The perpendicular axis theorem (or plane figure theorem) states that for a planar lamina the moment of inertia about an axis perpendicular to the plane...

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...

{b}{2}}hx^{2}\,dx={\frac {b^{3}h}{12}}\end{aligned}}} Using the perpendicular axis theorem we get the value of J z {\displaystyle J_{z}} . J z = I x + I...

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...

congruence theorem for triangles OPA' and OPB' to conclude that angles POA and POB are equal. See also Radical axis. To make the perpendicular to the line...

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

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

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...

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...

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

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

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

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

by taking advantage of Thales's theorem. Given a line m and a point A in the plane, we wish to construct a perpendicular to line m through A: If line m...

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

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

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

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...

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...

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...

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...

_{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...

_{1}(P)=\Pi _{2}(P)} is a line called radical axis. It contains possible common points of the circles and is perpendicular to line O 1 O 2 ¯ {\displaystyle {\overline...

perpendicular (orthogonal) to the axis, is a circle. Simple examples occur when the generatrix is a line. If the generatrix line intersects the axis line...

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

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

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

Clairaut's theorem characterizes the surface gravity on a viscous rotating ellipsoid in hydrostatic equilibrium under the action of its gravitational...