# data[].attributes.headline
difference between Euclidean and non-Euclidean Geometry.

# data[].attributes.subject
difference between Euclidean and non-Euclidean Geometry.

# data[].attributes.body
Euclidean geometry deals with figures of flat surfaces but all other figures which do not fall under this category comes under non-Euclidean geometry. For example, curved shape or spherical shape is a part of non-Euclidean geometry.

# data[].attributes.body
The excavations at Harappa and Mohenjo-Daro depict the extremely well-planned towns of Indus Valley Civilization (about 3300-1300 BC). The flawless construction of Pyramids by the Egyptians is yet another example of extensive use of geometrical techniques used by the people back then. In India, the Sulba Sutras, textbooks on Geometry depict that the Indian Vedic Period had a tradition of Geometry.

# data[].attributes.body
“If a straight line falling on two other 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 the side on which the sum of angles is less than two right angles.”

# data[].attributes.body
“All right angles are equal to one another.”

# data[].attributes.body
“A circle can be drawn with any centre and any radius.”

# data[].attributes.body
“A terminated line can be further produced indefinitely.”

# data[].attributes.body
“A straight line can be drawn from anyone point to another point.”

# data[].attributes.body
1. Things which are equal to the same thing are equal to one another.

2. If equals are added to equals, the wholes are equal.

3. If equals are subtracted from equals, 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

# data[].attributes.body
It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines.

# data[].attributes.body
The Greek mathematician Euclid born around 300BC was also known as the father of the geometry.