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AmPm antiparallel arithmetic arithmetical progression axis of similitude B.Sc bisected Brocard points centre of inversion centre of similitude centroid cercle circles inverse circonférence circular axis collinear common tangent cross section curve inverse density described Edinburgh EDINBURGH MATHEMATICAL SOCIETY equal equation equilateral triangle Figure 41 filament fluid follows geometrical George Watson's College given circle Glasgow Hence intersect inverse points join ktan le point medians middle point minimum numbers multiply parallel perpendicular point inverse point of concurrence point similar proportion quantities radical axis radius ratio of similitude rectangle of inversion right angle ring sides are GH square straight line PQ superparticulars systems of points Take any point term theorem three progressions triangle ABC triangle whose sides valeur velocity vertices vortex vorticity W. J. MACDONALD δα δε σ δρ
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 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.