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. Elementary Algebra Revised - Page 9by Frederick Howland Somerville - 1913 - 447 pagesFull view - About this book
| Daniel W. Fish - Arithmetic - 1874 - 538 pages
...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 (462) ; hence, if the area be divided by the length, the quotient will be the width.... | |
| John Reynell Morell - 1875 - 220 pages
...or in other terms, the first rectangle is 4J times greater than the second rectangle. THEOREM III.* The area of a rectangle is equal to the product of its base by its height if the linear unity is the side of the square which is taken for the unity of surface.... | |
| William Guy Peck - Conic sections - 1876 - 412 pages
...B. 3) ; that is, = ~, or ACDE : KLMN :: AC : KL, AU which was to oe proved. PROPOSITION II. THEOREM. The area of a rectangle is equal to the product of its base and altitude. Let AD he a rectangle and AL the assumed superficial unit, that is, a square each... | |
| George Albert Wentworth - Geometry - 1877 - 436 pages
...figures which have equal areas. R a' R a' S b V b GEOMETRY. BOOK IV. PROPOSITION III. THEOREM. 319. The area of a rectangle is equal to the product of its base and altitude. R bl Let R be the rectangle, b the base, and a the altitude ; and let U be a square... | |
| William Guy Peck - Arithmetic - 1877 - 430 pages
...is an expression for that surface in terms of a square unit. NOTE. — It is shown in geometry that the area of a rectangle is equal to the product of its length by its breadth ; that is, the number of square units in the surface is equal to the number of... | |
| Edwin Pliny Seaver - 1878 - 376 pages
...rectangle having the same base and height as the parallelogram, though we do not change the area. But the area of a rectangle is equal to the product of its base and height. Hence the Rule. To find the area of any parallelogram : Multiply the base by the height.... | |
| Isaac Todhunter - Mechanics - 1878 - 442 pages
...area of each rectangle represents the work done by the corresponding force. This is obvious, because the area of a rectangle is equal to the product of its base into its altitude. Hence the sum of all the areas represents the whole work. 214. Now let us suppose... | |
| William Frothingham Bradbury - Geometry - 1880 - 260 pages
...of a rectangular parallelopiped is equal to the product of its base by its altitude. 36i Cor. 2. As the area of a rectangle is equal to the product of its two dimensions, the volume of a rectangular parallelopiped is equal to the product of its three dimensions.... | |
| George Anthony Hill - Geometry - 1880 - 332 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... | |
| George Albert Wentworth - 1881 - 266 pages
...= ) 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 IÍ be the rectangle, b the base, and a the altitude ; and let U be... | |
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