Aiton’s Encyclopedia
A Practical Reference Library in Five Volumes — keyed from the public-domain original
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Mensuration

the art of measuring. Properly speaking mensuration is an application of geometry. Some of the common principles are the following:

The area of a triangle is equal to half the product of its base by its altitude.

The area of a square, rectangle, or parallelogram, is equal to the product of the base and altitude.

The area of a trapezoid is equal to half the product of the sum of the two parallel sides by the altitude.

To find the circumference of a circle, multiply the diameter by 3.1416.

To find the diameter of a circle, divide the circumference by 3.1416.

To find the area of a circle, multiply the square of the radius by 3.1416.

To find the surface of a sphere, multiply the square of the diameter by 3.1416.

To find the volume or contents of a sphere, multiply the surface by the diameter, and divide the product by 6.

To find the volume or contents of a cylinder, multiply the area of the base by the altitude.

To find the volume or contents of a pyramid, multiply the area of the base by the altitude, and divide the product by 3.

To find the volume or contents of a cone, multiply the area of the base by the altitude, and divide the product by 3.

Volume III · Aiton’s Encyclopedia