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Euclidean and transformational geometry : a deductive inquiry

Author: Shlomo Libeskind
Publisher: Sudbury, Mass. : Jones and Bartlett Publishers, ©2008.
Edition/Format:   Print book : EnglishView all editions and formats
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Shlomo Libeskind
ISBN: 0763743666 9780763743666
OCLC Number: 162507292
Description: ix, 371 pages : illustrations (some color) ; 29 cm
Contents: 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.
Responsibility: Shlomo Libeskind.
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