The $\ldots \ldots \ldots$ was an important manual for geometric structures in ancient India.

Boundaries of surfaces are:

Euclid's fifth postulate is:

Read the following statements which are taken as axioms:
$(i)$ If a transversal intersects two parallel lines,then corresponding angles are not necessarily equal.
$(ii)$ If a transversal intersects two parallel lines,then alternate interior angles are equal.
Is this system of axioms consistent? Justify your answer.

Does Euclid's fifth postulate imply the existence of parallel lines? Explain.

State whether the following statement is True or False. Justify your answer.
If the area of a triangle equals the area of a rectangle and the area of the rectangle equals that of a square,then the area of the triangle also equals the area of the square.