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Book

Bob Miller's geometry for the clueless : geometry

Call Number

  • 516 M6498 (CEN)

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Edition

2nd ed.

Publication Information

New York : McGraw-Hill, c2006.

Physical Description

xiii, 244 p. : ill. ; 24 cm.

Notes

Includes index.

Contents

  • The Basics: undefined words, some defined words, axioms, and postulates
  • The Beginnings of proofs
  • Improvement of reasoning: statement, converse, inverse, contrapositive; necessary and sufficient conditions; if and only if
  • Parallel lines, forever together
  • Mostly triangles
  • Secrets of proving congruent triangles
  • Similar figures and pythagoras lives!
  • Quadrilaterals squarely done
  • Interior and exterior angles
  • Areal search and securing the perimeter
  • Volumes and surface area
  • Circle 1
  • Lines (the straight kind) and parabolas 1 (not straight)
  • Distance formula, midpoint formula, Circle 2, and analytic geometry proofs
  • Functions, translations, stretches, contractions, flips
  • Parabolas 2, ellipses, hyperbolas
  • Right and not so right-angle trig, law of sines, law of cosines
  • Constructions
  • Indirect proofs; disproving by counterexamples; too much, just enough or not enough
  • Miscellaneous: locus, parallel lines, larger and smaller sides and angles
  • Sets; geometry on the 2005 (beyond and a little before) SAT I
  • Always-sometimes-never.

Subjects