## Proceedings of the Edinburgh Mathematical SocietyScottish Academic Press, 1893 - Mathematics |

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### Common terms and phrases

algebra angle B.Sc bisects Cartesians centre centroid circumcentre circumcircle College concyclic cône conic convergence coordonnées corresponding D.Sc denote diameter Dirichlet's drawn Edinburgh elastic equal equation Euler excircles expression finite Fourier series function Gentleman's Diary geometrical George Watson's College given straight line Glasgow h₁ h₂ Hamilton's Heaviside Hence incentre incircle infinite number inscribed circle integral intersection isogonal isogonally conjugate l'équation Lady's and Gentleman's layer Lemoine m₁ Mathématiques memoir method mid point n₁ nine-point circle notation orthocentre parallel pedal triangle plane point of BC points of contact Professor Professor Gibbs proof quantities quaternion r₁ r₂ radial stress radius reciprocal respectively scalar solution square suppose surface symmedian symmedian point tangent theorem touches triangle ABC trigonometric series trilinears uniform convergence Vaß vector analysis versor vertices

### Popular passages

Page 5 - To draw a straight line perpendicular to a given straight line from a given point without it . 26 4.

Page 7 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.

Page 14 - ABC be the given rectilineal figure, to which the figure to be described is required to be similar, and D that to which it must be equal. It is required to describe a rectilineal figure similar to ABC, and equal to D. Upon the straight line BC describe (cor.

Page 166 - Review is to be conducted, and it may be of interest to the members of the Society to have these presented in outline.

Page 9 - Find an expression for the area of a triangle in terms of the coordinates of its angular points.

Page 9 - SEGMEBTT of a circle being given to describe the circle of which it is the segment.* Let ABC be the given segment of a circle ; it is required to describe the circle of which it is the segment.

Page 60 - must be ranked as one of the retarders of quaternion progress, in virtue of his pamphlet on Vector Analysis; a sort of hermaphrodite monster, compounded of the notations of Hamilton and Grassmann.

Page 76 - ... the sum of the squares on half the line and on the line between the points of section*.

Page 24 - The circle which passes through the middle points of the sides of a triangle touches the four circles which touch the three sides.

Page 67 - Va/3 than any which depend on the definition of a quaternion, will appear in a strong light if we try to extend our formulae to space of four or more dimensions. It will not be claimed that the notions of quaternions will apply to such a space, except indeed in such a limited and artificial manner as to rob them of their value as a system of geometrical algebra.