Davis quadrant and mechanical clock: what they have in common

1. Step 1. Davis quadrant — uses — Trigonometry. The Sun’s altitude is found from the angle of a shadow.
2. Step 2. Trigonometry — evolved from — Euclidean geometry. A development of geometry.
3. Step 3. Euclidean geometry — is used in — Sundial. The scale is marked by the angle of the shadow.
4. Step 4. Sundial — works like — Water clock (clepsydra). Two ancient ways to measure time: by a shadow and by flowing water.
5. Step 5. Water clock (clepsydra) — evolved into — Mechanical clock. Mechanical clocks replaced water clocks, swapping the flow of water for an escapement.

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