Geometry with trigonometry / Patrick D. Barry.

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Bibliographic Details
Main Author: Barry, Patrick D. (Author)
Format: eBook
Language:English
Published: Amsterdam : Academic Press, 2015.
Edition:Second edition.
Subjects:
Online Access:Click for online access

MARC

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245 1 0 |a Geometry with trigonometry /  |c Patrick D. Barry. 
250 |a Second edition. 
264 1 |a Amsterdam :  |b Academic Press,  |c 2015. 
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505 0 |a 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. 
505 8 |a 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. 
505 8 |a 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. 
505 8 |a 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; axial symmetries; isometries ; 8.1 Translations and axial symmetries. 
505 8 |a 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. 
504 |a Includes bibliographical references and index. 
650 0 |a Geometry. 
650 0 |a Euclidean algorithm. 
650 0 |a Trigonometry. 
650 7 |a geometry.  |2 aat 
650 7 |a trigonometry.  |2 aat 
650 7 |a Euclidean algorithm  |2 fast 
650 7 |a Geometry  |2 fast 
650 7 |a Trigonometry  |2 fast 
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776 0 8 |i Print version :  |z 9780128050668 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=4202886  |y Click for online access 
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