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The Resource Euclidean and transformational geometry : a deductive inquiry, Shlomo Libeskind

Euclidean and transformational geometry : a deductive inquiry, Shlomo Libeskind

Label
Euclidean and transformational geometry : a deductive inquiry
Title
Euclidean and transformational geometry
Title remainder
a deductive inquiry
Statement of responsibility
Shlomo Libeskind
Creator
Subject
Language
eng
Cataloging source
DLC
Dewey number
516
Illustrations
illustrations
Index
index present
LC call number
QA453
LC item number
.L53 2008
Literary form
non fiction
Nature of contents
bibliography
Label
Euclidean and transformational geometry : a deductive inquiry, Shlomo Libeskind
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 365) and index
Carrier category
volume
Carrier MARC source
rdacarrier
Content category
text
Content type MARC source
rdacontent
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
Dimensions
29 cm.
Extent
ix, 371 p.
Isbn
9780763743666
Lccn
2007031433
Media category
unmediated
Media MARC source
rdamedia
Other physical details
ill. (some col.)
System control number
(OCoLC)ocn377525252
Label
Euclidean and transformational geometry : a deductive inquiry, Shlomo Libeskind
Publication
Bibliography note
Includes bibliographical references (p. 365) and index
Carrier category
volume
Carrier MARC source
rdacarrier
Content category
text
Content type MARC source
rdacontent
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
Dimensions
29 cm.
Extent
ix, 371 p.
Isbn
9780763743666
Lccn
2007031433
Media category
unmediated
Media MARC source
rdamedia
Other physical details
ill. (some col.)
System control number
(OCoLC)ocn377525252

Library Locations

    • Harold B. Lee Library Brigham Young University, Provo, UT, 84602, US
      40.249156 -111.649242
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