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Practical Plane and Solid Geometry for Advanced StudentsPractical Plane and Solid Geometry for Advanced Students
by J. Harrison, G.A. Baxandall - Macmillan , 1899
This book is written for Science students. The necessity of accurate draughtsmanship is insisted on throughout. We describe how the drawing instruments may be set and maintained. And the numerical answers are appended to many of the examples.
(1711 views)

A Tour of Triangle GeometryA Tour of Triangle Geometry
by Paul Yiu - Florida Atlantic University , 2005
We outline some interesting results with illustrations made by dynamic software. We center around the notions of reflection and isogonal conjugation, and introduce a number of interesting triangle centers, lines, conics, and a few cubic curves.
(2025 views)

Geometry: From Ancient to ModernGeometry: From Ancient to Modern
by Wong Yan Loi - National University of Singapore , 1999
Contents: Pythagoras' theorem; Pythagorean triples; commensurable and incommensurable quantities; Eudoxus' theory of proportion; method of exhaustion; continued fractions; the surface area of a sphere; the method; regular polyhedra; symmetries; etc.
(1806 views)

An Elementary Treatise on Conic SectionsAn Elementary Treatise on Conic Sections
by Charles Smith - The Macmillan Company , 1905
In the following work I have investigated the more elementary properties of the Ellipse, Parabola, and Hyperbola, defined with reference to a focus and directrix, before considering the General Equation of the Second Degree...
(1076 views)

Euclid's 'Elements' ReduxEuclid's 'Elements' Redux
by Daniel Callahan - starrhorse.com , 2013
Euclid's 'Elements' Redux is an open textbook on mathematical logic and geometry for use in grades 7-12 and in undergraduate college courses on proof writing. It is a new edition of the most successful textbook of all time...
(1701 views)

Advanced Geometry for High Schools: Synthetic and AnalyticalAdvanced Geometry for High Schools: Synthetic and Analytical
by A.H. McDougall - Copp, Clark , 1919
Contents: Theorems of Menelaus and Ceva; The Nine-Point Circle; Simpson's Line; Areas op Rectangles; Radical Axis; Medial Section; Miscellaneous Theorems; Similar and Similarly Situated Polygons; Harmonic Ranges and Pencils; etc.
(1844 views)

Euclid's Elements of GeometryEuclid's Elements of Geometry
by J.L. Heiberg, R. Fitzpatrick , 2008
Euclid's Elements is the most famous mathematical work of classical antiquity, and also has the distinction of being the oldest continuously used mathematical textbook. The main subjects of the work are geometry, proportion, and number theory.
(3598 views)

A Course of Pure Geometry: Properties of the Conic SectionsA Course of Pure Geometry: Properties of the Conic Sections
by E.H. Askwith - Cambridge University Press , 1917
The book does not assume any previous knowledge of the Conic Sections, which are here treated on the basis of the definition of them as the curves of projection of a circle. Many of the properties of the Conic Sections are proved quite simply.
(3899 views)

Geometry of Four DimensionsGeometry of Four Dimensions
by Parker Manning Henry - The MacMillan Company , 1914
Contents: The Foundations Of Four Dimensional Geometry; Points And Lines; Triangles; Planes; Convex Polygons; Tetrahedrons; Hyperplanes; Convex Pyramids And Pentahedroids; Space Of Four Dimensions; Hyperpyramids And Hypercones; etc.
(4603 views)

The First Six Books of the Elements of EuclidThe First Six Books of the Elements of Euclid
by John Casey, Euclid - Longmans, Green, and Co. , 1885
This edition of the Elements of Euclid is intended to supply a want much felt by teachers at the present day - the production of a work which, while giving the original in all its integrity, would also contain the modern conceptions and developments.
(4069 views)

Researches on Curves of the Second OrderResearches on Curves of the Second Order
by George Whitehead Hearn - Project Gutenberg , 2005
Researches on curves of the second order are given in this book, also on cones and spherical conics treated analytically, in which the tangencies of Apollonius are investigated, and general geometrical constructions deduced from analysis.
(2945 views)

First Principles of Symmetrical BeautyFirst Principles of Symmetrical Beauty
by David Ramsay Hay - W. Blackwood and sons , 1846
From the table of contents: Nature of the science of aesthetics explained; Plane figures the bases of all forms; The isosceles triangle; Universal application of the composite ellipse in the arts of ornamental design; and more.
(6056 views)

Geometry Formulas and FactsGeometry Formulas and Facts
by Silvio Levy - CRC Press , 1995
Contents: Coordinate Systems in the Plane; Plane Symmetries or Isometries; Lines; Polygons; Circles; Conics; Special Plane Curves; Coordinate Systems in Space; Space Symmetries or Isometries; Directions, Planes and Lines; Polyhedra; Spheres; etc.
(6081 views)

Foundations of geometry for university students and high-school studentsFoundations of geometry for university students and high-school students
by Ruslan Sharipov - arXiv , 2007
This is a textbook for the course of foundations of geometry. It is addressed to mathematics students in Universities and to High School students for deeper learning. It can also be used in mathematics coteries and self-education groups.
(6883 views)

Plane GeometryPlane Geometry
by George Wentworth, David E. Smith - Ginn and Company , 1913
For a generation this was the leading textbook on the subject of plane geometry in America. Topics covered: rectilinear figures, the circle, proportion, similar polygons, areas of polygons, regular polygons and circles, etc.
(7440 views)

Coordinate GeometryCoordinate Geometry
by Henry B. Fine, Henry D. Thompson - The MacMillan Company , 1911
Contents: Coordinates; The Straight Line; The Circle; The Parabola; The Ellipse; The Hyperbola; Transformation Of Coordinates; The General Equation Of The Second Degree; Sections Of A Cone; Systems Of Conics; Tangents And Polars Of The Conic; etc.
(8244 views)

A Modern Course on Curves and SurfacesA Modern Course on Curves and Surfaces
by Richard S. Palais - virtualmathmuseum.org , 2003
Contents: What is Geometry; Geometry of Inner-Product Spaces; Linear Maps and the Euclidean Group; Adjoints of Linear Maps and the Spectral Theorem; Differential Calculus on Inner-Product Spaces; Normed Spaces and Integration; ODE; and more.
(7526 views)

CK-12 GeometryCK-12 Geometry
by V. Cifarelli, A. Gloag, D. Greenberg, J. Sconyers, B. Zahner - CK-12 Foundation , 2009
Contents: Reasoning and Proof; Parallel and Perpendicular Lines; Congruent Triangles; Relationships Within Triangles; Quadrilaterals; Similarity; Right Triangle Trigonometry; Circles; Perimeter and Area; Surface Area and Volume; Transformations.
(9703 views)

Solid Geometry, with Problems and ApplicationsSolid Geometry, with Problems and Applications
by H. E. Slaught, N. J. Lennes - Allyn and Bacon , 1919
From the table of contents: Introduction; Axioms and Theorems from Plane Geometry; Properties of the Plane; Regular Polyhedrons; Prisms and Cylinders; Pyramids and Cones; The Sphere; Portraits and biographical sketches; and more.
(9186 views)

Conic Sections Treated GeometricallyConic Sections Treated Geometrically
by W. H. Besant - George Bell and Sons , 1895
In the present Treatise the Conic Sections are defined with reference to a focus and directrix, and I have endeavoured to place before the student the most important properties of those curves, deduced, as closely as possible, from the definition.
(6208 views)

Lectures on Discrete and Polyhedral GeometryLectures on Discrete and Polyhedral Geometry
by Igor Pak - UCLA , 2008
This book is aimed to be an introduction to some of our favorite parts of the subject, covering some familiar and popular topics as well as some old, forgotten, sometimes obscure, and at times very recent and exciting results.
(5111 views)

The Foundations of GeometryThe Foundations of Geometry
by David Hilbert - Project Gutenberg , 1902
Axioms were uncovered in Euclid's geometry. These discoveries were organized into a more rigorous axiomatic system by David Hilbert in his Grundlagen der Geometrie (1899) which contained his definitive set of axioms for Euclidean geometry.
(7756 views)

Virtual Polyhedra: The Encyclopedia of PolyhedraVirtual Polyhedra: The Encyclopedia of Polyhedra
by George W. Hart , 2000
Polyhedra have an enormous aesthetic appeal and the subject is fun and easy. This is a collection of thousands of virtual reality polyhedra for you to explore. There are hundreds here which have never been illustrated in any previous publication.
(5230 views)

A. N. Whitehead's Geometric AlgebraA. N. Whitehead's Geometric Algebra
by Stephen Blake , 2005
This is a text on 3-d Euclidean computational geometry intended to be used in engineering applications. On the other hand, the methods of Whitehead's algebra enable us to readily deal with Euclidean and non-Euclidean spaces of any dimension.
(8049 views)

Theory of Symmetry and OrnamentTheory of Symmetry and Ornament
by Slavik V. Jablan - Matematicki Institut , 1995
This work is a comparative analysis of the theory of discrete and visually presentable continuous symmetry groups in the plane E2 or in E2\{O}: Symmetry Groups of Rosettes, Friezes and Ornaments, Similarity Symmetry Groups in E2, etc.
(5285 views)

Mathematical Illustrations: A Manual of Geometry and PostScriptMathematical Illustrations: A Manual of Geometry and PostScript
by Bill Casselman - Cambridge University Press , 2005
The author gives an introduction to basic features of the PostScript language and shows how to use it for producing mathematical graphics. The book includes the discussion computer graphics and some comments on good style in mathematical illustration.
(9101 views)

Isometrica: A Geometrical Introduction to Planar Crystallographic GroupsIsometrica: A Geometrical Introduction to Planar Crystallographic Groups
by George Baloglou , 2007
Planar crystallographic groups are one of the very first mathematical creations of humankind. This book's goal is the gradual unveiling of the structural and the mathematical that hides behind the visual and the artistic.
(7117 views)

Euclid's ElementsEuclid's Elements
by D.E.Joyce , 1998
Online edition of Euclid's Elements, one of the most beautiful and influential works of science in the history of humankind. The text of all 13 Books is complete, and all of the figures are illustrated using a Java applet called the Geometry Applet.
(11418 views)

The Pythagorean Theorem: Crown Jewel of MathematicsThe Pythagorean Theorem: Crown Jewel of Mathematics
by John C. Sparks - AuthorHouse , 2008
The book chronologically traces the Pythagorean theorem from the beginning, through 4000 years of Pythagorean proofs. The text presents some classic puzzles, amusements, and applications. An epilogue summarizes the importance of the theorem.
(12201 views)

Geometry for Elementary SchoolGeometry for Elementary School
- Wikibooks , 2007
This book is intended for use by a parent and a child. It is recommended that the parent have some familiarity with geometry, but this is not necessary. The parent can simply read the chapter before teaching the child and then learn it together.
(8904 views)

Geometry and BilliardsGeometry and Billiards
by Serge Tabachnikov , 1991
Mathematical billiards describe the motion of a mass point in a domain with elastic reflections from the boundary. Billiards is not a single mathematical theory, it is rather a mathematician’s playground where various methods are tested.
(6575 views)

A Text-Book of GeometryA Text-Book of Geometry
by G. A. Wentworth - Ginn & Company , 1898
Introduction to geometry, the straight line, circle, proportional lines and similar polygons, areas of polygons, regular polygons and circles. The book includes exercises: theorems, problems of construction, loci, and problems of computation.
(20639 views)