### Popular passages

Page 13 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 33 - W, where a and b are constants depending on the amount of friction in the machine. If a force of 7 pounds will raise a weight of 20 pounds, and a force of 13 pounds will raise a weight of 50 pounds, what force is necessary to raise a weight of 40 pounds ? (First determine the constants a and b.) Harvard.
Page 51 - Find four numbers in arithmetical progression such that the sum of the first and third shall be 22, and the sum of the second and fourth 36.
Page 53 - A man who can row 4|- miles per hour in still water rows up a stream the rate of whose current is 2 miles per hour. After rowing back he finds that the entire trip took 6 hours.
Page 66 - He was once a candidate for the office of mayor ; but there being two other candidates, and a majority of all the votes cast being necessary for a choice, there was no election ; and he then withdrew from the contest.
Page 80 - Two oars of equal speed leave A and B, 20 mi. apart, at different times. Just as the cars pass each other an accident reduces the power and their speed is decreased 10 mi. per hour. One car makes the journey from A to B in 56 min., and the other from B to A in 72 min. What is their common speed ? Yale.
Page 53 - ... 5. A person who possesses \$15,000 employs a part of the money in building a house. He invests...
Page 74 - The sum of three numbers is 51. If the first number be divided by the second, the quotient is 2 and the remainder 5 ; but if the second number be divided by the third, the quotient is 3 and the remainder 2.
Page 51 - The sum of the first three terms of a GP is 21, and the sum of their squares is 189. What is the first term ? 9.
Page 66 - Substitute these values into the formula for the sum of the first n terms of a geometric progression, and simplify: a -ar...