The Modern Mechanic: A Scientific and Calculator, Comprising Rules and Tables in the Various Departments of Mechanical Skill and Labor

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Bradley, Dayton, 1861 - 305 pages
 

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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 121 - Powers, are certain simple instruments, commonly employed for raising greater weights, or overcoming greater resistances, than could be effected by the natural strength without them. These are usually accounted six in number, viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Page 61 - In a right triangle, the side opposite the right angle is called the hypotenuse and is the longest side.
Page 57 - 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. 10. Oblique lines change their distance, and would meet, if produced on the side of the least distance.
Page 75 - At a given point A, in a line AB, to make an angle equal to a given angle C. From the centres A and C, with any one radius, describe the arcs DE, FG. Then, with radius DE, and centre F, describe an arc, cutting FG in G. Through G draw the line AG, and it will form the angle required.
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 73 - The areas of circles are to each other as the squares of their diameters.
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.

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