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Updated: May 12, 2025
In the energy of delivery, now the leg of wood would start up with an egotistical flourish, and describe, with the leg of flesh, a right-angled triangle, and then down would go the peg, and up the leg, with the toe well pointed, whilst he greeted the buckle on his foot with an admiring glance.
The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides, because he made it so. The circumference of a circle is approximately 3.1416 times the diameter because he made it so.
The four right-angled turns made him sick and dizzy again, but he came out with his jaw set grimly. There was good reason for Tommy's interest in Jacaro. Besides sides three bullet wounds, Tommy owed Jacaro something for stealing the first model Tube. He emerged in the laboratory on his hands and knees as the size of the Tube made necessary.
He led the way up the cramped white-shell walk with a ceremonial precision that gave the caller time to notice the garden. It was hardly an empire. It lay on either side in two right-angled figures, each, say, of sixty by fourteen feet, every foot repeating florally the smile of the child. The rigid beds were curbed with brick water-painted as red as Cupid's gums.
They worshipped Osiris, Isis, and Horus under the form of a right-angled triangle, in which Horus was the side opposite to the right angle. The favourite part of their mythology was the lamentation of Isis for the death of her husband Osiris.
The following sentence, for instance, is devoid of style: "The square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two sides": for, although by its content it conveys to the intellect a meaning which is entirely clear and absolutely definite, it does not by its sound convey to the senses a suggestion which is cognate.
Here were built and placed a row of stone-filled log cribs in a double row down stream to define the channel and to hold the drive in it and away from the shallows near either bank. The profile of these cribs was that of a right-angled triangle, the slanting side up stream. Booms chained between them helped deflect the drive from the shoals.
Peregrine entered upon this branch of learning with all that warmth of application which boys commonly yield on the first change of study; but he had scarce advanced beyond the Pons Asinorum, when his ardour abated; the test of truth by demonstration did not elevate him to those transports of joy with which his preceptor had regaled his expectation; and before he arrived at the forty-seventh proposition, he began to yawn drearily, make abundance of wry faces, and thought himself but indifferently paid for his attention, when he shared the vast discovery of Pythagoras, and understood that the square of the hypotenuse was equal to the squares of the other two sides of a right-angled triangle.
And it is reported that Pythagoras, upon the discovery of this problem, offered a sacrifice to the gods; for this is a much more exquisite theorem than that which lays down, that the square of the hypothenuse in a right-angled triangle is equal to the squares of the two sides. Right, said Diogenianus, but what is this to the present question?
There was the right-angled triangle, its lines reproduced in unbroken brilliancy, and there were the added lines used in the familiar demonstration, broken at intervals to indicate their use. The famous pons asinorum had become the bridge between two worlds. Corbett could scarcely speak as yet.
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