Proceedings of the Edinburgh Mathematical Society, Τόμοι 38-41

Δημοφιλή αποσπάσματα

Σελίδα 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.
Σελίδα 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'.
Σελίδα 3 - 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.
Σελίδα 65 - 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.
Σελίδα 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...
Σελίδα 3 - 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.
Σελίδα 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.
Σελίδα 69 - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid...
Σελίδα 5 - 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.
Σελίδα 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.