A Theoretical and Practical Treatise on Algebra: In which the Excellencies of the Demonstrative Methods of the French are Combined with the More Practical Operations of the English and Concise Solutions Pointed Out and Particularly Inculcated : Designed for Schools, Colleges and Private Students |
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Page viii
... Specific Gravity Maxima and Minima APPENDIX . 325 327 ELEMENTS OF ALGEBRA . INTRODUCTION . DEFINITIONS AND AXIOMS . viii CONTENTS .
... Specific Gravity Maxima and Minima APPENDIX . 325 327 ELEMENTS OF ALGEBRA . INTRODUCTION . DEFINITIONS AND AXIOMS . viii CONTENTS .
Page 325
... SPECIFIC GRAVITY . Gravity is weight . Specific gravity is the specified weight of one body , compared with the specified weight of another body ( of the same bulk ) , taken as a standard . Pure water , at the common temperature of 60 ...
... SPECIFIC GRAVITY . Gravity is weight . Specific gravity is the specified weight of one body , compared with the specified weight of another body ( of the same bulk ) , taken as a standard . Pure water , at the common temperature of 60 ...
Page 326
... specific gravity . He found , by accurately weighing the bodies both in and out of water , that the specific gravity of gold was 19 , of silver 10.5 , and of the crown 16.5 . From these data he found what portion of the king's gold was ...
... specific gravity . He found , by accurately weighing the bodies both in and out of water , that the specific gravity of gold was 19 , of silver 10.5 , and of the crown 16.5 . From these data he found what portion of the king's gold was ...
Page 327
... specific gravity of pure alcohol is .797 ; a quantity is offered of the specific gravity of .85 , what proportion of water does it contain ? Let A the pure alcohol , and W the water . Then A • 797 + W = A + W .85 Ans . The resolution of ...
... specific gravity of pure alcohol is .797 ; a quantity is offered of the specific gravity of .85 , what proportion of water does it contain ? Let A the pure alcohol , and W the water . Then A • 797 + W = A + W .85 Ans . The resolution of ...
Page
... specific gravity . He found , by accurately weighing the bodies both in and out of water , that the specific gravity of gold was 19 , of silver 10.5 , and of the crown 16.5 . From these data he found what portion of the king's gold was ...
... specific gravity . He found , by accurately weighing the bodies both in and out of water , that the specific gravity of gold was 19 , of silver 10.5 , and of the crown 16.5 . From these data he found what portion of the king's gold was ...
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Popular passages
Page 18 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Page 28 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Page 23 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 191 - Three quantities are said to be 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.
Page 82 - It is required to divide the number 24 into two such parts, that the quotient of the greater part divided by the less, may be to the quotient of the less part divided by the greater, as 4 to 1.
Page 196 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.
Page 191 - 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 198 - If four magnitudes are in proportion, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Page vii - Algebraic operations are based upon definitions and the following axioms : — 1. If the same quantity, or equal quantities, be added to equal quantities, the sums will be equal. 2. If the same quantity, or equal quantities, be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by the same quantity, or equal quantities, the products will be equal. 4. If equal quantities be divided by the same quantity, or equal quantities, the quotients will be equal....
Page 55 - For, if we have given ab' = a'b, then, dividing by bb', we obtain Corollary. The terms of a proportion may be written In any order which will make the product of the extremes equal to the product of the means.