## The Tutor's Assistant: Being a Compendium of Practical Arithmetic, for the Use of Schools Or Private Students ... |

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### Common terms and phrases

acres allowing amount angle annuity annum answer bill Bought bushels called carry Cash cent circle circumference cloth common Compound Interest contained continue cost crowns cube root debt decimal denominator diameter difference discount Divide dividend division divisor dwts ells equal EXAMPLE exchange extreme farthings feet figures four fourth fraction gain gallons give given greater gross half hence hundred inches interest length less London MEASURE method miles months Multiply NOTE paid payable payment period person pieces pounds present worth principal proportion purchase quantity quarters quotient rate per cent receive Reduce remainder root RULE selling share shillings side simple sold square square root sterling subtract supposed Table third thousand units weight whole yards

### Popular passages

Page 115 - The top of a castle from the ground is 45 yards high, and is surrounded with a ditch 60 yards broad ; what length must a ladder be to reach from the outside of the ditch to the top of the castle ? Ans.

Page 85 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.

Page 168 - ... multiply the square of the diameter by ,7854 and the product will be- the area.

Page 124 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.

Page 125 - Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms.

Page 120 - EXAMPLES. 1. A schoolmaster, being asked how many scholars he had, said, If I had as many, half as many, and one quarter as many more, I should have 264: how many had he?

Page 165 - Multiply the sum of the two parallel sides by the perpendicular distance between them, and half the product will be the area.

Page vii - ... best to tread the old beaten Path, and to sweat at their Business when they may do it with Pleasure, may start an Objection against the Use of this well intended Assistant. Another author writes in more detail and lets us see more of the schoolroom technique and the reason for having printed texts : Having some time ago drawn up a set of rules and proper questions, with their answers annexed, for the use of my own school and divided them into several books, as well for more ease to myself as...

Page 84 - Hence the rule .for finding the greatest common divisor of two numbers : Divide the greater number by the less, and that divisor by the remainder, and so on, always dividing the last divisor by the last remainder, till nothing remain.

Page 176 - As three times three does three. But when ten years and half ten years We man and wife had been, Her age approached as near to mine As eight is to sixteen.