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 Geometry for Beginners - Page 128by George Anthony Hill - 1880 - 314 pagesFull view - About this book
| 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... | |
| 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. Let R... | |
| Aaron Schuyler - Geometry - 1876 - 384 pages
...couplet, we shall have R : R' :: ab : a'b' (AxG., 317, 17, 13). 196. Proposition III. — Theorem. Tlie area of a rectangle is equal to the product of its base by its altitude. 1. When the base and altitude are commensurable: Let R denote a rectangle, b the numerical... | |
| 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 Frothingham Bradbury - Geometry - 1877 - 262 pages
...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 by the altitude,... | |
| 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... | |
| 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... | |
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