Euclidean and transformational geometry : a deductive inquiry /
by Libeskind, Shlomo.
Material type:
Item type | Location | Call number | Status | Date due |
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Epoka University Library
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QA 453 .L53 2008 (Browse shelf) | Available |
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QA 445 .R53 1999 Schaum's outline of theory and problems of geometry : | QA 447 .M357 1982 The fractal geometry of nature / | QA 447 .P45 1986 The beauty of fractals : | QA 453 .L53 2008 Euclidean and transformational geometry : | QA 531 .A97 1999 Schaum's outline of theory and problems of trigonometry : | QA 691 .B26 1990 Beyond the third dimension | QA 765 .S495 1987 Introduction to computer information systems / |
Includes bibliographical references (p. 365) and index.
The treasure island problem -- The nine-point circle -- Morley's theorem -- The hiker's path -- The shortest highway -- Steiner's minimum distance problem -- The Pythagorean theorem -- Congruence, constructions, and the parallel postulate -- Angles and their measurement -- Congruence of triangles -- The parallel postulate and its consequences -- More on construction -- Circles -- Basic properties of arcs, central and inscribed angles -- Circles inscribed in polygons -- More on constructions -- Area and the pythagorean theorem -- Areas of polygons -- The Pythagorean theorem -- The distance formula -- Similarity -- Ratio, proportion and similar polygons -- Further applications of the side splitting theorem and similarity -- Areas of similar figures -- The golden ratio and the construction of a regular pentagon -- Circumference and area of a circle -- Other recursive formulas for evaluating [pi] -- Trigonometric functions -- Isometries -- Reflections, translations, and rotations -- Congruence and Euclidean constructions -- More on extremal problems -- Similarity transformation with applications to constructions -- Composition of transformations and transformation groups -- In search for new isometries -- Composition of rotations, the treasure island problem and other treasures -- More recent discoveries -- The nine-point circle and other results -- Complex numbers and geometry.
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