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**Introduction to Euclid's Geometry**

The word '

**Geometry'**is derived from the Greek words 'Geo' means 'Earth' and 'Metron' means to 'Measure'.
Around 325 BC

**Euclid**, a teacher of mathematics at Alexandria in Egypt, collected all the known work and arranged it in his famous treatise, called 'Elements'.
He divided the 'Elements' into thirteen chapters, each called a book. These books influenced the whole world's understanding of geometry for generations to come.

**1**: A

**point**is that which has

**no part**.

**2**: A

**line**is

**breadthless**

**length**.

**3**: The

**ends of a line are points**.

**4**: A

**straight line**is a line which lies evenly with the points on itself.

**5**: A

**surface**is that which has length and breadth only.

**6**: The

**edges of a surface**are lines.

**7**: A

**plane surface**is a surface which lies evenly with the straight lines on itself.

**Euclid's Postulates**:

**1:**A

**line**can be drawn from any point to any point.

**2:**A terminated line can be produced indefinitely.

**3:**It is possible to describe a

**circle**with any

**centre**any distance.

**4:**All

**right angles**are equal to one another.

**5:**If a

**straight line falling**on two straight lines makes the

**interior angles**on the same side of it taken together less than

**two right angles**, then the two straight lines, if produced indefinitely, meet on that side on which the

**sum of angles is less than two right angles**.

**Euclid's Axioms**:

**1:**Things which are equal to the same things are also equal to one another.

**2:**If equals are added to equals, then the wholes are equal.

**3:**If equals are subtracted from equals, then the remainders are equal.

**4:**Things which coincide with one another are equal to one another.

**5:**The whole is greater than the part.

**6 :**Things which are double of the same things are equal to one another.

**7 :**Things which are halves of the same things are equal to one another.

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