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No, a negation is not another term for an axiom. A negation is the logical operation that expresses "not" in a statement, while an axiom is a self-evident or universally accepted truth that serves as a starting point for reasoning in a mathematical system or a logical argument.
Axiom.
Another name for the Playfair Axiom is the Euclid's Parallel Postulate. It states that given a line and a point not on that line, there is exactly one line parallel to the given line passing through the given point.
The term you are looking for is "physical equations." These equations describe the relationships between quantities in the physical world, often derived from fundamental principles of physics.
Another term for fingerprint is 'dactylogram'.
Another term for body fluid is bodily fluid.