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inner arch x b y the arch will be weak, and it will be weaker in
proportion as the inner arch passes beyond that chord. When an arch
is loaded only on one side the thrust will press on the top of the
other side and be transmitted to the spring of the arch on that
side; and it will break at a point half way between its two
extremes, where it is farthest from the chord.
7
82.
A continuous body which has been forcibly bent into an arch, thrusts
in the direction of the straight line, which it tends to recover.
7
83.
In an arch judiciously weighted the thrust is oblique, so that the
triangle c n b has no weight upon it.
7
84.
I here ask what weight will be needed to counterpoise and resist the
tendency of each of these arches to give way?
[Footnote: The two lower sketches are taken from the MS. S. K. M.
III, 10a; they have there no explanatory text.]
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