Watson's Tutor's assistant; or, Complete school arithmetic1845 - 12 pages |
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Page 3
... several eminent Teachers , by adding a number of Geometri- cal Problems , which renders the Mensuration unique and complete . W. WATSON . Beverley , January , 1845 . CONTENTS . EXPLANATION OF THE CHARACTERS USED IN ARITHMETIC .
... several eminent Teachers , by adding a number of Geometri- cal Problems , which renders the Mensuration unique and complete . W. WATSON . Beverley , January , 1845 . CONTENTS . EXPLANATION OF THE CHARACTERS USED IN ARITHMETIC .
Page 4
... .. 53 Timber Measure ........ 128 58 .... Mensuration of Surfaces 132 .. .... 60 Mensuration of Solids 147 .... 62 Geometrical Problems 156 .... Interest Discount 70 Miscellaneous Exercises .. 163 81 Appendix 167 ( 21 ) ( 22 ) ( 23 ) (
... .. 53 Timber Measure ........ 128 58 .... Mensuration of Surfaces 132 .. .... 60 Mensuration of Solids 147 .... 62 Geometrical Problems 156 .... Interest Discount 70 Miscellaneous Exercises .. 163 81 Appendix 167 ( 21 ) ( 22 ) ( 23 ) (
Page 126
... PROBLEM 1. — To multiply one number by another . RULE . - Set 1 on B to either of the factors on A ; then against the other factor on B is the product on A. EXAMPLES . 1. Multiply 3 by 7 , by the sliding rule . Set 1 on B to 3 on A ...
... PROBLEM 1. — To multiply one number by another . RULE . - Set 1 on B to either of the factors on A ; then against the other factor on B is the product on A. EXAMPLES . 1. Multiply 3 by 7 , by the sliding rule . Set 1 on B to 3 on A ...
Page 127
... PROBLEM 3. - To find a fourth proportional . RULE . - Set the first term on B to the second on A , then against the third term on B is the fourth on A. EXAMPLES . 1. If 3cwt . cost £ 24 . , what will 7cwt . cost ? Set 3 on B to 7 on A ...
... PROBLEM 3. - To find a fourth proportional . RULE . - Set the first term on B to the second on A , then against the third term on B is the fourth on A. EXAMPLES . 1. If 3cwt . cost £ 24 . , what will 7cwt . cost ? Set 3 on B to 7 on A ...
Page 128
... PROBLEM 1.- To find the area of a plank . RULE . - Multiply the length by the mean breadth , and the product will be the area . * EXAMPLES . 1. What is the content of a plank , 14 feet 6 inches long and 15 inches broad ? By Duodecimals ...
... PROBLEM 1.- To find the area of a plank . RULE . - Multiply the length by the mean breadth , and the product will be the area . * EXAMPLES . 1. What is the content of a plank , 14 feet 6 inches long and 15 inches broad ? By Duodecimals ...
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Common terms and phrases
18 inches 20 feet 2qrs 3qrs acres base Bought breadth brokerage bushel chains chord of half circumference common denominator cube root cubic feet cyphers decimal discount ditto Divide dividend division divisor DRY MEASURE equal EXAMPLES farthings feet 6 inches figure Find the area Find the content Find the interest frustum gain per cent gallons given number greater guineas half the arc half-year's height hour hypotenuse improper fraction inches broad inscribed circle length lowest terms MEASURE miles mixed number Moidore Mult Multiply pence penny perpendicular pints pounds PROBLEM quantity quotient radius ratio Reduce remainder Required the area rhombus right angled triangle rood RULE.-Multiply segment selling shillings slant height sliding rule sold solid content square root square yards subtract TROY WEIGHT vulgar fraction whole numbers yards cost yards of cloth
Popular passages
Page 97 - To reduce a mixed number to an improper fraction. RULE. Multiply the whole number by the denominator of the fraction, and to the product add the numerator for a new numerator, and place it over the denominator. 1. Reduce 127 T \ to an improper fraction.
Page 97 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Page 53 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Page 7 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Page 60 - ... but if the blank fall under the first or second term, the proportion is inverse ; then multiply the third and fourth terms together for a divisor, and the other three for a dividend, and the quotient will be the answer. EXAMPLES.
Page 14 - FOR ADDITION. I. Write the numbers to be added, under each other ; so that units may stand under units, tens under tens, &c.
Page 121 - RULE. 1. Separate the given number into periods of three figures each, beginning at the units place.
Page 22 - Multiply the integer of the quotient by the divisor, and to the product add the remainder, if any ; and the result will equal the dividend, if the work is right.
Page 155 - From three times the diameter of the sphere, take double the height of the segment ; then multiply the remainder by the square of the height, and...
Page 96 - To reduce an improper fraction to a whole or mixed number, — RULE : Divide the numerator by the denominator ; the quotient will be the whole or mixed number.