03785cam a2200457Ii 4500 ocn933559723 OCoLC 20190328114813.0 m o d cr cnu|||unuuu 151230t20162016ne a ob 001 0 eng d N$T eng rda pn N$T YDXCP N$T OCLCF OPELS UIU NRC U3W D6H WYU LOA COCUF VT2 9780128050675 electronic bk. 0128050675 electronic bk. 9780128050668 0128050667 (OCoLC)933559723 QA531 .B37 2015eb MAT 012000 bisacsh 516.24 B28g 23 Barry, Patrick D., author. Geometry with trigonometry / [electronic resource] Patrick D. Barry. 2nd ed. Amsterdam : Woodhead Publishing is an imprint of Elsevier, 2016. �2016 1 online resource : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. Online resource; title from PDF title page (EBSCO, viewed January 19, 2016). Geometry with Trigonometry Second Edition is a second course in plane Euclidean geometry, second in the sense that many of its basic concepts will have been dealt with at school, less precisely. It gets underway with a large section of pure geometry in Chapters 2 to 5 inclusive, in which many familiar results are efficiently proved, although the logical frame work is not traditional. In Chapter 6 there is a convenient introduction of coordinate geometry in which the only use of angles is to handle the perpendicularity or parallelism of lines. Cartesian equations and parametric equations of a line are developed and there are several applications. In Chapter 7 basic properties of circles are developed, the mid-line of an angle-support, and sensed distances. In the short Chaper 8 there is a treatment of translations, axial symmetries and more generally isometries. In Chapter 9 trigonometry is dealt with in an original way which e.g. allows concepts such as clockwise and anticlockwise to be handled in a way which is not purely visual. By the stage of Chapter 9 we have a context in which calculus can be developed. In Chapter 10 the use of complex numbers as coordinates is introduced and the great conveniences this notation allows are systematically exploited. Many and varied topics are dealt with , including sensed angles, sensed area of a triangle, angles between lines as opposed to angles between co-initial half-lines (duo-angles). In Chapter 11 various convenient methods of proving geometrical results are established, position vectors, areal coordinates, an original concept mobile coordinates. In Chapter 12 trigonometric functions in the context of calculus are treated. New to this edition: The second edition has been comprehensively revised over three yearsErrors have been corrected and some proofs marginally improvedThe substantial difference is that Chapter 11 has been significantly extended, particularly the role of mobile coordinates, and a more thorough account of the material is given. Geometry. Trigonometry. MATHEMATICS / Geometry / General bisacsh Geometry. fast (OCoLC)fst00940864 Trigonometry. fast (OCoLC)fst01156713 Electronic books. Print version: Barry, Patrick D. Geometry with trigonometry. Second edition. Cambridge, England : Woodhead Publishing, c2016 xx, 260 pages 9780128050668 ScienceDirect http://www.sciencedirect.com/science/book/9780128050668 247268 247268