Books Books 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 Treatise on Mensuration, Both in Theory and Practice - Page 91
by Charles Hutton - 1788 - 703 pages ## The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

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.... ## The essentials of geometry, plane and solid, as taught in French and German ...

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... ## A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

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... ## An Elementary Geometry and Trigonometry

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... ## A Treatise on Special Or Elementary Geometry, Volumes 1-2

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... ## An Elementary Geometry

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... ## A Treatise on Special, Or Elementary Geometry

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... ## A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

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... ## Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

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... 