# An Introduction to Geometry and the Science of Form: Prepared from the Most Approved Prussian Text-books

James Munroe and Company, 1857 - Geometry - 161 pages

### Contents

 EXAMINATION AND IMITATION 1 In what manner the operation is performed 6 Definitions and exercises in drawing figures Parallelogram 7 185 11 75 13 Exercises on figures 16 LINES 23 Definition of equivalent figures 26
 OF SOLIDS 69 LINES 72 34 76 119 81 123 82 Area of a parallelogram 89 176 101 189 107

### Popular passages

Page 82 - If two angles of one triangle are equal to two angles of another triangle...
Page 82 - Any exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Page ii - Geometry," and think it admirably adapted to supply an important want in education. It is not a mere geometrical logic, but a natural and simple introduction to the Science of Form. By a beautiful and original series of inductive processes...
Page 121 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page iii - While Nature was feeding her pine with plenty of wholesome juices, Education passed a strong rope round its top, and pulling it downwards with all her force, fastened it to the trunk of a neighbouring oak. The pine laboured to ascend, but not being able to surmount the obstacle, it pushed out to one side, and presently became bent like a bow. Still, such was its...
Page 151 - Similar triangles are to each other as the squares of their homologous sides.
Page 101 - BAC, inscribed in a segment greater than a semicircle, is an acute angle ; for it is measured by half of the arc BOC, less than a semicircumference.
Page 66 - Two adjacent sides of a parallelogram and the included angle being given, to construct the parallelogram. Draw the straight line AB equal to one of the given sides. At the point A make an angle, BAD, equal to the given angle, and take AD equalj to the other given side..
Page 101 - An angle formed by a tangent and a chord drawn from the point of contact is measured by half the intercepted arc.
Page 114 - ... of the triangular prism is equal to the product of its base, half of that of the parallelopiped, by its altitude.