A convex line is a curved line that does not have any indentations or concavities. It continuously curves outward, giving it a smooth and rounded appearance. In geometric terms, a convex line does not intersect itself and all points on the line lie on the same side.
Convex is usually bigger than concave. In a convex shape, an imaginary line connecting any two points lies completely within the shape, making it appear more expansive. In contrast, a concave shape curves inward, often providing less surface area than a convex shape of similar dimensions.
No, the region enclosed by a circle is not considered convex because it contains points within the circle that do not lie on the boundary of the circle. In convex regions, any line segment connecting two points inside the region will also lie completely inside the region.
A set is said to be convex with respect to the origin if the line segment between any two points in the set lies entirely within the set. In simpler terms, for any two points within the set, all the points on the line joining them are also within the set.
A magnifying glass is convex.
The human eye has a double convex lens in the cornea (outermost layer) and a bi-convex lens in the crystalline lens inside the eye.
east to west
No. Convex simply means that if you have a straight line segment joining any two points in (or on) a convex shape, then every point on that line segment in inside or on the shape. A convex shape can have 2 or more dimensions, it can by a polygon or have curved sides.
Take any two points on or inside a body. If every point on the straight line joining the two points lies within the shape, then it is convex. If not, it is non-convex.
A polygon is convex if you can take any two points inside the polygon and connect them with a line segment that is completely contained by the polygon. A non-convex polygon is one which contains at least two points such that the line joining them does not lie entirely inside the polygon.
A polygon is convex if no two points on it's border define a line segment that falls outside the polygon.
Convex
A convex image is formed when light reflects off at least a roughly convex surface. It spreads a beam of light out in multiple directions instead of reflecting it in a straight line, so the reflective image looks larger, or, namely, convex.
A convex polygon is a polygon such that no side extended cuts any other side or vertex; it can be cut by a straight line in at most two points Example: A square is a convex polygon, as is an eqilateral triangle. A star shaped polygon is NOT convex. More generally, In Euclidean space, objects are convex if for every pair of points within the object, every point on the straight line segment that joins them is also within the object.
No interior angle of a convex polygon can exceed 180 degrees. A non-convex polygon has at least one reflex angle (> 180 degrees). Alternatively, a polygon is convex if, given any two points on or inside the polygon, the straight line joining the two points must lie wholly on or inside the polygon. In a non-convex polygon, it is possible to find a pair of points such that the straight line joining them lies outside the polygon for at least some of its length.
The answer depends on how it is halved. If the plane is divided in two by a step graph (a zig-zag line) then it will not be a convex set.
a polygon with 6 sides * * * * * The fact that is has six sides makes it a hexagon but that does not explain ""convex". A convex polygon is one in which none of the angles is a reflex angle. An alternative definition of convex is that a line joining any two points inside the hexagon is wholly inside the shape.
Convex: any line drawn through the polygon (and not tangent to an edge or corner) meets its boundary exactly twice.Non-convex: a line may be found which meets its boundary more than twice.Simple: the boundary of the polygon does not cross itself. All convex polygons are simple.Concave: Non-convex and simple.Star-shaped: the whole interior is visible from a single point, without crossing any edge. The polygon must be simple, and may be convex or concave.hope it can help you :)