# Arithmetic, algebra, differential and integral calculus, by W. Rutherford. Application of algebra to geometry, plane trigonometry, spherical trigonometry, mensuration, coordinate geometry of two dimensions, by Stephen Fenwick

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### Contents

 Page 1 APPLICATION OF ARITHMETIC TO COMMERCIAL CALCULATIONS 54 ALGEBRA 70 Equations 135 Binomial Surds and Impossible Quantities 151 Piling of Shot and Shells 160 Biquadratic EquationsSimpsons method 175 Exponential Theorem 182
 PLANE TRIGONOMETRY 213 SPHERICAL TRIGONOMETRY 254 57 267 MENSURATION OF PLANES 268 MENSURATION OF SOLIDS 276 COORDINATE GEOMETRY OF TWO DIMENSIONS 282 240 301 The Ellipse 302

 Interest and Annuities 190 Life Annuities 196 APPLICATION OF ALGEBRA TO GEOMETRY 204
 Centres of Curves 309 63 316 66 374

### Popular passages

Page 21 - OF TIME. 60 Seconds = 1 Minute 60 Minutes «= 1 Hour 24 Hours => 1 Day 7 Days = 1 Week 28 Days =• 1 Lunar Month...
Page 153 - Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other...
Page 18 - PROOF. — Multiply the divisor by the quotient, and to the product add the remainder, if any.
Page 17 - Then multiply the divisor by this figure and subtract the product from the figures divided; to the right of the remainder bring down the next figure of the dividend and divide this number as before.
Page 69 - Majesty to inquire into the subject of weights and measures, that a cubic inch of distilled water weighed in air by brass weights at the temperature of 62 degrees of Fahrenheit's thermometer, the barometer being at 30 inches, is equal to 252 grains, and 456 thousandth parts of a grain...
Page 68 - January 31, February 28, March 31, April 30, May 31, June 30, July 31, August 31, September 30, October 31, November 30, December 31.
Page 196 - Laplace's own words, which join the condition of equal likelihood to the fractional relationship, "the probability of an event is the ratio of the number of cases which favor it to the number of all possible cases...
Page 26 - The Least Common Multiple of two or more numbers is the least number which is a multiple of each of them; thus, 12 is the least common multiple of 2, 3, and 4.
Page 161 - One hundred stones being placed on the ground in a straight line, at the distance of 2 yards from each other, how far will a person travel who shall bring them one by one to a basket, placed at 2 yards from the first stone ? Ans.
Page 155 - A traveled 8 miles a day more than B, and the number of days in which they met was equal to half the number of miles B went in a day ; how many miles did each travel per day 1 Ans.