LEADER 00000cam  2200000 a 4500 
001    ocn192082885 
003    OCoLC 
005    20090327010000.0 
008    090202t20092009nyua          001 0 eng   
010      2009285322 
020    9780071544122 
020    0071544127 
035    (OCoLC)192082885 
040    DLC|beng|cDLC|dCOO|dBTCTA|dBAKER|dYDXCP|dGO6|dORX|dVP@
       |dCRH|dNMP|dQBX|dNOR 
049    CKEA 
050 00 QA445|b.R53 2009 
082 00 516|222 
100 1  Rich, Barnett,|d1906- 
245 10 Geometry :|bincludes plane, analytic, and transformational
       geometries /|cBarnett Rich, Christopher Thomas. 
246 30 Geometry 
246 30 Schaum's outlines geometry 
250    Fourth edition. 
264  1 New York :|bMcGraw Hill,|c[2009] 
264  4 |c©2009 
300    x, 326 pages :|billustrations ;|c28 cm. 
336    text|btxt|2rdacontent 
337    unmediated|bn|2rdamedia 
338    volume|bnc|2rdacarrier 
490 1  Schaum's outlines 
500    Includes index. 
505 00 |gch . 1.|tLines, angles, and triangles --|g1.1.
       |tHistorical background of geometry --|g1.2.|tUndefined 
       terms of geometry : point, line, and plane --|g1.3.|tLine 
       segments --|g1.4.|tCircles --|g1.5.|tAngles --|g1.6.
       |tTriangles --|g1.7.|tPairs of angles --|gch. 2.|tMethods 
       of proof --|g2.1.|tProof by deductive reasoning --|g2.2.
       |tPostulates (assumptions) --|g2.3.|tBasic angle theorems 
       --|g2.4.|tDetermining the hypothesis and conclusion --
       |g2.5.|tProving a theorem --|gch. 3.|tCongruent triangles 
       --|g3.1.|tCongruent triangles --|g3.2.|tIsosceles and 
       equilateral triangles --|gch. 4.|tParallel lines, 
       distances, and angle sums --|g4.1.|tparallel lines --
       |g4.2.|tDistances --|g4.3.|tSum of the measures of the 
       angles of a triangle --|g4.4.|tSum of the measures of the 
       angles of a polygon --|g4.5.|tTwo new congruency theorems 
       --|gch. 5.|tParallelograms, trapezoids, medians, and 
       midpoints --|g5.1.|tTrapezoids --|g5.2.|tParallelograms --
       |g5.3.|tSpecial parallelograms : rectangle, rhombus, and 
       square --|g5.4.|tThree or more parallels ; medians and 
       midpoints --|gch. 6.|tCircles --|g6.1.|tThe circle ; 
       circle relationships --|g6.2.|tTangents --|g6.3.
       |tMeasurement of angles and arcs in a circle --|gch. 7.
       |tSimilarity --|g7.1.|tRatios --|g7.2.|tProportions --
       |g7.3.|tProportional segments --|g7.4.|tSimilar triangles 
       --|g7.8.|tMean proportionals in a right triangle --|g7.9.
       |tPythagorean theorem --|g7.10.|tSpecial right triangles -
       -|gch. 8.|tTrigonometry --|g8.1.|tTrigonometric ratios --
       |g8.2.|tAngles of elevation and depression --|gch. 9.
       |tAreas --|g9.1.|tArea of a rectangle and of a square --
       |g9.2.|tArea of a parallelogram --|g9.3.|tArea of a 
       triangle --|g9.4.|tArea of a trapezoid --|g9.5.|tArea of a
       rhombus --|g9.6.|tPolygons of the same size or shape --
       |g9.7.|tComparing areas of similar polygons --|gch. 10.
       |tRegular polygons and the circle --|g10.1.|tRegular 
       polygons --|g10.2.|tRelationships of segments in regular 
       polygons of 3, 4, and 6 sides --|g10.3.|tArea of a regular
       polygon --|g10.4.|tRatios of segments and areas of regular
       polygons --|g10.5.|tCircumference and area of a circle --
       |g10.6.|tLength of an arc ; area of a sector and a segment
       --|g10.7.|tAreas of combination figures --|gch. 11.|tLocus
       --|g11.1.|tDetermining a locus --|g11.2.|tLocating points 
       by means of intersecting loci --|g11.3.|tProving a locus -
       -|gch. 12.|tAnalytic geometry --|g12.1.|tGraphs --|g12.2.
       |tMidpoint of a segment --|g12.3.|tDistance between two 
       points --|g12.4.|tSlope of a line --|g12.5.|tLocus in 
       analytic geometry --|g12.6.|tAreas in analytic geometry --
       |g12.7.|tProving theorems with analytic geometry --|gch. 
       13.|tInequalities and indirect reasoning --|g13.1.
       |tInequalities --|g13.2.|tIndirect reasoning --|gch. 14.
       |tImprovement of reasoning --|g14.1.|tDefinitions --
       |g14.2.|tDeductive reasoning in geometry --|g14.3.
       |tConverse, inverse, and contrapositive of a statement --
       |g14.4.|tPartial converse and partial inverse of a theorem
       --|g14.5.|tNecessary and sufficient conditions --|gch. 15.
       |tConstructions --|g15.1.|tIntroduction --|g15.2.
       |tDuplicating segments and angles --|g15.3.|tConstructing 
       bisectors and perpendiculars --|g15.4.|tConstructing a 
       triangle --|g15.5.|tConstructing parallel lines --|g15.6.
       |tCircle constructions --|g15.7.|tInscribing and 
       circumscribing regular polygons --|g15.8.|tConstructing 
       similar triangles --|gch. 16.|tProofs of important 
       theorems --|g16.1.|tIntroduction --|g16.2.|tThe proofs --
       |gch. 17.|tExtending plane geometry into solid geometry --
       |g17.1.|tSolids --|g17.2.|tExtensions to solid geometry --
       |g17.3.|tAreas of solids : square measure --|g17.4.
       |tVolumes of solids : cubic measure --|gch. 18.
       |tTransformations --|g18.1.|tIntroduction to 
       transformations --|g18.2.|tTransformation notation --
       |g18.3.|tTranslations --|g18.4.|tReflections --|g18.5.
       |tRotations --|g18.6.|tRigid motions --|g18.7.
       |tDihilations --|gch. 19.|tNon-Euclidean geometry --
       |g19.1.|tThe foundations of geometry --|g19.2.|tThe 
       postulates of Euclidean geometry --|g19.3.|tThe fifth 
       postulate problem --|g19.4.|tDifferent geometries --
       |gFormulas for references --|gAnswers to supplementary 
       problems --|tIndex. 
520    665 fully solved problems; concise explanations of all 
       geometry concepts; covers solid geometry and 
       transformation. 
650  0 Geometry. 
700 1  Schmidt, Philip A. 
830  0 Schaum's outline series. 
938    Baker and Taylor|bBTCP|nBK0007631036 
938    Baker & Taylor|bBKTY|c18.95|d14.21|i0071544127|n0007631036
       |sactive 
938    YBP Library Services|bYANK|n2833050 
938    Quality Books, Inc.|bQUAL|na  09285322 
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