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Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org

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CONICORUM LIBER I. 101<br />

nam si fieri potest, cadat intra ut FZ, et ordinate<br />

ducatur HB. et quoniam est BH'^ : Tz/^ > ZB^: F/l^<br />

[Eucl. V, 8], est autem ZB^ : Fz/^ =^ BA^ :<br />

[Eud. YI, 4], HB^ :<br />

est<br />

quare<br />

autem<br />

BE :<br />

FJ^<br />

BE:EA> BJ^^A^^.<br />

A^^<br />

= BE:JE [prop. XX], erit<br />

EJ = 4BEX EA : 4AE<br />

etiam<br />

4:BE X EA :<br />

permutando igitur<br />

4:BE X EA :<br />

AB^<br />

X Ezf.<br />

AAE XEJ >BA^: Azi\<br />

> 4:AE X E^ :<br />

AA^',<br />

quod fieri non potest; nam quoniam est AE = E^^<br />

erit4tAExEA = Azi^;estsi\item4BExEA

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