# Shop Mathematics ...: Advanced shop mathematics

McGraw-Hill book Company, 1913 - Arithmetic
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### Contents

 Algebraic sums 13 Addition of polynomials 14 CHAPTER III 16 Subtraction of polynomials 18 CHAPTER IV 23 Transposition 24 Rules of transformation 28 Changing signs 29 CHAPTER V 32 Art PAGE 26 Law of signs 33 Multiplication of polynomials 34 Division of polynomials 36 Factoring 37 CHAPTER VI 40 Solution of equations 42 CHAPTER VII 45 Solving by substitution 46 Solving by elimination 47 Equations of more then two unknowns 48 Quadratic equations 49 CHAPTER VIII 53 Use of curves 55 CHAPTER IX 62 Equation of a straight line 65 Finding the equation for a line 67 Equations of curves 69 CHAPTER X 73 Angles 74 Angular measure 75 To draw a line parallel to another line and at a given distance from it 78 To divide a line into any number of equal parts 79 To bisect an angle 80 To erect a perpendicular from a point not on a line 82 To find the center of an arc or a circle 83 To find the radius of an arc 85 Angles with the vertex inside or outside of a circle 87 CHAPTER XI 90 The square 91 The rectangle 94 The pentagon 95 The hexagon 96 Long and short diameters of hexagons 97 Table for spacing circles 99 The ellipse 100 CHAPTER XII 103 Area of a parallelogram 104 Area of a trapezoid 105
 ART PAGE 89 Flow through pipes 118 The cone 120 Frustrums of cones and pyramids 121 The prismoidal formula 122 Segment of a sphere 123 Volumes of irregular objects 125 CHAPTER XIV 127 To measure an angle by its tangent 130 Tangents of some common angles 131 The cotangent 133 Use of the tables 135 CHAPTER XV 147 Dimensions of V threads 150 Dimensions of U S standard threads 151 Tapers and taper turning 152 Inverse functions 154 CHAPTER XVI 157 The cosine 159 The secant 160 Laying out angles 161 Use of the tables 162 CHAPTER XVII 166 ART PAGE 121 Briggs standard pipe threads 167 French or metric standard screw threads 168 Square threads 169 Multiple threads 171 Relations between trigonometric functions 172 CHAPTER XVIII 175 Functions of 0 176 Functions of 90 177 Functions of 180 178 Law of sines 181 Application of laws to problems 182 Areas of triangles 183 CHAPTER XIX 187 Fractional exponents 188 Explanation of logarithm tables 189 Interpolation from tables 190 Antilogarithms 191 Multiplication by logarithms 192 Division by logarithms 193 CHAPTER XX 201 Powers and roots 203 Fractional powers 204 Logarithms of trigonometric functions 205 Index 207 Copyright

### Popular passages

Page 74 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the center.
Page ii - World v Engineering News-Record American Machinist �" The Contractor Engineering 8 Mining Journal ^ Power Metallurgical 6 Chemical Engineering Electrical Merchandising...
Page 25 - Any term may be transposed from one side of an equation to the other by changing its sign.
Page 119 - The altitude of the pyramid is the perpendicular distance from the vertex to the base. A pyramid is called triangular, quadrangular, etc., according to the shape of the base.
Page 28 - Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign, be changed.
Page 182 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Page 189 - The characteristic of the logarithm of a number greater than 1 is a positive integer or zero, and is one less than the number of digits to the left of the decimal point.
Page 157 - It is the ratio of the side opposite the angle to the hypotenuse.
Page 203 - The square root of a number is one of the two equal factors of the number.
Page 74 - An angle less than a right angle is called an acute angle; an angle greater than a right angle and less than two right angles is called an obtuse angle.