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" The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R. "
A Treatise on Mensuration, Both in Theory and Practice - Σελίδα 91
των Charles Hutton - 1788 - 703 σελίδες
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

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...length drawn into the breadth. But the area is equal to the number of squares or superficial measuring units; and therefore the area of a rectangle is equal to the product of the length and breadth. Again, a rectangle is equal to any oblique parallelogram of an equal length...

The First Six Books of the Elements of Euclid, with a Commentary and ...

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First Lessons in Geometry: With Practical Applications in Mensuration, and ...

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...the unit of the number which expresses the area, is a square of which the linear unit is the side. 8. The area of a rectangle is equal to the product of its base by its altitude. If the base of a rectangle is 30 yards, and the altitude 5 yards, the area will...

A Treatise on Surveying: Containing the Theory and Practice : to which is ...

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...by the breadth. But the area is equal to the number of squares or superficial measuring units ; anrl therefore the area of a rectangle is equal to the product of the length and breadth. Again, a rectangle is equal to any oblique parallelogram of an equal length...

Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ...

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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

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Elements of Geometry and Trigonometry

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...the rectangle AEGF will be the superficial unit, and we shall have, AB x AD ABCD = AB x AD : hence, the area of a rectangle is equal to the product of its base and altitude ; that is, the number of superficial units in the rectangle, is equal to the product...

Primary Elements of Plane and Solid Geometry: For Schools and Academies

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...VII) ; that is, the two diagonals bisect each other in E. Therefore, the diagonals, etc. THEOREM XVI. The area of a rectangle is equal to the product of its base by its altitude. Let ABCD be a rectangle. It is to be proved that its area is equal to the product...

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