Algebra Self-taught

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E. & F. N. Spon, 1876 - 104 lappuses
 

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6. lappuse - A person has two horses, and a saddle worth £50 ; now, if the saddle be put on the back of the first horse, it will make his value double that of the second ; but if it be put on the back of the second, it will make his value triple that of the first ; what is the value of each horse ? Ans.
62. lappuse - To divide one fraction by another, invert the ' divisor, and proceed as in multiplication.
74. lappuse - IN ARITHMETICAL PROPORTION THE SUM OF THE EXTREMES is EQUAL TO THE SUM OF THE MEANS. 24. GEOMETRICAL' PROPORTION is AN EQUALITY OF GEOMETRICAL RATIOS, AND ARITHMETICAL PROPORTION AN EQUALITY OF ARITHMETICAL RATIOS.
59. lappuse - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.
33. lappuse - There is no moral element, for example, in the conviction we have that things equal to the same thing are equal to one another.

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