Theatre Design & Technology - Winter 1978 - 12

An application of particular use in situations involving
video or film is the determination of precise angles of view to
aid in establishing camera lens angles and distances. The
system can work in both directions: to determine camera
angle if you know the size of the object and the camera

To calculate the dimensions of a setting from a previous
constructed perspective sketch or rendering, you will fi rst
need to either determine or estimate the horizon line, centerline, scale, and viewing distance. The first step is to determine
upstage distances by comparing the location of a point or line
below the horizon line with the actual horizon line height (Fig.
15). As usual, (d') represents the viewing distance, and (d) is
the total of the observer distance and the upstage distance.
Once (d) has been determined, actual dimensions can be
calculated by measuring on the drawing the distances from
either the centerline or the horizon line (Fig. 16).

Conclusion.
As with any knowledge or technique, ease of use comes
with practice. When the individual has fully absorbed the information, its application becomes second nature. To review
the system's advantages: it is simple, quick, clean (fewer
construction lines to erase), compact (no need for extensive
paper), convenient (irrelevance of floorplan scale to scale of
rendering), flexible (adjustable to any scale). and mathematically accurate.

Figure 14

distance; and to determine the proper distance for the camera, given the size of the object and the lens angle (Fig. 14).
A calculator which can handle trig functions will be able to
provide the arc-tangent (the angle for which a particular number is the tangent) or the tangent for a particular angle.
Remember that you are always working with half the total lens
angle and half the full width of the scene or object because
the tangent formula always must involve a right angle.
NOTE: If you have constructed your rendering by using the
engineer's scale rule as suggested, the tangent of a viewing
angle will be easily read directly on the rule. Divide the
figure on the rule (s') by 100 (d').

BIbliography
Descargues, Pierre, Perspective. N.Y.: Abrams, 1977.
Franceschi, Pietro, De Prospectiva Pingendi, ed. C. Winterberg.
Strassburg: Heintz & MOndel, 1899.
Gadol, Joan, Leon Battista Alberti: Universal Man of the Early Renaissance. Chicago: Univ. of Chicago, 1969.
Holt, Elizabeth G., ed., A Documentary History of Art, Vol. I: The
Middle Ages and the Renaissance. N.Y.: Anchor, 1957.
Ivins, William M., On the Rationalization of Sight. N.Y.: Da Capo,
1973.
Ruskin, John, The Elements of Perspective; Arranged for the Use of
Schools, and Intended to be Read In Connection with the First
Three Books of Euclid. N.Y. Wiley, 1877.

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US ITT/Winter, 1978



Table of Contents for the Digital Edition of Theatre Design & Technology - Winter 1978

Contents
Theatre Design & Technology - Winter 1978 - 1
Theatre Design & Technology - Winter 1978 - 2
Theatre Design & Technology - Winter 1978 - 3
Theatre Design & Technology - Winter 1978 - Contents
Theatre Design & Technology - Winter 1978 - 5
Theatre Design & Technology - Winter 1978 - 6
Theatre Design & Technology - Winter 1978 - 7
Theatre Design & Technology - Winter 1978 - 8
Theatre Design & Technology - Winter 1978 - 9
Theatre Design & Technology - Winter 1978 - 10
Theatre Design & Technology - Winter 1978 - 11
Theatre Design & Technology - Winter 1978 - 12
Theatre Design & Technology - Winter 1978 - 13
Theatre Design & Technology - Winter 1978 - 14
Theatre Design & Technology - Winter 1978 - 15
Theatre Design & Technology - Winter 1978 - 16
Theatre Design & Technology - Winter 1978 - 17
Theatre Design & Technology - Winter 1978 - 18
Theatre Design & Technology - Winter 1978 - 19
Theatre Design & Technology - Winter 1978 - 20
Theatre Design & Technology - Winter 1978 - 21
Theatre Design & Technology - Winter 1978 - 22
Theatre Design & Technology - Winter 1978 - 23
Theatre Design & Technology - Winter 1978 - 24
Theatre Design & Technology - Winter 1978 - 25
Theatre Design & Technology - Winter 1978 - 26
Theatre Design & Technology - Winter 1978 - 27
Theatre Design & Technology - Winter 1978 - 28
Theatre Design & Technology - Winter 1978 - 29
Theatre Design & Technology - Winter 1978 - 30
Theatre Design & Technology - Winter 1978 - 31
Theatre Design & Technology - Winter 1978 - 32
Theatre Design & Technology - Winter 1978 - 33
Theatre Design & Technology - Winter 1978 - 34
Theatre Design & Technology - Winter 1978 - 35
Theatre Design & Technology - Winter 1978 - 36
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