By this, then, we will know both what we ought to subtract from the person who has the greater share and what we ought to add to him who has the less… - Aristotle

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By this, then, we will know both what we ought to subtract from the person who has the greater share and what we ought to add to him who has the lesser: we ought to add that which exceeds the middle term to the person with the lesser, and to subtract from the one who has the greatest that by which the middle term is exceeded. The lines αα′, ββ′, γγ′ beingequal to one another, subtract from αα′ the part αε and add it to γγ′ as part, so that the whole, δγγ′, exceeds εα′ by δγ and γζ, and hence ββ′ by δγ.18

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About Aristotle

Aristotle (Ἀριστοτέλης Aristotelēs; 384 BC – 322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the teacher of Theophrastus and founder of the Lyceum, the Peripatetic school of philosophy, and the Aristotelian tradition. His writings cover many subjects including physics, biology, zoology, metaphysics, logic, ethics, aesthetics, poetry, theatre, music, rhetoric, psychology, linguistics, economics, politics, meteorology, geology and government. Aristotle provided a complex synthesis of the various philosophies existing prior to him. It was above all from his teachings that the West inherited its intellectual lexicon, as well as problems and methods of inquiry. As a result, his philosophy has exerted a unique influence on almost every form of knowledge in the West and it continues to be a subject of contemporary philosophical discussion.

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Also Known As

Native Name: Ἀριστοτέλης
Alternative Names: the Stagirite Aristotelis Aristoteles
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Additional quotes by Aristotle

Denn wir suchten ja das menschliche Gute und die menschliche Glückseligkeit. Als menschliche Tugend bezeichnen wir nun nicht die des Körpers, sondern die der Seele. Und die Glückseligkeit nennen wir die Tätigkeit der Seele.

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