How was the Cartesian coordinate plane discovered?

The coordinate system we commonly use is called the Cartesian system, after the French mathematician René Descartes (1596-1650), who developed it in the 17th century. Legend has it that Descartes, who liked to stay in bed until late, was watching a fly on the ceiling from his bed.

How did he discover the Cartesian plane?

When he got out of bed, Descartes wrote down what he had discovered. Then he tried describing the positions of points, the same way he described the position of the fly. Descartes had invented the coordinate plane! In fact, the coordinate plane is sometimes called the Cartesian plane, in his honor.

How was coordinate Geometry discovered?

The Cartesian coordinate system or the rectangular coordinate system was invented by French mathematician René Descartes, when he tried to describe the path of a fly crawling along criss-cross beams on the ceiling while he lay on his bed. The Cartesian coordinate system created a link between algebra and geometry.

Who introduced the Cartesian coordinate plane?

philosopher René Descartes

The Cartesian plane is named after the French mathematician and philosopher René Descartes (1596–1650), who introduced the coordinate system to show how algebra could be used to solve geometric problems.

When was coordinate geometry invented?

17th century

Rene Descartes invented the Cartesian coordinates in the 17th century. In Latin, his name is Renatius Cartesius.

What is the coordinate of the origin in the XY plane?

The coordinates of the origin are (0, 0). An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y-coordinate.

What is Cartesian plane origin?

Cartesian coordinates



In a Cartesian coordinate system, the origin is the point where the axes of the system intersect. The origin divides each of these axes into two halves, a positive and a negative semiaxis.

What is coordinates in Cartesian plane?

The Cartesian coordinates (also called rectangular coordinates) of a point are a pair of numbers (in two-dimensions) or a triplet of numbers (in three-dimensions) that specified signed distances from the coordinate axis.

What is origin in Cartesian plane write coordinate of origin?

Origin lies on the intersection of the x-axis and y-axis, i.e, (0,0). Was this answer helpful?

Who is the father of coordinate geometry?

René Descartes

The invention of Cartesian coordinates in the 17th century by René Descartes (Latinized name: Cartesius) revolutionized mathematics by providing the first systematic link between Euclidean geometry and algebra.

Which among these mathematicians was the Cartesian plane named after?

mathematician Rene Descartes

The Cartesian plane, named after the mathematician Rene Descartes (1596 – 1650), is a plane with a rectangular coordinate system that associates each point in the plane with a pair of numbers.

What is the point O called?

The points O and O’ are called second and first focal points respectively.

What is the measure of angle AOD?

We know that, the sum of all the angles of a triangle is equal to 180°. Hence, the measure of ∠AOD is 90°.

What is the intersection of lines L and M?

Lines can intersect planes and planes can intersect each other. P is the intersection of line l and m.

Are two planes that do not intersect always parallel?

The intersection of two planes is a line. If the planes do not intersect, they are parallel. They cannot intersect at only one point because planes are infinite.

How many planes can pass through a line?

There are an infinite number of planes that could go through a single line. A line with less than two points would not be a line at all. It would only be a point. Two lines may be parallel (never intersect) or coinciding (overlap) as well.

Are Ray GH and Ray Hg the same?

Ray GH and HG are ? the same ray. Ray JK and JL are ? the same ray.

Can parallel lines be skew?

This is false, by definition skew lines are in different planes and parallel lines are in the same plane. Two lines could be skew or parallel (or neither), but never both.

Can two planes be skew?

A simple example of a pair of skew lines is the pair of lines through opposite edges of a regular tetrahedron. Two lines that both lie in the same plane must either cross each other or be parallel, so skew lines can exist only in three or more dimensions. Two lines are skew if and only if they are not coplanar.

How many planes can be passed through a pair of skew lines?

No, it’s not possible to have one plane containing two skew lines. Remember, lines in a plane are either parallel or intersect. Maybe the easiest example to visualize is that of two non-intersecting perpendicular lines in space.

Can a plane contain 2 skew lines?

It is obvious that if two lines lie in the same plane, they must either intersect each other or are parallel. Therefore, skew lines can exist only in three or more dimensions and two lines are skew, if and only if, they are not in the same plane. For example see in the figure below.

Do skew lines lie in the same plane?

Skew lines are never in the same plane. Skew lines can be perpendicular. Planes can be parallel.

Can a pair of planes be described as skew?

In three-dimensional space, planes are either parallel or intersecting (in higher dimensional spaces you can have skew planes, but that’s too trippy to think about). Parallel planes never meet, looking kind of like this: Intersecting planes intersect each other.

What do you call the lines that do not lie on the same plane?

Recall that skew lines are lines that do not lie on the same plane, never intersect, or parallel.

What does coplanar and Noncollinear mean?

Video quote: Two or more lines lying on the same plane a called coplanar lines. When are two lines not coplanar. If two lines do not lie on the same plane like this then they are non coplanar.

What shows exact position in space?

Point. A point is an exact location in space. A point is denoted by a dot. A point has no size.