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Euclid
Euclid was a Greek mathematician who became famous as the Father of Geometry. He was also known as Euclid of Alexandria, where he founded a school over 2,000 years ago. He published a 13 volume treatise called Elements, a collation of all the mathematics known at that time, which is the basis of geometry still taught in modern schools more than 2,000 years later.
681 Questions
Why do you need Euclid's division algorithm in place of prime factorization?
You can use either, so technically you don't "need" one or the other.
HOWEVER, for large numbers, Euclid's division algorithm is much faster... INCREDIBLY faster. It gets you the result almost immediately, whereas looking for prime factors of large numbers can take you a long, long time.
Euclid is thought to have been born in Greece, but his actual birthplace is unknown.
How do you teach theoretical geometry in interesting way?
The principles could be applied to actual situations that is used in the real world. This is an excellent way to increase memory retention. Not only being told a concept but seeing a concept being applied to a real life problem solving situation would increase understanding and retention. This is an important theory of learning. I wish my math teachers had used algebra, trig, geometry ,etc. I NEVER knew why I was learning the math as a nursing student. I have never used any of it except ratios. Apply the learning subject to a real situation. Take them on a field trip to a construction site or engineering site to understand application of the formulas, etc. Then it would not be so 'theoretical, would it?
He was educated at Plato's Academy where he stayed until he was invited to teach by Ptolemy I at his newly founded university
Is it possible for a parallelogram to not be a rectangle?
Yes: it could also be a rhomboid, rhombus, or a square.
How did Archimedes contribute in the advacements of geometry?
Type your answer here... he developed the theory of great mathimatics
Can you show some pictures of Paris?
Yes. You can do an image search with the term Paris, or click on the related link below.
What was aritotle's contribution to geometry?
Aristotle believed mathematics to have great importance as one of the three theoretical sciences, mathematics, philosophy, and theoretical physics. He is not known to have made any new discoveries in mathematics, but he became important in the development of mathematics by introducing deductive logic in his teachings. Most of his illustrations of utilizing scientific method were derived from mathematics.
Who are the mathematicians who lived from Euclid to Euler and their contributions in mathematics?
If I understand you correctly, you would like us to provide you with a list of mathematicians, no matter their area of concentration, over a two thousand year time period. We're not here to write research papers of that magnitude. If you could narrow your request, you might receive a more satisfying answer.
Did Archimedes developed geometry?
Archimedes, along with countless other mathematicians and philosophers, helped lay the foundation for the development of geometry. Euclid assembled all of the geometric formulae known in ancient Greece and Egypt into his 13 volume work called 'Elements' over 2,000 years ago.
Who was an important person in Euclid's life?
Nobody really knows because Euclid' life info has been lost through the years, and do you like pepperoni pizza?
yes
Yes, that is biased. Scent A is described with positive adjectives, while Scent B is described with neutral to negative adjectives.
Does every prime number appear in the Euclid-Mullin sequence?
This is an unsolved problem in mathematics. However, as of 2012, the prime 41 had not been known to appear in the Euclid-Mullin sequence.
How did Euclid find the greatest common factor?
If the two numbers are the same then the GCF is the common value. Otherwise:
- find the difference between the larger number and the smaller number.
- replace the larger of the two numbers by this difference.
- if the two numbers are the same then that is the GCF, but if not go back to step 1.
Euclidean Algorithm
It is not necessary to actually list the factors of all numbers to get the GCF for only two numbers. You can use the Euclidean algorithm.
(1) Divide the larger number by the smaller one.
(2) If there is no remainder, the GCF is the same as the smaller number.
(3) Repeat step 1 with the smaller number and the remainder.
Example:
GCF of 51 and 85.
85/51 = 1 R 34
51/34 = 1 R 17
34/17 = 2 R 0<== By step 2, we are done. Our answer is 17.
Lets try one that doesn't reduce -- GCF(17,39)
39/17 = 2 R 5
17/5 = 3 R 2
5/2 = 2 R 1
2/1 = 2 R 0, so our answer, the GCF, is 1.
