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30 Cards in this Set
- Front
- Back
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Giovanni Saccheri |
- First to study the logical consequence of an actual denial of the postulate - Jesuit Priest, encouraged to study math by Tommaso Ceva - Professor/Chair @ U of Pavia - Contributed to Elements - "Euclides ab Omni Naevo Vindicatus" |
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Adrien-marie Legendre |
- Educated at College Mazarin - Infinite series of polynomials (Legendre polynomials) - Elliptic functions and elliptic integrals - "Elements de geometrie" - Tried proving parallel postulate for 40yrs |
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Johann Heinrich Lambert |
- Number theory, pi= irrational - Hyperbolic functions, probability theory - "Die Theorie der Parallellinien" - Sum of triangle angles increases, area decreases |
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Hippocrates of Chios |
- "Elements of Geometry" 100yrs before Euclid, but lost, work in books 1 & 2 now - Square the lune |
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John Playfair |
- Proclus: Commentary on Educlid (attempt to prove parallel postulate - "Two straight lines which intersect on another cannot both be parallel to the same straight line" |
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Heron of Alexandria |
- aka Hero - Mechanics, surveying, astronomy, optics - "Metrica" - areas of volumes of polygons, cylinders, cones & pyramids - Proves A^2=s(s-a)(s-b)... - Steam powered engine, wind organ, fire engine |
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Jonn Wallis |
- Most important Mathematician - Analysis, algebra, geometry, calculus - Integrals, appr. pi, - non congruent tri to prove EPP - |
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Archimedes of Syracuse |
Developed some of the fundamental ideas of calculus 2000 yrs before newton & Leibniz. One of his most sign. works was called Measurement of the Circles |
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Gino Fano |
First person to consider the notion of finite geometry |
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Pythagoras |
Probably did not prove the theorem named after him. Developed mathematical results exclusively as the result of deductive reasoning |
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Thomas Little Heath |
His was best know English translation of Elements. Wrote History of Greek Mathematics |
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George Birkhoff |
Solved Poincare's last geometric theorem. Dynamics, ergodic, theory, relativity and more. Measurements for Euclidean geometry. |
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Proclus Diadochus |
Best known for development of geometry in early times. Wrote Commentary on Euclid Book 1. |
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Nicholai Lobachevski |
First to have published a thorough development of non-Euclidean geometry |
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Edward Begle |
Directed the efforts of revising the secondary mathematics curriculum in geometry. SMSG axiom system |
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Aristotle |
Established the school called the Lyceum. Wrote Analytica Posteriora, begins with "common notations" or axioms. |
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Euclid |
Wrote the monumental work the Elements |
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David Hilbert |
Most important figure in math start of 20th century. An axiomatic system for all math consisting of consistent, complete and independent. |
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Menelaus of Alexandria |
Extended Euclid's work with 6 books about chords. First to do spheres. Work was called Sphaerica. |
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Giovanni Ceva |
Taught at Un. of Pisa. Likes synthetic geometry (triangles) Theorem De Lineis Rectis, named after him Book Geometria Motus |
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Karl Wilhelm Feurbach |
Relationships between the incirlce of a triangle and the three excricles Discovered 5th circle(nine-point circle) |
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Lorenzo Mascheroni |
Priest and Prof of Math at UO Roni Algebra and analysis, geometric constructions Book Geometia del Compasso, Euclid's work could be proved with compass |
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Rene Descartes |
8 sent to Jesuit academy Rules for the direction of the Mind Discours de la methode pour bien... |
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Fermat |
Studied civil law, living as jurist Analytical Geometry |
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Klein |
Geometry was a study of the properties of a space that remain invariant under a given group of transformations "Erlanger Programme" |
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Gauss |
Greatest mathematician in history non-euclidean geometry |
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Bolyai |
Worked with Gauss Hyperbolic Geometry Accused of stealing Gauss work |
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Beltrami |
Euclids 5th Postulate Hyperbolic geometry Essay on the "interpretation of non-euclidean geometry" Pseudosphere |
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Cayley |
Published 4 papers by graduation "Cambridge mathematical journal" 28 more papers in journal later matrix algebra, n-dimensional geometry First def. of distance |
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Clifford |
On the space Theory of Matter argued energy and matter could be interpreted as different types of curvature space |
