Search results
Results from the WOW.Com Content Network
In equation form: , where v is tangential speed and ω (Greek letter omega) is rotational speed. One moves faster if the rate of rotation increases (a larger value for ω), and one also moves faster if movement farther from the axis occurs (a larger value for r). Move twice as far from the rotational axis at the centre and you move twice as fast.
Let Xx + Yy + Zz = 0 be the equation of a line, with (X, Y, Z) being designated its line coordinates in a dual projective plane. The condition that the line is tangent to the curve can be expressed in the form F(X, Y, Z) = 0 which is the tangential equation of the curve. At a point (p, q, r) on the curve, the tangent is given by
Using derivatives, the equation of the tangent line can be stated as follows: = + ′ (). Calculus provides rules for computing the derivatives of functions that are given by formulas, such as the power function, trigonometric functions, exponential function, logarithm, and their various combinations. Thus, equations of the tangents to graphs ...
Then the second Plücker equation states = (). The geometric interpretation of an ordinary double point of C * is a line that is tangent to the curve at two points (double tangent) and the geometric interpretation of a cusp of C * is a point of inflection (stationary tangent).
In polar coordinates, the polar tangential angle is defined as the angle between the tangent line to the curve at the given point and ray from the origin to the point. [6] If ψ denotes the polar tangential angle, then ψ = φ − θ, where φ is as above and θ is, as usual, the polar angle.
A rhamphoid cusp (from Greek 'beak-like') denoted originally a cusp such that both branches are on the same side of the tangent, such as for the curve of equation = As such a singularity is in the same differential class as the cusp of equation x 2 − y 5 = 0 , {\displaystyle x^{2}-y^{5}=0,} which is a singularity of type A 4 , the term has ...
The locus of these points (the inflection point within a G-x or G-c curve, Gibbs free energy as a function of composition) is known as the spinodal curve. [ 1 ] [ 2 ] [ 3 ] For compositions within this curve, infinitesimally small fluctuations in composition and density will lead to phase separation via spinodal decomposition .
In mathematics, the tangent space of a manifold is a generalization of tangent lines to curves in two-dimensional space and tangent planes to surfaces in three-dimensional space in higher dimensions. In the context of physics the tangent space to a manifold at a point can be viewed as the space of possible velocities for a particle moving on ...