LEADER 04695nam 2200625 450 001 9910798064503321 005 20200520144314.0 010 $a0-12-805067-5 035 $a(CKB)3710000000550331 035 $a(EBL)4202886 035 $a(SSID)ssj0001637502 035 $a(PQKBManifestationID)16395850 035 $a(PQKBTitleCode)TC0001637502 035 $a(PQKBWorkID)14956081 035 $a(PQKB)11630569 035 $a(Au-PeEL)EBL4202886 035 $a(CaPaEBR)ebr11135964 035 $a(CaONFJC)MIL569002 035 $a(OCoLC)935251108 035 $a(MiAaPQ)EBC4202886 035 $a(PPN)193663058 035 $a(EXLCZ)993710000000550331 100 $a20160115h20162016 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGeometry with trigonometry /$fPatrick D. Barry 205 $aSecond edition. 210 1$aCambridge, England :$cWoodhead Publishing,$d2016. 210 4$dİ2016 215 $a1 online resource (282 p.) 300 $aDescription based upon print version of record. 311 $a0-12-805066-7 320 $aIncludes bibliographical references and index. 327 $aFront Cover ; Geometry with Trigonometry ; Copyright ; Dedication ; Contents ; About the author ; Preface ; Glossary ; 1. Preliminaries ; 1.1 Historical note ; 1.2 Note on deductive reasoning ; 1.3 Euclid's the elements ; 1.4 Eur approach ; 1.5 Revision of geometrical concepts ; 1.6 Pre-requisites ; 2. Basic shapes of geometry 327 $a2.1 Lines, segments and half-lines 2.2 Open and closed half-planes ; 2.3 Angle-supports, interior and exterior regions, angles ; 2.4 Triangles and convex quadrilaterals ; Exercises ; 3. Distance; degree-measure of an angle ; 3.1 Distance ; 3.2 Mid-points ; 3.3 A ratio result ; 3.4 The cross-bar theorem ; 3.5 Degree-measure of angles ; 3.6 Mid-line of an angle-support ; 3.7 Degree-measure of reflex angles ; Exercises ; 4. Congruence of triangles; parallel lines ; 4.1 Principles of congruence 327 $a4.2 Alternate angles, parallel lines 4.3 Properties of triangles and half-planes ; Exercises ; 5. The parallel axiom; euclidean geometry ; 5.1 The parallel axiom ; 5.2 Parallelograms ; 5.3 Ratio results for triangles ; 5.4 Pythagoras' theorem, c. 550b.c. ; 5.5 Mid-lines and triangles ; 5.6 Area of triangles, and convex quadrilaterals and polygons ; Exercises ; 6. Cartesian coordinates; applications ; 6.1 Frame of reference, cartesian coordinates ; 6.2 Algebraic note on linear equations 327 $a6.3 Cartesian equation of a line 6.4 Parametric equations of a line ; 6.5 Perpendicularity and parallelism of lines ; 6.6 Projection and axial symmetry ; 6.7 Coordinate treatment of harmonic ranges ; Exercises ; 7. Circles; their basic properties ; 7.1 Intersection of a line and a circle ; 7.2 Properties of circles ; 7.3 Formula for mid-line of an angle-support ; 7.4 Polar properties of a circle ; 7.5 Angles standing on arcs of circles ; 7.6 Sensed distances ; 8. Translations; axial symmetries; isometries ; 8.1 Translations and axial symmetries 327 $a8.2 Isometries 8.3 Translation of frame of reference ; Exercises ; 9. Trigonometry; cosine and sine; addition formulae ; 9.1 Indicator of an angle ; 9.2 Cosine and sine of an angle ; 9.3 Angles in standard position ; 9.4 Half angles ; 9.5 The cosine and sine rules ; 9.6 Cosine and sine of angles equal in magnitude ; 10. Complex coordinates; sensed angles; angles between lines ; 10.1 Complex coordinates ; 10.2 Complex-valued distance ; 10.3 Rotations and axial symmetries ; 10.4 Sensed angles ; 10.5 Sensed-area ; 10.6 Isometries as compositions 327 $a10.7 Orientation of a triple of noncollinear points 606 $aGeometry$xStudy and teaching 606 $aTrigonometry$vProblems, exercises, etc 615 0$aGeometry$xStudy and teaching. 615 0$aTrigonometry 676 $a516 700 $aBarry$b Patrick D.$01557929 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910798064503321 996 $aGeometry with trigonometry$93821927 997 $aUNINA