Product Description
This Elibron Classics book is a facsimile reprint of a 1863 edition by Macmillan and Co., Cambridge - London. ... Read more

Book Description
An Unabridged Printing, With Text And All Figures Digitally Enlarged. Chapters Include: PLANE GEOMETRY - Rectilinear Figures - The Circle - Proportion - Similar Polygons - Areas Of Polygons - Regular Polygons And Circles - Appendix To Plane Geometry (Symmetry, Maxima And Minima) - SOLID GEOMETRY - Lines And Planes In Space - Polyhedrons, Cylinders, And Cones - The Sphere - Appendix To Solid Geometry - Recreations Of Geometry - Suggestions As To Beginning Demonstrative Geometry - Applications Of Geometry - The History Of Geometry - Table Of Formulas - Comprehensive Index ... Read more

Book Description
Covers topics in plane and solid (space) geometry. Pictorial diagrams with thorough explanations on solving problems in congruence, parallelism, inequalities, similarities, triangles, circles, polygons, constructions, and coordinate/analytic geometry. An invaluable aid for students. ... Read more

Customer Reviews (1)

GREAT BOOK
A great book loaded with proofs for geometry (SAS, CPCTC, etc) and geometic problems (Pythagorean Therom). ... Read more

Product Description
This Elibron Classics book is a facsimile reprint of a 1906 edition by the Macmillan Company, New York. ... Read more

Book Description
EXAMNotes are double-sided, laminated cards that contain all the information students need on a single reference card. They are colorful and exceptionally well-organized to simplify and speed study.The most often used and required facts and formulas are included.EXAMNotes function as study tools, homework aids, for reference at work.Each laminated card measures 8.5" x 11". ... Read more

Book Description
Schaum's Outline of Geometry is a revised edition of this very successful solved-problem outline first published in 1963. "Measure of an angle" terminology and metric as well as customary units are used throughout. Dates and amounts, sections on quantifiers, and laws of reasoning have been updated. Analytic geometry and transformational geometry has been added and the section on solid geometry shortened in line with the recent national curriculum changes. The book integrates plane geometry with arithmetic, algebra, numerical trigonometry, analytic geometry, and simple logic. For plane geometry courses in high schools and colleges and for those who want independent self study. 712 Solved Problems are included. Additionally, this book includes hundreds of supplementary problems. ... Read more

Customer Reviews (8)

Caution - There are Mistakes
I bought this book to use with my daughter for added drill and review of Geometry and was shocked to find an inaccurate mathematical statement after the Commutative Law of Multiplication (3a X 5 = 5 X 2a = 10a) and three errors in the solutions provided to practice questions in the first eight pages.I haven't ventured further, but based on my experience thus far, I will need to review every example and problem for accuracy, something I hadn't planned to do and shouldn't need to do.

Excellent if you need a refresher course in geometry
I found myself needing to review geometry for the SAT and needed a succinct, clear, and accurate guide. This outline has more than exceeded my expectations. By the time I worked through most of the problems in this book, my geometry skills had doubled and the SAT geometry was relatively easy.

I highly reccomend this book as either a refresher guide or as a textbook.

Review and practice
This is a great way to reivew principles and then use the problems for additional practice.Some problems are fully worked, others have only the answer listed.Great addition for someone who learns best by doing problems.

Good for drilling but not for teaching
We know from the book's success and from other reviewers that it is good for preparing students who need many easy exercises to drill for a rudimentary exam in geometry. I want to discuss it from the point of view of teaching a student who is interested or could become interested in learning geometry.

In a rigorous presentation of geometry one starts by treating "point", "straight line" (and "plane" in solid geometry) as undefined terms. One states their assumed properties as postulates. One defines all other objects in geometry in terms of these and one derives all other assertions about about geometric objects by logical reasoning alone; one may not use without proof even what is obvious from looking at a figure, e.g., that if two points A, B are inside a triangle then the entire line segment AB is inside.

The teaching of geometry in high school has long been intended as an example of rigorous reasoning but to fully adhere to the above standard would make a course too subtle, long and boring. The challenge for the writer of a school textbook or a curriculum is to present a reasonable amount of geometry, especially geometry needed in applications, and to loosen the standards of rigor by not dwelling much on rigorously proving what is obvious.

How does this book handle the problem? A thin veneer of rigor appears in some places, to be abandoned after a few paragraphs. On pp. 64-65 the book stresses that "point", "line" and "plane" are undefined terms. But it immediately goes on to tell us that if a line segment is divided into parts the length of a line segment is the sum of the lengths of its parts. So, "line" is an undefined term but the book feels free to talk about its segments and their lengths without further explanation.

On pp. 85-86 the book lists 10 postulates of algebra. They are all instances of the fact that in an algebraic expression we may replace any quantity by one that is equal to it. The distributive, associative and commutative laws are not among the postulates but of course the book does not hesitate to use those. After the 10 postulates of algebra come the geometry postulates 11-19. Postulate 14 says that one and only one circle can be drawn with a given point as center and a given radius. Since a circle has been defined on p. 67 as the set of all points at a given distance from the center, it should have been obvious to the authors that there is no need to state this as a postulate. Postulate 15 says that any geometric figure can be moved without changing its size or shape. Needless to say, nowhere was "moving" defined in terms of the undefined concepts point and line.

In sum, there are a few pages in the book where the student is told that geometry is built up by deductive reasoning but they seem to have been inserted as an afterthought and bear no relation to the bulk of the book. With the logic of the book muddled, how are students to know what they can use in a proof? Here "principle"-s come to the rescue. The book contains about 200 "principles". Examples: principle 6 on p. 146: The diagonals of a parallelogram bisect each other. Principle 4 on p. 153: the median of a trapezoid is parallel to its bases and its length is equal to one half the sum of its bases. A few pages later the student is asked to prove some trivialities and if he guesses that of the countless "principles" he has read, the ones he needs to use are among the ones immediately preceding the problem, he will be right.

How far does the book get into geometry? Let A,B,C,D be points on a circle and E be the intersection of AC and BD. Facts about the angles and lengths of this configuration are given much space and, together with Pythagoras' Theorem, represent the limits of the book's scope. As another reviewer noted already, the cover promises solid geometry but the book has none.

Redeeming features of the book are chapter 15, pp. 291-305, which gives the basic ruler and compass constructions and chapter 16, pp. 306-317, which lists and properly proves the theorems of substance in the book. The way I see it, these 27 pages contain the mathematics of the book; the rest is drill.

If your student has or could develop an interest in math, science or technology, the geometry book for him/her is Harold R. Jacobs: Geometry (W.H. Freeman). Math has been my preoccupaton for 60 years but it was still a revelation that geometry could be presented in such a stimulating and attractive manner. There is no straying from or diluting the subject as in other big colorful textbooks. The price is high but worth it. [...]

A book that tutors can teach from...for students with desire
This book is suitable for high school or first year college students who have to take geometry.It is a no-frills, basics package that all students can master, if they take the time.I agree with the previous reviewer that students should make flash cards of definitions and theorems, but doing problems simultaneously, section-by-section, will not hurt.

For students, this is a good book to practice basic math study skills: (1) predict what you are going to learn by skimming, (2) survey the material, (3) question the material (what do I not know now?) (4) read (no more than 45 minutes at a setting -- or you'll get a brain cramp), (5) recite (from your outline and flash cards, and (6) review and prepare for your test.This book is well written but for new geometry students, it can be pretty dense, so you should practice reading and concentrating every day, up to 45 minutes at a setting.

I found two problems with the book: (1) It says on the cover that it covers "solid" geometry.It does not.All the geometry is in 2 dimensions. (2) It says that it covers analytic geometry.It touches analytic geometry only peripherally.

Good luck! ... Read more

Book Description
An Unabridged Printing, To Include Over 400 Figures: INTRODUCTION - Elementary Definitions - The Demonstrations Of Geometry - Preliminary Propositions - PLANE GEOMETRY - RECTILINEAR FIGURES - Triangles - Parallels And Parallelograms - Problems - Loci Of Points - EQUALITY OF POLYGONS - Theorems- Problems - Practical Mensuration - CIRCLES - Definitions - Central Angles - Chords And Tangents - Angles Formed By Chords, Secants, And Tangents - Inscribed Aand Circumscribed Triangles And Quadrilaterals - Two Circles - Problems - Methods - RATIO AND PROPORTION - Fundamental Properties - The Theory Of Limits - A Pencil Of Lines Cut By Parallels - A Pencil Cut By Antiparallels Or By A Circumference - Similar Figures - Problems - MENSURATION OF PLANE FIGURES, REGULAR POLYGONS AND THE CIRCLE - The Mensuration Of Plane Figures - The Partition Of The Perigon - Regular Polygons The Mensuration Of The Circle - APPENDIX TO PLANE GEOMETRY - Supplementary Theorems In Mensuration - Maxima And Minima - Concurrence And Collinearity - SOLID GEOMETRY - LINES AND PLANES IN SPACE- The Position Of A Plane In Space - The Straight Lines As The Intersection Of Two Planes - The Relative Position Of A Line And A Plane - Pencil Of Planes - Polyhedral Angles - Problems - Polyhedra - General And Regular Polyhedra - Parallelepipeds - Prismatic And Pyramidal Space - Prisms And Pyramids - The Mensuration Of The Prism - The Mensuration Of The Pyramid - THE CYLINDER, CONE, AND SPHERE - Similar Solids - The Cylinder - The Cone - The Sphere - The Mensuration Of The Sphere - Similar Solids - TABLES - Numerical Tables - Biographical Table - Table Of Etymologies - Comprehensive Index ... Read more

Customer Reviews (2)

Geometry Book Review
To Whom It May Concern:

I totally agree with Mr. Richard Kleinschmidt "RichK" regarding the book not being more descriptive with their explanations regarding the examples, I would rank this book with Geometry for Enjoyment and Challenge by Milauskas et. al. Geometry for Enjoyment and Challenge gives better examples, but some of the exercises in this book are more challenging. Three-dimensional and solid geometry is covered extensively approximately 4 chapters are covered throughout this text. I thought this book was great, the exercises range from the level of difficulty (A-1, A-2, and B) This title does not truly describe the difficulty of the book A Course In Geometry, it should be titled An indepth course on Geometry because thats what it is, this book would definitely cater for an honors class.

The major gripe about this book is that in Ch.15 they mix two-dimensional geometry with three-dimensional geometry basically a square pyramid being broken down into 4 isosceles right triangles and a square and calculating the surface area and volume. Their is no general formula for calculating the lateral area like several books, such as calculating the slant height and the formula lateral area equals 1/2 times the perimeter times the slant height. The three-dimensional part should have been separate and not being merged in two-dimensional geometry and three-dimensional geometry.

My favorite part of the book are the congruent triangle proofs using the asa, sas, sss, and aas theorem, they are quite extensive some proofs take 12 steps. and the areas of segments of circles (hexagons incribed in circles, squares inscibed in circles, equilateral and isoceles triangles inscribed in circles) areas of composite figures (trapezoids and rectangles connected to each other, etc.) the area of six-shaped flower, I feel the authors intentionally on each chapter did not vgive that much examples in a descriptive manner, to make the teacher teach and force the student to learn to think critically by visualizing and using mathematical reasoning. If you want a challenge and get the most out of geometry, get this book. I enjoy reading and solving math problems for fun. I collect books for a living and do this on my spare time. Other positives are the explanation and derivation of three-dimensional theorems such as the surface area and volumes of spheres, cones, etc. There are problems of calculating the area of lune, a fraction of the area of a sphere, that is like calculating the area of a circle in 3-dimensions. That is what a sphere is a 3-dimesnional circle. No other book in high school will talk about lunars, until you hit calculus. This will really prepare an engineering, mathematics or anybody who is in the scientific discipline such as physics, geology, chemistry, economics (social science) or someone who wants a challenge in math and has a thirst for knowledge this is one of the best math books around to prepare to be ready for higher levels of math.


Overall, I give this book 4 stars I would have given 5 if the book was more organized.

A delightful classic
This book covers classical Euclidian geometry.It has been around a long time. (The 1982 copyright date is just the last time the text was revised for printing.The pictures etc. date back to the 1940's.)The exercises are delightfully challenging.

Amazon listed the book's reading level as "young adult".I have been teaching advanced HS geometry classes with this book for 6 years, and I can report that most bright students find the language challenging without someone to help them along.If you are homeschooling etc, you may want to investigate whether you can get the solution text from the publisher.

I give the exercises in the book 5 stars.Again and again I find myself saying: wow I never would have thought of that.The text that accompanies the exercises gets only three stars. ... Read more

Book Description
SOLID ANALYTIC GEOMETRY SOLID ANALYTIC GEOMETRY By ADRIAN ALBERT Professor of Mathematics The University of Chicago FIRST EDITION McGRAW-HILL BOOK COMPANY, INC. NEW YORK TORONTO LONDON 1949 SOLID ANALYTIC GEOMETRY Copyright, 1949, by the McGraw-Hill Book Company, Inc. Printed in the United States of America. All rights reserved. This book, or parts thereof, may not be reproduced in any form without permission of the publishers. THE MAPLE PRESS COMPANY, YORK, PA. PREFACE In a recent text on college algebra the author gave a brief pre senlation of what seems to him to be the best basis for a modern course on plane analytic geometry, that is, the algebraic vector approach. The present text contains an extension of this approach, yielding an exposition in full for the three-dimensional case, and thereby ties up the study of space analytic geometry with the theory of vectors and matrices. Chapters 1 and 2 contain a treatment of the equations of lines and planes. After a preliminary study of the linear operations on n-dimensional vectors, rectangular coordinates are introduced, three-dimensional vectors and inner products are interpreted geometrically, and, from a consideration of scalar products and axis translations, the parametric equations of a line are obtained. The vector approach then yields a very simple derivation of the normal form of an equation of a plane, and the standard forms of plane and line equations are rather immediate consequences. Chapter 3 contains an exposition of classical elementary sur face and curve theory. Chapter 4 contains the usual treatment of spheres, and Chapter 5 gives the classical descriptions of quadric surfaces in standard position. The latter chapter ends with a rather novel classification of quadrics according to certain invariants. Chapter 6 is an exposition of that part of the theory of matrices which is needed for a complete development of the so-called principal axis transformation. A full account of the orthogonal reduction of a real quadratic form in n variables is given, and the theory is applied in Chapter 7 to the three-dimensional case of quadric surfaces. This latter chapter ends with a discussion of the symmetries of quadric surfaces. The first seven chapters of this text provide an exposition of the basic topics of solid analytic geometry, the material being adequate for a one-quarter course on the subject. The remain ing chapters contain additional material for longer courses or out side reading. Chapter 8, on spherical coordinates, contains a dis vi PREFACE cussion of some practical aspects of the theory of rotations and translations of axes in space. It is quite clear that rectangular coordinates are not as practical for actual measurements as are the coordinates of range, azimuth, and elevation, and in this chapter methods are developed for actual computation of the changes in these measurable coordinates after translations or rotations of axes. The chapter ends with a discussion of gno monic charts. Our final chapter contains a brief presentation of the elements of protective geometry. The effect on the theory of linear trans formations of the use of homogeneous coordinates is given, and the chapter contains a rigorous matrix proof of the invariance of the cross ratio under projective transformations. It is hoped that the use of modern algebraic techniques in this and in the earlier chapters of the present text will serve to make the subject of solid analytic geometry fit better in the teaching of modern mathematics than it has in the past. ADRIAN ALBERT CHICAGO, ILL. March, 1949 CONTENTS PREFACE v 1 COORDINATES AND LINES I 1. Vectors 1 2. Scalar multiplication 2 3. Inner products 3 4. The angle between two vectors 4 5. Directed lines 5 6. Orthogonal projections 6 7. Rectangular coordinates in ordinary space 7 8. The length of a vector in space 10 9. Lines through the origin 10 10. The angle between two vectors in space 12 11. Translation of axes 13 12... ... Read more

Product Description
This volume is produced from digital images created through the University of Michigan University Library's preservation reformatting program. ... Read more