# Famous Problems of Geometry and How to Solve Them (Dover Books on Mathematics)

## Benjamin Bold

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It took two millennia to prove the impossible; that is, to prove it is not possible to solve some famous Greek problems in the Greek way (using only straight edge and compasses). In the process of trying to square the circle, trisect the angle and duplicate the cube, other mathematical discoveries were made; for these seemingly trivial diversions occupied some of history's great mathematical minds. Why did Archimedes, Euclid, Newton, Fermat, Gauss, Descartes among so many devote themselves to these conundrums? This book brings readers actively into historical and modern procedures for working the problems, and into the new mathematics that had to be invented before they could be "solved."
The quest for the circle in the square, the trisected angle, duplicated cube and other straight-edge-compass constructions may be conveniently divided into three periods: from the Greeks, to seventeenth-century calculus and analytic geometry, to nineteenth-century sophistication in irrational and transcendental numbers. Mathematics teacher Benjamin Bold devotes a chapter to each problem, with additional chapters on complex numbers and analytic criteria for constructability. The author guides amateur straight-edge puzzlists into these fascinating complexities with commentary and sets of problems after each chapter. Some knowledge of calculus will enable readers to follow the problems; full solutions are given at the end of the book.
Students of mathematics and geometry, anyone who would like to challenge the Greeks at their own game and simultaneously delve into the development of modern mathematics, will appreciate this book. Find out how Gauss decided to make mathematics his life work upon waking one morning with a vision of a 17-sided polygon in his head; discover the crucial significance of eπi = -1, "one of the most amazing formulas in all of mathematics." These famous problems, clearly explicated and diagrammed, will amaze and edify curious students and math connoisseurs.

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## 1.Famous Problems in Geometry and How to Solve Them (Paperback)

Editore: Dover Publications Inc., United States (1982)
ISBN 10: 0486242978 ISBN 13: 9780486242972
Nuovi Paperback Quantità: 10
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Descrizione libro Dover Publications Inc., United States, 1982. Paperback. Condizione libro: New. New edition. Language: English . Brand New Book. It took two millennia to prove the impossible; that is, to prove it is not possible to solve some famous Greek problems in the Greek way (using only straight edge and compasses). In the process of trying to square the circle, trisect the angle and duplicate the cube, other mathematical discoveries were made; for these seemingly trivial diversions occupied some of history s great mathematical minds. Why did Archimedes, Euclid, Newton, Fermat, Gauss, Descartes among so many devote themselves to these conundrums? This book brings readers actively into historical and modern procedures for working the problems, and into the new mathematics that had to be invented before they could be -solved.- The quest for the circle in the square, the trisected angle, duplicated cube and other straight-edge-compass constructions may be conveniently divided into three periods: from the Greeks, to seventeenth-century calculus and analytic geometry, to nineteenth-century sophistication in irrational and transcendental numbers. Mathematics teacher Benjamin Bold devotes a chapter to each problem, with additional chapters on complex numbers and analytic criteria for constructability. The author guides amateur straight-edge puzzlists into these fascinating complexities with commentary and sets of problems after each chapter. Some knowledge of calculus will enable readers to follow the problems; full solutions are given at the end of the book. Students of mathematics and geometry, anyone who would like to challenge the Greeks at their own game and simultaneously delve into the development of modern mathematics, will appreciate this book. Find out how Gauss decided to make mathematics his life work upon waking one morning with a vision of a 17-sided polygon in his head; discover the crucial significance of e?i = -1, -one of the most amazing formulas in all of mathematics.- These famous problems, clearly explicated and diagrammed, will amaze and edify curious students and math connoisseurs. Codice libro della libreria AA99780486242972

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## 2.Famous Problems in Geometry and How to Solve Them (Paperback)

Editore: Dover Publications Inc., United States (1982)
ISBN 10: 0486242978 ISBN 13: 9780486242972
Nuovi Paperback Quantità: 10
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Descrizione libro Dover Publications Inc., United States, 1982. Paperback. Condizione libro: New. New edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. It took two millennia to prove the impossible; that is, to prove it is not possible to solve some famous Greek problems in the Greek way (using only straight edge and compasses). In the process of trying to square the circle, trisect the angle and duplicate the cube, other mathematical discoveries were made; for these seemingly trivial diversions occupied some of history s great mathematical minds. Why did Archimedes, Euclid, Newton, Fermat, Gauss, Descartes among so many devote themselves to these conundrums? This book brings readers actively into historical and modern procedures for working the problems, and into the new mathematics that had to be invented before they could be -solved.- The quest for the circle in the square, the trisected angle, duplicated cube and other straight-edge-compass constructions may be conveniently divided into three periods: from the Greeks, to seventeenth-century calculus and analytic geometry, to nineteenth-century sophistication in irrational and transcendental numbers. Mathematics teacher Benjamin Bold devotes a chapter to each problem, with additional chapters on complex numbers and analytic criteria for constructability. The author guides amateur straight-edge puzzlists into these fascinating complexities with commentary and sets of problems after each chapter. Some knowledge of calculus will enable readers to follow the problems; full solutions are given at the end of the book. Students of mathematics and geometry, anyone who would like to challenge the Greeks at their own game and simultaneously delve into the development of modern mathematics, will appreciate this book. Find out how Gauss decided to make mathematics his life work upon waking one morning with a vision of a 17-sided polygon in his head; discover the crucial significance of e?i = -1, -one of the most amazing formulas in all of mathematics.- These famous problems, clearly explicated and diagrammed, will amaze and edify curious students and math connoisseurs. Codice libro della libreria BTE9780486242972

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## 3.Famous Problems in Geometry and How to Solve Them (Paperback)

Editore: Dover Publications Inc., United States (1982)
ISBN 10: 0486242978 ISBN 13: 9780486242972
Nuovi Paperback Quantità: 10
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria

Descrizione libro Dover Publications Inc., United States, 1982. Paperback. Condizione libro: New. New edition. Language: English . Brand New Book. It took two millennia to prove the impossible; that is, to prove it is not possible to solve some famous Greek problems in the Greek way (using only straight edge and compasses). In the process of trying to square the circle, trisect the angle and duplicate the cube, other mathematical discoveries were made; for these seemingly trivial diversions occupied some of history s great mathematical minds. Why did Archimedes, Euclid, Newton, Fermat, Gauss, Descartes among so many devote themselves to these conundrums? This book brings readers actively into historical and modern procedures for working the problems, and into the new mathematics that had to be invented before they could be -solved.- The quest for the circle in the square, the trisected angle, duplicated cube and other straight-edge-compass constructions may be conveniently divided into three periods: from the Greeks, to seventeenth-century calculus and analytic geometry, to nineteenth-century sophistication in irrational and transcendental numbers. Mathematics teacher Benjamin Bold devotes a chapter to each problem, with additional chapters on complex numbers and analytic criteria for constructability. The author guides amateur straight-edge puzzlists into these fascinating complexities with commentary and sets of problems after each chapter. Some knowledge of calculus will enable readers to follow the problems; full solutions are given at the end of the book. Students of mathematics and geometry, anyone who would like to challenge the Greeks at their own game and simultaneously delve into the development of modern mathematics, will appreciate this book. Find out how Gauss decided to make mathematics his life work upon waking one morning with a vision of a 17-sided polygon in his head; discover the crucial significance of e?i = -1, -one of the most amazing formulas in all of mathematics.- These famous problems, clearly explicated and diagrammed, will amaze and edify curious students and math connoisseurs. Codice libro della libreria AA99780486242972

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## 4.Famous Problems in Geometry and How to Solve Them

Editore: Dover Publications Inc.
ISBN 10: 0486242978 ISBN 13: 9780486242972
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Descrizione libro Dover Publications Inc. Condizione libro: New. Series: Dover Books on Mathematics. Num Pages: 144 pages, Illustrations. BIC Classification: PBM; PBP. Category: (G) General (US: Trade). Dimension: 215 x 137 x 8. Weight in Grams: 162. . 1982. Revised. Paperback. . . . . Books ship from the US and Ireland. Codice libro della libreria V9780486242972

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## 5.Famous Problems in Geometry and How to Solve Them

Editore: Dover Publications Inc. (1982)
ISBN 10: 0486242978 ISBN 13: 9780486242972
Nuovi Brossura Quantità: 5
Valutazione libreria

Descrizione libro Dover Publications Inc., 1982. Condizione libro: New. Series: Dover Books on Mathematics. Num Pages: 144 pages, Illustrations. BIC Classification: PBM; PBP. Category: (G) General (US: Trade). Dimension: 215 x 137 x 8. Weight in Grams: 162. . 1982. Revised. Paperback. . . . . . Codice libro della libreria V9780486242972

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## 6.Famous Problems in Geometry and How to Solve Them (New edition)

Editore: Dover Publications Inc.
ISBN 10: 0486242978 ISBN 13: 9780486242972
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Descrizione libro Dover Publications Inc. Paperback. Condizione libro: new. BRAND NEW, Famous Problems in Geometry and How to Solve Them (New edition), Benjamin Bold. Codice libro della libreria B9780486242972

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## 7.Famous Problems of Geometry and How to Solve Them

Editore: Dover Publications Inc. 1982-08-01, New York (1982)
ISBN 10: 0486242978 ISBN 13: 9780486242972
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Descrizione libro Dover Publications Inc. 1982-08-01, New York, 1982. paperback. Condizione libro: New. Codice libro della libreria 9780486242972

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## 8.Famous Problems in Geometry and How to Solve Them

Editore: Dover Publications Inc. (1982)
ISBN 10: 0486242978 ISBN 13: 9780486242972
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Descrizione libro Dover Publications Inc., 1982. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria H8-9780486242972

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## 9.Famous Problems of Geometry and How to Solve Them

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Descrizione libro 1982. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria V0-9780486242972

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## 10.Famous Problems Of Geometry And How To Solve Them.

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ISBN 10: 0486242978 ISBN 13: 9780486242972
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