Descriptive Geometry

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McGraw-Hill book Company, Incorporated, 1923 - Geometry, Descriptive - 244 pages
 

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Page 122 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the...
Page 122 - Each side of a spherical triangle is less than the sum of 'the other two sides. 48. The sum of the sides of a spherical polygon is less than 360°. 49. The sum of the angles of a spherical triangle is greater than 180° and less tha'n 540°.
Page 78 - The angle between a line and a plane is the angle between the line and its projection on the plane; therefore, project the given line on the given plane, pass a plane F1G.
Page 122 - The planes of the sides of a spherical polygon form a polyhedral angle whose vertex is the...
Page 131 - In two polar triangles each angle of the one is the supplement of the opposite side in the other. [K7.] 6. Vertical spherical triangles are symmetrical and equivalent. [C8, H6.] 7. Two triangles47 on the same sphere are either congruent or symmetrical if a = a' b = b' c = c
Page 63 - To draw a circle which shall pass through three given points not in the same straight line. Let A, B and C (Fig.
Page 115 - To draw the projections of a line which shall pass through a given point and be parallel to two given planes.
Page 78 - Shew that one plane, and only one plane, can be drawn to pass through a given point and be perpendicular to a given straight line.
Page 225 - Analysis: pass a series of cutting planes through the apex of the cone and parallel to the axis of the cylinder, cutting elements from both surfaces.
Page 21 - ... or by passing a special examination. 1 unit, autumn, *winter, and *spring quarters (THOMAS) W or F 1:05-4:05 autumn, 86; winter, 54; spring, 51 3. Descriptive Geometry. — Dealing with principles and methods used in making drawings of objects and geometrical magnitudes, with mathematical exactness, and in solving problems involving their space relations, without going into details of shop notes, field notes, machine drawing and design, topographic and geologic mapping, to which subjects it serves...

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