Mensuration for Beginners: With Numerous Examples
Macmillan and Company, 1869 - 296 pages
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12 feet 12 inches 24 feet 9 inches acres base breadth broad called centre circle circumference contains corresponding cube cubic feet cubic inches curved surface determine diagonal diameter difference distance divided draw drawn edge ends equal Examples expressed feet 6 inches feet 9 feet long field figure find the area find the height find the length find the number find the volume foot four frustum given Hence hold inches long inches wide length measures meet miles multiply obtain perpendicular piece places plane prism pyramid radii radius rectangle result right angles right circular cone right circular cylinder ring round Rule sector segment shew side similar slant height solid sphere square feet square inches square root square yard straight line Suppose trapezoid triangle twice vessel walls wedge weighs whole surface
Page 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.
Page 124 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 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
Page 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.
Page 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.
Page 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.
Page 4 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Page 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.
Page 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.
Page 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...