## Observational Geometry |

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### Common terms and phrases

ABCD acute altitude base beginning bounded calculate called centimetres centre CHAPTER chord circle circumference common compasses cone Construct convenient corners corresponding cube cubic curved cylinder diagonals diagram diameter dimensions direction distance divided draw drawn edges ends equal equilateral triangle faces feet figure five four Geometry give given height hexagon horizontal inches kind lateral length mark means measure meet method metres middle points multiplied notice number of points object obtuse one-half opposite parallel parallelogram parallelopiped Pentagon perpendicular plane points of intersection polygon position possible prism problem prolong proportion protractor pyramid question radii radius equal rectangle regular representing right angle rule ruler sector shape sides similar solid sphere square straight lines Suppose surface symmetrical tangent trapezoid triangle vertex vertices volume

### Popular passages

Page 185 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.

Page 110 - The radius of a sphere is a straight line, drawn from the centre to any point of the surface ; the diameter, or axis, is a line passing through this centre, and terminated on both sides by the surface.

Page 50 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.

Page 221 - The areas of two similar triangles (or polygons) are to each other as the squares of any two corresponding sides.

Page 89 - CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.

Page 186 - The area of a triangle is equal to one-half the product of its base and altitude.

Page 166 - AB of the circle into as many equal parts as the polygon is to have sides. With the points A and B as centers and radius AB, describe arcs cutting each other at C.

Page 51 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through the point A, parallel to the straight hue BC.

Page 188 - Hence the area of a trapezoid is equal to its altitude, multiplied by the line which joins the middle points of the sides which are not parallel.

Page 107 - The volume of a cylinder is equal to the area of its base multiplied by the altitude.