| Edward Brooks - Geometry - 1868 - 275 pages
...therefore, 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.... | |
| John Reynell Morell - Geometry - 1871 - 131 pages
...an inch, a foot, &c. Plane figures that have equal superficial extension are called equivalent. 109. **The area of a rectangle is equal to the product of its** base by its height. This proposition is easily deduced from the simple inspection of Figure 89. The... | |
| William Chauvenet - Geometry - 1871 - 368 pages
...represent them when they are measured by the linear unit (III. 8). PROPOSITION III.— THEOREM. 7. **The area of a rectangle is equal to the product of its** base and altitude. Let R be any rectangle, If its base and h its altitude numerically expressed in... | |
| William Frothingham Bradbury - Geometry - 1872 - 238 pages
...polygon ABC DEF will coincide with the polygon GHIKLM, and therefore be equal to it. THEOREM II. 1, **The area of a rectangle is equal to the product of its** base and altitude. B 0 JKD Let A BCD be a rectangle ; its area = A II XA B. Suppose AB and AD to bo... | |
| Edward Olney - Geometry - 1872
...regarding the unit of measure as infinitesimal, and consequently is to be neglected.* Hence, in any case, **the area of a rectangle is equal to the product of its** base into its altitude, ij. KD 321. COB. 1. — The area of a square is equal to the second power of... | |
| William Frothingham Bradbury - Geometry - 1872 - 110 pages
...polygon ABCDEF will coincide with the polygon GHI KLM, and therefore be equal to it. THEOREM II. T, **The area of a rectangle is equal to the product of its** bast and altitude. B 0 PQKC IJKD Let ABCD be a rectangle ; its area = ADXA B. Suppose AB and AD to... | |
| Edward Olney - Geometry - 1872 - 239 pages
...polygon of any number of sides to an equivalent triangle. A AREA. PROPOSITION TI. 320. Theorem. — **The area of a rectangle is equal to the product of its** base and altitude. DEM.— Let ABCD be a rectangle, then is its area equal to the base AB multiplied... | |
| William Chauvenet - Geometry - 1872 - 368 pages
...which represent them when they are measured by the linear unit (III. 8). PROPOSITION III.—THEOBEM. 7 **The area of a rectangle is equal to the product of its** base and altitude. Let R be any rectangle, k its base and h its altitude numerically expressed in terms... | |
| Charles Davies - Geometry - 1872 - 455 pages
...linear unit, the rectangle AEGF will be Iho superficial unit, and we shall have, 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 un1ts in the rectangle, is equal to the product... | |
| Daniel W. Fish - Arithmetic - 1874 - 272 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 (4G2) ; hence, if the area be divided by the length, the quotient will be the width. Now, since... | |
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