A Primary Geometry: With Simple and Practical Examples in Plane and Projection Drawing, and Suited to All Beginners

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J. Wiley & sons, 1887 - Geometrical drawing - 178 pages
 

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Page 53 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Page 153 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".
Page 54 - If two angles of one triangle are equal to two angles of another triangle, the third angles are equal, and the triangles are mutually equiangular.
Page 138 - To find the surface of a CYLINDER. Multiply the circumference of its base by its altitude, and the product will be the CONVEX surface (Prop.
Page 126 - A straight line perpendicular to one of two parallel planes is perpendicular to the other also.
Page 148 - A zone is a portion of the surface of a sphere, included between two parallel planes which form its bases.
Page 64 - It is true, that if the three sides of one triangle are equal to the three sides of...
Page 78 - The straight line drawn from the centre of a circle to the point of contact of a tangent is perpendicular to the tangent.
Page 81 - An inscribed angle is measured by half the arc included between its sides. . Let BAD be an inscribed angle, whose sides include the arc BD ; then the angle BAD is measured by half of the arc B D.
Page 39 - You can not prove it and you do not need to. You only have to look at it, so to speak, with this eye of your mind and you immediately perceive both that it is true and that it is necessarily true. So Aristotle's ideal scientific method consists of two steps. First, you must discover by Intuition the...

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