The 'Quadrant' was an English company whose full name was the Quadrant Cycle Company based in Birmingham that made a few cars were made from 1905 to 1906 and motor cycles from 1900 to 1927.
The company exhibited a car
chassis with a four-speed Lloyd gearbox of the style known as "crossed rollers"; this allowed
direct drive at all speeds. Engines were 14/16 or 20/22 hp made by White and Poppe.
Reference
David Burgess Wise, ''The New Illustrated Encyclopedia of Automobiles''.