Recognize that scientific progress comes from combining observation, geometry, arithmetic, and imagination.

Remain intellectually bold: challenge older views when evidence and calculation point to better conclusions.

Accept that human understanding is improved by correction and refinement over time.

Respect the power of trigonometry and numerical methods as essential tools for scientific discovery.

Connect abstract theory with real-world usefulness, especially in astronomy, calendrics, and measurement.

Work diligently and methodically, since scientific insight comes from sustained effort and careful computation.