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Answer for the clue "A measuring instrument for measuring the area of an irregular plane figure ", 10 letters:
planimeter

Word definitions for planimeter in dictionaries

The Collaborative International Dictionary Word definitions in The Collaborative International Dictionary
Planimeter \Pla*nim"e*ter\, n. [Plani- + -meter. Cf. Planometer .] An instrument for measuring the area of any plane figure, however irregular, by passing a tracer around the bounding line; a platometer.

Wikipedia Word definitions in Wikipedia
A planimeter , also known as a platometer , is a measuring instrument used to determine the area of an arbitrary two-dimensional shape.

Wiktionary Word definitions in Wiktionary
n. An integrating device used to measure the area of an irregular figure via tracing its outline.

WordNet Word definitions in WordNet
n. a measuring instrument for measuring the area of an irregular plane figure [syn: integrator ]

Usage examples of planimeter.

In all applications of the planimeter the rod is brought back to its original position.

Hence if the curve is drawn, any planimeter may be used for finding the value of the integral.

In fact, a planimeter may often be used with advantage to solve problems more complicated than the determination of a mere area, by converting the one problem graphically into the other.

This part is therefore a simple planimeter, in which the one end of the arm moves in a straight line instead of in a circular arc.

He thought about the two wheels he remembered the planimeter used for tracking, and as he did everything magically came into form.