Proceedings of the Edinburgh Mathematical Society, Volumes 38-41Scottish Academic Press, 1920 - Electronic journals |
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Common terms and phrases
A₁ Aberdeen angle asymptotic expansion B.Sc B₁ B₂ C₁ C₂ calamoid calculation Cambridge coefficients constant convergence corresponding cos² cubic curve D.Sc d₂ denote difference differential equation double line E. T. WHITTAKER EDINBURGH MATHEMATICAL SOCIETY elliptic function elliptic function solution equal expression finite follows formula GEOMETRY George Heriot's School George Watson's College given Glasgow Gregory Gregory's h₂ Hence High School integral JAMES JOHN Lecturer in Mathematics Lemma limit LL.D London Math Mathieu functions method MILNE n-ads Newton obtain P₁ P₂ perpendicular polynomials positive Professor of Mathematics proof Provincial Training College q₁ respectively result Rigaud Road Robert Gordon's College roots series solution Street tangent Taylor Taylor's Theorem tetrahedra Theorem triangle trigonometric u₁ University College values variable WHITTAKER x₁ y₁ zero μμ
Popular passages
Page 143 - If two triangles which have two sides of the one proportional to two sides of the other, be joined at one angle, so as to have their homologous sides parallel to one another ; the remaining sides shall be in a straight line. Let ABC, DCE be two triangles which have the two sides BA, AC proportional to the two CD, DE, viz.
Page 145 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Page 13 - Quantities, and the ratios of quantities, which, in any finite time, tend constantly to equality, and which, before the end of that time, approach nearer to each other than by any assigned difference, become ultimately equal.
Page 75 - Applying the formula for the area of a triangle in terms of the coordinates of its vertices, we get Area of AABC = \ (2(0 -2) + 3(2 -3) + (-4) (3-0)} =- 19/2.
Page 158 - A TEXT-BOOK OF GEOMETRICAL OPTICS. By AS RAMSEY, MA, President of Magdalene College, Cambridge. New and Revised Edition. Demy 8vo. 8s. 6d. This is a revised edition of the work published in 1914. It contains chapters on Reflection and Refraction, Thin and...
Page 13 - Quantities, and the ratios of quantities, which in any finite time converge continually to equality, and before the end of that time approach nearer to each other than by any given difference, become ultimately equal.
Page 70 - Determination of the Physical Cause which has established the Unsymmetrical Equilibrium of the Earth's Solid Nucleus in the Fluid Envelope, and thereby produced the well-defined Land and Water Hemispheres of the Terrestrial Spheroid, by TJJ SEK.
Page 69 - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid...
Page 15 - Discourse Concerning the Nature and Certainty of Sir Isaac Newton's Method of Fluxions and of Prime and Ultimate Ratios. Robins makes no reference to Berkeley or Jurin, or to their controversy. He lays the foundation of the calculus upon the concept of a limit. He speaks of a limit as a magnitude "to which a varying magnitude can approach within any degree of nearness whatever, though it can never be made absolutely equal to it.
Page 158 - D.Sc , Professor of Mathematics, Leeds University. A First Course in Nomography . By s. brodetsky, ma.. B.Sc, Ph.D., Reader in Applied Mathematics at Leeds University. Demy 8vo. 10s. net. " A very satisfactory elementary account. . . . The diagrams are clearly drawn, and the examples well chosen.