A Collection of Mathematical Rules and Tables: Including Interest, Equation of Payment, Mensuration, Geometry, and Trigonometry, Rules for Calculating Diameter, Circumference, Area and Squaring the Circle : Together with the Metric System of Weights and Measures for Purveying Medicines and Other Official Purposes, Rules for Converting Terms of U.S. Apothecaries' Weights and Measures Into Their Respective Equivalents of the Metric System

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David McKay, 1887 - Mathematics - 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 of this root from the left hand period, and to the remainder bring down the next period for a dividend. Thirdly — Double the root already found, for a divisor. Ascertain 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...
Page 59 - Earth's orbit is subject to an annual progressive motion of 11778" (Delambre). If the Earth, then, be supposed to start from perihelion, it will require a longer interval of time than the sidereal period to reach perihelion again, and the excess will be equal to the time necessary for the Earth to describe n-8...
Page 174 - EDUCATION. GRAMME is the standard unit of French measures of weight, and is the weight of a cubic centimetre of distilled water at 0...
Page 137 - In applying them to the manufacture of wrought-iron, the mode of working which has hitherto given the best results is as follows : Fluorspar and oxides of iron (titanic iron ore) are ground to a fine powder, mixed thoroughly, and thrown into the ordinary puddling furnace ; the molten cast-iron to be acted on is then poured over the spar and oxides, which remain on the bottom of the furnace. The furnace-door is closed, and the iron allowed to boil for about half an hour; the rabble is then worked...
Page 184 - Officers shall, for all official, medical, and pharmacal purposes, make use of the metric system of weights and measures. In expressing quantities by weight the term, of 'gram' and 'centigram,' and in expressing quantity by measure the term 'cubic centimeter

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