Archimēdēs in Aquā
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Syracuse, about 250 BC. King Hiero has given a craftsman a weight of pure gold to make a crown for the gods. The crown is beautiful and weighs exactly right — but the king suspects that the craftsman has kept some of the gold and mixed in cheaper silver. He asks Archimedes to find out without damaging the crown.
Archimedes thinks about it for days. Then, one evening, he climbs into a full bath and watches the water spill over the sides. Seven puzzles stand between you and his discovery. Solve them all, and one last word is what he shouted.
Crossword — the palace, the craftsman and the bath, in Latin from Book 2.
Anagrams — unscramble seven things Archimedes does on the day of his discovery.
Cipher — decode a message in Latin, then answer the riddle it asks.
Matching — two verbs, invenit ("finds") and currit ("runs"), in the imperfect, perfect and pluperfect.
Picture Count — reassemble the palace, then count what you see.
Odd One Out — find the word that doesn't belong in each row to build the story, then answer questions about it.
Final Rebus — one clue from every lock. Their first letters spell the final word.
Every answer box checks itself. Spelling and capitals are forgiving, and macrons are never needed.
Sixteen words from the palace and the bath. Every clue gives the English meaning; you supply the Latin. Fill the grid — every crossing letter must agree both ways. Five cells are marked in red: once the grid is solved, their letters unscramble into one more word.
The grid is correct. Unscramble the five red letters:
Seven things Archimedes does on the day of his discovery. Unscramble each one.
That's the end of the free taster. The other 5 locks of this room are for Locked Lessons members.
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The password was:
Invēnī — I have found it! That is what Archimedes' Greek cry heurēka means. The crown pushed out more water than the same weight of pure gold, so it could not be pure gold: the craftsman was a thief. Archimedes was so excited that he ran home through the streets without stopping to dress.