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angle of 30 angle of 45 auxiliary plane axes axis perpendicular Axonometric Projection base center line circular arcs circumscribing circumscribing circle cone coordinate plane cutting plane describe arc determine developed surface diameter dimensions directrix distance Divide Draftsman's Method Draw a hexagon Draw a tangent draw arcs draw lines edges elements ellipse equilateral triangle face foci foreshortened front view generatrix given circle ground line helices helix horizontal lines hyperbola inscribe isometric drawing isometric projection line drawn major axis minor axis number of equal number of points object oblique projection obtained parabola parallel to H pencil pitch plane of projection point of intersection prism Prob problems profile plane projecting lines pyramid radius equal represent representation required positions draw revolution right line screw shown in Fig side view small cylinder space spiral square surface three views top view true length vertex vertical plane vertical projection
Page 6 - If the 90° and 60° angles are found to be correct, the third angle must be 30°, since the sum of the angles of any triangle is equal to 180°.
Page 55 - Having given the major and minor axes. From the extremity of the major axis, draw B6 parallel and equal to half the minor axis; divide it into any number of equal parts; in this case six. Divide BG into the same number of equal parts. Through points 1, 2, 3, etc., on B6, draw lines . to extremity C of the minor axis. From D, the other extremity of the minor axis, draw lines through 1, 2, 3, etc., on BG, intersecting the above lines in points which will lie on the required ellipse.
Page 114 - First, the distance across the flats or short diameter, commonly indicated by H, and equal to one and one-half times the diameter of the bolt plus one-eighth of an inch, second, the thickness of the head, which is equal to onehalf its short diameter, third, the thickness of the nut, which is equal to the diameter of the bolt.
Page 5 - AB, in contact with this edge, then reverse the triangle so that both edge and line may be free from shadow, and move the edge of the triangle toward the line. If they coincide, the angle is 90°. If they do not coincide, and the vertex of the angle formed by line and edge is at the top, as shown by A, the angle is greater than 90° by half the angle BAG. If the vertex of the angle is below, the angle is less than 90° by half the amount indicated. TEST OF 45° ANGLE. — If the 90° angle is known...
Page 58 - An hyperbola is a curve generated by a point moving in a plane so that the difference of its distances from two fixed points in that plane is constant.
Page 24 - Heavy lines on the shade sides of objects should be used, except where they tend to thicken the work and obscure letters of reference. The light is always supposed to come from the upper left-hand corner at an angle of 45°.
Page 5 - Beveled-edge Scale. angle is 90°. If they do not coincide, and the vertex of the angle formed by the line and the vertical edge of the triangle is at the top, the angle is greater than 90° by half the angle indicated. If the vertex of the angle is below, the angle is less than 90° by half the amount indicated. Fig.
Page 13 - ... against the shoulder of the socket, then adjust the needle-point so that its point is even with that of the pen. When once properly adjusted the needle-point should not be changed. The needle-point is usually made with a cone-point at one end and a fine shouldered-point at the other. The cone-point should never be used, as it makes too large a hole in the drawing paper.
Page 79 - Fig. 128 the lines CD, CB and CG are called isometric axes, and lines parallel to them are known as isometric lines. Planes including isometric lines are known as isometric planes. It is evident that only isometric lines may be measured, since they alone are equally foreshortened. Thus the isometric of the diagonals of the squares, AC and DB, are of unequal length, although in the original cube \ve know them to be equal.