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" The area of a rectangle is equal to the product of its base and altitude. "
A Treatise on Elementary Geometry: With Appendices Containing a Collection ... - Page 118
by William Chauvenet - 1875 - 368 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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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 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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Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ...

Charles Davies - Geometrical drawing - 1846 - 254 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: 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 EFGH, having a...
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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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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 of the number...
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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...
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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, having a longer base...
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The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

Edward Brooks - Geometry - 1868 - 284 pages
...true when it becomes infinitely small, as it must when the two sides are incommensurable. Therefore, the area of a rectangle is equal to the product of its. base and altitude. Cor. 1. Rectangles are to each other as the product of their bases and altitudes. For, let AB and AD...
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