Search results

[[Category:Orientation (geometry)]] ...

...is determined by the position of its center of mass and by its [[Attitude (geometry)|attitude]] (at least six parameters in total).<ref name=Sciavicco>{{cite b ...n]] is zero or negligible. The [[distance]] between any two given [[Point (geometry)|point]]s on a rigid body remains constant in time regardless of external [ ...

{{Short description|Mnemonic for understanding orientation of vectors in 3D space}} {{about|three-dimensional vector geometry|the maze-solving technique|Wall follower|the traffic rule|Priority to the r ...

...s?id=f8I4yGVi9ocC link to Google books]</ref><ref>Hunt, K. H., ''Kinematic Geometry of Mechanism,'' Oxford University Press, 1990</ref> ...'0''') = '''0''' (and being a motion of '''R'''³, rot preserves orientation), rot must be a [[rotation]]. ...

...into a subject (e.g., the introduction of [[Pasch's axiom]] of [[Euclidean geometry]],<ref name="Maxwell 1959">{{harvnb|Maxwell|1959}}</ref> the [[five color t ...ion]] are equated. Well-known fallacies also exist in elementary Euclidean geometry and [[calculus]].<ref>{{Cite journal|last=Barbeau|first=Ed|date=1991|title= ...

A '''positioning system''' is a system for determining the [[position (geometry)|position]] of an object in [[space]].<ref>{{cite web| title=positioning sy ...must have a working [[transponder]] on board to echo a radio signal back. Orientation information can be obtained using [[Attitude control (spacecraft)#Star trac ...

...ning effect or moment called a [[torque]] about an axis which is [[normal (geometry)|normal]] (perpendicular) to the plane of the forces. The [[SI unit]] for t ...mass accelerates the body in the direction of the force without change in orientation. The general theorems are:<ref name=DuBois/> ...

...are rectangle, again ensuring that the two nodes on the ends have the same orientation. Instead of a twist, the green struts have two bends which allow them to fi ...polyhedra]] (a major exception being those formed using the [[Alternation (geometry)#Snub|snub]] operation) ...

...rmations by reciprocal radii" in relation to the framework of [[Lie sphere geometry]], which were already known in the 19th century. Time is used as [[Spacetim A special case of Lie sphere geometry is the [[#Transformation by reciprocal directions|transformation by recipro ...

...ing]] a common [[Interval (mathematics)|endpoint]], called the ''[[Vertex (geometry)|vertex]]'' of the angle. |The component of magnetic strength and orientation that can be represented by an equivalent [[magnetic dipole]] ...

...'''S''' = '''n'''dS}} is oriented according to the [[Right-hand rule#Curve orientation and normal vectors|right-hand rule]]. Thus curl and vorticity are the circu ...

To use geometry to study the movement of a mechanism, its links are modelled as [[rigid bod ...echanical system are three-dimensional, they can be analysed using [[plane geometry]] if the movement of the individual components is constrained so that all p ...

When more than two forces are involved, the geometry is no longer parallelogrammatic, but the same principles apply. Forces, be ...its position at AB to a position at DC, remaining parallel to its original orientation throughout. Accounting for both motions, the particle traces the line AC. B ...

...l chain]] model in chemistry, two [[angle]]s are necessary to describe the orientation of each monomer. A [[linear molecular geometry|linear molecule]], where all atoms lie along a single axis, ...

...crystal or metamaterial. It can also arise from the relative position and orientation of different components, such as the propagation direction of a beam of lig ...amaterials. These effects are inherently tuneable by changing the relative orientation of incident wave and material. Both extrinsic 3d chirality and the resultin ...

...particles passing perpendicularly through unit area of a [[Cross section (geometry)|cross-section]] per unit time is the probability flux; ...''' is the [[vector area]] of the surface ''A'', directed as the [[Normal (geometry)|surface normal]]. For the second, '''n''' is the outward pointed [[unit no ...

...ezoresponse is 180° out-of-phase with the driving voltage. In this way the orientation of polarisation within a domain can be observed.]] ...e effect of this deformation to detect domains and also to determine their orientation. ...

...at from the dipole moment information can be deduced about the [[molecular geometry]]. An example in organic chemistry of the role of geometry in determining dipole moment is the [[cis-trans isomerism|''cis'' and ''tra ...

...<math>\R^3</math>. But we already have such a map: the [[Parametrization (geometry)|parametrization]] of <math>\Sigma</math>. This is the [[Pullback (differential geometry)|pullback]] of {{math|'''F'''}} along {{math|'''''ψ'''''}}, and, by the abo ...

...isosceles triangle|leg]] length of <math>v</math>, and the other a [[base (geometry)|base]] of <math>\Delta \textbf{r}</math> (position vector [[Euclidean vect ...m the theory of differential forms.<ref name = Morita>{{cite book |title = Geometry of Differential Forms |author = Shigeyuki Morita |page = [https://archive.o ...