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acting angle answer appears axis base becomes body called center of gravity circle coefficients column common consequently considered continued Corol cube cubic curve denominator denote depth descending described diameter difference direction distance divided division draw drawn equal equation example expression factors feet fluid foot force fraction given gives greater greatest half Hence horizontal inches infinite least length less lever manner mean method miles motion move multiplied nearly parallel perpendicular plane positive preceding pressure progression proportional quantities quotient radius ratio reduced resistance respectively root shot sides similar sine space specific gravity square square root substituted subtracted Suppose surface taken tangent third triangle velocity weight whence whole
Page 238 - The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the two rectangles contained by its opposite sides.
Page 67 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 66 - Subtract the power from the given quantity, and divide the first term of the remainder by the...
Page 302 - Every body continues in its state of rest, or uniform motion in a right line, unless it is compelled to change that state by forces impressed upon it.
Page 116 - How much gold of 15, of 17, and of 22 carats fine, must be mixed with 5 oz. of 18 carats fine, so that the composition may be 20 carats fine ? Ans.
Page 134 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 94 - 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 23 - Divide the less number by the remainder, the last divisor by the last remainder, and so on, till nothing remains. The last divisor will be the greatest common divisor sought.