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A Mechanical Device: the sector compass Alfredo Rodriguez Department of Mathematical Sciences University of Texas at El Paso October 16, 2001
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Outline Sector compass –Description of device –Different scales Lines of lines Lines of superficies –Application –Building your own sector compass
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Sector Compass Introduction –Invented by Guidi Ubaldo de Monte –The device has different scales Lines of line Lines of superficies –The compass was used for about two centuries
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Description of Sector Compass Given that AB=AC. If AE=AD, then AC and AB are cut proportionally. Draw in BC and DE AB:AD=BC:DE AB and AC are legs of sectors
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Sector Compass
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Scales of Line of Lines Each ruler has equally space marks starting from point A.
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Application for the Sector Ruler using line of lines Increase a given line segment p by proportion of 3:5. Given a segment, p. Open rulers up until p fits into 3-3, then find 5-5 segment. This will be the desired length.
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How tall is the chair? This artwork is outside of Denver Public Library. The horse is 7 ft tall.
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