of the philosopher ; to the researches of the antiquarian : to the...
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 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 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...
Page 70 - A polygon of five sides is called a pentagon ; one of six sides, a hexagon ; one of seven sides, a heptagon, Pentagon.