The System of Calculating Diameter, Circumference, Area, and Squaring the Circle: Together with Interest and Miscellaneous Tables, and Other Information (Google eBook)

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J. Morton, 1881 - Circle-squaring - 216 pages
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Page 57 - GOVERNMENT LAND MEASURE. A township — 36 sections each a mile square. A section — 640 acres. A quarter section, half a mile square — 160 acres. An eighth section, half a mile long, north and south, and a quarter of a mile wide — 80 acres. A sixteenth section, a quarter of a mile square — 40 acres. The sections are all numbered 1 to 36, commencing at the north-east corner.
Page 13 - Subtract the square number from the left hand period, and to the remainder bring down the next period for a dividend. III. Double the root already found for a divisor ; seek how many times the divisor is contained in the dividend...
Page 13 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 171 - The meter (metre) was to be the ten-millionth part of the distance from the North Pole to the Equator measured on the meridian passing through Paris, France — not one-millionth, as Mr.
Page 96 - Fellowship is when different stocks are employed for any certain equal time. RULE.* — As the whole stock is to the whole gain or loss, so is each man's particular stock to his particular share of the gain or loss.t PROOF. — Add all the shares together, and the sum will be equal to the gain or loss, when the work is right.
Page 11 - The side of an equilateral triangle inscribed in a circle is equal to the diagonal of a rhombus, whose other diagonal and each of whose sides are equal to the radius. 642. If two circumferences intersect each other, and from either point of intersection a diameter...

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