Congruence Quotes 

The Eudemian Summary ascribes to Thales the invention of the theorems on the equality of vertical angles, the equality of the angles at the base of an isosceles triangle, the bisection of a circle by any diameter, and the congruence of two triangles having a side and the two adjacent angles equal respectively. The last theorem he applied to the measurement of the distances of ships from the shore. Thus Thales was the first to apply theoretical geometry to practical uses.
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More Congruence Quotes 

Modern man, seeking a middle position in the evaluation of sense impression and thought, can, following Plato , interpret the process of understanding nature as a correspondence, that is, a coming into congruence of pre-existing images of the human psyche with external objects and their behaviour. Modern man, of course, unlike Plato , looks on the pre-existent original images also as not invariable, but as relative to the development of a conscious point of view, so that the word "dialectic" which Plato is fond of using may be applied to the process of development of human knowledge.

wolfgang pauli

— Writings on Physics and Philosophy (1994) 16. "Science and Western Thought" p. 142.

Tags: Modern, man, seeking, middle, position, evaluation, sense, impression, thought

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Modern man, seeking a middle position in the evaluation of sense impression and thought, can, following Plato, interpret the process of understanding nature as a correspondence, that is, a coming into congruence of pre-existing images of the human psyche with external objects and their behaviour. Modern man, of course, unlike Plato, looks on the pre-existent original images also as not invariable, but as relative to the development of a conscious point of view, so that the word "dialectic" which Plato is fond of using may be applied to the process of development of human knowledge.

wolfgang pauli

— Writings on Physics and Philosophy (1994) 16. "Science and Western Thought" p. 142.

Tags: Modern, man, seeking, middle, position, evaluation, sense, impression, thought

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Once a definition of congruence is given, the choice of geometry is no longer in our hands; rather, the geometry is now an empirical fact.


— Hans Reichenbach, in 'The Philosophy of Space and Time (1928), as translated by Maria Reichenbach (1957), § 27

Tags: Once, definition, given, choice, geometry, longer, our, hands, now

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