https://tutors.com › lesson › undefined-terms-in-geometry
Undefined Terms: Point, Line, and Plane (Video & Examples) - Tutors.comNow that you have navigated your way through this lesson, you are able to identify and describe three undefined terms (point, line, and plane) that form the foundation of Euclidean geometry. You can also identify and describe the undefined term, set, used in geometry and set theory.
Vidéos
https://math.stackexchange.com › ... › the-undefined-terms-in-geometry-i-e-points-lines-planes
The Undefined Terms in Geometry (i.e. points, lines & planes)Line: A line has only 1 dimension (that of length, but no others) and spans infinitely in both directions. Plane: A plane has 2 dimensions (length and width, but no height) in which it extends indefinitely in all directions.
https://www.cliffsnotes.com › ... › geometry › fundamental-ideas › points-lines-and-planes
Points, Lines, and Planes - CliffsNotesPoint, line, and plane, together with set, are the undefined terms that provide the starting place for geometry. When we define words, we ordinarily use simpler words, and these simpler words are in turn defined using yet simpler words.
https://www.shmoop.com › study-guides › points-lines-angles-planes › undefined-notions.html
Points, Lines, Angles, and Planes The Undefined Notions - ShmoopWe'll make these basic units of geometry—the point, the line, and the plane—and call them undefined notions. Since there was nothing that existed before them, we can't use anything to define them—but that doesn't mean we can't explain them.
https://www.storyofmathematics.com › undefined-terms-in-geometry
Undefined Terms in Geometry - Laying the Foundation of Geometric PrinciplesPoints, lines, and planes are primary examples of undefined terms. Here’s a brief explanation of each: Point: Represents a location in space with no dimensions—no length, width, or height. In a coordinate system, a point is identified by an ordered pair, (x, y). Line: Extends infinitely in both directions but has no thickness.
https://mathbitsnotebook.com › Geometry › BasicTerms › BTundefined.html
Undefined Terms - MathBitsNotebook (Geo)In geometry, formal definitions are formed using other defined words or terms. There are, however, three words in geometry that are not formally defined. These words are point, line and plane, and are referred to as the " three undefined terms of geometry ".
https://www.mometrix.com › academy › lines-and-planes
What are Lines and Planes? (Video & Practice Questions)It can get pretty confusing if the foundational terms are not understood. In this video, we’re going to start with the most basic figures: a point, a line, and a plane. These “undefined” terms are described, rather than being defined, and they support the definitions of all other geometric terms.
https://openstax.org › books › contemporary-mathematics › pages › 10-1-points-lines-and-planes
10.1 Points, Lines, and Planes - Contemporary Mathematics - OpenStaxThree points including at least one noncollinear point determine a plane. A line and a point not on the line determine a plane. The intersection of two distinct planes is a straight line.
https://calcworkshop.com › basic-geometry › points-lines-planes
Points Lines and Planes (Intro to Geometry w/ 19+ Examples!) - CalcworkshopGain a firm understanding of the basic building blocks in geometry, Points, Lines, and Planes. Walk through 19 step-by-step examples for mastery!
https://www.andrews.edu › ~calkins › math › webtexts › geom01.htm
Undefined: Points, Lines, and Planes - Andrews UniversityThe words points, lines, and planes are left undefined, or rather defined by usage in most geometries. We thus avoid circularity : where definitions circle back to one previously defined. This tradition was only started about 100 years ago by David Hilbert.
