. Edinburgh New Philosophical Journal . 3 4 5 6 7 8 X Draw yx parallel to YX. Take Ay to ycc as 1;^ to S|, that is, as h, the range of position of the spectator, to d the distance between the seats. Take horizontal distances 1,2, 3, 4, &c. = 2A feet; prolong toa^i, then the height .r, to Z= 1| feet. Join Al and ])rolong it to x-j, and take a distance to m z= 1 ^ \ through m draw A m, and prolong it x^, and take 5^3 n= li feet; through n draw A 71, prolong it to x^, and take XiO = 1^ feet. Continue this process on in the same manner to p, q, r, s, t, &c., and you will find point
. Edinburgh New Philosophical Journal . 3 4 5 6 7 8 X Draw yx parallel to YX. Take Ay to ycc as 1;^ to S|, that is, as h, the range of position of the spectator, to d the distance between the seats. Take horizontal distances 1,2, 3, 4, &c. = 2A feet; prolong toa^i, then the height .r, to Z= 1| feet. Join Al and ])rolong it to x-j, and take a distance to m z= 1 ^ \ through m draw A m, and prolong it x^, and take 5^3 n= li feet; through n draw A 71, prolong it to x^, and take XiO = 1^ feet. Continue this process on in the same manner to p, q, r, s, t, &c., and you will find points which are the successive places which the heads of the auditors should occupy. The bottom of the seats must rise by the same quantity. But it is not only in receding that the back seats must rise; we have already noticed that the seats which are too far forward are also unpleasant,—they are too low ; they also should be raised, but this must be done so as not to interrupt those who are behind. This, too, may be accomplished in a similar way ; for, as formerly set off, 1, 2, 3, 4, 5, 6, &: 2^ feet. 1 is the
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