• 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
Glossary
Glossary

Chapter 13: Trigonometric Functions
Chapter 13: Trigonometric Functions

Downloadable PDF - Rose
Downloadable PDF - Rose

Preparation  from  Question  Banks  and ... School  level  Quiz  Competition
Preparation from Question Banks and ... School level Quiz Competition

Unit 3.1 Congruent Triangles
Unit 3.1 Congruent Triangles

Ways to Prove that Quadrilaterals are Parallelograms
Ways to Prove that Quadrilaterals are Parallelograms

Chapter 5: The Trigonometric Functions
Chapter 5: The Trigonometric Functions

Concept # 1: 30-60-90 Right angled triangle: 1. First, see that after
Concept # 1: 30-60-90 Right angled triangle: 1. First, see that after

Name - Destination Learning Management
Name - Destination Learning Management

ISG Chapter 4 - saddlespace.org
ISG Chapter 4 - saddlespace.org

Mathematics 2 - Phillips Exeter Academy
Mathematics 2 - Phillips Exeter Academy

www.njctl.org New Jersey Center for Teaching and Learning
www.njctl.org New Jersey Center for Teaching and Learning

Chapter 13: Trigonometric Functions
Chapter 13: Trigonometric Functions

... Solve 䉭XYZ. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. Error in ...
Geometry Module 1
Geometry Module 1

Geometry Labs - Henri Picciotto
Geometry Labs - Henri Picciotto

Trigonometric Functions - Shakopee Public Schools
Trigonometric Functions - Shakopee Public Schools

Self-study Textbook_Algebra_ch15
Self-study Textbook_Algebra_ch15

( ) Chapter 5
( ) Chapter 5

Chapter 5 Trigonometric Functions
Chapter 5 Trigonometric Functions

5 Congruent Triangles
5 Congruent Triangles

Chapter 5 Congruence Based on Triangles
Chapter 5 Congruence Based on Triangles

Unit 4 Notes Packet 2 PA 2014-15
Unit 4 Notes Packet 2 PA 2014-15

Glossary - Madeira City Schools
Glossary - Madeira City Schools

Chapter 10: Polygons and Area
Chapter 10: Polygons and Area

5 blog notes for congruent triangle proofs
5 blog notes for congruent triangle proofs

< 1 2 3 4 5 6 7 8 9 ... 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