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Updated: June 11, 2025


Under the sweet galvanism of her stroking hand the rabbit was presently so much better that when she offered him a blade of the neglected clover, the equilateral triangle of his queer mouth was immediately set in motion, the trefoil vanished, and when he was once more placed in the crib he went on with his meal as if nothing had happened.

The men behind Jupiter Equilateral are looking ahead. They know that someday Earthmen are going to have to go to the stars for colonies ... it won't be a matter of choice after a while, they'll have to go. Well, Jupiter Equilateral's terms are very simple. They're perfectly willing to let the United Nations control things on Earth. All they want is control of everything else.

If tennis is the word, I can put up nets fit to catch birds of paradise in. If the courts is to be chalked out in white, I can draw a line so straight that you could hardly keep yourself from erecting an equilateral triangle on it. I am honest when well watched, and I can wait at table equal to the Lord Mayor o' London's butler."

Nowhere, in short, in Venetian art up to this date is a lyrical treatment of the conventional altar-piece so fully realised as in the Castelfranco Madonna. Technically, Giorgione proclaims himself no less an innovator. The composition is on the lines of a perfect equilateral triangle, a scheme which Bellini and the older Venetian artists never adopted.

The real elements are two triangles, the rectangular isosceles which has but one form, and the most beautiful of the many forms of scalene, which is half of an equilateral triangle. By the combination of these triangles which exist in an infinite variety of sizes, the surfaces of the four elements are constructed.

Well, I thank God that my man of business still wears an equilateral cocked hat, has a house in the Old Town, is as much afraid of a horse as I am myself, plays at golf of a Saturday, goes to the kirk of a Sunday, and, in respect he has no partner, hath only his own folly to apologize for."

And in all the churches you see geometrical proportions. "Even the cross of the church is deduced from the figure by which Euclid constructed the equilateral triangle," The columns present the proportions of the Doric, as to diameter and height. The love of the true and beautiful meet. The natural and supernatural both appear. All parts symbolize the passion of Christ.

If a comet resembles a flute, then musicians are aimed at; when comets are in the less dignified parts of the constellations, they presage evil to immodest persons; if the head of a comet forms an equilateral triangle or a square with fixed stars, then it is time for mathematicians and men of science to tremble.

There is, in fact, no other symbol which is more various in its application or more generally diffused throughout the whole system of both the Spurious and the Pure Freemasonry. The equilateral triangle appears to have been adopted by nearly all the nations of antiquity as a symbol of the Deity.

From the triangle of which the hypotenuse is twice the lesser side the three first regular solids are formed first, the equilateral pyramid or tetrahedron; secondly, the octahedron; thirdly, the icosahedron; and from the isosceles triangle is formed the cube. Let us now assign the geometrical forms to their respective elements.

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