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RIDING, Eng. law. An ascertained district, part of a county. This term has the same meaning in Yorkshire which division has in Lincolnshire. 4 T. R. 459.

A Law Dictionary, Adapted to the Constitution and Laws of the United States. By John Bouvier. Published 1856.
References in classic literature ?
"Not I!" Somerfield answered, gorgeous in pink coat and riding breeches.
"Perhaps I am not that according to your point of view, but when it comes to a question or riding, why, that is easy enough."
Bransome, who was also in riding clothes, although he was not taking part in the steeplechases himself, glanced at the clock.
"Your honor, the generals!" said the sergeant, riding up to Rostov.
Rostov, still looking round toward the fires and the shouts, rode with the sergeant to meet some mounted men who were riding along the line.
A large horse for a riding animal, he was none too large for a big man like Daylight.
Daylight was delighted; the purchase was immediately made; and Bob, with riding gear and personal equipment, was despatched across the bay forthwith to take up his quarters in the stables of the Oakland Riding Academy.
That she was a lady of quality was evidenced not alone by the richness of her riding apparel and the trappings of her palfrey, but as well in her noble and haughty demeanor and the proud expression of her beautiful face.
"I do not take pleasure in riding with a suit of armor; I would see that there is a man within."
Besides, those children are under my charge when they are riding; I tell you they are intrusted to me.
The conception of riding on horseback for a lady was, in Darya Alexandrovna's mind, associated with ideas of youthful flirtation and frivolity, which, in her opinion, was unbecoming in Anna's position.
On reaching the carriage she jumped off without assistance, and holding up her riding habit, she ran up to greet Dolly.