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Francis Garden - 1878 - Table of contents

Diccionario filosófico
Complete edition

Diccionario de Filosofía
Brief definition of the most important concepts of philosophy.


A Dictionary of English Philosophical Terms Francis Garden

Vocabulary of Philosophy, Psychological, Ethical, Metaphysical
William Fleming

Biografías y semblanzas Biographical references and lives of philosophers

Brief introduction to the thought of Ortega y Gasset

History of Philosophy Summaries

Historia de la Filosofía
Explanation of the thought of the great philosophers; summaries, exercises...

Historia de la Filosofía
Digital edition of the History of Philosophy by Jaime Balmes

Historia de la Filosofía
Digital edition of the History of Philosophy by Zeferino González

Vidas, opiniones y sentencias de los filósofos más ilustres
Complete digital edition of the work of Diogenes Laertius

Compendio de las vidas de los filósofos antiguos

A brief history of Greek Philosophy
B. C. Burt


A Short History of Philosophy





Corollary. This term is seldom used but in mathematics. Its Greek equivalent is πὁρισμα. The origin of the Latin term, which means a little garland, in this sense is not very apparent. Anyhow the meaning is familiar to everyone acquainted with Euclid—so familiar that one cannot but wonder at Johnson's strange definition, "Corollary — A conclusion, whether following necessarily from the premisses or not."


It really means a proposition necessarily resulting from a previous demonstration, distinct from the conclusion of that, but yet to which that is applicable, and no intermediate step requisite. Thus that every equilateral triangle must be equiangular, is a corollary from the conclusion of Prop. v. b. I. of Euclid. That is, that the angles at the base of an isosceles triangle are equal, and any two angles of an equilateral are angles at the base of an isosceles triangle.

The word corollary seems to have been formerly used in unscientific language in the mere senses of redundancy or supplement. Thus Shakespeare in the 'Tempest':
       " Now come, my Ariel, bring a corollary
         Rather than want a spirit."

And Dryden in the conclusion of the Preface to his Fables, "as a corollary to this preface, in which I have done justice to others, I owe somewhat to myself."



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