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Geometry with Trigonometry / Patrick D. Barry, Professor Emeritus of Mathematics, School of Mathematical Sciences, University College, Cork
Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Verlag: Amsterdam ; Boston ; Cambridge ; Heidelberg : Elsevier ; WP Woodhead Publishing is an imprint of Elsevier, [2016]Auflage: 2nd editionBeschreibung: 1 Online-RessourceISBN:- 9780128050675
- 9781306377515
- 9780128050668
- 516.2
- QA445
Inhalte:
Zusammenfassung: 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 -- 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 -- 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 -- 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 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.PPN: PPN: 845286617Package identifier: Produktsigel: BSZ-30-PQE-K1DLR | ZDB-30-PAD | ZDB-30-PQE
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