Eques, plural equites, was the regular Latin word for a horseman or cavalryman.
From the en.wikipedia.org
One of the first artillery rounds wounded a Confederate cavalryman in the leg.
From the post-gazette.com
Ten to fifteen heads were fastened to the saddle of every Muslim cavalryman.
From the en.wikipedia.org
Its style shows that it was originally the property of a Roman cavalryman.
From the independent.co.uk
Nearby is a full-sized Mughal cavalryman, his mount covered nose-to-tail in ornate armour.
From the economist.com
Richard Bernard Barsaleau inherited his love of horses from his father, a U.S. cavalryman.
From the sacbee.com
A heavy cavalryman of Alexander the Great's army, possibly a Thessalian.
From the en.wikipedia.org
They sometimes could fight on horseback, like a dragoon or a cavalryman.
From the en.wikipedia.org
Charles continues to work as a cavalryman in the Old West, and continues to romance Willa.
From the en.wikipedia.org
More examples
A soldier in a motorized army unit
A soldier mounted on horseback; "a cavalryman always takes good care of his mount"
Cavalry (from French cavalerie, cf. cheval 'horse'), were soldiers or warriors who fought mounted on horseback. Cavalry were historically the third oldest (after infantry and chariotry) and the most mobile of the combat arms. ...
A soldier of a cavalry regiment, i.e. on horseback or in armored vehicles.