Contents
Reviews
Introduction to Quaternions. By the late Professors P. Kelland and P. G. Tait. 3rd Edition. Prepared by C. G. Knott. Pp. 208. 1904. (Macmillan.)
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Five-Figure Tables of Mathematical Functions. By J. B. Dale. Pp. vi, 92. 1903. (Arnold.)
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- 03 November 2016, pp. 42-43
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Methodisches Lehrbuch der Elementar-Mathematik. By G. Holz-Muller. Vol.III. 2nd Edition. Pp. xiv, 370. 1903. (Teubner.)
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- 03 November 2016, p. 43
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Der Geometrische Vorkursus in Schulgemaszer Darstellung. By E. Wienecke. Pp. 97. 1904. (Teubner.)
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Formulaire de Mathématiques Spéciales. By G. Papelier. Pp.217. N.p. 1904. (Vuibert&Nony.)
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Solutions
422. [K. 1. a.] Three collinear points are at distances a1, a2, a3 from one another and r1, r2, r3 from a fourth point distant p from their line; prove that Σa = 0, Σar2 + IIa = 0, p2IIa2=4sII(s- ar),where 2s = Σar
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423. [B. 1. a.] Evaluate in terms of the zeros of ax2 + bx + c, or otherwise, the determinant of the nth order,
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429. [R. 4. a.] Three equal smooth spheres of radius r rest in a hollow hemisphere of radius R with their centres in the same horizontal plane; a cone whose weight is equal to the weight of a sphere and whose semivertical angle is a, is inserted symmetrically between the spheres with its vertex downwards; prove that the spheres will separate if
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442. [L1. 1. b.] [Mechanical Construction of a Hyperbola.] A triangle slides with its base on a fixed straight line: prone that the line joining a fixed point to a carried point cuts a side in a point whose locus is a hyperbola; and find the asymptotes
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481. [L1. 10. d.] PQ is a chord of a parabola meeting tlie axis in a fixed point H so that AH=8AS, and P’Q’ its projection on the tangent at the vertex: shew that the locus of the intersection of PQ’. P’Q is a circle
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483. [L1. 4. c.] The tangents to an ellipse at Q and R intersect at a point P on a coaxial ellipse whose axes are respectively n times those of the former curve. Find the locus of the centroid of the triangle PQR
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Other
Column for “Queries,” “Sale and Exchange,” “Wanted,” Etc
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- 03 November 2016, pp. 47-48
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Books Received
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- 03 November 2016, pp. 48-49
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Front Matter
MAG volume 3 issue 45 Cover and Front matter
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- 03 November 2016, pp. f1-f2
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Back Matter
MAG volume 3 issue 45 Cover and Back matter
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- 03 November 2016, p. b1
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