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• List of Tables
• List of Plates

Introductory (page 11.)

Explanation of Tables (page 14.)

Chapter I.   Planimeters in General  (page 17.)

1. Planimeters Defined.
2. History.

Chapter II.   The Polar Planimeter (page 19.)

1. Essential Parts of the Instrument.
2. Polar and Tracer Arms.
3. Pole and Its Forms.
4. Tracer Arm and Its Graduation.
5. Carriage, Carriage Vernier and Attachments.
6. Settings.
7. Tracer Rests and Adjustments.
8. Integrating Wheel and Recording Mechanism.
9. Vernier Units, Relative and Actual Vernier Units.
10. Adjustment and Care of the Instrument.
11. Test Plate and Its Uses.
12. Influence of Surface on Wheel Movement.
13. Most Favorable Position.
14. Point of Beginning.

Chapter III.   Theory of the Polar Planimeter (page 28.)

1. Theory of Planimeters in General.
2. Symbols and Notation.
3. Instrument Constants.
4. General Principle of the Polar Planimeter.
5. General Equation of the Polar Planimeter.
6. Analysis of Movements of Integrating Wheel.
7. Revolutions of the Wheel and Their Significance.
8. The Zero Circle.
9. Relation of Roll of Wheel to Area Traced.
10. Fundamental Equations.
11. Range of the Instrument.
12. Settings— Their Determination and Use.
13. Vernier Units.
14. Constants— Their Derivation and Use.

Chapter IV.   Measurement of Plane Areas (page 42.)

I.   Measurement in General.

1. Methods of Measurement.
2. Examination and Adjustment of the Planimeter.

II.   Measurement of Small Areas.

1. Adjustment of Drawing and Instrument.
2. Tracing the Figure.
3. Example of Measurement.
4. Formula for Area.
5. Conditions for Accuracy.
6. Use of Guide or Template.
7. Accuracy of Results.

III.   Measurement of Large Areas.

1. Adjustment of Drawing and Instrument.
2. Tracing the Figure.
3. Movements of Integrating Wheel.
4. Example of Measurement.
5. Use of the Constant.
6. Formula for Area.
7. Accuracy of Results.

Chapter V.   Problems Involving Averaging (page 54.)

1. Application of General Principle of Planimeter.
2. Demonstration of Principles Involved.
3. Adjusting the Planimeter.
4. Special Attachment for Measuring Av. Ht. of Diagrams.
5. Method of Measurement.
6. Example of Measurement.
7. Discussion.
8. Application To or Discharge of River and Similar Diagrams.
9. General Notes on the Method.

Chapter VI.   Quantities of Materials (page 60.)

I.   Volumes from Cross Sections.
 
1.   Methods of Measurement in General.
 
Mean End Areas and Prismoidal Methods of Measurement.


2.   Volumes of Single Prismoids.
 
1. Application of the Prismoidal Formula.
2. Method of Plotting the Cross Sections.
3. Method of Measurement.
4. Accuracy of Results.

 
3.   Volumes of Continuous Prismoids.
 
a.   Volumes from Plotted Sections.
 
1. Deduction of Formula.
2. Method of Measurement.
3. Example of Measurement.
4. Accuracy of Results.
 
b.   Volumes from Field Notes direct.
 
1. Advantages of the Method.
2. Preparing the Templet.
3. Form of Field Notes.
4. Method of Measurement and Use of the Template.
5. Accuracy of Results.

Chapter VII.   Quantities of Materials— Continued (page 74.)

II.   Volumes from Original Contours

1.   General Method of Measurement.

2.   Grading Over Extended Areas.

1. Preparation of Diagram.
2. Application of the Prismoidal Formula.
3. Method of Measurement.

3.   Contents and Areas of Reservoirs.

1. Description of Diagram.
2. Application of Prismoidal Formula.
3. Method of Measurement.
4. Measurement of Area.

4.   Displacement Diagrams.

1. Description of the Problem.
2. Preparation of Diagram.
3. Measurement of Method.

Chapter VIII.   Quantities of Materials— Continued (page 83.)

III.   Volumes from Original and Final Contours.

1.   General Method of Measurement.

2.   Grading Over Extended Areas.

1. Preparation of Diagram.
2. Method of Measurement.

3.   Volumes of Materials in Reservoir and Similar Construction.

1. Description of Problem.
2. Preparation of Diagram.
3. Method of Measurement.

Chapter IX.   Quantities of Materials— Continued (page 88.)

IV.   Special Methods of Measurement of Quantities.

1.   Volumes of Brickwork.

Method of Measurement.

2.   Weights of Metals.

1. Method of Measurement.
2. Gauge Points and Their Use.

Chapter X.   Various Forms of Planimeters and their Characteristics (page 91.)

1. Area Planimeter.
2. Polar Planimter.
3. Improved Polar Planimeter.
4. Compensating Planimeter.
5. Precision Planimeters.
6. Precision Rolling Planimeter.
7. Precision Disk Planimeter.
8. Mechanical Integraphs and Integrators.
9. Coradi's Mechanical Integraph.

Chapter XI.   Accuracy of Planimeter Measurements (page 101.)

Tables (Page 103.)

Plates (page 115.)

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