mathematics

List of geometers

List of geometers is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand List of geometers rather than just read about it. In short: A geometer or geometrician is a mathematician who specializes in geometry. Some notable geometers and their main fields of work, chronologically listed, are: 1000 BC to 1 BC Baudhayana (fl. c. 800 BC) – Euclidean geometry Manava (c. 750 BC–690 BC) – Euclidean geometry Thales of Miletus (c. 624 BC – c. 546 BC) – Euclidean geometry Pythagoras (c. 570 BC – c. 495 BC) – Euclidean geometry, Pythagorean theorem Zeno of El…

Key takeaways

List of geometers belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect List of geometers to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of List of geometers from memory before moving on to harder problems.

Reference excerpt

A geometer or geometrician is a mathematician who specializes in geometry. Some notable geometers and their main fields of work, chronologically listed, are:

1000 BC to 1 BC

Baudhayana (fl. c. 800 BC) – Euclidean geometry Manava (c. 750 BC–690 BC) – Euclidean geometry Thales of Miletus (c. 624 BC – c. 546 BC) – Euclidean geometry Pythagoras (c. 570 BC – c. 495 BC) – Euclidean geometry, Pythagorean theorem Zeno of Elea (c. 490 BC – c. 430 BC) – Euclidean geometry Hippocrates of Chios (born c. 470 – 410 BC) – first systematically organized Stoicheia – Elements (geometry textbook) Mozi (c. 468 BC – c. 391 BC) Plato (427–347 BC) Theaetetus (c. 417 BC – 369 BC) Autolycus of Pitane (360–c. 290 BC) – astronomy, spherical geometry Euclid (fl. 300 BC) – Elements, Euclidean geometry (sometimes called the "father of geometry") Apollonius of Perga (c. 262 BC – c. 190 BC) – Euclidean geometry, conic sections Archimedes (c. 287 BC – c. 212 BC) – Euclidean geometry Eratosthenes (c. 276 BC – c. 195/194 BC) – Euclidean geometry Katyayana (c. 3rd century BC) – Euclidean geometry

1–1300 AD Hero of Alexandria (c. AD 10–70) – Euclidean geometry Pappus of Alexandria (c. AD 290–c. 350) – Euclidean geometry, projective geometry Hypatia of Alexandria (c. AD 370–c. 415) – Euclidean geometry Brahmagupta (597–668) – Euclidean geometry, cyclic quadrilaterals Vergilius of Salzburg (c.700–784) – Irish bishop of Aghaboe, Ossory and later Salzburg, Austria; antipodes, and astronomy Al-Abbās ibn Said al-Jawharī (c. 800–c. 860) Thabit ibn Qurra (826–901) – analytic geometry, non-Euclidean geometry, conic sections Abu'l-Wáfa (940–998) – spherical geometry, spherical triangles Ibn al-Haytham (965–c. 1040) Omar Khayyam (1048–1131) – algebraic geometry, conic sections Ibn Maḍāʾ (1116–1196)

1301–1800 AD

Piero della Francesca (1415–1492) Leonardo da Vinci (1452–1519) – Euclidean geometry Jyesthadeva (c. 1500 – c. 1610) – Euclidean geometry, cyclic quadrilaterals Marin Getaldić (1568–1626) Jacques-François Le Poivre (1652–1710) – projective geometry Johannes Kepler (1571–1630) – (used geometric ideas in astronomical work) Edmund Gunter (1581–1686) Girard Desargues (1591–1661) – projective geometry; Desargues' theorem René Descartes (1596–1650) – invented the methodology of analytic geometry, also called Cartesian geometry after him Pierre de Fermat (1607–1665) – analytic geometry Blaise Pascal (1623–1662) – projective geometry Christiaan Huygens (1629–1695) – evolute Giordano Vitale (1633–1711) Philippe de La Hire (1640–1718) – projective geometry Isaac Newton (1642–1727) – 3rd-degree algebraic curve Giovanni Ceva (1647–1734) – Euclidean geometry Johann Jacob Heber (1666–1727) – surveyor and geometer Giovanni Gerolamo Saccheri (1667–1733) – non-Euclidean geometry Leonhard Euler (1707–1783) Tobias Mayer (1723–1762) Johann Heinrich Lambert (1728–1777) – non-Euclidean geometry Gaspard Monge (1746–1818) – descriptive geometry John Playfair (1748–1819) – Euclidean geometry Lazare Nicolas Marguerite Carnot (1753–1823) – projective geometry Joseph Diaz Gergonne (1771–1859) – projective geometry; Gergonne point Carl Friedrich Gauss (1777–1855) – Theorema Egregium Louis Poinsot (1777–1859) Siméon Denis Poisson (1781–1840) Jean-Victor Poncelet (1788–1867) – projective geometry Augustin-Louis Cauchy (1789–1857) August Ferdinand Möbius (1790–1868) – Euclidean geometry Nikolai Ivanovich Lobachevsky (1792–1856) – hyperbolic geometry, a non-Euclidean geometry Michel Chasles (1793–1880) – projective geometry Germinal Dandelin (1794–1847) – Dandelin spheres in conic sections Jakob Steiner (1796–1863) – champion of synthetic geometry methodology, projective geometry, Euclidean geometry

1801–1900 AD

Karl Wilhelm Feuerbach (1800–1834) – Euclidean geometry Julius Plücker (1801–1868) János Bolyai (1802–1860) – hyperbolic geometry, a non-Euclidean geometry Christian Heinrich von Nagel (1803–1882) – Euclidean geometry Johann Benedict Listing (1808–1882) – topology Hermann Günther Grassmann (1809–1877) – exterior algebra Ludwig Otto Hesse (1811–1874) – algebraic invariants and geometry Ludwig Schlafli (1814–1895) – Regular 4-polytope Pierre Ossian Bonnet (1819–1892) – differential geometry Arthur Cayley (1821–1895) Joseph Bertrand (1822–1900) Delfino Codazzi (1824–1873) – differential geometry Bernhard Riemann (1826–1866) – elliptic geometry (a non-Euclidean geometry) and Riemannian geometry Julius Wilhelm Richard Dedekind (1831–1916) Ludwig Burmester (1840–1927) – theory of linkages Edmund Hess (1843–1903) Albert Victor Bäcklund (1845–1922) Max Noether (1844–1921) – algebraic geometry Henri Brocard (1845–1922) – Brocard points William Kingdon Clifford (1845–1879) – geometric algebra Pieter Hendrik Schoute (1846–1923) Felix Klein (1849–1925) Sofia Vasilyevna Kovalevskaya (1850–1891) Evgraf Fedorov (1853–1919) Henri Poincaré (1854–1912) Luigi Bianchi (1856–1928) – differential geometry Alicia Boole Stott (1860–1940) Hermann Minkowski (1864–1909) – non-Euclidean geometry Henry Frederick Baker (1866–1956) – algebraic geometry Élie Cartan (1869–1951) Dmitri Egorov (1869–1931) – differential geometry Veniamin Kagan (1869–1953) Raoul Bricard (1870–1944) – descriptive geometry Ernst Steinitz (1871–1928) – Steinitz's theorem Marcel Grossmann (1878–1936) Oswald Veblen (1880–1960) – projective geometry, differential geometry Nathan Altshiller Court (1881–1968) – author of College Geometry Emmy Noether (1882–1935) – algebraic topology Harry Clinton Gossard (1884–1954) Arthur Rosenthal (1887–1959) Helmut Hasse (1898–1979) – algebraic geometry

1901–present

… excerpt ends here. Continue reading the full article.

Illustrations

Worked examples

Example 1 — a first encounter with List of geometers

Start with the simplest possible case. Write down what List of geometers claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to List of geometers before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about List of geometers ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of List of geometers

In research: List of geometers appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses List of geometers in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: List of geometers is common in secondary-school and first-year university syllabi. It links to neighbouring topics Geometers, Lists of mathematicians by field, so understanding it makes those chapters shorter.
In everyday life: Look for List of geometers outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study List of geometers in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what List of geometers means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain List of geometers out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is List of geometers in simple terms?

A geometer or geometrician is a mathematician who specializes in geometry. Some notable geometers and their main fields of work, chronologically listed, are: 1000 BC to 1 BC Baudhayana (fl. c. 800 BC) – Euclidean geometry Manava (c. 750 BC–690 BC) – Euclidean geometry Thales of Miletus (c. 624 BC –…

Why does List of geometers matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study List of geometers?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on List of geometers.