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

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

### Contents

 Cube Root 12 PART FIRST 13 To bisect a line 14 CHAPTER II 20 CHAPTER V 39 Cube Root of Fractions 44 Parallel curved Lines 67 To divide a line in 74
 Table of Lineal Measure 93 Area of a circle given 113 Area of a Sector of a circle 125 Area of a Circular Annulus 131 Miscellaneous Examples 136 PART FOURTH 139 CHAPTER II 181 PART FIFTH 193

### Popular passages

Page 15 - 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 191 - 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 21 - Multiply the numerators together for the numerator of the product, and the denominators together for the denominator of the product.
Page 14 - 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 164 - 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 22 - 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 104 - 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 22 - At | of a dollar a yard, how many yards of cloth can be bought for f of a dollar ? 30.
Page 112 - 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.