The triple scale hydrometer is used to check for sugar content of the beer, as well as to define the potential alcohol content of the fermented beer, as well as to check the finished beer alcohol content, based on a simple formula. See: Calculate Alcohol content of fermentation.

A hydrometer is an instrument whose function is based on
Archimedes principle.
This principle states that a body (the hydrometer) immersed
in a fluid is buoyed up by a force equal to the weight of the displaced fluid.
The hydrometer measures the weight of the liquid displaced by the volume of the hydrometer.
Specific Gravity is a dimensionless unit defined as the ratio of density of the material to the density of water.
Water =1 g/cm3
Specific Gravity = Density g/cm3
1 g/cm3
The greater the density, the tighter or closer the molecules are packed inside the substance. Therefore, the greater the density / specific gravity of a liquid the higher a hydrometer will be buoyed by it. Sugar Adds waight to water therefore the numbers will be POSITIVE with respect to water
If you check the periodic table, you can figure out the molecular weights of these two molecules.
During the fermentation process most of the carbon dioxide that forms from the reaction bubbles out of the solution and leaves the fermentation vessel by way of a vent.
You can say that all of it leaves, because the amount the remains in the beer is very small compared to the amount that leaves.
If you look at the equation for the reaction you see that each glucose is split into two ethyl alcohol molecules and two carbon dioxide molecules.
That means for each carbon dioxide molecule that leaves the fermentation vessel, one ethyl alcohol molecule must be formed inside the vessel.
*The ABV system must be used to state the alcohol content on bottles.

The Tralle scale indicates directly in percent ethyl alcohol by weight in water from 0 to 100% The Proof scale indicates the proof of alcohol from 0 to 200, at 60°F. Brix & Balding Specific gravity hydrometers measure the ratio of the density of a sample compared to the density of pure water at the same temperature. The specified temperature for these types of hydrometers is 60/60°F (15.6/15.6°C). Twaddle Tralle and Proof Scale American Petroleum Institute & ASTM The AP1 scale was selected in 1921 by the American Petroleum Institute; the United States Bureau of Mines; and the National Institute of Standards and Technology as the standard for petroleum products in the United States. Baumé Scale The Baumé scale is used for liquids heavier than water such as syrups. The scale was originally proposed by Antoine Baumé, a French chemist, in 1768. The scale has been widely accepted because of the simplicity of the numerals which represent liquid specific gravity. The Brix scale is used almost exclusively by the sugar industry. Degrees on the scale are equal to the percentage of sucrose by weight at a standard temperature.
The Balling scale is used mainly in the brewing industry to estimate percent wort but is also used to indicate percent by weight of either dissolved solids or sugar liquors. The hydrometers are graduated in percent weight at 14° Réaumur (17.5°C).Specific Gravity The Twaddle scale is the result of attempting to simplify the measurement of industrial liquids heavier than water. The range of specific gravity from 1.000 to 2.000 is divided into 200 equal parts. Thus 1° Twaddle equals 0.005 specific gravity.