What does concave

If you stand in front of a convex mirror, the opposite will happen—your reflection will appear shorter. Does this help you understand the difference between concave and convex?

Concave describes shapes that curve inward. The inside part of a bowl is a concave shape. Concave can also be used as a noun. A concave is a surface or a line that is curved inward. Grammarly can save you from misspellings, grammatical and punctuation mistakes, and other writing issues on all your favorite websites.

A convex shape is the opposite of a concave shape. It curves outward, and its middle is thicker than its edges. Finding a mnemonic device for concave is easy enough. My contact lenses have a concave shape which allows them to pull in and visually sharpen images. If you press the cantaloupe and it becomes concave and bendy, then you know the fruit is overly ripe. A function of a single variable is concave if every line segment joining two points on its graph does not lie above the graph at any point.

Symmetrically, a function of a single variable is convex if every line segment joining two points on its graph does not lie below the graph at any point. Concave describes shapes that curve inward. The inside part of a bowl is a concave shape. A concave is a surface or a line that is curved inward.

Concave is an adjective that describes a surface that curves inward, or is thinner in the middle than on the edges. In ordinary usage, concave and convex are typically used when referring to glass surfaces, like the lenses of optical viewing equipment. The side mirror of a car has a concave surface. We can calculate the second derivative to determine the concavity of the function's curve at any point.

Calculate the second derivative. Substitute the value of x. Concave quadrilateral : A quadrilateral is called a concave quadrilateral , if at least one line segment joining the vertices is not a part of the same region of the quadrilateral. That is, any line segment that joins two interior points goes outside the figure.

The interiors of circles and of all regular polygons are convex , but a circle itself is not because every segment joining two points on the circle contains points that are not on the circle. To prove that a set is convex , one must show that no such triple exists. The examples of concave mirrors are the mirrors used in automobile head lights, reflecting telescopes, torch lights, etc. Convex Shapes and Polygons To be convex is to be curved outwards. A polygon is a two-dimensional shape with straight lines as sides.

A polygon is convex if all of its internal angles are less than or equal to degrees. Concave describes an inward curve ; its opposite, convex, describes a curve that bulges outward.

They are used to describe gentle, subtle curves , like the kinds found in mirrors or lenses. If you want to describe a bowl, you might say there is a large blue spot on the center of the concave side.

Please disregard our earlier advice. Neither word is particularly recent; concave has been in English since the 15th century, and convex since the 16th. Make a holowe case of sylver, after the fashion of a concave glasse, outwardly laboured with curious art of gravyng, not onely for ornament, but also for lyghtnesse.

Each of these words has multiple meanings, but the reason most people look them up, we are fairly certain, is simply because they have trouble remembering which one bows out and which one bows in. Sometimes silly little mnemonics are the best tool for the job. Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free! Log in Sign Up. Usage Notes 'Concave' vs.

What to Know Concave means "hollowed out or rounded inward" and is easily remembered because these surfaces "cave" in.