000 03077nam a2200337 4500
001 OTLid0000508
003 MnU
005 20201105133335.0
006 m o d s
008 180907s2013 mnu o 0 0 eng d
040 _aMnU
_beng
_cMnU
050 4 _aQA1
100 1 _aAfrick, Henry
_eauthor
245 0 0 _aElementary College Geometry
_cHenry Africk
264 2 _bOpen Textbook Library
264 1 _bCUNY Academic Works
300 _a1 online resource
490 0 _aOpen textbook library.
505 0 _aPreface -- Chapter I Lines Angles And Triangles -- Chapter II Congruent Triangles -- Chapter III Quadrilaterals -- Chapter IV Similar Triangles -- Chapter V Trigonometry Of The Right Triangle -- Chapter VI Area And Perimeter -- Chapter VII Regular Polygons And Circles -- Appendix -- Values Of The Trigonometric Functions -- Answers To Odd Numbered Problems -- Bibliography -- List Of Symbols -- Index
520 0 _aThis text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. The only prerequisite is a semester of algebra. The emphasis is on applying basic geometric principles to the numerical solution of problems. For this purpose the number of theorems and definitions is kept small. Proofs are short and intuitive, mostly in the style of those found in a typical trigonometry or precalculus text. There is little attempt to teach theorem-proving or formal methods of reasoning. However the topics are ordered so that they may be taught deductively. The problems are arranged in pairs so that just the odd-numbered or just the even-numbered can be assigned. For assistance, the student may refer to a large number of completely worked-out examples. Most problems are presented in diagram form so that the difficulty of translating words into pictures is avoided. Many problems require the solution of algebraic equations in a geometric context. These are included to reinforce the student's algebraic and numerical skills, A few of the exercises involve the application of geometry to simple practical problems. These serve primarily to convince the student that what he or she is studying is useful. Historical notes are added where appropriate to give the student a greater appreciation of the subject. This book is suitable for a course of about 45 semester hours. A shorter course may be devised by skipping proofs, avoiding the more complicated problems and omitting less crucial topics.
542 1 _fAttribution-NonCommercial-ShareAlike
546 _aIn English.
588 0 _aDescription based on online resource
650 0 _aMathematics
_vTextbooks
710 2 _aOpen Textbook Library
_edistributor
856 4 0 _uhttps://open.umn.edu/opentextbooks/textbooks/508
_zAccess online version
999 _c19890
_d19890