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A very helpful book to read. Very informative.
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added Addition Adfected Algebra arithmetical becomes bought cent cloth coefficient common completing the square contained cost cube root denominator denotes difference digits Divide dividend divisor equa equal EXAMPLES FOR PRACTICE expressed extracting the root extracting the square fifth find the values five follows four fourth fraction gained gave geometrical Given greater half hence length less letters lues merchants miles months multiplying this equation number of yards paid person piece placed PROBLEM progression proportion Quadratics question quotient ratio received remainder Required the number respective result RULE second equation second term share shillings signifies simple sold solution square root squaring each side substituting this value subtracted surd taken term Theorem third tion transposing transposition travelled triangle twice unknown quantity values of x weight whence whole number x and y yards
Page 11 - 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 9 - 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 12 - 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 77 - 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 11 - 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 38 - 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 11 - In any proportion, the product of the means is equal to the product of the extremes.
Page 11 - Composition, when the sum of the first and second is to the second as the sum of...
Page 78 - 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.