## 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 FenwickJ. Weale, 1853 - Mathematics |

### Common terms and phrases

A B C algebra asymptotes axis centre circle consequently coordinates cosec cube curve decimal denominator denote determined diameter differential coefficient distance divided divisor dx dy dx² dy dx ellipse equal equation EXAMPLES expression feet find the area find the value formula fraction frustum function greatest common measure height hence hyperbola inches integrate latus rectum least common multiple locus logarithms maximum minimum multiplied negative parabola perpendicular polygon positive quotient radius ratio right angle sides sine spherical triangle straight line subtangent subtraction surd tangent Trigonometry variable vers Whence x dx

### Popular passages

Page 19 - OF TIME. 60 Seconds = 1 Minute 60 Minutes «= 1 Hour 24 Hours => 1 Day 7 Days = 1 Week 28 Days =• 1 Lunar Month...

Page 151 - 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 16 - PROOF. — Multiply the divisor by the quotient, and to the product add the remainder, if any.

Page 15 - 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 67 - 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 66 - 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 194 - 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 24 - 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 159 - 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 153 - 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.