0
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
Euclid OH is a city in Cuyahoga County, Ohio, in the US.
How did Euclid prove there is no largest prime?
The proof that there is no largest prime:
Assume that there are a finite number of primes for the sake of contradiction. Then, there should be a number P that equals p1p2p3...pn+1. P is either prime or not prime (composite). If it is prime, we just show that P is larger than the largest prime in the list. If it's not prime, it must be composite. Composite always has at least one factor that is prime, but since P is not divisible by any prime in the list, the unknown prime factor(s) must be something not in the list, this also shows that there is a prime larger than the largest prime in the list. Both cases show that no matter how large a list of prime numbers, there will be always at least one larger prime outside of that list.
Euclid of Alexandria was born sometime in the mid-4th century BC, and was a Greek mathematician. He is known as the 'Father of Geometry.'
When and where did Euclid die?
Euclid died around 265 B.C.E., but there is no known record of where he died.
Euclid probably was educated in Athens by pupils of Plato. His chief work, Elements, was used as a school text for 2000 years. A modified version of its first few sections forms the basis of modern high school plane geometry. The first printed edition of Elements was a translation from Arabic to Latin that appeared at Venice in 1482.
How old was Euclid when he died?
Euclid died when he was about sixty years of age.
he lived until he was 60
What was Euclid's educational background?
Since there is almost no information at all about Euclid, we believe he obtained his education from the students of Plato in Athens, Greece.
There are no known records of Euclid's early life or family other than he was thought to have been born in Greece and received his early education in Athens.
Euclid's family, birthplace, and life span are unknown/uncertain facts right now. There wasn't much information about him, so any other info on the internet about his family may be fake.
There is no record of the name of Euclid's spouse, if he ever married, or any information about his parents or other members of his family.
There is no known record of Euclid's parents, sibling, marriage, or childhood.
Who was euclid and what has been the impact of his work?
Euclid was a mathematician whose third century B.C. textbook Elements served as the western world's unchallenged standard for two millennia. Nothing is known about Euclid's life or physical appearance, and what little is known about his career comes from inferences in later sources. It is generally agreed that he taught geometry in Hellenistic Egypt, at Alexandria during the reign of Ptolemy I, between 305 and 285 B.C. He is credited with the thirteen volumes of Elements, a work that accumulated mathematical knowledge and codified it into a deductive system of proofs. Euclidean geometry was the geometry until the 19th century, when mathematicians began to challenge Euclid's assumptions about parallel lines when considering measurements over very large distances of, say, billions of light years. Euclids theories and knowledge impacted scientists throughout history froever.
Also The book Elements is still used today as a reference for Math Textbooks.
Really no one knows. Not many people knows about his personal life, ha they don't even know when and where he was born, let alone his teacher.
How did Euclid make his discoveries?
He made his 'discoveries' by studying and compiling the works of other mathematicians who lived many years before him.
Euclid was a man - a great geometer of the ancient world. Your question should read "What is Euclidean geometry ?" The answer is : Euclidean geometry is that geometry that is based on all Euclid's axioms and postulates, including the one that says "Given a straight line on the plane and a point on the plane that is not on the line, then there can be drawn through the point and on the plane, exactly one line that never intersects the first line." Euclid knew quite well that this last was only a postulate, and that it might be possible to construct a self consistent geometry with this postulate different. It was not until the 19th century that other mathematicians caught on to this, and came up with alternative geometries. When we talk about geometries on a surface then the crucial question is whether the surface is flat - if it is then geometry is Euclidean. If the surface is curved then it isn't. Of course, we amost always do our geometry on a flat surface if we can. We can't if we are trying to navigate on the surface of the earth which is curved. The question becomes really important when we go to three dimensions; what is the geometry of space, is it curved and if so which way. The new geometries were another one of the mathematicians' pretty toys until Einstein showed us that space was in fact curved.
There is little known about Euclid's past life and family. His mother and father are not known.
The names of Euclid's elements?
i think that euclids elements were everything we know about geometry and that we will soon know a lot more about this subject because we are finding new things every day and soon someone will find out something new about geometry
What are the titles of Euclid's Element's books?
The 13 books of Euclid's Elements are generally referred to by their book number.
The main subject matter of each book:
Book 1 contains the basic properties of geometry: the Pythagorean theorem, equality of angles and areas, parallelism, the sum of the angles in a triangle, and the three cases in which triangles are "equal" (have the same area).
Book 2 is commonly called the "book of geometrical algebra," because the material it contains may easily be interpreted in terms of algebra.
Book 3 deals with circles and their properties: inscribed angles, tangents, and the power of a point.
Book 4 is concerned with inscribing and circumscribing triangles and regular polygons.
Book 5 is a treatise on proportions of magnitudes.
Book 6 applies proportions to geometry: Thales' theorem, similar figures.
Book 7 deals strictly with elementary number theory: divisibility, prime numbers, greatest common divisor, least common multiple.
Book 8 deals with proportions in number theory and geometric sequences.
Book 9 applies the results of the preceding two books: the infinitude of prime numbers, the sum of a geometric series, perfect numbers.
Book 10 attempts to classify incommensurable (in modern language, irrational) magnitudes by using the method of exhaustion, a precursor to integration.
Book 11 generalizes the results of Books 1-6 to space: perpendicularity, parallelism, volumes of parallelepipeds.
Book 12 calculates areas and volumes by using the method of exhaustion: cones, pyramids, cylinders, and the sphere.
Book 13 generalizes Book 4 to space: golden section, the five regular (or Platonic) solids inscribed in a sphere.
