5126r
[Commentary:
The page is part of Harriot’s
introduction of compound diagrams of motion, a group of folios on which Harriot eventually succeeds in deriving, by means of such diagrams, a general expression for the time of flight of a projectile (Schemmel 2008, Section 8.2). ]
On this page, Harriot first formulates the problem to find the range of a shot
depending on the elevation angle and describes the first step to solve it,
the determination of the time of flight of a projectile.
The compound diagram of motion he puts forward (lower drawing on this page) is
inadequate for solving this problem.
The calculations based on this erroneous diagram are found on
f. 25. The problem is adequately formulated and solved on f. H-23. ]
3) For oblique motions.
To find where a motion at
randon will cut the horizon.
randon will cut the horizon.
Suppose it cut in the poynt ι.
& let ιδ be a perpendicular.
the time of δι is aequall to
the time of δα; for γθ is aequall
to γα & βH toβα .&c.
& let ιδ be a perpendicular.
the time of δι is aequall to
the time of δα; for γθ is aequall
to γα & βH toβα .&c.
Now the space of αε is geuen & the time:
the time of δα or δι is required.
the time of δα or δι is required.
It is performed by the
probleme following:
probleme following:
Data. â. .
Î. .
Î. .
Quaeritur: to draw the line in
such sort, as that:
, : αδ, δι. […]
such sort, as that:
, : αδ, δι. […]
This probleme is answered in the page following.
But that which in deed answereth the question is in page .5.)
But that which in deed answereth the question is in page .5.)
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