Geometry: Applied to the Mensuration of Lines, Surfaces, Solids, Heights and Distances

C.S. Francis, 1836 - Measurement - 211 pages

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Page i - God's eternal store, to circumscribe This universe, and all created things. One foot he centred, and the other turn'd Round through the vast profundity obscure, And said, Thus far extend, thus far thy bounds, This be thy just circumference, O world.
Page 17 - To reduce a mixed number to an improper fraction. Multiply the whole number by the denominator of the fraction, and to the product add the given numerator.
Page 193 - Every circumference of a. circle, whether the circle be large or small, is supposed to be divided into 360 equal parts called degrees. Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.
Page 23 - Multiply the numerators together for the numerator of the product, and the denominators together for the denominator of the product.
Page 16 - To reduce an improper fraction to a whole or mixed number, Divide the numerator by the denominator. The quotient will be the whole number, and the remainder, if...
Page 166 - From three times the diameter of the sphere, take double the height of the segment ; then multiply the remainder by the square of the height, and the product by the decimal .5236...
Page 24 - It will be seen that we multiply the denominator of the dividend by the numerator of the divisor for the denominator of the quotient, and the numerator of the dividend by the denominator of the divisor for the numerator of the quotient.
Page 106 - To find the area of a trapezoid, multiply half the sum of the parallel sides by the shortest distance between them. NOTE 3. — A trapezoid is a figure, like the one in the annexed diagram, bounded by four straight lines, only two of which are parallel.
Page 24 - At | of a dollar a yard, how many yards of cloth can be bought for f of a dollar ? 30.
Page 114 - Divide the square of half the chord by the versed sine, and to the quotient add the versed sine ; the sum will be the diameter of the circle.