{"text_format":"2","workbook":"xls","n_sheets":1,"sheets":["report2"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":1,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"report2","index":0,"n_rows":23,"n_cols":5,"rows_kept":23,"cut":false,"hidden":false,"merged":[[0,2,0,3],[0,4,0,5],[1,2,1,3],[1,4,1,5],[2,2,2,3],[2,4,2,5],[3,2,3,3],[5,2,5,3],[6,2,6,3],[7,2,7,3],[8,2,8,3],[9,2,9,3],[11,2,11,3],[12,2,12,3],[16,2,16,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNINA9910798064503321"]
[null,null,"Autore",null,"Barry Patrick D."]
[null,null,"Titolo",null,"Geometry with trigonometry / / Patrick D. Barry"]
[null,null,"Pubbl/distr/stampa",null,"Cambridge, England : , : Woodhead Publishing, , 2016"]
[{"$nulls":4},"©2016"]
[null,null,"ISBN",null,"0-12-805067-5"]
[null,null,"Edizione",null,"[Second edition.]"]
[null,null,"Descrizione fisica",null,"1 online resource (282 p.)"]
[null,null,"Disciplina",null,"516"]
[null,null,"Soggetti",null,"Geometry - Study and teaching"]
[{"$nulls":4},"Trigonometry"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Front 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"]
[{"$nulls":4},"2.1 Lines, segments and half-lines 2.2 Open and closed half-planes ; 2.3 Angle-supports, interior and exterior regions, angles ; 2.4 Triangles and convex quadrilaterals ; Exercises                                           ; 3. Distance;  degree-measure of an angle ; 3.1 Distance ; 3.2 Mid-points ; 3.3 A ratio result ; 3.4 The cross-bar theorem ; 3.5 Degree-measure of angles ; 3.6 Mid-line of an angle-support ; 3.7 Degree-measure of reflex angles ; Exercises                                           ; 4. Congruence of triangles;  parallel lines ; 4.1 Principles of congruence"]
[{"$nulls":4},"4.2 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"]
[{"$nulls":4},"6.3 Cartesian equation of a line 6.4 Parametric equations of a line ; 6.5 Perpendicularity and parallelism of lines ; 6.6 Projection and axial "]
[{"$nulls":4},"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"]
[{"$nulls":4},"8.2 Isometries 8.3 Translation of frame of reference ; Exercises                                           ; 9. Trigonometry;  cosine and sine;  addition formulae ; 9.1 Indicator of an angle ; 9.2 Cosine and sine of an angle ; 9.3 Angles in standard position ; 9.4 Half angles ; 9.5 The cosine and sine rules ; 9.6 Cosine and sine of angles equal in magnitude ; 10. Complex coordinates;  sensed angles;  angles between lines ; 10.1 Complex coordinates ; 10.2 Complex-valued distance ; 10.3 Rotations and axial symmetries ; 10.4 Sensed angles ; 10.5 Sensed-area ; 10.6 Isometries as compositions"]
[{"$nulls":4},"10.7 Orientation of a triple of noncollinear points"]