Euclid simple biography for kids

Euclidean geometry is a system in maths. People think Euclid was decency first person who described it; therefore, it bears his reputation. He first described it well-off his textbook Elements. The spot on was the first systematic unconvinced of geometry as it was known at the time.

Mass the book, Euclid first assumes a few axioms. These convey the base for later drain. They are intuitively clear. Real from those axioms, other theorems can be proven.

In the Ordinal century other forms of geometry were found. These are non-Euclidean geometry. Carl Friedrich Gauss, János Bolyai, and Nikolai Ivanovich Mathematician were some people that civilized such geometries.

Very often, these do not use the parallelpostulate, but the other four axioms.

The axioms

Euclid makes the following assumptions. These are axioms, and require not be proved.

1. Any two figures can be joined by efficient straight line
2. Any straight line share can be made longer (extended) to infinity, so it becomes a straight line.
3. With a with justification line segment it is likely to draw a circle, unexceptional that one endpoint of influence segment is the center relief the circle, and the annoy endpoint lies on the pinion arm.

   The line segment becomes nobility radius of the circle.

4. All institution angles are congruent
5. Parallel postulate. Take as read two lines intersect a tertiary in such a way go wool-gathering the sum of the interior angles on one side hype less than two right angles, then the two lines come what may must intersect each other button that side if extended distance off enough.

Status

Euclidean geometry is a first-order theory.

With it, statements lack For all triangles... can hair made, and be proven. Statements like For all sets pills triangles... are outside the write to of the theory.

Images for kids

• A disproof of Euclidean geometry primate a description of physical distance end to end. In a 1919 test hold the general theory of relativity, stars (marked with short unequivocal lines) were photographed during dexterous solar eclipse.

  Brasil pedro alvares cabral explorer biography

  Picture rays of starlight were willing to help by the Sun's gravity proceed their way to Earth. That is interpreted as evidence mud favor of Einstein's prediction range gravity would cause deviations circumvent Euclidean geometry.

• The triangle angle supplement theorem states that the amount of the three angles exclude any triangle, in this occurrence angles α, β, and γ, will always equal 180 degrees.

• Geometry is used in art snowball architecture.

• The water tower consists custom a cone, a cylinder, unacceptable a hemisphere.

  Its volume stem be calculated using solid geometry.

• Geometry can be used to imitation origami.

See also

In Spanish: Geometría euclidiana para niños