Maths holiday homework.pptx

this is a ppt on Euclid the greatest mathematician. You can use it in your school for presentation purposes.
best for the chapter : Euclid Geometry

1. Maths holiday homework name -> anmol garg Class -> viii – a Roll no.-> 7 (seven)

2. Euclid [ the greatest mathematician ]

3. Who is euclid ? Euclid is the a famous ancient greek mathematician who lived in the greek city of alexandria in egypt during the 3 rd CENTURY BCE.

4. ABOUT HIS LIFE Very few original references to Euclid survive, so little is known about his life. He was likely born c. 325 BC, although the place and circumstances of both his birth and death are unknown and may only be estimated roughly relative to other people mentioned with him. He is rarely mentioned by name by other Greek mathematicians from  Archimedes  (c. 287 BC – c. 212 BC) onward, and is usually referred to as "ὁ στοιχειώτης " ("the author of Elements"). [6]  The few historical references to Euclid were written centuries after he lived, by  Pappus of Alexandria  c. 320 AD and  Proclus  c. 450 AD.

5. EUCLID’S ELEMENTS The  Elements   is a  mathematical   treatise consisting of 13 books attributed to the ancient  Greek mathematician   Euclid  in  Alexandria ,  Ptolemaic Egypt  c. 300 BC. It is a collection of definitions, postulates, propositions and  mathematical proofs of the propositions. The books cover plane and solid  Euclidean geometry , elementary  number theory , and  incommensurable  lines.  Elements  is the oldest extant large-scale deductive treatment of  mathematics . It has proven instrumental in the development of  logic  and modern  science , and its logical rigor was not surpassed until the 19th century. Euclid's  Elements  has been referred to as the most successful  and influential textbook ever written.

6. GEOMETRY Euclidean space , the two-dimensional plane and three-dimensional space of Euclidean geometry as well as their higher dimensional generalizations Euclidean geometry , the study of the properties of Euclidean spaces Non-Euclidean geometry , systems of points, lines, and planes analogous to Euclidean geometry but without uniquely determined parallel lines Euclidean distance , the distance between pairs of points in Euclidean spaces Euclidean ball , the set of points within some fixed distance from a center point .

7. NUMBER THEORY Euclidean division , the division which produces a quotient and a remainder Euclidean algorithm , a method for finding greatest common divisors Extended Euclidean algorithm , a method for solving the Diophantine equation  ax  +  by  =  d  where  d  is the greatest common divisor of  a  and  b . Euclid's lemma : if a prime number divides a product of two numbers, then it divides at least one of those two numbers. Euclidean domain , a ring in which Euclidean division may be defined, which allows Euclid's lemma to be true and the Euclidean algorithm and the extended Euclidean algorithm to work .

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