# Niccolò Tartaglia

> Italian mathematician (1499–1557)

**Wikidata**: [Q201543](https://www.wikidata.org/wiki/Q201543)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Nicolo_Tartaglia)  
**Source**: https://4ort.xyz/entity/niccolo-tartaglia

## Summary
Niccolò Tartaglia was an Italian mathematician and engineer who lived from approximately 1499 to 1557. He is best known for his work in algebra, particularly for developing a method to solve cubic equations, which he later shared with other mathematicians under conditions of secrecy. His contributions laid important groundwork for the development of algebra and mathematical theory.

## Biography
- Born: +1499 in the Republic of Venice (historical region)
- Nationality: Republic of Venice
- Education: Self-taught; no formal institutional education recorded
- Known for: Solving cubic equations and contributions to the application of mathematics in ballistics and engineering
- Employer(s): Not explicitly recorded in provided data
- Field(s): Mathematics, engineering

## Contributions
Niccolò Tartaglia made several significant contributions to mathematics and applied science:
- **Solution to cubic equations**: He developed a method to solve certain types of cubic equations, which was a major breakthrough in algebra during the Renaissance.
- **Ballistics research**: He conducted pioneering work in the application of mathematics to the study of projectile motion, laying early foundations for the field of ballistics.
- **Translation and commentary on classical works**: He translated and commented on works of ancient mathematicians, including a notable translation of Euclid's *Elements*, which influenced European mathematical education.
- **"Nova Scientia" (1537)**: This work established his contributions to the mathematical study of projectiles and military engineering.
- **"General Trattato di Numeri et Misure"**: A comprehensive treatise on arithmetic and algebra, published in multiple volumes, which systematized much of the mathematical knowledge of the time and influenced future generations of mathematicians.

## FAQs
**What is Niccolò Tartaglia most famous for?**  
Tartaglia is most famous for his solution to cubic equations, which was a significant development in Renaissance algebra. His method was later shared with Gerolamo Cardano under secrecy, leading to wider European recognition.

**Did Niccolò Tartaglia work with any institutions?**  
There is no specific record in the provided data of institutional affiliations or formal employment, suggesting he was largely self-taught and worked independently.

**What were his major works?**  
His major works include *Nova Scientia* (1537), which applied mathematics to ballistics, and *General Trattato di Numeri et Misure*, a comprehensive mathematical treatise.

**What was his contribution to engineering?**  
Tartaglia applied mathematical principles to the study of projectile motion, contributing to the early development of the science of ballistics.

**Was he involved in any notable disputes?**  
Yes, he was involved in a well-documented dispute with Gerolamo Cardano over the sharing of Tartaglia’s method for solving cubic equations, which Cardano later published without permission.

## Why They Matter
Niccolò Tartaglia's work was foundational in advancing algebraic methods and mathematical applications in engineering. His solution to cubic equations was a major breakthrough that influenced Cardano and other mathematicians. His *Nova Scientia* was one of the earliest works to apply mathematical principles to the study of ballistics, laying the groundwork for the scientific study of projectile motion. Without his contributions, the development of algebraic theory and applied mathematics in Europe would have been delayed.

## Notable For
- Developing a method to solve certain cubic equations
- Publishing *Nova Scientia* (1537), a foundational work in ballistics
- Translating and annotating classical mathematical texts, including a widely used version of Euclid’s *Elements*
- Authoring the comprehensive *General Trattato di Numeri et Misure*
- Engaging in a famous dispute with Gerolamo Cardano over the publication of his cubic equation solution
- Applying mathematical principles to military science and engineering

## Body

### Early Life and Background
Niccolò Tartaglia was born in 1499 in the Republic of Venice, a region known for its rich cultural and scientific heritage during the Renaissance. He was largely self-taught, rising from modest beginnings to become one of the most influential mathematicians of his time. His early interest in mathematics was sparked by his personal studies and access to classical and contemporary texts.

### Career and Major Works
Tartaglia's career was marked by his deep engagement with both pure and applied mathematics. His major works include:

- **"Nova Scientia" (1537)**: This work was groundbreaking in its application of mathematical principles to the science of ballistics. It represented one of the earliest attempts to mathematically model projectile motion, laying the groundwork for future developments in physics and engineering.
- **"General Trattato di Numeri et Misure"**: This comprehensive treatise, published in several volumes, compiled and expanded upon the mathematical knowledge of the time. It became a standard reference for mathematicians and engineers and demonstrated his ability to synthesize and teach complex mathematical concepts.

### Mathematical Contributions
Tartaglia's contributions to mathematics were both theoretical and applied:
- **Solution to cubic equations**: He developed a method for solving specific forms of cubic equations, which he initially kept secret. This method was later shared with Gerolamo Cardano, leading to a significant controversy when Cardano published the method without permission.
- **Translation and commentary**: He translated Euclid’s *Elements* and other classical works, making them accessible to a broader audience and contributing to the spread of mathematical knowledge in Europe.

### Engineering and Applied Science
Tartaglia's work in applying mathematics to military science was pioneering:
- **Ballistics**: His work in *Nova Scientia* was among the first to treat the motion of projectiles mathematically. This was a major step toward the development of classical mechanics and influenced later scientists like Galileo.

### Disputes and Legacy
Tartaglia was involved in a notable dispute with Gerolamo Cardano, who learned Tartaglia's method for solving cubic equations and published it without permission. This led to a long-standing controversy and affected Tartaglia's relationship with the broader mathematical community. Despite this, his contributions were recognized as crucial to the development of algebra and mathematical science.

### Influence
Tartaglia's influence extended beyond his lifetime:
- His *General Trattato* was used as a reference by many mathematicians and educators.
- His work in ballistics influenced the development of the field and was a precursor to the scientific methods later employed by scholars like Galileo.
- The dispute with Cardano highlighted the importance of intellectual property and the ethical dimensions of scholarly work.

### Publications and Writings
Tartaglia's publications were extensive and influential:
- **"Nova Scientia" (1537)**: Focused on the application of mathematics to ballistics.
- **"General Trattato di Numeri et Misure":** A comprehensive guide to arithmetic and algebra.
- Translations of Euclid’s *Elements* and other classical works, which helped disseminate mathematical knowledge.

### Personal Life and Death
Tartaglia's personal life was marked by perseverance and self-education. He died on December 13, 1557, in the Republic of Venice, leaving behind a legacy of mathematical and scientific contributions that influenced generations of scholars.

### Historical Context
Living in the Republic of Venice, a hub of Renaissance learning and innovation, Tartaglia was part of a vibrant intellectual community. His work contributed to the broader European Renaissance movement, which emphasized empirical study and mathematical rigor. His legacy is preserved in his works and in the continued influence of his ideas on the development of mathematics and science.

## References

1. Source
2. Tartaglia, Niccola (BLKÖ)
3. Mathematica Italiana
4. Enciclopedia Treccani
5. MacTutor History of Mathematics archive
6. BnF authorities
7. Integrated Authority File
8. Genealogics
9. International Standard Name Identifier
10. Freebase Data Dumps. 2013
11. Complete Dictionary of Scientific Biography
12. Virtual International Authority File
13. [Source](http://digitale.beic.it/primo_library/libweb/action/search.do?fn=search&vid=BEIC&vl%283134987UI0%29=creator&vl%28freeText0%29=Tartaglia%20Niccolò)
14. [BnF authorities](http://data.bnf.fr/ark:/12148/cb12914492r)
15. CONOR.SI
16. Dizionario Biografico degli Italiani
17. Shakeosphere
18. Treccani's Enciclopedia on line
19. Mathematics Genealogy Project
20. Provenio