## The Mechanic's Calculator: Comprehending Principles, Rules, and Tables in the Various Departments of Mathematics and Mechanics; Useful to Millwrights, Engineers, and Artisans in General |

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angle applied axis base beam body bottom breadth called carried cast centre circle circumference column common contained cube cubic cylinder denominator depth diameter difference direction distance divided draw effect engine equal fall feet figure fixed fluid foot force four fraction give given gravity greater half heat hence horses inches increase iron length less lever machine means measure mechanic minute motion move multiplied nearly necessary opening parallel perpendicular pinion pipe piston plane pounds pressure principle proportion pump quantity quotient radius raised resistance result round rule shaft side simple space square square root steam strength stroke supposed surface taken teeth term thickness third tons triangle tube turns valve velocity weight wheel whole

### Popular passages

Page 20 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.

Page 21 - Rule. — Multiply the whole number by the denominator of the fraction, add the numerator to the product and place the denominator under the result.

Page 23 - The denominator of a decimal, though never expressed, is always the unit, 1, with as many ciphers annexed as there are figures in the decimal.

Page 61 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.

Page 113 - GLAZIERS' WORK. GLAZIERS take their dimensions, either in feet, inches, and parts, or feet, tenths, and hundredths. And they compute their work in square feet. ' In taking the length and breadth of a window, the cross bars between the squares are included. Also windows of round or oval forms are measured as square, measuring them to their greatest length and breadth, on account of the waste in cutting the glass.

Page 113 - What cost the painting of a room, at 6d. per yard; its length being 24 feet 6 inches, its breadth 16 feet 3 inches, and height 12 feet 9 inches ; also the door is 7 feet by 3 feet 6...

Page 57 - When aline is mentioned simply, it means a Right Line. 7. A Curve continually changes its direction between its extreme points. 8. Lines are either Parallel, Oblique, Perpendicular, or Tangential. 9. Parallel lines are always at the same perpendicular distance ; and they never meet, though ever so far produced.

Page 259 - The areas of circles are to each other as the squares of their diameters.

Page 95 - Triangle. Take the square root of the sum of the squares of the short sides of the triangle.

Page 69 - AB, bisecting it into the two equal parts AD, DB ; then will the sum of the squares of AC, CB, be equal to twice the sum of the squares of CD, BD; or Ac* -f CB* = 2CD* + 2DB*. For, let CE be perpendicular to the base AB. Then, since (by th. 36) AC...