The perpendicular axis theorem (or plane figure theorem) states that, "The moment of inertia (Iz) of a laminar body about an axis (z) perpendicular to...

the perpendicular distance between the axes z and z′. The parallel axis theorem can be applied with the stretch rule and perpendicular axis theorem to...

List of moments of inertia Moment of inertia Parallel axis theorem Perpendicular axis theorem Radius of gyration Beer, Ferdinand P. (2013). Vector Mechanics...

separated by planes, but the separating axis is perpendicular to the separating plane. The separating axis theorem can be applied for fast collision detection...

axes of an ellipse or hyperbola. The principal axis theorem states that the principal axes are perpendicular, and gives a constructive procedure for finding...

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

P to construct the desired perpendicular PQ. To prove that the PQ is perpendicular to AB, use the SSS congruence theorem for QPA' and QPB' to conclude...

parallel to the axis unchanged in radius. This rule can be applied with the parallel axis theorem and the perpendicular axis theorem to find moments of...

The tennis racket theorem or intermediate axis theorem, is a kinetic phenomenon of classical mechanics which describes the movement of a rigid body with...

constituent of the second moment of area, linked through the perpendicular axis theorem. Where the planar second moment of area describes an object's...

to: Perpendicular axis theorem Perpendicular Gothic architecture style of mediaeval Gothic architecture in the Kingdom of England Perpendicular plate...

parabola with its axis parallel to the y-axis. Conversely, every such parabola is the graph of a quadratic function. The line perpendicular to the directrix...

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...

axis theorem, Steiner's porism, or the Steiner–Lehmus theorem. If only one circle is to be given and no other special information, Steiner's theorem implies...

Pentagonal number theorem (number theory) Perfect graph theorem (graph theory) Perlis theorem (graph theory) Perpendicular axis theorem (physics) Perron–Frobenius...

rigid motion can be accomplished in this way due to a theorem by Euler on the existence of an axis of rotation. The displacement D of the center of mass...

line, known as an axis of rotation. A plane figure can rotate in either a clockwise or counterclockwise sense around a perpendicular axis intersecting anywhere...

The hairy ball theorem of algebraic topology (sometimes called the hedgehog theorem in Europe) states that there is no nonvanishing continuous tangent...

moment of inertia is simply the mass times the square of the perpendicular distance to the axis of rotation. The moment of inertia of a rigid composite system...

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...

shell theorem gives gravitational simplifications that can be applied to objects inside or outside a spherically symmetrical body. This theorem has particular...

the point from two fixed perpendicular oriented lines, called coordinate lines, coordinate axes or just axes (plural of axis) of the system. The point...

Pappus's centroid theorem (also known as the Guldinus theorem, Pappus–Guldinus theorem or Pappus's theorem) is either of two related theorems dealing with...

Proposition 12: he applies the Pythagorean theorem to both right triangles formed by dropping the perpendicular onto one of the sides enclosing the angle...

_{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 moment...

around the third axis, and there are thus infinitely many ways of choosing the two perpendicular axes of the same length. If the third axis is shorter, the...

instantaneous axis of rotation changing its orientation and cannot describe such phenomena as wobbling or precession. According to Euler's rotation theorem, simultaneous...

measuring wheel moves perpendicular to its axis, it rolls, and this movement is recorded. When the measuring wheel moves parallel to its axis, the wheel skids...

the foci is called the major axis, and the line perpendicular to it through the center is the minor axis. The major axis intersects the ellipse at two...

The perpendicular bisector of a chord passes through the centre of a circle; equivalent statements stemming from the uniqueness of the perpendicular bisector...