The compass is used to measure angles. The straightedge is used to draw a straight line. The two items together, are used to measure and draw angles and lines in geometric drawings.
I think computer is better.
Some are possible, others are not.
A compass and straightedge construction is a method used in geometry to create figures using only a compass and a straightedge, without the use of measurement tools. The compass is used for drawing circles and arcs, while the straightedge is utilized for drawing straight lines. This technique is foundational in classical geometry, allowing for the construction of various geometric shapes and figures, such as triangles, squares, and angles, based solely on specific geometric principles. Notably, some classical problems, like squaring the circle or doubling the cube, have been proven impossible using only these tools.
The ancient Greeks utilized a straightedge and compass to construct various geometric figures, including triangles, circles, and polygons. These tools allowed for precise constructions based on fundamental geometric principles, such as the ability to create bisectors, perpendiculars, and inscribed shapes. Notable constructions included the division of a line segment into equal parts and the construction of regular polygons, like the pentagon. However, certain problems, such as squaring the circle, were proven impossible with these tools alone.
The Greeks, using only a compass and straightedge, could construct regular polygons and circles due to their ability to create precise geometric figures based on certain mathematical principles. However, some constructions, like trisecting an arbitrary angle or duplicating a cube, were proven impossible within these constraints, as they required the solution of cubic equations or other geometric constructs unattainable with just those tools. This limitation revealed the boundaries of classical geometric constructions and led to deeper explorations in mathematics. Ultimately, these challenges contributed to the development of modern algebra and geometry.
I think computer is better.
Some are possible, others are not.
A construction. A construction is a geometric drawing of a figure usually made by a compass and/or a straightedge
Geometric figures can be drawn using a compass and a straight edge. This is commonly known as ruler and compass construction.
Constructing geometric figures means with the help of a compass, protractor and a scale with accurate measurement. Drawing may just be drawing rough figures with no accurate measurement.
because they need straghit lines not curved
The only thing that can contain all geometric figures is the set of all geometric figures, which is an infinite set.
In mathematics, a compass is primarily used for drawing circles and arcs with a specified radius. It helps in constructing geometric figures, such as triangles and polygons, by accurately creating equal distances. Additionally, it is useful for transferring measurements and creating accurate angles, making it an essential tool in geometric constructions and proofs.
toy figures that have to do with geologic features
Plane figures.
toy figures that have to do with geologic features
Transformations. :-)