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I remember having this lying around. See attached for various view orientations.
Thanks,
jef
For those who still care:
To get a right elevation angle of alpha and a left elevation of beta, starting with the alpha edge at zero and the beta edge directly into the screen, there is one rotation about the vertical axis followed by one rotation about the horizontal axis.
The vertical rotation angle = atan(sqrt(tan(alpha)/tan(beta) ))
The horizontal rotation angle = asin(sqrt(tan(alpha)*tan(beta) ))
Excel formulas, using a cell named alpha and another named beta:
H rotation =DEGREES(ATAN(SQRT(TAN(RADIANS(alpha))/TAN(RADIANS(beta)))))
V rotation =DEGREES(ASIN(SQRT(TAN(RADIANS(alpha))*TAN(RADIANS(beta)))))
For alpha = 30, beta = 30, Isometric,
vertical rotation = 45 = atan(sqrt(1)) (because alpha = beta, tan(alpha)=tan(beta))
horizontal rotation = 35.264389682755 (you have a calculator...)
For alpha = 15, beta = 30, (typical, but not unique) Trimetric,
vertical rotation = 34.26465 and some degrees
horizontal rotation = 23.161231226046 and some degrees