Triangle Quotes (7 quotes)

Astronomy was thus the cradle of the natural sciences and the starting point of geometrical theories. The stars themselves gave rise to the concept of a point; triangles, quadrangles and other geometrical figures appeared in the constellations; the circle was realized by the disc of the sun and the moon. Thus in an essentially intuitive fashion the elements of geometrical thinking came into existence.

I just looked up at a fine twinkling star and thought that a voyager whom I know, now many a days sail from this coast, might possibly be looking up at that same star with me. The stars are the apexes of what triangles!

In right-angled triangles the square on the side subtending the right angle is equal to the squares on the sides containing the right angle.

— Euclid

Its immediate significance was as a currency, for it closed the triangle linking spirits, slaves, and sugar. Rum could be used to buy slaves, with which to produce sugar, the leftovers of which could be made into rum to buy more slaves, and so on and on.

One of the grandest figures that ever frequented Eastern Yorkshire was William Smith, the distinguished Father of English Geology. My boyish reminiscence of the old engineer, as he sketched a triangle on the flags of our yard, and taught me how to measure it, is very vivid. The drab knee-breeches and grey worsted stockings, the deep waistcoat, with its pockets well furnished with snuffof which ample quantities continually disappeared within the finely chiselled nostriland the dark coat with its rounded outline and somewhat quakerish cut, are all clearly present to my memory.

The Hypotenuse has a square on,

which is equal Pythagoras instructed,

to the sum of the squares on the other two sides

If a triangle is cleverly constructed.

which is equal Pythagoras instructed,

to the sum of the squares on the other two sides

If a triangle is cleverly constructed.

The smallest particles of matter were said [by Plato] to be right-angled triangles which, after combining in pairs, ... joined together into the regular bodies of solid geometry; cubes, tetrahedrons, octahedrons and icosahedrons. These four bodies were said to be the building blocks of the four elements, earth, fire, air and water ... [The] whole thing seemed to be wild speculation. ... Even so, I was enthralled by the idea that the smallest particles of matter must reduce to some mathematical form ... The most important result of it all, perhaps, was the conviction that, in order to interpret the material world we need to know something about its smallest parts.

*[Recalling how as a teenager at school, he found Plato's*Timaeus*to be a memorable poetic and beautiful view of atoms.]*