A Treatise on Descriptive Geometry: For the Use of the Cadets of the United States Military Academy, Part 1 |
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Common terms and phrases
2d Cor abscisses asymptotes auxiliary planes base bisects centre chords circumscribed common intersection conceive cone conic section conical surface conjugate diameters consequently construction contains corresponding curve of intersection cutting plane cylinder described Descriptive Geometry determined diagonal dicular directrix distance double ordinate ellipse equal evident face focus generatrix gent given line given point graphic hori horizontal plane horizontal projection horizontal trace hyperbola hyperboloid intersections of surfaces line drawn meridian curve meridian plane oblique plane oblique projections obtained operation parabola perpen pierces the horizontal plane parallel plane perpendicular plane tangent planes of projections point D point F point of contact point of intersection position PROBLEM projecting line propositions pyramid radius revolve round right angles right line secant sides solution sphere surface of revolution tangent plane THEOREM tion transverse axis trapezium triangle vertex vertical plane vertical projection vertical trace whence zontal
Popular passages
Page 125 - G'H' ; hence GH is equal to G'H, or every diameter bisects its double ordinates. Cor. 2. The squares of the ordinates to any diameter are to each other as the rectangles of their abscissas. PROPOSITION XX. THEOREM. If a cone be cut by a plane...
Page 24 - ... point without the plane of it, be moved around the circumference without ceasing to pass through the point, the surface generated is called a conic surface, and the solid terminated by the surface is called a cone. II. The point is called the vertex, and the circle the base of the cone. The straight line drawn from the vertex to the centre of the circle, is called the axis. If the axis be perpendicular to the plane of the base, the cone is said to be right. III. If the generating line be produced...
Page 8 - Hence, if a right line is perpendicular to a plane, its projections are perpendicular to the traces of the plane, respectively.
Page 134 - AB be made movable about the point B, a string ADC, being tied to the other end of the rule, and to the point C, and if the point A...
Page 128 - The three intersections of the opposite sides of any hexagon inscribed in a conic section are in one right line.