quadrable Antonyms

No Synonyms and anytonyms found

Meaning of quadrable

Webster

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.

quadrable Sentence Examples

1. The ancient Greek mathematicians sought to determine which geometric shapes are quadrable, meaning they can be squared using only a compass and straightedge.
2. The famous Hippocratic Theorem states that the area of a triangle is quadrable if its base and height are both rational.
3. The quadrable forms include squares, equilateral triangles, and rectangles.
4. 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.
5. The Greeks knew that the circle is not quadrable, but they were unable to prove it.
6. The problem of squaring the circle was finally proven to be impossible in the 19th century.
7. The Apollonian circles are a set of quadrable circles that are tangent to three mutually tangent circles.
8. The Fermat-Torricelli point is a point inside a triangle whose distances to the vertices are all quadrable.
9. The concept of quadrability has been extended to higher dimensions, where it is known as "parallelizability".
10. The idea of quadrability has applications in fields such as geometry, physics, and engineering.

FAQs About the word quadrable

What is the meaning of 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

What are the synonyms of the word quadrable

No synonyms found.

What are the antonyms of the word quadrable

No antonyms found.

What is the usage of word quadrable

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.

How to use the word quadrable in a sentence?

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.