What are some similarities between heat and temperature?

By definition, we have:

Heat:

Energy that is manifested by an increase in temperature and comes from the transformation of other energies; is originated by the vibratory movements of the atoms and the molecules that form the bodies

Temperature:

The temperature is a magnitude referred to the common notions of heat measurable by a thermometer. In physics, it is defined as a scalar quantity related to the internal energy of a thermodynamic system

Some similarities are:

1) The more heat there is, the higher the temperature.

2) The less heat there is, the lower the temperature.

3) Mathematically the heat and the temperature difference between two points are proportional.

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