The parallel axis theorem, also known as Huygens–Steiner theorem, or just as Steiner's theorem, named after Christiaan Huygens and Jakob Steiner, can be...

perpendicular axis theorem states that I z = I x + I y {\displaystyle I_{z}=I_{x}+I_{y}} This rule can be applied with the parallel axis theorem and the stretch...

centroidal axis, x {\displaystyle x} , and use the parallel axis theorem to derive the second moment of area with respect to the x ′ {\displaystyle x'} axis. The...

_{A}x^{2}\,dx\,dy.} The parallel axis theorem can be used to determine the second moment of area of a rigid body about any axis, given the body's second...

{\displaystyle L} is the length of the pendulum. Notice that the parallel axis theorem is used to shift the moment of inertia from the center of mass to...

the axis. This operation leaves cylinders oriented parallel to the axis unchanged in radius. This rule can be applied with the parallel axis theorem and...

curve. Not to be confused for Steiner's parallel axis theorem, Steiner's porism, or the Steiner–Lehmus theorem. If only one circle is to be given and no...

remember that it is an additive function and exploit the parallel axis and the perpendicular axis theorems. This article considers mainly symmetric mass distributions...

König's theorem (physics) Lami's theorem (statics) Liouville's theorem (Hamiltonian mechanics) Parallel axis theorem (physics) Perpendicular axis theorem (physics)...

one parallel to the axis of the rotation associated with the isometry and the other component perpendicular to that axis. The Chasles theorem states...

Steiner, Mississippi, U.S. Steiner's theorem, or parallel axis theorem Steiner tree Poncelet–Steiner theorem Steiner surface Steiner system, a type...

the theorem, if both these sets are closed and at least one of them is compact, then there is a hyperplane in between them and even two parallel hyperplanes...

object mass and velocity, the above result may be used with the parallel axis theorem to obtain the kinetic energy associated with simple rolling K rolling...

In mathematics, the projection-slice theorem, central slice theorem or Fourier slice theorem in two dimensions states that the results of the following...

intersection theorem is true in the usual Euclidean plane but special care needs to be taken in exceptional cases, as when a pair of sides are parallel, so that...

The theorem is named after Leonhard Euler, who proved it in 1775 by means of spherical geometry. The axis of rotation is known as an Euler axis, typically...

Kinetic energy per unit mass of projectiles Kinetic projectile Parallel axis theorem Potential energy Recoil Jain, Mahesh C. (2009). Textbook of Engineering...

Newton's laws of motion Classical mechanics Special relativity Parallel axis theorem Britannica, Dictionary. "definition of INERTIA". Retrieved 2022-07-08...

construction. Because of the parallel axis theorem and the fact that most of the material is away from the neutral axis, the second moment of area of...

{\displaystyle \Omega } , the fluid velocity will be uniform along any line parallel to the axis of rotation. Ω {\displaystyle \Omega } must be large compared to...

relative orientation over time. By Euler's theorem, any change in orientation can be described by rotation about an axis through a chosen reference point. Hence...

total moment of inertia of Arm 1 about the pivot point (using the parallel axis theorem) is J 1 ^ = J 1 + m 1 l 1 2 {\displaystyle {\hat {J_{1}}}=J_{1}+m_{1}l_{1}^{2}}...

translation of a body occurs. Chasles' theorem shows that each Euclidean displacement in three-dimensional space has a screw axis, and the displacement can be decomposed...

(with a ≠ 0 {\displaystyle a\neq 0} ) is a parabola with its axis parallel to the y-axis. Conversely, every such parabola is the graph of a quadratic...

as the axis of perspectivity, perspective axis, homology axis, or archaically, perspectrix. The figures are said to be perspective from this axis. The point...

curve is parallel to the y-axis, and that, at this point, g does not define an implicit function from x to y (see implicit function theorem). If (x0,...

example translation parallel to the x-axis by u units, as u varies, is a one-parameter group of motions. Rotation around the z-axis is also a one-parameter...

each axis. In that case, each coordinate is obtained by projecting the point onto one axis along a direction that is parallel to the other axis (or, in...

Brianchon's theorem has exceptions in the affine plane but not in the projective plane. Brianchon's theorem can be proved by the idea of radical axis or reciprocation...

vectors (position and velocity). Parallel axis theorem – also known as Huygens–Steiner theorem, or just as Steiner's theorem, named after Christiaan Huygens...