Two-dimensional space

In physics and mathematics, two-dimensional space or bi-dimensional space is a geometric model of the planar projection of the physical universe. The two dimensions are commonly called length and width. Both directions lie in the same plane.

A sequence of n real numbers can be understood as a location in n-dimensional space. When n = 2, the set of all such locations is called two-dimensional space or bi-dimensional space, and usually is thought of as a Euclidean space.

History

Books I through IV and VI of Euclid's Elements dealt with two-dimensional geometry, developing such notions as similarity of shapes, the Pythagorean theorem (Proposition 47), equality of angles and areas, parallelism, the sum of the angles in a triangle, and the three cases in which triangles are "equal" (have the same area), among many other topics.

Later, the plane was described in a so-called Cartesian coordinate system, a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin, usually at ordered pair (0,0). The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin.

Podcasts:

developed with YouTube
PLAYLIST TIME:

Latest News for: two-dimensional

The foundation of Angel Reese's sophomore season will be laid with Unrivaled

Chicago Sun-Times 18 Jan 2025
The Sky's fall from title contenders to the league's bottom tier over the last two years would have included an erasure of relevance as well, if not for Reese and fellow 2024 rookie Kamilla Cardoso.

Ravens, Bills lost plenty of talent last offseason, but stayed in Super Bowl contention

The Record 18 Jan 2025
“Just that two-dimensional type of weaponry, if you will, is tough on people.” ... The Bills lost their top two receiving threats when Diggs was traded and Davis left via free agency.

Ravens and Bills lost plenty of talent last offseason, but stayed in Super Bowl contention

Wtop 18 Jan 2025
“Just that two-dimensional type of weaponry, if you will, is tough on people.” ... The Bills lost their top two receiving threats when Diggs was traded and Davis left via free agency.

Cowboys urged to sign Steelers $13 million former Pro Bowler

Sportingnews 17 Jan 2025
Though Harris is inconsistent and can be inefficient at times, the former first-round pick would bring some much-needed physicality to a Cowboys offense that has been one-dimensional over the last two seasons ... MORE PITTSBURGH STEELERS NEWS ... .

Jason Tindall, king of touchline chaos, has Newcastle barking up right tree

Yahoo Daily News 17 Jan 2025
If the Mile End-born Tindall enjoys playing up to the loud, brash caricature of an East End wide boy, that image is inaccurately one-dimensional ... It was just the two of us.”.

Calligraphy takes on new meaning in Chicago's South Asia Institute exhibit

Chicago Sun-Times 17 Jan 2025
While nearly all of the exhibition’s works are two-dimensional, there are a few that break into three dimensions, none more imaginatively than an untitled 12-inch-tall mixed-media work from 2014 by Pakistani artist Ghulam Mohammad.

The best Nintendo Switch games for 2025

Popular Science 17 Jan 2025
The kidnapped princess has her own side story that makes the character—pardon the pun—less two-dimensional than the typical damsel in distress ... There are two astounding features that set this collection apart from most retro compilations.

Art analysis: 2D multifractal tools examine Jackson Pollock's expressionism

Phys Dot Org 16 Jan 2025
Now, these tools have been developed and successfully applied to two-dimensional ...

Schrödinger’s Cats Employed To Find Computing Errors Dead And Alive

IFL Science 16 Jan 2025
Two papers announcing similar results with higher dimensional qubit states based on different materials were submitted for review while the team were working on their paper.

US creates strongest-ever armor material with 100 trillion bonds per cm²

Interesting Engineering 16 Jan 2025
A research team led by scientists at Northwestern University has developed the first-ever two-dimensional mechanically interlocked material with high flexibility and strength.

What's Up? MLK programs at college, bingo, faculty exhibit

Times-Gazette - Ashland 16 Jan 2025
25. Flea Market/Craft Fair, 9 a.m.-3 p.m ... AU Department of Art + Design hosts annual exhibition that spotlights the two-dimensional and three-dimensional works of the current faculty as professional artists in their respective areas of specialty ... 23 ... 25.

David Lynch dead at 78. His career spanned film, NYC art galleries, mental health advocacy

Lohud 16 Jan 2025
“I have now quit smoking for over two years ... Lynch was an all-around artist, also known for speaking his mysterious language in two-dimensional mediums such as paintings, and branching out into other surrealist scapes via sculpture and the like ... "...

Bills brace for playoff test of stopping Ravens’ Derrick Henry after getting trampled in Week 4

The Oneida Daily Dispatch 16 Jan 2025
By JOHN WAWROW. ORCHARD PARK, N.Y ... “He’s absolutely massive,” Allen said ... “Run game, pass game, third down, screen game, red zone ... “They’re a one-two combination ... “That two-dimensional type of weaponry, if you will, is tough on people.” ... ___. AP NFL.

Bills brace for playoff test of stopping Ravens' Derrick Henry after getting trampled in Week 4

Newsday 16 Jan 2025
ORCHARD PARK, N.Y ... “He’s absolutely massive,” Allen said ... “Run game, pass game, third down, screen game, red zone ... 29, 2024, in Orchard Park, N.Y ... “They’re a one-two combination ... “That two-dimensional type of weaponry, if you will, is tough on people.”.

Most Viewed

×