Proceedings of the Edinburgh Mathematical Society, Volume 11Scottish Academic Press, 1893 |
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Proceedings of the Edinburgh Mathematical Society Edinburgh Mathematical Society Visualizzazione completa - 1966 |
Proceedings of the Edinburgh Mathematical Society, Volumi 16-19 Edinburgh Mathematical Society Visualizzazione completa - 1898 |
Parole e frasi comuni
A'D² A₁ algebra angles areals associative law B.Sc bisects Bois-Reymond centre circumcentre circumcircle co-ordinates College concyclic condition conic convergence corresponding Crelle's Journal D.Sc diameter Dirichlet distance drawn Edinburgh elastic equal escribed Euler excircles expression finite Fourier series function fundamental geometrical George Watson's College Gibbs given Glasgow gravitational Hamilton's Heaviside Hence incircle infinite number inscribed circle integral isogonal isogonally conjugate JOHN ALISON Lagrange layer m₁ Mathématiques memoir method mid points n₁ nine-point circle notation oblique Cartesians obtained orthocentre paper parallel perpendicular to BC plane point of BC Poisson's Professor Professor Gibbs proof proves quantities quaternion radial stress radius represent respectively Riemann scalar shell solution square straight lines suppose surface symmedian point tangent theorem triangle ABC trigonometric series trilinears uniform convergence Vaß vector analysis versor Σα
Brani popolari
Pagina 11 - Find an expression for the area of a triangle in terms of the coordinates of its angular points.
Pagina 146 - Renew is to be conducted, and it may be of interest to the members of the Society to have these presented in outline.
Pagina 42 - 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.
Pagina 8 - The circle which passes through the middle points of the sides of a triangle touches the four circles which touch the three sides.
Pagina 49 - 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.
Pagina 43 - ... which hold good for any number of vectors. In the first equation the manipulation is as in common algebra, in all respects. In the second, in all respects save one ; for the reversal of the order of the vectors in a vector product negatives it, thus, Vac = - Vca.
Pagina 64 - where the reader may be puzzled to find out why the usual simple notion of differentials is departed from, although the departure is said to be obligatory.
Pagina 65 - The question arises whether the quaternionic product can claim a prominent and fundamental place in a system of vector analysis. It certainly does not hold any such place among the fundamental geometrical conceptions as the geometrical sum, the scalar product, or the vector product. The geometrical sum a + ,? represents the third side of a triangle as determined by the sides a and ;5.
Pagina 43 - Sa/8 represent the sine and the cosine of the angle included between a and ft, combined in each case with certain other simple notions. But the sine and cosine combined with these auxiliary notions are incomparably more amenable to analytical transformation than the simple sine and cosine of trigonometry, exactly as numerical quantities combined (as in algebra) with the notion of positive or negative quality are incomparably more amenable to analytical transformation than the simple numerical quantities...