Linear Algebra and Group Theory for Physicists and Engineers by Yair Shapira

Author:Yair Shapira
Language: eng
Format: epub, pdf
ISBN: 9783030178567
Publisher: Springer International Publishing

(Fig. 6.11). The tangent plane at v is perpendicular to

More explicitly, the tangent plane at v is

In particular, v itself belongs not only to the conic but also to this plane, as required.

To have a better geometrical understanding, let’s project obliquely, to make a shadow on the horizontal plane . The projected conic is the circle

Furthermore, the projected is the line

As can be seen in the upper left part of Fig. 6.11, this line is indeed tangent to the circle at the projected v:

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