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B(1) is a point on the side AC of Delta...

`B_(1)` is a point on the side AC of `DeltaABC` and `B_(1)B` is joined. A line is drawn through a parallel to `B_(1)B` meeting BC at `A_(1)` and another line is drawn through C parallel to `B_(1)B` meeting AB produced at `C_(1)` The

A

`(1)/(C C_(1))-(1)/(A A_(1))=(1)/(B B_(1))`

B

`(1)/(C C_(1))+(1)/(A A_(1))=(1)/(B B_(1))`

C

`(1)/(BB_(1))-(1)/(A A_(1))=(2)/(C C_(1))`

D

`(1)/(A A_(1))-(1)/(C C_(1))=(2)/(B B_(1))`

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