WordNet-Online
Free dictionary and thesaurus of English. Definitions, synonyms, antonyms and more...
Hint: double-click any word to get it searched!

Google
 

hyperboloid

 

Definitions from WordNet

Noun hyperboloid has 1 sense
  1. hyperboloid - a quadric surface generated by rotating a hyperbola around its main axis
    --1 is a kind of
    quadric, quadric surface

Definitions from the Web

Hyperboloid

Definition

A hyperboloid is a three-dimensional geometric shape that resembles a double cone. It consists of two separate pieces, called sheets, which are connected at their bases. The shape is defined by two oppositely curved surfaces, which are hyperbolas when viewed in cross-section.

Senses and Usages

1. Mathematics

In mathematics, a hyperboloid is a quadric surface that can be defined through the equation of two sheets as x²/a² + y²/b² - z²/c² = 1. It possesses distinct mathematical properties and is used in various branches of mathematics, such as geometry and linear algebra.

Example sentence: The mathematician explained how to derive the equation of a hyperboloid using conic sections.

2. Physics

In physics, a hyperboloid is often used to describe the shape of certain surfaces or objects. It is commonly found in optical systems, such as hyperboloid mirrors or lenses, which help focus light or create specific optical effects.

Example sentence: The telescope utilized a hyperboloid mirror to gather and focus incoming light.

3. Architecture

In architecture, hyperboloid structures refer to curved or twisted architectural elements that resemble a hyperboloid shape. These structures often provide unique and aesthetically pleasing designs.

Example sentence: The modernist building featured a striking hyperboloid roof, adding a distinctive touch to the skyline.

Related products

Explore related products on Amazon:

hyperbole hyperbole hyperbolic hyperbolic geometry hyperbolic point hyperbolically hyperbolise hyperbolize hyperboloid hyperboloidal hyperbols hyperboly hyperborean hyperbulus hypercalcaemia hypercalcemia hypercalcinuria

Sponsored (shop thru our affiliate link to help maintain this site):

WordNet-Online
Home | Free dictionary software | Copyright notice | Contact us | WordNet dictionary | Automotive thesaurus