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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 - Page 91
by Charles Hutton - 1788 - 703 pages
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1814 - 346 pages
...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...
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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 324 pages
...magnitudes, and subtract half the difference from half the sum, and the remainder is the less. (262) Since the area of a rectangle is equal to the product of its sides, it follows that if the area be divided by one Me the quote will be the other side. It is scarcely...
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First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - Geometrical drawing - 1840 - 252 pages
...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...
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A Treatise on Surveying: Containing the Theory and Practice : to which is ...

John Gummere - Surveying - 1846 - 266 pages
...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...
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Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ...

Charles Davies - Geometrical drawing - 1846 - 240 pages
...It is a square, of which the linear unit is the side. 10. How do you find the area of a rectangle ? 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...
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THE LOGIC AND UTILITY OF MATHEMATICS,

CHARLES DAVIES, LL.D. - 1850
...second shall decrease according to the same law ; and the reverse. term. GEOMETRY. 249 For example : the area of a rectangle is equal to the product of its base and altitude. Then, in the Example rectangle ABCD, we have Area = AB x BC. Take a second rectangle...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1855 - 592 pages
...bases : generally, any two rectangles are to each other as the product of their bases and altitudes. The area of a rectangle is equal to the product of its liase and altitude. The area of a rectangle is also equal to the product of its diagonals multiplied...
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ELEMENTS OF GEOMETRY AND TRIGONOMETRY

CHARLES DAVIES, LL.D. - 1863
...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...
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Primary Elements of Plane and Solid Geometry: For Schools and Academies

Evan Wilhelm Evans - Geometry - 1862 - 98 pages
...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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Outlines of Mathematical Science for the School Room

Charles Davies - Mathematics - 1867 - 168 pages
...law of change, the second shall decrease according to the same law ; and the reverse. For example : the area of a rectangle ^ is equal to the product of its base and altitude. Then, in the rectangle ABCD, we have Area=AB x BO. Take a second rectangle EFGII,...
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