# Proceedings of the Edinburgh Mathematical Society, Volume 3

### What people are saying -Write a review

We haven't found any reviews in the usual places.

### Popular passages

Page 83 - ... une est indépendante de la position du point B, et V autre 2 dépend de la position de ce point. Chercher ce que devient la surface 2 quand, dans la construction qui donne les points de cette surface, on fait jouer au point A le rôle du point B, et inversement. 3°. Le point A restant fixe, déterminer les positions occupées par le point B quand la surface 2 n' a pas un centre unique à distance finie.
Page 78 - ... the sides of the triangle formed by joining the middle points of the sides of the original triangle...
Page 8 - If two circles touch each other, and also touch a given straight line, the part of the straight line between the points of contact is a mean proportional between the diameters of the circles.
Page 34 - Enler's and Lexell's memoirs of 1775. 211. The following properties are also given, viz., considering two similar solid bodies (or in particular any two positions of a solid body) and joining the corresponding points, the lines which pass through one and the same point form a cone of the second order ; and the points of either body form on this cone a curve of the third order (skew cubic). And, reciprocally...
Page 67 - ... equal to the axis-major of the surface. This theorem, due to Prof. Mac Cullagh, is analogous to the theorem for plane curves, that a line through the centre parallel to a tangent to an ellipse cuts off on the focal radii portions equal to the axis-major. 192. M. Chasles has used the...
Page 65 - The rectangle contained by the side of a cone -of revolution enveloping an ellipsoid, intercepted between the vertex and point of contact, and the perpendicular from the centre upon the tangent plane at that point, is constant.
Page 6 - A6 between which it is required to find two mean proportionals in continued proportion...
Page 106 - How I wish I could recollect of circle round The exact relation Archimede unwound! The " relation Archimede unwound...
Page 19 - The series which defines the function may be looked on as a sum of terms, each of which is a product of...