The Common Sense of the Exact Sciences

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Appleton, 1885 - Mathematics - 271 pages
 

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Page 4 - XI. Animal Mechanism. A Treatise on Terrestrial and Aerial Locomotion. By Professor EJ Marey. With 117 Illustrations.
Page 74 - 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 3 - II. Physics and Politics ; or, Thoughts on the Application of the Principles of "Natural Selection " and " Inheritance
Page 3 - ANIMAL MECHANISM : a Treatise on Terrestrial and Aerial Locomotion. By Professor EJ Marey. With 117 Illustrations. Second Edition. Crown 8vo. price 5*.
Page 253 - We have one point moving along a curve up towards another point, and we want to consider what happens to the line joining them when the two points approach indefinitely near to one another. The result at which we have arrived by means of our microscope is that, by taking the points near enough together, the line may be made to approach as near as we please to the tangent to the curve at the point a. This, therefore, gives us a definition of the tangent to a curve in terms only of measurable quantities....
Page iv - XXXV. VOLCANOES : What they Are and what they Teach. By JOHN W. JUDD, FRS, Professor of Geology in the Koyal School of Mines.
Page 124 - Hence we may shear any triangle into a right-angled triangle, and this will not alter its area. Thus the area of any triangle is half the area of the rectangle on the same base, and with height equal to the perpendicular upon the base from the opposite angle. This height is also termed the altitude, or height of the triangle, and we then briefly say: The area of a triangle is half the product of its base into its altitude. A succession of shears will enable us to reduce any figure bounded by straight...
Page 4 - THE NATURE OF LIGHT, with a General Account of Physical Optics. By Dr. EUGENE LOMMEL.
Page 4 - XVIII. The Nature of Light. With a General Account of Physical Optics. By Dr. Eugene Lommel. With 188 Illustrations and a Table of Spectra in Chromo-lithography. Third Edition. Crown 8vo, 5*. XIX. Animal Parasites and Messmates. By Monsieur Van Beneden.

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