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Why did Euclid insist on proving his theorems without using numbers?
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What are the achievements of Euclid?
He wrote 13 books in Alexandria making theorems for Geometry
What is the contribution of euclid in the field of mathematics?
Euclid is given the honor of being the Father of Geometry. In his book, 'The Elements', Euclid defines the concept of points, lines and planes and together with postulates and theorems develops the subject known as geometry. This occurred in around 300 BCE.
Who proved there are infinite prime numbers?
Euclid
Is euclid the inventor of prime numbers?
No one invented prime numbers.
What was the contribution of euclid in number system?
Euclid contributed to number theory, which is the study of integers. He worked on prime numbers and divisibility. He proved the infinitude of prime numbers, which had not been proven before.
Who organized the proofs of all the known geometrical theorems into a manuscript entitled Elements?
Euclid (http://en.wikipedia.org/wiki/Euclid)
What are the achievements of Euclid?
He wrote 13 books in Alexandria making theorems for Geometry
What is the contribution of euclid in the field of mathematics?
Euclid is given the honor of being the Father of Geometry. In his book, 'The Elements', Euclid defines the concept of points, lines and planes and together with postulates and theorems develops the subject known as geometry. This occurred in around 300 BCE.
Who was euclid and why was he interested in how many prime numbers exist?
Euclid was a Greek mathematician, and is called the father of geometry. A prime number is any number that can only be divided by itself and one. There are an infinite number of prime numbers. As a mathematician Euclid was interested the pursuit of knowledge for knowledge's sake and in proving that things could be quantified (how many, how much). In the case of primes the answer of "there are an infinitely large number of primes" was not available to him as the Greeks did not have the concept of "infinite".
5 levels that euclid used in organizing geometry?
1. Undefined Terms 2. Definitions 3. Postulates 4. Conjectures 5. Theorems :)
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.
Who was the mathematician who sytemized geometry?
Euclid (~300 B.C.). Euclid started with 10 facts that were self-evident and required no proof, called "postulates" and "axioms." From those, he developed hundreds of propositions and theorems, which he proved using only the 10 postulates/axioms and previously proven theorems. The collection of this work was written in 13 books called "Euclid's Elements". Its logical, axiomatic approach and use of rigorous mathematical proofs has remained a model for mathematics and science for over 2000 years.
Contribution of euclid?
invention of natural numbers
Who proved there are infinite prime numbers?
Euclid
Is euclid the inventor of prime numbers?
No one invented prime numbers.
Who provided the infinitely prime numbers in 300bc?
Euclid
Who wrote an important book on geometry called Elements?
EUCLID - a mathematician who lived in Alexandria about 300BC and produced a book bringing together (not necessarily originating) the essential theorems of geometry.
