Euclidean Geometry

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Euclidean Geometry

The Plane geometry learned in high school, based upon a few ideal, smooth, symmetric shapes.

Euclidean Geometry

A system of geometry that deals with objects on a plane. Its theory is based on five postulates, from which a number of theoretical proofs are derived.

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Fractal Dimension

References in periodicals archive ?

(33) So far we have been using three-mensional perceived space and Euclidean geometry almost interchangeably.

The ontological status of mathematical entities: the necessity for modern physics of an evaluation of mathematical systems

While all students have generally been exposed to Euclidean geometry, most do not know much about non-Euclidean geometries and are very intrigued, if at times baffled, by this different perspective.

The perpendicular bisector: a closer look

Moreover, the process of solution employing different methods and techniques involves the application of rules of the subjects of Euclidean geometry and other fields , their integration and reinforcement both in the sense of their specific required skills, and, in some cases also skills from other mathematical fields such as algebraic skills, as a byproduct.

More on geometrical constructions of a tangent to a circle with a straightedge only

If space is curved then Euclidean geometry, which is one of many axiomatic systems, does not apply.

On geometric properties of spherical conics and generalization of [pi] in navigation and mapping

in Euclidean geometry. We observe that the previous equality is a equivalent form to the Van Aubel's theorem of euclidian geometry.

Van Aubel's theorem in the einstein relativistic velocity model of hyperbolic geometry

Let's consider Hilbert's 21 axioms of Euclidean geometry. If we Smarandachely deny one, two, three, and so on, up to 21 axioms respectively, then one gets:

Paradoxism in geometry: smarandache geometries (sg) and the degree of negation in geometries

Honsberger, Episodes in Nineteenth and Twentieth Century Euclidean Geometry, Washington, DC: Math.

Menelaus's theorem for hyperbolic quadrilaterals in the Einstein relativistic velocity model of hyperbolic geometry

Guys, study your Euclidean geometry: The intersection of a line and a plane has a simple angle of incidence.

Pass/fail: how the FBI determines what ammo goes to the head of the class

Before hyperbolic geometry was discovered, it was thought to be completely obvious that Euclidean geometry correctly described physical space, and attempts were even made, by Kant and others, to show that this was necessarily true.

Beautiful algebra

Although Einstein didn't excel in high school in Munich, he had already begun educating himself on Euclidean geometry, deductive reasoning and calculus using textbooks borrowed from a family friend.

Albert Einstein: a passionate curiosity propelled the greatest genius of the 20th century

Alys's artistic affinity with the Situationist International and neo-dada movements like Fluxus manifests itself in his efforts to conjure an experiential map for the city through arbitrary social encounters, which transcend the confining Euclidean geometry of modern urban planning.

Francis Alys

In mathematics, Euclidean geometry used to be taught in something close to its original presentation two thousand years ago as a rational progression of ideas.