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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.
A Treatise on Mensuration, Both in Theory and Practice - Page 91
by Charles Hutton - 1788 - 703 pages

Plane Geometry

William James Milne - Geometry, Plane - 1899 - 242 pages
...long and 7" wide ? How may the amount of surface, or the area of any rectangle, be found? . Theorem. The area of a rectangle is equal to the product of its base by its altitude. Data : Any rectangle, as A, whose base is d and altitude e. To prove area of...

SYLLABUS OF PROPOSITIONS IN GEOMETRY

1899
...of two rectangles are to each other as the products of their bases and their altitudes. Corollary. The area of a rectangle is equal to the product of its base and its altitude. THEOREM IV. The area of a parallelogram is equal to the product of its base...

Plane and Solid Geometry

William James Milne - Geometry - 1899 - 384 pages
...8" long and 7" wide? How may the amount of surface, or the area of any rectangle, be found? Theorem. The area of a rectangle is equal to the product of its base by its altitude. Data : Any rectangle, as A, whose base is d and altitude e. Proof. Assume that...

Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 473 pages
...length of the rectangle is 4 times its breadth. Compare their areas. PROPOSITION III. THEOREM. 398. The area of a rectangle is equal to the product of its base by its altitude. R Let R be a rectangle, b its base, and a its altitude. To prove that the area...

The Essentials of Geometry

Webster Wells - Geometry - 1899 - 395 pages
...M a ff a 165 304. The dimensions of a rectangle are its base and altitude. PROP. III. THEOREM. 305. The area of a rectangle is equal to the product of its base and altitude. Note. In all propositions relating to areas, the unit of surface (§ 302) is understood...

Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 370 pages
...Find the ratio of the areas of the two rectangles. AREAS OF POLYGONS PROPOSITION III. THEOKEM 339. The area of a rectangle is equal to the product of its base and altitude. 1 u Hyp. R is a rectangle with base b and altitude a. To prove area of R = ax b....

Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 440 pages
...other words, P contains the unit area bh times, or the measure of P is bh. THEOREM. The measure of the area of a rectangle is equal to the product of its base and its altitude. Or, more briefly, the area of a rectangle is equal to the product of its base...

Graded Work in Arithmetic: Years, 5-8, Volume 5

Samuel Wesley Baird - Arithmetic - 1901 - 160 pages
...retaining the same base and altitude. Rhomboid Area=6 sq. in. 3 in. 3in. s Area = 6 sq. in. 3in. As the area of a rectangle is equal to the product of its base and altitude, this is also the area of the rhomboid. PRACTICAL MENSUKATION 125 LESSON 111 1. What...