# Practical Plane and Solid Geometry, Including Graphic Arithmetic

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

### Contents

 SECTION 1 II 11 IV 18 VI 28 VII 34 XI 64 XII 82 XIII 94
 APPLICATION OF GEOMETRY TO THE CONSTRUCTION 126 XVI 134 SECTION II 182 XVIII 200 XIX 212 XX 223 XXI 240 GRAPHIC ARITHMETIC 248

 XIV 110

### Popular passages

Page 16 - The circumference of every circle is supposed to be divided into...
Page 46 - 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 46 - 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 55 - 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 71 - 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 46 - 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 55 - 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 110 - 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 62 - To construct a triangle equal in area to a given triangle and having one of its sides equal to a given straight line.
Page 44 - To describe a circle which shall pass through two given points and touch a given circle.