Observational Geometry

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American Book Company, 1899 - Geometry - 240 pages

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Page 183 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 108 - 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 52 - 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 219 - The areas of two similar triangles (or polygons) are to each other as the squares of any two corresponding sides.
Page 87 - 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 184 - The area of a triangle is equal to one-half the product of its base and altitude.
Page 113 - The area of the surface of a sphere is four times the area of a great circle.
Page 164 - 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 49 - 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 186 - 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.

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