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

“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

“it is what you are striving for which is important, not how you appear.”
― Michael Newton, quote from Journey of Souls: Case Studies of Life Between Lives

“For instance, some evangelicals have turned Proverbs 31 into a woman’s job description instead of what it actually is: the blessing and affirmation of valor for the lives of women, memorized by Jewish husbands for the purpose of honoring their wives at the family table. It is meant as a celebration for the everyday moments of valor for everyday women, not as an impossible exhausting standard.”
― Sarah Bessey, quote from Jesus Feminist: An Invitation to Revisit the Bible's View of Women

“How you can come to love an animal! She doesn't talk, but she speaks with her eyes, her paws, her meows, and I understand her.”
― Zlata Filipović, quote from Zlata's Diary: A Child's Life in Wartime Sarajevo

“it’s a long race and you can always outwork talent in the end”
― Matthew Quick, quote from Boy21

“... there is no sense your trying to put out sakura blossoms, when you are a bamboo.”
― Naomi Novik, quote from Blood of Tyrants

Interesting books

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 2023, 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.