compass and straightedge constructions wikipedia - EAS
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See all on Wikipediahttps://en.wikipedia.org/wiki/Straightedge_and...In geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the construction of lengths, angles, and other geometric figures using only an idealized ruler and a pair of compasses. The idealized ruler, … See more
The ancient Greek mathematicians first attempted straightedge-and-compass constructions, and they discovered how to construct See more
The most-used straightedge-and-compass constructions include:
• Constructing the perpendicular bisector from a segment
• Finding the midpoint of a segment. See moreThe ancient Greeks thought that the construction problems they could not solve were simply obstinate, not unsolvable. With modern methods, however, these straightedge-and-compass constructions have been shown to be logically impossible to … See more
All straightedge-and-compass constructions consist of repeated application of five basic constructions using the points, … See more
One can associate an algebra to our geometry using a Cartesian coordinate system made of two lines, and represent points of our plane by vectors. Finally we can write these vectors as complex numbers.
Using the equations … See moreSome regular polygons (e.g. a pentagon) are easy to construct with straightedge and compass; others are not. This led to the question: Is it … See more
Wikipedia text under CC-BY-SA license- https://en.wikipedia.org/wiki/Constructible_polygon
Compass and straightedge constructions are known for all known constructible polygons. If n = pq with p = 2 or p and q coprime, an n-gon can be constructed from a p-gon and a q-gon.
• If p = 2, draw a q-gon and bisect one of its central angles. From this, a 2q-gon can be constructed.
• If p > 2, inscribe a p-gon and a q-gon in the same circle in such a way that they share a vertex. Because p and q are coprime, there exists integers a and b such that ap + bq = 1. Then …Compass and straightedge constructions are known for all known constructible polygons. If n = pq with p = 2 or p and q coprime, an n-gon can be constructed from a p-gon and a q-gon.
• If p = 2, draw a q-gon and bisect one of its central angles. From this, a 2q-gon can be constructed.
• If p > 2, inscribe a p-gon and a q-gon in the same circle in such a way that they share a vertex. Because p and q are coprime, there exists integers a and b such that ap + bq = 1. Then 2aπ/q …Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 3 mins
- https://simple.wikipedia.org/wiki/Straightedge_and_compass_construction
WebStraightedge and compass construction, also known as ruler-and-compass construction, is drawing of lengths, angles or shapes using only a ruler and compass. …
- https://www.wikiwand.com/en/Straightedge_and_compass_construction
WebIn geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the construction …
- https://everipedia.org/wiki/lang_en/Compass-and-straightedge_construction
WebStraightedge and compass construction, also known as ruler-and-compass constructionor classical construction, is the construction of lengths, angles, and other …
Wikizero - Straightedge and compass construction
https://wikizero.com/www///Compass_and_straightedgeWebStraightedge and compass construction ... Not to be confused with Constructive solid geometry. Creating a regular hexagon with a straightedge and compass. Geometry; …
- https://www.wikiwand.com/en/Classical_construction
WebIn geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the construction …
The Use Of Straightedge And Compass Constructions
https://www.ferkeybuilders.com/the-use-of...WebJan 23, 2023 · The straightedge is a ruler used for drawing straight lines. It is also called a T-square. The disadvantages of using a compass and straightedge are that they are slow …
Straightedge and compass construction - Wikipedia
https://wiki.alquds.edu/?query=Straightedge_and_compass_constructionWebJun 10, 2022 · Straightedge and compass constructions Angle Curve Diagonal Orthogonality(Perpendicular) Parallel Vertex Congruence Similarity Symmetry Zero …
- https://commons.wikimedia.org/wiki/Category:...
WebStraight Square Inscribed in a Circle 240px.gif 240 × 240; 318 KB Straight Square Inscribed in a Circle.gif 480 × 480; 383 KB Straightedge and compass construction of a …
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