03785cam a2200457Ii 4500001001300000003000600013005001700019006001900036007001500055008004100070040009500111020003400206020003100240020001800271020001500289035002100304050002300325072002500348082002100373100003200394245007600426250001200502264007100514264001200585300003900597336002600636337002600662338003600688504005100724588008100775520203000856650001402886650001802900650004602918650004002964650004403004655002203048776016303070856007503233999001903308ocn933559723OCoLC20190328114813.0m     o  d        cr cnu|||unuuu151230t20162016ne a    ob    001 0 eng d  aN$TbengerdaepncN$TdYDXCPdN$TdOCLCFdOPELSdUIUdNRCdU3WdD6HdWYUdLOAdCOCUFdVT2  a9780128050675qelectronic bk.  a0128050675qelectronic bk.  z9780128050668  z0128050667  a(OCoLC)933559723 4aQA531b.B37 2015eb 7aMATx0120002bisacsh04a516.24bB28g2231 aBarry, Patrick D.,eauthor.10aGeometry with trigonometry / h[electronic resource]cPatrick D. Barry.  a2nd ed. 1aAmsterdam :bWoodhead Publishing is an imprint of Elsevier,c2016. 4c�2016  a1 online resource :billustrations  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  aIncludes bibliographical references and index.0 aOnline resource; title from PDF title page (EBSCO, viewed January 19, 2016).  aGeometry 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. 0aGeometry. 0aTrigonometry. 7aMATHEMATICS / Geometry / General2bisacsh 7aGeometry.2fast0(OCoLC)fst00940864 7aTrigonometry.2fast0(OCoLC)fst01156713 4aElectronic books.08iPrint version:aBarry, Patrick D.tGeometry with trigonometry.bSecond edition.dCambridge, England : Woodhead Publishing, c2016hxx, 260 pagesz9780128050668403ScienceDirectuhttp://www.sciencedirect.com/science/book/9780128050668  c247268d247268