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...

{\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...

_{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...

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...

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...

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

article. 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...

to a theorem by Euler on the existence of an axis of rotation. The displacement D of the center of mass can be decomposed into components parallel and...

Steiner's theorem, used to determine the mass moment of inertia around an axis. Also known as parallel axis theorem Steiner tree Poncelet–Steiner theorem Steiner...

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...

(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...

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...

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

theorem (geometry) Paris–Harrington theorem (mathematical logic) Parovicenko's theorem (topology) Parallel axis theorem (physics) Parseval's theorem (Fourier...

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,...

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...

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

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...

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...

{\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...

the SSS congruence theorem for QPA' and QPB' to conclude that angles OPA' and OPB' are equal. Then use the SAS congruence theorem for triangles OPA' and...

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}}...

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...

Miniver's problem Isoperimetric theorem Annulus Ptolemaios' theorem Steiner chain Eccentricity Ellipse Semi-major axis Hyperbola Parabola Matrix representation...

in the opposite direction, while points on the axis stay fixed. Straight lines parallel to the x-axis remain where they are, while all other lines are...

{\displaystyle A} that is parallel to the minor axis and a line through B {\displaystyle B} that is parallel to the major axis. These lines meet at an ellipse...