## The Analyst, Volumes 9-10J.E. Hendricks, 1882 - Electronic journals The Analyst publishes research articles in pure mathematics. |

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### Contents

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### Common terms and phrases

a+b sec actual ANALYST angle applied axes axis base becomes centre centre of gravity circle coefficients computed considered constant coordinates correct corresponding curve denote determinant difference differential direction distance disturbing equal equation example expansion expressed figure force formula function given gives Hence inequality infinite integral interpolated known limits mass mean method moon's motion multiplied Note observation obtained origin parallel passing period plane polynomial position possible probable error problem Prof quantity Quotient radius ratio referred relation represent respectively result roots shown sides solution Solution of problem space Spar square Substituting suppose taken theory triangle true unit viii whole write zero

### Popular passages

Page 61 - ... sin c cos A cos a ; adding sin2a and transposing, 1 — cos a cos b cos c...

Page 172 - 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.

Page 174 - 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.

Page 53 - ... 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.

Page 32 - 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...

Page 167 - 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.

Page 66 - ... 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...

Page 49 - 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...

Page 9 - The force is proportional to the square of the velocity and inversely proportional to the radius of turn during radial acceleration.

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