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In the second mement form C to D. In the third
moment from D to E, & so forth infinitely, describing the line
ACDEF,
&c. The spaces AC, CD, DE, EF, &c. And all the rest being equall,
and described in equall moments (or times.) This line by the former
definition shall be said to increase equally.
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| A Corollary or
consequent. |
Therefore by this increasing, quantities
equally differing, must needes be produced, in times equally
differing.
As in the Figure before, B went forward from
A to
C in one moment, and from A to E in three moments. So in sixe
moments from A to H: and in 8 moments from A to
K. And the
differences of those moments, one and three, and of these 6 and 8
are equall, that is to say two.
So also of those quantities AC, and AE, and of these,
AH, and AK,
the differences CE, and HK are equall, and therefore differing
equally, as before.
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| 2. Definition |
A line is said to decrease
proportionally into a shorter, when the poynt describing the same in
æquall times, cutteth off parts continually of the same proportion
to the lines from which they are cut off.
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For examples sake. Let the line of the
whole sine aZ be to bee diminished proportionally: let
the poynt diminishing the same by his motion be b: and let the
proportion of each part to the line from wch it is cut off, be as QR
to QS. |
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