A manual of mechanical drawing .. by Johnston Philip D

Author:Johnston, Philip D. [from old catalog]
Language: eng
Format: epub, pdf
Publisher: [n.p.]
Published: 1903-03-25T05:00:00+00:00

PLATE 8

B 3' H F

A MANUAL OF MECHANICAL DRAWING.

Plates 9 and 10. The Hyperbola. If a cone ABC (Fig. 10), of which A C is the base, is cut by a plane J K, parallel with but not through its axis, B G, and perpendicular to its base, the outline of the section thus obtained will be an open curve called a hyperbola, and shown by N J O (Fig. 11).

If two cones (ABC and D B E, Fig. 10) are placed so that their apexes join, and if their axes, B G, B F, are in the same straight line, and they are K cut by the same plane, H I L J K, parallel with F B G, the sections thus obtained will form two hyperbolas, N J O and P I O, as shown in Fig. 11, which are called the branches of the hyperbola. I and J are the vertices of the curves, and the line I J, the distance between the vertices, is the transverse axis. This is the same as I J in Fig. 10, and has been defined as that part

of the axis which, if continued, would join an opposite cone. The congregate axis, L M, is a line drawn through the transverse axis and at right angles to it. It is equal to twice the distance L B (Fig. 10), of the intersecting plane I J, from the axis of the cone from which the cone is pro-

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