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CHAPTER I.

Planimeters in General.

Planimeters Defined.

As ordinarily defined the Planimeter is an instrument by means of which the area of any plane figure coming within its range can be accurately measured without calculation and regardless of the shape or irregularity of its outline.

Were the capacity of the instrument limited to the single operation of the accurate measurement of plane areas, as just stated, the Planimeter would still be one of the most valuable, if not the most valuable of the Engineer's mechanical assistants, but when we consider that not only will the Polar Planimeter perform this operation with an accuracy and rapidity unequalled by any other known means, but that it has in addition a range of application so wide as to include almost every form of operation incident to Engineering work, we are able to gain some adequate appreciation of the value and importance of the instrument.

So much has already been said on this subject in the introductory chapter that it need not be further spoken of here, the following chapters describing these practical applications furnishing abundant proof that the statements there made by no means exaggerate either the capacity or ability of the instrument.

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