A Course of Mathematics: Designed for the Use of the Officers and Cadets, of the Royal Military College, Τόμος 2


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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 214 - Two partners, A and B, gained £ 140 by trade ; A's money was 3 months in trade, and his gain was ,.£60 less than his stock; and B's money, which was <£50 more than A's, was in trade 5 months. What was A's stock ? Ans.
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.
Σελίδα 43 - In any proportion, the product of the means is equal to the product of the extremes.

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