Descriptive Geometry for the Use of Students in Engineering 3b in Harvard University

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The University, 1904 - Geometry, Descriptive - 85 pages
 

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Page 52 - To pass a plane through a given point perpendicular to a given line. Method. Draw through the given point a line which will lie in the required plane (a "horizontal" line is usually most easily used).
Page 84 - Through a sphere whose diameter is 10 in. a cylindrical hole of 5 m. diameter is bored. Find the volume of the solid if the axis of the cylinder passes through the center of the sphere. Ex. 1251. The surface of a sphere is equivalent to the lateral surface of the circumscribed cylinder. Ex. 1252. Two bi.rectangular spherical triangles are equal if the oblique angles are equal. Ex. 1253. Find the ratio of a sphere to its circumscribed cube. Ex. 1254. The area of a zone on a sphere...
Page 48 - AC about 3| inches long and assume the point P about 1 ^ inches above A C. Through the point P draw an oblique line FE forming any convenient angle —about 60 degrees — with A C.
Page 46 - To find the angle between two oblique planes. Method. From any point in space draw a line perpendicular to each of the given planes. The angle between these two lines is the angle between the planes.
Page 84 - A metal shade for an electric lamp is made up of a hemisphere and half of a circular cylinder. The axis of the cylinder passes through the center of the sphere. Draw the intersection of the two surfaces, and a pattern to be used in cutting out the metal to make the shade.
Page 66 - Q-iven one projection of a point on the surface of a cone to find its other projection; and, second, to pass a plane tangent to the cone through this point. Let the cone be given as in Fig. 48, and let a" be the vertical projection of a point on its surface.
Page 68 - PROBLEM 27. To pass a plane tangent to a cone and parallel to a given line. Method. Through the vertex of the cone draw a line parallel to the given line.
Page 58 - Hence, if the angle at the vertex is 9СГ, the compressive strain is equal to the central pressure on the opposite leaf; if the angle is about 127°, or the ratio of the rise to the span is 1 to 4, as in the gates of the Victoria Docks, the compression is twice the central pressure ; while in an extreme case...

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