• 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
Doc
Doc

Yr7-Angles-ExercisesAndCheatsheet
Yr7-Angles-ExercisesAndCheatsheet

Sec 2.6 Geometry – Triangle Proofs
Sec 2.6 Geometry – Triangle Proofs

5 - Wsfcs
5 - Wsfcs

... Hinge Theorem: if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first triangle is larger than the included angle of the second triangle, then the third side of the first triangle is longer than the third side of the second triangle. Converse ...
Key
Key

Geometric Figures
Geometric Figures

Provably good mesh generation
Provably good mesh generation

e-solutions
e-solutions

Quantitative Review Flashcards
Quantitative Review Flashcards

... • The equation x³ + 2x² - 3x = 0 can be solved. Factoring will result on x(x² + 2x – 3) = 0, so 0 is one solution and the factored quadratic will have two roots. The equation has 3 solutions. • If you have a quadratic equation equal to 0 and you can factor an x out of the expression, x=0 is one of t ...
Math_Geom - Keller ISD
Math_Geom - Keller ISD

Example
Example

Dividing a decimal by a whole number
Dividing a decimal by a whole number

Chapter 2: Greatest Common Divisors
Chapter 2: Greatest Common Divisors

Complimentary angles: Angles that add up to 90 degrees
Complimentary angles: Angles that add up to 90 degrees

Frogs, Fleas, and Painted Cubes
Frogs, Fleas, and Painted Cubes

Course Notes for MA 460. Version 5.
Course Notes for MA 460. Version 5.

Review Problems
Review Problems

4.4 Practice A
4.4 Practice A

Quadrilaterals Theorems Ptolemy`s Theorem
Quadrilaterals Theorems Ptolemy`s Theorem

- ecourse.org
- ecourse.org

Geometry by Jurgensen, Brown and Jurgensen
Geometry by Jurgensen, Brown and Jurgensen

BA  ECONOMICS  UNIVERSITY  OF  CALICUT I SEMESTER
BA ECONOMICS UNIVERSITY OF CALICUT I SEMESTER

Ambar Mitra - Actus Potentia
Ambar Mitra - Actus Potentia

solutions to handbook problems
solutions to handbook problems

Class Notes Triangle Congruence
Class Notes Triangle Congruence

... 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 ...
< 1 ... 43 44 45 46 47 48 49 50 51 ... 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