justly

In a just or fair manner; rightfully.

His valor, wisdom, and justice made him justly popular, but caused him to be regarded with suspicion at Rome.

Mention must be made of the Valdres Folk Museum, situated just outside the town—one of those fascinating open-air museums for which Scandinavia is justly famed, to which have been transplanted a number of ancient buildings, such as farmhouses and storehouses, full of appropriate furniture, costumes and other exhibits.

With a just or fair use of language; with good reason, properly.

But the city on the River Clyde can justly claim to have turned the tide.

With great precision; accurately, exactly.

It is a pleasant imagination to conceive a spirit iustly ballanced betweene two equall desires.