Question

what is difference between Algorithm and lemma given by Euclid's (Class 10)

Answer 1

I hope there is no difference between both ..
lemma is proven statement used for proving other statement
algorithm is a set of rules used for performing calculations

Answer 2

Algorithm is a list of well-defined steps for achieving a task and lemma (or theorem) is a proven statement that can be used for solving larger problems.

Lemma and theorem are fomally same.

Consider Pythagoras Theorem. It is having well defined steps to find the hypotenuse of a right triangle.

Let us now consider Euclid's division lemma.

For a pair of given positive integers ‘a’ and ‘b’, there exist unique integers ‘q’ and ‘r’ such that

a = bq + r, where, 0 less or equal than r less than b

HOPE IT WILL HELP U.