---
title: "Meaning & Key Takeaway of: Geometry is the rules of all mental…"
description: "\"Geometry is the rules of all mental investigation\" — Mikhail Lomonosov"
image: "https://sms4smile.com/quotes/i/356/mikhail-lomonosov-72505_geometry_geometry-is-the-rules-of-all-mental-inve_2281547.jpg"
---

#  Geometry is the rules of all mental investigation

![“Geometry is the rules of all mental investigation” quote by Mikhail Lomonosov](https://sms4smile.com/quotes/i/356/mikhail-lomonosov-72505_geometry_geometry-is-the-rules-of-all-mental-inve_2281547.jpg)   [Download](https://sms4smile.com/quotes/i/356/mikhail-lomonosov-72505_geometry_geometry-is-the-rules-of-all-mental-inve_2281547.jpg) [Open image](https://sms4smile.com/quotes/i/356/mikhail-lomonosov-72505_geometry_geometry-is-the-rules-of-all-mental-inve_2281547.jpg)

> “Geometry is the rules of all mental investigation”

[Mikhail Lomonosov](https://sms4smile.com/quotes/author/mikhail-lomonosov/)

## About This Quote

This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation.

Geometry provides the foundational framework for all mental inquiry and logical reasoning.

**In simple terms:** Geometry underpins all mental investigation.

Key Takeaway

Study geometry to strengthen logical thinking.

Themes

logic mathematics reasoning foundation

Mood

analytical inquisitive

Type

academic philosophical

When to use this quote

- education
- research
- engineering
- architecture

Key Concepts

abstract thinking spatial reasoning problem solving

Questions to Reflect On

- How does geometry shape your thinking?
- When is non‑geometric reasoning more effective?

A Different Perspective

Overemphasis on geometry may limit creative approaches.

★ ★ ★ ★ ★   No ratings yet

[Geometry](https://sms4smile.com/quotes/about/geometry/) [Geometry Rules](https://sms4smile.com/quotes/about/geometry-rules-5327537/) [Investigation](https://sms4smile.com/quotes/about/investigation/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Mental Investigation](https://sms4smile.com/quotes/about/mental-investigation-5327538/) [Psychology](https://sms4smile.com/quotes/about/psychology/) [Research](https://sms4smile.com/quotes/about/research/) [Rules Mental](https://sms4smile.com/quotes/about/rules-mental-5327539/)

## Related quotes

> [ I am much occupied with the investigation of the physical causes \[of motions in the Solar System\]. My aim in this is to show… ](https://sms4smile.com/quotes/johannes-kepler/i-am-much-occupied-with-the-investigation-of-the-physical-causes-of/)

[Johannes Kepler](https://sms4smile.com/quotes/author/johannes-kepler/)

> [Geometry is knowledge of the eternally existent.](https://sms4smile.com/quotes/pythagoras/geometry-is-knowledge-of-the-eternally-existent/)

[Pythagoras](https://sms4smile.com/quotes/author/pythagoras/)

> [Geometry is one of the handles of science and philosophy.](https://sms4smile.com/quotes/xenocrates/geometry-is-one-of-the-handles-of-science-and-philosophy/)

[Xenocrates](https://sms4smile.com/quotes/author/xenocrates/)

> [The science of the church is neglected for the study of geometry, and they lose sight of Heaven while they are employed in measuring…](https://sms4smile.com/quotes/edward-gibbon/the-science-of-the-church-is-neglected-for-the-study-of-geometry-and/)

[Edward Gibbon](https://sms4smile.com/quotes/author/edward-gibbon/)

> [Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the axioms of…](https://sms4smile.com/quotes/david-hilbert/geometry-like-arithmetic-requires-for-its-logical-development-only-a/)

[David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/)

> [The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method](https://sms4smile.com/quotes/nicholas-murray-butler/the-analytical-geometry-of-descartes-and-the-calculus-of-newton-and/)

[Nicholas Murray Butler](https://sms4smile.com/quotes/author/nicholas-murray-butler/)

> [I have an infamously low capacity for visualizing relationships, which made the study of geometry and all subjects derived from it impossible for me.](https://sms4smile.com/quotes/sigmund-freud/i-have-an-infamously-low-capacity-for-visualizing-relationships-which/)

[Sigmund Freud](https://sms4smile.com/quotes/author/sigmund-freud/)

> [Let no-one ignorant of geometry enter. Said to have been inscribed above the door of Plato's Academy.](https://sms4smile.com/quotes/plato/let-no-one-ignorant-of-geometry-enter-said-to-have-been-inscribed/)

[Plato](https://sms4smile.com/quotes/author/plato/)

> [Cryptography has generated number theory, algebraic geometry over finite fields, algebra, combinatorics and computers.](https://sms4smile.com/quotes/vladimir-arnold/cryptography-has-generated-number-theory-algebraic-geometry-over/)

[Vladimir Arnold](https://sms4smile.com/quotes/author/vladimir-arnold/)

> [No one fully understands spinors. Their algebra is formally understood but their general significance is mysterious. In some sense they describe the 'square root'…](https://sms4smile.com/quotes/michael-atiyah/no-one-fully-understands-spinors-their-algebra-is-formally-understood/)

[Michael Atiyah](https://sms4smile.com/quotes/author/michael-atiyah/)

> [Geometry is the most complete science.](https://sms4smile.com/quotes/david-hilbert/geometry-is-the-most-complete-science/)

[David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/)

> [Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities,…](https://sms4smile.com/quotes/benoit-mandelbrot/regular-geometry-the-geometry-of-euclid-is-concerned-with-shapes/)

[Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/)

> [Geometry existed before creation.](https://sms4smile.com/quotes/plato/geometry-existed-before-creation/)

[Plato](https://sms4smile.com/quotes/author/plato/)

> [. . . by natural selection our mind has adapted itself to the conditions of the external world. It has adopted the geometry most…](https://sms4smile.com/quotes/henri-poincare/by-natural-selection-our-mind-has-adapted-itself-to-the-conditions-of/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

> [Geometry, which should only obey Physics, when united with it sometimes commands it. If it happens that the question which we wish to examine…](https://sms4smile.com/quotes/jean-le-rond-d-alembert/geometry-which-should-only-obey-physics-when-united-with-it-sometimes/)

[Jean le Rond d'Alembert](https://sms4smile.com/quotes/author/jean-le-rond-d-alembert/)

## More by Mikhail Lomonosov

> [In general, the bigger a mountain the older it is. The biggest mountains were built before any others, because when they were built there…](https://sms4smile.com/quotes/mikhail-lomonosov/in-general-the-bigger-a-mountain-the-older-it-is-the-biggest/)

[Mikhail Lomonosov](https://sms4smile.com/quotes/author/mikhail-lomonosov/)

> [Nature uncovers the inner secrets of nature in two ways: one by the force of bodies operating outside it; the other by the very…](https://sms4smile.com/quotes/mikhail-lomonosov/nature-uncovers-the-inner-secrets-of-nature-in-two-ways-one-by-the/)

[Mikhail Lomonosov](https://sms4smile.com/quotes/author/mikhail-lomonosov/)

> [“Mathematics should be studied if only for that it puts the mind in order.”](https://sms4smile.com/quotes/mikhail-lomonosov/mathematics-should-be-studied-if-only-for-that-it-puts-the-mind-in/)

[Mikhail Lomonosov](https://sms4smile.com/quotes/author/mikhail-lomonosov/)

[Explore all 4 Mikhail Lomonosov quotes ](https://sms4smile.com/quotes/author/mikhail-lomonosov/)

## More Geometry quotes

> [Geometry, which should only obey Physics, when united with it sometimes commands it. If it happens that the question which we wish to examine…](https://sms4smile.com/quotes/jean-le-rond-d-alembert/geometry-which-should-only-obey-physics-when-united-with-it-sometimes/)

[Jean le Rond d'Alembert](https://sms4smile.com/quotes/author/jean-le-rond-d-alembert/)

> [. . . by natural selection our mind has adapted itself to the conditions of the external world. It has adopted the geometry most…](https://sms4smile.com/quotes/henri-poincare/by-natural-selection-our-mind-has-adapted-itself-to-the-conditions-of/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

> [Geometry existed before creation.](https://sms4smile.com/quotes/plato/geometry-existed-before-creation/)

[Plato](https://sms4smile.com/quotes/author/plato/)

> [Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities,…](https://sms4smile.com/quotes/benoit-mandelbrot/regular-geometry-the-geometry-of-euclid-is-concerned-with-shapes/)

[Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/)

> [Geometry is the most complete science.](https://sms4smile.com/quotes/david-hilbert/geometry-is-the-most-complete-science/)

[David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/)

> [No one fully understands spinors. Their algebra is formally understood but their general significance is mysterious. In some sense they describe the 'square root'…](https://sms4smile.com/quotes/michael-atiyah/no-one-fully-understands-spinors-their-algebra-is-formally-understood/)

[Michael Atiyah](https://sms4smile.com/quotes/author/michael-atiyah/)

> [Cryptography has generated number theory, algebraic geometry over finite fields, algebra, combinatorics and computers.](https://sms4smile.com/quotes/vladimir-arnold/cryptography-has-generated-number-theory-algebraic-geometry-over/)

[Vladimir Arnold](https://sms4smile.com/quotes/author/vladimir-arnold/)

> [“This relationship, often called the Golden mean, has been discovered and rediscovered at various times in history as a unique proportion believed to have…](https://sms4smile.com/quotes/john-pile/this-relationship-often-called-the-golden-mean-has-been-discovered/)

[John Pile](https://sms4smile.com/quotes/author/john-pile/)

> [Let no-one ignorant of geometry enter. Said to have been inscribed above the door of Plato's Academy.](https://sms4smile.com/quotes/plato/let-no-one-ignorant-of-geometry-enter-said-to-have-been-inscribed/)

[Plato](https://sms4smile.com/quotes/author/plato/)

> [“A circle has no end.”](https://sms4smile.com/quotes/isaac-asimov/a-circle-has-no-end/)

[Isaac Asimov](https://sms4smile.com/quotes/author/isaac-asimov/)

> [I have an infamously low capacity for visualizing relationships, which made the study of geometry and all subjects derived from it impossible for me.](https://sms4smile.com/quotes/sigmund-freud/i-have-an-infamously-low-capacity-for-visualizing-relationships-which/)

[Sigmund Freud](https://sms4smile.com/quotes/author/sigmund-freud/)

> [In order to give meaning to the world, one has to feel oneself involved in what he frames. This attitude requires concentration, a discipline…](https://sms4smile.com/quotes/henri-cartier-bresson/in-order-to-give-meaning-to-the-world-one-has-to-feel-oneself/)

[Henri Cartier-Bresson](https://sms4smile.com/quotes/author/henri-cartier-bresson/)

> [While fractal geometry is often used in high-tech science, its patterns are surprisingly common in traditional African designs.](https://sms4smile.com/quotes/ron-eglash/while-fractal-geometry-is-often-used-in-high-tech-science-its/)

[Ron Eglash](https://sms4smile.com/quotes/author/ron-eglash/)

> [The geometry reveals five development direction for applications (each with endless possibilities); dividing, dwelling, trestle, fenestration and artistic installation. I find these enabled designs…](https://sms4smile.com/quotes/dror-benshetrit/the-geometry-reveals-five-development-direction-for-applications-each/)

[Dror Benshetrit](https://sms4smile.com/quotes/author/dror-benshetrit/)

> [The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method](https://sms4smile.com/quotes/nicholas-murray-butler/the-analytical-geometry-of-descartes-and-the-calculus-of-newton-and/)

[Nicholas Murray Butler](https://sms4smile.com/quotes/author/nicholas-murray-butler/)

[Browse all 424 Geometry quotes ](https://sms4smile.com/quotes/about/geometry/)

```json
{
    "@context": "https://schema.org",
    "@graph": [
        {
            "@type": "Quotation",
            "text": "Geometry is the rules of all mental investigation",
            "creator": {
                "@type": "Person",
                "name": "Mikhail Lomonosov"
            },
            "isPartOf": {
                "@id": "https://sms4smile.com/quotes/#website"
            },
            "url": "https://sms4smile.com/quotes/mikhail-lomonosov/geometry-is-the-rules-of-all-mental-investigation/",
            "about": {
                "@type": "Thing",
                "name": "Geometry"
            },
            "@id": "https://sms4smile.com/quotes/mikhail-lomonosov/geometry-is-the-rules-of-all-mental-investigation/#quotation",
            "image": {
                "@type": "ImageObject",
                "@id": "https://sms4smile.com/quotes/i/356/mikhail-lomonosov-72505_geometry_geometry-is-the-rules-of-all-mental-inve_2281547.jpg",
                "contentUrl": "https://sms4smile.com/quotes/i/356/mikhail-lomonosov-72505_geometry_geometry-is-the-rules-of-all-mental-inve_2281547.jpg",
                "url": "https://sms4smile.com/quotes/i/356/mikhail-lomonosov-72505_geometry_geometry-is-the-rules-of-all-mental-inve_2281547.jpg",
                "width": 1080,
                "height": 1080,
                "caption": "“Geometry is the rules of all mental investigation” — Mikhail Lomonosov",
                "creditText": "SMS4Smile Quotes",
                "creator": {
                    "@id": "https://sms4smile.com/quotes/#organization"
                }
            }
        },
        {
            "@type": "BreadcrumbList",
            "itemListElement": [
                {
                    "@type": "ListItem",
                    "position": 1,
                    "name": "Home",
                    "item": "https://sms4smile.com/"
                },
                {
                    "@type": "ListItem",
                    "position": 2,
                    "name": "Quotes",
                    "item": "https://sms4smile.com/quotes/"
                },
                {
                    "@type": "ListItem",
                    "position": 3,
                    "name": "Mikhail Lomonosov",
                    "item": "https://sms4smile.com/quotes/author/mikhail-lomonosov/"
                },
                {
                    "@type": "ListItem",
                    "position": 4,
                    "name": "Geometry is the rules of all...",
                    "item": "https://sms4smile.com/quotes/mikhail-lomonosov/geometry-is-the-rules-of-all-mental-investigation/"
                }
            ],
            "@id": "https://sms4smile.com/quotes/mikhail-lomonosov/geometry-is-the-rules-of-all-mental-investigation/#breadcrumb"
        },
        {
            "@type": "WebSite",
            "@id": "https://sms4smile.com/quotes/#website",
            "name": "SMS4Smile Quotes",
            "url": "https://sms4smile.com/quotes/",
            "publisher": {
                "@id": "https://sms4smile.com/quotes/#organization"
            }
        },
        {
            "@type": "Organization",
            "@id": "https://sms4smile.com/quotes/#organization",
            "name": "SMS4Smile Quotes",
            "url": "https://sms4smile.com/quotes/",
            "logo": {
                "@type": "ImageObject",
                "url": "https://sms4smile.com/quotes/wp-content/themes/sq/assets/icons/icon-512.png",
                "width": 512,
                "height": 512
            }
        }
    ]
}
```
