1. The problem asks to identify which statements about David Hilbert are NOT true. 2. Let's analyze each statement: - "He developed Hilbert's axioms." This is true; Hilbert formulated a set of axioms for geometry. - "He was a German mathematician." This is true; Hilbert was indeed German. - "He invented the point." This is false; the concept of a point existed long before Hilbert. - "He wrote a biography on Euclid." This is false; Hilbert did not write a biography on Euclid. - "Hilbert's improvements to geometry are still used in textbooks today." This is true; his axioms and work influence modern geometry. 3. Therefore, the NOT true statements are: - He invented the point. - He wrote a biography on Euclid. Final answer: The statements "He invented the point" and "He wrote a biography on Euclid" are NOT true about David Hilbert.