Planimeter Applet
Try This!
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Select "data/us.jpg" from the drop down box at the middle right.
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Wait a long time for it to download.
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Scroll the map down until you see the scale for the continental U.S.
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Select the "ruler" checkbox.
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Drag the mouse from the beginning of the scale to the end (500 miles)
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Click on the text box after "ruler", and enter "500"
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Click on the "scale name" checkbox.
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Click on the text box after "scale name" and enter "miles". (Technically,
this particular text box is a placebo.)
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Scroll the map until you see Ohio.
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Click on the "move" checkbox.
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Click the mouse about 1/3 of the way from Springfield IL toward Chicago.
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Click on the "clear and trace" checkbox.
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Trace the outline of Ohio (press the mouse button somewhere on the perimeter
of Ohio and then move the mouse around the perimeter while holding the
button down and be careful to finish at your starting point.)
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Look at the value in the text box after "wheel reading." The number
there should be about 40000.
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The area of Ohio is 41,222 square miles.
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Structure of the Instrument
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The Wheel
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Tracer Arm Movement
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Tracer Arm Rotation
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Doubling Back Movement
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Position of the Pivot
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Path of the Pivot
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Measuring Twice or in the Opposite Direction
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The Zero Circle
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Mathematical Definitions
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Areas Measured
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Corrections for Rotation of the Tracer Arm
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Mathematical Expressions of Areas
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Formula for Area
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Formula for the Zero Circle
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Proof of the Zero Circle
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Formula for the Wheel Reading
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Description of the Wheel Reading
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Significance of the Wheel Reading
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Geometric Interpretation of the Wheel Reading
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Purpose of the Java Applet
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Organization of the Applet Window
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Colors in the Drawing Area
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Some Areas Not Represented
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Table of Area Colors
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Planimeter Consists of Narrow Lines
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Numeric Values of Areas
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Selection of the Sample
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Selection of the Drawing Mode
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Tracing in the Drawing Area
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Tracing Modes
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Clearing
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Move and Resize Modes
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Resize Modes
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Resizing Effects in the Drawing Area and Textboxes
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Negative Numbers in Textboxes Implement Special
Features
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Scaling Modes
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Ruler Mode
Larry
Leinweber, Proprietor
Return to Larry's Planimeter Platter
Return to Larry's Cerebral Snack Bar