## 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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### Common terms and phrases

added algebra angle axis base becomes called centre changed circle coefficient common consequently contained coordinates cosec curve decimal denominator denote determined diameter difference differential distance divided division draw equal equation EXAMPLES expression factors feet figure fraction function given gives greater greatest height hence inches increased integrate length less limit logarithms manner maximum means measure method miles multiplied negative obtained origin parallel passing perpendicular person plane positive preceding Prove quantity quotient radius ratio reduced respectively result root shot sides similar sine solution square straight line subtraction surface taken tangent term third triangle unit unknown variable

### 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.