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 - 178 σελίδες

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Σελίδα 53 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 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".
Σελίδα 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.
Σελίδα 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.
Σελίδα 126 - A straight line perpendicular to one of two parallel planes is perpendicular to the other also.
Σελίδα 148 - A zone is a portion of the surface of a sphere, included between two parallel planes which form its bases.
Σελίδα 64 - It is true, that if the three sides of one triangle are equal to the three sides of...
Σελίδα 78 - The straight line drawn from the centre of a circle to the point of contact of a tangent is perpendicular to the tangent.
Σελίδα 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.
Σελίδα 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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