 | William Chauvenet - Geometry - 1871 - 380 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 terms of the linear unit; and let Q be the... | |
 | William Chauvenet - Geometry - 1871 - 380 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 jR be any rectangle, k its base and h its altitude numerically expressed in terms of the linear unit... | |
 | John Reynell Morell - Geometry - 1871 - 156 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 - 1872 - 382 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...the square whose side is the linear unit; then, by the preceding theorem, •ti K X "• 7 * ~Q 1X1 But since Q is the unit of surface, — = the numerical... | |
 | William Frothingham Bradbury - Geometry - 1872 - 262 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 divided into any number... | |
 | Charles Davies - Geometry - 1872 - 464 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 of the number of... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...regarding the unit of measure as infinitesimal, and consequently is 10 be neglected.* Hence, in any case, the area of a rectangle is equal to the product of its base into its altitude. QED 321. Сок. 1. — The area of a square is equal to the second power of... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...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 - 124 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... | |
 | 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 of the number... | |
| |
The area of a rectangle is equal to the product of its base and altitude. 
