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acting angle answer appears axis base becomes body called centre of gravity circle coefficient 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 third triangle velocity weight whence whole
Σελίδα 57 - 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.
Σελίδα 294 - 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.
Σελίδα 84 - 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...
Σελίδα 234 - 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.
Σελίδα 45 - If any number of magnitudes are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents.
Σελίδα 272 - Fig. 83,84. conjugate diameters is equal to the sum of the squares of the axes ; but in an hyperbola the difference of the squares of any two conjugate diameters is equal to the difference of the squares of the axes.
Σελίδα 214 - Find two numbers whose product is equal to the difference of their squares, and the sum of their squares equal to the difference of their cubes.
Σελίδα 98 - B, where each consisted of as many ranks as it had men in front, was 84; but when the columns changed ground, and A was drawn up with the front that B had, and B with the front that A had, then the number of ranks in both columns was.