## The student's algebra |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Common terms and phrases

5th power added ADFECTED QUADRATIC Algebra answer the conditions arithmetical progression axiom bushels coefficient completing the square compound quantity cube root denominator denotes difference digits dividend divisor equa EXAMPLES FOR PRACTICE extracting the root extracting the square find the values Find two numbers four quantities fourth power fraction gain gallons geometrical progression given equation hence hypothenuse least common multiple lues miles multiplying this equation number of yards perpendicular QUADRATIC EQUATIONS quantities be proportionals question quired quotient radical sign ratio remainder Required each person's Required the cube Required the length Required the number Required the price Required the sides Required the square Required the sum right angled triangle second equation second term shillings signifies square root squaring each side substituting this value subtracted surd quantity Theorem third three numbers transposing transposition unknown quantity values of x vulgar fraction whence whole number yards of silk

### Popular passages

Page 31 - 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 29 - Ratio is the relation which one quantity bears to another in respect of magnitude, the comparison being made by considering what multiple, part, or parts, one is of the other.

Page 32 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.

Page 15 - Divide the coefficient of the dividend by the coefficient of the divisor.

Page 97 - Prob. 3. Find two numbers, the greater of which shall be to the less, as their sum to 42 ; and as their difference to 6.

Page 31 - If the first magnitude be the same multiple of the second that the third is of the fourth, and the fifth the same multiple of the second that the sixth is of the fourth...

Page 58 - Sib., his head weighs as much as his tail and half his body, and his body weighs as much as his head and his tail ; what is the whole weight of the fish ? . Aas.

Page 31 - In any proportion, the product of the means is equal to the product of the extremes.

Page 31 - Composition, when the sum of the first and second is to the second as the sum of...

Page 98 - A farmer with 28 bushels of barley at 2s. 4d. per bushel, would mix rye at 3 shillings per bushel, and wheat at 4 shillings per bushel, so that the whole mixture may consist of 100 bushels, and be worth 3s. 4d. per bushel. How many bushels of rye, and how many of wheat must he mix with the barley ? Ans.