What was Euclid's most significant contribution to field of mathematics?
Euclid wrote "The Elements", in which he made many rules that define the geometry taught in schools today.
What is the concept of accountability today?
Individual or departmental responsibility to perform a certain function. Accountability may be dictated or implied by law, regulation, or agreement
No. Spherical geometry did not disprove Euclidean geometry but demonstrated that more than one geometries were possible. Different circumstances required different geometries. Similarly hyperbolic geometry did not disprove either of the others.
What are the dates of birth and death of Aristarchus?
Aristarchus of Samos ~ circa 310-230 BC Aristarchus of Samothrace ~ circa 220-143 BC Aristarchus of Tegea ~ 5th century BC Aristachus of Thessalonica ~ 1st century\ the greek guy?
Are Euclid's Elements still used today?
Yes. The geometry taught in today's public schools is based on Euclidian geometry.
What is the difference between euclid's and modern geometry?
dude i wanted to know the answer not to type it
How to negate the hyperbolic parallel postulate?
The hyperbolic parallel postulate states that given a line L and a point P, not on the line, there are at least two distinct lines through P that do not intersect L.
The negation is that given a line L and a point P, not on the line, there is at most one line through P that does not intersect L.
The negation includes the case where there is exactly one such line - which is the Euclidean space.
How has Aristarchus of Samos influenced our modern-day lives?
Aristarchus of Samos was an ancient Green astronomer. He was the first to discover the solar system as we know it today.
Birth and death dates of founding fathers?
Comprehensive lists of the birth- and death-dates of the Founders of the United States are available in many traditional texts and online sources. Relevant dates for three of the most well-known Founders, however, are as follows: Benjamin Franklin, January 17, 1706 - April 17, 1790; Thomas Jefferson, April 13, 1743 - July 4, 1826; John Adams, October 30, 1735 - July 4, 1826.
Which postulates led to the discovery of non-Euclidean geometry?
Adding to what Anand Mehta said, the negation of that statement has two interpretations.
(i) there are zero lines through that point that are parallel to the given line (this is called Elliptic or Reimannian Geometry)
(ii) there is an infinite number of lines that pass through the point and parallel to a given line (this is called Hyperbolic or Lobachevskian Geometry)
I might add that the study of non-Euclidean Geometries are absolutely fascinating.
How is Euclid's work used today?
Euclid's work was geometry, many jobs use geometry such as engineers and architecture
What is the date of Claude Monet's birth and death?
Claude Monet was born 14th November 1840 in Paris, France. He died of old age on 5th December 1926 at the age of 86 in Giverny, France.
Answer 2:
He died of old age, you say, maybe his lung cancer helped.
What did Euclid contribute to mathematics?
Euclid is best known for being the Father of geometry. He also created the oldest mathematical school teaching book called 'Euclid's Elements' which is still being used in school's world wide.
The verb "to postulate" means to assert a claim as true, with or without proof.
Geometric "postulates" are basic axioms that are given or assumed in order to establish the framework of geometric relationships. An example is Postulate 1 which defines point, line, and distance as unique conditions.
The Greek mathematician Euclid (330?-270? b.c.) is considered the "father of geometry." He used axioms (accepted mathematical truths) to develop a deductive system of proof, which he wrote in his textbook Elements. This book proved to be a great contribution to scientific thinking and includes Euclid's proof of the Pythagorean theorem. Euclid's first three postulates, with which he begins his Elements, are familiar to anyone who has taken geometry: 1) it is possible to draw a straight line between any two points; 2) it is possible to produce a finite straight line continuously in a straight line; and 3) a circle may be described with any center and radius.
When did Euclid write The Elements?
Euclid's "The Elements," is a geometric treatise consisting of 13 books written by him circa 300 BC. However, it was compiled from the works of several earlier mathematicians from earlier centuries.
What is the 13th book in euclid's elements?
The thirteenth and last book of the Elements of Euclid deals with the construction of the five "Platonic solids": the tetrahedron, octahedron, cube, icosahedron and dodecahedron. It applies Eudoxus' method of exhaustion to prove that the areas of circles are to one another as the squares of their diameters and that the volumes of spheres are to one another as the cubes of their diameters. It includes the construction of the five regular Platonic solids (pyramid, cube, octahedron, dodecahedron, icosahedron) inside a sphere.
See the related link to read all thirteen books of the Elements.
What is the title of the 13th book of Euclid's Elements?
The thirteenth book of "Euclid's Elements" is called regular solids. In this final book, Euclid names and describes the properties of the five regular solids and ends it by proving no other regular solids exist.
He was the father of geometry and he discovered many ways of finding angles
Alex Shatto
Was Euclid Ohio named after Euclid?
Euclid OH was named after the Greek mathematician. It was incorporated as a township in 1809.