• 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
1. Which two line segments on the cube are skew
1. Which two line segments on the cube are skew

... that is formed from two triangles with bases of 12 inches and heights of 6 inches? A ...
11-2 Reteach Arcs and Chords
11-2 Reteach Arcs and Chords

Document
Document

Patterns and Inductive Reasoning
Patterns and Inductive Reasoning

Interpret the structure of expressions.
Interpret the structure of expressions.

... graph is a straight line through the origin). M07.A-R.1.1.3 Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. M07.A-R.1.1.4 Represent proportional relationships by equations. Example: If total cost t is ...
Chapter 5 - prep4paper
Chapter 5 - prep4paper

Chapter-5 - ePathshala
Chapter-5 - ePathshala

Some More Math - peacock
Some More Math - peacock

SECTION 1.6 Other Types of Equations
SECTION 1.6 Other Types of Equations

Graphing an Inequality
Graphing an Inequality

... beginning of the lesson. How many of each ticket can Mr. Harris purchase? ...
Module 5 Class Notes
Module 5 Class Notes

Math 324 - Corey Foote
Math 324 - Corey Foote

MAFS Geo EOC Review Congruency Similarity and Right Triangles
MAFS Geo EOC Review Congruency Similarity and Right Triangles

maths - Navy Children School Visakhapatnam
maths - Navy Children School Visakhapatnam

Complex Numbers
Complex Numbers

Polyhedrons, Part 2
Polyhedrons, Part 2

Geometry Notes TC – 1: Side - Angle
Geometry Notes TC – 1: Side - Angle

... Proving Two Triangles Congruent If all three pairs of corresponding sides are congruent and all three pairs of corresponding angles are congruent, then two triangles must be congruent. Is it possible to prove two triangles congruent without proving all six pairs of corresponding parts congruent? If ...
Polygons
Polygons

A diagonal - Berkeley City College
A diagonal - Berkeley City College

Unit 1C 2013-14 - Youngstown City Schools
Unit 1C 2013-14 - Youngstown City Schools

Definition: A quadrilateral is a polygon with 4 sides. A diagonal of a
Definition: A quadrilateral is a polygon with 4 sides. A diagonal of a

Transforming Quadrilaterals Philadelphia 2012
Transforming Quadrilaterals Philadelphia 2012

High School Geometry
High School Geometry

Math 1 (with Support)
Math 1 (with Support)

information for teachers
information for teachers

< 1 ... 48 49 50 51 52 53 54 55 56 ... 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