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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. "
Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ... - Page 111
by Charles Davies - 1846 - 240 pages
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A Treatise on Mensuration, Both in Theory and Practice

Charles Hutton - Measurement - 1788 - 728 pages
...breadth. But the area is equal to the number of fquares or fuperficial meafuring units ; and therefore the area of a rectangle is equal to the product of its length and breadth. Again, a rectangle is equal to an oblique parallelogram of an equal length and...
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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 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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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 138 pages
...for any other values of AD and AB, we conclude universally that the area of a right parallelogram is equal to the product of its base by, its altitude. If the right parallelogram be a square, since by the definition the base and altitude are the same — we...
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First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - Geometrical drawing - 1840 - 262 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...altitude 5 yards, the area will be 150 square yards. 9. The area of a square is equal to the product of its two equal sides ; that is, to the square of...
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The Logic and Utility of Mathematics: With the Best Methods of Instruction ...

Charles Davies - Logic - 1850 - 390 pages
...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 - 628 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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Primary Elements of Plane and Solid Geometry: For Schools and Academies

Evan Wilhelm Evans - Geometry - 1862 - 116 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 of its...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1863 - 464 pages
...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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Outlines of Mathematical Science for the School Room

Charles Davies - Mathematics - 1867 - 186 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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The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

Edward Brooks - Geometry - 1868 - 284 pages
...other. It is one of the most interesting and practical books of Geometry. AREA OF POLYGONS. THEOREM I. The area of a rectangle is equal to the product of its base and altitude. Let ABCD be a rectangle; then will its area be equal to the product of its base...
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