• Showing complex interwoven geometric design
    Showing complex interwoven geometric design
  • Webster's Revised Unabridged Dictionary
    • v. i Geometrize To investigate or apprehend geometrical quantities or laws; to make geometrical constructions; to proceed in accordance with the principles of geometry. "Nature geometrizeth , and observeth order in all things."
    • ***
Century Dictionary and Cyclopedia
    • geometrize To solve geometrical problems; speculate geometrically; practise geometry. The use of this word originated from Plato's saying (reported by Plutarch) that God continually geometrizes.
    • geometrize To form geometrically or according to geometrical principles.
    • ***


  • Thomas Robert Malthus
    Thomas Robert Malthus
    “Population, when unchecked, increases in a geometrical ratio.”
  • Andre Maurois
    “The effectiveness of work increases according to geometric progression if there are no interruptions.”


In literature:

"A Study Of The Textile Art In Its Relation To The Development Of Form And Ornament" by William H. Holmes
A geometric pattern was usual.
"If You're Going to Live in the Country" by Thomas H. Ormsbee and Richmond Huntley
The two are plaited together in geometric patterns.
"The Mafulu" by Robert W. Williamson
I knew enough of geometrical proportion to prove this to my own satisfaction.
"The Diary of an Ennuyée" by Anna Brownell Jameson
The background, also much injured, is decorated with mosaic and geometrical patterns of glass, now dim and opaque with age.
"Donatello" by David Lindsay, Earl of Crawford
The young thaddeus also makes a tent, but spins its little geometrical web on the under side of the leaf, the edges being bent downward.
"A Book of Natural History" by Various
Aristotle, his caution against delusive geometrical accuracy in moral arguments, ii.
"The Works of the Right Honourable Edmund Burke, Vol. XII. (of XII.)" by Edmund Burke
Moral truths are not geometric theorems and multiplication tables, and it is not necessary that they should be.
"Explanation of Catholic Morals" by John H. Stapleton
That accepting the truth of a particular judgment may imply a universal judgment is very evident in the case of geometrical demonstrations.
"Ontario Normal School Manuals: Science of Education" by Ontario Ministry of Education
Leibnitz wishes to resolve a geometrical problem, he has an apoplectic fit, he certainly has not liberty to resolve his problem.
"Voltaire's Philosophical Dictionary" by Voltaire

In poetry:

Above, below, in sky and sod,
In leaf and spar, in star and man,
Well might the wise Athenian scan
The geometric signs of God,
The measured order of His plan.
"The Over-Heart" by John Greenleaf Whittier
See that satan pollarding a tree,
That geometric man straightening a road:
Surely such passions are perverse and odd
That violate windows and set the north wind free.
"Progression" by Francis Scarfe
And who shall call the little beeches mad?
Not I, who know how big are little acts.
Want what you have, and cherish, O my Lad,
The downright, foursquare, geometric facts!
"The Poet's Advice" by John Gneisenau Neihardt
An easy thing to improve on God,
Simply the knowing of even from odd,
Simply to count and then dispose
In patterns everybody knows,
Simply to follow curve and line
In geometrical design.
"Geometry" by John Crowe Ransom
Sunday evening. The thick-lipped men binoculared
Steal through the geometric groves of pines,
Observing the steady and fatal hands of poachers
And the young loving in wrinkles of the dunes.
"Merthymawr" by George Woodcock
Thus he grew up, in Logic point-device,
Perfect in Grammar, and in Rhetoric nice;
Science of Numbers, Geometric art,
And lore of Stars, and Music knew by heart;
A Minnesinger, long before the times
Of those who sang their love in Suabian rhymes.
"Tales Of A Wayside Inn : Part 3. The Student's Tale; Emma and Eginhard" by Henry Wadsworth Longfellow

In news:

Olympic fever that has swept most of China seems to have limited influence in Lanzhou, considered the geometrical center of China.
Visual Art Getting Over in Belmont: Pretty Lady and Geometric Psychedelia.
Rose Brand Geometric Display Walls.
Articles Tagged with " geometric dimensioning and tolerancing".
Items Tagged with ' geometric dimensioning and tolerancing'.
Fendi's summer wear has geometric certainty.
Fendi's latest summer collection has a geometric certainty.
Whether oversized and classic or geometric and modern, these statement-making containers unleash noteworthy visions of pure bliss.
Both circles and angles from Pilobolus By Tresca Weinstein Special to the Times Union ALBANY — If you had to compare the dance troupe Pilobolus to a geometric shape, it would be the circle.
Gosen Sidewinder is new geometric monofilament polyester string that is made from high–tech polyester resin combined with a chemical additive to increase power, control, and spin.
A Robert Straight painting is like a kaleidoscope: Its vibrant and geometric images change with the light.
Jeff and Alice Speck use a flatiron lot to create a geometric showcase.
Marni's runway space was pure white, devoid of collection clues where normally there is a hint, of say, a repeating geometric pattern.
(May 1, 2008) Crystal faces reveal symmetries which reflect the geometric arrangements of their constituent atoms.
Perhaps you have been given the job of selecting and purchasing a coordinate measuring machine (CMM) or some other geometric measurement system.

In science:

However, while notion of the geometric phase for pure states is well defined, the definition of a geometric phase in open quantum systems is still an unsolved problem.
Complex magnetic monopoles, geometric phases and quantum evolution in vicinity of diabolic and exceptional points
Geometric Nature of the EnvironmentInduced Berry Phase and Geometric Dephasing.
Complex magnetic monopoles, geometric phases and quantum evolution in vicinity of diabolic and exceptional points
We speculate on possible applications of such geometric methods in Einstein and generalized theories of gravity, analogous gravity and geometric mechanics.
Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics
In a more general context, we can consider that the N-connection is def ined by an additional geometric structure (independent from the metric and linear connection structures), like in generalized Lagrange–Finsler theories, when certain geometric or physical/mechanical theories are def ined on nonholonomic manifolds.
Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics
Here, we note that our approach is dif ferent from the so-called analgous gravity where gravitational (for instance, black hole ef fects) are ef fectively modelled by heuristic media and f lows, but not following a rigorous geometric formalism, for instance, that of N-connections and geometric mechanics.
Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics