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Table of Contents
Euclid was a Greek mathematician, sometimes called Euclid of Alexandria, and was often described as the “Father of Geometry”. His name means “good glory” in Greek. He is famous for the treatise Elements, one of the most influential works in the history of mathematics, which served as the main textbook for teaching mathematics.
See the fact file below for more information on the Euclid or alternatively, you can download our 20-page Euclid worksheet pack to utilise within the classroom or home environment.
Key Facts & Information
BIOGRAPHY
- There are few references to Euclid’s life. He was likely born in c. 325 BC. He is referred to by name, though not often, by other Greek mathematicians from Archimedes (c. 287 BC – c. 212 BC) onward.
- Proclus presents Euclid briefly in his commentary on the Elements. As indicated by Proclus, Euclid seems to have been part of Plato’s “persuasion” and brought together the Elements, drawing on prior work by Eudoxus of Cnidus and several of Plato’s pupils.
- Proclus believed that Euclid must have lived during the time of Ptolemy I (c. 367 BC – 282 BC) because he was mentioned by Archimedes.
- Despite the fact that the clear reference to Euclid by Archimedes is thought to have been inserted by later editors of his works, it is still accepted that Euclid composed his works before Archimedes composed his.
- Euclid died in c. 270 BC, supposedly in Alexandria. Since there is a lack of biographical information, which is atypical of that period, a number of researchers have proposed that Euclid was not a historical personage, and that his works were composed by a group of mathematicians who took the name Euclid from Euclid of Megara.
- Nonetheless, this theory is barely acknowledged by scholars and there is little proof in its favor.
ELEMENTS AND FRAGMENTS
- Euclid’s Elements is still one of the best-known books on mathematics in history. Euclid presents topics in a single, logically coherent structure, making it convenient and easy to reference, including a system of rigorous mathematical proofs that remains the basis of mathematics 23 centuries later.
- There is no reference to Euclid in the earliest remaining copies of the Elements. The majority of the copies state that they are “from the version of Theon” or the “talks of Theon”.
- The Elements also includes number theory. It takes into consideration the relationship between perfect numbers and Mersenne primes (known as the Euclid–Euler theorem), the infinitude of prime numbers, Euclid’s lemma on factorization, and the Euclidean algorithm for finding the greatest common divisor of two numbers.
- The geometrical framework portrayed in the Elements was for some time referred to as geometry, and was considered to be the only geometry possible.
- Today, in any case, that framework is regularly alluded to as Euclidean geometry to distinguish it from other so-called non-Euclidean geometries found in the 19th century.
- The fragment of the second book of the Elements of Euclid was the Papyrus Oxyrhynchus 29 (P. Oxy. 29), which was discovered by Grenfell and Hunt 1897 in Oxyrhynchus.
- The fragment holds the declaration of the 5th proposition of Book 2, which in the translation of T. L. Heath reads: If a straight line be cut into equal and unequal segments, the rectangle contained by the unequal segments of the whole together, with the square on the straight line between the points of section equal to the square on the half.
OTHER WORKS
- Besides Elements, at least five works by Euclid have survived to the present day. They follow a similar logical structure as Elements, with definitions and demonstrated suggestions.
- Data deals with the nature and suggestions of “given” information in geometrical problems.
- Divisions of Figures deals with the division of geometrical figures into two or more equal parts or into parts in given ratios.
- Catoptrics addresses the mathematical theory of mirrors, especially the images formed in plane and spherical concave mirrors.
- Phaenomena, a treatise on spherical astronomy, survives in Greek; it is quite similar to On the Moving Sphere by Autolycus of Pitane, who flourished in around 310 BC.
- Optics is the first surviving Greek treatise on perspective. In its precisions, Euclid follows the Platonic tradition that vision is caused by discrete rays which exude from the eye.
LEGACY
- As one of the most notable mathematicians ever, there are many forms of math named after Euclid, including Euclidean geometry, the Euclidean number, and the Euclidean calculation.
Euclid Worksheets
This is a fantastic bundle which includes everything you need to know about the Euclid across 20 in-depth pages. These are ready-to-use Euclid worksheets that are perfect for teaching students about Euclid who was a Greek mathematician, sometimes called Euclid of Alexandria, and was often described as the “Father of Geometry”. His name means “good glory” in Greek. He is famous for the treatise Elements, one of the most influential works in the history of mathematics, which served as the main textbook for teaching mathematics.
Complete List Of Included Worksheets
- Euclid Facts
- Euclid’s Profile
- Five Works
- Letter Clue
- Euclid’s Contributions
- Time to Think
- Image in Shapes
- Balloon Pop
- Lost Works
- The Mathematicians
- Number Legacy
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Use With Any Curriculum
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