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Posted on May 12, 2023 by 3

Thermodynamics – Explaining the Triple Point

The triple point of a substance is the temperature and pressure at which the three phases (gas, liquid, and solid) of that substance coexist in thermodynamic equilibrium. As a result, at the triple point of water, the entropy is constant. Therefore, the entropy is constant at the triple point of water. The triple point of water is used to define the Kelvin(K), the base unit of thermodynamic temperature in the International System of Units (SI).

The third law of thermodynamics states that the entropy of a system approaches a constant value as the temperature approaches absolute zero. The entropy of a system at absolute zero is typically zero, and in all cases is determined only by the number of different ground states it has.

The single combination of pressure and temperature at which liquid water, solid ice, and water vapor can coexist in a stable equilibrium occurs at exactly 273.1600 K (0.0100 °C; 32.0180 °F) and a partial vapor pressure of 611.657 pascals (6.11657 mbar; 0.00603659 atm).

Posted on May 11, 2023May 11, 2023 by 3

Heron’s formula | What is the hidden meaning of 1 + 2 + 3 = 1 x 2 x 3

Today’s video is about Heron’s famous formula and Brahmagupta’s and Bretschneider’s extensions of this formula and what these formulas have to do with that curious identity 1+2+3=1x2x3. To see more amazing videos go to Mathologer.

Heron’s Formula

Source: https://www.youtube.com/@Mathologer

Posted on April 28, 2023April 28, 2023 by 3

Three rail kicks | pool

As with the one-rail and two-rail systems, the three-rail (or more) system works very similar. Use a known reference line, then use a spot in the distance for any cue ball position that can hit the same starting rail. For 3+ rails the distance to the spot becomes less and less of an importance.

You can pick a spot varying many feet and still have good accuracy on the shot. As a rule of thumb, think one-table away for one-rail kicks, two-tables away for two-rail kicks, and three or more tables away for 3+ rail kicks.

Normally this shot would come across as very difficult, but with a little knowledge we can make this a high percentage shot.

Three rail kick

Billiards vs pool

‘Billiards’ and ‘pool’ are two words that are often interchanged because they refer to games played on similar-looking tables with a cue and balls. However, what many people may not realize is that they actually have different meanings—and some striking differences in table features!

In its original use, billiards refers to any type of cue sport, including carom billiards, pool, and snooker. On the other hand, pool specifically refers to a game played on a pool table.

Traditionally, billiards tables do not have pockets. As such, the various games are referred to as carom billiards, or pocketless billiards. In contrast, pool tables (or pocket billiards tables) have six pockets, including pockets in each corner and one in the middle of each long side.