• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
review sheet - Gina`s Math Classes
review sheet - Gina`s Math Classes

Angle of Rotation
Angle of Rotation

Trigonometry Review
Trigonometry Review

Constructing Parallelograms by defintion (Monday)
Constructing Parallelograms by defintion (Monday)

... There are five ways to construct a quadrilateral that is a parallelogram. The following are methods using a compass and straightedge to construct a parallelogram using one of these five methods, based on having an original angle to start from. ...
Math information – notes from class OPERATIONS: ADD
Math information – notes from class OPERATIONS: ADD

Overview - Connecticut Core Standards
Overview - Connecticut Core Standards

Lesson 11: Unknown Angle Proofs—Proofs of Known
Lesson 11: Unknown Angle Proofs—Proofs of Known

Maths SoW - Thinking Skills @ Townley
Maths SoW - Thinking Skills @ Townley

jeopardy_template_2
jeopardy_template_2

NAME HOMEROOM DATE
NAME HOMEROOM DATE

Math information – notes from class OPERATIONS: ADD
Math information – notes from class OPERATIONS: ADD

lesson plan 10-20
lesson plan 10-20

3379 Homework 3
3379 Homework 3

geo_unit_3_1
geo_unit_3_1

Geo 1.3 Measuring and Constructing Angles PP
Geo 1.3 Measuring and Constructing Angles PP

Worksheet - Measuring and classifing angles
Worksheet - Measuring and classifing angles

1-4
1-4

... Degree: * How we measure an angle. * Label answers with ˚ symbol. ...
Chapter 1: Essentials of Geometry Points, Lines - Hatboro
Chapter 1: Essentials of Geometry Points, Lines - Hatboro

Guess My Parallelogram
Guess My Parallelogram

Wojcik, K
Wojcik, K

... Euclid’s Postulates (cont.) ...
Rubric for Action Figure
Rubric for Action Figure

Geom_Unit2_Plan - Connecticut Core Standards
Geom_Unit2_Plan - Connecticut Core Standards

G7-3 Measuring and Drawing Angles and Triangles
G7-3 Measuring and Drawing Angles and Triangles

9/15-9/19
9/15-9/19

g_5-5_inequalities
g_5-5_inequalities

< 1 ... 281 282 283 284 285 286 287 288 289 ... 552 >

Euler angles



The Euler angles are three angles introduced by Leonhard Euler to describe the orientation of a rigid body. To describe such an orientation in 3-dimensional Euclidean space three parameters are required. They can be given in several ways, Euler angles being one of them; see charts on SO(3) for others. Euler angles are also used to describe the orientation of a frame of reference (typically, a coordinate system or basis) relative to another. They are typically denoted as α, β, γ, or φ, θ, ψ.Euler angles represent a sequence of three elemental rotations, i.e. rotations about the axes of a coordinate system. For instance, a first rotation about z by an angle α, a second rotation about x by an angle β, and a last rotation again about z, by an angle γ. These rotations start from a known standard orientation. In physics, this standard initial orientation is typically represented by a motionless (fixed, global, or world) coordinate system; in linear algebra, by a standard basis.Any orientation can be achieved by composing three elemental rotations. The elemental rotations can either occur about the axes of the fixed coordinate system (extrinsic rotations) or about the axes of a rotating coordinate system, which is initially aligned with the fixed one, and modifies its orientation after each elemental rotation (intrinsic rotations). The rotating coordinate system may be imagined to be rigidly attached to a rigid body. In this case, it is sometimes called a local coordinate system. Without considering the possibility of using two different conventions for the definition of the rotation axes (intrinsic or extrinsic), there exist twelve possible sequences of rotation axes, divided in two groups: Proper Euler angles (z-x-z, x-y-x, y-z-y, z-y-z, x-z-x, y-x-y) Tait–Bryan angles (x-y-z, y-z-x, z-x-y, x-z-y, z-y-x, y-x-z). Tait–Bryan angles are also called Cardan angles; nautical angles; heading, elevation, and bank; or yaw, pitch, and roll. Sometimes, both kinds of sequences are called ""Euler angles"". In that case, the sequences of the first group are called proper or classic Euler angles.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report