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actual errors algebraic Alston Moor Analyst arithmetical mean ASAPH HALL axis c. m. inequality Cairngorm centre of gravity Chalcedony circle circle K coefficients column computed constant coordinates correct corresponding cube cubic denote determinant difference differential distance disturbing force Dividend divisor earth eq'n equal equation expansion expressed finite formula Fossil free axes function Geyserite given gives Gray Copper Hence hyperbola infinite infinity integral interpolated interpolated value intersection Lepidodendron limit locus logarithms mass mean method multiply observation orbit origin perigee perpendicular Petzite plane polynomial position probable error q. m. error quantity Quotient radii radius radius of gyration ratio represent respectively roots Rose Quartz sides Solution of problem Spar specimens square straight line Substituting suppose tabular values theorem theory tion Tourmaline triangle variable velocity viii vis viva whence zero
Pàgina 63 - ... sin c cos A cos a ; adding sin2a and transposing, 1 — cos a cos b cos c...
Pàgina 174 - A lamina is bounded on two sides by two similar ellipses, the ratio of the axes in each being m, and on the other two sides by two similar hyperbolas, the ratio of the axes in each being n. These four curves have their principal diameters along the coordinate axes. Prove that the product of inertia about the coordinate axes is (aa_ a' 2) (ft"—/?") where aa', ftft' are the semi-major axes of the curves.
Pàgina 176 - WEEKLY at $3.00 a year, and is admitted to be the best paper devoted to science, mechanics. Inventions, engineering works, and other departments of industrial progress, published in any country. It contains the names of all patentees and title 01 every invention patented each week.
Pàgina 55 - ... vibration is the same as that of a simple pendulum whose length is equal to that of the rods, provided the weight of the rods is small in comparison with that of the body.
Pàgina 33 - TIONS RECEIVED. Essentials of Geometry. By ALFRED H. WELCH, AM 267 pages 8vo. Chicago : 8. C. Griggs and Company. 1883. "We have many good text books on Geometry, but it would be difficult to find one containing all the meritorious features of this book. The author's style in clear, concise, and logical, and the exercises and suggestions that are interspersed through the work will be found of much value to the student. Besides, the publishers have greatly enhanced the value of the book by a typography...
Pàgina 169 - A cone of given weight W is placed with its base on an inclined plane, and supported by a weight W which hangs by a string fastened to the vertex of the cone and passing over a pulley in the inclined plane at the same height as the vertex.
Pàgina 68 - ... by a force to a point in the axis, varying inversely as the square of the distance, the curvatures of the meridian curve of the free surface at the equator and pole are respectively...
Pàgina 51 - When it can be shown that the value of a variable, measured at a series of definite intervals, can by indefinite continuation of the series be...
Pàgina 11 - The force is proportional to the square of the velocity and inversely proportional to the radius of turn during radial acceleration.
Pàgina 9 - Forty years' experience in the preparation of more than One Hundred Thousand applications for patents in the United States and Foreign countries, the publishers of the Scientific American continue to act as solicitors for patents, caveats, trade-marks, copyrights, etc., for the United States, and to obtain patents in Canada, England, France, Germany, and all other countries. Their experience is unequaled and their facilities are unsurpassed.