A High School First Course in Euclidean Plane Geometry (Google eBook)

Front Cover
Universal-Publishers, 2010 - Mathematics - 166 pages
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A High School First Course in Euclidean Plane Geometry is intended to be a first course in plane geometry at the high school level. Individuals who do not have a formal background in geometry can also benefit from studying the subject using this book. The content of the book is based on Euclid's five postulates of plane geometry and the most common theorems. It promotes the art and the skills of developing logical proofs. Most of the theorems are provided with detailed proofs. A large number of sample problems are presented throughout the book with detailed solutions. Practice problems are included at the end of each chapter and are presented in three groups: geometric construction problems, computational problems, and theorematical problems. The answers to the computational problems are included at the end of the book. Many of those problems are simplified classic engineering problems that can be solved by average students. The detailed solutions to all the problems in the book are contained in the Solutions Manual. A High School First Course in Euclidean Plane Geometry is the distillation of the author's experience in teaching geometry over many years in U.S. high schools and overseas. The book is best described in the introduction. The prologue offers a study guide to get the most benefits from the book.
  

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Contents

I
1
II
2
IV
3
VIII
4
X
5
XI
6
XIII
7
XIV
8
XCI
66
XCIII
67
XCIV
68
XCVI
69
XCVII
70
C
71
CI
74
CII
75

XV
9
XVII
10
XX
11
XXI
12
XXIII
14
XXV
15
XXVII
17
XXVIII
18
XXIX
19
XXX
20
XXXI
21
XXXII
23
XXXIV
24
XXXV
25
XXXVII
26
XXXVIII
28
XXXIX
29
XLIII
30
XLVII
31
XLVIII
32
L
35
LI
36
LII
37
LIII
38
LIV
39
LV
40
LVIII
41
LX
42
LXI
43
LXII
44
LXIII
45
LXV
46
LXVI
51
LXVII
52
LXVIII
53
LXIX
54
LXX
55
LXXI
59
LXXIII
60
LXXVII
61
LXXX
62
LXXXII
63
LXXXVI
64
LXXXVII
65
CIII
76
CIV
78
CV
79
CVI
80
CVII
81
CIX
83
CXII
84
CXIII
85
CXV
86
CXVI
89
CXVII
90
CXVIII
91
CXXI
92
CXXIII
93
CXXIV
94
CXXV
95
CXXVII
97
CXXIX
98
CXXXI
99
CXXXII
104
CXXXIII
105
CXXXV
106
CXXXVIII
107
CXXXIX
108
CXLII
109
CXLIV
110
CXLV
111
CXLVI
112
CXLVII
113
CXLVIII
114
CL
115
CLI
116
CLII
117
CLIII
118
CLV
119
CLVIII
120
CLXI
121
CLXII
125
CLXIII
129
CLXIV
134
CLXV
140
CLXVI
142
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