This rightly-rayed crater on the farside of the moon was photographed by Apollo 8 on December 24, 1968.The imaged area is near the subsolar point, where the sun was directly overhead as seen from the Apollo 8 spacecraft.
When a bank account lists someone as an authorized signer, that individual has the legal authority to spend or commit funds from the account. Corporations exist as legal entities, wholly and distinctly separate from their owners. Therefore, a corporation owns the bank account established in its name.
When one person gives another permission to sign a legally significant document on his behalf, the signer is essentially acting as an authorized representative for the other person. When your brother asked you to sign the lease on his behalf, he was, in effect, appointing you as his agent for that limited purpose.