Key to Dodd's Algebra: Containing All the Problems, and the More Difficult Equations, in that Work. With Their Solutions: Designed to Facilitate the Labor of Teachers

James William Dodd

Pratt, Oakley & Company, 1859

Περιεχόμενα

• PROBLEMS in Simple Equations of one Unknown Quantity: 5
• Problems in Simple Equations of one two c Unknown Quantities: 18
• Problems in Proportion: 37
• Problems in Interest c: 53
• Exercises on Rationalization and Pure Equations: 67
• Problems in Pure Equations and Affected Quadratics Containing but: 82
• Solutions by Means of an Auxiliary Unknown Quantity: 96
• Problems in Quadratic Equations of one or more Unknown Quantities: 114
• Exercises on Affected Cubic and Biquadratic Equations: 132

Δημοφιλή αποσπάσματα

Σελίδα 156 - A put four horses, and B as many as cost him 18 shillings a week. Afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired ? 49.

Σελίδα 143 - A hare is 50 leaps before a greyhound, and takes 4 leaps to the greyhound's 3 ; but 2 of the greyhound's leaps are equal to 3 of the hare's ; how many leaps must the greyhound take, to catch the hare?

Σελίδα 13 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from, home, it lasted the woman 30 days ; how many days would the man be in drinking it alone ? Ans.

Σελίδα 27 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.

Σελίδα 146 - Two persons, A and B, can perform a piece of work in 16 days. They work together for four days, when A being called off, B is left to finish it, which he does in 36 days. In what time would each do it separately?

Σελίδα 172 - Geese, which were proceeding at the rate of 3 miles in 2 hours, he afterwards met a stage wagon, which was moving at the rate of 9 miles in 4 hours. B overtook the same drove of Geese at the 45th mile stone, and met the same stage wagon exactly forty minutes before he came to the 31st mile stone. Where was B when A reached London 1 Solution.

Σελίδα 31 - Two pedestrians start from the same point; the first steps twice as far as the second, but the second makes 5 steps while the first makes but one. At the end of a certain time they are 300 feet apart. Now, allowing each of the longer paces to be 3 feet, how far will each have travelled?

Σελίδα 152 - There were 22 sailors to every three guns, and 10 over ; also, the whole number of hands was five times the number of soldiers and guns together. But after an engagement, in which the slain were* one-fourth of the survivors, there wanted 5 men to mako 13 men to every two guns: required, the number of guns, soldiers and sailors.

Σελίδα 22 - To divide the number 36 into three such parts that ~ of the first, ^ of the second, and } of the third may be all equal to each other ? Ans.

Σελίδα 59 - 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.

Πληροφορίες βιβλιογραφίας

• Τίτλος: Key to Dodd's Algebra: Containing All the Problems, and the More Difficult Equations, in that Work. With Their Solutions: Designed to Facilitate the Labor of Teachers
• Συγγραφέας: James William Dodd
• Εκδότης: Pratt, Oakley & Company, 1859
• Πρωτότυπο από: Πανεπιστήμιο Χάρβαρντ
• Ψηφιοποιήθηκε στις: 21 Φεβ. 2007