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  2. Pencil (geometry) - Wikipedia

    en.wikipedia.org/wiki/Pencil_(geometry)

    Some lines in the pencil through A. In geometry, a pencil is a family of geometric objects with a common property, for example the set of lines that pass through a given point in a plane, or the set of circles that pass through two given points in a plane.

  3. File:Geometry for Elementary School.pdf - Wikipedia

    en.wikipedia.org/wiki/File:Geometry_for...

    2007-04-25 18:16 Whiteknight 1275×1650× (1355429 bytes) A PDF version for [[Geometry for elementary school]], based on the print version of that book. Created by myself using PDF24. Created by myself using PDF24.

  4. Geometry - Wikipedia

    en.wikipedia.org/wiki/Geometry

    Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, [a] which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental ...

  5. The geometry and topology of three-manifolds - Wikipedia

    en.wikipedia.org/wiki/The_geometry_and_topology...

    Later the Geometry Center at the University of Minnesota sold a loosely bound copy of the notes. In 2002, Sheila Newbery typed the notes in TeX and made a PDF file of the notes available, which can be downloaded from MSRI using the links below. The book (Thurston 1997) is an expanded version of the first three chapters of the notes. In 2022 the ...

  6. La Géométrie - Wikipedia

    en.wikipedia.org/wiki/La_Géométrie

    Book I is titled Problems Which Can Be Constructed by Means of Circles and Straight Lines Only. In this book he introduces algebraic notation that is still in use today. The letters at the end of the alphabet, viz., x , y , z , etc. are to denote unknown variables, while those at the start of the alphabet, a , b , c , etc. denote constants.

  7. The Geometry of Numbers - Wikipedia

    en.wikipedia.org/wiki/The_Geometry_of_Numbers

    The Geometry of Numbers is based on a book manuscript that Carl D. Olds, a New Zealand-born mathematician working in California at San Jose State University, was still writing when he died in 1979. Anneli Cahn Lax , the editor of the New Mathematical Library of the Mathematical Association of America , took up the task of editing it, but it ...

  8. Hilbert's axioms - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_axioms

    To a system of points, straight lines, and planes, it is impossible to add other elements in such a manner that the system thus generalized shall form a new geometry obeying all of the five groups of axioms. In other words, the elements of geometry form a system which is not susceptible of extension, if we regard the five groups of axioms as valid.

  9. Divina proportione - Wikipedia

    en.wikipedia.org/wiki/Divina_Proportione

    Divina proportione (15th century Italian for Divine proportion), later also called De divina proportione (converting the Italian title into a Latin one) is a book on mathematics written by Luca Pacioli and illustrated by Leonardo da Vinci, completed by February 9th, 1498 [1] in Milan and first printed in 1509. [2]

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