. The American educator; completely remodelled and rewritten from original text of the New practical reference library, with new plans and additional material. ILLUSTRATION OF CIRCLE find the area of one triangle, we can findthe areas of as many triangles as we havemade from our circle. Therefore, to find thearea of a circle: Find the area of one of the triangles andmultiply by the number of triangles, or inbriefer form, multiply the circumference ofa circle by half its radius. The Cylinder. A cylinder is a round bodywith equal and parallel circles for its basesand having a uniform diameter. I


. The American educator; completely remodelled and rewritten from original text of the New practical reference library, with new plans and additional material. ILLUSTRATION OF CIRCLE find the area of one triangle, we can findthe areas of as many triangles as we havemade from our circle. Therefore, to find thearea of a circle: Find the area of one of the triangles andmultiply by the number of triangles, or inbriefer form, multiply the circumference ofa circle by half its radius. The Cylinder. A cylinder is a round bodywith equal and parallel circles for its basesand having a uniform diameter. In the ac-companying figure the line EF represents thealtitude, AB the diameter. The convex sur-face is the curved exterior. To find the convex surface of a cylindermultiply the circumference of the base by itsaltitude. You can easily understand thereason for this rule if you can imagine that. THE CYLINDER the entire outer surface can be changed inshape so that it lies flat as a rectangle. Thearea of a convex surface of a cylinder is thesame as the area of such a rectangular figure. MENSURATION 2300 MENSURATION To find the volume of a cylinder multiplythe area of the base by the altitude. Thearea of the base is the area of one of thecircles fonning the base, and above weexplained how to find the area of a circle. Common Measurements. On this and thefollowing pages will be found the piincipalshort rules in use in connection with commonmeasurements. Measures of Capacity. To find the numberof bushels of grain in a bin or box, multiplythe length in feet by the height in feet, thenby the width in feet and then by 8, striking together and divide the product by 4. Forinstance: A cistern is 6 feet wide, 8 feet long and 4feet deep; multiply together equals 192. 192-^-4=48 barrels of 31^ gallons each. A tank 5 feet square will hold 6 barrels forevery foot of depth. A tank 6 feet squa


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