Add to ORKGIt is well-known to be impossible to trisect an arbitrary angle and duplicate an arbitrary cube by a ruler and a compass. On the other hand, it is known from the ancient times that these constructions can be performed when it is allowed to use several conic curves. In this paper, we prove that any point constructible from conics can be constructed using a ruler and a compass, together with a single fixed non-degenerate conic different from a circle. 10.1017/S000497271300007
What can be done with straight-edge and compass? We will now address math in the way that the Greeks...
The whole of plane geometry is based on two figures,the straight line and the circle. Both these fig...
[[abstract]]Mascheroni dedicated one of his books Geometria del compasso (1797) to Napoleon in verse...
It is well-known to be impossible to trisect an arbitrary angle and duplicate an arbitrary cube by a...
It is well-known to be impossible to trisect an arbitrary angle and duplicate an arbitrary cube by a...
It is well-known to be impossible to trisect an arbitrary angle and duplicate an arbitrary cube by a...
It is well-known to be impossible to trisect an arbitrary angle and duplicate an arbitrary cube by a...
The ancient Greeks were the first to explore ruler and compass constructions, and Euclid was the fir...
The purpose of this project is to demonstrate first why trisection for an arbitrary angle is impossi...
It is well known that there is no general procedure for trisecting an angle using only a compass an...
Abstract. W. Wernick has tabulated 139 triangle construction problems using a list of sixteen points...
Abstract:- Compass-and-straightedge constructions have a long tradition and still are of very genuin...
Abstract. By associating a subfield of R to a set of points P0 ⊆ R2, geo-metric properties of ruler ...
This work is about the three classical problems of Greek Geometry: the doubling of the cube, the tri...
Ancient Greeks were fascinated with what could be constructed only using a compass and a straightedg...
What can be done with straight-edge and compass? We will now address math in the way that the Greeks...
The whole of plane geometry is based on two figures,the straight line and the circle. Both these fig...
[[abstract]]Mascheroni dedicated one of his books Geometria del compasso (1797) to Napoleon in verse...
It is well-known to be impossible to trisect an arbitrary angle and duplicate an arbitrary cube by a...
It is well-known to be impossible to trisect an arbitrary angle and duplicate an arbitrary cube by a...
It is well-known to be impossible to trisect an arbitrary angle and duplicate an arbitrary cube by a...
It is well-known to be impossible to trisect an arbitrary angle and duplicate an arbitrary cube by a...
The ancient Greeks were the first to explore ruler and compass constructions, and Euclid was the fir...
The purpose of this project is to demonstrate first why trisection for an arbitrary angle is impossi...
It is well known that there is no general procedure for trisecting an angle using only a compass an...
Abstract. W. Wernick has tabulated 139 triangle construction problems using a list of sixteen points...
Abstract:- Compass-and-straightedge constructions have a long tradition and still are of very genuin...
Abstract. By associating a subfield of R to a set of points P0 ⊆ R2, geo-metric properties of ruler ...
This work is about the three classical problems of Greek Geometry: the doubling of the cube, the tri...
Ancient Greeks were fascinated with what could be constructed only using a compass and a straightedg...
What can be done with straight-edge and compass? We will now address math in the way that the Greeks...
The whole of plane geometry is based on two figures,the straight line and the circle. Both these fig...
[[abstract]]Mascheroni dedicated one of his books Geometria del compasso (1797) to Napoleon in verse...