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added Addition Algebra answer Arithmetic axiom base becomes body bought called cent clearing cloth coefficient common containing cost cube root denominator denotes difference digits distance Divide dividend divisor equal EXAMPLES FOR PRACTICE expressed extracting the root fifth find the value fish five follows four fourth fraction gained gallons gave Given gives greater half hand head hence hour known Leeds length less letter merchants miles minus multiplying the equation paid person piece placed play prefixed PROBLEM proportion question quotient radical sign raising ratio reasoning received reduced remainder Required respective rule second equation share shillings signifies sold Solutions square root squaring each side Substituting this value subtracted surd quantity tail taken term third transposing transposition triangle twice unknown quantities unlike value of x weight whence whole yards
Σελίδα 9 - 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.
Σελίδα 10 - 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.
Σελίδα 69 - 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.
Σελίδα 9 - 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...
Σελίδα 36 - 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.
Σελίδα 9 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 9 - Composition, when the sum of the first and second is to the second as the sum of...
Σελίδα 70 - 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.