8 September 1995 Can we make quadratic surfaces by cylinder?
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Abstract
Can we make quadratic surfaces, especially paraboloidal, ellipsoidal, and hyperboloidal surfaces more simply? Are there more simple ways without using complex machines? In answer to these questions, we designed what we call the 'Cylinder Method'. It is very effective and in principle relatively simple. First, we consider the locus created by dropping a line perpendicular to the optical axis from any point on the cross section of the cylinder and rotating about optical axis. Second, we pay attention to the phenomenon that all cross sections of quadratic surfaces and cylinders are ellipses. We decide on the form of a cylinder which has a common cross section with quadratic surfaces. We discuss cylinders which are useful as tools or gauges for quadratic surfaces.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Masao Sugiura, Koro Shishido, Haruo Fujisaki, Hiroyuki Kobayashi, Tetsuo Shoji, "Can we make quadratic surfaces by cylinder?", Proc. SPIE 2536, Optical Manufacturing and Testing, (8 September 1995); doi: 10.1117/12.218451; https://doi.org/10.1117/12.218451
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