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MATH/STAT.ROW ST. SUNDARA
inExercisesGeometric
FoldingPaper
Edited and Revised by
WOODRUFF BEMANWOOSTER
OF MICHIGAKMATHEMATICS IN THE UNIVERSITYPROFESSOR OF
and
SMITHDAVID EUGENE
1 COLLEGEPROFESSOR OF MATHEMATICS IN TEACHERS
OF COLUMBIA UNIVERSITY
ILLUSTRATIONSWITH 87
THIRD EDITION
CHICAGO ::: LONDON
THE OPEN COURT PUBLISHING COMPANY
1917&
XC?
4255
COPYRIGHT BY
OPEN COURT PUBLISHINGTHE Co,
1901
PRINTED IN THE UNITED STATES OF AMERICAhn
HATH
EDITORS PREFACE.
s GeometOUR attention was first attracted to Sundara Row
rical Exercises in a reference in Klein s Vor-Paper Folding by
iiber derFragen Elementargeometrie.lesungen ausgezucihlte
An examination of the obtained after vexatiousbook, many delays,
convinced us of its undoubted merits and of its value toprobable
American teachers and students of weAccordinglygeometry.
of the author to out an edition in thissought permission bring
wnich was mostcountry, permission generously granted.
The of the book is so set forth in the author spurpose fully
introduction that we need to that it is sure to ofonly say prove
interest to wide-awake teacher of from theevery geometry graded
school to the The methods are so novel and the resultscollege.
so reached that cannot fail to awaken enthusiasm.easily they
Our work as editors in this revision has been confined to some
modifications of the some additions in the ofslight proofs, way
and the insertion of a considerable number of half-tonereferences,
of actual instead of thereproductions photographs line-drawings
of the original.
W. W. BEMAN.
D. E. SMITH.
OK02CONTENTS.
PAGE
vnIntroduction
m
i
I. The Square
II. The Triangle 9Equilateral
andIII. 14Squares Rectangles
IV. The 3Pentagon
,V. The 35Hexagon
VI. The 39Octagon
VII. The 45Nonagon
and theVIII. The Dodecagon 47Decagon
IX. The 5Pentedecagon
X. Series 52
XI. 67Polygons
82XII. General Principles
XIII. The Conic Sections.
102i. The CircleSection
n. The Parabola 115
121in. TheSection Ellipse
126 iv. The Hyperbola
Miscellaneous CurvesXIV. 131