• 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
Unit 8
Unit 8

Here - UFL MAE
Here - UFL MAE

PCM 1
PCM 1

... Example 8 The number x = 0.215151515 . . . is rational, because it has a periodic decimal expansion. We can write this rational number as a ratio of two integers as follows. Multiply the number by 10 which moves the decimal point one step to the right. ...
Year 8 - Testbourne Community School
Year 8 - Testbourne Community School

Chapter 6 - James Bac Dang
Chapter 6 - James Bac Dang

Special Quadrilateral Project
Special Quadrilateral Project

Chapter 2 Angles
Chapter 2 Angles

Slides on Elements, Book I
Slides on Elements, Book I

POWERPOINT JEOPARDY
POWERPOINT JEOPARDY

D - JMap
D - JMap

Chapter 9 Parallel Lines
Chapter 9 Parallel Lines

CCSS.Math.Content.HSG-CO.A.2 Represent transformations in the
CCSS.Math.Content.HSG-CO.A.2 Represent transformations in the

GEOMETRY CHAPTER 4 Congruent Triangles
GEOMETRY CHAPTER 4 Congruent Triangles

Chapter 1-5 vocabulary and theorems
Chapter 1-5 vocabulary and theorems

Discovering and Proving Polygon Properties
Discovering and Proving Polygon Properties

Lesson 23: Base Angles of Isosceles Triangles
Lesson 23: Base Angles of Isosceles Triangles

Unit 3. Circles and spheres
Unit 3. Circles and spheres

Geometry Module 1, Topic D, Lesson 23: Teacher
Geometry Module 1, Topic D, Lesson 23: Teacher

Lesson 3: Copy and Bisect an Angle
Lesson 3: Copy and Bisect an Angle

Do Now
Do Now

$doc.title

Chapter 7 - Decimals
Chapter 7 - Decimals

Lesson 20: Applications of Congruence in Terms of
Lesson 20: Applications of Congruence in Terms of

TO CONSTRUCT AN ANGLE CONGRUENT TO A GIVEN ANGLE
TO CONSTRUCT AN ANGLE CONGRUENT TO A GIVEN ANGLE

Postulates: 1) Reflexive Property of Equality/ Congruence
Postulates: 1) Reflexive Property of Equality/ Congruence

< 1 ... 27 28 29 30 31 32 33 34 35 ... 604 >

Line (geometry)



The notion of line or straight line was introduced by ancient mathematicians to represent straight objects (i.e., having no curvature) with negligible width and depth. Lines are an idealization of such objects. Until the seventeenth century, lines were defined in this manner: ""The [straight or curved] line is the first species of quantity, which has only one dimension, namely length, without any width nor depth, and is nothing else than the flow or run of the point which […] will leave from its imaginary moving some vestige in length, exempt of any width. […] The straight line is that which is equally extended between its points""Euclid described a line as ""breadthless length"" which ""lies equally with respect to the points on itself""; he introduced several postulates as basic unprovable properties from which he constructed the geometry, which is now called Euclidean geometry to avoid confusion with other geometries which have been introduced since the end of nineteenth century (such as non-Euclidean, projective and affine geometry).In modern mathematics, given the multitude of geometries, the concept of a line is closely tied to the way the geometry is described. For instance, in analytic geometry, a line in the plane is often defined as the set of points whose coordinates satisfy a given linear equation, but in a more abstract setting, such as incidence geometry, a line may be an independent object, distinct from the set of points which lie on it.When a geometry is described by a set of axioms, the notion of a line is usually left undefined (a so-called primitive object). The properties of lines are then determined by the axioms which refer to them. One advantage to this approach is the flexibility it gives to users of the geometry. Thus in differential geometry a line may be interpreted as a geodesic (shortest path between points), while in some projective geometries a line is a 2-dimensional vector space (all linear combinations of two independent vectors). This flexibility also extends beyond mathematics and, for example, permits physicists to think of the path of a light ray as being a line.A line segment is a part of a line that is bounded by two distinct end points and contains every point on the line between its end points. Depending on how the line segment is defined, either of the two end points may or may not be part of the line segment. Two or more line segments may have some of the same relationships as lines, such as being parallel, intersecting, or skew, but unlike lines they may be none of these, if they are coplanar and either do not intersect or are collinear.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report