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### Innhold

 Circumference of a Circle 45 Arc of a Circle 50 THIRD SECTION AREAS X Table of Square Measure 55 Rectangle 56 Parallelogram 70 Triangle XIV Quadrilaterals 80 Rectilineal Figure 88 Circle 91 Sector of a Circle and Segment of a Circle 100 Simpsons Rule 108 FOURTH SECTION VOLUMES XX Definitions 121 Solid Measure 128 Rectangular Parallelepiped 129 Parallelepiped Prism Cylinder 138 XXIY Segments of a Right Circular Cylinder Ring 146 Pyramid Cone 149 114 152 Frustum of a Pyramid or Cone 155
 Segments of a Right Circular Cylinder Ring 198 Right Circular Cone 201 Frustum of a Right Circular Cone 207 Sphere 212 Zone of a Sphere Segment of a Sphere 215 SIXTH SECTION PRACTICAL APPLICATIONS Jy XL Introduction 221 Artificers Work 224 Timber Measure 228 Gauging 232 SEVENTH SECTION LAND SURVEYING XLIV Use of the Chain 237 Perpendiculars 240 The Fieldbook 244 Problems 255 Duodecimals 257 Metrical System 264 Miscellaneous Examples Pies 267 129 278 ANSWERS 285

### Populµre avsnitt

Side 4 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Side 124 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 17 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw a straight line through the point A parallel to the straight line BC. In BC take any point g D, and join AD ; at the point A in the straight line AD, make the angle DAE equal to the angle
Side 74 - RULE. — From half the sum of the three sides, subtract each side separately; multiply the half -sum and the three remainders together; the square root of the product is the area.
Side 18 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it. Let AB be the given straight line, which may be produced to any length both ways, and let c be a point without it.
Side 7 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Side 4 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Side 272 - The content of a cistern is the sum of two cubes whose edges are 10 inches and 2 inches, and the area of its base is the difference of two squares whose sides are 1┐ and If feet.
Side 155 - To the areas of the two ends of the frustum add the square root of their product ; multiply the sum by the height of the frustum ; and one-third of the product will be the volume.
Side 230 - Add into one sum 39 times the square of the bung diameter, 25 times the square of the head diameter, and 26 times the product of the...