Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Divine Proportions: Rational Trigonometry to Universal Geometry

Divine Proportions: Rational Trigonometry to Universal Geometry is a 2005 book by the mathematician Norman J. Wildberger on a proposed alternative approach to Euclidean geometry and trigonometry, called rational trigonometry. The book advocates replacing the usual basic quantities of trigonometry, Euclidean distance and angle measure, by squared distance…

Literary Connections, Organization and topics & Overview

Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.

Research this topic

Explore the main themes, entities and connections around Divine Proportions: Rational Trigonometry to Universal Geometry. Start with the topic map, then use the sections below for research and deeper semantic analysis.

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

Key facts & relationships

High-confidence facts extracted from structured source data. Use them as anchors for further research.

Author
Norman J. Wildberger
Genre
Mathematics
Publication date
2005
Publisher
Wild Egg

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Organization and topics

Audience

Critical reception

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Divine Proportions: Rational Trigonometry to Universal Geometry

Nodes41
Edges40
Triples13
Avg. degree1.95
Density0.04878
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Divine Proportions: Rational Trigonometry to Universal Geometry

Top relations

Author · 1
Divine Proportions: Rational Trigonometry to Universal Geometry → Norman J. Wildberger
Genre · 1
Divine Proportions: Rational Trigonometry to Universal Geometry → Mathematics
Publication date · 1
Divine Proportions: Rational Trigonometry to Universal Geometry → 2005
Publisher · 1
Divine Proportions: Rational Trigonometry to Universal Geometry → Wild Egg
is a · 1
Divine Proportions: Rational Trigonometry to Universal Geometry → 2005 book by the mathematician Norman J

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

geometry trigonometry book wildberger divine proportions rational euclidean angle spread points claims mathematics finite fields part distance formulas also quadrance

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Divine Proportions: Rational Trigonometry to Universal GeometryAuthorNorman J. Wildberger1.00infobox
Divine Proportions: Rational Trigonometry to Universal GeometryGenreMathematics1.00infobox
Divine Proportions: Rational Trigonometry to Universal GeometryPublication date20051.00infobox
Divine Proportions: Rational Trigonometry to Universal GeometryPublisherWild Egg1.00infobox
Divine Proportions: Rational Trigonometry to Universal Geometryis a2005 book by the mathematician Norman J0.90text
finite fields using the same formulas for quadranceinstance ofIt also allows analogous concepts to be extended directly from the rational numbers to other number systems0.80text
spreadinstance ofIt also allows analogous concepts to be extended directly from the rational numbers to other number systems0.80text
Heron's formula for calculating the area of a triangle from its side lengthsinstance ofWell known results0.80text
or the inscribed angle theorem in the form that the angles subtended by a chord of a circle from other points on the circle are equalinstance ofWell known results0.80text
are reformulated in terms of quadranceinstance ofWell known results0.80text
spreadinstance ofWell known results0.80text
and thereby generalized to arbitrary fields of numbersinstance ofWell known results0.80text

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

    Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

    Min side: 3
    For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.