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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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Presentation on theme: "A Mechanical Device: the sector compass Alfredo Rodriguez Department of Mathematical Sciences University of Texas at El Paso October 16, 2001."— Presentation transcript:

1 A Mechanical Device: the sector compass Alfredo Rodriguez Department of Mathematical Sciences University of Texas at El Paso October 16, 2001

2 Outline Sector compass –Description of device –Different scales Lines of lines Lines of superficies –Application –Building your own sector compass

3 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

4 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

5 Sector Compass

6 Scales of Line of Lines Each ruler has equally space marks starting from point A.

7 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.

8 How tall is the chair? This artwork is outside of Denver Public Library. The horse is 7 ft tall.


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