DEMONSTRATION

, a certain or convincing proof of some proposition: such as the demonstrations of the propositions in Euclid's Elements.

The method of demonstrating in mathematics, is the same with that of drawing conclusions from principles in logic. Indeed, the demonstrations of mathematicians are no other than series of enthymemes; every thing is concluded by force of syllogism, only omitting the premises, which either occur of their own accord, or are recollected by means of quotations.

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Entry taken from A Mathematical and Philosophical Dictionary, by Charles Hutton, 1796.

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