Archimedes Geo3D

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Archimedes Geo3D is a software package for dynamic geometry in three dimensions. It was released in Germany in March 2006 and won a German government award for outstanding educational software in 2007 .

Contents

A locus surface constructed with Archimedes Geo3D ParaboloidWithShadow.png
A locus surface constructed with Archimedes Geo3D

Advanced features

Archimedes Geo3D can trace the movement of points, lines, segments, and circles and generate locus lines and surfaces. Arbitrary objects can be intersected with lines, locus lines, and planes.

Point (geometry) fundamental object of geometry: locus within which we can distinguish no other locus than itself

In modern mathematics, a point refers usually to an element of some set called a space.

Line (geometry) straight object with negligible width and depth

The notion of line or straight line was introduced by ancient mathematicians to represent straight objects with negligible width and depth. Lines are an idealization of such objects. Until the 17th century, lines were defined as 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."

Line segment part of a line that is bounded by two distinct end points; line with two endpoints

In geometry, 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 endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints.

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