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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
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Solid Geometry

Fletcher Durell - Geometry, Solid - 1904 - 206 pages
...to twice the product of the given side by the projection of the median upon that side. BOOK IV. 383. The area of a rectangle is equal to the product of its base by its altitude. 385. The area of a parallelogram is equal to the product of its base by its altitude....
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The Encyclopedia Americana, Volume 13

Frederick Converse Beach - Encyclopedias and dictionaries - 1904
...be contained by AB and BC, or, as it is sometimes expressed, it is the rectangle under А B and B C. The area of a rectangle is equal to the product of its base and altitude. Rectangles haying equal bases are to each other as their altitudes : rectangles...
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Plane Geometry

Fletcher Durell - Geometry, Plane - 1904 - 372 pages
...dimensions are 9X2 in. B a R' 1 S b b' 6 AREAS OP POLYGONS AREAS OF POLYGONS PROPOSITION III. THEOREM 383. The area of a rectangle is equal to the product of its base by its altitude. 1\U\ 1 Given the rectangle R, with a base containing 6, and an. altitude containing...
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PLANE AND SOLID GEOMETRY

FLETCHER DURELL. PH.D. - 1911
...that of one whose dimensions are 9 X 2 in. R a R " 5 i AREAS OF POLYGONS PROPOSITION III. THEOREM 383, The area of a rectangle is equal to the product of its base by its altitude. Given the rectangle R, with a base containing b, and an altitude containing h...
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Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 107 pages
...called its dimensions. In Chapter IV ( 181), we assumed (without proof) the well-known principle that the area of a rectangle is equal to the product of its two dimensions. Similarly, we shall now assume that the volume of a rectangular parallelepiped" is...
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First Course in Algebra

William Benjamin Fite - Algebra - 1913 - 334 pages
...m23 + 5 mn* + и5. 51. Multiplication of Polynomials. — The student is familiar with the fact that the area of a rectangle is equal to the product of its base and altitude. If we have two rectangles with the common altitude a and bases x and y respectively,...
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First Course in Algebra

William Benjamin Fite - Algebra - 1913 - 285 pages
...mW + 5 mw4 + w5. 51. Multiplication of Polynomials. — The student is familiar with the fact that the area of a rectangle is equal to the product of its base and altitude. If we have two rectangles with the common altitude a and bases x and y respectively,...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 457 pages
...of its sides 20 in. Find the ratio of the areas of the two rectangles. PROPOSITION III. THEOREM 347. 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 B = a x b. Proof. Let U...
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Plane and Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 321 pages
...called its dimensions. In Chapter IV ( 181), we assumed (without proof) the well-known principle that the area of a rectangle is equal to the product of its two dimensions. Similarly, we shall now assume that the volume of a rectangular parallelepiped is equal...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 470 pages
...we may find xc, or abc, the product of three lines. AREAS OF POLYGONS PROPOSITION III. THEOREM 320. The area of a rectangle is equal to the product of its base by its altitude. s Given the rectangle R, having for the numerical measure of its base and altitude...
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