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Página 330 - The circle contains a greater area than any other plane figure, bounded by an equal perimeter, or outline. 2. The areas of circles are to each other as the squares of their diameters ; any circle twice the diameter of another contains four times the area of the other.
Página 277 - Divide as in whole numbers, and point off as many figures for decimals in the quotient, as the decimal places in the dividend exceed those in the divisor.
Página 279 - Multiply each term in the multiplicand, beginning at the lowest, by the feet in the multiplier, and write...
Página 304 - ... ends. Problem 57. What is the relative strength of a beam fixed at one end and loaded at the other, to a beam uniformly loaded and supported at both ends? Answer.
Página 323 - A sphere is a solid figure described by the revolution of a semicircle about its diameter, which remains unmoved.
Página 335 - The Measure of an angle, is an arc of any circle contained between the two lines which form that angle, the angular point being the centre ; and it is estimated by the number of degrees contained in that arc.
Página 335 - The Tangent of an arc, is a line touching the circle in one extremity of that arc, continued from thence to meet a line drawn from the centre through the other extremity; which last line is called the Secant of the same arc.
Página 322 - MULTIPLY the longest diameter, or axis, by the shortest ; then multiply the product by the decimal -7854, for the area. As appears from cor. 2, theor. 3, of the Ellipse, in the Conic Sections. Ex. 1. Required the area of an ellipse whose two axes are 70 and 50.
Página 294 - If the vessel have a poop or half deck, or a break in the upper deck, measure the inside mean length, breadth, and height of such part thereof as may be included within the bulk-head ; multiply these three Measurements together, and dividing the product by 92.4, the quotient will be the number of tons to be added to the result as above found.