Quote of the day by Euclid: 'Let it be granted that things which are equal to the same thing are...' - thought-provoking quote by Greek mathematician and father of geometry teaches inspiring life lessons on equality, logic and why clear thinking matters in daily life

Quote of the day by Euclid: Not every important life lesson has to be complicated. Sometimes, a simple idea can remind us how to look at problems more clearly. A famous statement attributed to Greek mathematician Euclid does exactly that, using a basic rule of mathematics to explain how we can connect two things through a common point.

Quote of the Day Today: Euclid on Equality and Clear Thinking

Euclid said, “Let it be granted that things which are equal to the same thing are equal to one another,” as per Goodreads.

What Does Euclid’s Quote Mean

The idea is that if two things are both equal to the same thing, they must be equal to each other.


In simple terms, if A equals C and B also equals C, then A and B must be equal. This basic principle helps build logical arguments and mathematical proofs.

Life Lesson From Euclid’s Quote

Euclid’s words can also be seen as a reminder to look for common ground when making decisions or reaching conclusions. A shared reference point can help us understand how two things relate to each other.

Who Was Euclid

Euclid was a prominent mathematician of Greco-Roman antiquity who lived around 300 BCE in Alexandria, Egypt. He is best known for his influential work, Elements, which became a foundation for geometry and mathematical reasoning.

Euclid’s Elements

Euclid’s Elements brought together mathematical knowledge from earlier thinkers while giving it a systematic structure. It covered geometry, ratios, proportions, number theory, and three-dimensional figures, as per a Britannica report.

The work began with definitions, postulates, and common notions before developing mathematical proofs. It also included the Pythagorean theorem and ended with the construction of the five Platonic solids.

Euclid’s Influence

Elements remained a major source of mathematical reasoning for more than 2,000 years. Its methods influenced mathematicians including Johannes Kepler, Pierre de Fermat, René Descartes and Isaac Newton.

The work also spread through Arabic and Latin translations before becoming central to European mathematics during the Renaissance, as per the Britannica report.

Euclid’s Legacy

Although little is known about Euclid’s personal life, his approach to deductive reasoning became one of his most lasting contributions. His work helped establish a standard for logical and rigorous mathematical instruction that remained influential for centuries.

Famous Quotes by Euclid

Here are a few more quotes by Euclid.

• “A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser,” as per Goodreads.
• “The laws of nature are but the mathematical thoughts of God,” as per Goodreads.
• “1. An 'unit' is that by virtue of which each of the things that exist is called one.
  2. A 'number' is a multiple composed of units,” as per Goodreads.