quadrable (Meaning)
quadrable (a.)
That may be sqyared, or reduced to an equivalent square; -- said of a surface when the area limited by a curve can be exactly found, and expressed in a finite number of algebraic terms.
Synonyms & Antonyms of quadrable
No Synonyms and anytonyms found
quadrable Sentence Examples
- The ancient Greek mathematicians sought to determine which geometric shapes are quadrable, meaning they can be squared using only a compass and straightedge.
- The famous Hippocratic Theorem states that the area of a triangle is quadrable if its base and height are both rational.
- The quadrable forms include squares, equilateral triangles, and rectangles.
- The problem of trisecting an arbitrary angle using only a compass and straightedge is equivalent to the problem of squaring the circle, which cannot be solved because it requires the construction of a segment of a certain length that is not quadrable.
- The Greeks knew that the circle is not quadrable, but they were unable to prove it.
- The problem of squaring the circle was finally proven to be impossible in the 19th century.
- The Apollonian circles are a set of quadrable circles that are tangent to three mutually tangent circles.
- The Fermat-Torricelli point is a point inside a triangle whose distances to the vertices are all quadrable.
- The concept of quadrability has been extended to higher dimensions, where it is known as "parallelizability".
- The idea of quadrability has applications in fields such as geometry, physics, and engineering.
FAQs About the word quadrable
That may be sqyared, or reduced to an equivalent square; -- said of a surface when the area limited by a curve can be exactly found, and expressed in a finite n
No synonyms found.
No antonyms found.
The ancient Greek mathematicians sought to determine which geometric shapes are quadrable, meaning they can be squared using only a compass and straightedge.
The famous Hippocratic Theorem states that the area of a triangle is quadrable if its base and height are both rational.
The quadrable forms include squares, equilateral triangles, and rectangles.
The problem of trisecting an arbitrary angle using only a compass and straightedge is equivalent to the problem of squaring the circle, which cannot be solved because it requires the construction of a segment of a certain length that is not quadrable.
