Definition/Meaning | Word/Phrase |
---|---|

geometry of affine transformations | affine geometry |

Egyptian polymath (born in Iraq) whose research in geometry and optics was influential into the 17th century; established experiments as the norm of proof in physics (died in 1040) | Al-Hasan ibn al-Haytham , al-Haytham , Alhacen , Alhazen , Ibn al-Haytham |

(geometry) the angle formed by the x-axis and a given line (measured counterclockwise from the positive half of the x-axis) | angle of inclination , inclination |

Greek mathematician and physicist noted for his work in hydrostatics and mechanics and geometry (287-212 BC) | Archimedes |

pioneer of non-Euclidean geometry (1826-1866) | Bernhard Riemann , Georg Friedrich Bernhard Riemann , Riemann |

geometry, device for drawing circles or arcs in | compass , pair of compasses |

(geometry) a curve generated by the intersection of a plane and a circular cone | conic , conic section |

geometry of properties that remain invariant under projection | descriptive geometry , projective geometry |

(geometry) a straight line connecting any two vertices of a polygon that are not adjacent | diagonal |

(geometry) the interchangeability of the roles of points and planes in the theorems of projective geometry | duality |

(geometry) a ratio describing the shape of a conic section; the ratio of the distance between the foci to the length of the major axis | eccentricity |

geometry based on Euclid's axioms: e.g., only one line can be drawn through a point parallel to another line | elementary geometry , Euclidean geometry , parabolic geometry |

non-Euclidean geometry that regards space is like a sphere and a line is a great circle | elliptic geometry , Riemannian geometry |

(geometry) a plane rectangle with four equal sides and four right angles; a four-sided regular polygon | foursquare , square |

(mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry | fractal |

geometry of fractals | fractal geometry |

mathematician specializing in geometry | geometer , geometrician |

someone who teaches geometry | geometry teacher |

non-Euclidean geometry in which it is assumed that through any point there are two or more parallel lines that do not intersect a given line in the plane | hyperbolic geometry |

Russian mathematician who independently discovered non-Euclidean geometry (1792-1856) | Lobachevsky , Nikolai Ivanovich Lobachevsky |

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