What was Euclid's most important accomplishment?
Euclid's most important accomplishment was the compilation of all the mathematics known in his time, which he included in this treatise 'Elements. 'Elements formed the basis of geometry as it is taught to this day, over 2,000 years later.
he studied geometry an some types of elements and portions.
Because he was the first person to write a geometry book!
What is the title of the thirteenth volume of Euclid's Elements?
Volume XIII of Elements deals with the construction of the five regular Platonic solids (pyramid, cube, octahedron, dodecahedron, icosahedron) inside a given sphere.
What was the Elements that Euclid wrote?
Euclid's Elements is a mathematical and geometric treatiseconsisting of 13 books written by the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egyptc. 300 BC. It is a collection of definitions, postulates (axioms), propositions (theoremsand constructions), and mathematical proofs of the propositions.
What are the 13 elements of Euclid?
Book I. The fundamentals of geometry: theories of triangles, parallels, and area. Book II. Geometric algebra. Book III. Theory of circles. Book IV. Constructions for inscribed and circumscribed figures. Book V. Theory of abstract proportions. Book VI. Similar figures and proportions in geometry. Book VII. Fundamentals of number theory. Book VIII. Continued proportions in number theory. Book IX. Number theory. Book X. Classification of incommensurables. Book XI. Solid geometry. Book XII.Measurement of figures. Book XIII. Regular solids.
What is Euclid of Alexandria famous for?
the use of a deductive system...which is extremely hard to explain....
Euclid is referred to as the Father of Geometery. Teachings from Euclid's book Elements has been used as the main textbook for mathematics, including geometry, for over two thousand years.
Euclid lived during the late third and early fourth centuries, BCE. He flourished during the reign of Ptolemy I.
Why are Thales and Euclid both considered as a father of geometry?
because of the three knowledge that pulls the gravity of the earth.
3 world events that occured in Euclid's lifetime?
Euclid lived around 300 BC. This is when the central texts of the Indian religion called "Jainism" were first recorded. Also, this is when Greek pilgrims started to travel to Asclepieion to be cured for their diseases.
What are 3 historical world events that occured in Euclid's lifetime?
i really dont know so im gone bye duces
What are common notions in euclid geometry?
1. Given two points there is one straight line that joins them.
2. A straight line segment can be prolonged indefinitely.
3. A circle can be constructed when a point for its centre and a distance for its radius are given.
4. All right angles are equal.
5. If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if
produced indefinitely, meet on that side on which the angles are less than the two right angles.
6. Things equal to the same thing are equal.
7. If equals are added to equals, the wholes are equal.
8. If equals are subtracted from equals, the remainders are equal.
9. Things that coincide with one another are equal.
10. The whole is greater than a part.
What are the major milestones in math from Euclid to Euler?
That's over two thousand years during which the disciplines of math and its related sciences underwent wholesale changes on a regular basis. It's a great topic for a thesis or a research paper, but it's beyond the scope of our operation.
What contributions to mathematics did Euclid make?
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.
How do you use Euclid's method for finding the GCF?
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.
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
Euclid is the English translation of the Greek name Eukleides, meaning Good Glory.
Euclid was born in Megara, In fact 100 years before the great mathematician, Euclid of Alexandria, there was a Euclid of Megara.
Euclid's algorithm is a popular algorithm to compute the GCD of two numbers.
Algorithm:
Gcd(a,b) = Gcd(b, a mod b), where a>=b and
Gcd(a,0) = a
Say we want to find the GCD of 72 and 105. 105 mod 72 = 33, so GCD(72,105) = GCD(33,72) 72 mod 33 = 6, so GCD(33,72) = GCD(6,33) 33 mod 6 = 3 so GCD(6,33) = GCD(3,6) 6 mod 3 = 0 so GCD(3,6) = GCD(0,3) = 3. So the GCD of 72 and 105 is 3.