"Right-angled triangle" Quotes from Famous Books
... recollection of ideas our faculty of reason depends, as it enables us to acquire an idea of the dissimilitude of any two ideas. Thus if you voluntarily produce the idea of a right-angled triangle, and then of a square; and after having excited these ideas repeatedly, you excite the idea of their difference, which is that of another right-angled triangle inverted over the former; you are said to reason upon this subject, or ... — Zoonomia, Vol. I - Or, the Laws of Organic Life • Erasmus Darwin
... among the Egyptians was the right-angled triangle, of which the perpendicular side represented Osiris, or the male principle; the base, Isis, or the female principle; and the hypothenuse, their offspring, Horus, or the world emanating from the union ... — The Symbolism of Freemasonry • Albert G. Mackey
... in its bearings on the climate of western Europe, the whole subject of the climate of England is viewed from a new and interesting standpoint. In arithmetic, where the sum of the squares of the two sides of a right-angled triangle is illustrated by an example and later on in geometry the same proposition is taken up in a different way and proved as a universal theorem, new and interesting light is thrown upon an old problem of arithmetic. In United States history, ... — The Elements of General Method - Based on the Principles of Herbart • Charles A. McMurry
... sun and moon; and an eclipse of the sun to the interposition of the moon between the sun and earth. [Footnote: Sir G. G. Lewis, Hist. of Astron., p. 81.] He also determined the ratio of the sun's diameter to its apparent orbit. As he first solved the problem of inscribing a right-angled triangle in a circle, [Footnote: Diog. Laert, i. 24.] he is the founder of geometrical science in Greece. He left, however, nothing to writing, hence all accounts of him are confused. It is to be doubted whether in fact he made the discoveries attributed to him. His speculations, ... — The Old Roman World • John Lord
... the forty-seventh proposition with Mr. Battersby, a young Cambridge man who was curate to Mr. Philpott and who took us on in mathematics. The realisation of the absolute, unalterable fact that in every right-angled triangle the square of the side subtending it is equal to the squares of the sides containing it, filled me with the kind of joy and glory that one feels on reading for the first time Keats's Ode to a Nightingale or one of the great passages in Shakespeare. I saw the genius of delight unfold his purple ... — The Adventure of Living • John St. Loe Strachey |