Consider the two ‘postulates’ given below:(i) Given any two distin

1.	Consider the two ‘postulates’ given below:(i) Given any two distinct points A and B, there exists a third point C, which is between A and B.(ii) There exists at least three points that are not on the same line.Do these postulates contain any undefined terms? Are these postulates consistent?Do they follow from Euclid’s postulates? Explain.
Answer» Consider the two ‘postulates’ given below: (i) Given any two distinct points A and B, there exists a third point C, which is between A and B. (ii) There exists at least three points that are not on the same line. Do these postulates contain any undefined terms? Are these postulates consistent? Do they follow from Euclid’s postulates? Explain.

Consider the two ‘postulates’ given below:(i) Given any two distinct points A and B, there exists a third point C, which is between A and B.(ii) There exists at least three points that are not on the same line.Do these postulates contain any undefined terms? Are these postulates consistent?Do they follow from Euclid’s postulates? Explain.

Answer»

Consider the two ‘postulates’ given below:

(i) Given any two distinct points A and B, there exists a third point C, which is between A and B.

(ii) There exists at least three points that are not on the same line.

Do these postulates contain any undefined terms? Are these postulates consistent?

Do they follow from Euclid’s postulates? Explain.