Question

Write the caulicle's 5th axioms so that it can be understand easily?​

Answer 1

$\huge\pink{\mathfrak{answer}}$

The Axioms of Euclidean Plane Geometry

• A straight line may be drawn between any two points.
• Any terminated straight line may be extended indefinitely.
• A circle may be drawn with any given point as center and any given radius.
• All right angles are equal.

Near the beginning of the first book of the Elements, Euclid gives five postulates (axioms) for plane geometry, stated in terms of constructions (as translated by Thomas Heath): Let the following be postulated: To draw a straight line from any point to any point.

AXIOMS

• Things which are equal to the same thing are also equal to one another.
• If equals be added to equals, the wholes are equal.
• If equals be subtracted from equals, the remainders are equal.
• Things which coincide with one another are equal to one another.
• The whole is greater than the part.

Axioms and postulates are essentially the same thing: mathematical truths that are accepted without proof. ... Axioms are generally statements made about real numbers. Sometimes they are called algebraic postulates.

Answer 2

$\huge\pink{\mathfrak{answer}}$

The Axioms of Euclidean Plane Geometry

• A straight line may be drawn between any two points.
• Any terminated straight line may be extended indefinitely.
• A circle may be drawn with any given point as center and any given radius.
• All right angles are equal.

Near the beginning of the first book of the Elements, Euclid gives five postulates (axioms) for plane geometry, stated in terms of constructions (as translated by Thomas Heath): Let the following be postulated: To draw a straight line from any point to any point.

AXIOMS

• Things which are equal to the same thing are also equal to one another.
• If equals be added to equals, the wholes are equal.
• If equals be subtracted from equals, the remainders are equal.
• Things which coincide with one another are equal to one another.
• The whole is greater than the part.

Axioms and postulates are essentially the same thing: mathematical truths that are accepted without proof. ... Axioms are generally statements made about real numbers. Sometimes they are called algebraic postulates.