Examples of using Euclidean geometry in English and their translations into Bulgarian
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locally the laws of the Euclidean geometry are good approximations.
The first two volumes cover the foundations of Euclidean geometry and the introduction of a coordinate system,
In general, the universe can have three different kinds of geometries: hyperbolic geometry, Euclidean geometry, or elliptic geometry. .
At this time it was widely believed that the universe worked according to the principles of Euclidean geometry.
This had the remarkable corollary that non-euclidean geometry was consistent if and only if euclidean geometry was consistent.
After making a systematic study of the axioms of Euclidean geometry, Hilbert proposed a set of 21 axioms
our shadow figures could eventually master the knowledge of the two-dimensional Euclidean geometry.
In this way the Erlanger Programm defined geometry so that it included both Euclidean geometry and non-Euclidean geometry. .
A systematic study of the axioms of Euclidean geometry led Hilbert to propose 21 such axioms and he analyzed their significance.
It was later shown that these non-Euclidean geometries were consistent relative to Euclidean geometry: they were logically consistent, as long as one assumed that Euclidean geometry was consistent.
This ancient- first recorded circa 570-495 BC- is a fundamental principle in Euclidean Geometry and the basis for the definition of distance between two points.
The ancient theorem which was first recorded 570-495 B. C is a fundamental principle in Euclidean Geometry, and the basis for the definition of distance between two points.
Euclidean geometry but thoroughly consistent,
Britannica(published in 1910 and 1911) contributing articles on'calculating machines','Euclidean geometry','projective geometry','projection','descriptive geometry', and'perspective'.
on a system of axioms of Euclidean geometry, followed the trend of development of Pasch(1882)
Klein contribution in geometry is that publish two pieces of paper which called Non-Euclidean Geometry where he showed that Euclidean geometry and non-Euclidean geometry considered as special projective case with the a certain surface formed a con.
He published two papers On the So-called Non-Euclidean Geometry in which he showed that it was possible to consider euclidean geometry and non-euclidean geometry as special cases a projective surface with a specific conic section adjoined.
then the geometry of the universe is flat: as in Euclidean geometry, the sum of the angles of a triangle is 180 degrees
quite different from ours[i.e. Euclidean geometry] but thoroughly consistent,
The reason why people often talk about"Euclidean geometry" is around 300 B.C.(and this over here is a picture of Euclid painted by Raphael,