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

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

 PART FIRST 13 Addition of Fractions 20 CHAPTER IV 34 Cube Root 40 Less proportional to three 46 Vertical Line 52 Angles on same side 61 Tangent 67
 Table of Lineal Measure 87 114 Area of an inscribed square 117 Area of an Elliptical Seg 129 right line 135 Miscellaneous Examples 136 Solidity of a Parallelopiped 142 Angles about a right line 146 Solidity of a Pyramid 150

 To bisect a line 73 39 90 To find a mean propor 93 portional line 100 To divide a Right Triangle Area of a Trapezoid 106
 Solidity of a Spheroid 164 Solidity of a frustrum of 170 Solidity of a Tetraedron 176 Obtuse and Acute Angles 194 Inclined Plune 202

### 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.