Rational arithmetic |
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Page xii
... · II . PERMUTATION III . - SQUARE MEASURE -- CUBE MEASURE - SQUARES AND CUBES Roor • • - SQUARE AND CUBE · ANSWERS TO EXAMPLES AND QUESTIONS 219 • 249 RATIONAL ARITHMETIC . CHAPTER I. NOTATION AND NUMERATION . NOTATION xii CONTENTS .
... · II . PERMUTATION III . - SQUARE MEASURE -- CUBE MEASURE - SQUARES AND CUBES Roor • • - SQUARE AND CUBE · ANSWERS TO EXAMPLES AND QUESTIONS 219 • 249 RATIONAL ARITHMETIC . CHAPTER I. NOTATION AND NUMERATION . NOTATION xii CONTENTS .
Page 222
... cube , that is to say , a cube is a rectangular solid , having each of its six sides a square . Any square 1 inch thick could therefore be cut into solid or cubic inches , equal in number to the Fig . 1 . b G A B C D d 4 square of the ...
... cube , that is to say , a cube is a rectangular solid , having each of its six sides a square . Any square 1 inch thick could therefore be cut into solid or cubic inches , equal in number to the Fig . 1 . b G A B C D d 4 square of the ...
Page 223
... cube of a line expressed by any number will contain as many smaller cubes ex- pressed by unity as the number multiplied into itself twice , or as its 3rd power . It may likewise be readily seen that the solid ... CUBE MEASURE . CUBE MEASURE.
... cube of a line expressed by any number will contain as many smaller cubes ex- pressed by unity as the number multiplied into itself twice , or as its 3rd power . It may likewise be readily seen that the solid ... CUBE MEASURE . CUBE MEASURE.
Page 224
... cube , the side of which measures 4 feet ? Q. 253. I require a cistern which will be capable of ontaining 320 gallons of water , but I am limited to space , and can allow only 3 feet for its 224 Part IV . RATIONAL ARITHMETIC .
... cube , the side of which measures 4 feet ? Q. 253. I require a cistern which will be capable of ontaining 320 gallons of water , but I am limited to space , and can allow only 3 feet for its 224 Part IV . RATIONAL ARITHMETIC .
Page 225
... cubes we may often facilitate the working of our calculations on this subject , while the investigation is a preliminary , almost necessary to the proper understanding of the method of 0 3 Chap . III . 225 QUESTIONS . SQUARES AND CUBES.
... cubes we may often facilitate the working of our calculations on this subject , while the investigation is a preliminary , almost necessary to the proper understanding of the method of 0 3 Chap . III . 225 QUESTIONS . SQUARES AND CUBES.
Common terms and phrases
1st fig 1st figure 2nd fig 2nd figure acres added amount answer arithmetic arithmetical progression avoirdupois bers calculations called cent common difference common factor compound quantity contained cost counters cube root cubic debt digits divided divisible by 9 divisor dwts exactly example expressed farthings feet follows fractions gallons geometrical geometrical progression greatest common factor heaps higher number hundreds hundredths improper fraction inches interest last period last term least common multiple likewise manner method miles an hour minute mixed number multiplied nine notation noughts number of changes number of equal number of terms obtained operations ounce parcels pence pounds practice prime numbers proportion pupil questions quotient readily rectangle recurring decimal remainder result rule shillings square root subtract suppose taken tenths tons units weight whole number written yards
Popular passages
Page 69 - ... any number divided by 9 will leave the same remainder as the sum of its digits divided by 9.
Page 99 - It will be seen that we multiply the denominator of the dividend by the numerator of the divisor for the denominator of the quotient, and the numerator of the dividend by the denominator of the divisor for the numerator of the quotient.
Page 96 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 194 - Ans. 12 at 2s. 6d., 12 at 3s. 8d., 18 at 4s., and 18 at 4s. 8d. 4". A goldsmith has gold of 17, 18, 22, and 24 carats fine ; how much must he take of each to make it 21 carats fii^e .
Page 210 - Sessa requested that he might be allowed one grain of wheat for the first square on the chess board, 2 for the second, 4 for the third, and so on, doubling continually, to 64, the whole number of squares. Now, supposing, a pint to contain 7680 of these grains, and one quarter or 8 bushels to be worth yja 6d, it is required to compute the value of all the corn ? Ans.
Page 199 - A person travelling into the country, went 3 miles the first day, and increased every day by 5 miles, till at last he went 58 miles in one day : how many days did he travel ? Ans.
Page 198 - The sum of all the terms. Any three of which being given, the other two may be found.
Page 184 - Multiply each payment by the time, at which it is due; then divide the sum of the products by the sum of the payments, and the quotient will be the time required.
Page 211 - Many vegetable productions, if all their seeds were put into the earth, would in a few years cover the.whole surface of the globe. The hyosciamus, which of all the known plants produces perhaps the greatest number of seeds, would for this purpose require no more than four years. According to some experiments, it has been found that one stem of the hyosciamus produces sometimes more ; than 50000 seeds...
Page 108 - Explain why, in the multiplication of two decimals, the number of decimal places to be pointed off in the product is equal to the sum of the decimal places in the multiplicand and multiplier.