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The reference to Pappus is to Commandino's edition of Books III to
<emph style="it">Mathematicae collectiones</emph>
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(Pappus </ref>
. The relevant proposition on page 44 is Proposition IV.11. Harriot's diagram is the same as the one given by Commandino except for his use of lower case letters. </s>
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Theorema XI. Propositio XI.
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Sit semicirculus ABC, & inflectatur CBA. ducaturque CD ita, vt CB fit æqualis utrisque simul AB & perpendiculares BE EF ducantur. Dico AF ipsius BE duplæ </s>
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Let there be a semicircle ABC, curved along CBA. The line CD is drawn so that CB is equal to AB and CD together,
and there are drawn the perpendiculars BE and EF. I say that AF is twice BE.</s>
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Utile ad