Coping the quote
13+ quotes from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

Quotes from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

415 pages

Rating: (419 votes)


“Geometry is 'number in space', music is 'number in time'.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology


“In a seven-tone scale the eighth note is the octave, twice the pitch of the first note, and so signals the movement to a new level. This may be why, in religious symbolism, the eighth step is often associated with spiritual evolution or salvation.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology


“Islamic patterns speak of infinity and the omnipresent center.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology


“Ludwig Schlafi (1814-1895) proved that there are six regular four-dimensional polytopes (generalisations of polyhedra): the 5-cell made of tetrahedra, the 8-cell or tesseract made of cubes, the 16-cell made of tetrahedra, the 24-cell made of octahedra, the 120-cell made of dodecahedra, and the 600-cell made of tetrahedra.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology


“Many familiar objects from cassettes to credit cards and Georgian front doors are Phi (1.618...) rectangles.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology


“When one circle is drawn over another like this so that they pass through each others' centers, then an important almond shape, the vesica piscis, literally 'fish's bladder' is formed. It is one of the first things that circles can do. Christ is often depicted inside a vesica.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology


“The dodecagon is also made from six squares and six equilateral triangles fitted around a hexagon”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology


“Twelve is the number which fits around one in three dimensions in the same way that six fits around one in two dimensions. The New Testament is a story of a teacher surrounded by twelve disciples.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology


“Ten is formed from two pentagons and ten life-invoking pentagons sit perfectly arpund a decagon, and DNA, appropriately as the key to the reproduction of life, has ten steps for each turn of its double helix, so appears in cross-section as a tenfold rosette.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology


“Eleven is important as the first number that allows us to begin to comprehend the measure of a circle. This is because, for practical purposes, a circle measuring seven across will measure eleven halfway around.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology


“Venus draws a fivefold pattern around Earth every eight years allowing us to draw an amazing diagram. In those eight years there are almost exactly 99 full moons, nine elevens, the number of names or reflections of Allah in Islam. Jupiter draws a beautiful elevenfold pattern around Earth.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology


“The ancient Maya were superb stargazers. Their calendar synchronized not just the Sun and Moon, byt also Venus and Mars. They worked out that 81 (or 3X3X3X3) full moons occur exactly every 2,392 (or 8X13X23) days, an astonishingly accurate gearing.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology


“The ancients were obsessed with measures, and the number eleven is central in their metrological scheme. Shown opposite is the extraordinary fact that the size of the Moon relates to the size of the Earth as does three to eleven. What this means is that if we draw down the Moon to the Earth, as shown, then a heavenly circle through the moon will have a circumference equal to the perimeter of a square around the Earth. This is called 'squaring the circle'. Quite how the old druids worked this out we may never know, but they clearly did, for the Moon and the Earth are best measured in miles, as shown. A double rainbow also magically squares the circle.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology


Popular quotes

“If you think you are emancipated, you might consider the idea of tasting your own menstrual blood - if it makes you sick, you've got a long way to go, baby.”
― Germaine Greer, quote from The Female Eunuch


“word in block capitals, and when he wasn’t certain of the spelling he put down the possible alternative letters below; he wanted to be sure of any translation the first time. “My, you do work late,” whispered a voice from behind him. Adam spun round, feeling like a burglar who had been”
― Jeffrey Archer, quote from A Matter of Honor


“What are you doing out there?" Lily hissed.
"Would you believe me if I said I was just passing by?"
She groaned. "You are a terrible liar, Calder White.”
― Anne Greenwood Brown, quote from Lies Beneath


“...an animal, at the end of a few months, is what it will be all its life; and its species, at the end of a thousand years, is what it was in the first of those thousand years. Why is man alone subject to becoming an imbecile?”
― Jean-Jacques Rousseau, quote from Discourse on the Origin of Inequality


“Benjamin Franklin put it well: “Anger is never without a reason, but seldom a good one.”
― Daniel Goleman, quote from Emotional Intelligence: Why It Can Matter More Than IQ


Interesting books

The Summer Book
(11.2K)
The Summer Book
by Tove Jansson
City of God
(8.7K)
City of God
by Augustine of Hippo
The Postmortal
(8.5K)
The Postmortal
by Drew Magary
Parzival
(2.6K)
Parzival
by Wolfram von Eschenbach
All My Sons
(17.8K)
All My Sons
by Arthur Miller
A Trick of the Light
(28.9K)
A Trick of the Light
by Louise Penny

About BookQuoters

BookQuoters is a community of passionate readers who enjoy sharing the most meaningful, memorable and interesting quotes from great books. As the world communicates more and more via texts, memes and sound bytes, short but profound quotes from books have become more relevant and important. For some of us a quote becomes a mantra, a goal or a philosophy by which we live. For all of us, quotes are a great way to remember a book and to carry with us the author’s best ideas.

We thoughtfully gather quotes from our favorite books, both classic and current, and choose the ones that are most thought-provoking. Each quote represents a book that is interesting, well written and has potential to enhance the reader’s life. We also accept submissions from our visitors and will select the quotes we feel are most appealing to the BookQuoters community.

Founded in 2018, BookQuoters has quickly become a large and vibrant community of people who share an affinity for books. Books are seen by some as a throwback to a previous world; conversely, gleaning the main ideas of a book via a quote or a quick summary is typical of the Information Age but is a habit disdained by some diehard readers. We feel that we have the best of both worlds at BookQuoters; we read books cover-to-cover but offer you some of the highlights. We hope you’ll join us.