Book:Books/Geometry

The following books covered on $\mathsf{Pr} \infty \mathsf{fWiki}$ discuss geometry in its various forms.

For a comprehensive list of books referenced on $\mathsf{Pr} \infty \mathsf{fWiki}$ (and more), see Books.

Books

General

• 1684: David Gregory: Exercitatio Geometria de Dimensione Curvarum
• 1720: Colino Mac Laurin: Geometria Organica
• 1803: L.N.M. Carnot: Géométrie de Position
• 1827: August Ferdinand Möbius: Der Barycentrische Calcul

• 1908: Felix Klein: Elementarmathematik vom höheren Standpunkte aus
  • 1925: Felix Klein: Elementarmathematik vom höheren Standpunkte aus (3rd ed.)
  • 1939: Felix Klein: Elementary Mathematics from an Advanced Standpoint: Geometry (translated by Earle Raymond Hedrick and Charles Albert Noble from Elementarmathematik vom höheren Standpunkte aus, 3rd ed.)

• 1967: H.S.M. Coxeter and S.L. Greitzer: Geometry Revisited
• 1981: Ivan Niven: Maxima and Minima without Calculus

Euclidean Geometry

• 1509: Fra Luca Pacioli: De Divina Proportione
• 1525: Albrecht Dürer: Underweysung der Messung mit dem Zirckel und Richtscheyt ("Instructions for Measuring with Compass and Ruler")
• 1611: Johannes Kepler: De Nive Sexangula
• 1635: Bonaventura Cavalieri: Geometria Indivisibilibus Continuorum Nova Quadam Ratione Promota
• 1659: Vincenzo Viviani: De Maximis et Minimis
• 1672: Georg Mohr: Euclides Danicus
• 1733: Giovanni Saccheri: Euclides ab Omni Naevo Vindicatus ("Euclid Cleared from Every Stain")
• 1794: A.M. Legendre: Éléments de Géométrie
• 1795: John Playfair: Elements of Geometry
• 1797: Lorenzo Mascheroni: Geometria del Compasso

• 1877: A.B. Kempe: How to Draw a Straight Line
• 1899: David Hilbert: Grundlagen der Geometrie
  • 1902: David Hilbert: The Foundations of Geometry (translated by E.J. Townsend)

• 1920: Alfred E. Holbrow: Geometrical Drawing
  • 1944: Alfred E. Holbrow: Geometrical Drawing (12th ed.)

• 1961: E.H. Lockwood: A Book of Curves
• 1968: M.N. Aref and William Wernick: Problems & Solutions in Euclidean Geometry
• 1972: André VandenBroeck: Philosophical Geometry
• 1990: Richard S. Millman and George D. Parker: Geometry: A Metric Approach with Models

• 1998: Michèle Audin: Géométrie
  • 2003: Michèle Audin: Geometry
  • 2006: Michèle Audin: Géométrie (2nd ed.)

Trigonometry

• 1342: Levi ben Gershon: De Sinibus, Chordiis et Arcubus ("On Sines, Chords and Arcs")
• 1464: Ioannis de Regio Monte: De Triangulis Omnimodus
• 1579: Franciscus Vieta: Canon Mathematicus seu ad Triangula ("The Mathematical Canon Applied to Triangles")
• 1596: Georg Joachim Rhaeticus: Opus Palatinum de Triangulis

Analytic Geometry

• 1636: Pierre de Fermat: Methodus ad Disquirendam Maximam et Minimam et de Tangentibus Linearum Curvarum ("Method for determining Maxima and Minima and Tangents to Curved Lines")

• 1637: Pierre de Fermat: Introduction to Plane and Solid Loci
  • 1679: Pierre de Fermat: Ad Locos Planos et Solidos Isagoge ("Introduction to Plane and Solid Loci")

• 1637: René Descartes: La Géométrie
• 1704: Isaac Newton: Enumeratio Linearum Tertii Ordinis
• 1707: Guillaume de l'Hôpital: Traité Analytique des Sections Coniques

Solid Geometry

• 1615: Johannes Kepler: Nova Stereometria Doliorum Vinariorum

• 1656: Buonardo Savi: Trattato della Sfera
  • 1682: Urbano d'Aviso: Trattato della Sfera (2nd ed.)
  • 1690: Bonaventura Cavalieri: Trattato della Sfera (3rd ed.)

• 1934: D.M.Y. Sommerville: Analytical Geometry of Three Dimensions
• 1938: Robert J.T. Bell: Coordinate Solid Geometry (reprint of chapters I to IX of An Elementary Treatise on Coordinate Geometry of Three Dimensions from 1911)

• 1942: William H. McCrea: Analytical Geometry of Three Dimensions
  • 1947: William H. McCrea: Analytical Geometry of Three Dimensions (2nd ed.)

Projective Geometry

• 1639: Blaise Pascal: Essay pour les Coniques
• 1715: Brook Taylor: Linear Perspective
• 1822: Jean-Victor Poncelet: Traité des propriétés projectives des figures
• 1832: Jakob Steiner: Systematische Entwicklung der Abhängigkeit geometrischer Gestalten voneinander
• 1847: Karl Georg Christian von Staudt: Geometrie der Lage
• 1910: Oswald Veblen and John Wesley Young: Projective Geometry: Volume $\text { 1 }$
• 1918: Oswald Veblen: Projective Geometry: Volume $\text { 2 }$
• 1946: E.A. Maxwell: The Methods of Plane Projective Geometry based on the use of General Homogeneous Coordinates

• 1949: T. Ewan Faulkner: Projective Geometry
  • 1952: T. Ewan Faulkner: Projective Geometry (2nd ed.)

• 1953: R. Walker: Cartesian and Projective Geometry
• 1991: Klaus Metsch: Linear Spaces with Few Lines

Algebraic Geometry

• 1750: Gabriel Cramer: Introduction à l'analyse des lignes courbes algébriques
• 1941: S.L. Green: Algebraic Solid Geometry
• 1952: J.G. Semple and G.T. Kneebone: Algebraic Projective Geometry
• 1977: Robin Hartshorne: Algebraic Geometry

Differential Geometry

• 1927: C.E. Weatherburn: Differential Geometry of Three Dimensions: Volume $\text { I }$
• 1959: T.J. Willmore: An Introduction to Differential Geometry

• 1976: Manfredo P. do Carmo: Differential Geometry of Curves and Surfaces
  • 2016: Manfredo P. do Carmo: Differential Geometry of Curves and Surfaces (2nd ed.)

• 2001: Andrew Pressley: Elementary Differential Geometry
• 2013: Gerd Rudolph and Matthias Schmidt: Differential Geometry and Mathematical Physics
• 2018: John M. Lee: Introduction to Riemannian Manifolds (2nd ed.)

Descriptive Geometry

• 1799: Gaspard Monge: Géométrie Descriptive