Notes On Mammals Collected Principally in Washington Amd California Between the Years 1853 And 1874

Cover Notes On Mammals Collected Principally in Washington Amd California Between the Years 1853 And 1874
Notes On Mammals Collected Principally in Washington Amd California Between the Years 1853 And 1874
Taylor Walter Penn
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VIII. The fourth oblong phase of the same shape as the third phase but with the position of the points 2, 5 and 8 inverted.
Digitized by Google 184 CALIFORNIA ACADEMY OF SCIENCES [Pioc.4THSn.
This is the final shape of the spreading pencil according to Sturm's theory.
The actual focal transformations are much more compli- cated as will be comprehensible from a study of the second set of diagrams.
(a) The initial phase precisely like that used in the pre- ceding series of diagrams.
(b) The first
... conjunction, the plane where points 1 and 2 are nearest. There is a point in line between 2 and 5 which does coincide with 1 on a plane not far above this.
(c) The first crossing, the plane where 4 coincides with 5.
The point 4 has been travelling along the line 4 and 5 and when it reaches that point the remainder of the line stretches out a short distance behind.
(d) The second conjunction being the plane showing the nearest approach of 1 and 3. This phase is probably in general shape mose nearly comparable with phase II, according to the Sturm theory.


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