Mathematics, 25.04.2021 22:10 Syaralopez

Descartes was able to construct the product and quotient of two quantities using similar triangles. Suppose AB is taken to equal 1, and one wants to multiply BD by BC (see the figure on the right). Join AC and draw DE parallel to CA. 1. Show that BE is the product of BD and BC.

2. Similarly, given two lengths BE and BD, construct the quotient length.

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