The Elements of Mechanics, Comprehending Statics and Dynamics: With a Copious Collection of Mechanical Problems. Intended for the Use of Mathematical Students in Schools and Universities ...John Souter, 1832 - 326 σελίδες |
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a₁ angle axis beam Calc calling catenary centre of gravity centre of moments circumference components concurring forces consequently consider coordinates cord cosine curve cylinder determine the centre diagonal differential direction distance dy dx equa equal forces equations of equilibrium equi equilibrating forces expression feet fixed point forces acting funicular given weight hence horizontal line inclined plane intensity length lever machine mechanical advantage motion move obviously opposite P₁ P₂ P₂ cos parabola parallel forces parallelopiped pendulum perpendicular point of application polygon position pressure PROBLEM projection pulley radius represent resistance respect rest resultant rhombus SCHOLIUM sides ẞ₂ string substitute suppose surface tangent tendency tension theorem theory three forces three rectangular triangle velocity vertical direction vertical plane wheel Y₁
Δημοφιλή αποσπάσματα
Σελίδα 237 - The moment of inertia of a plane area with respect to an axis perpendicular to the plane of the...
Σελίδα 219 - The law is, that all bodies tend to approach one another with an intensity which is directly as the masses, and inversely as the squares of the distances. It is absolutely indifferent to the astronomer how this result...
Σελίδα 324 - An Elementary Treatise on Algebra, Theoretical and Practical; with attempts to simplify some of the more difficult parts of the Science, particularly the Demonstration of the Binomial Theorem in its most general form ; the Summation of Infinite Series ; the Solution of Equations of the Higher Order, &c., for the use of Students.
Σελίδα 324 - ELEMENTS OF THE DIFFERENTIAL CALCULUS ; comprehending the General Theory of Curve Surfaces, and of Curves of Double Curvature. Revised and corrected by MICHAEL O'SHANNESSY, AM 1 vol.
Σελίδα 203 - COR. The time t being independent of the abscissa h, will be the same, from whatever point in the curve the body begins to descend ; in this respect differing from the motion in circular arcs. On account of this remarkable property the cycloid is called tautochronal. 359. SCHOL. The property of tautochronism which attaches to the cycloid was supposed to give peculiar advantages to a pendulum made to oscillate in this curve. The...
Σελίδα 324 - ELEMENTS OF THE INTEGRAL CALCULUS; with its Applications to Geometry, and to the Summation of Infinite Series, &c. Revised and corrected by MICHAEL O'SHANNESSY, AM 1 vol.
Σελίδα 61 - ... plane is equal to the sum of the moments of the components...
Σελίδα 324 - If works like the present be introduced generally into our schools and colleges, the continent will not long boast of its immense superiority over the country of Newton, in every branch of modern analytical science.
Σελίδα 207 - Angular velocity (radians, or degrees, per second) varies inversely as the square of the distance of the body from the centre of force.
Σελίδα 69 - AY is so that the distance of the centre of gravity from the centre of the circle is a fourth, proportional to the arc, the radius, and the chord of the arc.