Base hit

a fair ball enabling the batter to reach base without the commission of an error in the field or the making of a force-out or fielder’s choice on another base runner.
Historical Examples

Chance was up first in the ninth and he pushed a base hit to right field.
Pitching in a Pinch Christy Mathewson

A hit which gains him a single base only is called a “base hit.”
Outdoor Sports and Games Claude H. Miller

Should he make more than one base hit, the player on the base advances as many bases as the batter has made.
School, Church, and Home Games George O. Draper

Schlei made a base hit on the next pitch and scored both men.
Pitching in a Pinch Christy Mathewson

A steal is made when a base-runner gets from one base to another without the assistance of a base hit or an error.
Base-Ball John M. Ward

He now occasionally makes a base hit if the opposing pitcher is very bad; and his nine wins more than one-half of its games.
Letters to His Children Theodore Roosevelt

His greatest fault was that he would not run out on a base hit, but on the contrary would walk to his base.
A Ball Player’s Career Adrian C. Anson

For instance, he never likes to hear a player hum a tune on the bench, because he thinks it will keep him from getting a base hit.
Pitching in a Pinch Christy Mathewson

Often I have passed a man to get a supposedly poor batter up and then had him bang out a base hit.
Pitching in a Pinch Christy Mathewson