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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 Geometry for Beginners

George Anthony Hill - Geometry - 1880 - 314 pages
...number of linear units in the base by the number of linear units in the altitude. Or, more briefly : The area of a rectangle is equal to the product of its base by its altitude. If the area and base are known, how can the altitude be found? If the area and...
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Elements of Geometry

George Albert Wentworth - 1881
...= ) is to be read " equal in area." R a' К a' 1 GEOMETRY. BOOK IV. PROPOSITION III. THEOREM. 319. The area of a rectangle is equal to the product of its base and altitude. \ U b 1 Let I be the rectangle, b the base, and a the altitude ; and let U be...
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The Complete Arithmetic, Oral and Written, on the Basis of Works

Henry Bartlett Maglathlin - Arithmetic - 1882 - 368 pages
...1 square inch each ; and 2 such rows contain 2 times 3 square inches, or 6 square inches. That is, The area of a rectangle is equal to the product of its length and breadth, taken in the same denomination. Also, One of the dimensions of a rectangle is equal to the area divided...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 266 pages
...AB, have to each other the same ratio. Hence AFH : ADG :: AFxAH : ADxAG. Proposition 16. Theorem. — The area of a rectangle is equal to the product of its adjacent sides. Let AC be a rectangle ; its area is equal to the product of AB and BC. GEOMETRY.—...
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Fish's Arithmetic Number One[-two]: Oral and Written ..., Volume 2

Daniel W. Fish - Arithmetic - 1883
...of each rectangle. The units' figure of the root is equal to the width of one of these rectangles. The area of a rectangle is equal to the product of its length and width (2 15); hence, if the area be divided by the length, the quotient will be the 20 400 width....
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Fish's Arithmetic Number Two: Oral and Written, Upon the Inductive ..., Book 2

Daniel W. Fish - Arithmetic - 1883 - 352 pages
...of each rectanple. The units' figure of the root is equal to the width of one of these rectangles. The area of a rectangle is equal to the product of its length and width (2 15); hence, if the area be divided by the length, the quotient will be the width. Now, since...
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Essentials of Geometry

Alfred Hix Welsh - Geometry - 1883 - 267 pages
...ab : a'b'. Q. E . D. QUERY. What Problem of Ch. V is involved in the construction of R"? THEOREM IV. The area of a rectangle is equal to the product of its base by its altitude. R 4 6' Let R be any rectangle with base b and altitude a. Upon any assumed base,...
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Elementary Geometry: Including Plane, Solid, and Spherical Geometry, with ...

Edward Olney - Geometry - 1883 - 333 pages
...of their bases by their altitudes. 349. SCHOLIUM.—The arithmetical signification of the theorem, The area of a rectangle is equal to the product of its txixe, and altitude, is this: Let the base be 6 and the altitude a; then we have, by the proposition,...
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The Eclectic School Geometry: A Revision of Evan's School Geometry

Evan Wilhelm Evans - Geometry - 1884 - 155 pages
...XII); that is, the two diagonals bisect each other in E. Therefore, the diagonals, etc. THEOREM XXIII. The area of a rectangle is equal to the product of its base by its altitude. Let ABCD be a rectangle. It D c is to be proved that its area is equal to the...
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A Grammar Shcool Arithmetic

George Albert Wentworth - Arithmetic - 1886 - 372 pages
...rectangle equivalent to the square, but which cannot be made to coincide with it. FIG. 43. 417. THEOREM. The area of a rectangle is equal to the product of its base by its altitude ( 160). 418. THEOREM. The area of a square, therefore, is equal to the square...
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