# The Arithmetician's Guide: Being a New, Improved, and Compendious System of Practical Arithmetic. Designed Either for the Use of Schools, Or the Benefit of Private Persons; and Adapted to the Capacities of Beginners ...

W. Ward; and sold, 1766 - Arithmetic - 333 pages

### Popular passages

Page 64 - Up starts a hare before my two greyhounds. The dogs, being light of foot, did fairly run, Unto her fifteen rods, just twenty-one. The distance that she started up' before Was fourscore sixteen rods just, and no more.
Page 124 - RULE. — Multiply all the numerators together for a new numerator, and all the denominators for a new denominator.
Page 119 - To reduce a mixed number to an improper fraction. RULE. — Multiply the whole number by the denominator of the fraction...
Page 285 - A man was hired 50 days on these conditions. — that, for every day he worked, he should receive \$ '75, and, for every day he was idle, he should forfeit \$ '25 ; at the expiration of the time, he received \$ 27'50 ; how many days did he work...
Page 118 - To reduce a whole number to an equivalent fraction, having a given denominator. RULE. Multiply the whole number by the given denominator, and place the product over the said denominator, and it will form the fraction required.
Page 174 - Opposite to each dividend, on the left hand, place such a number for a divisor as will bring it to the next superior name, and draw a line between them.
Page 10 - Thoufands, how far .are thofe two Luminaries afunder in an Eclipfe of the Sun, when the Moon is lineally between the Earth and Sun ? and in another of the Moon, when the Earth is in a Line between her and him-?
Page 301 - To find the solidity of a parallelopipedon, that is, a solid contained by six quadrilateral planes, every opposite two of which, are equal and parallel. RULE— Multiply the length by the breadth, and that product again by the thickness or height, and it will give the solidity. EXAMPLES. 1. What is the solidity of a parallelopipedon, whose length is 12 feet, breadth 4 feet, and height 6 feet ? 12X4X6=Ans. 288 solid feet. 2. How many solid feet in a load of wood 8 feet long...
Page 74 - If 248 men, in 5 days, of 11 hours each, can dig a trench 230 yards long, 3 wide...
Page 251 - Divide the greatest term by the least ; find what power of the ratio is equal to the quotient, then, add one to the index of that power, and the sum will be the number of terms.