This is impossible in the general case.
Straightedge and compass construction, also known as ruler-and-compass construction or classical construction, is the construction of lengths, angles, and other geometric figures using only an idealized ruler and compass.. Each animation provides detailed, step-by-step description of a straightedge-and-compass geometric construction, studied in … All these programs can be divided into two category: deterministic and continuous.
All constructions in the deterministic programs (GSP, Cabri, Kseg and most of others) are completely determined by the given points but the result of some constructions can jump or behave unexpectedly when a given point is moved. Such constructions are solid constructions, but there exist numbers with solid constructions that cannot be constructed using such a tool.
What if, together with the straightedge and compass, we had a tool that could (only) trisect an arbitrary angle? Like the question with Fermat primes, it is an open question as to whether there are an infinite number of Pierpont primes.
Basics.
Geometry Pad is a dynamic geometry application for Android tablets with universal appeal. Here is a test to check whether a particular program is continuous:
Geometric Constructions v.2.01 The program includes 51 animations. After some construction is done, one can move the points …
Constructions.
Measurement and calculation features related to IGS: (TODO) It is not to be confused with Straightedge and compass constructions as complex arithmeticConstructing a triangle from three given characteristic points or lengthsStraightedge and compass constructions as complex arithmeticConstructing a triangle from three given characteristic points or lengthsGodfried Toussaint, "A new look at Euclid’s second proposition," Azad, H., and Laradji, A., "Some impossible constructions in elementary geometry", Pascal Schreck, Pascal Mathis, Vesna Marinkoviċ, and Predrag Janičiċ.
Teachers can use it in a geometry class for better students engagement and deeper understanding of geometric concepts.
Also, this software allows effectively and ease in sharing of the geometrical diagram and as a result greatly facilitate the learning process. We could associate an algebra to our geometry using a Using the equations for lines and circles, one can show that the points at which they intersect lie in a Since the field of constructible points is closed under The group of constructible angles is closed under the operation that halves angles (which corresponds to taking square roots in the complex numbers).