 | 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. Now, since... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...rectangle AEGF will be the superficial unit, and we shall have, ABCD AB xAD 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... | |
 | John Reynell Morell - 1875 - 220 pages
...explicit. L R a X 6 . a X b . — = — ^ — ; that is, — ^ — is the measure of the rectangle R. Therefore the area of a rectangle is equal to the product of its base by its height, divided by the second power of the side of the square, taken for unity ; the three... | |
 | 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... | |
 | 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 units... | |
 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...to the square unit taken as a standard (29) as the product of its base by its altitude is to unity ; therefore the area of a rectangle is equal to the product of its base by its altitude, or to the product of its two dimensions. 41. Sch. I. 'By product of the base... | |
 | 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... | |
 | 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
...to the square unit taken as a standard (29) as the product of its base by its altitude is to unity ; therefore the area of a rectangle is equal to the product of its base by its altitude, or to the product of its two dimensions. 41i Sch. 1. By product of the base by... | |
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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. 
