# geometrize

## ge·om·e·trize

(jē-ŏm′ĭ-trīz′)
v. ge·om·e·trized, ge·om·e·triz·ing, ge·om·e·triz·es
v.intr.
1. To study geometry.
2. To apply the methods of geometry.
v.tr.
1. To present in geometric form.
2. To bring into conformance with the laws and principles of geometry.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## geometrize

(dʒɪˈɒmɪˌtraɪz) or

## geometrise

vb
1. (Mathematics) to use or apply geometric methods or principles (to)
2. (Mathematics) (tr) to represent in geometric form
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## ge•om•e•trize

(dʒiˈɒm ɪˌtraɪz)

v. -trized, -triz•ing. v.i.
1. to work by geometric methods.
v.t.
2. to put into geometric form.
[1650–60]
ge•om`e•tri•za′tion, n.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

## geometrize

Past participle: geometrized
Gerund: geometrizing

Imperative
geometrize
geometrize
Present
I geometrize
you geometrize
he/she/it geometrizes
we geometrize
you geometrize
they geometrize
Preterite
I geometrized
you geometrized
he/she/it geometrized
we geometrized
you geometrized
they geometrized
Present Continuous
I am geometrizing
you are geometrizing
he/she/it is geometrizing
we are geometrizing
you are geometrizing
they are geometrizing
Present Perfect
I have geometrized
you have geometrized
he/she/it has geometrized
we have geometrized
you have geometrized
they have geometrized
Past Continuous
I was geometrizing
you were geometrizing
he/she/it was geometrizing
we were geometrizing
you were geometrizing
they were geometrizing
Past Perfect
Future
I will geometrize
you will geometrize
he/she/it will geometrize
we will geometrize
you will geometrize
they will geometrize
Future Perfect
I will have geometrized
you will have geometrized
he/she/it will have geometrized
we will have geometrized
you will have geometrized
they will have geometrized
Future Continuous
I will be geometrizing
you will be geometrizing
he/she/it will be geometrizing
we will be geometrizing
you will be geometrizing
they will be geometrizing
Present Perfect Continuous
I have been geometrizing
you have been geometrizing
he/she/it has been geometrizing
we have been geometrizing
you have been geometrizing
they have been geometrizing
Future Perfect Continuous
I will have been geometrizing
you will have been geometrizing
he/she/it will have been geometrizing
we will have been geometrizing
you will have been geometrizing
they will have been geometrizing
Past Perfect Continuous
I had been geometrizing
you had been geometrizing
he/she/it had been geometrizing
we had been geometrizing
you had been geometrizing
they had been geometrizing
Conditional
I would geometrize
you would geometrize
he/she/it would geometrize
we would geometrize
you would geometrize
they would geometrize
Past Conditional
I would have geometrized
you would have geometrized
he/she/it would have geometrized
we would have geometrized
you would have geometrized
they would have geometrized
Collins English Verb Tables © HarperCollins Publishers 2011
References in periodicals archive ?
Even though the tectonic disturbances were mapped in the period before this slide, it was decided to create a more in-depth system that would not only systematically search and geometrize these geological structures, but also evaluate and categorize them from the point of view of the danger of landslides and their impacts on occupational safety.
This is partly how we geometrize the reality of time in terms of its flows (successive states) and in a cosmological framework.
The fundamental constant c (speed of light) allows users to geometrize the time dimension (ct).
"To geometrize," says Poincare, "is to study the properties of our instruments, that is, of solid bodies."(7) The intuition of continuity exists in our minds prior to experience, but it is our involvement with the world that provides us with the opportunity to "choose" among the many possible groups of continuous transformations the one that best fits our concrete bodily experiences.
Herodotus may attempt to measure and even "geometrize"
more conventional theory has sought to geometrize and so delimit.
In other words, the subject had to "geometrize" a mental image of the design him/herself (the black reconstruction area is composed of 6 x 6 squares).
In order not to drift too far from our problem of interest we shall not pursue the discussion of the Maximum Principle in its most general form, although it will still be necessary to "geometrize" its content.
It was also the point of departure for Hegel's philosophy that led Schelling to thoroughly rethink his own position, and silenced him for decades and led to a complete rejection of the impulse to "geometrize" the dialectic (182) The notion of will, while appearing radical, is a retreat from Schelling's radical abandonment of the category of substance entailed by his notion of "productivity" in his earlier work.
In the case of classical General Relativity with matter and fields, appended to the pure gravitational Lagrangian density are the matter field and non-geometrized interactions (such as electromagnetism), giving the relevant energy-momentum tensor: this "integralism procedure" (reminiscent of classical Newtonian-Lagrangian dynamics) is again only tautologically valid since classical General Relativity does not geometrize fields other than the gravitational field.
In the black and white photograph of two men passing each other in the street (in India, perhaps), one seen from the front in a black shirt and a sort of white loincloth, the other dressed in a gray shirt and black loincloth and observed from behind, Kelly has used a pencil to "geometrize" the bodies of the two passersby (shirts and loincloths), thus sketching out a diptych composed of two bicolored panels.
As we expressed before, there are conceptual differences, in general relativity, curvature is used to geometrize the gravitational interaction, geometry replaces the concept of force, and the trajectories are determined, not by force equations but by geodesics.
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