# Practical Plane and Solid Geometry, Including Graphic Arithmetic

Longmans, Green, and Company, 1890 - Geometry, Plane - 260 pages

### Contents

 INTRODUCTION 1 III 10 IV 18 VI 28 VII 34 DEFINITIONS TERMS USED 39 REGULAR POLYGONS 39 SCALES 44
 AREAS 94 CURVES 116 APPLICATION OF GEOMETRY TO THE CONSTRUCTION 126 SECTION II 182 EXERCISES ON CHAPTER XVII 200 ON PLANES AND LINES 212 SAMPLE EXAMINATION PAPER 216 PROJECTIONS OF SOLIDS AND OBJECTS OF SIMPLE FORM 240

### Popular passages

Page 16 - The circumference of every circle is supposed to be divided into...
Page 48 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Page 48 - If a straight line touch a circle, the straight line drawn from the centre to the point of contact shall be perpendicular to the line touching the circle.
Page 62 - If a parallelogram and a triangle be upon the same base, and between the same parallels; the parallelogram shall be double of the triangle.
Page 73 - A sphere is generated by the revolution of a semicircle about its diameter ; every part of its surface is equally distant from the centre.
Page 48 - EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another.
Page 62 - Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.
Page 113 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Page 63 - To construct a triangle equal in area to a given triangle and having one of its sides equal to a given straight line.
Page 46 - To describe a circle which shall pass through two given points and touch a given circle.