# An Elementary Treatise on Geometry: Simplified for Beginners Not Versed in Algebra. Part I, Containing Plane Geometry, with Its Application to the Solution of Problems, Part 1

Carter, Hendee, 1834 - Geometry, Plane - 190 pages

### Contents

 INTRODUCTION 9 SECTION I 22 SECTION II 37 PART II 53
 Recapitulation of the Truths contained in Section II 76 SECTION IV 102 SECTION V 141 Appendix containing Exercises for the Slate 189

### Popular passages

Page 78 - If two triangles have two sides of the one equal to two sides of the other, each to each, but the...
Page 2 - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...
Page 136 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 154 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Page 138 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Page 116 - The side of a regular hexagon inscribed in a circle is equal to the radius of the circle.
Page 101 - Now, since the areas of similar polygons are to each other as the squares of their homologous sides...
Page 127 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii, or as the squares of their apothems.
Page 154 - A, with a radius equal to the sum of the radii of the given circles, describe a circle.
Page 137 - P is at the center of the circle. II. 18. The sum of the arcs subtending the vertical angles made by any two chords that intersect, is the same, as long as the angle of intersection is the same. 19. From a point without a circle two straight lines are drawn cutting the convex and concave circumferences, and also respectively parallel to two radii of the circle. Prove that the difference of the concave and convex arcs intercepted by the cutting lines, is equal to twice the arc intercepted by the radii.