Proceedings of the Edinburgh Mathematical Society, Volume 6

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Page 52 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 67 - Select the lettered pair of words which are related to each other in the same way as the original pair of words are related to each other.
Page 88 - Time. 60 seconds (sec.) = l minute (min.) 60 minutes = 1 hour (hr.) 24 hours = 1 day.
Page 97 - It is a property of proportional numbers, derived immediately from the definition, that the product of the first and fourth terms is equal to the product of the second and third.
Page 90 - IS, and then take away the 1, leaving the 8, so that the "carrying" occurs before the "putting down." ' In mental examples I also add from top to bottom, and in easy cases from left to right. ' De Morgan, Elements of Arlth., p. 162. so well as to name the product the instant the factors are seen ; that is, until 8 and 7, or 7 and 8 suggest 56 at once, without the necessity of saying, 7- times 8 are 56.
Page 96 - If the first has the same ratio to the second which the third has to the fourth; then, if the first be greater than the third, the second shall be greater than the fourth ; and if equal, equal; and if less, less. Let...
Page 12 - Ö> eine rationale Function ist, erschöpft; auf weitere Fälle geht der Verfasser nicht ein. Wn. AC ELLIOTT. The potential of a spherical magnetic shell deduced from the potential of a coincident layer of attracting matter.
Page 96 - D; if A be greater than C, B is greater than D. Because A is greater than C, and B is any other magnitude, A has (V.
Page 90 - The act of addition must be made in the mind without assistance ; you must not permit yourself to say 4 and 7 are 11, 11 and 7 are 18, etc."5 " Learn the multiplication table 1 See Wundt, Phys. Psych. 3 Ann.
Page 41 - ... are concurrent, then the perpendiculars from the vertices of the second triangle on the sides of the first are also concurrent, Let DEF (fig.

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