A suitable stereographic projection shows : \ mathcal L ( K ) is isomorphic to the geometry of the plane sections on a quadric cylinder over field K.
12.
As for the M�bius plane, there exists a 3-dimensional model : the geometry of the elliptic plane sections on an orthogonal cylinder ( in \ R ^ 3 ).
13.
With the army reform in 1975 the many light plane sections and helicopter sections were renamed squadrons and merged to form squadrons groups, equally in size to a battalion.
14.
One notable work, often cited by others in mathematics, is " Rough draft for an essay on the results of taking plane sections of a cone " ( 1639 ).
15.
Vorse's section was headed for Tulagi at the time and was so surprised to see the three-plane section of Val dive bombers from 5th Air Attack Force's 2nd Air Group that they almost flew past them.
16.
But in this case the quadric lives in "'projective "'3-space : The classical real Minkowski plane is isomorphic to the geometry of plane sections of a hyperboloid of one sheet ( not degenerated quadric of index 2 ).
17.
The top planes are attached to a centre plane-section-which, it will be observed, is peculiar in that it is arched-supported above the boat by two pairs of struts, whilst the lower plane sections are mounted on the hull.
18.
Analogously to the classical M�bius and Laguerre planes, there exists a 3-dimensional model : The classical Minkowski plane is isomorphic to the geometry of plane sections of a hyperboloid of one sheet ( non degenerated quadric of index 2 ) in 3-dimensional projective space.
19.
The analytic determination of the intersection curve of two surfaces is easy only in simple cases; for example : a ) the intersection of two planes, b ) plane section of a quadric ( sphere, cylinder, cone, etc . ), c ) intersection of two quadrics in special cases.
20.
On 7 August 1942, after sighting a group of about 27 enemy bombers with escorts, Lieutenant ( j . g . ) Holt led his two-plane section through the enemy fighters, downing several, and helped to turn back the bombers, continuing his relentless attacks until his own aircraft was shot down.
