Proceedings of the Edinburgh Mathematical Society, Volumes 38-41

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Scottish Academic Press, 1920 - Electronic journals
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Page 153 - 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 155 - 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 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 viii - 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 vii - 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.

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