TY - BOOK
AU - Libeskind, Shlomo.
TI - Euclidean and transformational geometry: a deductive inquiry
SN - 9780763743
AV - QA453 .L53 2008
U1 - 516 22
PY - 2008///
CY - Sudbury, Mass.
PB - Jones and Bartlett Publishers
KW - Geometry
KW - Transformations (Mathematics)
N1 - 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
UR - http://www.loc.gov/catdir/toc/ecip0724/2007031433.html
ER -