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AG is equal to GE, [I.43]
and
AG is the rectangle AC, CB,
for
CG is equal to CB,
therefore
GE is also equal to the rectangle AC, CB.
Therefore
AG, GE are equal to twice the rectangle on AC, CB.
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T H E E L E M E N T S |
Book II Proposition 4 | |
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Now, since AG is equal to GE, [I.43] and AG is the rectangle AC, CB, for CG is equal to CB, therefore GE is also equal to the rectangle AC, CB. Therefore AG, GE are equal to twice the rectangle on AC, CB. |
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