Geodesic
A method of constructing general contact tangential charts
Applications of Mathematics, Tome 18 (1973) no. 4, pp. 238-248
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Let $F_{123}$ be a real functional of three real variables $t_1,t_2$ and $t_3$. We give a method of constructing the contact tangential chart of $F_{123}=0$ by the enveloping method. Given the parametric equations of $(t_1)$-and $(t_2)$-curves, we can obtain the parametric equation of $(t_3)$-curves, by classical differential-geometric method. Some examples are also given. A special case of the general contact tangential charts, consisting of one curvilinear scale and two families of envelopes is also studied. Finally, contact tangential charts of four variables or more are researched.
Let $F_{123}$ be a real functional of three real variables $t_1,t_2$ and $t_3$. We give a method of constructing the contact tangential chart of $F_{123}=0$ by the enveloping method. Given the parametric equations of $(t_1)$-and $(t_2)$-curves, we can obtain the parametric equation of $(t_3)$-curves, by classical differential-geometric method. Some examples are also given. A special case of the general contact tangential charts, consisting of one curvilinear scale and two families of envelopes is also studied. Finally, contact tangential charts of four variables or more are researched.
DOI : 10.21136/AM.1973.103476
Classification : 65S05 
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Morita, Katuhiko; Sato, Osamu. A method of constructing general contact tangential charts. Applications of Mathematics, Tome 18 (1973) no. 4, pp. 238-248. doi: 10.21136/AM.1973.103476

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[3] Záhora J.: Nomogrammes adjoints aux nomogrammes à lignes concourantes et aux nomogrammes à contact tangentiel ayant au moins un système d'isoplèthes courbes. (en tchèque). Apl. mat. 14 (1969), 195-209. | MR | Zbl

[4] Adams D. P.: Nomography - Theory and Application. Archon Books, Hamden, Connecticut, 1964, p. 113-133.

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