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added algebraic angles arithmetic base becomes binomial boys called cents changed CHAPTER circle coefficient common complete cost denominator determine difference digits dimensions distance Divide division divisor equal Evidently Exercise Explain exponent expression factors feet figure Find the numbers formula four fraction given gives graph hour Illustrative examples inches indicated known length less literal number logarithm longer means method miles miles per hour Multiply negative Note obtained placed polynomial positive problems proportion quadratic equation quotient radical ratio rectangle Reduce remainder represent respectively result right triangle Rule sets sides similar Similarly Simplify Solution Solve Solve the following square inches square root student Substituting subtracted Suggestion symbols third triangle twice units unknowns weight width Write written
Popular passages
Page 78 - 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 355 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Page 88 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first multiplied by the second, plus the square of the second.
Page 89 - ... the square of the second. Example. — (a + b)2 = a2 + 2ab + b2. a +b a +b + ab + b2 a2 + 2 ab + b2 2. The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Page 355 - If from a point without a circle a tangent and a secant be drawn, the tangent is a mean proportional between the whole secant and its external segment.
Page 355 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Page 361 - The weight of an object above the surface of the earth varies inversely as the square of its distance from the center of the earth.
Page 116 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change.
Page 185 - L is the length of the stroke in feet, A is the area of the piston in square inches, and N is the number of power strokes per minute.
Page 202 - The square root of a number is one of the two equal factors of the number.