Exploring Geometry

Errata (First Edition, First Printing)

This web page lists errors that have been discovered in the first edition of the text Geometry with Geometry Explorer, by Mike Hvidsten, published by McGraw-Hill, January 2005.  Please note that any changes involving mathematical notation are expressed in TeX form.
If you discover errors other than those listed, please email them to hvidsten(at)gustavus.edu


Page(s)
Line(s)
Description
Date
Discoverer
16
15
The term GE should be marked as a ray, instead of a segment.
Oct. 11, 2006
Kristin Sturm
54
Def 2.5
Many authors define supplementary in terms of angle measure, and use the term "linear pair" for Def 2.5.  The author wished to keep the angle definitions free from language of angle measure, and still keep the more familiar notion of supplementarity, thus the motivation for the definition as stated.
February 12, 2006
Dr. Mohammad Salmassi
60
(-12)
Replace "exterior angle" with "corresponding angles"
June 19, 2008
Scott Johnson
66
8
Replace "four axioms of 'order'" with "four axioms of 'order' or 'betweenness'"
Sept. 20, 2006
Mike Hvidsten
66
9
Replace "Pasch's Axiom" with "Pasch's Axioms of order"
Sept. 20, 2006 Mike Hvidsten
67
Def 2.16
Replace "\angle{ABC}" with "\angle{CAB}"
Sept. 19, 2006 Josh McCollam
76 Def 2.20 Replace "into congruent pairs." with "into congruent pairs, or if one figure can be made congruent to the other by adding or deleting pairs of congruent polygonal pieces." Feb. 28, 2013 Mike Hvidsten
122
Ex 3.3.2
The equation listed should have an arrow over the "D" term.
Sept. 29, 2006
Kendi L Beyer
130
(-7)
Replace "x^2 +1 has a solution" with "x^2 +1=0 has a solution"
May 6, 2012
Tobi Lehman
135
(-8)
The line should start "2Ax + 2By + ..." instead of "2Ax + 2Bx + ..." April 13, 2008
Scott Johnson
135
(-6)
The line should end "... + 2Ax + 2By = C + D" instead of "... + 2AX + 2By = C + D" April 13, 2008 Scott Johnson
184
7
Replace "Let l, n be parallel" with "Let l, m be parallel"
June 19, 2008
Scott Johnson
191
Fig. 5.5
Caption should be "Insect and Arachnid  Symmetry"
June 19, 2008 Scott Johnson
193
Ex 5.2.14
Replace two instances of "product" with "composition"
3-9-2006
Nancy Wrinkle
194
5
Replace "y-(-2K-y)" with "y-(-2K -(-y))"
11-7-2006
Megan Reinders
199
13
Add a new sentence "(r_m(l_1) = {r_m(A) | A is on l_1})"
3-9-2006
Nancy Wrinkle
201
16 (-6)
Replace "Let R be a rotation" with
"Let R \ne id be a rotation"
10-16-2006
Mike Hvidsten
202
1
Replace "For the second part of the theorem, we can assume B has ..." with "For the second part of the theorem, note that if m \angle{B O R(B)} is \theta, then m \angle{B'O R(B')} is \theta for all points on \line{OB}. So, we can assume that B has ..."
10-16-2006
Mike Hvidsten
202
7
Replace  "then \overline{A R(A)} \cong \overline{B R(B)}, and by" with
"then \overline{A R(A)} \cong \overline{B R(B)}.  If A, O, and R(A) are collinear, then A and R(A) are on oppositie sides of O on \line{OA}. Also, B, O, and R(B) must be collinear and on opposite sides of O on \line{OB}, as if they were not, we would get a triangle whose sides do not satisfy the triangle inequality (Prop I-20 of Book I of The Elements.  If A, O and R(A) are non-collinear, then by ..."
10-16-2006
Mike Hvidsten
216
23
Replace "the fourth condition is true" with "the second condition is true"
3-21-2006
Mike Hvidsten
230
15 (-4)
Replace "center at A" with "center at B".
11-4-2005
Mike Hvidsten
238-239

All references to the "dihedral group of order n" should be replaced by "dihedral group of order 2n".
11-15-2004
Geometry class at Gustavus - fall 2004
247
6
Replace "skew" with "not parallel"
11-29-2004
Preston Nichols
270
12
Replace "Also, neither of these can intersect l at a point other than P inside the boundary circle."  with "Also, neither of these can intersect l at a point inside the boundary circle." 11-29-2004 Preston Nichols
282
21
In the statement of the Theorem, add the phrase "and passes through an interior point of the triangle," after the phrase "triangle PQ/Omega"
11-27-226
Wendy Weber
291
(-5)
Theorem 7.10 should start "Let ABDC be a Lamert quadrilateral "
6-19-2008
Scott Johnson
297
11, 12
(Ex 7.5.11)
Replace two occurences of "equal" with "congruent"
12-4-2005
Mike Hvidsten
329
24 (-5)
Replace "will map the disk to f" with "will map the disk to c" 11-29-2004
Mike Hvidsten
356
Last line
Replace "Fig. 9.2"  with "Fig. 9.3"
11-17-2006
Tami Kreykes
372
2
Replace "valueof" with "value of"
11-17-2006
Mike Hvidsten
405
20
Repace "then DB < AB, DC < AC" with "then DB+DC < AB+AC"
2-21-2006
Rebecca Krakowski
457

The index entries for "AAS" and "ASA" should refer to page 64, not page 63.
10-19-2006
Christa Stocks