Loci related to variable flanks - Zvonko Cerin

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    Loci related to variable flanks - Zvonko Cerin​

    Let BR_1R_2C, CR_3R_4A, AR_5R_6B be rectangles build on sides of a triangle ABC such that the oriented distances |BR_1|, |CR_3|, |AR_5| are \lambda |BC|, \lambda |CA|, \lambda |AB| for some real number \lambda. We shall explore relationships among central points of ABC, AR_4R_5, BR_6R_1, and CR_2R_3. Our results extend recent results by Hoehn, van Lamoen, C. Pranesachar and Venkatachala who considered the case when \lambda=1 (with squares erected on sides).

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