Master Cylinder Bore?

Yes, gives you more leverage by not having to push so much fluid at one time.
Gives just a little bit longer of a stroke on the pedal.

Like the Lever and The Fulcrum

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The closer you put the Fulcrum (small rock) to the Big Rock, the less effort it takes on your part to do the work.

The Lever stroke increases more as you move the fulcrum closer to the big rock.

Same theory with your manual brake system.
As a Carpenter, i was doing stuff back in the day, still do, with bottle jacks and 2x4s removing bearing walls and opening up 2nd stories w/ roof loads. when i first started framing, we were using string lines and water levels. However my pointy little narrow mind, is having a hard time directing leverage in a location and = that to volume and pressure of a brake hydraulic system! Lol duh