Mathematical Questions and Solutions, from the "Educational Times.", 第 20 巻

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F. Hodgson, 1874
 

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28 ページ - The locus of a point, the sum of the squares of whose distances from n fixed points is constant, is a circle.
28 ページ - Find the locus of a point such that the sum of the squares of its distances from two fixed points shall be equivalent to the square of the distance between the fixed points.
103 ページ - In other words, the moment of the resultant about any point is equal to the algebraical sum of the moments of the forces about the same point.
61 ページ - Along a line of curvature tangent planes are drawn to a surface of the second order. The perpendiculars from the centre on these planes generate a cone of the second order, whose focal lines coincide with the optic axes of the surface or with the perpendiculars to its circular sections. Since a line of curvature is generated by the intersection of two confocal surfaces, let the equations...
56 ページ - If four quantities are in arithmetical proportion, the sum of the extremes is equal to the sum of the means. Thus...
46 ページ - The external angle between two tangents to an ellipse is equal to the semi-sum of the angles subtended by the chord of contact at the foci ;

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