# A Geometry for Beginners

Ginn & Heath, 1880 - Geometry - 314 pages
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### Contents

 CONTENTS I Space 1 II The Cube 25 III The Cylinder 6 INTRODUCTION 1 14 ANGLES 51 TRIANGLES 73 QUADRILATERALS 111 POLYGONS 123 AREAS 136
 SIMILAR FIGURES 171 THE CIRCLE 199 THE ELLIPSE 240 PLANES 248 GEOMETRICAL BODIES 263 SURFACES AND VOLUMES OF BODIES 279

### Popular passages

Page 306 - SHAKESPEARE. Including an Historical Sketch of the Origin and Growth of the Drama in England, with Studies in the Poet's Dramatic Architecture, Delineation of Character, Humor, Style, and Moral Spirit, also with Critical Discourses on the following plays, — A Midsummer Night's Dream.
Page 109 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.
Page 308 - The facts of English Grammar are presented in such a way as to lay the best foundation for the further and higher study of Language in all its departments.
Page 130 - The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R.
Page 75 - If two angles of one triangle are equal respectively to two angles of another triangle, the third angles are equal.
Page 131 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 307 - Lives. For use in Schools and Classes. By the REV. II. N. HUDSON. 12mo. Cloth. 704 pages Two thirds of the volume is filled with Wordsworth 5 who has now made good his position as one of the five great chiefs of English poetry, and whose works embody in the highest form, whatever is noblest and best in the English poetical literature of the last hundred >ears.
Page 307 - ... five great chiefs of English poetry, and whose works embody, in the highest form, whatever is noblest and best in the English poetical literature of the last hundred years. The whole of The Excursion, the first two books of the Prelude, Michael, The Brothers, Tintern Abbey, Laodamia, On the Power of Sound, Ode on Immortality, and a large number of smaller pieces are included. The selections from Coleridge are The Ancient Mariner, Christabel, Fears in Solitude, and eighteen other pieces.
Page 306 - HUDSON'S FAMILY SHAKESPEARE : Plays selected and prepared, with Notes and Introductions, for Use in Families. Volume I., containing As You Like It, The Merchant of Venice, Twelfth Night, First and Second of King Henry the Fourth, Julius Caesar, and Hamlet.
Page 86 - Hence the arc drawn from the vertex of an isosceles spherical triangle, to the middle of the base, is perpendicular to the base, and bisects the vertical angle.