Definition of Plane problem. Meaning of Plane problem. Synonyms of Plane problem

Here you will find one or more explanations in English for the word Plane problem. Also in the bottom left of the page several parts of wikipedia pages related to the word Plane problem and, of course, Plane problem synonyms and on the right images related to the word Plane problem.

Definition of Plane problem

Plane problem
Problem Prob"lem, n. [F. probl[`e]me, L. problema, fr. Gr. ? anything thrown forward, a question proposed for solution, fr. ? to throw or lay before; ? before, forward + ? to throw. Cf. Parable. ] 1. A question proposed for solution; a matter stated for examination or proof; hence, a matter difficult of solution or settlement; a doubtful case; a question involving doubt. --Bacon. 2. (Math.) Anything which is required to be done; as, in geometry, to bisect a line, to draw a perpendicular; or, in algebra, to find an unknown quantity. Note: Problem differs from theorem in this, that a problem is something to be done, as to bisect a triangle, to describe a circle, etc.; a theorem is something to be proved, as that all the angles of a triangle are equal to two right angles. Plane problem (Geom.), a problem that can be solved by the use of the rule and compass. Solid problem (Geom.), a problem requiring in its geometric solution the use of a conic section or higher curve.

Meaning of Plane problem from wikipedia

- Unsolved problem in mathematics: How many colors are needed to color the plane so that no two points at unit distance are the same color? (more unsolved...
- In geometry, the tangent line (or simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at...
- geometry problem of computing the smallest circle that contains all of a given set of points in the Euclidean plane. The corresponding problem in n-dimensional...
- plane. No general rule has been found for determining whether a given shape can tile the plane or not, which means there are many unsolved problems concerning...
- His works solved all major problems of the Plane Elasticity Theory opening a wide class of domains reducing the plane problem to finite systems of linear...
- "half-plane problem", originally solved by Arnold Sommerfeld using a plane wave spectrum formulation. A generalization of the half-plane problem is the...
- utility companies on a plane. When posing it in the early 20th century, Henry Dudeney wrote that it was already an old problem. It is an impossible puzzle:...
- In plane geometry, the einstein problem asks about the existence of a single prototile that by itself forms an aperiodic set of prototiles; that is, a...
- In physics, specifically classical mechanics, the three-body problem is to take the initial positions and velocities (or momenta) of three point m****es...
- isoperimetric problem is to determine a plane figure of the largest possible area whose boundary has a specified length. The closely related Dido's problem asks...